/**CFile**************************************************************** FileName [darOper.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [DAG-aware AIG rewriting.] Synopsis [AIG operations.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - April 28, 2007.] Revision [$Id: darOper.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $] ***********************************************************************/ #include "dar.h" //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// // procedure to detect an EXOR gate static inline int Dar_ObjIsExorType( Dar_Obj_t * p0, Dar_Obj_t * p1, Dar_Obj_t ** ppFan0, Dar_Obj_t ** ppFan1 ) { if ( !Dar_IsComplement(p0) || !Dar_IsComplement(p1) ) return 0; p0 = Dar_Regular(p0); p1 = Dar_Regular(p1); if ( !Dar_ObjIsAnd(p0) || !Dar_ObjIsAnd(p1) ) return 0; if ( Dar_ObjFanin0(p0) != Dar_ObjFanin0(p1) || Dar_ObjFanin1(p0) != Dar_ObjFanin1(p1) ) return 0; if ( Dar_ObjFaninC0(p0) == Dar_ObjFaninC0(p1) || Dar_ObjFaninC1(p0) == Dar_ObjFaninC1(p1) ) return 0; *ppFan0 = Dar_ObjChild0(p0); *ppFan1 = Dar_ObjChild1(p0); return 1; } //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Returns i-th elementary variable.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_IthVar( Dar_Man_t * p, int i ) { int v; for ( v = Dar_ManPiNum(p); v <= i; v++ ) Dar_ObjCreatePi( p ); assert( i < Vec_PtrSize(p->vPis) ); return Dar_ManPi( p, i ); } /**Function************************************************************* Synopsis [Perform one operation.] Description [The argument nodes can be complemented.] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Oper( Dar_Man_t * p, Dar_Obj_t * p0, Dar_Obj_t * p1, Dar_Type_t Type ) { if ( Type == DAR_AIG_AND ) return Dar_And( p, p0, p1 ); if ( Type == DAR_AIG_EXOR ) return Dar_Exor( p, p0, p1 ); assert( 0 ); return NULL; } /**Function************************************************************* Synopsis [Creates the canonical form of the node.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_CanonPair_rec( Dar_Man_t * p, Dar_Obj_t * pGhost ) { Dar_Obj_t * pResult, * pLat0, * pLat1; int fCompl0, fCompl1; Dar_Type_t Type; assert( Dar_ObjIsNode(pGhost) ); // consider the case when the pair is canonical if ( !Dar_ObjIsLatch(Dar_ObjFanin0(pGhost)) || !Dar_ObjIsLatch(Dar_ObjFanin1(pGhost)) ) { if ( pResult = Dar_TableLookup( p, pGhost ) ) return pResult; return Dar_ObjCreate( p, pGhost ); } /// remember the latches pLat0 = Dar_ObjFanin0(pGhost); pLat1 = Dar_ObjFanin1(pGhost); // remember type and compls Type = Dar_ObjType(pGhost); fCompl0 = Dar_ObjFaninC0(pGhost); fCompl1 = Dar_ObjFaninC1(pGhost); // call recursively pResult = Dar_Oper( p, Dar_NotCond(Dar_ObjChild0(pLat0), fCompl0), Dar_NotCond(Dar_ObjChild0(pLat1), fCompl1), Type ); // build latch on top of this return Dar_Latch( p, pResult, (Type == DAR_AIG_AND)? fCompl0 & fCompl1 : fCompl0 ^ fCompl1 ); } /**Function************************************************************* Synopsis [Performs canonicization step.] Description [The argument nodes can be complemented.] