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diff --git a/src/aig/gia/giaEmbed.c b/src/aig/gia/giaEmbed.c
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+/**CFile****************************************************************
+
+ FileName [giaLogic.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Scalable AIG package.]
+
+ Synopsis [Logic network derived from AIG.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: giaLogic.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include <math.h>
+#include "gia.h"
+
+/*
+ The code is based on the paper by D. Harel and Y. Koren,
+ "Graph drawing by high-dimensional embedding",
+ J. Graph Algs & Apps, Vol 8(2), pp. 195-217 (2004)
+*/
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Emb_Obj_t_ Emb_Obj_t;
+struct Emb_Obj_t_
+{
+ unsigned fCi : 1; // terminal node CI
+ unsigned fCo : 1; // terminal node CO
+ unsigned fMark0 : 1; // first user-controlled mark
+ unsigned fMark1 : 1; // second user-controlled mark
+ unsigned nFanins : 28; // the number of fanins
+ unsigned nFanouts; // the number of fanouts
+ int hHandle; // the handle of the node
+ union {
+ unsigned TravId; // user-specified value
+ unsigned iFanin;
+ };
+ union {
+ unsigned Value; // user-specified value
+ unsigned iFanout;
+ };
+ int Fanios[0]; // the array of fanins/fanouts
+};
+
+typedef struct Emb_Man_t_ Emb_Man_t;
+struct Emb_Man_t_
+{
+ Gia_Man_t * pGia; // the original AIG manager
+ Vec_Int_t * vCis; // the vector of CIs (PIs + LOs)
+ Vec_Int_t * vCos; // the vector of COs (POs + LIs)
+ int nObjs; // the number of objects
+ int nRegs; // the number of registers
+ int nTravIds; // traversal ID of the network
+ int * pObjData; // the array containing data for objects
+ int nObjData; // the size of array to store the logic network
+ unsigned char* pVecs; // array of vectors of size nObjs * nDims
+ int nReached; // the number of nodes reachable from the pivot
+ int nDistMax; // the maximum distance from the node
+ float ** pMatr; // covariance matrix nDims * nDims
+ float ** pEigen; // the first several eigen values of the matrix
+ float * pSols; // solutions to the problem nObjs * nSols;
+};
+
+static inline int Emb_ManRegNum( Emb_Man_t * p ) { return p->nRegs; }
+static inline int Emb_ManCiNum( Emb_Man_t * p ) { return Vec_IntSize(p->vCis); }
+static inline int Emb_ManCoNum( Emb_Man_t * p ) { return Vec_IntSize(p->vCos); }
+static inline int Emb_ManPiNum( Emb_Man_t * p ) { return Vec_IntSize(p->vCis) - p->nRegs; }
+static inline int Emb_ManPoNum( Emb_Man_t * p ) { return Vec_IntSize(p->vCos) - p->nRegs; }
+static inline int Emb_ManObjNum( Emb_Man_t * p ) { return p->nObjs; }
+static inline int Emb_ManNodeNum( Emb_Man_t * p ) { return p->nObjs - Vec_IntSize(p->vCis) - Vec_IntSize(p->vCos); }
+
+static inline Emb_Obj_t * Emb_ManObj( Emb_Man_t * p, unsigned hHandle ) { return (Emb_Obj_t *)(p->pObjData + hHandle); }
+static inline Emb_Obj_t * Emb_ManCi( Emb_Man_t * p, int i ) { return Emb_ManObj( p, Vec_IntEntry(p->vCis,i) ); }
+static inline Emb_Obj_t * Emb_ManCo( Emb_Man_t * p, int i ) { return Emb_ManObj( p, Vec_IntEntry(p->vCos,i) ); }
+
+static inline int Emb_ObjIsTerm( Emb_Obj_t * pObj ) { return pObj->fCi || pObj->fCo; }
+static inline int Emb_ObjIsCi( Emb_Obj_t * pObj ) { return pObj->fCi; }
+static inline int Emb_ObjIsCo( Emb_Obj_t * pObj ) { return pObj->fCo; }
+static inline int Emb_ObjIsPi( Emb_Obj_t * pObj ) { return pObj->fCi && pObj->nFanins == 0; }
+static inline int Emb_ObjIsPo( Emb_Obj_t * pObj ) { return pObj->fCo && pObj->nFanouts == 0; }
+static inline int Emb_ObjIsNode( Emb_Obj_t * pObj ) { return!Emb_ObjIsTerm(pObj) && pObj->nFanins > 0; }
+static inline int Emb_ObjIsConst0( Emb_Obj_t * pObj ) { return!Emb_ObjIsTerm(pObj) && pObj->nFanins == 0; }
+
