| 1 | /**CFile***********************************************************************
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| 2 |
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| 3 | FileName [cuddAddFind.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 to find maximum and minimum in an ADD and to
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| 8 | extract the i-th bit.]
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| 9 |
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| 10 | Description [External procedures included in this module:
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| 11 | <ul>
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| 12 | <li> Cudd_addFindMax()
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| 13 | <li> Cudd_addFindMin()
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| 14 | <li> Cudd_addIthBit()
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| 15 | </ul>
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| 16 | Static functions included in this module:
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| 17 | <ul>
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| 18 | <li> addDoIthBit()
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| 19 | </ul>]
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| 20 |
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| 21 | Author [Fabio Somenzi]
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| 22 |
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| 23 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado
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| 24 |
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| 25 | All rights reserved.
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| 26 |
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| 27 | Redistribution and use in source and binary forms, with or without
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| 28 | modification, are permitted provided that the following conditions
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| 29 | are met:
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| 30 |
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| 31 | Redistributions of source code must retain the above copyright
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| 32 | notice, this list of conditions and the following disclaimer.
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| 33 |
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| 34 | Redistributions in binary form must reproduce the above copyright
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| 35 | notice, this list of conditions and the following disclaimer in the
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| 36 | documentation and/or other materials provided with the distribution.
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| 37 |
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| 38 | Neither the name of the University of Colorado nor the names of its
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| 39 | contributors may be used to endorse or promote products derived from
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| 40 | this software without specific prior written permission.
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| 41 |
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| 42 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 43 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 44 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 45 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 46 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 47 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 48 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 49 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 50 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 51 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 52 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 53 | POSSIBILITY OF SUCH DAMAGE.]
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| 54 |
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| 55 | ******************************************************************************/
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| 56 |
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| 57 | #include "util.h"
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| 58 | #include "cuddInt.h"
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| 59 |
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| 60 | /*---------------------------------------------------------------------------*/
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| 61 | /* Constant declarations */
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| 62 | /*---------------------------------------------------------------------------*/
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| 63 |
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| 64 |
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| 65 | /*---------------------------------------------------------------------------*/
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| 66 | /* Stucture 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 | /* Type 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 | /* Variable declarations */
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| 77 | /*---------------------------------------------------------------------------*/
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| 78 |
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| 79 | #ifndef lint
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| 80 | static char rcsid[] DD_UNUSED = "$Id: cuddAddFind.c,v 1.8 2004/08/13 18:04:45 fabio Exp $";
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| 81 | #endif
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| 82 |
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| 83 |
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| 84 | /*---------------------------------------------------------------------------*/
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| 85 | /* Macro declarations */
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| 86 | /*---------------------------------------------------------------------------*/
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| 87 |
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| 88 | #ifdef __cplusplus
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| 89 | extern "C" {
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| 90 | #endif
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| 91 |
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| 92 | /**AutomaticStart*************************************************************/
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| 93 |
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| 94 | /*---------------------------------------------------------------------------*/
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| 95 | /* Static function prototypes */
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| 96 | /*---------------------------------------------------------------------------*/
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| 97 |
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| 98 | static DdNode * addDoIthBit (DdManager *dd, DdNode *f, DdNode *index);
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| 99 |
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| 100 | /**AutomaticEnd***************************************************************/
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| 101 |
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| 102 | #ifdef __cplusplus
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| 103 | }
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| 104 | #endif
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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 [Finds the maximum discriminant of f.]
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| 113 |
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| 114 | Description [Returns a pointer to a constant ADD.]
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| 115 |
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| 116 | SideEffects [None]
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| 117 |
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| 118 | ******************************************************************************/
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| 119 | DdNode *
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| 120 | Cudd_addFindMax(
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| 121 | DdManager * dd,
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| 122 | DdNode * f)
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| 123 | {
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| 124 | DdNode *t, *e, *res;
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| 125 |
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| 126 | statLine(dd);
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| 127 | if (cuddIsConstant(f)) {
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| 128 | return(f);
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| 129 | }
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| 130 |
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| 131 | res = cuddCacheLookup1(dd,Cudd_addFindMax,f);
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| 132 | if (res != NULL) {
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| 133 | return(res);
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| 134 | }
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| 135 |
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| 136 | t = Cudd_addFindMax(dd,cuddT(f));
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| 137 | if (t == DD_PLUS_INFINITY(dd)) return(t);
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| 138 |
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| 139 | e = Cudd_addFindMax(dd,cuddE(f));
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| 140 |
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| 141 | res = (cuddV(t) >= cuddV(e)) ? t : e;
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| 142 |
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| 143 | cuddCacheInsert1(dd,Cudd_addFindMax,f,res);
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| 144 |
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| 145 | return(res);
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| 146 |
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| 147 | } /* end of Cudd_addFindMax */
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| 148 |
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| 149 |
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| 150 | /**Function********************************************************************
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| 151 |
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| 152 | Synopsis [Finds the minimum discriminant of f.]
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| 153 |
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| 154 | Description [Returns a pointer to a constant ADD.]
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| 155 |
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| 156 | SideEffects [None]
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| 157 |
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| 158 | ******************************************************************************/
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| 159 | DdNode *
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| 160 | Cudd_addFindMin(
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| 161 | DdManager * dd,
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| 162 | DdNode * f)
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| 163 | {
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| 164 | DdNode *t, *e, *res;
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| 165 |
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| 166 | statLine(dd);
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| 167 | if (cuddIsConstant(f)) {
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| 168 | return(f);
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| 169 | }
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| 170 |
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| 171 | res = cuddCacheLookup1(dd,Cudd_addFindMin,f);
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| 172 | if (res != NULL) {
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| 173 | return(res);
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| 174 | }
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| 175 |
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| 176 | t = Cudd_addFindMin(dd,cuddT(f));
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| 177 | if (t == DD_MINUS_INFINITY(dd)) return(t);
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| 178 |
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| 179 | e = Cudd_addFindMin(dd,cuddE(f));
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| 180 |
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| 181 | res = (cuddV(t) <= cuddV(e)) ? t : e;
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| 182 |
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| 183 | cuddCacheInsert1(dd,Cudd_addFindMin,f,res);
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| 184 |
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| 185 | return(res);
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| 186 |
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| 187 | } /* end of Cudd_addFindMin */
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| 188 |
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| 189 |
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| 190 | /**Function********************************************************************
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| 191 |
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| 192 | Synopsis [Extracts the i-th bit from an ADD.]
