/**CFile**************************************************************** FileName [kitBdd.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [Computation kit.] Synopsis [Procedures involving BDDs.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - Dec 6, 2006.] Revision [$Id: kitBdd.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $] ***********************************************************************/ #include "kit.h" #include "misc/extra/extraBdd.h" ABC_NAMESPACE_IMPL_START //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Derives the BDD for the given SOP.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ DdNode * Kit_SopToBdd( DdManager * dd, Kit_Sop_t * cSop, int nVars ) { DdNode * bSum, * bCube, * bTemp, * bVar; unsigned uCube; int Value, i, v; assert( nVars < 16 ); // start the cover bSum = Cudd_ReadLogicZero(dd); Cudd_Ref( bSum ); // check the logic function of the node Kit_SopForEachCube( cSop, uCube, i ) { bCube = Cudd_ReadOne(dd); Cudd_Ref( bCube ); for ( v = 0; v < nVars; v++ ) { Value = ((uCube >> 2*v) & 3); if ( Value == 1 ) bVar = Cudd_Not( Cudd_bddIthVar( dd, v ) ); else if ( Value == 2 ) bVar = Cudd_bddIthVar( dd, v ); else continue; bCube = Cudd_bddAnd( dd, bTemp = bCube, bVar ); Cudd_Ref( bCube ); Cudd_RecursiveDeref( dd, bTemp ); } bSum = Cudd_bddOr( dd, bTemp = bSum, bCube ); Cudd_Ref( bSum ); Cudd_RecursiveDeref( dd, bTemp ); Cudd_RecursiveDeref( dd, bCube ); } // complement the result if necessary Cudd_Deref( bSum ); return bSum; } /**Function************************************************************* Synopsis [Converts graph to BDD.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ DdNode * Kit_GraphToBdd( DdManager * dd, Kit_Graph_t * pGraph ) { DdNode * bFunc, * bFunc0, * bFunc1; Kit_Node_t * pNode = NULL; // Suppress "might be used uninitialized" int i; // sanity checks assert( Kit_GraphLeaveNum(pGraph) >= 0 ); assert( Kit_GraphLeaveNum(pGraph) <= pGraph->nSize ); // check for constant function if ( Kit_GraphIsConst(pGraph) ) return Cudd_NotCond( b1, Kit_GraphIsComplement(pGraph) ); // check for a literal if ( Kit_GraphIsVar(pGraph) ) return Cudd_NotCond( Cudd_bddIthVar(dd, Kit_GraphVarInt(pGraph)), Kit_GraphIsComplement(pGraph) ); // assign the elementary variables Kit_GraphForEachLeaf( pGraph, pNode, i ) pNode->pFunc = Cudd_bddIthVar( dd, i ); // compute the function for each internal node Kit_GraphForEachNode( pGraph, pNode, i ) { bFunc0 = Cudd_NotCond( Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl ); bFunc1 = Cudd_NotCond( Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl ); pNode->pFunc = Cudd_bddAnd( dd, bFunc0, bFunc1 ); Cudd_Ref( (DdNode *)pNode->pFunc ); } // deref the intermediate results bFunc = (DdNode *)pNode->pFunc; Cudd_Ref( bFunc ); Kit_GraphForEachNode( pGraph, pNode, i ) Cudd_RecursiveDeref( dd, (DdNode *)pNode->pFunc ); Cudd_Deref( bFunc ); // complement the result if necessary return Cudd_NotCond( bFunc, Kit_GraphIsComplement(pGraph) ); } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ DdNode * Kit_TruthToBdd_rec( DdManager * dd, unsigned * pTruth, int iBit, int nVars, int nVarsTotal, int fMSBonTop ) { DdNode * bF0, * bF1, * bF; int Var; if ( nVars <= 5 ) { unsigned uTruth, uMask; uMask = ((~(unsigned)0) >> (32 - (1<>5] >> (iBit&31)) & uMask; if ( uTruth == 0 ) return b0; if ( uTruth == uMask ) return b1; } // find the variable to use Var = fMSBonTop? nVarsTotal-nVars : nVars-1; // other special cases can be added bF0 = Kit_TruthToBdd_rec( dd, pTruth, iBit, nVars-1, nVarsTotal, fMSBonTop ); Cudd_Ref( bF0 ); bF1 = Kit_TruthToBdd_rec( dd, pTruth, iBit+(1<<(nVars-1)), nVars-1, nVarsTotal, fMSBonTop ); Cudd_Ref( bF1 ); bF = Cudd_bddIte( dd, dd->vars[Var], bF1, bF0 ); Cudd_Ref( bF ); Cudd_RecursiveDeref( dd, bF0 ); Cudd_RecursiveDeref( dd, bF1 ); Cudd_Deref( bF ); return bF; } /**Function************************************************************* Synopsis [Compute BDD corresponding to the truth table.] Description [If truth table has N vars, the BDD depends on N topmost variables of the BDD manager. The most significant variable of the table is encoded by the topmost variable of the manager. BDD construction is efficient in this case because BDD is constructed one node at a time, by simply adding BDD nodes on top of existent BDD nodes.] SideEffects [] SeeAlso [] ***********************************************************************/ DdNode * Kit_TruthToBdd( DdManager * dd, unsigned * pTruth, int nVars, int fMSBonTop ) { return Kit_TruthToBdd_rec( dd, pTruth, 0, nVars, nVars, fMSBonTop ); } /**Function************************************************************* Synopsis [Verifies that the factoring is correct.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ int Kit_SopFactorVerify( Vec_Int_t * vCover, Kit_Graph_t * pFForm, int nVars ) { static DdManager * dd = NULL; Kit_Sop_t Sop, * cSop = &Sop; DdNode * bFunc1, * bFunc2; Vec_Int_t * vMemory; int RetValue; // get the manager if ( dd == NULL ) dd = Cudd_Init( 16, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 ); // derive SOP vMemory = Vec_IntAlloc( Vec_IntSize(vCover) ); Kit_SopCreate( cSop, vCover, nVars, vMemory ); // get the functions bFunc1 = Kit_SopToBdd( dd, cSop, nVars ); Cudd_Ref( bFunc1 ); bFunc2 = Kit_GraphToBdd( dd, pFForm ); Cudd_Ref( bFunc2 ); //Extra_bddPrint( dd, bFunc1 ); printf("\n"); //Extra_bddPrint( dd, bFunc2 ); printf("\n"); RetValue = (bFunc1 == bFunc2); if ( bFunc1 != bFunc2 ) { int s; Extra_bddPrint( dd, bFunc1 ); printf("\n"); Extra_bddPrint( dd, bFunc2 ); printf("\n"); s = 0; } Cudd_RecursiveDeref( dd, bFunc1 ); Cudd_RecursiveDeref( dd, bFunc2 ); Vec_IntFree( vMemory ); return RetValue; } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// //////////////////////////////////////////////////////////////////////// ABC_NAMESPACE_IMPL_END