[13] | 1 | /**CFile*********************************************************************** |
---|
| 2 | |
---|
| 3 | FileName [cuddAddFind.c] |
---|
| 4 | |
---|
| 5 | PackageName [cudd] |
---|
| 6 | |
---|
| 7 | Synopsis [Functions to find maximum and minimum in an ADD and to |
---|
| 8 | extract the i-th bit.] |
---|
| 9 | |
---|
| 10 | Description [External procedures included in this module: |
---|
| 11 | <ul> |
---|
| 12 | <li> Cudd_addFindMax() |
---|
| 13 | <li> Cudd_addFindMin() |
---|
| 14 | <li> Cudd_addIthBit() |
---|
| 15 | </ul> |
---|
| 16 | Static functions included in this module: |
---|
| 17 | <ul> |
---|
| 18 | <li> addDoIthBit() |
---|
| 19 | </ul>] |
---|
| 20 | |
---|
| 21 | Author [Fabio Somenzi] |
---|
| 22 | |
---|
| 23 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
---|
| 24 | |
---|
| 25 | All rights reserved. |
---|
| 26 | |
---|
| 27 | Redistribution and use in source and binary forms, with or without |
---|
| 28 | modification, are permitted provided that the following conditions |
---|
| 29 | are met: |
---|
| 30 | |
---|
| 31 | Redistributions of source code must retain the above copyright |
---|
| 32 | notice, this list of conditions and the following disclaimer. |
---|
| 33 | |
---|
| 34 | Redistributions in binary form must reproduce the above copyright |
---|
| 35 | notice, this list of conditions and the following disclaimer in the |
---|
| 36 | documentation and/or other materials provided with the distribution. |
---|
| 37 | |
---|
| 38 | Neither the name of the University of Colorado nor the names of its |
---|
| 39 | contributors may be used to endorse or promote products derived from |
---|
| 40 | this software without specific prior written permission. |
---|
| 41 | |
---|
| 42 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
---|
| 43 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
---|
| 44 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
---|
| 45 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
---|
| 46 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
---|
| 47 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
---|
| 48 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
---|
| 49 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
---|
| 50 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
---|
| 51 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
---|
| 52 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
---|
| 53 | POSSIBILITY OF SUCH DAMAGE.] |
---|
| 54 | |
---|
| 55 | ******************************************************************************/ |
---|
| 56 | |
---|
| 57 | #include "util.h" |
---|
| 58 | #include "cuddInt.h" |
---|
| 59 | |
---|
| 60 | /*---------------------------------------------------------------------------*/ |
---|
| 61 | /* Constant declarations */ |
---|
| 62 | /*---------------------------------------------------------------------------*/ |
---|
| 63 | |
---|
| 64 | |
---|
| 65 | /*---------------------------------------------------------------------------*/ |
---|
| 66 | /* Stucture declarations */ |
---|
| 67 | /*---------------------------------------------------------------------------*/ |
---|
| 68 | |
---|
| 69 | |
---|
| 70 | /*---------------------------------------------------------------------------*/ |
---|
| 71 | /* Type declarations */ |
---|
| 72 | /*---------------------------------------------------------------------------*/ |
---|
| 73 | |
---|
| 74 | |
---|
| 75 | /*---------------------------------------------------------------------------*/ |
---|
| 76 | /* Variable declarations */ |
---|
| 77 | /*---------------------------------------------------------------------------*/ |
---|
| 78 | |
---|
| 79 | #ifndef lint |
---|
| 80 | static char rcsid[] DD_UNUSED = "$Id: cuddAddFind.c,v 1.8 2004/08/13 18:04:45 fabio Exp $"; |
---|
| 81 | #endif |
---|
| 82 | |
---|
| 83 | |
---|
| 84 | /*---------------------------------------------------------------------------*/ |
---|
| 85 | /* Macro declarations */ |
---|
| 86 | /*---------------------------------------------------------------------------*/ |
---|
| 87 | |
---|
| 88 | #ifdef __cplusplus |
---|
| 89 | extern "C" { |
---|
| 90 | #endif |
---|
