[8] | 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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