+static inline int Emb_ObjSize( Emb_Obj_t * pObj ) { return sizeof(Emb_Obj_t) / 4 + pObj->nFanins + pObj->nFanouts; }
+static inline int Emb_ObjFaninNum( Emb_Obj_t * pObj ) { return pObj->nFanins; }
+static inline int Emb_ObjFanoutNum( Emb_Obj_t * pObj ) { return pObj->nFanouts; }
+static inline Emb_Obj_t * Emb_ObjFanin( Emb_Obj_t * pObj, int i ) { return (Emb_Obj_t *)(((int *)pObj) - pObj->Fanios[i]); }
+static inline Emb_Obj_t * Emb_ObjFanout( Emb_Obj_t * pObj, int i ) { return (Emb_Obj_t *)(((int *)pObj) + pObj->Fanios[pObj->nFanins+i]); }
+
+static inline void Emb_ManResetTravId( Emb_Man_t * p ) { extern void Emb_ManCleanTravId( Emb_Man_t * p ); Emb_ManCleanTravId( p ); p->nTravIds = 1; }
+static inline void Emb_ManIncrementTravId( Emb_Man_t * p ) { p->nTravIds++; }
+static inline void Emb_ObjSetTravId( Emb_Obj_t * pObj, int TravId ) { pObj->TravId = TravId; }
+static inline void Emb_ObjSetTravIdCurrent( Emb_Man_t * p, Emb_Obj_t * pObj ) { pObj->TravId = p->nTravIds; }
+static inline void Emb_ObjSetTravIdPrevious( Emb_Man_t * p, Emb_Obj_t * pObj ) { pObj->TravId = p->nTravIds - 1; }
+static inline int Emb_ObjIsTravIdCurrent( Emb_Man_t * p, Emb_Obj_t * pObj ) { return ((int)pObj->TravId == p->nTravIds); }
+static inline int Emb_ObjIsTravIdPrevious( Emb_Man_t * p, Emb_Obj_t * pObj ) { return ((int)pObj->TravId == p->nTravIds - 1); }
+
+static inline unsigned char * Emb_ManVec( Emb_Man_t * p, int v ) { return p->pVecs + v * p->nObjs; }
+static inline float * Emb_ManSol( Emb_Man_t * p, int v ) { return p->pSols + v * p->nObjs; }
+
+#define Emb_ManForEachObj( p, pObj, i ) \
+ for ( i = 0; (i < p->nObjData) && (pObj = Emb_ManObj(p,i)); i += Emb_ObjSize(pObj) )
+#define Emb_ManForEachNode( p, pObj, i ) \
+ for ( i = 0; (i < p->nObjData) && (pObj = Emb_ManObj(p,i)); i += Emb_ObjSize(pObj) ) if ( Emb_ObjIsTerm(pObj) ) {} else
+#define Emb_ManForEachObjVec( vVec, p, pObj, i ) \
+ for ( i = 0; (i < Vec_IntSize(vVec)) && ((pObj) = Emb_ManObj(p, Vec_IntEntry(vVec,i))); i++ )
+#define Emb_ObjForEachFanin( pObj, pNext, i ) \
+ for ( i = 0; (i < (int)pObj->nFanins) && (pNext = Emb_ObjFanin(pObj,i)); i++ )
+#define Emb_ObjForEachFanout( pObj, pNext, i ) \
+ for ( i = 0; (i < (int)pObj->nFanouts) && (pNext = Emb_ObjFanout(pObj,i)); i++ )
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Collect the fanin IDs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManCollectSuper_rec( Gia_Man_t * p, Gia_Obj_t * pObj, Vec_Int_t * vSuper, Vec_Int_t * vVisit )
+{
+ if ( pObj->fMark1 )
+ return;
+ pObj->fMark1 = 1;
+ Vec_IntPush( vVisit, Gia_ObjId(p, pObj) );
+ if ( pObj->fMark0 )
+ {
+ Vec_IntPush( vSuper, Gia_ObjId(p, pObj) );
+ return;
+ }
+ assert( Gia_ObjIsAnd(pObj) );
+ Emb_ManCollectSuper_rec( p, Gia_ObjFanin0(pObj), vSuper, vVisit );
+ Emb_ManCollectSuper_rec( p, Gia_ObjFanin1(pObj), vSuper, vVisit );
+
+}
+
+/**Function*************************************************************
+
+ Synopsis [Collect the fanin IDs.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManCollectSuper( Gia_Man_t * p, Gia_Obj_t * pObj, Vec_Int_t * vSuper, Vec_Int_t * vVisit )
+{
+ int Entry, i;
+ Vec_IntClear( vSuper );
+ Vec_IntClear( vVisit );
+ assert( pObj->fMark0 == 1 );
+ pObj->fMark0 = 0;
+ Emb_ManCollectSuper_rec( p, pObj, vSuper, vVisit );
+ pObj->fMark0 = 1;
+ Vec_IntForEachEntry( vVisit, Entry, i )
+ Gia_ManObj(p, Entry)->fMark1 = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assigns references while removing the MUX/XOR ones.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManCreateRefsSpecial( Gia_Man_t * p )
+{
+ Gia_Obj_t * pObj, * pFan0, * pFan1;
+ Gia_Obj_t * pObjC, * pObjD0, * pObjD1;
+ int i;
+ assert( p->pRefs == NULL );
+ Gia_ManCleanMark0( p );
+ Gia_ManCreateRefs( p );
+ Gia_ManForEachAnd( p, pObj, i )
+ {
+ assert( pObj->fMark0 == 0 );