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_And( Dar_Man_t * p, Dar_Obj_t * p0, Dar_Obj_t * p1 ) { Dar_Obj_t * pGhost, * pResult; // Dar_Obj_t * pFan0, * pFan1; // check trivial cases if ( p0 == p1 ) return p0; if ( p0 == Dar_Not(p1) ) return Dar_Not(p->pConst1); if ( Dar_Regular(p0) == p->pConst1 ) return p0 == p->pConst1 ? p1 : Dar_Not(p->pConst1); if ( Dar_Regular(p1) == p->pConst1 ) return p1 == p->pConst1 ? p0 : Dar_Not(p->pConst1); // check if it can be an EXOR gate // if ( Dar_ObjIsExorType( p0, p1, &pFan0, &pFan1 ) ) // return Dar_Exor( p, pFan0, pFan1 ); pGhost = Dar_ObjCreateGhost( p, p0, p1, DAR_AIG_AND ); pResult = Dar_CanonPair_rec( p, pGhost ); return pResult; } /**Function************************************************************* Synopsis [Creates the canonical form of the node.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Latch( Dar_Man_t * p, Dar_Obj_t * pObj, int fInitOne ) { Dar_Obj_t * pGhost, * pResult; pGhost = Dar_ObjCreateGhost( p, Dar_NotCond(pObj, fInitOne), NULL, DAR_AIG_LATCH ); pResult = Dar_TableLookup( p, pGhost ); if ( pResult == NULL ) pResult = Dar_ObjCreate( p, pGhost ); return Dar_NotCond( pResult, fInitOne ); } /**Function************************************************************* Synopsis [Performs canonicization step.] Description [The argument nodes can be complemented.] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Exor( Dar_Man_t * p, Dar_Obj_t * p0, Dar_Obj_t * p1 ) { /* Dar_Obj_t * pGhost, * pResult; // check trivial cases if ( p0 == p1 ) return Dar_Not(p->pConst1); if ( p0 == Dar_Not(p1) ) return p->pConst1; if ( Dar_Regular(p0) == p->pConst1 ) return Dar_NotCond( p1, p0 == p->pConst1 ); if ( Dar_Regular(p1) == p->pConst1 ) return Dar_NotCond( p0, p1 == p->pConst1 ); // check the table pGhost = Dar_ObjCreateGhost( p, p0, p1, DAR_AIG_EXOR ); if ( pResult = Dar_TableLookup( p, pGhost ) ) return pResult; return Dar_ObjCreate( p, pGhost ); */ return Dar_Or( p, Dar_And(p, p0, Dar_Not(p1)), Dar_And(p, Dar_Not(p0), p1) ); } /**Function************************************************************* Synopsis [Implements Boolean OR.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Or( Dar_Man_t * p, Dar_Obj_t * p0, Dar_Obj_t * p1 ) { return Dar_Not( Dar_And( p, Dar_Not(p0), Dar_Not(p1) ) ); } /**Function************************************************************* Synopsis [Implements ITE operation.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Mux( Dar_Man_t * p, Dar_Obj_t * pC, Dar_Obj_t * p1, Dar_Obj_t * p0 ) { /* Dar_Obj_t * pTempA1, * pTempA2, * pTempB1, * pTempB2, * pTemp; int Count0, Count1; // consider trivial cases if ( p0 == Dar_Not(p1) ) return Dar_Exor( p, pC, p0 ); // other cases can be added // implement the first MUX (F = C * x1 + C' * x0) // check for constants here!!! pTempA1 = Dar_TableLookup( p, Dar_ObjCreateGhost(p, pC, p1, DAR_AIG_AND) ); pTempA2 = Dar_TableLookup( p, Dar_ObjCreateGhost(p, Dar_Not(pC), p0, DAR_AIG_AND) ); if ( pTempA1 && pTempA2 ) { pTemp = Dar_TableLookup( p, Dar_ObjCreateGhost(p, Dar_Not(pTempA1), Dar_Not(pTempA2), DAR_AIG_AND) ); if ( pTemp ) return Dar_Not(pTemp); } Count0 = (pTempA1 != NULL) + (pTempA2 != NULL); // implement the second MUX (F' = C * x1' + C' * x0') pTempB1 = Dar_TableLookup( p, Dar_ObjCreateGhost(p, pC, Dar_Not(p1), DAR_AIG_AND) ); pTempB2 = Dar_TableLookup( p, Dar_ObjCreateGhost(p, Dar_Not(pC), Dar_Not(p0), DAR_AIG_AND) ); if ( pTempB1 && pTempB2 ) { pTemp = Dar_TableLookup( p, Dar_ObjCreateGhost(p, Dar_Not(pTempB1), Dar_Not(pTempB2), DAR_AIG_AND) ); if ( pTemp ) return pTemp; } Count1 = (pTempB1 != NULL) + (pTempB2 != NULL); // compare and decide which one to implement if ( Count0 >= Count1 ) { pTempA1 = pTempA1? pTempA1 : Dar_And(p, pC, p1); pTempA2 = pTempA2? pTempA2 : Dar_And(p, Dar_Not(pC), p0); return Dar_Or( p, pTempA1, pTempA2 ); } pTempB1 = pTempB1? pTempB1 : Dar_And(p, pC, Dar_Not(p1)); pTempB2 = pTempB2? pTempB2 : Dar_And(p, Dar_Not(pC), Dar_Not(p0)); return Dar_Not( Dar_Or( p, pTempB1, pTempB2 ) ); */ return Dar_Or( p, Dar_And(p, pC, p1), Dar_And(p, Dar_Not(pC), p0) ); } /**Function************************************************************* Synopsis [Implements ITE operation.