1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [cuddAddAbs.c] |
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4 | |
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5 | PackageName [cudd] |
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6 | |
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7 | Synopsis [Quantification functions for ADDs.] |
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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_addExistAbstract() |
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12 | <li> Cudd_addUnivAbstract() |
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13 | <li> Cudd_addOrAbstract() |
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14 | </ul> |
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15 | Internal procedures included in this module: |
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16 | <ul> |
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17 | <li> cuddAddExistAbstractRecur() |
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18 | <li> cuddAddUnivAbstractRecur() |
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19 | <li> cuddAddOrAbstractRecur() |
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20 | </ul> |
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21 | Static procedures included in this module: |
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22 | <ul> |
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23 | <li> addCheckPositiveCube() |
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24 | </ul>] |
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25 | |
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26 | Author [Fabio Somenzi] |
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27 | |
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28 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
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29 | |
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30 | All rights reserved. |
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31 | |
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32 | Redistribution and use in source and binary forms, with or without |
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33 | modification, are permitted provided that the following conditions |
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34 | are met: |
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35 | |
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36 | Redistributions of source code must retain the above copyright |
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37 | notice, this list of conditions and the following disclaimer. |
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38 | |
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39 | Redistributions in binary form must reproduce the above copyright |
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40 | notice, this list of conditions and the following disclaimer in the |
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41 | documentation and/or other materials provided with the distribution. |
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42 | |
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43 | Neither the name of the University of Colorado nor the names of its |
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44 | contributors may be used to endorse or promote products derived from |
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45 | this software without specific prior written permission. |
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46 | |
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47 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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48 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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49 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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50 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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51 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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52 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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53 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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54 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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55 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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56 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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57 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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58 | POSSIBILITY OF SUCH DAMAGE.] |
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59 | |
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60 | ******************************************************************************/ |
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61 | |
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62 | #include "util.h" |
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63 | #include "cuddInt.h" |
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64 | |
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65 | /*---------------------------------------------------------------------------*/ |
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66 | /* Constant declarations */ |
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67 | /*---------------------------------------------------------------------------*/ |
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68 | |
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69 | |
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70 | /*---------------------------------------------------------------------------*/ |
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71 | /* Stucture declarations */ |
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72 | /*---------------------------------------------------------------------------*/ |
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73 | |
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74 | |
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75 | /*---------------------------------------------------------------------------*/ |
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76 | /* Type declarations */ |
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77 | /*---------------------------------------------------------------------------*/ |
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78 | |
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79 | |
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80 | /*---------------------------------------------------------------------------*/ |
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81 | /* Variable declarations */ |
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82 | /*---------------------------------------------------------------------------*/ |
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83 | |
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84 | #ifndef lint |
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85 | static char rcsid[] DD_UNUSED = "$Id: cuddAddAbs.c,v 1.15 2004/08/13 18:04:45 fabio Exp $"; |
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86 | #endif |
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87 | |
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88 | static DdNode *two; |
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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 int addCheckPositiveCube (DdManager *manager, DdNode *cube); |
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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 [Existentially Abstracts all the variables in cube from f.] |
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113 | |
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114 | Description [Abstracts all the variables in cube from f by summing |
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115 | over all possible values taken by the variables. Returns the |
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116 | abstracted ADD.] |
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117 | |
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118 | SideEffects [None] |
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119 | |
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120 | SeeAlso [Cudd_addUnivAbstract Cudd_bddExistAbstract |
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121 | Cudd_addOrAbstract] |
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122 | |
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123 | ******************************************************************************/ |
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124 | DdNode * |
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125 | Cudd_addExistAbstract( |
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126 | DdManager * manager, |
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127 | DdNode * f, |
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128 | DdNode * cube) |
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129 | { |
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130 | DdNode *res; |
