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-rw-r--r--src/proof/llb/llb3Image.c1093
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diff --git a/src/proof/llb/llb3Image.c b/src/proof/llb/llb3Image.c
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+++ b/src/proof/llb/llb3Image.c
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+/**CFile****************************************************************
+
+ FileName [llb3Image.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [BDD based reachability.]
+
+ Synopsis [Computes image using partitioned structure.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: llb3Image.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "llbInt.h"
+
+ABC_NAMESPACE_IMPL_START
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Llb_Var_t_ Llb_Var_t;
+struct Llb_Var_t_
+{
+ int iVar; // variable number
+ int nScore; // variable score
+ Vec_Int_t * vParts; // partitions
+};
+
+typedef struct Llb_Prt_t_ Llb_Prt_t;
+struct Llb_Prt_t_
+{
+ int iPart; // partition number
+ int nSize; // the number of BDD nodes
+ DdNode * bFunc; // the partition
+ Vec_Int_t * vVars; // support
+};
+
+typedef struct Llb_Mgr_t_ Llb_Mgr_t;
+struct Llb_Mgr_t_
+{
+ Aig_Man_t * pAig; // AIG manager
+ Vec_Ptr_t * vLeaves; // leaves in the AIG manager
+ Vec_Ptr_t * vRoots; // roots in the AIG manager
+ DdManager * dd; // working BDD manager
+ int * pVars2Q; // variables to quantify
+ // internal
+ Llb_Prt_t ** pParts; // partitions
+ Llb_Var_t ** pVars; // variables
+ int iPartFree; // next free partition
+ int nVars; // the number of BDD variables
+ int nSuppMax; // maximum support size
+ // temporary
+ int * pSupp; // temporary support storage
+};
+
+static inline Llb_Var_t * Llb_MgrVar( Llb_Mgr_t * p, int i ) { return p->pVars[i]; }
+static inline Llb_Prt_t * Llb_MgrPart( Llb_Mgr_t * p, int i ) { return p->pParts[i]; }
+
+// iterator over vars
+#define Llb_MgrForEachVar( p, pVar, i ) \
+ for ( i = 0; (i < p->nVars) && (((pVar) = Llb_MgrVar(p, i)), 1); i++ ) if ( pVar == NULL ) {} else
+// iterator over parts
+#define Llb_MgrForEachPart( p, pPart, i ) \
+ for ( i = 0; (i < p->iPartFree) && (((pPart) = Llb_MgrPart(p, i)), 1); i++ ) if ( pPart == NULL ) {} else
+
+// iterator over vars of one partition
+#define Llb_PartForEachVar( p, pPart, pVar, i ) \
+ for ( i = 0; (i < Vec_IntSize(pPart->vVars)) && (((pVar) = Llb_MgrVar(p, Vec_IntEntry(pPart->vVars,i))), 1); i++ )
+// iterator over parts of one variable
+#define Llb_VarForEachPart( p, pVar, pPart, i ) \
+ for ( i = 0; (i < Vec_IntSize(pVar->vParts)) && (((pPart) = Llb_MgrPart(p, Vec_IntEntry(pVar->vParts,i))), 1); i++ )
+
+// statistics
+int timeBuild, timeAndEx, timeOther;
+int nSuppMax;
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Removes one variable.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinRemoveVar( Llb_Mgr_t * p, Llb_Var_t * pVar )
+{
+ assert( p->pVars[pVar->iVar] == pVar );
+ p->pVars[pVar->iVar] = NULL;
+ Vec_IntFree( pVar->vParts );
+ ABC_FREE( pVar );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Removes one partition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinRemovePart( Llb_Mgr_t * p, Llb_Prt_t * pPart )
+{
+ assert( p->pParts[pPart->iPart] == pPart );
+ p->pParts[pPart->iPart] = NULL;
+ Vec_IntFree( pPart->vVars );
+ Cudd_RecursiveDeref( p->dd, pPart->bFunc );
