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/**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"
////////////////////////////////////////////////////////////////////////
/// 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, Counter = 0, 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 = Gia_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])) )
printf( "1" );
else
printf( "0" );
}
*/
}
printf( "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 ///
////////////////////////////////////////////////////////////////////////
|