1 | /**CFile*********************************************************************** |
---|
2 | |
---|
3 | FileName [cuddCof.c] |
---|
4 | |
---|
5 | PackageName [cudd] |
---|
6 | |
---|
7 | Synopsis [Cofactoring functions.] |
---|
8 | |
---|
9 | Description [External procedures included in this module: |
---|
10 | <ul> |
---|
11 | <li> Cudd_Cofactor() |
---|
12 | </ul> |
---|
13 | Internal procedures included in this module: |
---|
14 | <ul> |
---|
15 | <li> cuddGetBranches() |
---|
16 | <li> cuddCheckCube() |
---|
17 | <li> cuddCofactorRecur() |
---|
18 | </ul> |
---|
19 | ] |
---|
20 | |
---|
21 | SeeAlso [] |
---|
22 | |
---|
23 | Author [Fabio Somenzi] |
---|
24 | |
---|
25 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
---|
26 | |
---|
27 | All rights reserved. |
---|
28 | |
---|
29 | Redistribution and use in source and binary forms, with or without |
---|
30 | modification, are permitted provided that the following conditions |
---|
31 | are met: |
---|
32 | |
---|
33 | Redistributions of source code must retain the above copyright |
---|
34 | notice, this list of conditions and the following disclaimer. |
---|
35 | |
---|
36 | Redistributions in binary form must reproduce the above copyright |
---|
37 | notice, this list of conditions and the following disclaimer in the |
---|
38 | documentation and/or other materials provided with the distribution. |
---|
39 | |
---|
40 | Neither the name of the University of Colorado nor the names of its |
---|
41 | contributors may be used to endorse or promote products derived from |
---|
42 | this software without specific prior written permission. |
---|
43 | |
---|
44 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
---|
45 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
---|
46 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
---|
47 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
---|
48 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
---|
49 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
---|
50 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
---|
51 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
---|
52 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
---|
53 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
---|
54 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
---|
55 | POSSIBILITY OF SUCH DAMAGE.] |
---|
56 | |
---|
57 | ******************************************************************************/ |
---|
58 | |
---|
59 | #include "util.h" |
---|
60 | #include "cuddInt.h" |
---|
61 | |
---|
62 | /*---------------------------------------------------------------------------*/ |
---|
63 | /* Constant declarations */ |
---|
64 | /*---------------------------------------------------------------------------*/ |
---|
65 | |
---|
66 | |
---|
67 | /*---------------------------------------------------------------------------*/ |
---|
68 | /* Stucture declarations */ |
---|
69 | /*---------------------------------------------------------------------------*/ |
---|
70 | |
---|
71 | |
---|
72 | /*---------------------------------------------------------------------------*/ |
---|
73 | /* Type declarations */ |
---|
74 | /*---------------------------------------------------------------------------*/ |
---|
75 | |
---|
76 | |
---|
77 | /*---------------------------------------------------------------------------*/ |
---|
78 | /* Variable declarations */ |
---|
79 | /*---------------------------------------------------------------------------*/ |
---|
80 | |
---|
81 | #ifndef lint |
---|
82 | static char rcsid[] DD_UNUSED = "$Id: cuddCof.c,v 1.9 2004/08/13 18:04:47 fabio Exp $"; |
---|
83 | #endif |
---|
84 | |
---|
85 | /*---------------------------------------------------------------------------*/ |
---|
86 | /* Macro declarations */ |
---|
87 | /*---------------------------------------------------------------------------*/ |
---|
88 | |
---|
89 | |
---|
90 | /**AutomaticStart*************************************************************/ |
---|
91 | |
---|
92 | /*---------------------------------------------------------------------------*/ |
---|
93 | /* Static function prototypes */ |
---|