+ ABC_FREE( pPart );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create cube with singleton variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Llb_NonlinCreateCube1( Llb_Mgr_t * p, Llb_Prt_t * pPart )
+{
+ DdNode * bCube, * bTemp;
+ Llb_Var_t * pVar;
+ int i, TimeStop;
+ TimeStop = p->dd->TimeStop; p->dd->TimeStop = 0;
+ bCube = Cudd_ReadOne(p->dd); Cudd_Ref( bCube );
+ Llb_PartForEachVar( p, pPart, pVar, i )
+ {
+ assert( Vec_IntSize(pVar->vParts) > 0 );
+ if ( Vec_IntSize(pVar->vParts) != 1 )
+ continue;
+ assert( Vec_IntEntry(pVar->vParts, 0) == pPart->iPart );
+ bCube = Cudd_bddAnd( p->dd, bTemp = bCube, Cudd_bddIthVar(p->dd, pVar->iVar) ); Cudd_Ref( bCube );
+ Cudd_RecursiveDeref( p->dd, bTemp );
+ }
+ Cudd_Deref( bCube );
+ p->dd->TimeStop = TimeStop;
+ return bCube;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Create cube of variables appearing only in two partitions.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Llb_NonlinCreateCube2( Llb_Mgr_t * p, Llb_Prt_t * pPart1, Llb_Prt_t * pPart2 )
+{
+ DdNode * bCube, * bTemp;
+ Llb_Var_t * pVar;
+ int i, TimeStop;
+ TimeStop = p->dd->TimeStop; p->dd->TimeStop = 0;
+ bCube = Cudd_ReadOne(p->dd); Cudd_Ref( bCube );
+ Llb_PartForEachVar( p, pPart1, pVar, i )
+ {
+ assert( Vec_IntSize(pVar->vParts) > 0 );
+ if ( Vec_IntSize(pVar->vParts) != 2 )
+ continue;
+ if ( (Vec_IntEntry(pVar->vParts, 0) == pPart1->iPart && Vec_IntEntry(pVar->vParts, 1) == pPart2->iPart) ||
+ (Vec_IntEntry(pVar->vParts, 0) == pPart2->iPart && Vec_IntEntry(pVar->vParts, 1) == pPart1->iPart) )
+ {
+ bCube = Cudd_bddAnd( p->dd, bTemp = bCube, Cudd_bddIthVar(p->dd, pVar->iVar) ); Cudd_Ref( bCube );
+ Cudd_RecursiveDeref( p->dd, bTemp );
+ }
+ }
+ Cudd_Deref( bCube );
+ p->dd->TimeStop = TimeStop;
+ return bCube;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if partition has singleton variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Llb_NonlinHasSingletonVars( Llb_Mgr_t * p, Llb_Prt_t * pPart )
+{
+ Llb_Var_t * pVar;
+ int i;
+ Llb_PartForEachVar( p, pPart, pVar, i )
+ if ( Vec_IntSize(pVar->vParts) == 1 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if partition has singleton variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinPrint( Llb_Mgr_t * p )
+{
+ Llb_Prt_t * pPart;
+ Llb_Var_t * pVar;
+ int i, k;
+ printf( "\n" );
+ Llb_MgrForEachVar( p, pVar, i )
+ {
+ printf( "Var %3d : ", i );
+ Llb_VarForEachPart( p, pVar, pPart, k )
+ printf( "%d ", pPart->iPart );
+ printf( "\n" );
+ }
+ Llb_MgrForEachPart( p, pPart, i )
+ {
+ printf( "Part %3d : ", i );
+ Llb_PartForEachVar( p, pPart, pVar, k )
+ printf( "%d ", pVar->iVar );
+ printf( "\n" );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Quantifies singles belonging to one partition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Llb_NonlinQuantify1( Llb_Mgr_t * p, Llb_Prt_t * pPart, int fSubset )
+{
+ Llb_Var_t * pVar;
+ Llb_Prt_t * pTemp;
+ Vec_Ptr_t * vSingles;
+ DdNode * bCube, * bTemp;
+ int i, RetValue, nSizeNew;
+ if ( fSubset )
+ {
+ int Length;
+// int nSuppSize = Cudd_SupportSize( p->dd, pPart->bFunc );
+// pPart->bFunc = Cudd_SubsetHeavyBranch( p->dd, bTemp = pPart->bFunc, nSuppSize, 3*pPart->nSize/4 ); Cudd_Ref( pPart->bFunc );
+ pPart->bFunc = Cudd_LargestCube( p->dd, bTemp = pPart->bFunc, &Length ); Cudd_Ref( pPart->bFunc );
+
+ printf( "Subsetting %3d : ", pPart->iPart );
