[13] | 1 | /**CFile*********************************************************************** |
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| 2 | |
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| 3 | FileName [cuddCof.c] |
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| 4 | |
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| 5 | PackageName [cudd] |
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| 6 | |
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| 7 | Synopsis [Cofactoring functions.] |
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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_Cofactor() |
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| 12 | </ul> |
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| 13 | Internal procedures included in this module: |
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| 14 | <ul> |
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| 15 | <li> cuddGetBranches() |
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| 16 | <li> cuddCheckCube() |
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| 17 | <li> cuddCofactorRecur() |
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| 18 | </ul> |
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| 19 | ] |
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| 20 | |
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| 21 | SeeAlso [] |
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| 22 | |
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| 23 | Author [Fabio Somenzi] |
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| 24 | |
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| 25 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
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| 26 | |
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| 27 | All rights reserved. |
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| 28 | |
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| 29 | Redistribution and use in source and binary forms, with or without |
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| 30 | modification, are permitted provided that the following conditions |
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| 31 | are met: |
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| 32 | |
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| 33 | Redistributions of source code must retain the above copyright |
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| 34 | notice, this list of conditions and the following disclaimer. |
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| 35 | |
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| 36 | Redistributions in binary form must reproduce the above copyright |
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| 37 | notice, this list of conditions and the following disclaimer in the |
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| 38 | documentation and/or other materials provided with the distribution. |
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| 39 | |
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| 40 | Neither the name of the University of Colorado nor the names of its |
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| 41 | contributors may be used to endorse or promote products derived from |
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| 42 | this software without specific prior written permission. |
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| 43 | |
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| 44 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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| 45 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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| 46 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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| 47 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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| 48 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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| 49 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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| 50 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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| 51 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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| 52 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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| 53 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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| 54 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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| 55 | POSSIBILITY OF SUCH DAMAGE.] |
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| 56 | |
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| 57 | ******************************************************************************/ |
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| 58 | |
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| 59 | #include "util.h" |
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| 60 | #include "cuddInt.h" |
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| 61 | |
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| 62 | /*---------------------------------------------------------------------------*/ |
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| 63 | /* Constant declarations */ |
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| 64 | /*---------------------------------------------------------------------------*/ |
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| 65 | |
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| 66 | |
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| 67 | /*---------------------------------------------------------------------------*/ |
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| 68 | /* Stucture declarations */ |
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| 69 | /*---------------------------------------------------------------------------*/ |
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| 70 | |
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| 71 | |
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| 72 | /*---------------------------------------------------------------------------*/ |
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| 73 | /* Type declarations */ |
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| 74 | /*---------------------------------------------------------------------------*/ |
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| 75 | |
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| 76 | |
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| 77 | /*---------------------------------------------------------------------------*/ |
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| 78 | /* Variable declarations */ |
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| 79 | /*---------------------------------------------------------------------------*/ |
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| 80 | |
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| 81 | #ifndef lint |
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| 82 | static char rcsid[] DD_UNUSED = "$Id: cuddCof.c,v 1.9 2004/08/13 18:04:47 fabio Exp $"; |
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| 83 | #endif |
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| 84 | |
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| 85 | /*---------------------------------------------------------------------------*/ |
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| 86 | /* Macro declarations */ |
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| 87 | /*---------------------------------------------------------------------------*/ |
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| 88 | |
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| 89 | |
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| 90 | /**AutomaticStart*************************************************************/ |
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| 91 | |
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| 92 | /*---------------------------------------------------------------------------*/ |
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| 93 | /* Static function prototypes */ |
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| 94 | /*---------------------------------------------------------------------------*/ |
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| 95 | |
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| 96 | |
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| 97 | /**AutomaticEnd***************************************************************/ |
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| 98 | |
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| 99 | |
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| 100 | /*---------------------------------------------------------------------------*/ |
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| 101 | /* Definition of exported functions */ |
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| 102 | /*---------------------------------------------------------------------------*/ |
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| 103 | |
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| 104 | |
