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+/**CFile***********************************************************************
+
+ FileName [cuddAddAbs.c]
+
+ PackageName [cudd]
+
+ Synopsis [Quantification functions for ADDs.]
+
+ Description [External procedures included in this module:
+ <ul>
+ <li> Cudd_addExistAbstract()
+ <li> Cudd_addUnivAbstract()
+ <li> Cudd_addOrAbstract()
+ </ul>
+ Internal procedures included in this module:
+ <ul>
+ <li> cuddAddExistAbstractRecur()
+ <li> cuddAddUnivAbstractRecur()
+ <li> cuddAddOrAbstractRecur()
+ </ul>
+ Static procedures included in this module:
+ <ul>
+ <li> addCheckPositiveCube()
+ </ul>]
+
+ Author [Fabio Somenzi]
+
+ Copyright [This file was created at the University of Colorado at
+ Boulder. The University of Colorado at Boulder makes no warranty
+ about the suitability of this software for any purpose. It is
+ presented on an AS IS basis.]
+
+******************************************************************************/
+
+#include "util_hack.h"
+#include "cuddInt.h"
+
+/*---------------------------------------------------------------------------*/
+/* Constant declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/*---------------------------------------------------------------------------*/
+/* Stucture declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/*---------------------------------------------------------------------------*/
+/* Type declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/*---------------------------------------------------------------------------*/
+/* Variable declarations */
+/*---------------------------------------------------------------------------*/
+
+#ifndef lint
+static char rcsid[] DD_UNUSED = "$Id: cuddAddAbs.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
+#endif
+
+static DdNode *two;
+
+/*---------------------------------------------------------------------------*/
+/* Macro declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/**AutomaticStart*************************************************************/
+
+/*---------------------------------------------------------------------------*/
+/* Static function prototypes */
+/*---------------------------------------------------------------------------*/
+
+static int addCheckPositiveCube ARGS((DdManager *manager, DdNode *cube));
+
+/**AutomaticEnd***************************************************************/
+
+
+/*---------------------------------------------------------------------------*/
+/* Definition of exported functions */
+/*---------------------------------------------------------------------------*/
+
+/**Function********************************************************************
+
+ Synopsis [Existentially Abstracts all the variables in cube from f.]
+
+ Description [Abstracts all the variables in cube from f by summing
+ over all possible values taken by the variables. Returns the
+ abstracted ADD.]
+
+ SideEffects [None]
+
+ SeeAlso [Cudd_addUnivAbstract Cudd_bddExistAbstract
+ Cudd_addOrAbstract]
+
+******************************************************************************/
+DdNode *
+Cudd_addExistAbstract(
+ DdManager * manager,
+ DdNode * f,
+ DdNode * cube)
+{
+ DdNode *res;
+
+ two = cuddUniqueConst(manager,(CUDD_VALUE_TYPE) 2);
+ if (two == NULL) return(NULL);
+ cuddRef(two);
+
+ if (addCheckPositiveCube(manager, cube) == 0) {
+ (void) fprintf(manager->err,"Error: Can only abstract cubes");
+ return(NULL);
+ }
+
+ do {
+ manager->reordered = 0;
+ res = cuddAddExistAbstractRecur(manager, f, cube);
+ } while (manager->reordered == 1);
+
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,two);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,two);
+ cuddDeref(res);
+
+ return(res);
+
+} /* end of Cudd_addExistAbstract */
+
+
+/**Function********************************************************************
+
+ Synopsis [Universally Abstracts all the variables in cube from f.]
+
+ Description [Abstracts all the variables in cube from f by taking
+ the product over all possible values taken by the variable. Returns
+ the abstracted ADD if successful; NULL otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso [Cudd_addExistAbstract Cudd_bddUnivAbstract
+ Cudd_addOrAbstract]
+
+******************************************************************************/
+DdNode *
+Cudd_addUnivAbstract(
+ DdManager * manager,
+ DdNode * f,
+ DdNode * cube)
+{
+ DdNode *res;
+
+ if (addCheckPositiveCube(manager, cube) == 0) {
+ (void) fprintf(manager->err,"Error: Can only abstract cubes");
+ return(NULL);
+ }
+
+ do {
+ manager->reordered = 0;
+ res = cuddAddUnivAbstractRecur(manager, f, cube);
+ } while (manager->reordered == 1);
+
+ return(res);
+
+} /* end of Cudd_addUnivAbstract */
+
+
+/**Function********************************************************************
+
+ Synopsis [Disjunctively abstracts all the variables in cube from the
+ 0-1 ADD f.]
