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							327 lines
						
					
					
						
							9.5 KiB
						
					
					
				| /**CFile*********************************************************************** | |
|  | |
|   FileName    [cuddCof.c] | |
|  | |
|   PackageName [cudd] | |
|  | |
|   Synopsis    [Cofactoring functions.] | |
|  | |
|   Description [External procedures included in this module: | |
| 		<ul> | |
| 		<li> Cudd_Cofactor() | |
| 		<li> Cudd_CheckCube() | |
| 		</ul> | |
| 	       Internal procedures included in this module: | |
| 		<ul> | |
| 		<li> cuddGetBranches() | |
| 		<li> cuddCofactorRecur() | |
| 		</ul> | |
| 	      ] | |
|  | |
|   SeeAlso     [] | |
|  | |
|   Author      [Fabio Somenzi] | |
|  | |
|   Copyright   [Copyright (c) 1995-2012, Regents of the University of Colorado | |
|  | |
|   All rights reserved. | |
|  | |
|   Redistribution and use in source and binary forms, with or without | |
|   modification, are permitted provided that the following conditions | |
|   are met: | |
|  | |
|   Redistributions of source code must retain the above copyright | |
|   notice, this list of conditions and the following disclaimer. | |
|  | |
|   Redistributions in binary form must reproduce the above copyright | |
|   notice, this list of conditions and the following disclaimer in the | |
|   documentation and/or other materials provided with the distribution. | |
|  | |
|   Neither the name of the University of Colorado nor the names of its | |
|   contributors may be used to endorse or promote products derived from | |
|   this software without specific prior written permission. | |
|  | |
|   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
|   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
|   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | |
|   FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE | |
|   COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | |
|   INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | |
|   BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
|   LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | |
|   CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | |
|   LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | |
|   ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | |
|   POSSIBILITY OF SUCH DAMAGE.] | |
|  | |
| ******************************************************************************/ | |
| 
 | |
| #include "util.h" | |
| #include "cuddInt.h" | |
|  | |
| /*---------------------------------------------------------------------------*/ | |
| /* Constant declarations                                                     */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Stucture declarations                                                     */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Type declarations                                                         */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Variable declarations                                                     */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| #ifndef lint | |
| static char rcsid[] DD_UNUSED = "$Id: cuddCof.c,v 1.11 2012/02/05 01:07:18 fabio Exp $"; | |
| #endif | |
|  | |
| /*---------------------------------------------------------------------------*/ | |
| /* Macro declarations                                                        */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /**AutomaticStart*************************************************************/ | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Static function prototypes                                                */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /**AutomaticEnd***************************************************************/ | |
| 
 | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Definition of exported functions                                          */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /**Function******************************************************************** | |
|  | |
|   Synopsis    [Computes the cofactor of f with respect to g.] | |
|  | |
|   Description [Computes the cofactor of f with respect to g; g must be | |
|   the BDD or the ADD of a cube. Returns a pointer to the cofactor if | |
|   successful; NULL otherwise.] | |
|  | |
|   SideEffects [None] | |
|  | |
|   SeeAlso     [Cudd_bddConstrain Cudd_bddRestrict] | |
|  | |
| ******************************************************************************/ | |
| DdNode * | |
| Cudd_Cofactor( | |
|   DdManager * dd, | |
|   DdNode * f, | |
|   DdNode * g) | |
| { | |
|     DdNode *res,*zero; | |
| 
 | |
|     zero = Cudd_Not(DD_ONE(dd)); | |
|     if (g == zero || g == DD_ZERO(dd)) { | |
| 	(void) fprintf(dd->err,"Cudd_Cofactor: Invalid restriction 1\n"); | |
| 	dd->errorCode = CUDD_INVALID_ARG; | |
| 	return(NULL); | |
|     } | |
|     do { | |
| 	dd->reordered = 0; | |
| 	res = cuddCofactorRecur(dd,f,g); | |
|     } while (dd->reordered == 1); | |
|     return(res); | |
| 
 | |
| } /* end of Cudd_Cofactor */ | |
| 
 | |
| 
 | |
| /**Function******************************************************************** | |
|  | |
|   Synopsis    [Checks whether g is the BDD of a cube.] | |
|  | |
|   Description [Checks whether g is the BDD of a cube. Returns 1 in case | |
|   of success; 0 otherwise. The constant 1 is a valid cube, but all other | |
