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/**CFile****************************************************************
FileName [llb2Sweep.c]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [BDD based reachability.]
Synopsis [Non-linear quantification scheduling.]
Author [Alan Mishchenko]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - June 20, 2005.]
Revision [$Id: llb2Sweep.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
***********************************************************************/
#include "llbInt.h"
ABC_NAMESPACE_IMPL_START
////////////////////////////////////////////////////////////////////////
/// DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
/**Function*************************************************************
Synopsis [Find good static variable ordering.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Llb_Nonlin4SweepOrder_rec( Aig_Man_t * pAig, Aig_Obj_t * pObj, Vec_Int_t * vOrder, int * pCounter, int fSaveAll )
{
Aig_Obj_t * pFanin0, * pFanin1;
if ( Aig_ObjIsTravIdCurrent(pAig, pObj) )
return;
Aig_ObjSetTravIdCurrent( pAig, pObj );
assert( Llb_ObjBddVar(vOrder, pObj) < 0 );
if ( Aig_ObjIsCi(pObj) )
{
Vec_IntWriteEntry( vOrder, Aig_ObjId(pObj), (*pCounter)++ );
return;
}
// try fanins with higher level first
pFanin0 = Aig_ObjFanin0(pObj);
pFanin1 = Aig_ObjFanin1(pObj);
// if ( pFanin0->Level > pFanin1->Level || (pFanin0->Level == pFanin1->Level && pFanin0->Id < pFanin1->Id) )
if ( pFanin0->Level > pFanin1->Level )
{
Llb_Nonlin4SweepOrder_rec( pAig, pFanin0, vOrder, pCounter, fSaveAll );
Llb_Nonlin4SweepOrder_rec( pAig, pFanin1, vOrder, pCounter, fSaveAll );
}
else
{
Llb_Nonlin4SweepOrder_rec( pAig, pFanin1, vOrder, pCounter, fSaveAll );
Llb_Nonlin4SweepOrder_rec( pAig, pFanin0, vOrder, pCounter, fSaveAll );
}
if ( fSaveAll || pObj->fMarkA )
Vec_IntWriteEntry( vOrder, Aig_ObjId(pObj), (*pCounter)++ );
}
/**Function*************************************************************
Synopsis [Find good static variable ordering.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Vec_Int_t * Llb_Nonlin4SweepOrder( Aig_Man_t * pAig, int * pCounter, int fSaveAll )
{
Vec_Int_t * vOrder;
Aig_Obj_t * pObj;
int i, Counter = 0;
// collect nodes in the order
vOrder = Vec_IntStartFull( Aig_ManObjNumMax(pAig) );
Aig_ManIncrementTravId( pAig );
Aig_ObjSetTravIdCurrent( pAig, Aig_ManConst1(pAig) );
Aig_ManForEachCo( pAig, pObj, i )
{
Vec_IntWriteEntry( vOrder, Aig_ObjId(pObj), Counter++ );
Llb_Nonlin4SweepOrder_rec( pAig, Aig_ObjFanin0(pObj), vOrder, &Counter, fSaveAll );
}
Aig_ManForEachCi( pAig, pObj, i )
if ( Llb_ObjBddVar(vOrder, pObj) < 0 )
Vec_IntWriteEntry( vOrder, Aig_ObjId(pObj), Counter++ );
// assert( Counter == Aig_ManObjNum(pAig) - 1 ); // no dangling nodes
if ( pCounter )
*pCounter = Counter - Aig_ManCiNum(pAig) - Aig_ManCoNum(pAig);
return vOrder;
}
/**Function*************************************************************
Synopsis [Performs BDD sweep on the netlist.]
Description [Returns AIG with internal cut points labeled with fMarkA.]