+
+ Description [Abstracts all the variables in cube from the 0-1 ADD f
+ by taking the disjunction over all possible values taken by the
+ variables. Returns the abstracted ADD if successful; NULL
+ otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso [Cudd_addUnivAbstract Cudd_addExistAbstract]
+
+******************************************************************************/
+DdNode *
+Cudd_addOrAbstract(
+ DdManager * manager,
+ DdNode * f,
+ DdNode * cube)
+{
+ DdNode *res;
+
+ if (addCheckPositiveCube(manager, cube) == 0) {
+ (void) fprintf(manager->err,"Error: Can only abstract cubes");
+ return(NULL);
+ }
+
+ do {
+ manager->reordered = 0;
+ res = cuddAddOrAbstractRecur(manager, f, cube);
+ } while (manager->reordered == 1);
+ return(res);
+
+} /* end of Cudd_addOrAbstract */
+
+
+/*---------------------------------------------------------------------------*/
+/* Definition of internal functions */
+/*---------------------------------------------------------------------------*/
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs the recursive step of Cudd_addExistAbstract.]
+
+ Description [Performs the recursive step of Cudd_addExistAbstract.
+ Returns the ADD obtained by abstracting the variables of cube from f,
+ if successful; NULL otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+DdNode *
+cuddAddExistAbstractRecur(
+ DdManager * manager,
+ DdNode * f,
+ DdNode * cube)
+{
+ DdNode *T, *E, *res, *res1, *res2, *zero;
+
+ statLine(manager);
+ zero = DD_ZERO(manager);
+
+ /* Cube is guaranteed to be a cube at this point. */
+ if (f == zero || cuddIsConstant(cube)) {
+ return(f);
+ }
+
+ /* Abstract a variable that does not appear in f => multiply by 2. */
+ if (cuddI(manager,f->index) > cuddI(manager,cube->index)) {
+ res1 = cuddAddExistAbstractRecur(manager, f, cuddT(cube));
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ /* Use the "internal" procedure to be alerted in case of
+ ** dynamic reordering. If dynamic reordering occurs, we
+ ** have to abort the entire abstraction.
+ */
+ res = cuddAddApplyRecur(manager,Cudd_addTimes,res1,two);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,res1);
+ cuddDeref(res);
+ return(res);
+ }
+
+ if ((res = cuddCacheLookup2(manager, Cudd_addExistAbstract, f, cube)) != NULL) {
+ return(res);
+ }
+
+ T = cuddT(f);
+ E = cuddE(f);
+
+ /* If the two indices are the same, so are their levels. */
+ if (f->index == cube->index) {
+ res1 = cuddAddExistAbstractRecur(manager, T, cuddT(cube));
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ res2 = cuddAddExistAbstractRecur(manager, E, cuddT(cube));
+ if (res2 == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res2);
+ res = cuddAddApplyRecur(manager, Cudd_addPlus, res1, res2);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ cuddCacheInsert2(manager, Cudd_addExistAbstract, f, cube, res);
+ cuddDeref(res);
+ return(res);
+ } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */
+ res1 = cuddAddExistAbstractRecur(manager, T, cube);
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ res2 = cuddAddExistAbstractRecur(manager, E, cube);
+ if (res2 == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res2);
+ res = (res1 == res2) ? res1 :
+ cuddUniqueInter(manager, (int) f->index, res1, res2);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ return(NULL);
+ }
+ cuddDeref(res1);
+ cuddDeref(res2);
+ cuddCacheInsert2(manager, Cudd_addExistAbstract, f, cube, res);
+ return(res);
+ }
+
+} /* end of cuddAddExistAbstractRecur */
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs the recursive step of Cudd_addUnivAbstract.]
+
+ Description [Performs the recursive step of Cudd_addUnivAbstract.
+ Returns the ADD obtained by abstracting the variables of cube from f,
+ if successful; NULL otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+DdNode *
+cuddAddUnivAbstractRecur(
+ DdManager * manager,
+ DdNode * f,
+ DdNode * cube)
+{
+ DdNode *T, *E, *res, *res1, *res2, *one, *zero;
+
+ statLine(manager);
+ one = DD_ONE(manager);
+ zero = DD_ZERO(manager);
+
+ /* Cube is guaranteed to be a cube at this point.
+ ** zero and one are the only constatnts c such that c*c=c.
+ */
+ if (f == zero || f == one || cube == one) {
+ return(f);
+ }
+
+ /* Abstract a variable that does not appear in f. */
+ if (cuddI(manager,f->index) > cuddI(manager,cube->index)) {
+ res1 = cuddAddUnivAbstractRecur(manager, f, cuddT(cube));
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ /* Use the "internal" procedure to be alerted in case of
+ ** dynamic reordering. If dynamic reordering occurs, we
+ ** have to abort the entire abstraction.