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| 105 | /**Function******************************************************************** |
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| 106 | |
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| 107 | Synopsis [Computes the cofactor of f with respect to g.] |
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| 108 | |
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| 109 | Description [Computes the cofactor of f with respect to g; g must be |
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| 110 | the BDD or the ADD of a cube. Returns a pointer to the cofactor if |
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| 111 | successful; NULL otherwise.] |
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| 112 | |
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| 113 | SideEffects [None] |
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| 114 | |
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| 115 | SeeAlso [Cudd_bddConstrain Cudd_bddRestrict] |
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| 116 | |
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| 117 | ******************************************************************************/ |
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| 118 | DdNode * |
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| 119 | Cudd_Cofactor( |
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| 120 | DdManager * dd, |
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| 121 | DdNode * f, |
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| 122 | DdNode * g) |
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| 123 | { |
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| 124 | DdNode *res,*zero; |
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| 125 | |
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| 126 | zero = Cudd_Not(DD_ONE(dd)); |
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| 127 | if (g == zero || g == DD_ZERO(dd)) { |
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| 128 | (void) fprintf(dd->err,"Cudd_Cofactor: Invalid restriction 1\n"); |
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| 129 | dd->errorCode = CUDD_INVALID_ARG; |
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| 130 | return(NULL); |
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| 131 | } |
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| 132 | do { |
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| 133 | dd->reordered = 0; |
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| 134 | res = cuddCofactorRecur(dd,f,g); |
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| 135 | } while (dd->reordered == 1); |
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| 136 | return(res); |
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| 137 | |
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| 138 | } /* end of Cudd_Cofactor */ |
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| 139 | |
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| 140 | |
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| 141 | /*---------------------------------------------------------------------------*/ |
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| 142 | /* Definition of internal functions */ |
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| 143 | /*---------------------------------------------------------------------------*/ |
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| 144 | |
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| 145 | |
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| 146 | /**Function******************************************************************** |
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| 147 | |
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| 148 | Synopsis [Computes the children of g.] |
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| 149 | |
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| 150 | Description [] |
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| 151 | |
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| 152 | SideEffects [None] |
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| 153 | |
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| 154 | SeeAlso [] |
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| 155 | |
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| 156 | ******************************************************************************/ |
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| 157 | void |
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| 158 | cuddGetBranches( |
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| 159 | DdNode * g, |
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| 160 | DdNode ** g1, |
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| 161 | DdNode ** g0) |
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| 162 | { |
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| 163 | DdNode *G = Cudd_Regular(g); |
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| 164 | |
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| 165 | *g1 = cuddT(G); |
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| 166 | *g0 = cuddE(G); |
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| 167 | if (Cudd_IsComplement(g)) { |
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| 168 | *g1 = Cudd_Not(*g1); |
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| 169 | *g0 = Cudd_Not(*g0); |
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| 170 | } |
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| 171 | |
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| 172 | } /* end of cuddGetBranches */ |
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| 173 | |
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| 174 | |
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| 175 | /**Function******************************************************************** |
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| 176 | |
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| 177 | Synopsis [Checks whether g is the BDD of a cube.] |
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| 178 | |
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| 179 | Description [Checks whether g is the BDD of a cube. Returns 1 in case |
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| 180 | of success; 0 otherwise. The constant 1 is a valid cube, but all other |
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| 181 | constant functions cause cuddCheckCube to return 0.] |
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| 182 | |
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| 183 | SideEffects [None] |
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| 184 | |
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| 185 | SeeAlso [] |
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| 186 | |
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| 187 | ******************************************************************************/ |
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| 188 | int |
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| 189 | cuddCheckCube( |
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| 190 | DdManager * dd, |
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| 191 | DdNode * g) |
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| 192 | { |
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| 193 | DdNode *g1,*g0,*one,*zero; |
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| 194 | |
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| 195 | one = DD_ONE(dd); |
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| 196 | if (g == one) return(1); |
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| 197 | if (Cudd_IsConstant(g)) return(0); |
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| 198 | |
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| 199 | zero = Cudd_Not(one); |
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| 200 | cuddGetBranches(g,&g1,&g0); |
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| 201 | |
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| 202 | if (g0 == zero) { |
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| 203 | return(cuddCheckCube(dd, g1)); |
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| 204 | } |
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| 205 | if (g1 == zero) { |
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| 206 | return(cuddCheckCube(dd, g0)); |
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| 207 | } |
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| 208 | return(0); |
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| 209 | |
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| 210 | } /* end of cuddCheckCube */ |
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| 211 | |
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| 212 | |
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| 213 | /**Function******************************************************************** |
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| 214 | |
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| 215 | Synopsis [Performs the recursive step of Cudd_Cofactor.] |
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| 216 | |
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| 217 | Description [Performs the recursive step of Cudd_Cofactor. Returns a |
