/**CFile**************************************************************** FileName [aigOper.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [AIG package.] Synopsis [AIG operations.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - April 28, 2007.] Revision [$Id: aigOper.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $] ***********************************************************************/ #include "aig.h" //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// // procedure to detect an EXOR gate static inline int Aig_ObjIsExorType( Aig_Obj_t * p0, Aig_Obj_t * p1, Aig_Obj_t ** ppFan0, Aig_Obj_t ** ppFan1 ) { if ( !Aig_IsComplement(p0) || !Aig_IsComplement(p1) ) return 0; p0 = Aig_Regular(p0); p1 = Aig_Regular(p1); if ( !Aig_ObjIsAnd(p0) || !Aig_ObjIsAnd(p1) ) return 0; if ( Aig_ObjFanin0(p0) != Aig_ObjFanin0(p1) || Aig_ObjFanin1(p0) != Aig_ObjFanin1(p1) ) return 0; if ( Aig_ObjFaninC0(p0) == Aig_ObjFaninC0(p1) || Aig_ObjFaninC1(p0) == Aig_ObjFaninC1(p1) ) return 0; *ppFan0 = Aig_ObjChild0(p0); *ppFan1 = Aig_ObjChild1(p0); return 1; } //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Returns i-th elementary variable.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_IthVar( Aig_Man_t * p, int i ) { int v; for ( v = Aig_ManPiNum(p); v <= i; v++ ) Aig_ObjCreatePi( p ); assert( i < Vec_PtrSize(p->vPis) ); return Aig_ManPi( p, i ); } /**Function************************************************************* Synopsis [Perform one operation.] Description [The argument nodes can be complemented.] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Oper( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1, Aig_Type_t Type ) { if ( Type == AIG_OBJ_AND ) return Aig_And( p, p0, p1 ); if ( Type == AIG_OBJ_EXOR ) return Aig_Exor( p, p0, p1 ); assert( 0 ); return NULL; } /**Function************************************************************* Synopsis [Creates the canonical form of the node.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_CanonPair_rec( Aig_Man_t * p, Aig_Obj_t * pGhost ) { Aig_Obj_t * pResult, * pLat0, * pLat1; int fCompl0, fCompl1; Aig_Type_t Type; assert( Aig_ObjIsNode(pGhost) ); // consider the case when the pair is canonical if ( !Aig_ObjIsLatch(Aig_ObjFanin0(pGhost)) || !Aig_ObjIsLatch(Aig_ObjFanin1(pGhost)) ) { if ( (pResult = Aig_TableLookup( p, pGhost )) ) return pResult; return Aig_ObjCreate( p, pGhost ); } /// remember the latches pLat0 = Aig_ObjFanin0(pGhost); pLat1 = Aig_ObjFanin1(pGhost); // remember type and compls Type = Aig_ObjType(pGhost); fCompl0 = Aig_ObjFaninC0(pGhost); fCompl1 = Aig_ObjFaninC1(pGhost); // call recursively pResult = Aig_Oper( p, Aig_NotCond(Aig_ObjChild0(pLat0), fCompl0), Aig_NotCond(Aig_ObjChild0(pLat1), fCompl1), Type ); // build latch on top of this return Aig_Latch( p, pResult, (Type == AIG_OBJ_AND)? fCompl0 & fCompl1 : fCompl0 ^ fCompl1 ); } /**Function************************************************************* Synopsis [Performs canonicization step.] Description [The argument nodes can be complemented.] