Functions to manipulate covers represented as ZDDs. More...

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

Include dependency graph for cuddZddFuncs.c:

Functions
DdNode *	Cudd_zddProduct (DdManager dd, DdNode f, DdNode *g)
	Computes the product of two covers represented by ZDDs. More...

DdNode *	Cudd_zddUnateProduct (DdManager dd, DdNode f, DdNode *g)
	Computes the product of two unate covers represented as ZDDs. More...

DdNode *	Cudd_zddWeakDiv (DdManager dd, DdNode f, DdNode *g)
	Applies weak division to two covers. More...

DdNode *	Cudd_zddDivide (DdManager dd, DdNode f, DdNode *g)
	Computes the quotient of two unate covers. More...

DdNode *	Cudd_zddWeakDivF (DdManager dd, DdNode f, DdNode *g)
	Modified version of Cudd_zddWeakDiv. More...

DdNode *	Cudd_zddDivideF (DdManager dd, DdNode f, DdNode *g)
	Modified version of Cudd_zddDivide. More...

DdNode *	Cudd_zddComplement (DdManager dd, DdNode node)
	Computes a complement cover for a ZDD node. More...

DdNode *	cuddZddProduct (DdManager dd, DdNode f, DdNode *g)
	Performs the recursive step of Cudd_zddProduct. More...

DdNode *	cuddZddUnateProduct (DdManager dd, DdNode f, DdNode *g)
	Performs the recursive step of Cudd_zddUnateProduct. More...

DdNode *	cuddZddWeakDiv (DdManager dd, DdNode f, DdNode *g)
	Performs the recursive step of Cudd_zddWeakDiv. More...

DdNode *	cuddZddWeakDivF (DdManager dd, DdNode f, DdNode *g)
	Performs the recursive step of Cudd_zddWeakDivF. More...

DdNode *	cuddZddDivide (DdManager dd, DdNode f, DdNode *g)
	Performs the recursive step of Cudd_zddDivide. More...

DdNode *	cuddZddDivideF (DdManager dd, DdNode f, DdNode *g)
	Performs the recursive step of Cudd_zddDivideF. More...

int	cuddZddGetCofactors3 (DdManager dd, DdNode f, int v, DdNode f1, DdNode f0, DdNode **fd)
	Computes the three-way decomposition of f w.r.t. v. More...

int	cuddZddGetCofactors2 (DdManager dd, DdNode f, int v, DdNode f1, DdNode f0)
	Computes the two-way decomposition of f w.r.t. v. More...

DdNode *	cuddZddComplement (DdManager dd, DdNode node)
	Computes a complement of a ZDD node. More...

int	cuddZddGetPosVarIndex (DdManager *dd, int index)
	Returns the index of positive ZDD variable.

int	cuddZddGetNegVarIndex (DdManager *dd, int index)
	Returns the index of negative ZDD variable.

int	cuddZddGetPosVarLevel (DdManager *dd, int index)
	Returns the level of positive ZDD variable.

int	cuddZddGetNegVarLevel (DdManager *dd, int index)
	Returns the level of negative ZDD variable.

Detailed Description

Functions to manipulate covers represented as ZDDs.

Author: In-Ho Moon

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

◆ Cudd_zddComplement()

DdNode* Cudd_zddComplement	(	DdManager *	dd,
		DdNode *	node
	)

Computes a complement cover for a ZDD node.

For lack of a better method, we first extract the function BDD from the ZDD cover, then make the complement of the ZDD cover from the complement of the BDD node by using ISOP. The result depends on current variable order.

Returns: a pointer to the resulting cover if successful; NULL otherwise.

Side effects The result depends on current variable order.

◆ Cudd_zddDivide()

DdNode* Cudd_zddDivide	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Computes the quotient of two unate covers.

Computes the quotient of two unate covers represented by ZDDs. Unate covers use one ZDD variable for each BDD variable.

Returns: a pointer to the resulting ZDD if successful; NULL otherwise.

Side effects None

See also: Cudd_zddWeakDiv

◆ Cudd_zddDivideF()

DdNode* Cudd_zddDivideF	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Modified version of Cudd_zddDivide.