94 | /*---------------------------------------------------------------------------*/ |
---|
95 | |
---|
96 | |
---|
97 | /**AutomaticEnd***************************************************************/ |
---|
98 | |
---|
99 | |
---|
100 | /*---------------------------------------------------------------------------*/ |
---|
101 | /* Definition of exported functions */ |
---|
102 | /*---------------------------------------------------------------------------*/ |
---|
103 | |
---|
104 | |
---|
105 | /**Function******************************************************************** |
---|
106 | |
---|
107 | Synopsis [Computes the cofactor of f with respect to g.] |
---|
108 | |
---|
109 | Description [Computes the cofactor of f with respect to g; g must be |
---|
110 | the BDD or the ADD of a cube. Returns a pointer to the cofactor if |
---|
111 | successful; NULL otherwise.] |
---|
112 | |
---|
113 | SideEffects [None] |
---|
114 | |
---|
115 | SeeAlso [Cudd_bddConstrain Cudd_bddRestrict] |
---|
116 | |
---|
117 | ******************************************************************************/ |
---|
118 | DdNode * |
---|
119 | Cudd_Cofactor( |
---|
120 | DdManager * dd, |
---|
121 | DdNode * f, |
---|
122 | DdNode * g) |
---|
123 | { |
---|
124 | DdNode *res,*zero; |
---|
125 | |
---|
126 | zero = Cudd_Not(DD_ONE(dd)); |
---|
127 | if (g == zero || g == DD_ZERO(dd)) { |
---|
128 | (void) fprintf(dd->err,"Cudd_Cofactor: Invalid restriction 1\n"); |
---|
129 | dd->errorCode = CUDD_INVALID_ARG; |
---|
130 | return(NULL); |
---|
131 | } |
---|
132 | do { |
---|
133 | dd->reordered = 0; |
---|
134 | res = cuddCofactorRecur(dd,f,g); |
---|
135 | } while (dd->reordered == 1); |
---|
136 | return(res); |
---|
137 | |
---|
138 | } /* end of Cudd_Cofactor */ |
---|
139 | |
---|
140 | |
---|
141 | /*---------------------------------------------------------------------------*/ |
---|
142 | /* Definition of internal functions */ |
---|
143 | /*---------------------------------------------------------------------------*/ |
---|
144 | |
---|
145 | |
---|
146 | /**Function******************************************************************** |
---|
147 | |
---|
148 | Synopsis [Computes the children of g.] |
---|
149 | |
---|
150 | Description [] |
---|
151 | |
---|
152 | SideEffects [None] |
---|
153 | |
---|
154 | SeeAlso [] |
---|
155 | |
---|
156 | ******************************************************************************/ |
---|
157 | void |
---|
158 | cuddGetBranches( |
---|
159 | DdNode * g, |
---|
160 | DdNode ** g1, |
---|
161 | DdNode ** g0) |
---|
162 | { |
---|
163 | DdNode *G = Cudd_Regular(g); |
---|
164 | |
---|
165 | *g1 = cuddT(G); |
---|
166 | *g0 = cuddE(G); |
---|
167 | if (Cudd_IsComplement(g)) { |
---|
168 | *g1 = Cudd_Not(*g1); |
---|
169 | *g0 = Cudd_Not(*g0); |
---|
170 | } |
---|
171 | |
---|
172 | } /* end of cuddGetBranches */ |
---|
173 | |
---|
174 | |
---|
175 | /**Function******************************************************************** |
---|
176 | |
---|
177 | Synopsis [Checks whether g is the BDD of a cube.] |
---|
178 | |
---|
179 | Description [Checks whether g is the BDD of a cube. Returns 1 in case |
---|
180 | of success; 0 otherwise. The constant 1 is a valid cube, but all other |
---|
181 | constant functions cause cuddCheckCube to return 0.] |
---|
182 | |
---|
183 | SideEffects [None] |
---|
184 | |
---|
185 | SeeAlso [] |
---|
186 | |
---|
187 | ******************************************************************************/ |
---|
188 | int |
---|
189 | cuddCheckCube( |
---|
190 | DdManager * dd, |
---|
191 | DdNode * g) |
---|
192 | { |
---|
193 | DdNode *g1,*g0,*one,*zero; |
---|
194 | |
---|
195 | one = DD_ONE(dd); |
---|
196 | if (g == one) return(1); |
---|
197 | if (Cudd_IsConstant(g)) return(0); |
---|
198 | |
---|
199 | zero = Cudd_Not(one); |
---|
200 | cuddGetBranches(g,&g1,&g0); |
---|
201 | |
---|
202 | if (g0 == zero) { |
---|
203 | return(cuddCheckCube(dd, g1)); |
---|
204 | } |
---|
205 | if (g1 == zero) { |
---|
206 | return(cuddCheckCube(dd, g0)); |
---|
207 | } |
---|
208 | return(0); |
---|
209 | |
---|
210 | } /* end of cuddCheckCube */ |
---|
211 | |
---|
212 | |
---|