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_And( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 ) { Aig_Obj_t * pGhost, * pResult; // Aig_Obj_t * pFan0, * pFan1; if ( p->pTable == NULL ) { // pGhost = Aig_ObjCreateGhost( p, p0, p1, AIG_OBJ_AND ); pGhost = Aig_ManGhost(p); pGhost->Type = AIG_OBJ_AND; pGhost->pFanin0 = p0; pGhost->pFanin1 = p1; return Aig_ObjCreate( p, pGhost ); } // check trivial cases if ( p0 == p1 ) return p0; if ( p0 == Aig_Not(p1) ) return Aig_Not(p->pConst1); if ( Aig_Regular(p0) == p->pConst1 ) return p0 == p->pConst1 ? p1 : Aig_Not(p->pConst1); if ( Aig_Regular(p1) == p->pConst1 ) return p1 == p->pConst1 ? p0 : Aig_Not(p->pConst1); // check not so trivial cases if ( p->fAddStrash && (Aig_ObjIsNode(Aig_Regular(p0)) || Aig_ObjIsNode(Aig_Regular(p1))) ) { // http://fmv.jku.at/papers/BrummayerBiere-MEMICS06.pdf Aig_Obj_t * pFanA, * pFanB, * pFanC, * pFanD; pFanA = Aig_ObjChild0(Aig_Regular(p0)); pFanB = Aig_ObjChild1(Aig_Regular(p0)); pFanC = Aig_ObjChild0(Aig_Regular(p1)); pFanD = Aig_ObjChild1(Aig_Regular(p1)); if ( Aig_IsComplement(p0) ) { if ( pFanA == Aig_Not(p1) || pFanB == Aig_Not(p1) ) return p1; if ( pFanB == p1 ) return Aig_And( p, Aig_Not(pFanA), pFanB ); if ( pFanA == p1 ) return Aig_And( p, Aig_Not(pFanB), pFanA ); } else { if ( pFanA == Aig_Not(p1) || pFanB == Aig_Not(p1) ) return Aig_Not(p->pConst1); if ( pFanA == p1 || pFanB == p1 ) return p0; } if ( Aig_IsComplement(p1) ) { if ( pFanC == Aig_Not(p0) || pFanD == Aig_Not(p0) ) return p0; if ( pFanD == p0 ) return Aig_And( p, Aig_Not(pFanC), pFanD ); if ( pFanC == p0 ) return Aig_And( p, Aig_Not(pFanD), pFanC ); } else { if ( pFanC == Aig_Not(p0) || pFanD == Aig_Not(p0) ) return Aig_Not(p->pConst1); if ( pFanC == p0 || pFanD == p0 ) return p1; } if ( !Aig_IsComplement(p0) && !Aig_IsComplement(p1) ) { if ( pFanA == Aig_Not(pFanC) || pFanA == Aig_Not(pFanD) || pFanB == Aig_Not(pFanC) || pFanB == Aig_Not(pFanD) ) return Aig_Not(p->pConst1); if ( pFanA == pFanC || pFanB == pFanC ) return Aig_And( p, p0, pFanD ); if ( pFanB == pFanC || pFanB == pFanD ) return Aig_And( p, pFanA, p1 ); if ( pFanA == pFanD || pFanB == pFanD ) return Aig_And( p, p0, pFanC ); if ( pFanA == pFanC || pFanA == pFanD ) return Aig_And( p, pFanB, p1 ); } else if ( Aig_IsComplement(p0) && !Aig_IsComplement(p1) ) { if ( pFanA == Aig_Not(pFanC) || pFanA == Aig_Not(pFanD) || pFanB == Aig_Not(pFanC) || pFanB == Aig_Not(pFanD) ) return p1; if ( pFanB == pFanC || pFanB == pFanD ) return Aig_And( p, Aig_Not(pFanA), p1 ); if ( pFanA == pFanC || pFanA == pFanD ) return Aig_And( p, Aig_Not(pFanB), p1 ); } else if ( !Aig_IsComplement(p0) && Aig_IsComplement(p1) ) { if ( pFanC == Aig_Not(pFanA) || pFanC == Aig_Not(pFanB) || pFanD == Aig_Not(pFanA) || pFanD == Aig_Not(pFanB) ) return p0; if ( pFanD == pFanA || pFanD == pFanB ) return Aig_And( p, Aig_Not(pFanC), p0 ); if ( pFanC == pFanA || pFanC == pFanB ) return Aig_And( p, Aig_Not(pFanD), p0 ); } else // if ( Aig_IsComplement(p0) && Aig_IsComplement(p1) ) { if ( pFanA == pFanD && pFanB == Aig_Not(pFanC) ) return Aig_Not(pFanA); if ( pFanB == pFanC && pFanA == Aig_Not(pFanD) ) return Aig_Not(pFanB); if ( pFanA == pFanC && pFanB == Aig_Not(pFanD) ) return Aig_Not(pFanA); if ( pFanB == pFanD && pFanA == Aig_Not(pFanC) ) return Aig_Not(pFanB); } } // check if it can be an EXOR gate // if ( Aig_ObjIsExorType( p0, p1, &pFan0, &pFan1 ) ) // return Aig_Exor( p, pFan0, pFan1 ); pGhost = Aig_ObjCreateGhost( p, p0, p1, AIG_OBJ_AND ); pResult = Aig_CanonPair_rec( p, pGhost ); return pResult; } /**Function************************************************************* Synopsis [Creates the canonical form of the node.