/**CFile**************************************************************** FileName [cecIso.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [Combinational equivalence checking.] Synopsis [Detection of structural isomorphism.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - June 20, 2005.] Revision [$Id: cecIso.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $] ***********************************************************************/ #include "cecInt.h" ABC_NAMESPACE_IMPL_START //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// static inline unsigned * Cec_ManIsoInfo( unsigned * pStore, int nWords, int Id ) { return pStore + nWords * Id; } //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Computes simulation info for one node.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Gia_ManIsoSimulate( Gia_Obj_t * pObj, int Id, unsigned * pStore, int nWords ) { unsigned * pInfo = Cec_ManIsoInfo( pStore, nWords, Id ); unsigned * pInfo0 = Cec_ManIsoInfo( pStore, nWords, Gia_ObjFaninId0(pObj, Id) ); unsigned * pInfo1 = Cec_ManIsoInfo( pStore, nWords, Gia_ObjFaninId1(pObj, Id) ); int w; if ( Gia_ObjFaninC0(pObj) ) { if ( Gia_ObjFaninC1(pObj) ) for ( w = 0; w < nWords; w++ ) pInfo[w] = ~(pInfo0[w] | pInfo1[w]); else for ( w = 0; w < nWords; w++ ) pInfo[w] = ~pInfo0[w] & pInfo1[w]; } else { if ( Gia_ObjFaninC1(pObj) ) for ( w = 0; w < nWords; w++ ) pInfo[w] = pInfo0[w] & ~pInfo1[w]; else for ( w = 0; w < nWords; w++ ) pInfo[w] = pInfo0[w] & pInfo1[w]; } } /**Function************************************************************* Synopsis [Copies simulation info.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Gia_ManIsoCopy( int IdDest, int IdSour, unsigned * pStore, int nWords ) { unsigned * pInfo0 = Cec_ManIsoInfo( pStore, nWords, IdDest ); unsigned * pInfo1 = Cec_ManIsoInfo( pStore, nWords, IdSour ); int w; for ( w = 0; w < nWords; w++ ) pInfo0[w] = pInfo1[w]; } /**Function************************************************************* Synopsis [Compares simulation info of two nodes.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline int Gia_ManIsoEqual( int Id0, int Id1, unsigned * pStore, int nWords ) { unsigned * pInfo0 = Cec_ManIsoInfo( pStore, nWords, Id0 ); unsigned * pInfo1 = Cec_ManIsoInfo( pStore, nWords, Id1 ); int w; for ( w = 0; w < nWords; w++ ) if ( pInfo0[w] != pInfo1[w] ) return 0; return 1; } /**Function************************************************************* Synopsis [Generates random simulation info.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Gia_ManIsoRandom( int Id, unsigned * pStore, int nWords ) { unsigned * pInfo0 = Cec_ManIsoInfo( pStore, nWords, Id ); int w; for ( w = 0; w < nWords; w++ ) pInfo0[w] = Gia_ManRandom( 0 ); } /**Function************************************************************* Synopsis [Computes hash key of the simuation info.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline int Gia_ManIsoHashKey( int Id, unsigned * pStore, int nWords, int nTableSize ) { static int s_Primes[16] = { 1291, 1699, 1999, 2357, 2953, 3313, 3907, 4177, 4831, 5147, 5647, 6343, 6899, 7103, 7873, 8147 }; unsigned * pInfo0 = Cec_ManIsoInfo( pStore, nWords, Id ); unsigned uHash = 0; int i; for ( i = 0; i < nWords; i++ ) uHash ^= pInfo0[i] * s_Primes[i & 0xf]; return (int)(uHash % nTableSize); } /**Function************************************************************* Synopsis [Adds node to the hash table.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Gia_ManIsoTableAdd( Gia_Man_t * p, int Id, unsigned * pStore, int nWords, int * pTable, int nTableSize ) { Gia_Obj_t * pTemp; int Key, Ent, Color = Gia_ObjColors( p, Id ); assert( Color == 1 || Color == 2 ); Key = Gia_ManIsoHashKey( Id, pStore, nWords, nTableSize ); for ( Ent = pTable[Key], pTemp = (Ent ? Gia_ManObj(p, Ent) : NULL); pTemp; Ent = pTemp->Value, pTemp = (Ent ? Gia_ManObj(p, Ent) : NULL) ) { if ( Gia_ObjColors( p, Ent ) != Color ) continue; if ( !Gia_ManIsoEqual( Id, Ent, pStore, nWords ) ) continue; // found node with the same color and signature - mark it and do not add new node pTemp->fMark0 = 1; return; } // did not find the node with the same color and signature - add new node pTemp = Gia_ManObj( p, Id ); assert( pTemp->Value == 0 ); assert( pTemp->fMark0 == 0 ); pTemp->Value = pTable[Key]; pTable[Key] = Id; } /**Function************************************************************* Synopsis [Extracts equivalence class candidates from one bin.