+ pFan0 = Gia_ObjFanin0(pObj);
+ pFan1 = Gia_ObjFanin1(pObj);
+ // skip nodes whose fanins are PIs or are already marked
+ if ( Gia_ObjIsCi(pFan0) || pFan0->fMark0 ||
+ Gia_ObjIsCi(pFan1) || pFan1->fMark0 )
+ continue;
+ // skip nodes that are not MUX type
+ if ( !Gia_ObjIsMuxType(pObj) )
+ continue;
+ // the node is MUX type, mark it and its fanins
+ pObj->fMark0 = 1;
+ pFan0->fMark0 = 1;
+ pFan1->fMark0 = 1;
+ // deref the control
+ pObjC = Gia_ObjRecognizeMux( pObj, &pObjD1, &pObjD0 );
+ Gia_ObjRefDec( p, Gia_Regular(pObjC) );
+ if ( Gia_Regular(pObjD0) == Gia_Regular(pObjD1) )
+ Gia_ObjRefDec( p, Gia_Regular(pObjD0) );
+ }
+ Gia_ManForEachAnd( p, pObj, i )
+ assert( Gia_ObjRefs(p, pObj) > 0 );
+ Gia_ManCleanMark0( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Assigns references while removing the MUX/XOR ones.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManTransformRefs( Gia_Man_t * p, int * pnObjs, int * pnFanios )
+{
+ Vec_Int_t * vSuper, * vVisit;
+ Gia_Obj_t * pObj, * pFanin;
+ int i, k, Counter;
+ assert( p->pRefs != NULL );
+
+ // mark nodes to be used in the logic network
+ Gia_ManCleanMark0( p );
+ Gia_ManConst0(p)->fMark0 = 1;
+ // mark the inputs
+ Gia_ManForEachCi( p, pObj, i )
+ pObj->fMark0 = 1;
+ // mark those nodes that have ref count more than 1
+ Gia_ManForEachAnd( p, pObj, i )
+ pObj->fMark0 = (Gia_ObjRefs(p, pObj) > 1);
+ // mark the output drivers
+ Gia_ManForEachCoDriver( p, pObj, i )
+ pObj->fMark0 = 1;
+
+ // count the number of nodes
+ Counter = 0;
+ Gia_ManForEachObj( p, pObj, i )
+ Counter += pObj->fMark0;
+ *pnObjs = Counter + Gia_ManCoNum(p);
+
+ // reset the references
+ ABC_FREE( p->pRefs );
+ p->pRefs = ABC_CALLOC( int, Gia_ManObjNum(p) );
+ // reference from internal nodes
+ Counter = 0;
+ vSuper = Vec_IntAlloc( 100 );
+ vVisit = Vec_IntAlloc( 100 );
+ Gia_ManCleanMark1( p );
+ Gia_ManForEachAnd( p, pObj, i )
+ {
+ if ( pObj->fMark0 == 0 )
+ continue;
+ Emb_ManCollectSuper( p, pObj, vSuper, vVisit );
+ Gia_ManForEachObjVec( vSuper, p, pFanin, k )
+ {
+ assert( pFanin->fMark0 );
+ Gia_ObjRefInc( p, pFanin );
+ }
+ Counter += Vec_IntSize( vSuper );
+ }
+ Gia_ManCheckMark1( p );
+ Vec_IntFree( vSuper );
+ Vec_IntFree( vVisit );
+ // reference from outputs
+ Gia_ManForEachCoDriver( p, pObj, i )
+ {
+ assert( pObj->fMark0 );
+ Gia_ObjRefInc( p, pObj );
+ }
+ *pnFanios = Counter + Gia_ManCoNum(p);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans the value.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManCleanTravId( Emb_Man_t * p )
+{
+ Emb_Obj_t * pObj;
+ int i;
+ Emb_ManForEachObj( p, pObj, i )
+ pObj->TravId = 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Cleans the value.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManSetValue( Emb_Man_t * p )
+{
+ Emb_Obj_t * pObj;
+ int i, Counter = 0;
+ Emb_ManForEachObj( p, pObj, i )
+ {
+ pObj->Value = Counter++;
+// if ( pObj->fCi && pObj->nFanins == 0 )
+// printf( "CI: Handle = %8d. Value = %6d. Fanins = %d.\n", pObj->hHandle, pObj->Value, pObj->nFanins );
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates fanin/fanout pair.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ObjAddFanin( Emb_Obj_t * pObj, Emb_Obj_t * pFanin )
+{
+ assert( pObj->iFanin < pObj->nFanins );
+ assert( pFanin->iFanout < pFanin->nFanouts );
+ pFanin->Fanios[pFanin->nFanins + pFanin->iFanout++] =
+ pObj->Fanios[pObj->iFanin++] = pObj->hHandle - pFanin->hHandle;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates logic network isomorphic to the given AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Emb_Man_t * Emb_ManStart( Gia_Man_t * pGia )
+{
+ Emb_Man_t * p;
+ Emb_Obj_t * pObjLog, * pFanLog;
+ Gia_Obj_t * pObj, * pObjRi, * pObjRo, * pFanin;
+ Vec_Int_t * vSuper, * vVisit;
+ int nObjs, nFanios, nNodes = 0;