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131 | |
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132 | two = cuddUniqueConst(manager,(CUDD_VALUE_TYPE) 2); |
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133 | if (two == NULL) return(NULL); |
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134 | cuddRef(two); |
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135 | |
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136 | if (addCheckPositiveCube(manager, cube) == 0) { |
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137 | (void) fprintf(manager->err,"Error: Can only abstract cubes"); |
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138 | return(NULL); |
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139 | } |
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140 | |
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141 | do { |
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142 | manager->reordered = 0; |
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143 | res = cuddAddExistAbstractRecur(manager, f, cube); |
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144 | } while (manager->reordered == 1); |
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145 | |
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146 | if (res == NULL) { |
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147 | Cudd_RecursiveDeref(manager,two); |
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148 | return(NULL); |
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149 | } |
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150 | cuddRef(res); |
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151 | Cudd_RecursiveDeref(manager,two); |
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152 | cuddDeref(res); |
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153 | |
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154 | return(res); |
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155 | |
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156 | } /* end of Cudd_addExistAbstract */ |
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157 | |
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158 | |
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159 | /**Function******************************************************************** |
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160 | |
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161 | Synopsis [Universally Abstracts all the variables in cube from f.] |
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162 | |
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163 | Description [Abstracts all the variables in cube from f by taking |
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164 | the product over all possible values taken by the variable. Returns |
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165 | the abstracted ADD if successful; NULL otherwise.] |
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166 | |
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167 | SideEffects [None] |
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168 | |
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169 | SeeAlso [Cudd_addExistAbstract Cudd_bddUnivAbstract |
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170 | Cudd_addOrAbstract] |
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171 | |
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172 | ******************************************************************************/ |
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173 | DdNode * |
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174 | Cudd_addUnivAbstract( |
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175 | DdManager * manager, |
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176 | DdNode * f, |
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177 | DdNode * cube) |
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178 | { |
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179 | DdNode *res; |
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180 | |
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181 | if (addCheckPositiveCube(manager, cube) == 0) { |
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182 | (void) fprintf(manager->err,"Error: Can only abstract cubes"); |
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183 | return(NULL); |
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184 | } |
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185 | |
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186 | do { |
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187 | manager->reordered = 0; |
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188 | res = cuddAddUnivAbstractRecur(manager, f, cube); |
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189 | } while (manager->reordered == 1); |
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190 | |
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191 | return(res); |
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192 | |
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193 | } /* end of Cudd_addUnivAbstract */ |
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194 | |
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195 | |
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196 | /**Function******************************************************************** |
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197 | |
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198 | Synopsis [Disjunctively abstracts all the variables in cube from the |
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199 | 0-1 ADD f.] |
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200 | |
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201 | Description [Abstracts all the variables in cube from the 0-1 ADD f |
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202 | by taking the disjunction over all possible values taken by the |
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203 | variables. Returns the abstracted ADD if successful; NULL |
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204 | otherwise.] |
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205 | |
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206 | SideEffects [None] |
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207 | |
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208 | SeeAlso [Cudd_addUnivAbstract Cudd_addExistAbstract] |
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209 | |
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210 | ******************************************************************************/ |
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211 | DdNode * |
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212 | Cudd_addOrAbstract( |
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213 | DdManager * manager, |
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214 | DdNode * f, |
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215 | DdNode * cube) |
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216 | { |
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217 | DdNode *res; |
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218 | |
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219 | if (addCheckPositiveCube(manager, cube) == 0) { |
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220 | (void) fprintf(manager->err,"Error: Can only abstract cubes"); |
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221 | return(NULL); |
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222 | } |
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223 | |
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224 | do { |
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225 | manager->reordered = 0; |
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226 | res = cuddAddOrAbstractRecur(manager, f, cube); |
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227 | } while (manager->reordered == 1); |
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228 | return(res); |
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229 | |
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230 | } /* end of Cudd_addOrAbstract */ |
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231 | |
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232 | |
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233 | /*---------------------------------------------------------------------------*/ |
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234 | /* Definition of internal functions */ |
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235 | /*---------------------------------------------------------------------------*/ |
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236 | |
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237 | |
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238 | /**Function******************************************************************** |
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239 | |
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240 | Synopsis [Performs the recursive step of Cudd_addExistAbstract.] |
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241 | |
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242 | Description [Performs the recursive step of Cudd_addExistAbstract. |
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243 | Returns the ADD obtained by abstracting the variables of cube from f, |