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline int Gia_ManIsoExtractClasses( Gia_Man_t * p, int Bin, unsigned * pStore, int nWords, Vec_Int_t * vNodesA, Vec_Int_t * vNodesB ) { Gia_Obj_t * pTemp; int Ent; Vec_IntClear( vNodesA ); Vec_IntClear( vNodesB ); for ( Ent = Bin, pTemp = (Ent ? Gia_ManObj(p, Ent) : NULL); pTemp; Ent = pTemp->Value, pTemp = (Ent ? Gia_ManObj(p, Ent) : NULL) ) { if ( pTemp->fMark0 ) { pTemp->fMark0 = 0; continue; } if ( Gia_ObjColors( p, Ent ) == 1 ) Vec_IntPush( vNodesA, Ent ); else Vec_IntPush( vNodesB, Ent ); } return Vec_IntSize(vNodesA) > 0 && Vec_IntSize(vNodesB) > 0; } /**Function************************************************************* Synopsis [Matches nodes in the extacted classes.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Gia_ManIsoMatchNodes( int * pIso, unsigned * pStore, int nWords, Vec_Int_t * vNodesA, Vec_Int_t * vNodesB ) { int k0, k1, IdA, IdB; Vec_IntForEachEntry( vNodesA, IdA, k0 ) Vec_IntForEachEntry( vNodesB, IdB, k1 ) { if ( Gia_ManIsoEqual( IdA, IdB, pStore, nWords ) ) { assert( pIso[IdA] == 0 ); assert( pIso[IdB] == 0 ); assert( IdA != IdB ); pIso[IdA] = IdB; pIso[IdB] = IdA; continue; } } } /**Function************************************************************* Synopsis [Transforms iso into equivalence classes.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Cec_ManTransformClasses( Gia_Man_t * p ) { Gia_Obj_t * pObj; int i; assert( p->pReprs && p->pNexts && p->pIso ); memset( p->pReprs, 0, sizeof(int) * Gia_ManObjNum(p) ); memset( p->pNexts, 0, sizeof(int) * Gia_ManObjNum(p) ); Gia_ManForEachObj( p, pObj, i ) { p->pReprs[i].iRepr = GIA_VOID; if ( p->pIso[i] && p->pIso[i] < i ) { p->pReprs[i].iRepr = p->pIso[i]; p->pNexts[p->pIso[i]] = i; } } } /**Function************************************************************* Synopsis [Finds node correspondences in the miter.] Description [Assumes that the colors are assigned.] SideEffects [] SeeAlso [] ***********************************************************************/ int * Cec_ManDetectIsomorphism( Gia_Man_t * p ) { int nWords = 2; Gia_Obj_t * pObj; Vec_Int_t * vNodesA, * vNodesB; unsigned * pStore, Counter; int i, * pIso, * pTable, nTableSize; // start equivalence classes pIso = ABC_CALLOC( int, Gia_ManObjNum(p) ); Gia_ManForEachObj( p, pObj, i ) { if ( Gia_ObjIsCo(pObj) ) { assert( Gia_ObjColors(p, i) == 0 ); continue; } assert( Gia_ObjColors(p, i) ); if ( Gia_ObjColors(p, i) == 3 ) pIso[i] = i; } // start simulation info pStore = ABC_ALLOC( unsigned, Gia_ManObjNum(p) * nWords ); // simulate and create table nTableSize = Abc_PrimeCudd( 100 + Gia_ManObjNum(p)/2 ); pTable = ABC_CALLOC( int, nTableSize ); Gia_ManCleanValue( p ); Gia_ManForEachObj1( p, pObj, i ) { if ( Gia_ObjIsCo(pObj) ) continue; if ( pIso[i] == 0 ) // simulate Gia_ManIsoSimulate( pObj, i, pStore, nWords ); else if ( pIso[i] < i ) // copy Gia_ManIsoCopy( i, pIso[i], pStore, nWords ); else // generate Gia_ManIsoRandom( i, pStore, nWords ); if ( pIso[i] == 0 ) Gia_ManIsoTableAdd( p, i, pStore, nWords, pTable, nTableSize ); } // create equivalence classes vNodesA = Vec_IntAlloc( 100 ); vNodesB = Vec_IntAlloc( 100 ); for ( i = 0; i < nTableSize; i++ ) if ( Gia_ManIsoExtractClasses( p, pTable[i], pStore, nWords, vNodesA, vNodesB ) ) Gia_ManIsoMatchNodes( pIso, pStore, nWords, vNodesA, vNodesB ); Vec_IntFree( vNodesA ); Vec_IntFree( vNodesB ); // collect info Counter = 0; Gia_ManForEachObj1( p, pObj, i ) { Counter += (pIso[i] && pIso[i] < i); /* if ( pIso[i] && pIso[i] < i ) { if ( (Gia_ObjIsHead(p,pIso[i]) && Gia_ObjRepr(p,i)==pIso[i]) || (Gia_ObjIsClass(p,pIso[i]) && Gia_ObjRepr(p,i)==Gia_ObjRepr(p,pIso[i])) ) Abc_Print( 1, "1" ); else Abc_Print( 1, "0" ); } */ } Abc_Print( 1, "Computed %d pairs of structurally equivalent nodes.\n", Counter ); // p->pIso = pIso; // Cec_ManTransformClasses( p ); ABC_FREE( pTable ); ABC_FREE( pStore ); return pIso; } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// //////////////////////////////////////////////////////////////////////// ABC_NAMESPACE_IMPL_END