+ int i, k, hHandle = 0;
+ // prepare the AIG
+// Gia_ManCreateRefs( pGia );
+ Emb_ManCreateRefsSpecial( pGia );
+ Emb_ManTransformRefs( pGia, &nObjs, &nFanios );
+ Gia_ManFillValue( pGia );
+ // create logic network
+ p = ABC_CALLOC( Emb_Man_t, 1 );
+ p->pGia = pGia;
+ p->nRegs = Gia_ManRegNum(pGia);
+ p->vCis = Vec_IntAlloc( Gia_ManCiNum(pGia) );
+ p->vCos = Vec_IntAlloc( Gia_ManCoNum(pGia) );
+ p->nObjData = (sizeof(Emb_Obj_t) / 4) * nObjs + 2 * (nFanios + Gia_ManRegNum(pGia));
+ p->pObjData = ABC_CALLOC( int, p->nObjData );
+ // create constant node
+ Gia_ManConst0(pGia)->Value = hHandle;
+ pObjLog = Emb_ManObj( p, hHandle );
+ pObjLog->hHandle = hHandle;
+ pObjLog->nFanins = 0;
+ pObjLog->nFanouts = Gia_ObjRefs( pGia, Gia_ManConst0(pGia) );
+ // count objects
+ hHandle += Emb_ObjSize( pObjLog );
+ nNodes++;
+ p->nObjs++;
+ // create the PIs
+ Gia_ManForEachCi( pGia, pObj, i )
+ {
+ // create PI object
+ pObj->Value = hHandle;
+ Vec_IntPush( p->vCis, hHandle );
+ pObjLog = Emb_ManObj( p, hHandle );
+ pObjLog->hHandle = hHandle;
+ pObjLog->nFanins = Gia_ObjIsRo( pGia, pObj );
+ pObjLog->nFanouts = Gia_ObjRefs( pGia, pObj );
+ pObjLog->fCi = 1;
+ // count objects
+ hHandle += Emb_ObjSize( pObjLog );
+ p->nObjs++;
+ }
+ // create internal nodes
+ vSuper = Vec_IntAlloc( 100 );
+ vVisit = Vec_IntAlloc( 100 );
+ Gia_ManForEachAnd( pGia, pObj, i )
+ {
+ if ( pObj->fMark0 == 0 )
+ {
+ assert( Gia_ObjRefs( pGia, pObj ) == 0 );
+ continue;
+ }
+ assert( Gia_ObjRefs( pGia, pObj ) > 0 );
+ Emb_ManCollectSuper( pGia, pObj, vSuper, vVisit );
+ // create node object
+ pObj->Value = hHandle;
+ pObjLog = Emb_ManObj( p, hHandle );
+ pObjLog->hHandle = hHandle;
+ pObjLog->nFanins = Vec_IntSize( vSuper );
+ pObjLog->nFanouts = Gia_ObjRefs( pGia, pObj );
+ // add fanins
+ Gia_ManForEachObjVec( vSuper, pGia, pFanin, k )
+ {
+ pFanLog = Emb_ManObj( p, Gia_ObjValue(pFanin) );
+ Emb_ObjAddFanin( pObjLog, pFanLog );
+ }
+ // count objects
+ hHandle += Emb_ObjSize( pObjLog );
+ nNodes++;
+ p->nObjs++;
+ }
+ Vec_IntFree( vSuper );
+ Vec_IntFree( vVisit );
+ // create the POs
+ Gia_ManForEachCo( pGia, pObj, i )
+ {
+ // create PO object
+ pObj->Value = hHandle;
+ Vec_IntPush( p->vCos, hHandle );
+ pObjLog = Emb_ManObj( p, hHandle );
+ pObjLog->hHandle = hHandle;
+ pObjLog->nFanins = 1;
+ pObjLog->nFanouts = Gia_ObjIsRi( pGia, pObj );
+ pObjLog->fCo = 1;
+ // add fanins
+ pFanLog = Emb_ManObj( p, Gia_ObjValue(Gia_ObjFanin0(pObj)) );
+ Emb_ObjAddFanin( pObjLog, pFanLog );
+ // count objects
+ hHandle += Emb_ObjSize( pObjLog );
+ p->nObjs++;
+ }
+ // connect registers
+ Gia_ManForEachRiRo( pGia, pObjRi, pObjRo, i )
+ Emb_ObjAddFanin( Emb_ManObj(p,Gia_ObjValue(pObjRo)), Emb_ManObj(p,Gia_ObjValue(pObjRi)) );
+ Gia_ManCleanMark0( pGia );
+ assert( nNodes == Emb_ManNodeNum(p) );
+ assert( nObjs == p->nObjs );
+ assert( hHandle == p->nObjData );
+ if ( hHandle != p->nObjData )
+ printf( "Emb_ManStart(): Fatal error in internal representation.\n" );
+ // make sure the fanin/fanout counters are correct
+ Gia_ManForEachObj( pGia, pObj, i )
+ {
+ if ( !~Gia_ObjValue(pObj) )
+ continue;
+ pObjLog = Emb_ManObj( p, Gia_ObjValue(pObj) );
+ assert( pObjLog->nFanins == pObjLog->iFanin );
+ assert( pObjLog->nFanouts == pObjLog->iFanout );
+ pObjLog->iFanin = pObjLog->iFanout = 0;
+ }
+ ABC_FREE( pGia->pRefs );
+ return p;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates logic network isomorphic to the given AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManPrintStats( Emb_Man_t * p )
+{
+// if ( p->pName )
+// printf( "%8s : ", p->pName );
+ printf( "i/o =%7d/%7d ", Emb_ManPiNum(p), Emb_ManPoNum(p) );
+ if ( Emb_ManRegNum(p) )
+ printf( "ff =%7d ", Emb_ManRegNum(p) );
+ printf( "node =%8d ", Emb_ManNodeNum(p) );
+ printf( "obj =%8d ", Emb_ManObjNum(p) );