| 91 | |
---|
| 92 | /**AutomaticStart*************************************************************/ |
---|
| 93 | |
---|
| 94 | /*---------------------------------------------------------------------------*/ |
---|
| 95 | /* Static function prototypes */ |
---|
| 96 | /*---------------------------------------------------------------------------*/ |
---|
| 97 | |
---|
| 98 | static DdNode * addDoIthBit (DdManager *dd, DdNode *f, DdNode *index); |
---|
| 99 | |
---|
| 100 | /**AutomaticEnd***************************************************************/ |
---|
| 101 | |
---|
| 102 | #ifdef __cplusplus |
---|
| 103 | } |
---|
| 104 | #endif |
---|
| 105 | |
---|
| 106 | /*---------------------------------------------------------------------------*/ |
---|
| 107 | /* Definition of exported functions */ |
---|
| 108 | /*---------------------------------------------------------------------------*/ |
---|
| 109 | |
---|
| 110 | /**Function******************************************************************** |
---|
| 111 | |
---|
| 112 | Synopsis [Finds the maximum discriminant of f.] |
---|
| 113 | |
---|
| 114 | Description [Returns a pointer to a constant ADD.] |
---|
| 115 | |
---|
| 116 | SideEffects [None] |
---|
| 117 | |
---|
| 118 | ******************************************************************************/ |
---|
| 119 | DdNode * |
---|
| 120 | Cudd_addFindMax( |
---|
| 121 | DdManager * dd, |
---|
| 122 | DdNode * f) |
---|
| 123 | { |
---|
| 124 | DdNode *t, *e, *res; |
---|
| 125 | |
---|
| 126 | statLine(dd); |
---|
| 127 | if (cuddIsConstant(f)) { |
---|
| 128 | return(f); |
---|
| 129 | } |
---|
| 130 | |
---|
| 131 | res = cuddCacheLookup1(dd,Cudd_addFindMax,f); |
---|
| 132 | if (res != NULL) { |
---|
| 133 | return(res); |
---|
| 134 | } |
---|
| 135 | |
---|
| 136 | t = Cudd_addFindMax(dd,cuddT(f)); |
---|
| 137 | if (t == DD_PLUS_INFINITY(dd)) return(t); |
---|
| 138 | |
---|
| 139 | e = Cudd_addFindMax(dd,cuddE(f)); |
---|
| 140 | |
---|
| 141 | res = (cuddV(t) >= cuddV(e)) ? t : e; |
---|
| 142 | |
---|
| 143 | cuddCacheInsert1(dd,Cudd_addFindMax,f,res); |
---|
| 144 | |
---|
| 145 | return(res); |
---|
| 146 | |
---|
| 147 | } /* end of Cudd_addFindMax */ |
---|
| 148 | |
---|
| 149 | |
---|
| 150 | /**Function******************************************************************** |
---|
| 151 | |
---|
| 152 | Synopsis [Finds the minimum discriminant of f.] |
---|
| 153 | |
---|
| 154 | Description [Returns a pointer to a constant ADD.] |
---|
| 155 | |
---|
| 156 | SideEffects [None] |
---|
| 157 | |
---|
| 158 | ******************************************************************************/ |
---|
| 159 | DdNode * |
---|
| 160 | Cudd_addFindMin( |
---|
| 161 | DdManager * dd, |
---|
| 162 | DdNode * f) |
---|
| 163 | { |
---|
| 164 | DdNode *t, *e, *res; |
---|
| 165 | |
---|
| 166 | statLine(dd); |
---|
| 167 | if (cuddIsConstant(f)) { |
---|
| 168 | return(f); |
---|
| 169 | } |
---|
| 170 | |
---|
| 171 | res = cuddCacheLookup1(dd,Cudd_addFindMin,f); |
---|
| 172 | if (res != NULL) { |
---|
| 173 | return(res); |
---|
| 174 | } |
---|
| 175 | |
---|
| 176 | t = Cudd_addFindMin(dd,cuddT(f)); |
---|
| 177 | if (t == DD_MINUS_INFINITY(dd)) return(t); |
---|
| 178 | |
---|
| 179 | e = Cudd_addFindMin(dd,cuddE(f)); |
---|
| 180 | |
---|
| 181 | res = (cuddV(t) <= cuddV(e)) ? t : e; |
---|
| 182 | |
---|
| 183 | cuddCacheInsert1(dd,Cudd_addFindMin,f,res); |
---|
| 184 | |
---|
| 185 | return(res); |
---|
| 186 | |
---|
| 187 | } /* end of Cudd_addFindMin */ |
---|
| 188 | |
---|
| 189 | |
---|
| 190 | /**Function******************************************************************** |
---|
| 191 | |
---|
| 192 | Synopsis [Extracts the i-th bit from an ADD.] |
---|
| 193 | |
---|
| 194 | Description [Produces an ADD from another ADD by replacing all |
---|
| 195 | discriminants whose i-th bit is equal to 1 with 1, and all other |
---|
| 196 | discriminants with 0. The i-th bit refers to the integer |
---|
| 197 | representation of the leaf value. If the value is has a fractional |
---|
| 198 | part, it is ignored. Repeated calls to this procedure allow one to |
---|
| 199 | transform an integer-valued ADD into an array of ADDs, one for each |