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| 218 | pointer to the cofactor if successful; NULL otherwise.] |
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| 219 | |
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| 220 | SideEffects [None] |
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| 221 | |
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| 222 | SeeAlso [Cudd_Cofactor] |
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| 223 | |
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| 224 | ******************************************************************************/ |
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| 225 | DdNode * |
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| 226 | cuddCofactorRecur( |
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| 227 | DdManager * dd, |
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| 228 | DdNode * f, |
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| 229 | DdNode * g) |
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| 230 | { |
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| 231 | DdNode *one,*zero,*F,*G,*g1,*g0,*f1,*f0,*t,*e,*r; |
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| 232 | unsigned int topf,topg; |
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| 233 | int comple; |
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| 234 | |
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| 235 | statLine(dd); |
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| 236 | F = Cudd_Regular(f); |
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| 237 | if (cuddIsConstant(F)) return(f); |
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| 238 | |
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| 239 | one = DD_ONE(dd); |
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| 240 | |
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| 241 | /* The invariant g != 0 is true on entry to this procedure and is |
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| 242 | ** recursively maintained by it. Therefore it suffices to test g |
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| 243 | ** against one to make sure it is not constant. |
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| 244 | */ |
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| 245 | if (g == one) return(f); |
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| 246 | /* From now on, f and g are known not to be constants. */ |
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| 247 | |
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| 248 | comple = f != F; |
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| 249 | r = cuddCacheLookup2(dd,Cudd_Cofactor,F,g); |
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| 250 | if (r != NULL) { |
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| 251 | return(Cudd_NotCond(r,comple)); |
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| 252 | } |
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| 253 | |
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| 254 | topf = dd->perm[F->index]; |
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| 255 | G = Cudd_Regular(g); |
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| 256 | topg = dd->perm[G->index]; |
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| 257 | |
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| 258 | /* We take the cofactors of F because we are going to rely on |
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| 259 | ** the fact that the cofactors of the complement are the complements |
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| 260 | ** of the cofactors to better utilize the cache. Variable comple |
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| 261 | ** remembers whether we have to complement the result or not. |
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| 262 | */ |
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| 263 | if (topf <= topg) { |
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| 264 | f1 = cuddT(F); f0 = cuddE(F); |
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| 265 | } else { |
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| 266 | f1 = f0 = F; |
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| 267 | } |
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| 268 | if (topg <= topf) { |
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| 269 | g1 = cuddT(G); g0 = cuddE(G); |
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| 270 | if (g != G) { g1 = Cudd_Not(g1); g0 = Cudd_Not(g0); } |
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| 271 | } else { |
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| 272 | g1 = g0 = g; |
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| 273 | } |
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| 274 | |
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| 275 | zero = Cudd_Not(one); |
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| 276 | if (topf >= topg) { |
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| 277 | if (g0 == zero || g0 == DD_ZERO(dd)) { |
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| 278 | r = cuddCofactorRecur(dd, f1, g1); |
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| 279 | } else if (g1 == zero || g1 == DD_ZERO(dd)) { |
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| 280 | r = cuddCofactorRecur(dd, f0, g0); |
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| 281 | } else { |
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| 282 | (void) fprintf(dd->out, |
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| 283 | "Cudd_Cofactor: Invalid restriction 2\n"); |
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| 284 | dd->errorCode = CUDD_INVALID_ARG; |
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| 285 | return(NULL); |
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| 286 | } |
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| 287 | if (r == NULL) return(NULL); |
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| 288 | } else /* if (topf < topg) */ { |
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| 289 | t = cuddCofactorRecur(dd, f1, g); |
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| 290 | if (t == NULL) return(NULL); |
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| 291 | cuddRef(t); |
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| 292 | e = cuddCofactorRecur(dd, f0, g); |
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| 293 | if (e == NULL) { |
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| 294 | Cudd_RecursiveDeref(dd, t); |
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| 295 | return(NULL); |
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| 296 | } |
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| 297 | cuddRef(e); |
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| 298 | |
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| 299 | if (t == e) { |
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| 300 | r = t; |
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| 301 | } else if (Cudd_IsComplement(t)) { |
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| 302 | r = cuddUniqueInter(dd,(int)F->index,Cudd_Not(t),Cudd_Not(e)); |
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| 303 | if (r != NULL) |
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| 304 | r = Cudd_Not(r); |
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| 305 | } else { |
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| 306 | r = cuddUniqueInter(dd,(int)F->index,t,e); |
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| 307 | } |
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| 308 | if (r == NULL) { |
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| 309 | Cudd_RecursiveDeref(dd ,e); |
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| 310 | Cudd_RecursiveDeref(dd ,t); |
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| 311 | return(NULL); |
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| 312 | } |
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| 313 | cuddDeref(t); |
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| 314 | cuddDeref(e); |
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| 315 | } |
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| 316 | |
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| 317 | cuddCacheInsert2(dd,Cudd_Cofactor,F,g,r); |
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| 318 | |
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| 319 | return(Cudd_NotCond(r,comple)); |
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| 320 | |
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| 321 | } /* end of cuddCofactorRecur */ |
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| 322 | |
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| 323 | |
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| 324 | /*---------------------------------------------------------------------------*/ |
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| 325 | /* Definition of static functions */ |
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| 326 | /*---------------------------------------------------------------------------*/ |
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| 327 | |
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