+// printf( "lev =%5d ", Emb_ManLevelNum(p) );
+// printf( "cut =%5d ", Emb_ManCrossCut(p) );
+ printf( "mem =%5.2f Mb", 4.0*p->nObjData/(1<<20) );
+// printf( "obj =%5d ", Emb_ManObjNum(p) );
+ printf( "\n" );
+
+// Emb_ManSatExperiment( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates logic network isomorphic to the given AIG.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManStop( Emb_Man_t * p )
+{
+ Vec_IntFree( p->vCis );
+ Vec_IntFree( p->vCos );
+ ABC_FREE( p->pVecs );
+ ABC_FREE( p->pSols );
+ ABC_FREE( p->pMatr );
+ ABC_FREE( p->pEigen );
+ ABC_FREE( p->pObjData );
+ ABC_FREE( p );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the distribution of fanins/fanouts in the network.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManPrintFanio( Emb_Man_t * p )
+{
+ char Buffer[100];
+ Emb_Obj_t * pNode;
+ Vec_Int_t * vFanins, * vFanouts;
+ int nFanins, nFanouts, nFaninsMax, nFanoutsMax, nFaninsAll, nFanoutsAll;
+ int i, k, nSizeMax;
+
+ // determine the largest fanin and fanout
+ nFaninsMax = nFanoutsMax = 0;
+ nFaninsAll = nFanoutsAll = 0;
+ Emb_ManForEachNode( p, pNode, i )
+ {
+ if ( i == 0 ) continue; // skip const 0 obj
+ nFanins = Emb_ObjFaninNum(pNode);
+ nFanouts = Emb_ObjFanoutNum(pNode);
+ nFaninsAll += nFanins;
+ nFanoutsAll += nFanouts;
+ nFaninsMax = ABC_MAX( nFaninsMax, nFanins );
+ nFanoutsMax = ABC_MAX( nFanoutsMax, nFanouts );
+ }
+
+ // allocate storage for fanin/fanout numbers
+ nSizeMax = AIG_MAX( 10 * (Aig_Base10Log(nFaninsMax) + 1), 10 * (Aig_Base10Log(nFanoutsMax) + 1) );
+ vFanins = Vec_IntStart( nSizeMax );
+ vFanouts = Vec_IntStart( nSizeMax );
+
+ // count the number of fanins and fanouts
+ Emb_ManForEachNode( p, pNode, i )
+ {
+ if ( i == 0 ) continue; // skip const 0 obj
+ nFanins = Emb_ObjFaninNum(pNode);
+ nFanouts = Emb_ObjFanoutNum(pNode);
+
+ if ( nFanins < 10 )
+ Vec_IntAddToEntry( vFanins, nFanins, 1 );
+ else if ( nFanins < 100 )
+ Vec_IntAddToEntry( vFanins, 10 + nFanins/10, 1 );
+ else if ( nFanins < 1000 )
+ Vec_IntAddToEntry( vFanins, 20 + nFanins/100, 1 );
+ else if ( nFanins < 10000 )
+ Vec_IntAddToEntry( vFanins, 30 + nFanins/1000, 1 );
+ else if ( nFanins < 100000 )
+ Vec_IntAddToEntry( vFanins, 40 + nFanins/10000, 1 );
+ else if ( nFanins < 1000000 )
+ Vec_IntAddToEntry( vFanins, 50 + nFanins/100000, 1 );
+ else if ( nFanins < 10000000 )
+ Vec_IntAddToEntry( vFanins, 60 + nFanins/1000000, 1 );
+
+ if ( nFanouts < 10 )
+ Vec_IntAddToEntry( vFanouts, nFanouts, 1 );
+ else if ( nFanouts < 100 )
+ Vec_IntAddToEntry( vFanouts, 10 + nFanouts/10, 1 );
+ else if ( nFanouts < 1000 )
+ Vec_IntAddToEntry( vFanouts, 20 + nFanouts/100, 1 );
+ else if ( nFanouts < 10000 )
+ Vec_IntAddToEntry( vFanouts, 30 + nFanouts/1000, 1 );
+ else if ( nFanouts < 100000 )
+ Vec_IntAddToEntry( vFanouts, 40 + nFanouts/10000, 1 );
+ else if ( nFanouts < 1000000 )
+ Vec_IntAddToEntry( vFanouts, 50 + nFanouts/100000, 1 );
+ else if ( nFanouts < 10000000 )
+ Vec_IntAddToEntry( vFanouts, 60 + nFanouts/1000000, 1 );
+ }
+
+ printf( "The distribution of fanins and fanouts in the network:\n" );
+ printf( " Number Nodes with fanin Nodes with fanout\n" );
+ for ( k = 0; k < nSizeMax; k++ )
+ {
+ if ( vFanins->pArray[k] == 0 && vFanouts->pArray[k] == 0 )
+ continue;
+ if ( k < 10 )
+ printf( "%15d : ", k );
+ else
+ {
+ sprintf( Buffer, "%d - %d", (int)pow(10, k/10) * (k%10), (int)pow(10, k/10) * (k%10+1) - 1 );
+ printf( "%15s : ", Buffer );
+ }
+ if ( vFanins->pArray[k] == 0 )
+ printf( " " );
+ else
+ printf( "%12d ", vFanins->pArray[k] );
+ printf( " " );
+ if ( vFanouts->pArray[k] == 0 )
+ printf( " " );
+ else
+ printf( "%12d ", vFanouts->pArray[k] );
+ printf( "\n" );
+ }
+ Vec_IntFree( vFanins );
+ Vec_IntFree( vFanouts );
+
+ printf( "Fanins: Max = %d. Ave = %.2f. Fanouts: Max = %d. Ave = %.2f.\n",