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| 193 |
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| 194 | Description [Produces an ADD from another ADD by replacing all
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| 195 | discriminants whose i-th bit is equal to 1 with 1, and all other
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| 196 | discriminants with 0. The i-th bit refers to the integer
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| 197 | representation of the leaf value. If the value is has a fractional
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| 198 | part, it is ignored. Repeated calls to this procedure allow one to
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| 199 | transform an integer-valued ADD into an array of ADDs, one for each
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| 200 | bit of the leaf values. Returns a pointer to the resulting ADD if
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| 201 | successful; NULL otherwise.]
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| 202 |
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| 203 | SideEffects [None]
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| 204 |
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| 205 | SeeAlso [Cudd_addBddIthBit]
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| 206 |
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| 207 | ******************************************************************************/
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| 208 | DdNode *
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| 209 | Cudd_addIthBit(
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| 210 | DdManager * dd,
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| 211 | DdNode * f,
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| 212 | int bit)
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| 213 | {
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| 214 | DdNode *res;
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| 215 | DdNode *index;
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| 216 |
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| 217 | /* Use a constant node to remember the bit, so that we can use the
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| 218 | ** global cache.
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| 219 | */
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| 220 | index = cuddUniqueConst(dd,(CUDD_VALUE_TYPE) bit);
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| 221 | if (index == NULL) return(NULL);
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| 222 | cuddRef(index);
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| 223 |
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| 224 | do {
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| 225 | dd->reordered = 0;
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| 226 | res = addDoIthBit(dd, f, index);
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| 227 | } while (dd->reordered == 1);
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| 228 |
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| 229 | if (res == NULL) {
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| 230 | Cudd_RecursiveDeref(dd, index);
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| 231 | return(NULL);
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| 232 | }
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| 233 | cuddRef(res);
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| 234 | Cudd_RecursiveDeref(dd, index);
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| 235 | cuddDeref(res);
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| 236 | return(res);
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| 237 |
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| 238 | } /* end of Cudd_addIthBit */
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| 239 |
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| 240 |
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| 241 | /*---------------------------------------------------------------------------*/
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| 242 | /* Definition of internal functions */
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| 243 | /*---------------------------------------------------------------------------*/
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| 244 |
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| 245 |
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| 246 | /*---------------------------------------------------------------------------*/
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| 247 | /* Definition of static functions */
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| 248 | /*---------------------------------------------------------------------------*/
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| 249 |
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| 250 |
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| 251 | /**Function********************************************************************
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| 252 |
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| 253 | Synopsis [Performs the recursive step for Cudd_addIthBit.]
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| 254 |
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| 255 | Description [Performs the recursive step for Cudd_addIthBit.
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| 256 | Returns a pointer to the BDD if successful; NULL otherwise.]
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| 257 |
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| 258 | SideEffects [None]
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| 259 |
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| 260 | SeeAlso []
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| 261 |
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| 262 | ******************************************************************************/
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| 263 | static DdNode *
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| 264 | addDoIthBit(
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| 265 | DdManager * dd,
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| 266 | DdNode * f,
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| 267 | DdNode * index)
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| 268 | {
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| 269 | DdNode *res, *T, *E;
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| 270 | DdNode *fv, *fvn;
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| 271 | int mask, value;
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| 272 | int v;
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| 273 |
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| 274 | statLine(dd);
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| 275 | /* Check terminal case. */
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| 276 | if (cuddIsConstant(f)) {
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| 277 | mask = 1 << ((int) cuddV(index));
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| 278 | value = (int) cuddV(f);
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| 279 | return((value & mask) == 0 ? DD_ZERO(dd) : DD_ONE(dd));
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| 280 | }
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| 281 |
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| 282 | /* Check cache. */
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| 283 | res = cuddCacheLookup2(dd,addDoIthBit,f,index);
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| 284 | if (res != NULL) return(res);
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| 285 |
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| 286 | /* Recursive step. */
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| 287 | v = f->index;
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| 288 | fv = cuddT(f); fvn = cuddE(f);
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| 289 |
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| 290 | T = addDoIthBit(dd,fv,index);
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| 291 | if (T == NULL) return(NULL);
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| 292 | cuddRef(T);
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| 293 |
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| 294 | E = addDoIthBit(dd,fvn,index);
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| 295 | if (E == NULL) {
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| 296 | Cudd_RecursiveDeref(dd, T);
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| 297 | return(NULL);
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| 298 | }
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| 299 | cuddRef(E);
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| 300 |
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| 301 | res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
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| 302 | if (res == NULL) {
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| 303 | Cudd_RecursiveDeref(dd, T);
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| 304 | Cudd_RecursiveDeref(dd, E);
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| 305 | return(NULL);
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| 306 | }
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| 307 | cuddDeref(T);
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| 308 | cuddDeref(E);
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| 309 |
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| 310 | /* Store result. */
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| 311 | cuddCacheInsert2(dd,addDoIthBit,f,index,res);
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| 312 |
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| 313 | return(res);
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| 314 |
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| 315 | } /* end of addDoIthBit */
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| 316 |
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