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-/**CFile****************************************************************
-
- FileName [darBalance.c]
-
- SystemName [ABC: Logic synthesis and verification system.]
-
- PackageName [DAG-aware AIG rewriting.]
-
- Synopsis [Algebraic AIG balancing.]
-
- Author [Alan Mishchenko]
-
- Affiliation [UC Berkeley]
-
- Date [Ver. 1.0. Started - April 28, 2007.]
-
- Revision [$Id: darBalance.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
-
-***********************************************************************/
-
-#include "darInt.h"
-
-////////////////////////////////////////////////////////////////////////
-/// DECLARATIONS ///
-////////////////////////////////////////////////////////////////////////
-
-static Aig_Obj_t * Dar_Balance_rec( Aig_Man_t * pNew, Aig_Obj_t * pObj, Vec_Vec_t * vStore, int Level, int fUpdateLevel );
-static Vec_Ptr_t * Dar_BalanceCone( Aig_Obj_t * pObj, Vec_Vec_t * vStore, int Level );
-static int Dar_BalanceFindLeft( Vec_Ptr_t * vSuper );
-static void Dar_BalancePermute( Aig_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor );
-static void Dar_BalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Aig_Obj_t * pObj );
-static Aig_Obj_t * Dar_BalanceBuildSuper( Aig_Man_t * p, Vec_Ptr_t * vSuper, Aig_Type_t Type, int fUpdateLevel );
-
-////////////////////////////////////////////////////////////////////////
-/// FUNCTION DEFINITIONS ///
-////////////////////////////////////////////////////////////////////////
-
-/**Function*************************************************************
-
- Synopsis [Performs algebraic balancing of the AIG.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-Aig_Man_t * Dar_ManBalance( Aig_Man_t * p, int fUpdateLevel )
-{
- Aig_Man_t * pNew;
- Aig_Obj_t * pObj, * pDriver, * pObjNew;
- Vec_Vec_t * vStore;
- int i;
- // create the new manager
- pNew = Aig_ManStart( Aig_ManObjNumMax(p) );
- pNew->pName = Aig_UtilStrsav( p->pName );
- pNew->nRegs = p->nRegs;
- pNew->nAsserts = p->nAsserts;
- if ( p->vFlopNums )
- pNew->vFlopNums = Vec_IntDup( p->vFlopNums );
- // map the PI nodes
- Aig_ManCleanData( p );
- Aig_ManConst1(p)->pData = Aig_ManConst1(pNew);
- Aig_ManForEachPi( p, pObj, i )
- pObj->pData = Aig_ObjCreatePi(pNew);
- // balance the AIG
- vStore = Vec_VecAlloc( 50 );
- Aig_ManForEachPo( p, pObj, i )
- {
- pDriver = Aig_ObjReal_rec( Aig_ObjChild0(pObj) );
- pObjNew = Dar_Balance_rec( pNew, Aig_Regular(pDriver), vStore, 0, fUpdateLevel );
- pObjNew = Aig_NotCond( pObjNew, Aig_IsComplement(pDriver) );
- Aig_ObjCreatePo( pNew, pObjNew );
- }
- Vec_VecFree( vStore );
- // remove dangling nodes
- if ( (i = Aig_ManCleanup( pNew )) )
- {
-// printf( "Cleanup after balancing removed %d dangling nodes.\n", i );
- }
- // check the resulting AIG
- if ( !Aig_ManCheck(pNew) )
- printf( "Dar_ManBalance(): The check has failed.\n" );
- return pNew;
-}
-
-/**Function*************************************************************
-
- Synopsis [Returns the new node constructed.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-Aig_Obj_t * Dar_Balance_rec( Aig_Man_t * pNew, Aig_Obj_t * pObjOld, Vec_Vec_t * vStore, int Level, int fUpdateLevel )
-{
- Aig_Obj_t * pObjNew;
- Vec_Ptr_t * vSuper;
- int i;
- assert( !Aig_IsComplement(pObjOld) );
- assert( !Aig_ObjIsBuf(pObjOld) );
- // return if the result is known
- if ( pObjOld->pData )
- return pObjOld->pData;
- assert( Aig_ObjIsNode(pObjOld) );
- // get the implication supergate
- vSuper = Dar_BalanceCone( pObjOld, vStore, Level );
- // check if supergate contains two nodes in the opposite polarity
- if ( vSuper->nSize == 0 )
- return pObjOld->pData = Aig_ManConst0(pNew);
- if ( Vec_PtrSize(vSuper) < 2 )
- printf( "BUG!\n" );
- // for each old node, derive the new well-balanced node
- for ( i = 0; i < Vec_PtrSize(vSuper); i++ )
- {
- pObjNew = Dar_Balance_rec( pNew, Aig_Regular(vSuper->pArray[i]), vStore, Level + 1, fUpdateLevel );