+ nFaninsMax, 1.0*nFaninsAll/Emb_ManNodeNum(p),
+ nFanoutsMax, 1.0*nFanoutsAll/Emb_ManNodeNum(p) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the distance from the given object]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Emb_ManComputeDistance_old( Emb_Man_t * p, Emb_Obj_t * pPivot )
+{
+ Vec_Int_t * vThis, * vNext, * vTemp;
+ Emb_Obj_t * pThis, * pNext;
+ int i, k, d, nVisited = 0;
+// assert( Emb_ObjIsTerm(pPivot) );
+ vThis = Vec_IntAlloc( 1000 );
+ vNext = Vec_IntAlloc( 1000 );
+ Emb_ManIncrementTravId( p );
+ Emb_ObjSetTravIdCurrent( p, pPivot );
+ Vec_IntPush( vThis, pPivot->hHandle );
+ for ( d = 0; Vec_IntSize(vThis) > 0; d++ )
+ {
+ nVisited += Vec_IntSize(vThis);
+ Vec_IntClear( vNext );
+ Emb_ManForEachObjVec( vThis, p, pThis, i )
+ {
+ Emb_ObjForEachFanin( pThis, pNext, k )
+ {
+ if ( Emb_ObjIsTravIdCurrent(p, pNext) )
+ continue;
+ Emb_ObjSetTravIdCurrent(p, pNext);
+ Vec_IntPush( vNext, pNext->hHandle );
+ nVisited += !Emb_ObjIsTerm(pNext);
+ }
+ Emb_ObjForEachFanout( pThis, pNext, k )
+ {
+ if ( Emb_ObjIsTravIdCurrent(p, pNext) )
+ continue;
+ Emb_ObjSetTravIdCurrent(p, pNext);
+ Vec_IntPush( vNext, pNext->hHandle );
+ nVisited += !Emb_ObjIsTerm(pNext);
+ }
+ }
+ vTemp = vThis; vThis = vNext; vNext = vTemp;
+ }
+ Vec_IntFree( vThis );
+ Vec_IntFree( vNext );
+ // check if there are several strongly connected components
+// if ( nVisited < Emb_ManNodeNum(p) )
+// printf( "Visited less nodes (%d) than present (%d).\n", nVisited, Emb_ManNodeNum(p) );
+ return d;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Traverses from the given node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Gia_ManTestDistanceInternal( Emb_Man_t * p )
+{
+ int nAttempts = 20;
+ int i, iNode, Dist, clk;
+ Emb_Obj_t * pPivot, * pNext;
+ Aig_ManRandom( 1 );
+ Emb_ManResetTravId( p );
+ // compute distances from several randomly selected PIs
+ clk = clock();
+ printf( "From inputs: " );
+ for ( i = 0; i < nAttempts; i++ )
+ {
+ iNode = Aig_ManRandom( 0 ) % Emb_ManCiNum(p);
+ pPivot = Emb_ManCi( p, iNode );
+ if ( Emb_ObjFanoutNum(pPivot) == 0 )
+ { i--; continue; }
+ pNext = Emb_ObjFanout( pPivot, 0 );
+ if ( !Emb_ObjIsNode(pNext) )
+ { i--; continue; }
+ Dist = Emb_ManComputeDistance_old( p, pPivot );
+ printf( "%d ", Dist );
+ }
+ ABC_PRT( "Time", clock() - clk );
+ // compute distances from several randomly selected POs
+ clk = clock();
+ printf( "From outputs: " );
+ for ( i = 0; i < nAttempts; i++ )
+ {
+ iNode = Aig_ManRandom( 0 ) % Emb_ManCoNum(p);
+ pPivot = Emb_ManCo( p, iNode );
+ pNext = Emb_ObjFanin( pPivot, 0 );
+ if ( !Emb_ObjIsNode(pNext) )
+ { i--; continue; }
+ Dist = Emb_ManComputeDistance_old( p, pPivot );
+ printf( "%d ", Dist );
+ }
+ ABC_PRT( "Time", clock() - clk );
+ // compute distances from several randomly selected nodes
+ clk = clock();
+ printf( "From nodes: " );
+ for ( i = 0; i < nAttempts; i++ )
+ {
+ iNode = Aig_ManRandom( 0 ) % Gia_ManObjNum(p->pGia);
+ if ( !~Gia_ManObj(p->pGia, iNode)->Value )
+ { i--; continue; }
+ pPivot = Emb_ManObj( p, Gia_ManObj(p->pGia, iNode)->Value );
+ if ( !Emb_ObjIsNode(pPivot) )
+ { i--; continue; }
+ Dist = Emb_ManComputeDistance_old( p, pPivot );
+ printf( "%d ", Dist );
+ }
+ ABC_PRT( "Time", clock() - clk );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns sorted array of node handles with largest fanout.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Gia_ManTestDistance( Gia_Man_t * pGia )
+{
+ Emb_Man_t * p;
+ int clk = clock();
+ p = Emb_ManStart( pGia );
+// Emb_ManPrintFanio( p );
+ Emb_ManPrintStats( p );
+ABC_PRT( "Time", clock() - clk );
+ Gia_ManTestDistanceInternal( p );
+ Emb_ManStop( p );
+}
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Computes the distances from the given set of objects.]
