1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [cuddLiteral.c] |
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4 | |
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5 | PackageName [cudd] |
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6 | |
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7 | Synopsis [Functions for manipulation of literal sets represented by |
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8 | BDDs.] |
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9 | |
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10 | Description [External procedures included in this file: |
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11 | <ul> |
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12 | <li> Cudd_bddLiteralSetIntersection() |
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13 | </ul> |
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14 | Internal procedures included in this file: |
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15 | <ul> |
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16 | <li> cuddBddLiteralSetIntersectionRecur() |
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17 | </ul>] |
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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 | /* Stucture declarations */ |
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65 | /*---------------------------------------------------------------------------*/ |
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66 | |
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67 | /*---------------------------------------------------------------------------*/ |
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68 | /* Type declarations */ |
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69 | /*---------------------------------------------------------------------------*/ |
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70 | |
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71 | /*---------------------------------------------------------------------------*/ |
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72 | /* Variable declarations */ |
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73 | /*---------------------------------------------------------------------------*/ |
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74 | |
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75 | #ifndef lint |
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76 | static char rcsid[] DD_UNUSED = "$Id: cuddLiteral.c,v 1.8 2004/08/13 18:04:50 fabio Exp $"; |
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77 | #endif |
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78 | |
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79 | /*---------------------------------------------------------------------------*/ |
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80 | /* Macro declarations */ |
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81 | /*---------------------------------------------------------------------------*/ |
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82 | |
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83 | /**AutomaticStart*************************************************************/ |
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84 | |
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85 | /*---------------------------------------------------------------------------*/ |
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86 | /* Static function prototypes */ |
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87 | /*---------------------------------------------------------------------------*/ |
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88 | |
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89 | |
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90 | /**AutomaticEnd***************************************************************/ |
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91 | |
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92 | |
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93 | /*---------------------------------------------------------------------------*/ |
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94 | /* Definition of exported functions */ |
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95 | /*---------------------------------------------------------------------------*/ |
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96 | |
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97 | |
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98 | /**Function******************************************************************** |
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99 | |
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100 | Synopsis [Computes the intesection of two sets of literals |
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101 | represented as BDDs.] |
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102 | |
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103 | Description [Computes the intesection of two sets of literals |
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104 | represented as BDDs. Each set is represented as a cube of the |
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105 | literals in the set. The empty set is represented by the constant 1. |
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106 | No variable can be simultaneously present in both phases in a set. |
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107 | Returns a pointer to the BDD representing the intersected sets, if |
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108 | successful; NULL otherwise.] |
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109 | |
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110 | SideEffects [None] |
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111 | |
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112 | ******************************************************************************/ |
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113 | DdNode * |
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114 | Cudd_bddLiteralSetIntersection( |
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115 | DdManager * dd, |
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116 | DdNode * f, |
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117 | DdNode * g) |
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118 | { |
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119 | DdNode *res; |
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120 | |
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121 | do { |
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122 | dd->reordered = 0; |
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123 | res = cuddBddLiteralSetIntersectionRecur(dd,f,g); |
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124 | } while (dd->reordered == 1); |
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125 | return(res); |
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126 | |
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127 | } /* end of Cudd_bddLiteralSetIntersection */ |
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128 | |
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129 | |
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130 | /*---------------------------------------------------------------------------*/ |
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131 | /* Definition of internal functions */ |
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132 | /*---------------------------------------------------------------------------*/ |
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133 | |
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134 | |
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135 | /**Function******************************************************************** |
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136 | |
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137 | Synopsis [Performs the recursive step of |
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138 | Cudd_bddLiteralSetIntersection.] |
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139 | |
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140 | Description [Performs the recursive step of |
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141 | Cudd_bddLiteralSetIntersection. Scans the cubes for common variables, |
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142 | and checks whether they agree in phase. Returns a pointer to the |
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143 | resulting cube if successful; NULL otherwise.] |
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144 | |
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145 | SideEffects [None] |
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146 | |
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147 | ******************************************************************************/ |
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148 | DdNode * |
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149 | cuddBddLiteralSetIntersectionRecur( |
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150 | DdManager * dd, |