+ printf( "(Supp =%3d Node =%5d) -> ", Cudd_SupportSize(p->dd, bTemp), Cudd_DagSize(bTemp) );
+ printf( "(Supp =%3d Node =%5d)\n", Cudd_SupportSize(p->dd, pPart->bFunc), Cudd_DagSize(pPart->bFunc) );
+
+ RetValue = (Cudd_DagSize(bTemp) == Cudd_DagSize(pPart->bFunc));
+
+ Cudd_RecursiveDeref( p->dd, bTemp );
+
+ if ( RetValue )
+ return 1;
+ }
+ else
+ {
+ // create cube to be quantified
+ bCube = Llb_NonlinCreateCube1( p, pPart ); Cudd_Ref( bCube );
+// assert( !Cudd_IsConstant(bCube) );
+ // derive new function
+ pPart->bFunc = Cudd_bddExistAbstract( p->dd, bTemp = pPart->bFunc, bCube ); Cudd_Ref( pPart->bFunc );
+ Cudd_RecursiveDeref( p->dd, bTemp );
+ Cudd_RecursiveDeref( p->dd, bCube );
+ }
+ // get support
+ vSingles = Vec_PtrAlloc( 0 );
+ nSizeNew = Cudd_DagSize(pPart->bFunc);
+ Extra_SupportArray( p->dd, pPart->bFunc, p->pSupp );
+ Llb_PartForEachVar( p, pPart, pVar, i )
+ if ( p->pSupp[pVar->iVar] )
+ {
+ assert( Vec_IntSize(pVar->vParts) > 1 );
+ pVar->nScore -= pPart->nSize - nSizeNew;
+ }
+ else
+ {
+ RetValue = Vec_IntRemove( pVar->vParts, pPart->iPart );
+ assert( RetValue );
+ pVar->nScore -= pPart->nSize;
+ if ( Vec_IntSize(pVar->vParts) == 0 )
+ Llb_NonlinRemoveVar( p, pVar );
+ else if ( Vec_IntSize(pVar->vParts) == 1 )
+ Vec_PtrPushUnique( vSingles, Llb_MgrPart(p, Vec_IntEntry(pVar->vParts,0)) );
+ }
+
+ // update partition
+ pPart->nSize = nSizeNew;
+ Vec_IntClear( pPart->vVars );
+ for ( i = 0; i < p->nVars; i++ )
+ if ( p->pSupp[i] && p->pVars2Q[i] )
+ Vec_IntPush( pPart->vVars, i );
+ // remove other variables
+ Vec_PtrForEachEntry( Llb_Prt_t *, vSingles, pTemp, i )
+ Llb_NonlinQuantify1( p, pTemp, 0 );
+ Vec_PtrFree( vSingles );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Quantifies singles belonging to one partition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Llb_NonlinQuantify2( Llb_Mgr_t * p, Llb_Prt_t * pPart1, Llb_Prt_t * pPart2, int Limit, int TimeOut )
+{
+ int fVerbose = 0;
+ Llb_Var_t * pVar;
+ Llb_Prt_t * pTemp;
+ Vec_Ptr_t * vSingles;
+ DdNode * bCube, * bFunc;
+ int i, RetValue, nSuppSize;
+ int iPart1 = pPart1->iPart;
+ int iPart2 = pPart2->iPart;
+
+ // create cube to be quantified
+ bCube = Llb_NonlinCreateCube2( p, pPart1, pPart2 ); Cudd_Ref( bCube );
+if ( fVerbose )
+{
+printf( "\n" );
+printf( "\n" );
+Llb_NonlinPrint( p );
+printf( "Conjoining partitions %d and %d.\n", pPart1->iPart, pPart2->iPart );
+Extra_bddPrintSupport( p->dd, bCube ); printf( "\n" );
+}
+
+ // derive new function
+// bFunc = Cudd_bddAndAbstract( p->dd, pPart1->bFunc, pPart2->bFunc, bCube ); Cudd_Ref( bFunc );
+/*
+ bFunc = Cudd_bddAndAbstractLimit( p->dd, pPart1->bFunc, pPart2->bFunc, bCube, Limit );
+ if ( bFunc == NULL )
+ {
+ int RetValue;
+ Cudd_RecursiveDeref( p->dd, bCube );
+ if ( pPart1->nSize < pPart2->nSize )
+ RetValue = Llb_NonlinQuantify1( p, pPart1, 1 );
+ else
+ RetValue = Llb_NonlinQuantify1( p, pPart2, 1 );
+ if ( RetValue )
+ Limit = Limit + 1000;
+ Llb_NonlinQuantify2( p, pPart1, pPart2, Limit, TimeOut );
+ return 0;
+ }
+ Cudd_Ref( bFunc );
+*/
+
+// bFunc = Extra_bddAndAbstractTime( p->dd, pPart1->bFunc, pPart2->bFunc, bCube, TimeOut );
+ bFunc = Cudd_bddAndAbstract( p->dd, pPart1->bFunc, pPart2->bFunc, bCube );
+ if ( bFunc == NULL )
+ {
+ Cudd_RecursiveDeref( p->dd, bCube );
+ return 0;
+ }
+ Cudd_Ref( bFunc );
+ Cudd_RecursiveDeref( p->dd, bCube );
+
+ // create new partition