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Latch( Aig_Man_t * p, Aig_Obj_t * pObj, int fInitOne ) { Aig_Obj_t * pGhost, * pResult; pGhost = Aig_ObjCreateGhost( p, Aig_NotCond(pObj, fInitOne), NULL, AIG_OBJ_LATCH ); pResult = Aig_TableLookup( p, pGhost ); if ( pResult == NULL ) pResult = Aig_ObjCreate( p, pGhost ); return Aig_NotCond( pResult, fInitOne ); } /**Function************************************************************* Synopsis [Performs canonicization step.] Description [The argument nodes can be complemented.] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Exor( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 ) { /* Aig_Obj_t * pGhost, * pResult; // check trivial cases if ( p0 == p1 ) return Aig_Not(p->pConst1); if ( p0 == Aig_Not(p1) ) return p->pConst1; if ( Aig_Regular(p0) == p->pConst1 ) return Aig_NotCond( p1, p0 == p->pConst1 ); if ( Aig_Regular(p1) == p->pConst1 ) return Aig_NotCond( p0, p1 == p->pConst1 ); // check the table pGhost = Aig_ObjCreateGhost( p, p0, p1, AIG_OBJ_EXOR ); if ( pResult = Aig_TableLookup( p, pGhost ) ) return pResult; return Aig_ObjCreate( p, pGhost ); */ return Aig_Or( p, Aig_And(p, p0, Aig_Not(p1)), Aig_And(p, Aig_Not(p0), p1) ); } /**Function************************************************************* Synopsis [Implements Boolean OR.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Or( Aig_Man_t * p, Aig_Obj_t * p0, Aig_Obj_t * p1 ) { return Aig_Not( Aig_And( p, Aig_Not(p0), Aig_Not(p1) ) ); } /**Function************************************************************* Synopsis [Implements ITE operation.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Mux( Aig_Man_t * p, Aig_Obj_t * pC, Aig_Obj_t * p1, Aig_Obj_t * p0 ) { /* Aig_Obj_t * pTempA1, * pTempA2, * pTempB1, * pTempB2, * pTemp; int Count0, Count1; // consider trivial cases if ( p0 == Aig_Not(p1) ) return Aig_Exor( p, pC, p0 ); // other cases can be added // implement the first MUX (F = C * x1 + C' * x0) // check for constants here!!! pTempA1 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, pC, p1, AIG_OBJ_AND) ); pTempA2 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pC), p0, AIG_OBJ_AND) ); if ( pTempA1 && pTempA2 ) { pTemp = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pTempA1), Aig_Not(pTempA2), AIG_OBJ_AND) ); if ( pTemp ) return Aig_Not(pTemp); } Count0 = (pTempA1 != NULL) + (pTempA2 != NULL); // implement the second MUX (F' = C * x1' + C' * x0') pTempB1 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, pC, Aig_Not(p1), AIG_OBJ_AND) ); pTempB2 = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pC), Aig_Not(p0), AIG_OBJ_AND) ); if ( pTempB1 && pTempB2 ) { pTemp = Aig_TableLookup( p, Aig_ObjCreateGhost(p, Aig_Not(pTempB1), Aig_Not(pTempB2), AIG_OBJ_AND) ); if ( pTemp ) return pTemp; } Count1 = (pTempB1 != NULL) + (pTempB2 != NULL); // compare and decide which one to implement if ( Count0 >= Count1 ) { pTempA1 = pTempA1? pTempA1 : Aig_And(p, pC, p1); pTempA2 = pTempA2? pTempA2 : Aig_And(p, Aig_Not(pC), p0); return Aig_Or( p, pTempA1, pTempA2 ); } pTempB1 = pTempB1? pTempB1 : Aig_And(p, pC, Aig_Not(p1)); pTempB2 = pTempB2? pTempB2 : Aig_And(p, Aig_Not(pC), Aig_Not(p0)); return Aig_Not( Aig_Or( p, pTempB1, pTempB2 ) ); */ return Aig_Or( p, Aig_And(p, pC, p1), Aig_And(p, Aig_Not(pC), p0) ); } /**Function************************************************************* Synopsis [Implements ITE operation.