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Maj( Dar_Man_t * p, Dar_Obj_t * pA, Dar_Obj_t * pB, Dar_Obj_t * pC ) { return Dar_Or( p, Dar_Or(p, Dar_And(p, pA, pB), Dar_And(p, pA, pC)), Dar_And(p, pB, pC) ); } /**Function************************************************************* Synopsis [Constructs the well-balanced tree of gates.] Description [Disregards levels and possible logic sharing.] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Multi_rec( Dar_Man_t * p, Dar_Obj_t ** ppObjs, int nObjs, Dar_Type_t Type ) { Dar_Obj_t * pObj1, * pObj2; if ( nObjs == 1 ) return ppObjs[0]; pObj1 = Dar_Multi_rec( p, ppObjs, nObjs/2, Type ); pObj2 = Dar_Multi_rec( p, ppObjs + nObjs/2, nObjs - nObjs/2, Type ); return Dar_Oper( p, pObj1, pObj2, Type ); } /**Function************************************************************* Synopsis [Old code.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Multi( Dar_Man_t * p, Dar_Obj_t ** pArgs, int nArgs, Dar_Type_t Type ) { assert( Type == DAR_AIG_AND || Type == DAR_AIG_EXOR ); assert( nArgs > 0 ); return Dar_Multi_rec( p, pArgs, nArgs, Type ); } /**Function************************************************************* Synopsis [Implements the miter.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_Miter( Dar_Man_t * p, Vec_Ptr_t * vPairs ) { int i; assert( vPairs->nSize > 0 ); assert( vPairs->nSize % 2 == 0 ); // go through the cubes of the node's SOP for ( i = 0; i < vPairs->nSize; i += 2 ) vPairs->pArray[i/2] = Dar_Not( Dar_Exor( p, vPairs->pArray[i], vPairs->pArray[i+1] ) ); vPairs->nSize = vPairs->nSize/2; return Dar_Not( Dar_Multi_rec( p, (Dar_Obj_t **)vPairs->pArray, vPairs->nSize, DAR_AIG_AND ) ); } /**Function************************************************************* Synopsis [Creates AND function with nVars inputs.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_CreateAnd( Dar_Man_t * p, int nVars ) { Dar_Obj_t * pFunc; int i; pFunc = Dar_ManConst1( p ); for ( i = 0; i < nVars; i++ ) pFunc = Dar_And( p, pFunc, Dar_IthVar(p, i) ); return pFunc; } /**Function************************************************************* Synopsis [Creates AND function with nVars inputs.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_CreateOr( Dar_Man_t * p, int nVars ) { Dar_Obj_t * pFunc; int i; pFunc = Dar_ManConst0( p ); for ( i = 0; i < nVars; i++ ) pFunc = Dar_Or( p, pFunc, Dar_IthVar(p, i) ); return pFunc; } /**Function************************************************************* Synopsis [Creates AND function with nVars inputs.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Dar_Obj_t * Dar_CreateExor( Dar_Man_t * p, int nVars ) { Dar_Obj_t * pFunc; int i; pFunc = Dar_ManConst0( p ); for ( i = 0; i < nVars; i++ ) pFunc = Dar_Exor( p, pFunc, Dar_IthVar(p, i) ); return pFunc; } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// ////////////////////////////////////////////////////////////////////////