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244 | if successful; NULL otherwise.] |
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245 | |
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246 | SideEffects [None] |
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247 | |
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248 | SeeAlso [] |
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249 | |
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250 | ******************************************************************************/ |
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251 | DdNode * |
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252 | cuddAddExistAbstractRecur( |
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253 | DdManager * manager, |
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254 | DdNode * f, |
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255 | DdNode * cube) |
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256 | { |
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257 | DdNode *T, *E, *res, *res1, *res2, *zero; |
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258 | |
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259 | statLine(manager); |
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260 | zero = DD_ZERO(manager); |
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261 | |
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262 | /* Cube is guaranteed to be a cube at this point. */ |
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263 | if (f == zero || cuddIsConstant(cube)) { |
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264 | return(f); |
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265 | } |
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266 | |
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267 | /* Abstract a variable that does not appear in f => multiply by 2. */ |
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268 | if (cuddI(manager,f->index) > cuddI(manager,cube->index)) { |
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269 | res1 = cuddAddExistAbstractRecur(manager, f, cuddT(cube)); |
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270 | if (res1 == NULL) return(NULL); |
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271 | cuddRef(res1); |
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272 | /* Use the "internal" procedure to be alerted in case of |
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273 | ** dynamic reordering. If dynamic reordering occurs, we |
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274 | ** have to abort the entire abstraction. |
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275 | */ |
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276 | res = cuddAddApplyRecur(manager,Cudd_addTimes,res1,two); |
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277 | if (res == NULL) { |
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278 | Cudd_RecursiveDeref(manager,res1); |
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279 | return(NULL); |
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280 | } |
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281 | cuddRef(res); |
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282 | Cudd_RecursiveDeref(manager,res1); |
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283 | cuddDeref(res); |
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284 | return(res); |
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285 | } |
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286 | |
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287 | if ((res = cuddCacheLookup2(manager, Cudd_addExistAbstract, f, cube)) != NULL) { |
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288 | return(res); |
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289 | } |
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290 | |
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291 | T = cuddT(f); |
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292 | E = cuddE(f); |
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293 | |
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294 | /* If the two indices are the same, so are their levels. */ |
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295 | if (f->index == cube->index) { |
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296 | res1 = cuddAddExistAbstractRecur(manager, T, cuddT(cube)); |
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297 | if (res1 == NULL) return(NULL); |
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298 | cuddRef(res1); |
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299 | res2 = cuddAddExistAbstractRecur(manager, E, cuddT(cube)); |
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300 | if (res2 == NULL) { |
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301 | Cudd_RecursiveDeref(manager,res1); |
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302 | return(NULL); |
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303 | } |
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304 | cuddRef(res2); |
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305 | res = cuddAddApplyRecur(manager, Cudd_addPlus, res1, res2); |
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306 | if (res == NULL) { |
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307 | Cudd_RecursiveDeref(manager,res1); |
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308 | Cudd_RecursiveDeref(manager,res2); |
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309 | return(NULL); |
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310 | } |
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311 | cuddRef(res); |
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312 | Cudd_RecursiveDeref(manager,res1); |
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313 | Cudd_RecursiveDeref(manager,res2); |
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314 | cuddCacheInsert2(manager, Cudd_addExistAbstract, f, cube, res); |
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315 | cuddDeref(res); |
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316 | return(res); |
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317 | } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */ |
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318 | res1 = cuddAddExistAbstractRecur(manager, T, cube); |
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319 | if (res1 == NULL) return(NULL); |
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320 | cuddRef(res1); |
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321 | res2 = cuddAddExistAbstractRecur(manager, E, cube); |
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322 | if (res2 == NULL) { |
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323 | Cudd_RecursiveDeref(manager,res1); |
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324 | return(NULL); |
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325 | } |
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326 | cuddRef(res2); |
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327 | res = (res1 == res2) ? res1 : |
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328 | cuddUniqueInter(manager, (int) f->index, res1, res2); |
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329 | if (res == NULL) { |
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330 | Cudd_RecursiveDeref(manager,res1); |
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331 | Cudd_RecursiveDeref(manager,res2); |
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332 | return(NULL); |
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333 | } |
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334 | cuddDeref(res1); |
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335 | cuddDeref(res2); |
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336 | cuddCacheInsert2(manager, Cudd_addExistAbstract, f, cube, res); |
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337 | return(res); |
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338 | } |
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339 | |
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340 | } /* end of cuddAddExistAbstractRecur */ |
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341 | |
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342 | |
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343 | /**Function******************************************************************** |
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344 | |
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345 | Synopsis [Performs the recursive step of Cudd_addUnivAbstract.] |
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346 | |
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347 | Description [Performs the recursive step of Cudd_addUnivAbstract. |
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348 | Returns the ADD obtained by abstracting the variables of cube from f, |
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349 | if successful; NULL otherwise.] |
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350 | |
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351 | SideEffects [None] |
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352 | |
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353 | SeeAlso [] |
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354 | |