SideEffects []
SeeAlso []
***********************************************************************/
int Llb4_Nonlin4SweepCutpoints( Aig_Man_t * pAig, Vec_Int_t * vOrder, int nBddLimit, int fVerbose )
{
DdManager * dd;
DdNode * bFunc0, * bFunc1, * bFunc;
Aig_Obj_t * pObj;
int i, Counter = 0, Counter1 = 0;
dd = Cudd_Init( Aig_ManObjNumMax(pAig), 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
// assign elementary variables
Aig_ManCleanData( pAig );
Aig_ManForEachCi( pAig, pObj, i )
pObj->pData = Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, pObj) );
// sweep internal nodes
Aig_ManForEachNode( pAig, pObj, i )
{
/*
if ( pObj->nRefs >= 4 )
{
bFunc = Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, pObj) ); Cudd_Ref( bFunc );
pObj->pData = bFunc;
Counter1++;
continue;
}
*/
bFunc0 = Cudd_NotCond( (DdNode *)Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
bFunc1 = Cudd_NotCond( (DdNode *)Aig_ObjFanin1(pObj)->pData, Aig_ObjFaninC1(pObj) );
bFunc = Cudd_bddAnd( dd, bFunc0, bFunc1 ); Cudd_Ref( bFunc );
if ( Cudd_DagSize(bFunc) > nBddLimit )
{
// if ( fVerbose )
// printf( "Node %5d : Beg =%5d. ", i, Cudd_DagSize(bFunc) );
// add cutpoint at a larger one
Cudd_RecursiveDeref( dd, bFunc );
if ( Cudd_DagSize(bFunc0) >= Cudd_DagSize(bFunc1) )
{
Cudd_RecursiveDeref( dd, (DdNode *)Aig_ObjFanin0(pObj)->pData );
bFunc = Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, Aig_ObjFanin0(pObj)) );
Aig_ObjFanin0(pObj)->pData = bFunc; Cudd_Ref( bFunc );
Aig_ObjFanin0(pObj)->fMarkA = 1;
// if ( fVerbose )
// printf( "Ref =%3d ", Aig_ObjFanin0(pObj)->nRefs );
}
else
{
Cudd_RecursiveDeref( dd, (DdNode *)Aig_ObjFanin1(pObj)->pData );
bFunc = Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, Aig_ObjFanin1(pObj)) );
Aig_ObjFanin1(pObj)->pData = bFunc; Cudd_Ref( bFunc );
Aig_ObjFanin1(pObj)->fMarkA = 1;
// if ( fVerbose )
// printf( "Ref =%3d ", Aig_ObjFanin1(pObj)->nRefs );
}
// perform new operation
bFunc0 = Cudd_NotCond( (DdNode *)Aig_ObjFanin0(pObj)->pData, Aig_ObjFaninC0(pObj) );
bFunc1 = Cudd_NotCond( (DdNode *)Aig_ObjFanin1(pObj)->pData, Aig_ObjFaninC1(pObj) );
bFunc = Cudd_bddAnd( dd, bFunc0, bFunc1 ); Cudd_Ref( bFunc );
// assert( Cudd_DagSize(bFunc) <= nBddLimit );
// if ( fVerbose )
// printf( "End =%5d.\n", Cudd_DagSize(bFunc) );
Counter++;
}
pObj->pData = bFunc;
//printf( "%d ", Cudd_DagSize(bFunc) );
}
//printf( "\n" );
// clean up
Aig_ManForEachNode( pAig, pObj, i )
Cudd_RecursiveDeref( dd, (DdNode *)pObj->pData );
Extra_StopManager( dd );
// Aig_ManCleanMarkA( pAig );
if ( fVerbose )
printf( "Added %d cut points. Used %d high fanout points.\n", Counter, Counter1 );
return Counter + Counter1;
}
/**Function*************************************************************
Synopsis [Derives BDDs for the partitions.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Llb_Nonlin4SweepPartitions_rec( DdManager * dd, Aig_Obj_t * pObj, Vec_Int_t * vOrder, Vec_Ptr_t * vRoots )
{
DdNode * bBdd, * bBdd0, * bBdd1, * bPart, * vVar;
if ( Aig_ObjIsConst1(pObj) )
return Cudd_ReadOne(dd);
if ( Aig_ObjIsCi(pObj) )
return Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, pObj) );
if ( pObj->pData )
return (DdNode *)pObj->pData;
if ( Aig_ObjIsCo(pObj) )
{
bBdd0 = Cudd_NotCond( Llb_Nonlin4SweepPartitions_rec(dd, Aig_ObjFanin0(pObj), vOrder, vRoots), Aig_ObjFaninC0(pObj) );
bPart = Cudd_bddXnor( dd, Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, pObj) ), bBdd0 ); Cudd_Ref( bPart );
Vec_PtrPush( vRoots, bPart );
return NULL;
}
