| /**CFile**************************************************************** |
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| FileName [cecIso.c] |
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| SystemName [ABC: Logic synthesis and verification system.] |
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| PackageName [Combinational equivalence checking.] |
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| Synopsis [Detection of structural isomorphism.] |
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| Author [Alan Mishchenko] |
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| Affiliation [UC Berkeley] |
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| Date [Ver. 1.0. Started - June 20, 2005.] |
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| Revision [$Id: cecIso.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $] |
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| ***********************************************************************/ |
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| #include "cecInt.h" |
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| ABC_NAMESPACE_IMPL_START |
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| //////////////////////////////////////////////////////////////////////// |
| /// DECLARATIONS /// |
| //////////////////////////////////////////////////////////////////////// |
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| static inline unsigned * Cec_ManIsoInfo( unsigned * pStore, int nWords, int Id ) { return pStore + nWords * Id; } |
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| //////////////////////////////////////////////////////////////////////// |
| /// FUNCTION DEFINITIONS /// |
| //////////////////////////////////////////////////////////////////////// |
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| /**Function************************************************************* |
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| Synopsis [Computes simulation info for one node.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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]; |
| } |
| } |
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| /**Function************************************************************* |
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| Synopsis [Copies simulation info.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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]; |
| } |
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| /**Function************************************************************* |
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| Synopsis [Compares simulation info of two nodes.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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; |
| } |
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| /**Function************************************************************* |
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| Synopsis [Generates random simulation info.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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 ); |
| } |
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| /**Function************************************************************* |
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| Synopsis [Computes hash key of the simuation info.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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); |
| |
| } |
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| /**Function************************************************************* |
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| Synopsis [Adds node to the hash table.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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; |
| } |
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| /**Function************************************************************* |
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| Synopsis [Extracts equivalence class candidates from one bin.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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; |
| } |
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| /**Function************************************************************* |
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| Synopsis [Matches nodes in the extacted classes.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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; |
| } |
| } |
| } |
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| /**Function************************************************************* |
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| Synopsis [Transforms iso into equivalence classes.] |
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| Description [] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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; |
| } |
| } |
| } |
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| /**Function************************************************************* |
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| Synopsis [Finds node correspondences in the miter.] |
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| Description [Assumes that the colors are assigned.] |
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| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| 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; |
| } |
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| //////////////////////////////////////////////////////////////////////// |
| /// END OF FILE /// |
| //////////////////////////////////////////////////////////////////////// |
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| ABC_NAMESPACE_IMPL_END |
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