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355 | ******************************************************************************/ |
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356 | DdNode * |
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357 | cuddAddUnivAbstractRecur( |
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358 | DdManager * manager, |
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359 | DdNode * f, |
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360 | DdNode * cube) |
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361 | { |
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362 | DdNode *T, *E, *res, *res1, *res2, *one, *zero; |
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363 | |
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364 | statLine(manager); |
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365 | one = DD_ONE(manager); |
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366 | zero = DD_ZERO(manager); |
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367 | |
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368 | /* Cube is guaranteed to be a cube at this point. |
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369 | ** zero and one are the only constatnts c such that c*c=c. |
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370 | */ |
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371 | if (f == zero || f == one || cube == one) { |
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372 | return(f); |
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373 | } |
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374 | |
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375 | /* Abstract a variable that does not appear in f. */ |
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376 | if (cuddI(manager,f->index) > cuddI(manager,cube->index)) { |
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377 | res1 = cuddAddUnivAbstractRecur(manager, f, cuddT(cube)); |
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378 | if (res1 == NULL) return(NULL); |
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379 | cuddRef(res1); |
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380 | /* Use the "internal" procedure to be alerted in case of |
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381 | ** dynamic reordering. If dynamic reordering occurs, we |
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382 | ** have to abort the entire abstraction. |
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383 | */ |
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384 | res = cuddAddApplyRecur(manager, Cudd_addTimes, res1, res1); |
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385 | if (res == NULL) { |
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386 | Cudd_RecursiveDeref(manager,res1); |
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387 | return(NULL); |
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388 | } |
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389 | cuddRef(res); |
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390 | Cudd_RecursiveDeref(manager,res1); |
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391 | cuddDeref(res); |
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392 | return(res); |
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393 | } |
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394 | |
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395 | if ((res = cuddCacheLookup2(manager, Cudd_addUnivAbstract, f, cube)) != NULL) { |
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396 | return(res); |
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397 | } |
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398 | |
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399 | T = cuddT(f); |
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400 | E = cuddE(f); |
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401 | |
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402 | /* If the two indices are the same, so are their levels. */ |
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403 | if (f->index == cube->index) { |
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404 | res1 = cuddAddUnivAbstractRecur(manager, T, cuddT(cube)); |
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405 | if (res1 == NULL) return(NULL); |
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406 | cuddRef(res1); |
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407 | res2 = cuddAddUnivAbstractRecur(manager, E, cuddT(cube)); |
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408 | if (res2 == NULL) { |
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409 | Cudd_RecursiveDeref(manager,res1); |
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410 | return(NULL); |
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411 | } |
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412 | cuddRef(res2); |
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413 | res = cuddAddApplyRecur(manager, Cudd_addTimes, res1, res2); |
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414 | if (res == NULL) { |
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415 | Cudd_RecursiveDeref(manager,res1); |
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416 | Cudd_RecursiveDeref(manager,res2); |
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417 | return(NULL); |
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418 | } |
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419 | cuddRef(res); |
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420 | Cudd_RecursiveDeref(manager,res1); |
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421 | Cudd_RecursiveDeref(manager,res2); |
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422 | cuddCacheInsert2(manager, Cudd_addUnivAbstract, f, cube, res); |
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423 | cuddDeref(res); |
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424 | return(res); |
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425 | } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */ |
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426 | res1 = cuddAddUnivAbstractRecur(manager, T, cube); |
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427 | if (res1 == NULL) return(NULL); |
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428 | cuddRef(res1); |
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429 | res2 = cuddAddUnivAbstractRecur(manager, E, cube); |
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430 | if (res2 == NULL) { |
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431 | Cudd_RecursiveDeref(manager,res1); |
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432 | return(NULL); |
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433 | } |
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434 | cuddRef(res2); |
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435 | res = (res1 == res2) ? res1 : |
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436 | cuddUniqueInter(manager, (int) f->index, res1, res2); |
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437 | if (res == NULL) { |
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438 | Cudd_RecursiveDeref(manager,res1); |
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439 | Cudd_RecursiveDeref(manager,res2); |
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440 | return(NULL); |
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441 | } |
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442 | cuddDeref(res1); |
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443 | cuddDeref(res2); |
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444 | cuddCacheInsert2(manager, Cudd_addUnivAbstract, f, cube, res); |
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445 | return(res); |
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446 | } |
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447 | |
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448 | } /* end of cuddAddUnivAbstractRecur */ |
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449 | |
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450 | |
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451 | /**Function******************************************************************** |
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452 | |
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453 | Synopsis [Performs the recursive step of Cudd_addOrAbstract.] |
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454 | |
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455 | Description [Performs the recursive step of Cudd_addOrAbstract. |
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456 | Returns the ADD obtained by abstracting the variables of cube from f, |
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457 | if successful; NULL otherwise.] |
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458 | |
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459 | SideEffects [None] |
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460 | |
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461 | SeeAlso [] |
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462 | |
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463 | ******************************************************************************/ |
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464 | DdNode * |