+ pTemp = p->pParts[p->iPartFree] = ABC_CALLOC( Llb_Prt_t, 1 );
+ pTemp->iPart = p->iPartFree++;
+ pTemp->nSize = Cudd_DagSize(bFunc);
+ pTemp->bFunc = bFunc;
+ pTemp->vVars = Vec_IntAlloc( 8 );
+ // update variables
+ Llb_PartForEachVar( p, pPart1, pVar, i )
+ {
+ RetValue = Vec_IntRemove( pVar->vParts, pPart1->iPart );
+ assert( RetValue );
+ pVar->nScore -= pPart1->nSize;
+ }
+ // update variables
+ Llb_PartForEachVar( p, pPart2, pVar, i )
+ {
+ RetValue = Vec_IntRemove( pVar->vParts, pPart2->iPart );
+ assert( RetValue );
+ pVar->nScore -= pPart2->nSize;
+ }
+ // add variables to the new partition
+ nSuppSize = 0;
+ Extra_SupportArray( p->dd, bFunc, p->pSupp );
+ for ( i = 0; i < p->nVars; i++ )
+ {
+ nSuppSize += p->pSupp[i];
+ if ( p->pSupp[i] && p->pVars2Q[i] )
+ {
+ pVar = Llb_MgrVar( p, i );
+ pVar->nScore += pTemp->nSize;
+ Vec_IntPush( pVar->vParts, pTemp->iPart );
+ Vec_IntPush( pTemp->vVars, i );
+ }
+ }
+ p->nSuppMax = Abc_MaxInt( p->nSuppMax, nSuppSize );
+ // remove variables and collect partitions with singleton variables
+ vSingles = Vec_PtrAlloc( 0 );
+ Llb_PartForEachVar( p, pPart1, pVar, i )
+ {
+ if ( Vec_IntSize(pVar->vParts) == 0 )
+ Llb_NonlinRemoveVar( p, pVar );
+ else if ( Vec_IntSize(pVar->vParts) == 1 )
+ {
+ if ( fVerbose )
+ printf( "Adding partition %d because of var %d.\n",
+ Llb_MgrPart(p, Vec_IntEntry(pVar->vParts,0))->iPart, pVar->iVar );
+ Vec_PtrPushUnique( vSingles, Llb_MgrPart(p, Vec_IntEntry(pVar->vParts,0)) );
+ }
+ }
+ Llb_PartForEachVar( p, pPart2, pVar, i )
+ {
+ if ( pVar == NULL )
+ continue;
+ if ( Vec_IntSize(pVar->vParts) == 0 )
+ Llb_NonlinRemoveVar( p, pVar );
+ else if ( Vec_IntSize(pVar->vParts) == 1 )
+ {
+ if ( fVerbose )
+ printf( "Adding partition %d because of var %d.\n",
+ Llb_MgrPart(p, Vec_IntEntry(pVar->vParts,0))->iPart, pVar->iVar );
+ Vec_PtrPushUnique( vSingles, Llb_MgrPart(p, Vec_IntEntry(pVar->vParts,0)) );
+ }
+ }
+ // remove partitions
+ Llb_NonlinRemovePart( p, pPart1 );
+ Llb_NonlinRemovePart( p, pPart2 );
+ // remove other variables
+if ( fVerbose )
+Llb_NonlinPrint( p );
+ Vec_PtrForEachEntry( Llb_Prt_t *, vSingles, pTemp, i )
+ {
+if ( fVerbose )
+printf( "Updating partitiong %d with singlton vars.\n", pTemp->iPart );
+ Llb_NonlinQuantify1( p, pTemp, 0 );
+ }
+if ( fVerbose )
+Llb_NonlinPrint( p );
+ Vec_PtrFree( vSingles );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes volume of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinCutNodes_rec( Aig_Man_t * p, Aig_Obj_t * pObj, Vec_Ptr_t * vNodes )
+{
+ if ( Aig_ObjIsTravIdCurrent(p, pObj) )
+ return;
+ Aig_ObjSetTravIdCurrent(p, pObj);
+ if ( Saig_ObjIsLi(p, pObj) )
+ {
+ Llb_NonlinCutNodes_rec(p, Aig_ObjFanin0(pObj), vNodes);
+ return;
+ }
+ if ( Aig_ObjIsConst1(pObj) )
+ return;
+ assert( Aig_ObjIsNode(pObj) );
+ Llb_NonlinCutNodes_rec(p, Aig_ObjFanin0(pObj), vNodes);
+ Llb_NonlinCutNodes_rec(p, Aig_ObjFanin1(pObj), vNodes);
+ Vec_PtrPush( vNodes, pObj );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes volume of the cut.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Llb_NonlinCutNodes( Aig_Man_t * p, Vec_Ptr_t * vLower, Vec_Ptr_t * vUpper )
+{
+ Vec_Ptr_t * vNodes;
+ Aig_Obj_t * pObj;
+ int i;
+ // mark the lower cut with the traversal ID
+ Aig_ManIncrementTravId(p);
+ Vec_PtrForEachEntry( Aig_Obj_t *, vLower, pObj, i )
+ Aig_ObjSetTravIdCurrent( p, pObj );
