| 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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