| 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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