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465 | cuddAddOrAbstractRecur( |
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466 | DdManager * manager, |
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467 | DdNode * f, |
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468 | DdNode * cube) |
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469 | { |
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470 | DdNode *T, *E, *res, *res1, *res2, *one; |
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471 | |
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472 | statLine(manager); |
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473 | one = DD_ONE(manager); |
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474 | |
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475 | /* Cube is guaranteed to be a cube at this point. */ |
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476 | if (cuddIsConstant(f) || cube == one) { |
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477 | return(f); |
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478 | } |
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479 | |
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480 | /* Abstract a variable that does not appear in f. */ |
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481 | if (cuddI(manager,f->index) > cuddI(manager,cube->index)) { |
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482 | res = cuddAddOrAbstractRecur(manager, f, cuddT(cube)); |
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483 | return(res); |
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484 | } |
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485 | |
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486 | if ((res = cuddCacheLookup2(manager, Cudd_addOrAbstract, f, cube)) != NULL) { |
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487 | return(res); |
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488 | } |
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489 | |
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490 | T = cuddT(f); |
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491 | E = cuddE(f); |
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492 | |
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493 | /* If the two indices are the same, so are their levels. */ |
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494 | if (f->index == cube->index) { |
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495 | res1 = cuddAddOrAbstractRecur(manager, T, cuddT(cube)); |
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496 | if (res1 == NULL) return(NULL); |
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497 | cuddRef(res1); |
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498 | if (res1 != one) { |
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499 | res2 = cuddAddOrAbstractRecur(manager, E, cuddT(cube)); |
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500 | if (res2 == NULL) { |
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501 | Cudd_RecursiveDeref(manager,res1); |
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502 | return(NULL); |
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503 | } |
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504 | cuddRef(res2); |
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505 | res = cuddAddApplyRecur(manager, Cudd_addOr, res1, res2); |
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506 | if (res == NULL) { |
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507 | Cudd_RecursiveDeref(manager,res1); |
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508 | Cudd_RecursiveDeref(manager,res2); |
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509 | return(NULL); |
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510 | } |
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511 | cuddRef(res); |
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512 | Cudd_RecursiveDeref(manager,res1); |
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513 | Cudd_RecursiveDeref(manager,res2); |
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514 | } else { |
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515 | res = res1; |
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516 | } |
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517 | cuddCacheInsert2(manager, Cudd_addOrAbstract, f, cube, res); |
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518 | cuddDeref(res); |
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519 | return(res); |
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520 | } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */ |
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521 | res1 = cuddAddOrAbstractRecur(manager, T, cube); |
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522 | if (res1 == NULL) return(NULL); |
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523 | cuddRef(res1); |
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524 | res2 = cuddAddOrAbstractRecur(manager, E, cube); |
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525 | if (res2 == NULL) { |
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526 | Cudd_RecursiveDeref(manager,res1); |
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527 | return(NULL); |
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528 | } |
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529 | cuddRef(res2); |
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530 | res = (res1 == res2) ? res1 : |
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531 | cuddUniqueInter(manager, (int) f->index, res1, res2); |
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532 | if (res == NULL) { |
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533 | Cudd_RecursiveDeref(manager,res1); |
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534 | Cudd_RecursiveDeref(manager,res2); |
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535 | return(NULL); |
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536 | } |
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537 | cuddDeref(res1); |
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538 | cuddDeref(res2); |
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539 | cuddCacheInsert2(manager, Cudd_addOrAbstract, f, cube, res); |
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540 | return(res); |
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541 | } |
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542 | |
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543 | } /* end of cuddAddOrAbstractRecur */ |
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544 | |
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545 | |
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546 | |
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547 | /*---------------------------------------------------------------------------*/ |
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548 | /* Definition of static functions */ |
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549 | /*---------------------------------------------------------------------------*/ |
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550 | |
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551 | |
---|
552 | /**Function******************************************************************** |
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553 | |
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554 | Synopsis [Checks whether cube is an ADD representing the product |
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555 | of positive literals.] |
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556 | |
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557 | Description [Checks whether cube is an ADD representing the product of |
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558 | positive literals. Returns 1 in case of success; 0 otherwise.] |
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559 | |
---|
560 | SideEffects [None] |
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561 | |
---|
562 | SeeAlso [] |
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563 | |
---|
564 | ******************************************************************************/ |
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565 | static int |
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566 | addCheckPositiveCube( |
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567 | DdManager * manager, |
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568 | DdNode * cube) |
---|
569 | { |
---|
570 | if (Cudd_IsComplement(cube)) return(0); |
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571 | if (cube == DD_ONE(manager)) return(1); |
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572 | if (cuddIsConstant(cube)) return(0); |
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573 | if (cuddE(cube) == DD_ZERO(manager)) { |
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574 | return(addCheckPositiveCube(manager, cuddT(cube))); |
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575 | } |
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576 | return(0); |
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577 | |
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578 | } /* end of addCheckPositiveCube */ |
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579 | |
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