+ // count the upper cut
+ vNodes = Vec_PtrAlloc( 100 );
+ Vec_PtrForEachEntry( Aig_Obj_t *, vUpper, pObj, i )
+ Llb_NonlinCutNodes_rec( p, pObj, vNodes );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns array of BDDs for the roots in terms of the leaves.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Ptr_t * Llb_NonlinBuildBdds( Aig_Man_t * p, Vec_Ptr_t * vLower, Vec_Ptr_t * vUpper, DdManager * dd, int TimeOut )
+{
+ Vec_Ptr_t * vNodes, * vResult;
+ Aig_Obj_t * pObj;
+ DdNode * bBdd0, * bBdd1, * bProd;
+ int i, k;
+
+ Aig_ManConst1(p)->pData = Cudd_ReadOne( dd );
+ Vec_PtrForEachEntry( Aig_Obj_t *, vLower, pObj, i )
+ pObj->pData = Cudd_bddIthVar( dd, Aig_ObjId(pObj) );
+
+ vNodes = Llb_NonlinCutNodes( p, vLower, vUpper );
+ Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, i )
+ {
+ bBdd0 = Cudd_NotCond( (DdNode *)Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
+ bBdd1 = Cudd_NotCond( (DdNode *)Aig_ObjFanin1(pObj)->pData, Aig_ObjFaninC1(pObj) );
+// pObj->pData = Extra_bddAndTime( dd, bBdd0, bBdd1, TimeOut );
+ pObj->pData = Cudd_bddAnd( dd, bBdd0, bBdd1 );
+ if ( pObj->pData == NULL )
+ {
+ Vec_PtrForEachEntryStop( Aig_Obj_t *, vNodes, pObj, k, i )
+ if ( pObj->pData )
+ Cudd_RecursiveDeref( dd, (DdNode *)pObj->pData );
+ Vec_PtrFree( vNodes );
+ return NULL;
+ }
+ Cudd_Ref( (DdNode *)pObj->pData );
+ }
+
+ vResult = Vec_PtrAlloc( 100 );
+ Vec_PtrForEachEntry( Aig_Obj_t *, vUpper, pObj, i )
+ {
+ if ( Aig_ObjIsNode(pObj) )
+ {
+ bProd = Cudd_bddXnor( dd, Cudd_bddIthVar(dd, Aig_ObjId(pObj)), (DdNode *)pObj->pData ); Cudd_Ref( bProd );
+ }
+ else
+ {
+ assert( Saig_ObjIsLi(p, pObj) );
+ bBdd0 = Cudd_NotCond( (DdNode *)Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
+ bProd = Cudd_bddXnor( dd, Cudd_bddIthVar(dd, Aig_ObjId(pObj)), bBdd0 ); Cudd_Ref( bProd );
+ }
+ Vec_PtrPush( vResult, bProd );
+ }
+ Vec_PtrForEachEntry( Aig_Obj_t *, vNodes, pObj, i )
+ Cudd_RecursiveDeref( dd, (DdNode *)pObj->pData );
+
+ Vec_PtrFree( vNodes );
+ return vResult;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts non-linear quantification scheduling.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinAddPair( Llb_Mgr_t * p, DdNode * bFunc, int iPart, int iVar )
+{
+ if ( p->pVars[iVar] == NULL )
+ {
+ p->pVars[iVar] = ABC_CALLOC( Llb_Var_t, 1 );
+ p->pVars[iVar]->iVar = iVar;
+ p->pVars[iVar]->nScore = 0;
+ p->pVars[iVar]->vParts = Vec_IntAlloc( 8 );
+ }
+ Vec_IntPush( p->pVars[iVar]->vParts, iPart );
+ Vec_IntPush( p->pParts[iPart]->vVars, iVar );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts non-linear quantification scheduling.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinAddPartition( Llb_Mgr_t * p, int i, DdNode * bFunc )
+{
+ int k, nSuppSize;
+ assert( !Cudd_IsConstant(bFunc) );
+ // create partition
+ p->pParts[i] = ABC_CALLOC( Llb_Prt_t, 1 );
+ p->pParts[i]->iPart = i;
+ p->pParts[i]->bFunc = bFunc;
+ p->pParts[i]->vVars = Vec_IntAlloc( 8 );
+ // add support dependencies
+ nSuppSize = 0;
+ Extra_SupportArray( p->dd, bFunc, p->pSupp );
+ for ( k = 0; k < p->nVars; k++ )
+ {
+ nSuppSize += p->pSupp[k];
+ if ( p->pSupp[k] && p->pVars2Q[k] )
+ Llb_NonlinAddPair( p, bFunc, i, k );
+ }
+ p->nSuppMax = Abc_MaxInt( p->nSuppMax, nSuppSize );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts non-linear quantification scheduling.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Llb_NonlinStart( Llb_Mgr_t * p, int TimeOut )