---|
| 200 | bit of the leaf values. Returns a pointer to the resulting ADD if |
---|
| 201 | successful; NULL otherwise.] |
---|
| 202 | |
---|
| 203 | SideEffects [None] |
---|
| 204 | |
---|
| 205 | SeeAlso [Cudd_addBddIthBit] |
---|
| 206 | |
---|
| 207 | ******************************************************************************/ |
---|
| 208 | DdNode * |
---|
| 209 | Cudd_addIthBit( |
---|
| 210 | DdManager * dd, |
---|
| 211 | DdNode * f, |
---|
| 212 | int bit) |
---|
| 213 | { |
---|
| 214 | DdNode *res; |
---|
| 215 | DdNode *index; |
---|
| 216 | |
---|
| 217 | /* Use a constant node to remember the bit, so that we can use the |
---|
| 218 | ** global cache. |
---|
| 219 | */ |
---|
| 220 | index = cuddUniqueConst(dd,(CUDD_VALUE_TYPE) bit); |
---|
| 221 | if (index == NULL) return(NULL); |
---|
| 222 | cuddRef(index); |
---|
| 223 | |
---|
| 224 | do { |
---|
| 225 | dd->reordered = 0; |
---|
| 226 | res = addDoIthBit(dd, f, index); |
---|
| 227 | } while (dd->reordered == 1); |
---|
| 228 | |
---|
| 229 | if (res == NULL) { |
---|
| 230 | Cudd_RecursiveDeref(dd, index); |
---|
| 231 | return(NULL); |
---|
| 232 | } |
---|
| 233 | cuddRef(res); |
---|
| 234 | Cudd_RecursiveDeref(dd, index); |
---|
| 235 | cuddDeref(res); |
---|
| 236 | return(res); |
---|
| 237 | |
---|
| 238 | } /* end of Cudd_addIthBit */ |
---|
| 239 | |
---|
| 240 | |
---|
| 241 | /*---------------------------------------------------------------------------*/ |
---|
| 242 | /* Definition of internal functions */ |
---|
| 243 | /*---------------------------------------------------------------------------*/ |
---|
| 244 | |
---|
| 245 | |
---|
| 246 | /*---------------------------------------------------------------------------*/ |
---|
| 247 | /* Definition of static functions */ |
---|
| 248 | /*---------------------------------------------------------------------------*/ |
---|
| 249 | |
---|
| 250 | |
---|
| 251 | /**Function******************************************************************** |
---|
| 252 | |
---|
| 253 | Synopsis [Performs the recursive step for Cudd_addIthBit.] |
---|
| 254 | |
---|
| 255 | Description [Performs the recursive step for Cudd_addIthBit. |
---|
| 256 | Returns a pointer to the BDD if successful; NULL otherwise.] |
---|
| 257 | |
---|
| 258 | SideEffects [None] |
---|
| 259 | |
---|
| 260 | SeeAlso [] |
---|
| 261 | |
---|
| 262 | ******************************************************************************/ |
---|
| 263 | static DdNode * |
---|
| 264 | addDoIthBit( |
---|
| 265 | DdManager * dd, |
---|
| 266 | DdNode * f, |
---|
| 267 | DdNode * index) |
---|
| 268 | { |
---|
| 269 | DdNode *res, *T, *E; |
---|
| 270 | DdNode *fv, *fvn; |
---|
| 271 | int mask, value; |
---|
| 272 | int v; |
---|
| 273 | |
---|
| 274 | statLine(dd); |
---|
| 275 | /* Check terminal case. */ |
---|
| 276 | if (cuddIsConstant(f)) { |
---|
| 277 | mask = 1 << ((int) cuddV(index)); |
---|
| 278 | value = (int) cuddV(f); |
---|
| 279 | return((value & mask) == 0 ? DD_ZERO(dd) : DD_ONE(dd)); |
---|
| 280 | } |
---|
| 281 | |
---|
| 282 | /* Check cache. */ |
---|
| 283 | res = cuddCacheLookup2(dd,addDoIthBit,f,index); |
---|
| 284 | if (res != NULL) return(res); |
---|
| 285 | |
---|
| 286 | /* Recursive step. */ |
---|
| 287 | v = f->index; |
---|
| 288 | fv = cuddT(f); fvn = cuddE(f); |
---|
| 289 | |
---|
| 290 | T = addDoIthBit(dd,fv,index); |
---|
| 291 | if (T == NULL) return(NULL); |
---|
| 292 | cuddRef(T); |
---|
| 293 | |
---|
| 294 | E = addDoIthBit(dd,fvn,index); |
---|
| 295 | if (E == NULL) { |
---|
| 296 | Cudd_RecursiveDeref(dd, T); |
---|
| 297 | return(NULL); |
---|
| 298 | } |
---|
| 299 | cuddRef(E); |
---|
| 300 | |
---|
| 301 | res = (T == E) ? T : cuddUniqueInter(dd,v,T,E); |
---|
| 302 | if (res == NULL) { |
---|
| 303 | Cudd_RecursiveDeref(dd, T); |
---|
| 304 | Cudd_RecursiveDeref(dd, E); |
---|
| 305 | return(NULL); |
---|
| 306 | } |
---|
| 307 | cuddDeref(T); |
---|
| 308 | cuddDeref(E); |
---|
| 309 | |
---|
| 310 | /* Store result. */ |
---|
| 311 | cuddCacheInsert2(dd,addDoIthBit,f,index,res); |
---|
| 312 | |
---|
| 313 | return(res); |
---|
| 314 | |
---|
| 315 | } /* end of addDoIthBit */ |
---|
| 316 | |
---|