Quantification functions for BDDs. More...

#include "util.h"
#include "cuddInt.h"

Include dependency graph for cuddBddAbs.c:

Functions
DdNode *	Cudd_bddExistAbstract (DdManager manager, DdNode f, DdNode *cube)
	Existentially abstracts all the variables in cube from f. More...

DdNode *	Cudd_bddExistAbstractLimit (DdManager manager, DdNode f, DdNode *cube, unsigned int limit)
	Existentially abstracts all the variables in cube from f. More...

DdNode *	Cudd_bddXorExistAbstract (DdManager manager, DdNode f, DdNode g, DdNode cube)
	Takes the exclusive OR of two BDDs and simultaneously abstracts the variables in cube. More...

DdNode *	Cudd_bddUnivAbstract (DdManager manager, DdNode f, DdNode *cube)
	Universally abstracts all the variables in cube from f. More...

DdNode *	Cudd_bddBooleanDiff (DdManager manager, DdNode f, int x)
	Computes the boolean difference of f with respect to x. More...

int	Cudd_bddVarIsDependent (DdManager dd, DdNode f, DdNode *var)
	Checks whether a variable is dependent on others in a function. More...

DdNode *	cuddBddExistAbstractRecur (DdManager manager, DdNode f, DdNode *cube)
	Performs the recursive steps of Cudd_bddExistAbstract. More...

DdNode *	cuddBddXorExistAbstractRecur (DdManager manager, DdNode f, DdNode g, DdNode cube)
	Takes the exclusive OR of two BDDs and simultaneously abstracts the variables in cube. More...

DdNode *	cuddBddBooleanDiffRecur (DdManager manager, DdNode f, DdNode *var)
	Performs the recursive steps of Cudd_bddBoleanDiff. More...

static int	bddCheckPositiveCube (DdManager manager, DdNode cube)
	Checks whether cube is a BDD representing the product of positive literals. More...

Detailed Description

Quantification functions for BDDs.

Author: Fabio Somenzi

Copyright

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.

Function Documentation

◆ bddCheckPositiveCube()

static int bddCheckPositiveCube	(	DdManager *	manager,
		DdNode *	cube
	)

static

Checks whether cube is a BDD representing the product of positive literals.

Returns: 1 in case of success; 0 otherwise.

Side effects None

◆ Cudd_bddBooleanDiff()

DdNode* Cudd_bddBooleanDiff	(	DdManager *	manager,
		DdNode *	f,
		int	x
	)

Computes the boolean difference of f with respect to x.

Computes the boolean difference of f with respect to the variable with index x.

Returns: the BDD of the boolean difference if successful; NULL otherwise.

Side effects None

◆ Cudd_bddExistAbstract()

DdNode* Cudd_bddExistAbstract	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	cube
	)

Existentially abstracts all the variables in cube from f.

Returns: the abstracted BDD if successful; NULL otherwise.

Side effects None

See also: Cudd_bddUnivAbstract Cudd_addExistAbstract

◆ Cudd_bddExistAbstractLimit()

DdNode* Cudd_bddExistAbstractLimit	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	cube,
		unsigned int	limit
	)

Existentially abstracts all the variables in cube from f.

Returns: the abstracted BDD if successful; NULL if the intermediate result blows up or more new nodes than limit are required.

Side effects None

See also: Cudd_bddExistAbstract

◆ Cudd_bddUnivAbstract()

DdNode* Cudd_bddUnivAbstract	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	cube
	)

Universally abstracts all the variables in cube from f.

Returns: the abstracted BDD if successful; NULL otherwise.

Side effects None

See also: Cudd_bddExistAbstract Cudd_addUnivAbstract

◆ Cudd_bddVarIsDependent()

int Cudd_bddVarIsDependent	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	var
	)

Checks whether a variable is dependent on others in a function.

No new nodes are created.

Returns: 1 if the variable is dependent; 0 otherwise.

Side effects None

Parameters

dd	manager
f	function
var	variable

◆ Cudd_bddXorExistAbstract()

DdNode* Cudd_bddXorExistAbstract	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	g,
		DdNode *	cube
	)

Takes the exclusive OR 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.

Side effects None

See also: Cudd_bddUnivAbstract Cudd_bddExistAbstract Cudd_bddAndAbstract

◆ cuddBddBooleanDiffRecur()

DdNode* cuddBddBooleanDiffRecur	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	var
	)

Performs the recursive steps of Cudd_bddBoleanDiff.

Exploits the fact that dF/dx = dF'/dx.

Returns: the BDD obtained by XORing the cofactors of f with respect to var if successful; NULL otherwise.

Side effects None

◆ cuddBddExistAbstractRecur()

DdNode* cuddBddExistAbstractRecur	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	cube
	)

Performs the recursive steps of Cudd_bddExistAbstract.

It is also used by Cudd_bddUnivAbstract.

Returns: the BDD obtained by abstracting the variables of cube from f if successful; NULL otherwise.

Side effects None

See also: Cudd_bddExistAbstract Cudd_bddUnivAbstract

◆ cuddBddXorExistAbstractRecur()

DdNode* cuddBddXorExistAbstractRecur	(	DdManager *	manager,
		DdNode *	f,
		DdNode *	g,
		DdNode *	cube
	)