213 | /**Function******************************************************************** |
---|
214 | |
---|
215 | Synopsis [Performs the recursive step of Cudd_Cofactor.] |
---|
216 | |
---|
217 | Description [Performs the recursive step of Cudd_Cofactor. Returns a |
---|
218 | pointer to the cofactor if successful; NULL otherwise.] |
---|
219 | |
---|
220 | SideEffects [None] |
---|
221 | |
---|
222 | SeeAlso [Cudd_Cofactor] |
---|
223 | |
---|
224 | ******************************************************************************/ |
---|
225 | DdNode * |
---|
226 | cuddCofactorRecur( |
---|
227 | DdManager * dd, |
---|
228 | DdNode * f, |
---|
229 | DdNode * g) |
---|
230 | { |
---|
231 | DdNode *one,*zero,*F,*G,*g1,*g0,*f1,*f0,*t,*e,*r; |
---|
232 | unsigned int topf,topg; |
---|
233 | int comple; |
---|
234 | |
---|
235 | statLine(dd); |
---|
236 | F = Cudd_Regular(f); |
---|
237 | if (cuddIsConstant(F)) return(f); |
---|
238 | |
---|
239 | one = DD_ONE(dd); |
---|
240 | |
---|
241 | /* The invariant g != 0 is true on entry to this procedure and is |
---|
242 | ** recursively maintained by it. Therefore it suffices to test g |
---|
243 | ** against one to make sure it is not constant. |
---|
244 | */ |
---|
245 | if (g == one) return(f); |
---|
246 | /* From now on, f and g are known not to be constants. */ |
---|
247 | |
---|
248 | comple = f != F; |
---|
249 | r = cuddCacheLookup2(dd,Cudd_Cofactor,F,g); |
---|
250 | if (r != NULL) { |
---|
251 | return(Cudd_NotCond(r,comple)); |
---|
252 | } |
---|
253 | |
---|
254 | topf = dd->perm[F->index]; |
---|
255 | G = Cudd_Regular(g); |
---|
256 | topg = dd->perm[G->index]; |
---|
257 | |
---|
258 | /* We take the cofactors of F because we are going to rely on |
---|
259 | ** the fact that the cofactors of the complement are the complements |
---|
260 | ** of the cofactors to better utilize the cache. Variable comple |
---|
261 | ** remembers whether we have to complement the result or not. |
---|
262 | */ |
---|
263 | if (topf <= topg) { |
---|
264 | f1 = cuddT(F); f0 = cuddE(F); |
---|
265 | } else { |
---|
266 | f1 = f0 = F; |
---|
267 | } |
---|
268 | if (topg <= topf) { |
---|
269 | g1 = cuddT(G); g0 = cuddE(G); |
---|
270 | if (g != G) { g1 = Cudd_Not(g1); g0 = Cudd_Not(g0); } |
---|
271 | } else { |
---|
272 | g1 = g0 = g; |
---|
273 | } |
---|
274 | |
---|
275 | zero = Cudd_Not(one); |
---|
276 | if (topf >= topg) { |
---|
277 | if (g0 == zero || g0 == DD_ZERO(dd)) { |
---|
278 | r = cuddCofactorRecur(dd, f1, g1); |
---|
279 | } else if (g1 == zero || g1 == DD_ZERO(dd)) { |
---|
280 | r = cuddCofactorRecur(dd, f0, g0); |
---|
281 | } else { |
---|
282 | (void) fprintf(dd->out, |
---|
283 | "Cudd_Cofactor: Invalid restriction 2\n"); |
---|
284 | dd->errorCode = CUDD_INVALID_ARG; |
---|
285 | return(NULL); |
---|
286 | } |
---|
287 | if (r == NULL) return(NULL); |
---|
288 | } else /* if (topf < topg) */ { |
---|
289 | t = cuddCofactorRecur(dd, f1, g); |
---|
290 | if (t == NULL) return(NULL); |
---|
291 | cuddRef(t); |
---|
292 | e = cuddCofactorRecur(dd, f0, g); |
---|
293 | if (e == NULL) { |
---|
294 | Cudd_RecursiveDeref(dd, t); |
---|
295 | return(NULL); |
---|
296 | } |
---|
297 | cuddRef(e); |
---|
298 | |
---|
299 | if (t == e) { |
---|
300 | r = t; |
---|
301 | } else if (Cudd_IsComplement(t)) { |
---|
302 | r = cuddUniqueInter(dd,(int)F->index,Cudd_Not(t),Cudd_Not(e)); |
---|
303 | if (r != NULL) |
---|
304 | r = Cudd_Not(r); |
---|
305 | } else { |
---|
306 | r = cuddUniqueInter(dd,(int)F->index,t,e); |
---|
307 | } |
---|
308 | if (r == NULL) { |
---|
309 | Cudd_RecursiveDeref(dd ,e); |
---|
310 | Cudd_RecursiveDeref(dd ,t); |
---|
311 | return(NULL); |
---|
312 | } |
---|
313 | cuddDeref(t); |
---|
314 | cuddDeref(e); |
---|
315 | } |
---|
316 | |
---|
317 | cuddCacheInsert2(dd,Cudd_Cofactor,F,g,r); |
---|
318 | |
---|
319 | return(Cudd_NotCond(r,comple)); |
---|
320 | |
---|
321 | } /* end of cuddCofactorRecur */ |
---|
322 | |
---|
323 | |
---|
324 | /*---------------------------------------------------------------------------*/ |
---|
325 | /* Definition of static functions */ |
---|
326 | /*---------------------------------------------------------------------------*/ |
---|
327 | |
---|