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-/**CFile****************************************************************
-
- FileName [extraBddUnate.c]
-
- PackageName [extra]
-
- Synopsis [Efficient methods to compute the information about
- unate variables using an algorithm that is conceptually similar to
- the algorithm for two-variable symmetry computation presented in:
- A. Mishchenko. Fast Computation of Symmetries in Boolean Functions.
- Transactions on CAD, Nov. 2003.]
-
- Author [Alan Mishchenko]
-
- Affiliation [UC Berkeley]
-
- Date [Ver. 2.0. Started - September 1, 2003.]
-
- Revision [$Id: extraBddUnate.c,v 1.0 2003/09/01 00:00:00 alanmi Exp $]
-
-***********************************************************************/
-
-#include "extraBdd.h"
-
-ABC_NAMESPACE_IMPL_START
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticEnd***************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
- Synopsis [Computes the classical symmetry information for the function.]
-
- Description [Returns the symmetry information in the form of Extra_UnateInfo_t structure.]
-
- SideEffects [If the ZDD variables are not derived from BDD variables with
- multiplicity 2, this function may derive them in a wrong way.]
-
- SeeAlso []
-
-******************************************************************************/
-Extra_UnateInfo_t * Extra_UnateComputeFast(
- DdManager * dd, /* the manager */
- DdNode * bFunc) /* the function whose symmetries are computed */
-{
- DdNode * bSupp;
- DdNode * zRes;
- Extra_UnateInfo_t * p;
-
- bSupp = Cudd_Support( dd, bFunc ); Cudd_Ref( bSupp );
- zRes = Extra_zddUnateInfoCompute( dd, bFunc, bSupp ); Cudd_Ref( zRes );
-
- p = Extra_UnateInfoCreateFromZdd( dd, zRes, bSupp );
-
- Cudd_RecursiveDeref( dd, bSupp );
- Cudd_RecursiveDerefZdd( dd, zRes );
-
- return p;
-
-} /* end of Extra_UnateInfoCompute */
-
-
-/**Function********************************************************************
-
- Synopsis [Computes the classical symmetry information as a ZDD.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-DdNode * Extra_zddUnateInfoCompute(
- DdManager * dd, /* the DD manager */
- DdNode * bF,
- DdNode * bVars)
-{
- DdNode * res;
- do {
- dd->reordered = 0;
- res = extraZddUnateInfoCompute( dd, bF, bVars );
- } while (dd->reordered == 1);
- return(res);
-
-} /* end of Extra_zddUnateInfoCompute */
-
-
-/**Function********************************************************************
-
- Synopsis [Converts a set of variables into a set of singleton subsets.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-DdNode * Extra_zddGetSingletonsBoth(
- DdManager * dd, /* the DD manager */
- DdNode * bVars) /* the set of variables */
-{
- DdNode * res;
- do {
- dd->reordered = 0;
- res = extraZddGetSingletonsBoth( dd, bVars );
- } while (dd->reordered == 1);
- return(res);
-
-} /* end of Extra_zddGetSingletonsBoth */
-
-/**Function********************************************************************
-
- Synopsis [Allocates unateness information structure.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-Extra_UnateInfo_t * Extra_UnateInfoAllocate( int nVars )
-{
- Extra_UnateInfo_t * p;
- // allocate and clean the storage for unateness info
- p = ABC_ALLOC( Extra_UnateInfo_t, 1 );
- memset( p, 0, sizeof(Extra_UnateInfo_t) );
- p->nVars = nVars;
- p->pVars = ABC_ALLOC( Extra_UnateVar_t, nVars );
- memset( p->pVars, 0, nVars * sizeof(Extra_UnateVar_t) );
- return p;
-} /* end of Extra_UnateInfoAllocate */
-
-/**Function********************************************************************
-
- Synopsis [Deallocates symmetry information structure.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-void Extra_UnateInfoDissolve( Extra_UnateInfo_t * p )
-{
- ABC_FREE( p->pVars );
- ABC_FREE( p );
-} /* end of Extra_UnateInfoDissolve */
-
-/**Function********************************************************************
-
- Synopsis [Allocates symmetry information structure.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-void Extra_UnateInfoPrint( Extra_UnateInfo_t * p )
-{
- char * pBuffer;
- int i;
- pBuffer = ABC_ALLOC( char, p->nVarsMax+1 );
- memset( pBuffer, ' ', p->nVarsMax );
- pBuffer[p->nVarsMax] = 0;
- for ( i = 0; i < p->nVars; i++ )
- if ( p->pVars[i].Neg )
- pBuffer[ p->pVars[i].iVar ] = 'n';
- else if ( p->pVars[i].Pos )
- pBuffer[ p->pVars[i].iVar ] = 'p';
- else
- pBuffer[ p->pVars[i].iVar ] = '.';
- printf( "%s\n", pBuffer );
- ABC_FREE( pBuffer );
-} /* end of Extra_UnateInfoPrint */
-
-
-/**Function********************************************************************
-
- Synopsis [Creates the symmetry information structure from ZDD.]
