cuddAndAbs.c

/**CFile***********************************************************************

  FileName    [cuddAndAbs.c]

  PackageName [cudd]

  Synopsis    [Combined AND and existential abstraction for BDDs]

  Description [External procedures included in this module:
                <ul>
                <li> Cudd_bddAndAbstract()
                <li> Cudd_bddAndAbstractLimit()
                </ul>
            Internal procedures included in this module:
                <ul>
                <li> cuddBddAndAbstractRecur()
                </ul>]

  Author      [Fabio Somenzi]

  Copyright   [Copyright (c) 1995-2004, 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 "misc/util/util_hack.h"
#include "cuddInt.h"

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#ifndef lint
static char rcsid[] DD_UNUSED = "$Id: cuddAndAbs.c,v 1.19 2004/08/13 18:04:46 fabio Exp $";
#endif


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/**Function********************************************************************

  Synopsis [Takes the AND of two BDDs and simultaneously abstracts the
  variables in cube.]

  Description [Takes the AND of two BDDs and simultaneously abstracts
  the variables in cube. The variables are existentially abstracted.
  Returns a pointer to the result is successful; NULL otherwise.
  Cudd_bddAndAbstract implements the semiring matrix multiplication
  algorithm for the boolean semiring.]

  SideEffects [None]

  SeeAlso     [Cudd_addMatrixMultiply Cudd_addTriangle Cudd_bddAnd]

******************************************************************************/
DdNode *
Cudd_bddAndAbstract(
  DdManager * manager,
  DdNode * f,
  DdNode * g,
  DdNode * cube)
{
    DdNode *res;

    do {
        manager->reordered = 0;
        res = cuddBddAndAbstractRecur(manager, f, g, cube);
    } while (manager->reordered == 1);
    return(res);

} /* end of Cudd_bddAndAbstract */


/**Function********************************************************************

  Synopsis [Takes the AND of two BDDs and simultaneously abstracts the
  variables in cube.  Returns NULL if too many nodes are required.]

  Description [Takes the AND of two BDDs and simultaneously abstracts
  the variables in cube. The variables are existentially abstracted.
  Returns a pointer to the result is successful; NULL otherwise.
  In particular, if the number of new nodes created exceeds
  <code>limit</code>, this function returns NULL.]

  SideEffects [None]

  SeeAlso     [Cudd_bddAndAbstract]

******************************************************************************/
DdNode *
Cudd_bddAndAbstractLimit(
  DdManager * manager,
  DdNode * f,
  DdNode * g,
  DdNode * cube,
  unsigned int limit)
{
    DdNode *res;
    unsigned int saveLimit = manager->maxLive;

    manager->maxLive = (manager->keys - manager->dead) +
      (manager->keysZ - manager->deadZ) + limit;
    do {
        manager->reordered = 0;
        res = cuddBddAndAbstractRecur(manager, f, g, cube);
    } while (manager->reordered == 1);
    manager->maxLive = saveLimit;
    return(res);

} /* end of Cudd_bddAndAbstractLimit */


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/**Function********************************************************************

  Synopsis [Takes the AND of two BDDs and simultaneously abstracts the
  variables in cube.]

  Description [Takes the AND of two BDDs and simultaneously abstracts
  the variables in cube. The variables are existentially abstracted.
  Returns a pointer to the result is successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_bddAndAbstract]

******************************************************************************/
DdNode *
cuddBddAndAbstractRecur(
  DdManager * manager,
  DdNode * f,
  DdNode * g,
  DdNode * cube)
{
    DdNode *F, *ft, *fe, *G, *gt, *ge;
    DdNode *one, *zero, *r, *t, *e;
    unsigned int topf, topg, topcube, top, index;

    statLine(manager);
    one = DD_ONE(manager);
    zero = Cudd_Not(one);

    /* Terminal cases. */
    if (f == zero || g == zero || f == Cudd_Not(g)) return(zero);
    if (f == one && g == one)   return(one);

    if (cube == one) {
        return(cuddBddAndRecur(manager, f, g));
    }
    if (f == one || f == g) {
        return(cuddBddExistAbstractRecur(manager, g, cube));
    }
    if (g == one) {
        return(cuddBddExistAbstractRecur(manager, f, cube));
    }
    /* At this point f, g, and cube are not constant. */

    if (f > g) { /* Try to increase cache efficiency. */
        DdNode *tmp = f;
        f = g;
        g = tmp;
    }