bBdd0 = Cudd_NotCond( Llb_Nonlin4SweepPartitions_rec(dd, Aig_ObjFanin0(pObj), vOrder, vRoots), Aig_ObjFaninC0(pObj) );
bBdd1 = Cudd_NotCond( Llb_Nonlin4SweepPartitions_rec(dd, Aig_ObjFanin1(pObj), vOrder, vRoots), Aig_ObjFaninC1(pObj) );
bBdd = Cudd_bddAnd( dd, bBdd0, bBdd1 ); Cudd_Ref( bBdd );
if ( Llb_ObjBddVar(vOrder, pObj) >= 0 )
{
vVar = Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, pObj) );
bPart = Cudd_bddXnor( dd, vVar, bBdd ); Cudd_Ref( bPart );
Vec_PtrPush( vRoots, bPart );
Cudd_RecursiveDeref( dd, bBdd );
bBdd = vVar; Cudd_Ref( vVar );
}
pObj->pData = bBdd;
return bBdd;
}
/**Function*************************************************************
Synopsis [Derives BDDs for the partitions.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Vec_Ptr_t * Llb_Nonlin4SweepPartitions( DdManager * dd, Aig_Man_t * pAig, Vec_Int_t * vOrder, int fTransition )
{
Vec_Ptr_t * vRoots;
Aig_Obj_t * pObj;
int i;
Aig_ManCleanData( pAig );
vRoots = Vec_PtrAlloc( 100 );
if ( fTransition )
{
Saig_ManForEachLi( pAig, pObj, i )
Llb_Nonlin4SweepPartitions_rec( dd, pObj, vOrder, vRoots );
}
else
{
Saig_ManForEachPo( pAig, pObj, i )
Llb_Nonlin4SweepPartitions_rec( dd, pObj, vOrder, vRoots );
}
Aig_ManForEachNode( pAig, pObj, i )
if ( pObj->pData )
Cudd_RecursiveDeref( dd, (DdNode *)pObj->pData );
return vRoots;
}
/**Function*************************************************************
Synopsis [Get bad state monitor.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Llb4_Nonlin4SweepBadMonitor( Aig_Man_t * pAig, Vec_Int_t * vOrder, DdManager * dd )
{
Aig_Obj_t * pObj;
DdNode * bRes, * bVar, * bTemp;
int i;
abctime TimeStop;
TimeStop = dd->TimeStop; dd->TimeStop = 0;
bRes = Cudd_ReadOne( dd ); Cudd_Ref( bRes );
Saig_ManForEachPo( pAig, pObj, i )
{
bVar = Cudd_bddIthVar( dd, Llb_ObjBddVar(vOrder, pObj) );
bRes = Cudd_bddAnd( dd, bTemp = bRes, Cudd_Not(bVar) ); Cudd_Ref( bRes );
Cudd_RecursiveDeref( dd, bTemp );
}
Cudd_Deref( bRes );
dd->TimeStop = TimeStop;
return Cudd_Not(bRes);
}
/**Function*************************************************************
Synopsis [Creates quantifiable variables for both types of traversal.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Vec_Int_t * Llb_Nonlin4SweepVars2Q( Aig_Man_t * pAig, Vec_Int_t * vOrder, int fAddLis )
{
Vec_Int_t * vVars2Q;
Aig_Obj_t * pObj;
int i;
vVars2Q = Vec_IntAlloc( 0 );
Vec_IntFill( vVars2Q, Aig_ManObjNumMax(pAig), 1 );
// add flop outputs
Saig_ManForEachLo( pAig, pObj, i )
Vec_IntWriteEntry( vVars2Q, Llb_ObjBddVar(vOrder, pObj), 0 );
// add flop inputs
if ( fAddLis )
Saig_ManForEachLi( pAig, pObj, i )
Vec_IntWriteEntry( vVars2Q, Llb_ObjBddVar(vOrder, pObj), 0 );
return vVars2Q;
}
/**Function*************************************************************
Synopsis [Multiply every partition by the cube.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Llb_Nonlin4SweepDeref( DdManager * dd, Vec_Ptr_t * vParts )
{
DdNode * bFunc;
int i;
Vec_PtrForEachEntry( DdNode *, vParts, bFunc, i )
Cudd_RecursiveDeref( dd, bFunc );
Vec_PtrFree( vParts );
}
/**Function*************************************************************
Synopsis [Multiply every partition by the cube.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Llb_Nonlin4SweepPrint( Vec_Ptr_t * vFuncs )
{
DdNode * bFunc;
int i;
printf( "(%d) ", Vec_PtrSize(vFuncs) );
Vec_PtrForEachEntry( DdNode *, vFuncs, bFunc, i )
printf( "%d ", Cudd_DagSize(bFunc) );
printf( "\n" );
}
/**Function*************************************************************