-
- Description [ZDD representation of symmetries is the set of cubes, each
- of which has two variables in the positive polarity. These variables correspond
- to the symmetric variable pair.]
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-Extra_UnateInfo_t * Extra_UnateInfoCreateFromZdd( DdManager * dd, DdNode * zPairs, DdNode * bSupp )
-{
- Extra_UnateInfo_t * p;
- DdNode * bTemp, * zSet, * zCube, * zTemp;
- int * pMapVars2Nums;
- int i, nSuppSize;
-
- nSuppSize = Extra_bddSuppSize( dd, bSupp );
-
- // allocate and clean the storage for symmetry info
- p = Extra_UnateInfoAllocate( nSuppSize );
-
- // allocate the storage for the temporary map
- pMapVars2Nums = ABC_ALLOC( int, dd->size );
- memset( pMapVars2Nums, 0, dd->size * sizeof(int) );
-
- // assign the variables
- p->nVarsMax = dd->size;
- for ( i = 0, bTemp = bSupp; bTemp != b1; bTemp = cuddT(bTemp), i++ )
- {
- p->pVars[i].iVar = bTemp->index;
- pMapVars2Nums[bTemp->index] = i;
- }
-
- // write the symmetry info into the structure
- zSet = zPairs; Cudd_Ref( zSet );
-// Cudd_zddPrintCover( dd, zPairs ); printf( "\n" );
- while ( zSet != z0 )
- {
- // get the next cube
- zCube = Extra_zddSelectOneSubset( dd, zSet ); Cudd_Ref( zCube );
-
- // add this var to the data structure
- assert( cuddT(zCube) == z1 && cuddE(zCube) == z0 );
- if ( zCube->index & 1 ) // neg
- p->pVars[ pMapVars2Nums[zCube->index/2] ].Neg = 1;
- else
- p->pVars[ pMapVars2Nums[zCube->index/2] ].Pos = 1;
- // count the unate vars
- p->nUnate++;
-
- // update the cuver and deref the cube
- zSet = Cudd_zddDiff( dd, zTemp = zSet, zCube ); Cudd_Ref( zSet );
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zCube );
-
- } // for each cube
- Cudd_RecursiveDerefZdd( dd, zSet );
- ABC_FREE( pMapVars2Nums );
- return p;
-
-} /* end of Extra_UnateInfoCreateFromZdd */
-
-
-
-/**Function********************************************************************
-
- Synopsis [Computes the classical unateness information for the function.]
-
- Description [Uses the naive way of comparing cofactors.]
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-Extra_UnateInfo_t * Extra_UnateComputeSlow( DdManager * dd, DdNode * bFunc )
-{
- int nSuppSize;
- DdNode * bSupp, * bTemp;
- Extra_UnateInfo_t * p;
- int i, Res;
-
- // compute the support
- bSupp = Cudd_Support( dd, bFunc ); Cudd_Ref( bSupp );
- nSuppSize = Extra_bddSuppSize( dd, bSupp );
-//printf( "Support = %d. ", nSuppSize );
-//Extra_bddPrint( dd, bSupp );
-//printf( "%d ", nSuppSize );
-
- // allocate the storage for symmetry info
- p = Extra_UnateInfoAllocate( nSuppSize );
-
- // assign the variables
- p->nVarsMax = dd->size;
- for ( i = 0, bTemp = bSupp; bTemp != b1; bTemp = cuddT(bTemp), i++ )
- {
- Res = Extra_bddCheckUnateNaive( dd, bFunc, bTemp->index );
- p->pVars[i].iVar = bTemp->index;
- if ( Res == -1 )
- p->pVars[i].Neg = 1;
- else if ( Res == 1 )
- p->pVars[i].Pos = 1;
- p->nUnate += (Res != 0);
- }
- Cudd_RecursiveDeref( dd, bSupp );
- return p;
-
-} /* end of Extra_UnateComputeSlow */
-
-/**Function********************************************************************
-
- Synopsis [Checks if the two variables are symmetric.]