This function may disappear in future releases.

Side effects None

◆ Cudd_zddProduct()

DdNode* Cudd_zddProduct	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Computes the product of two covers represented by ZDDs.

The result is also a ZDD. The covers on which Cudd_zddProduct operates use two ZDD variables for each function variable (one ZDD variable for each literal of the variable). Those two ZDD variables should be adjacent in the order.

Returns: a pointer to the result if successful; NULL otherwise.

Side effects None

See also: Cudd_zddUnateProduct

◆ Cudd_zddUnateProduct()

DdNode* Cudd_zddUnateProduct	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Computes the product of two unate covers represented as ZDDs.

Unate covers use one ZDD variable for each BDD variable.

Returns: a pointer to the result if successful; NULL otherwise.

Side effects None

See also: Cudd_zddProduct

◆ Cudd_zddWeakDiv()

DdNode* Cudd_zddWeakDiv	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Applies weak division to two covers.

Applies weak division to two ZDDs representing two covers. The result of weak division depends on the variable order. The covers on which Cudd_zddWeakDiv operates use two ZDD variables for each function variable (one ZDD variable for each literal of the variable). Those two ZDD variables should be adjacent in the order.

Returns: a pointer to the ZDD representing the result if successful; NULL otherwise.

Side effects None

See also: Cudd_zddDivide

◆ Cudd_zddWeakDivF()

DdNode* Cudd_zddWeakDivF	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Modified version of Cudd_zddWeakDiv.

This function may disappear in future releases.

Side effects None

See also: Cudd_zddWeakDiv

◆ cuddZddComplement()

DdNode* cuddZddComplement	(	DdManager *	dd,
		DdNode *	node
	)

Computes a complement of a ZDD node.

So far, since we couldn't find a direct way to get the complement of a ZDD cover, we first convert a ZDD cover to a BDD, then make the complement of the ZDD cover from the complement of the BDD node by using ISOP. The result depends on current variable order.

◆ cuddZddDivide()

DdNode* cuddZddDivide	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Performs the recursive step of Cudd_zddDivide.

Side effects None

See also: Cudd_zddDivide

◆ cuddZddDivideF()

DdNode* cuddZddDivideF	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Performs the recursive step of Cudd_zddDivideF.

Side effects None

See also: Cudd_zddDivideF

◆ cuddZddGetCofactors2()

int cuddZddGetCofactors2	(	DdManager *	dd,
		DdNode *	f,
		int	v,
		DdNode **	f1,
		DdNode **	f0
	)

Computes the two-way decomposition of f w.r.t. v.

Side effects The results are returned in f1 and f0.

See also: cuddZddGetCofactors3

◆ cuddZddGetCofactors3()

int cuddZddGetCofactors3	(	DdManager *	dd,
		DdNode *	f,
		int	v,
		DdNode **	f1,
		DdNode **	f0,
		DdNode **	fd
	)

Computes the three-way decomposition of f w.r.t. v.

Computes the three-way decomposition of function f (represented by a ZDD) with respect to variable v.

Returns: 0 if successful; 1 otherwise.

Side effects The results are returned in f1, f0, and fd.

See also: cuddZddGetCofactors2

◆ cuddZddProduct()

DdNode* cuddZddProduct	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Performs the recursive step of Cudd_zddProduct.

Side effects None

See also: Cudd_zddProduct

◆ cuddZddUnateProduct()

DdNode* cuddZddUnateProduct	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Performs the recursive step of Cudd_zddUnateProduct.

Side effects None

See also: Cudd_zddUnateProduct

◆ cuddZddWeakDiv()

DdNode* cuddZddWeakDiv	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Performs the recursive step of Cudd_zddWeakDiv.

Side effects None

See also: Cudd_zddWeakDiv

◆ cuddZddWeakDivF()

DdNode* cuddZddWeakDivF	(	DdManager *	dd,
		DdNode *	f,
		DdNode *	g
	)

Performs the recursive step of Cudd_zddWeakDivF.

Side effects None

See also: Cudd_zddWeakDivF