|   constant functions cause cuddCheckCube to return 0.] | |
|  | |
|   SideEffects [None] | |
|  | |
|   SeeAlso     [] | |
|  | |
| ******************************************************************************/ | |
| int | |
| Cudd_CheckCube( | |
|   DdManager * dd, | |
|   DdNode * g) | |
| { | |
|     DdNode *g1,*g0,*one,*zero; | |
|      | |
|     one = DD_ONE(dd); | |
|     if (g == one) return(1); | |
|     if (Cudd_IsConstant(g)) return(0); | |
| 
 | |
|     zero = Cudd_Not(one); | |
|     cuddGetBranches(g,&g1,&g0); | |
| 
 | |
|     if (g0 == zero) { | |
|         return(Cudd_CheckCube(dd, g1)); | |
|     } | |
|     if (g1 == zero) { | |
|         return(Cudd_CheckCube(dd, g0)); | |
|     } | |
|     return(0); | |
| 
 | |
| } /* end of Cudd_CheckCube */ | |
| 
 | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Definition of internal functions                                          */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 | |
| 
 | |
| /**Function******************************************************************** | |
|  | |
|   Synopsis    [Computes the children of g.] | |
|  | |
|   Description [] | |
|  | |
|   SideEffects [None] | |
|  | |
|   SeeAlso     [] | |
|  | |
| ******************************************************************************/ | |
| void | |
| cuddGetBranches( | |
|   DdNode * g, | |
|   DdNode ** g1, | |
|   DdNode ** g0) | |
| { | |
|     DdNode	*G = Cudd_Regular(g); | |
| 
 | |
|     *g1 = cuddT(G); | |
|     *g0 = cuddE(G); | |
|     if (Cudd_IsComplement(g)) { | |
| 	*g1 = Cudd_Not(*g1); | |
| 	*g0 = Cudd_Not(*g0); | |
|     } | |
| 
 | |
| } /* end of cuddGetBranches */ | |
| 
 | |
| 
 | |
| /**Function******************************************************************** | |
|  | |
|   Synopsis    [Performs the recursive step of Cudd_Cofactor.] | |
|  | |
|   Description [Performs the recursive step of Cudd_Cofactor. Returns a | |
|   pointer to the cofactor if successful; NULL otherwise.] | |
|  | |
|   SideEffects [None] | |
|  | |
|   SeeAlso     [Cudd_Cofactor] | |
|  | |
| ******************************************************************************/ | |
| DdNode * | |
| cuddCofactorRecur( | |
|   DdManager * dd, | |
|   DdNode * f, | |
|   DdNode * g) | |
| { | |
|     DdNode *one,*zero,*F,*G,*g1,*g0,*f1,*f0,*t,*e,*r; | |
|     unsigned int topf,topg; | |
|     int comple; | |
| 
 | |
|     statLine(dd); | |
|     F = Cudd_Regular(f); | |
|     if (cuddIsConstant(F)) return(f); | |
| 
 | |
|     one = DD_ONE(dd); | |
| 
 | |
|     /* The invariant g != 0 is true on entry to this procedure and is | |
|     ** recursively maintained by it. Therefore it suffices to test g | |
|     ** against one to make sure it is not constant. | |
|     */ | |
|     if (g == one) return(f); | |
|     /* From now on, f and g are known not to be constants. */ | |
| 
 | |
|     comple = f != F; | |
|     r = cuddCacheLookup2(dd,Cudd_Cofactor,F,g); | |
|     if (r != NULL) { | |
| 	return(Cudd_NotCond(r,comple)); | |
|     } | |
| 
 | |
|     topf = dd->perm[F->index]; | |
|     G = Cudd_Regular(g); | |
|     topg = dd->perm[G->index]; | |
| 
 | |
|     /* We take the cofactors of F because we are going to rely on | |
|     ** the fact that the cofactors of the complement are the complements | |
|     ** of the cofactors to better utilize the cache. Variable comple | |
|     ** remembers whether we have to complement the result or not. | |
|     */ | |
|     if (topf <= topg) { | |
| 	f1 = cuddT(F); f0 = cuddE(F); | |
|     } else { | |
| 	f1 = f0 = F; | |
|     } | |
|     if (topg <= topf) { | |
| 	g1 = cuddT(G); g0 = cuddE(G); | |
| 	if (g != G) { g1 = Cudd_Not(g1); g0 = Cudd_Not(g0); } | |
|     } else { | |
| 	g1 = g0 = g; | |
|     } | |
| 
 | |
|     zero = Cudd_Not(one); | |
|     if (topf >= topg) { | |
| 	if (g0 == zero || g0 == DD_ZERO(dd)) { | |
| 	    r = cuddCofactorRecur(dd, f1, g1); | |
| 	} else if (g1 == zero || g1 == DD_ZERO(dd)) { | |
| 	    r = cuddCofactorRecur(dd, f0, g0); | |
| 	} else { | |
| 	    (void) fprintf(dd->out, | |
| 			   "Cudd_Cofactor: Invalid restriction 2\n"); | |
| 	    dd->errorCode = CUDD_INVALID_ARG; | |
| 	    return(NULL); | |
| 	} | |
| 	if (r == NULL) return(NULL); | |
|     } else /* if (topf < topg) */ { | |
| 	t = cuddCofactorRecur(dd, f1, g); | |
| 	if (t == NULL) return(NULL); | |
|     	cuddRef(t); | |
|     	e = cuddCofactorRecur(dd, f0, g); | |
| 	if (e == NULL) { | |
| 	    Cudd_RecursiveDeref(dd, t); | |
| 	    return(NULL); | |
| 	} | |
| 	cuddRef(e); | |
| 
 | |
| 	if (t == e) { | |
| 	    r = t; | |
| 	} else if (Cudd_IsComplement(t)) { | |
| 	    r = cuddUniqueInter(dd,(int)F->index,Cudd_Not(t),Cudd_Not(e)); | |
| 	    if (r != NULL) | |
| 		r = Cudd_Not(r); | |
| 	} else { | |
| 	    r = cuddUniqueInter(dd,(int)F->index,t,e); | |
| 	} | |
| 	if (r == NULL) { | |
| 	    Cudd_RecursiveDeref(dd ,e); | |
| 	    Cudd_RecursiveDeref(dd ,t); | |
| 	    return(NULL); | |
| 	} | |
| 	cuddDeref(t); | |
| 	cuddDeref(e); | |
|     } | |
| 
 | |
|     cuddCacheInsert2(dd,Cudd_Cofactor,F,g,r); | |
| 
 | |
|     return(Cudd_NotCond(r,comple)); | |
| 
 | |
| } /* end of cuddCofactorRecur */ | |
| 
 | |
| 
 | |
| /*---------------------------------------------------------------------------*/ | |
| /* Definition of static functions                                            */ | |
| /*---------------------------------------------------------------------------*/ | |
| 
 |