-
- Description [Returns 0 if vars are not unate. Return -1/+1 if the var is neg/pos unate.]
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-int Extra_bddCheckUnateNaive(
- DdManager * dd, /* the DD manager */
- DdNode * bF,
- int iVar)
-{
- DdNode * bCof0, * bCof1;
- int Res;
-
- assert( iVar < dd->size );
-
- bCof0 = Cudd_Cofactor( dd, bF, Cudd_Not(Cudd_bddIthVar(dd,iVar)) ); Cudd_Ref( bCof0 );
- bCof1 = Cudd_Cofactor( dd, bF, Cudd_bddIthVar(dd,iVar) ); Cudd_Ref( bCof1 );
-
- if ( Cudd_bddLeq( dd, bCof0, bCof1 ) )
- Res = 1;
- else if ( Cudd_bddLeq( dd, bCof1, bCof0 ) )
- Res =-1;
- else
- Res = 0;
-
- Cudd_RecursiveDeref( dd, bCof0 );
- Cudd_RecursiveDeref( dd, bCof1 );
- return Res;
-} /* end of Extra_bddCheckUnateNaive */
-
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
- Synopsis [Performs a recursive step of Extra_UnateInfoCompute.]
-
- Description [Returns the set of symmetric variable pairs represented as a set
- of two-literal ZDD cubes. Both variables always appear in the positive polarity
- in the cubes. This function works without building new BDD nodes. Some relatively
- small number of ZDD nodes may be built to ensure proper bookkeeping of the
- symmetry information.]
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-DdNode *
-extraZddUnateInfoCompute(
- DdManager * dd, /* the manager */
- DdNode * bFunc, /* the function whose symmetries are computed */
- DdNode * bVars ) /* the set of variables on which this function depends */
-{
- DdNode * zRes;
- DdNode * bFR = Cudd_Regular(bFunc);
-
- if ( cuddIsConstant(bFR) )
- {
- if ( cuddIsConstant(bVars) )
- return z0;
- return extraZddGetSingletonsBoth( dd, bVars );
- }
- assert( bVars != b1 );
-
- if ( (zRes = cuddCacheLookup2Zdd(dd, extraZddUnateInfoCompute, bFunc, bVars)) )
- return zRes;
- else
- {
- DdNode * zRes0, * zRes1;
- DdNode * zTemp, * zPlus;
- DdNode * bF0, * bF1;
- DdNode * bVarsNew;
- int nVarsExtra;
- int LevelF;
- int AddVar;
-
- // every variable in bF should be also in bVars, therefore LevelF cannot be above LevelV
- // if LevelF is below LevelV, scroll through the vars in bVars to the same level as F
- // count how many extra vars are there in bVars
- nVarsExtra = 0;
- LevelF = dd->perm[bFR->index];
- for ( bVarsNew = bVars; LevelF > dd->perm[bVarsNew->index]; bVarsNew = cuddT(bVarsNew) )
- nVarsExtra++;
- // the indexes (level) of variables should be synchronized now
- assert( bFR->index == bVarsNew->index );
-
- // cofactor the function
- if ( bFR != bFunc ) // bFunc is complemented
- {
- bF0 = Cudd_Not( cuddE(bFR) );
- bF1 = Cudd_Not( cuddT(bFR) );
- }
- else
- {
- bF0 = cuddE(bFR);
- bF1 = cuddT(bFR);
- }
-
- // solve subproblems
- zRes0 = extraZddUnateInfoCompute( dd, bF0, cuddT(bVarsNew) );
- if ( zRes0 == NULL )
- return NULL;
- cuddRef( zRes0 );
-
- // if there is no symmetries in the negative cofactor
- // there is no need to test the positive cofactor
- if ( zRes0 == z0 )
- zRes = zRes0; // zRes takes reference
- else
- {
- zRes1 = extraZddUnateInfoCompute( dd, bF1, cuddT(bVarsNew) );
- if ( zRes1 == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes0 );
- return NULL;
- }
- cuddRef( zRes1 );
-
- // only those variables are pair-wise symmetric
- // that are pair-wise symmetric in both cofactors
- // therefore, intersect the solutions
- zRes = cuddZddIntersect( dd, zRes0, zRes1 );
- if ( zRes == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes0 );
- Cudd_RecursiveDerefZdd( dd, zRes1 );
- return NULL;
- }
- cuddRef( zRes );
- Cudd_RecursiveDerefZdd( dd, zRes0 );
- Cudd_RecursiveDerefZdd( dd, zRes1 );
- }
-
- // consider the current top-most variable
- AddVar = -1;
- if ( Cudd_bddLeq( dd, bF0, bF1 ) ) // pos
- AddVar = 0;
- else if ( Cudd_bddLeq( dd, bF1, bF0 ) ) // neg
- AddVar = 1;
- if ( AddVar >= 0 )
- {
- // create the singleton
- zPlus = cuddZddGetNode( dd, 2*bFR->index + AddVar, z1, z0 );
- if ( zPlus == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes );
- return NULL;
- }
- cuddRef( zPlus );
-
- // add these to the result
- zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
- if ( zRes == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- return NULL;
- }
- cuddRef( zRes );
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- }
- // only zRes is referenced at this point
-
- // if we skipped some variables, these variables cannot be symmetric with
- // any variables that are currently in the support of bF, but they can be
- // symmetric with the variables that are in bVars but not in the support of bF
- for ( bVarsNew = bVars; LevelF > dd->perm[bVarsNew->index]; bVarsNew = cuddT(bVarsNew) )
- {
- // create the negative singleton
- zPlus = cuddZddGetNode( dd, 2*bVarsNew->index+1, z1, z0 );
- if ( zPlus == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes );
- return NULL;
- }
- cuddRef( zPlus );
-
- // add these to the result
- zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
- if ( zRes == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- return NULL;
- }
- cuddRef( zRes );
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
-
-
- // create the positive singleton
- zPlus = cuddZddGetNode( dd, 2*bVarsNew->index, z1, z0 );
- if ( zPlus == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes );
- return NULL;
- }
- cuddRef( zPlus );
-
- // add these to the result
- zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
- if ( zRes == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- return NULL;
- }
- cuddRef( zRes );
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- }
- cuddDeref( zRes );
-
- /* insert the result into cache */
- cuddCacheInsert2(dd, extraZddUnateInfoCompute, bFunc, bVars, zRes);
- return zRes;
- }
-} /* end of extraZddUnateInfoCompute */
-
-
-/**Function********************************************************************
-
- Synopsis [Performs a recursive step of Extra_zddGetSingletons.]
-
- Description [Returns the set of ZDD singletons, containing those pos/neg
- polarity ZDD variables that correspond to the BDD variables in bVars.]
-
- SideEffects []
-
- SeeAlso []
-
-******************************************************************************/
-DdNode * extraZddGetSingletonsBoth(
- DdManager * dd, /* the DD manager */
- DdNode * bVars) /* the set of variables */
-{
- DdNode * zRes;
-
- if ( bVars == b1 )
- return z1;
-
- if ( (zRes = cuddCacheLookup1Zdd(dd, extraZddGetSingletonsBoth, bVars)) )
- return zRes;
- else
- {
- DdNode * zTemp, * zPlus;
-
- // solve subproblem
- zRes = extraZddGetSingletonsBoth( dd, cuddT(bVars) );
- if ( zRes == NULL )
- return NULL;
- cuddRef( zRes );
-
-
- // create the negative singleton
- zPlus = cuddZddGetNode( dd, 2*bVars->index+1, z1, z0 );
- if ( zPlus == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes );
- return NULL;
- }
- cuddRef( zPlus );
-
- // add these to the result
- zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
- if ( zRes == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- return NULL;
- }
- cuddRef( zRes );
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
-
-
- // create the positive singleton
- zPlus = cuddZddGetNode( dd, 2*bVars->index, z1, z0 );
- if ( zPlus == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zRes );
- return NULL;
- }
- cuddRef( zPlus );
-
- // add these to the result
- zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
- if ( zRes == NULL )
- {
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
- return NULL;
- }
- cuddRef( zRes );
- Cudd_RecursiveDerefZdd( dd, zTemp );
- Cudd_RecursiveDerefZdd( dd, zPlus );
-
- cuddDeref( zRes );
- cuddCacheInsert1( dd, extraZddGetSingletonsBoth, bVars, zRes );
- return zRes;
- }
-} /* end of extraZddGetSingletonsBoth */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static Functions */
-/*---------------------------------------------------------------------------*/
-ABC_NAMESPACE_IMPL_END
-