    /* Here we can skip the use of cuddI, because the operands are known
    ** to be non-constant.
    */
    F = Cudd_Regular(f);
    G = Cudd_Regular(g);
    topf = manager->perm[F->index];
    topg = manager->perm[G->index];
    top = ddMin(topf, topg);
    topcube = manager->perm[cube->index];

    while (topcube < top) {
        cube = cuddT(cube);
        if (cube == one) {
            return(cuddBddAndRecur(manager, f, g));
        }
        topcube = manager->perm[cube->index];
    }
    /* Now, topcube >= top. */

    /* Check cache. */
    if (F->ref != 1 || G->ref != 1) {
        r = cuddCacheLookup(manager, DD_BDD_AND_ABSTRACT_TAG, f, g, cube);
        if (r != NULL) {
            return(r);
        }
    }

    if ( manager->TimeStop && clock() > manager->TimeStop )
        return NULL;

    if (topf == top) {
        index = F->index;
        ft = cuddT(F);
        fe = cuddE(F);
        if (Cudd_IsComplement(f)) {
            ft = Cudd_Not(ft);
            fe = Cudd_Not(fe);
        }
    } else {
        index = G->index;
        ft = fe = f;
    }

    if (topg == top) {
        gt = cuddT(G);
        ge = cuddE(G);
        if (Cudd_IsComplement(g)) {
            gt = Cudd_Not(gt);
            ge = Cudd_Not(ge);
        }
    } else {
        gt = ge = g;
    }

    if (topcube == top) {       /* quantify */
        DdNode *Cube = cuddT(cube);
        t = cuddBddAndAbstractRecur(manager, ft, gt, Cube);
        if (t == NULL) return(NULL);
        /* Special case: 1 OR anything = 1. Hence, no need to compute
        ** the else branch if t is 1. Likewise t + t * anything == t.
        ** Notice that t == fe implies that fe does not depend on the
        ** variables in Cube. Likewise for t == ge.
        */
        if (t == one || t == fe || t == ge) {
            if (F->ref != 1 || G->ref != 1)
                cuddCacheInsert(manager, DD_BDD_AND_ABSTRACT_TAG,
                                f, g, cube, t);
            return(t);
        }
        cuddRef(t);
        /* Special case: t + !t * anything == t + anything. */
        if (t == Cudd_Not(fe)) {
            e = cuddBddExistAbstractRecur(manager, ge, Cube);
        } else if (t == Cudd_Not(ge)) {
            e = cuddBddExistAbstractRecur(manager, fe, Cube);
        } else {
            e = cuddBddAndAbstractRecur(manager, fe, ge, Cube);
        }
        if (e == NULL) {
            Cudd_IterDerefBdd(manager, t);
            return(NULL);
        }
        if (t == e) {
            r = t;
            cuddDeref(t);
        } else {
            cuddRef(e);
            r = cuddBddAndRecur(manager, Cudd_Not(t), Cudd_Not(e));
            if (r == NULL) {
                Cudd_IterDerefBdd(manager, t);
                Cudd_IterDerefBdd(manager, e);
                return(NULL);
            }
            r = Cudd_Not(r);
            cuddRef(r);
            Cudd_DelayedDerefBdd(manager, t);
            Cudd_DelayedDerefBdd(manager, e);
            cuddDeref(r);
        }
    } else {
        t = cuddBddAndAbstractRecur(manager, ft, gt, cube);
        if (t == NULL) return(NULL);
        cuddRef(t);
        e = cuddBddAndAbstractRecur(manager, fe, ge, cube);
        if (e == NULL) {
            Cudd_IterDerefBdd(manager, t);
            return(NULL);
        }
        if (t == e) {
            r = t;
            cuddDeref(t);
        } else {
            cuddRef(e);
            if (Cudd_IsComplement(t)) {
                r = cuddUniqueInter(manager, (int) index,
                                    Cudd_Not(t), Cudd_Not(e));
                if (r == NULL) {
                    Cudd_IterDerefBdd(manager, t);
                    Cudd_IterDerefBdd(manager, e);
                    return(NULL);
                }
                r = Cudd_Not(r);
            } else {
                r = cuddUniqueInter(manager,(int)index,t,e);
                if (r == NULL) {
                    Cudd_IterDerefBdd(manager, t);
                    Cudd_IterDerefBdd(manager, e);
                    return(NULL);
                }
            }
            cuddDeref(e);
            cuddDeref(t);
        }
    }

    if (F->ref != 1 || G->ref != 1)
        cuddCacheInsert(manager, DD_BDD_AND_ABSTRACT_TAG, f, g, cube, r);
    return (r);

} /* end of cuddBddAndAbstractRecur */


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