+
+ Description [Returns one of the most distant objects.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Emb_Obj_t * Emb_ManFindDistances( Emb_Man_t * p, Vec_Int_t * vStart, unsigned char * pDist )
+{
+ Vec_Int_t * vThis, * vNext, * vTemp;
+ Emb_Obj_t * pThis, * pNext, * pResult;
+ int i, k;
+ p->nReached = p->nDistMax = 0;
+ vThis = Vec_IntAlloc( 1000 );
+ vNext = Vec_IntAlloc( 1000 );
+ Emb_ManIncrementTravId( p );
+ Emb_ManForEachObjVec( vStart, p, pThis, i )
+ {
+ Emb_ObjSetTravIdCurrent( p, pThis );
+ Vec_IntPush( vThis, pThis->hHandle );
+ }
+ assert( Vec_IntSize(vThis) > 0 );
+ for ( p->nDistMax = 0; Vec_IntSize(vThis) > 0; p->nDistMax++ )
+ {
+ p->nReached += Vec_IntSize(vThis);
+ Vec_IntClear( vNext );
+ Emb_ManForEachObjVec( vThis, p, pThis, i )
+ {
+ assert( p->nDistMax < 255 ); // current data-structure used unsigned char
+ if ( p->nDistMax > 254 )
+ p->nDistMax = 254;
+ if ( pDist ) pDist[pThis->Value] = p->nDistMax;
+ Emb_ObjForEachFanin( pThis, pNext, k )
+ {
+ if ( Emb_ObjIsTravIdCurrent(p, pNext) )
+ continue;
+ Emb_ObjSetTravIdCurrent(p, pNext);
+ Vec_IntPush( vNext, pNext->hHandle );
+ }
+ Emb_ObjForEachFanout( pThis, pNext, k )
+ {
+ if ( Emb_ObjIsTravIdCurrent(p, pNext) )
+ continue;
+ Emb_ObjSetTravIdCurrent(p, pNext);
+ Vec_IntPush( vNext, pNext->hHandle );
+ }
+ }
+ vTemp = vThis; vThis = vNext; vNext = vTemp;
+ }
+ assert( Vec_IntSize(vNext) > 0 );
+ pResult = Emb_ManObj( p, Vec_IntEntry(vNext, 0) );
+ assert( pDist == NULL || pDist[pResult->Value] == p->nDistMax - 1 );
+ Vec_IntFree( vThis );
+ Vec_IntFree( vNext );
+ return pResult;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Traverses from the given node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Emb_Obj_t * Emb_ManRandomVertex( Emb_Man_t * p )
+{
+ Emb_Obj_t * pPivot;
+ do {
+ int iNode = Aig_ManRandom( 0 ) % Gia_ManObjNum(p->pGia);
+ if ( ~Gia_ManObj(p->pGia, iNode)->Value )
+ pPivot = Emb_ManObj( p, Gia_ManObj(p->pGia, iNode)->Value );
+ else
+ pPivot = NULL;
+ }
+ while ( pPivot == NULL || !Emb_ObjIsNode(pPivot) );
+ return pPivot;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes dimentions of the graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManComputeDimensions( Emb_Man_t * p, int nDims )
+{
+ Emb_Obj_t * pRandom, * pPivot;
+ Vec_Int_t * vStart;
+ int d, nReached;
+ int i, Counter;
+ assert( p->pVecs == NULL );
+ p->pVecs = ABC_FALLOC( unsigned char, p->nObjs * nDims );
+ vStart = Vec_IntAlloc( nDims );
+ // get the pivot vertex
+ pRandom = Emb_ManRandomVertex( p );
+ Vec_IntPush( vStart, pRandom->hHandle );
+ // get the most distant vertex from the pivot
+ pPivot = Emb_ManFindDistances( p, vStart, NULL );
+ nReached = p->nReached;
+ if ( nReached < Emb_ManObjNum(p) )
+ printf( "Visited less objects (%d) than present (%d).\n", p->nReached, Emb_ManObjNum(p) );
+ // start dimensions with this vertex
+ Vec_IntClear( vStart );
+ for ( d = 0; d < nDims; d++ )
+ {
+// printf( "%3d : Adding vertex %7d with distance %3d.\n", d+1, pPivot->Value, p->nDistMax );
+ Vec_IntPush( vStart, pPivot->hHandle );
+ if ( d+1 == nReached )
+ break;
+ pPivot = Emb_ManFindDistances( p, vStart, Emb_ManVec(p, d) );
+ assert( nReached == p->nReached );
+ }
+ Vec_IntFree( vStart );
+ // make sure the number of reached objects is correct
+ Counter = 0;
+ for ( i = 0; i < p->nObjs; i++ )
+ if ( p->pVecs[i] < 255 )
+ Counter++;
+ assert( Counter == nReached );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Allocated square matrix of floats.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+float ** Emb_ManMatrAlloc( int nDims )
+{
+ int i;
+ float ** pMatr = (float **)ABC_ALLOC( char, sizeof(float *) * nDims + sizeof(float) * nDims * nDims );
+ pMatr[0] = (float *)(pMatr + nDims);
+ for ( i = 1; i < nDims; i++ )
+ pMatr[i] = pMatr[i-1] + nDims;
+ return pMatr;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes covariance matrix.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManComputeCovariance( Emb_Man_t * p, int nDims )
+{
+ unsigned char * pOne, * pTwo;
+ float * pAves, * pCol;
+ int d, i, k, v;
+ // compute averages of vectors
+ pAves = ABC_ALLOC( float, nDims );
+ for ( d = 0; d < nDims; d++ )
+ {
+ pAves[d] = 0.0;
+ pOne = Emb_ManVec( p, d );
+ for ( v = 0; v < p->nObjs; v++ )
+ if ( pOne[v] < 255 )