Synopsis [Computes bad states.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdManager * Llb4_Nonlin4SweepBadStates( Aig_Man_t * pAig, Vec_Int_t * vOrder, int nVars )
{
DdManager * dd;
Vec_Ptr_t * vParts;
Vec_Int_t * vVars2Q;
DdNode * bMonitor, * bImage;
// get quantifiable variables
vVars2Q = Llb_Nonlin4SweepVars2Q( pAig, vOrder, 0 );
// start BDD manager and create partitions
dd = Cudd_Init( nVars, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
vParts = Llb_Nonlin4SweepPartitions( dd, pAig, vOrder, 0 );
//printf( "Outputs: " );
//Llb_Nonlin4SweepPrint( vParts );
// compute image of the partitions
bMonitor = Llb4_Nonlin4SweepBadMonitor( pAig, vOrder, dd ); Cudd_Ref( bMonitor );
Cudd_AutodynEnable( dd, CUDD_REORDER_SYMM_SIFT );
bImage = Llb_Nonlin4Image( dd, vParts, bMonitor, vVars2Q ); Cudd_Ref( bImage );
Cudd_RecursiveDeref( dd, bMonitor );
Llb_Nonlin4SweepDeref( dd, vParts );
Vec_IntFree( vVars2Q );
// save image and return
dd->bFunc = bImage;
return dd;
}
/**Function*************************************************************
Synopsis [Computes clusters.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdManager * Llb4_Nonlin4SweepGroups( Aig_Man_t * pAig, Vec_Int_t * vOrder, int nVars, Vec_Ptr_t ** pvGroups, int nBddLimitClp, int fVerbose )
{
DdManager * dd;
Vec_Ptr_t * vParts;
Vec_Int_t * vVars2Q;
// get quantifiable variables
vVars2Q = Llb_Nonlin4SweepVars2Q( pAig, vOrder, 1 );
// start BDD manager and create partitions
dd = Cudd_Init( nVars, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
vParts = Llb_Nonlin4SweepPartitions( dd, pAig, vOrder, 1 );
//printf( "Transitions: " );
//Llb_Nonlin4SweepPrint( vParts );
// compute image of the partitions
Cudd_AutodynEnable( dd, CUDD_REORDER_SYMM_SIFT );
*pvGroups = Llb_Nonlin4Group( dd, vParts, vVars2Q, nBddLimitClp );
Llb_Nonlin4SweepDeref( dd, vParts );
// *pvGroups = vParts;
if ( fVerbose )
{
printf( "Groups: " );
Llb_Nonlin4SweepPrint( *pvGroups );
}
Vec_IntFree( vVars2Q );
return dd;
}
/**Function*************************************************************
Synopsis [Creates quantifiable variables for both types of traversal.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Llb_Nonlin4SweepPrintSuppProfile( DdManager * dd, Aig_Man_t * pAig, Vec_Int_t * vOrder, Vec_Ptr_t * vGroups, int fVerbose )
{
Aig_Obj_t * pObj;
int i, * pSupp;
int nSuppAll = 0, nSuppPi = 0, nSuppPo = 0, nSuppLi = 0, nSuppLo = 0, nSuppAnd = 0;
pSupp = ABC_CALLOC( int, Cudd_ReadSize(dd) );
Extra_VectorSupportArray( dd, (DdNode **)Vec_PtrArray(vGroups), Vec_PtrSize(vGroups), pSupp );
Aig_ManForEachObj( pAig, pObj, i )
{
if ( Llb_ObjBddVar(vOrder, pObj) < 0 )
continue;
// remove variables that do not participate
if ( pSupp[Llb_ObjBddVar(vOrder, pObj)] == 0 )
{
if ( Aig_ObjIsNode(pObj) )
Vec_IntWriteEntry( vOrder, Aig_ObjId(pObj), -1 );
continue;
}
nSuppAll++;
if ( Saig_ObjIsPi(pAig, pObj) )
nSuppPi++;
else if ( Saig_ObjIsLo(pAig, pObj) )
nSuppLo++;
else if ( Saig_ObjIsPo(pAig, pObj) )
nSuppPo++;
else if ( Saig_ObjIsLi(pAig, pObj) )
nSuppLi++;
else
nSuppAnd++;
}
ABC_FREE( pSupp );
if ( fVerbose )
{
printf( "Groups =%3d ", Vec_PtrSize(vGroups) );
printf( "Variables: all =%4d ", nSuppAll );
printf( "pi =%4d ", nSuppPi );
printf( "po =%4d ", nSuppPo );
printf( "lo =%4d ", nSuppLo );
printf( "li =%4d ", nSuppLi );
printf( "and =%4d", nSuppAnd );
printf( "\n" );
}
}
/**Function*************************************************************
Synopsis [Performs BDD sweep on the netlist.]