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Maj( Aig_Man_t * p, Aig_Obj_t * pA, Aig_Obj_t * pB, Aig_Obj_t * pC ) { return Aig_Or( p, Aig_Or(p, Aig_And(p, pA, pB), Aig_And(p, pA, pC)), Aig_And(p, pB, pC) ); } /**Function************************************************************* Synopsis [Constructs the well-balanced tree of gates.] Description [Disregards levels and possible logic sharing.] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Multi_rec( Aig_Man_t * p, Aig_Obj_t ** ppObjs, int nObjs, Aig_Type_t Type ) { Aig_Obj_t * pObj1, * pObj2; if ( nObjs == 1 ) return ppObjs[0]; pObj1 = Aig_Multi_rec( p, ppObjs, nObjs/2, Type ); pObj2 = Aig_Multi_rec( p, ppObjs + nObjs/2, nObjs - nObjs/2, Type ); return Aig_Oper( p, pObj1, pObj2, Type ); } /**Function************************************************************* Synopsis [Old code.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Multi( Aig_Man_t * p, Aig_Obj_t ** pArgs, int nArgs, Aig_Type_t Type ) { assert( Type == AIG_OBJ_AND || Type == AIG_OBJ_EXOR ); assert( nArgs > 0 ); return Aig_Multi_rec( p, pArgs, nArgs, Type ); } /**Function************************************************************* Synopsis [Implements the miter.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_Miter( Aig_Man_t * p, Vec_Ptr_t * vPairs ) { int i; assert( vPairs->nSize > 0 ); assert( vPairs->nSize % 2 == 0 ); for ( i = 0; i < vPairs->nSize; i += 2 ) vPairs->pArray[i/2] = Aig_Not( Aig_Exor( p, vPairs->pArray[i], vPairs->pArray[i+1] ) ); vPairs->nSize = vPairs->nSize/2; return Aig_Not( Aig_Multi_rec( p, (Aig_Obj_t **)vPairs->pArray, vPairs->nSize, AIG_OBJ_AND ) ); } /**Function************************************************************* Synopsis [Implements the miter.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_MiterTwo( Aig_Man_t * p, Vec_Ptr_t * vNodes1, Vec_Ptr_t * vNodes2 ) { int i; assert( vNodes1->nSize > 0 && vNodes1->nSize > 0 ); assert( vNodes1->nSize == vNodes2->nSize ); for ( i = 0; i < vNodes1->nSize; i++ ) vNodes1->pArray[i] = Aig_Not( Aig_Exor( p, vNodes1->pArray[i], vNodes2->pArray[i] ) ); return Aig_Not( Aig_Multi_rec( p, (Aig_Obj_t **)vNodes1->pArray, vNodes1->nSize, AIG_OBJ_AND ) ); } /**Function************************************************************* Synopsis [Creates AND function with nVars inputs.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_CreateAnd( Aig_Man_t * p, int nVars ) { Aig_Obj_t * pFunc; int i; pFunc = Aig_ManConst1( p ); for ( i = 0; i < nVars; i++ ) pFunc = Aig_And( p, pFunc, Aig_IthVar(p, i) ); return pFunc; } /**Function************************************************************* Synopsis [Creates AND function with nVars inputs.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_CreateOr( Aig_Man_t * p, int nVars ) { Aig_Obj_t * pFunc; int i; pFunc = Aig_ManConst0( p ); for ( i = 0; i < nVars; i++ ) pFunc = Aig_Or( p, pFunc, Aig_IthVar(p, i) ); return pFunc; } /**Function************************************************************* Synopsis [Creates AND function with nVars inputs.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Aig_Obj_t * Aig_CreateExor( Aig_Man_t * p, int nVars ) { Aig_Obj_t * pFunc; int i; pFunc = Aig_ManConst0( p ); for ( i = 0; i < nVars; i++ ) pFunc = Aig_Exor( p, pFunc, Aig_IthVar(p, i) ); return pFunc; } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// ////////////////////////////////////////////////////////////////////////