+{
+ Vec_Ptr_t * vRootBdds;
+ DdNode * bFunc;
+ int i;
+ // create and collect BDDs
+ vRootBdds = Llb_NonlinBuildBdds( p->pAig, p->vLeaves, p->vRoots, p->dd, TimeOut ); // come referenced
+ if ( vRootBdds == NULL )
+ return 0;
+ // add pairs (refs are consumed inside)
+ Vec_PtrForEachEntry( DdNode *, vRootBdds, bFunc, i )
+ Llb_NonlinAddPartition( p, i, bFunc );
+ Vec_PtrFree( vRootBdds );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Checks that each var appears in at least one partition.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+**********************************************************************/
+void Llb_NonlinCheckVars( Llb_Mgr_t * p )
+{
+ Llb_Var_t * pVar;
+ int i;
+ Llb_MgrForEachVar( p, pVar, i )
+ assert( Vec_IntSize(pVar->vParts) > 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Find next partition to quantify]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Llb_NonlinNextPartitions( Llb_Mgr_t * p, Llb_Prt_t ** ppPart1, Llb_Prt_t ** ppPart2 )
+{
+ Llb_Var_t * pVar, * pVarBest = NULL;
+ Llb_Prt_t * pPart, * pPart1Best = NULL, * pPart2Best = NULL;
+ int i;
+ Llb_NonlinCheckVars( p );
+ // find variable with minimum score
+ Llb_MgrForEachVar( p, pVar, i )
+ if ( pVarBest == NULL || pVarBest->nScore > pVar->nScore )
+ pVarBest = pVar;
+ if ( pVarBest == NULL )
+ return 0;
+ // find two partitions with minimum size
+ Llb_VarForEachPart( p, pVarBest, pPart, i )
+ {
+ if ( pPart1Best == NULL )
+ pPart1Best = pPart;
+ else if ( pPart2Best == NULL )
+ pPart2Best = pPart;
+ else if ( pPart1Best->nSize > pPart->nSize || pPart2Best->nSize > pPart->nSize )
+ {
+ if ( pPart1Best->nSize > pPart2Best->nSize )
+ pPart1Best = pPart;
+ else
+ pPart2Best = pPart;
+ }
+ }
+ *ppPart1 = pPart1Best;
+ *ppPart2 = pPart2Best;
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reorders BDDs in the working manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinReorder( DdManager * dd, int fTwice, int fVerbose )
+{
+ int clk = clock();
+ if ( fVerbose )
+ Abc_Print( 1, "Reordering... Before =%5d. ", Cudd_ReadKeys(dd) - Cudd_ReadDead(dd) );
+ Cudd_ReduceHeap( dd, CUDD_REORDER_SYMM_SIFT, 100 );
+ if ( fVerbose )
+ Abc_Print( 1, "After =%5d. ", Cudd_ReadKeys(dd) - Cudd_ReadDead(dd) );
+ if ( fTwice )
+ {
+ Cudd_ReduceHeap( dd, CUDD_REORDER_SYMM_SIFT, 100 );
+ if ( fVerbose )
+ Abc_Print( 1, "After =%5d. ", Cudd_ReadKeys(dd) - Cudd_ReadDead(dd) );
+ }
+ if ( fVerbose )
+ Abc_PrintTime( 1, "Time", clock() - clk );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recomputes scores after variable reordering.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinRecomputeScores( Llb_Mgr_t * p )
+{
+ Llb_Prt_t * pPart;
+ Llb_Var_t * pVar;
+ int i, k;
+ Llb_MgrForEachPart( p, pPart, i )
+ pPart->nSize = Cudd_DagSize(pPart->bFunc);
+ Llb_MgrForEachVar( p, pVar, i )
+ {
+ pVar->nScore = 0;
+ Llb_VarForEachPart( p, pVar, pPart, k )
+ pVar->nScore += pPart->nSize;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recomputes scores after variable reordering.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinVerifyScores( Llb_Mgr_t * p )
+{
+ Llb_Prt_t * pPart;
+ Llb_Var_t * pVar;
+ int i, k, nScore;
+ Llb_MgrForEachPart( p, pPart, i )
+ assert( pPart->nSize == Cudd_DagSize(pPart->bFunc) );
+ Llb_MgrForEachVar( p, pVar, i )
+ {
+ nScore = 0;