Description [Returns BDD manager, ordering, clusters, and bad states
inside dd->bFunc.]
SideEffects []
SeeAlso []
***********************************************************************/
void Llb4_Nonlin4Sweep( Aig_Man_t * pAig, int nSweepMax, int nClusterMax, DdManager ** pdd, Vec_Int_t ** pvOrder, Vec_Ptr_t ** pvGroups, int fVerbose )
{
DdManager * ddBad, * ddWork;
Vec_Ptr_t * vGroups;
Vec_Int_t * vOrder;
int Counter, nCutPoints;
// get the original ordering
Aig_ManCleanMarkA( pAig );
vOrder = Llb_Nonlin4SweepOrder( pAig, &Counter, 1 );
assert( Counter == Aig_ManNodeNum(pAig) );
// mark the nodes
nCutPoints = Llb4_Nonlin4SweepCutpoints( pAig, vOrder, nSweepMax, fVerbose );
Vec_IntFree( vOrder );
// get better ordering
vOrder = Llb_Nonlin4SweepOrder( pAig, &Counter, 0 );
assert( Counter == nCutPoints );
Aig_ManCleanMarkA( pAig );
// compute the BAD states
ddBad = Llb4_Nonlin4SweepBadStates( pAig, vOrder, nCutPoints + Aig_ManCiNum(pAig) + Aig_ManCoNum(pAig) );
// compute the clusters
ddWork = Llb4_Nonlin4SweepGroups( pAig, vOrder, nCutPoints + Aig_ManCiNum(pAig) + Aig_ManCoNum(pAig), &vGroups, nClusterMax, fVerbose );
// transfer the result from the Bad manager
//printf( "Bad before = %d.\n", Cudd_DagSize(ddBad->bFunc) );
ddWork->bFunc = Cudd_bddTransfer( ddBad, ddWork, ddBad->bFunc ); Cudd_Ref( ddWork->bFunc );
Cudd_RecursiveDeref( ddBad, ddBad->bFunc ); ddBad->bFunc = NULL;
Extra_StopManager( ddBad );
// update ordering to exclude quantified variables
//printf( "Bad after = %d.\n", Cudd_DagSize(ddWork->bFunc) );
Llb_Nonlin4SweepPrintSuppProfile( ddWork, pAig, vOrder, vGroups, fVerbose );
// return the result
*pdd = ddWork;
*pvOrder = vOrder;
*pvGroups = vGroups;
}
/**Function*************************************************************
Synopsis [Performs BDD sweep on the netlist.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Llb4_Nonlin4SweepExperiment( Aig_Man_t * pAig )
{
DdManager * dd;
Vec_Int_t * vOrder;
Vec_Ptr_t * vGroups;
Llb4_Nonlin4Sweep( pAig, 100, 500, &dd, &vOrder, &vGroups, 1 );
Llb_Nonlin4SweepDeref( dd, vGroups );
Cudd_RecursiveDeref( dd, dd->bFunc );
Extra_StopManager( dd );
Vec_IntFree( vOrder );
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
ABC_NAMESPACE_IMPL_END
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