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151 | DdNode * f, |
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152 | DdNode * g) |
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153 | { |
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154 | DdNode *res, *tmp; |
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155 | DdNode *F, *G; |
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156 | DdNode *fc, *gc; |
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157 | DdNode *one; |
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158 | DdNode *zero; |
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159 | unsigned int topf, topg, comple; |
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160 | int phasef, phaseg; |
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161 | |
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162 | statLine(dd); |
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163 | if (f == g) return(f); |
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164 | |
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165 | F = Cudd_Regular(f); |
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166 | G = Cudd_Regular(g); |
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167 | one = DD_ONE(dd); |
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168 | |
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169 | /* Here f != g. If F == G, then f and g are complementary. |
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170 | ** Since they are two cubes, this case only occurs when f == v, |
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171 | ** g == v', and v is a variable or its complement. |
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172 | */ |
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173 | if (F == G) return(one); |
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174 | |
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175 | zero = Cudd_Not(one); |
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176 | topf = cuddI(dd,F->index); |
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177 | topg = cuddI(dd,G->index); |
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178 | /* Look for a variable common to both cubes. If there are none, this |
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179 | ** loop will stop when the constant node is reached in both cubes. |
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180 | */ |
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181 | while (topf != topg) { |
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182 | if (topf < topg) { /* move down on f */ |
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183 | comple = f != F; |
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184 | f = cuddT(F); |
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185 | if (comple) f = Cudd_Not(f); |
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186 | if (f == zero) { |
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187 | f = cuddE(F); |
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188 | if (comple) f = Cudd_Not(f); |
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189 | } |
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190 | F = Cudd_Regular(f); |
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191 | topf = cuddI(dd,F->index); |
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192 | } else if (topg < topf) { |
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193 | comple = g != G; |
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194 | g = cuddT(G); |
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195 | if (comple) g = Cudd_Not(g); |
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196 | if (g == zero) { |
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197 | g = cuddE(G); |
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198 | if (comple) g = Cudd_Not(g); |
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199 | } |
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200 | G = Cudd_Regular(g); |
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201 | topg = cuddI(dd,G->index); |
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202 | } |
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203 | } |
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204 | |
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205 | /* At this point, f == one <=> g == 1. It suffices to test one of them. */ |
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206 | if (f == one) return(one); |
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207 | |
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208 | res = cuddCacheLookup2(dd,Cudd_bddLiteralSetIntersection,f,g); |
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209 | if (res != NULL) { |
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210 | return(res); |
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211 | } |
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212 | |
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213 | /* Here f and g are both non constant and have the same top variable. */ |
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214 | comple = f != F; |
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215 | fc = cuddT(F); |
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216 | phasef = 1; |
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217 | if (comple) fc = Cudd_Not(fc); |
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218 | if (fc == zero) { |
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219 | fc = cuddE(F); |
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220 | phasef = 0; |
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221 | if (comple) fc = Cudd_Not(fc); |
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222 | } |
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223 | comple = g != G; |
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224 | gc = cuddT(G); |
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225 | phaseg = 1; |
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226 | if (comple) gc = Cudd_Not(gc); |
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227 | if (gc == zero) { |
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228 | gc = cuddE(G); |
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229 | phaseg = 0; |
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230 | if (comple) gc = Cudd_Not(gc); |
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231 | } |
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232 | |
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233 | tmp = cuddBddLiteralSetIntersectionRecur(dd,fc,gc); |
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234 | if (tmp == NULL) { |
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235 | return(NULL); |
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236 | } |
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237 | |
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238 | if (phasef != phaseg) { |
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239 | res = tmp; |
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240 | } else { |
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241 | cuddRef(tmp); |
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242 | if (phasef == 0) { |
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243 | res = cuddBddAndRecur(dd,Cudd_Not(dd->vars[F->index]),tmp); |
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244 | } else { |
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245 | res = cuddBddAndRecur(dd,dd->vars[F->index],tmp); |
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246 | } |
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247 | if (res == NULL) { |
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248 | Cudd_RecursiveDeref(dd,tmp); |
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249 | return(NULL); |
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250 | } |
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251 | cuddDeref(tmp); /* Just cuddDeref, because it is included in result */ |
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252 | } |
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253 | |
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254 | cuddCacheInsert2(dd,Cudd_bddLiteralSetIntersection,f,g,res); |
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255 | |
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256 | return(res); |
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257 | |
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258 | } /* end of cuddBddLiteralSetIntersectionRecur */ |
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259 | |
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260 | |
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261 | /*---------------------------------------------------------------------------*/ |
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262 | /* Definition of static functions */ |
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263 | /*---------------------------------------------------------------------------*/ |
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264 | |
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