+ */
+ res = cuddAddApplyRecur(manager, Cudd_addTimes, res1, res1);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,res1);
+ cuddDeref(res);
+ return(res);
+ }
+
+ if ((res = cuddCacheLookup2(manager, Cudd_addUnivAbstract, f, cube)) != NULL) {
+ return(res);
+ }
+
+ T = cuddT(f);
+ E = cuddE(f);
+
+ /* If the two indices are the same, so are their levels. */
+ if (f->index == cube->index) {
+ res1 = cuddAddUnivAbstractRecur(manager, T, cuddT(cube));
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ res2 = cuddAddUnivAbstractRecur(manager, E, cuddT(cube));
+ if (res2 == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res2);
+ res = cuddAddApplyRecur(manager, Cudd_addTimes, res1, res2);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ cuddCacheInsert2(manager, Cudd_addUnivAbstract, f, cube, res);
+ cuddDeref(res);
+ return(res);
+ } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */
+ res1 = cuddAddUnivAbstractRecur(manager, T, cube);
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ res2 = cuddAddUnivAbstractRecur(manager, E, cube);
+ if (res2 == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res2);
+ res = (res1 == res2) ? res1 :
+ cuddUniqueInter(manager, (int) f->index, res1, res2);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ return(NULL);
+ }
+ cuddDeref(res1);
+ cuddDeref(res2);
+ cuddCacheInsert2(manager, Cudd_addUnivAbstract, f, cube, res);
+ return(res);
+ }
+
+} /* end of cuddAddUnivAbstractRecur */
+
+
+/**Function********************************************************************
+
+ Synopsis [Performs the recursive step of Cudd_addOrAbstract.]
+
+ Description [Performs the recursive step of Cudd_addOrAbstract.
+ Returns the ADD obtained by abstracting the variables of cube from f,
+ if successful; NULL otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+DdNode *
+cuddAddOrAbstractRecur(
+ DdManager * manager,
+ DdNode * f,
+ DdNode * cube)
+{
+ DdNode *T, *E, *res, *res1, *res2, *one;
+
+ statLine(manager);
+ one = DD_ONE(manager);
+
+ /* Cube is guaranteed to be a cube at this point. */
+ if (cuddIsConstant(f) || cube == one) {
+ return(f);
+ }
+
+ /* Abstract a variable that does not appear in f. */
+ if (cuddI(manager,f->index) > cuddI(manager,cube->index)) {
+ res1 = cuddAddOrAbstractRecur(manager, f, cuddT(cube));
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ /* Use the "internal" procedure to be alerted in case of
+ ** dynamic reordering. If dynamic reordering occurs, we
+ ** have to abort the entire abstraction.
+ */
+ res = cuddAddApplyRecur(manager, Cudd_addOr, res1, res1);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,res1);
+ cuddDeref(res);
+ return(res);
+ }
+
+ if ((res = cuddCacheLookup2(manager, Cudd_addOrAbstract, f, cube)) != NULL) {
+ return(res);
+ }
+
+ T = cuddT(f);
+ E = cuddE(f);
+
+ /* If the two indices are the same, so are their levels. */
+ if (f->index == cube->index) {
+ res1 = cuddAddOrAbstractRecur(manager, T, cuddT(cube));
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ if (res1 != one) {
+ res2 = cuddAddOrAbstractRecur(manager, E, cuddT(cube));
+ if (res2 == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res2);
+ res = cuddAddApplyRecur(manager, Cudd_addOr, res1, res2);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ return(NULL);
+ }
+ cuddRef(res);
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ } else {
+ res = res1;
+ }
+ cuddCacheInsert2(manager, Cudd_addOrAbstract, f, cube, res);
+ cuddDeref(res);
+ return(res);
+ } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */
+ res1 = cuddAddOrAbstractRecur(manager, T, cube);
+ if (res1 == NULL) return(NULL);
+ cuddRef(res1);
+ res2 = cuddAddOrAbstractRecur(manager, E, cube);
+ if (res2 == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ return(NULL);
+ }
+ cuddRef(res2);
+ res = (res1 == res2) ? res1 :
+ cuddUniqueInter(manager, (int) f->index, res1, res2);
+ if (res == NULL) {
+ Cudd_RecursiveDeref(manager,res1);
+ Cudd_RecursiveDeref(manager,res2);
+ return(NULL);
+ }
+ cuddDeref(res1);
+ cuddDeref(res2);
+ cuddCacheInsert2(manager, Cudd_addOrAbstract, f, cube, res);
+ return(res);
+ }
+
+} /* end of cuddAddOrAbstractRecur */
+
+
+
+/*---------------------------------------------------------------------------*/
+/* Definition of static functions */
+/*---------------------------------------------------------------------------*/
+
+
+/**Function********************************************************************
+
+ Synopsis [Checks whether cube is an ADD representing the product
+ of positive literals.]
+
+ Description [Checks whether cube is an ADD representing the product of
+ positive literals. Returns 1 in case of success; 0 otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+static int
+addCheckPositiveCube(
+ DdManager * manager,
+ DdNode * cube)
+{
+ if (Cudd_IsComplement(cube)) return(0);
+ if (cube == DD_ONE(manager)) return(1);
+ if (cuddIsConstant(cube)) return(0);
+ if (cuddE(cube) == DD_ZERO(manager)) {
+ return(addCheckPositiveCube(manager, cuddT(cube)));
+ }
+ return(0);
+
+} /* end of addCheckPositiveCube */
+