+ Llb_VarForEachPart( p, pVar, pPart, k )
+ nScore += pPart->nSize;
+ assert( nScore == pVar->nScore );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Starts non-linear quantification scheduling.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Llb_Mgr_t * Llb_NonlinAlloc( Aig_Man_t * pAig, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vRoots, int * pVars2Q, DdManager * dd )
+{
+ Llb_Mgr_t * p;
+ p = ABC_CALLOC( Llb_Mgr_t, 1 );
+ p->pAig = pAig;
+ p->vLeaves = vLeaves;
+ p->vRoots = vRoots;
+ p->dd = dd;
+ p->pVars2Q = pVars2Q;
+ p->nVars = Cudd_ReadSize(dd);
+ p->iPartFree = Vec_PtrSize(vRoots);
+ p->pVars = ABC_CALLOC( Llb_Var_t *, p->nVars );
+ p->pParts = ABC_CALLOC( Llb_Prt_t *, 2 * p->iPartFree + 2 );
+ p->pSupp = ABC_ALLOC( int, Cudd_ReadSize(dd) );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Stops non-linear quantification scheduling.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinFree( Llb_Mgr_t * p )
+{
+ Llb_Prt_t * pPart;
+ Llb_Var_t * pVar;
+ int i;
+ Llb_MgrForEachVar( p, pVar, i )
+ Llb_NonlinRemoveVar( p, pVar );
+ Llb_MgrForEachPart( p, pPart, i )
+ Llb_NonlinRemovePart( p, pPart );
+ ABC_FREE( p->pVars );
+ ABC_FREE( p->pParts );
+ ABC_FREE( p->pSupp );
+ ABC_FREE( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs image computation.]
+
+ Description [Computes image of BDDs (vFuncs).]
+
+ SideEffects [BDDs in vFuncs are derefed inside. The result is refed.]
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Llb_NonlinImage( Aig_Man_t * pAig, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vRoots, int * pVars2Q,
+ DdManager * dd, DdNode * bCurrent, int fReorder, int fVerbose, int * pOrder, int Limit, int TimeOut )
+{
+ Llb_Prt_t * pPart, * pPart1, * pPart2;
+ Llb_Mgr_t * p;
+ DdNode * bFunc, * bTemp;
+ int i, nReorders, timeInside;
+ int clk = clock(), clk2;
+ // start the manager
+ clk2 = clock();
+ p = Llb_NonlinAlloc( pAig, vLeaves, vRoots, pVars2Q, dd );
+ if ( !Llb_NonlinStart( p, TimeOut ) )
+ {
+ Llb_NonlinFree( p );
+ return NULL;
+ }
+ // add partition
+ Llb_NonlinAddPartition( p, p->iPartFree++, bCurrent );
+ // remove singles
+ Llb_MgrForEachPart( p, pPart, i )
+ if ( Llb_NonlinHasSingletonVars(p, pPart) )
+ Llb_NonlinQuantify1( p, pPart, 0 );
+ timeBuild += clock() - clk2;
+ timeInside = clock() - clk2;
+ // compute scores
+ Llb_NonlinRecomputeScores( p );
+ // save permutation
+ if ( pOrder )
+ memcpy( pOrder, dd->invperm, sizeof(int) * dd->size );
+ // iteratively quantify variables
+ while ( Llb_NonlinNextPartitions(p, &pPart1, &pPart2) )
+ {
+ clk2 = clock();
+ nReorders = Cudd_ReadReorderings(dd);
+ if ( !Llb_NonlinQuantify2( p, pPart1, pPart2, Limit, TimeOut ) )
+ {
+ Llb_NonlinFree( p );
+ return NULL;
+ }
+ timeAndEx += clock() - clk2;
+ timeInside += clock() - clk2;
+ if ( nReorders < Cudd_ReadReorderings(dd) )
+ Llb_NonlinRecomputeScores( p );
+// else
+// Llb_NonlinVerifyScores( p );
+ }
+ // load partitions
+ bFunc = Cudd_ReadOne(p->dd); Cudd_Ref( bFunc );
+ Llb_MgrForEachPart( p, pPart, i )
+ {
+ bFunc = Cudd_bddAnd( p->dd, bTemp = bFunc, pPart->bFunc ); Cudd_Ref( bFunc );
+ Cudd_RecursiveDeref( p->dd, bTemp );
+ }
+ nSuppMax = p->nSuppMax;
+ Llb_NonlinFree( p );
+ // reorder variables
+ if ( fReorder )
+ Llb_NonlinReorder( dd, 0, fVerbose );
+ timeOther += clock() - clk - timeInside;
+ // return
+ Cudd_Deref( bFunc );