+ pAves[d] += pOne[v];
+ pAves[d] /= p->nReached;
+ }
+ // compute the matrix
+ assert( p->pMatr == NULL );
+ assert( p->pEigen == NULL );
+ p->pMatr = Emb_ManMatrAlloc( nDims );
+ p->pEigen = Emb_ManMatrAlloc( nDims );
+ for ( i = 0; i < nDims; i++ )
+ {
+ pOne = Emb_ManVec( p, i );
+ pCol = p->pMatr[i];
+ for ( k = 0; k < nDims; k++ )
+ {
+ pTwo = Emb_ManVec( p, k );
+ pCol[k] = 0.0;
+ for ( v = 0; v < p->nObjs; v++ )
+ if ( pOne[i] < 255 && pOne[k] < 255 )
+ pCol[k] += (pOne[i] - pAves[i])*(pOne[k] - pAves[k]);
+ }
+ }
+ ABC_FREE( pAves );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns random vector.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManVecRandom( float * pVec, int nDims )
+{
+ int i;
+ for ( i = 0; i < nDims; i++ )
+ pVec[i] = Aig_ManRandom( 0 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns normalized vector.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManVecNormal( float * pVec, int nDims )
+{
+ int i;
+ double Norm = 0.0;
+ for ( i = 0; i < nDims; i++ )
+ Norm += pVec[i] * pVec[i];
+ Norm = pow( Norm, 0.5 );
+ for ( i = 0; i < nDims; i++ )
+ pVec[i] /= Norm;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Multiplies vector by vector.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+float Emb_ManVecMultiplyOne( float * pVec0, float * pVec1, int nDims )
+{
+ float Res = 0.0;
+ int i;
+ for ( i = 0; i < nDims; i++ )
+ Res += pVec0[i] * pVec1[i];
+ return Res;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Copies the vector.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManVecCopyOne( float * pVecDest, float * pVecSour, int nDims )
+{
+ int i;
+ for ( i = 0; i < nDims; i++ )
+ pVecDest[i] = pVecSour[i];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Multiplies matrix by vector.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManVecMultiply( float ** pMatr, float * pVec, int nDims, float * pRes )
+{
+ int i;
+ for ( i = 0; i < nDims; i++ )
+ pRes[i] = Emb_ManVecMultiplyOne( pMatr[i], pVec, nDims );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Multiplies vector by matrix.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManVecOrthogonolize( float ** pEigen, int nVecs, float * pVec, int nDims )
+{
+ int i, k;
+ for ( k = 0; k < nVecs; k++ )
+ for ( i = 0; i < nDims; i++ )
+ pVec[i] -= pEigen[k][i] * Emb_ManVecMultiplyOne( pEigen[k], pVec, nDims );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the first eigen-vectors.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Emb_ManComputeSolutions( Emb_Man_t * p, int nDims, int nSols )
+{
+ float * pVecTemp, * pVecCur;
+ int i, k, j;
+ assert( nSols < nDims );
+ pVecTemp = p->pEigen[nSols];
+ for ( i = 0; i < nSols; i++ )
+ {
+ pVecCur = p->pEigen[i];
+ Emb_ManVecRandom( pVecTemp, nDims );
+ Emb_ManVecNormal( pVecTemp, nDims );
+ do {
+ Emb_ManVecCopyOne( pVecCur, pVecTemp, nDims );
+ for ( j = 0; j < i; j++ )
+ Emb_ManVecOrthogonolize( p->pEigen, i, pVecCur, nDims );
+ Emb_ManVecMultiply( p->pMatr, pVecCur, nDims, pVecTemp );
+ Emb_ManVecNormal( pVecTemp, nDims );
+ } while ( Emb_ManVecMultiplyOne(pVecTemp, pVecCur, nDims) < 0.999 );
+ Emb_ManVecCopyOne( pVecCur, pVecTemp, nDims );
+ }
+ assert( p->pSols == NULL );
+ p->pSols = ABC_CALLOC( float, p->nObjs * nSols );
+ for ( i = 0; i < nSols; i++ )
+ for ( k = 0; k < nDims; k++ )
+ for ( j = 0; j < p->nObjs; j++ )
+ Emb_ManSol(p, i)[j] += Emb_ManVec(p, k)[j] * p->pEigen[i][k];
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes dimentions of the graph.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Gia_ManSolveProblem( Gia_Man_t * pGia, int nDims, int nSols )
+{
+ Emb_Man_t * p;
+ int clk;
+// Gia_ManTestDistance( pGia );
+
+clk = clock();
+ p = Emb_ManStart( pGia );
+// Emb_ManPrintFanio( p );
+ Emb_ManPrintStats( p );
+ Aig_ManRandom( 1 );
+ Emb_ManResetTravId( p );
+ // set all nodes to have their IDs
+ Emb_ManSetValue( p );
+ABC_PRT( "Setup ", clock() - clk );
+
+clk = clock();
+ Emb_ManComputeDimensions( p, nDims );
+ABC_PRT( "Dimensions", clock() - clk );
+
+clk = clock();
+ Emb_ManComputeCovariance( p, nDims );
+ABC_PRT( "Matrix ", clock() - clk );
+
+clk = clock();
+// Emb_ManComputeSolutions( p, nDims, nSols );
+ABC_PRT( "Eigenvecs ", clock() - clk );
+
+ Emb_ManStop( p );
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+