+ return bFunc;
+}
+
+
+
+static Llb_Mgr_t * p = NULL;
+
+/**Function*************************************************************
+
+ Synopsis [Starts image computation manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdManager * Llb_NonlinImageStart( Aig_Man_t * pAig, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vRoots, int * pVars2Q, int * pOrder, int fFirst, int TimeTarget )
+{
+ DdManager * dd;
+ int clk = clock();
+ assert( p == NULL );
+ // start a new manager (disable reordering)
+ dd = Cudd_Init( Aig_ManObjNumMax(pAig), 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
+ dd->TimeStop = TimeTarget;
+ Cudd_ShuffleHeap( dd, pOrder );
+// if ( fFirst )
+ Cudd_AutodynEnable( dd, CUDD_REORDER_SYMM_SIFT );
+ // start the manager
+ p = Llb_NonlinAlloc( pAig, vLeaves, vRoots, pVars2Q, dd );
+ if ( !Llb_NonlinStart( p, 0 ) )
+ {
+ Llb_NonlinFree( p );
+ p = NULL;
+ return NULL;
+ }
+ timeBuild += clock() - clk;
+// if ( !fFirst )
+// Cudd_AutodynEnable( dd, CUDD_REORDER_SYMM_SIFT );
+ return dd;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Performs image computation.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+DdNode * Llb_NonlinImageCompute( DdNode * bCurrent, int fReorder, int fDrop, int fVerbose, int * pOrder )
+{
+ Llb_Prt_t * pPart, * pPart1, * pPart2;
+ DdNode * bFunc, * bTemp;
+ int i, nReorders, timeInside = 0;
+ int clk = clock(), clk2;
+
+ // add partition
+ Llb_NonlinAddPartition( p, p->iPartFree++, bCurrent );
+ // remove singles
+ Llb_MgrForEachPart( p, pPart, i )
+ if ( Llb_NonlinHasSingletonVars(p, pPart) )
+ Llb_NonlinQuantify1( p, pPart, 0 );
+ // reorder
+ if ( fReorder )
+ Llb_NonlinReorder( p->dd, 0, 0 );
+ // save permutation
+ memcpy( pOrder, p->dd->invperm, sizeof(int) * p->dd->size );
+
+ // compute scores
+ Llb_NonlinRecomputeScores( p );
+ // iteratively quantify variables
+ while ( Llb_NonlinNextPartitions(p, &pPart1, &pPart2) )
+ {
+ clk2 = clock();
+ nReorders = Cudd_ReadReorderings(p->dd);
+ if ( !Llb_NonlinQuantify2( p, pPart1, pPart2, 0, 0 ) )
+ {
+ Llb_NonlinFree( p );
+ return NULL;
+ }
+ timeAndEx += clock() - clk2;
+ timeInside += clock() - clk2;
+ if ( nReorders < Cudd_ReadReorderings(p->dd) )
+ Llb_NonlinRecomputeScores( p );
+// else
+// Llb_NonlinVerifyScores( p );
+ }
+ // load partitions
+ bFunc = Cudd_ReadOne(p->dd); Cudd_Ref( bFunc );
+ Llb_MgrForEachPart( p, pPart, i )
+ {
+ bFunc = Cudd_bddAnd( p->dd, bTemp = bFunc, pPart->bFunc );
+ if ( bFunc == NULL )
+ {
+ Cudd_RecursiveDeref( p->dd, bTemp );
+ Llb_NonlinFree( p );
+ return NULL;
+ }
+ Cudd_Ref( bFunc );
+ Cudd_RecursiveDeref( p->dd, bTemp );
+ }
+ nSuppMax = p->nSuppMax;
+ // reorder variables
+// if ( fReorder )
+// Llb_NonlinReorder( p->dd, 0, fVerbose );
+ // save permutation
+// memcpy( pOrder, p->dd->invperm, sizeof(int) * Cudd_ReadSize(p->dd) );
+
+ timeOther += clock() - clk - timeInside;
+ // return
+ Cudd_Deref( bFunc );
+ return bFunc;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Quits image computation manager.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Llb_NonlinImageQuit()
+{
+ DdManager * dd;
+ if ( p == NULL )
+ return;
+ dd = p->dd;
+ Llb_NonlinFree( p );
+ if ( dd->bFunc )
+ Cudd_RecursiveDeref( dd, dd->bFunc );
+ Extra_StopManager( dd );
+// Cudd_Quit ( dd );
+ p = NULL;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
+ABC_NAMESPACE_IMPL_END
+