- vSuper->pArray[i] = Aig_NotCond( pObjNew, Aig_IsComplement(vSuper->pArray[i]) );
- }
- // build the supergate
- pObjNew = Dar_BalanceBuildSuper( pNew, vSuper, Aig_ObjType(pObjOld), fUpdateLevel );
- // make sure the balanced node is not assigned
-// assert( pObjOld->Level >= Aig_Regular(pObjNew)->Level );
- assert( pObjOld->pData == NULL );
- return pObjOld->pData = pObjNew;
-}
-
-/**Function*************************************************************
-
- Synopsis [Collects the nodes of the supergate.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Dar_BalanceCone_rec( Aig_Obj_t * pRoot, Aig_Obj_t * pObj, Vec_Ptr_t * vSuper )
-{
- int RetValue1, RetValue2, i;
- // check if the node is visited
- if ( Aig_Regular(pObj)->fMarkB )
- {
- // check if the node occurs in the same polarity
- for ( i = 0; i < vSuper->nSize; i++ )
- if ( vSuper->pArray[i] == pObj )
- return 1;
- // check if the node is present in the opposite polarity
- for ( i = 0; i < vSuper->nSize; i++ )
- if ( vSuper->pArray[i] == Aig_Not(pObj) )
- return -1;
- assert( 0 );
- return 0;
- }
- // if the new node is complemented or a PI, another gate begins
- if ( pObj != pRoot && (Aig_IsComplement(pObj) || Aig_ObjType(pObj) != Aig_ObjType(pRoot) || Aig_ObjRefs(pObj) > 1) )
- {
- Vec_PtrPush( vSuper, pObj );
- Aig_Regular(pObj)->fMarkB = 1;
- return 0;
- }
- assert( !Aig_IsComplement(pObj) );
- assert( Aig_ObjIsNode(pObj) );
- // go through the branches
- RetValue1 = Dar_BalanceCone_rec( pRoot, Aig_ObjReal_rec( Aig_ObjChild0(pObj) ), vSuper );
- RetValue2 = Dar_BalanceCone_rec( pRoot, Aig_ObjReal_rec( Aig_ObjChild1(pObj) ), vSuper );
- if ( RetValue1 == -1 || RetValue2 == -1 )
- return -1;
- // return 1 if at least one branch has a duplicate
- return RetValue1 || RetValue2;
-}
-
-/**Function*************************************************************
-
- Synopsis [Collects the nodes of the supergate.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-Vec_Ptr_t * Dar_BalanceCone( Aig_Obj_t * pObj, Vec_Vec_t * vStore, int Level )
-{
- Vec_Ptr_t * vNodes;
- int RetValue, i;
- assert( !Aig_IsComplement(pObj) );
- // extend the storage
- if ( Vec_VecSize( vStore ) <= Level )
- Vec_VecPush( vStore, Level, 0 );
- // get the temporary array of nodes
- vNodes = Vec_VecEntry( vStore, Level );
- Vec_PtrClear( vNodes );
- // collect the nodes in the implication supergate
- RetValue = Dar_BalanceCone_rec( pObj, pObj, vNodes );
- assert( vNodes->nSize > 1 );
- // unmark the visited nodes
- Vec_PtrForEachEntry( vNodes, pObj, i )
- Aig_Regular(pObj)->fMarkB = 0;
- // if we found the node and its complement in the same implication supergate,
- // return empty set of nodes (meaning that we should use constant-0 node)
- if ( RetValue == -1 )
- vNodes->nSize = 0;
- return vNodes;
-}
-
-/**Function*************************************************************
-
- Synopsis [Procedure used for sorting the nodes in decreasing order of levels.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Aig_NodeCompareLevelsDecrease( Aig_Obj_t ** pp1, Aig_Obj_t ** pp2 )
-{
- int Diff = Aig_ObjLevel(Aig_Regular(*pp1)) - Aig_ObjLevel(Aig_Regular(*pp2));
- if ( Diff > 0 )
- return -1;
- if ( Diff < 0 )
- return 1;
- return 0;
-}
-
-/**Function*************************************************************
-
- Synopsis [Builds implication supergate.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-Aig_Obj_t * Dar_BalanceBuildSuper( Aig_Man_t * p, Vec_Ptr_t * vSuper, Aig_Type_t Type, int fUpdateLevel )
-{
- Aig_Obj_t * pObj1, * pObj2;
- int LeftBound;
- assert( vSuper->nSize > 1 );
- // sort the new nodes by level in the decreasing order
- Vec_PtrSort( vSuper, Aig_NodeCompareLevelsDecrease );
- // balance the nodes
- while ( vSuper->nSize > 1 )
- {
- // find the left bound on the node to be paired
- LeftBound = (!fUpdateLevel)? 0 : Dar_BalanceFindLeft( vSuper );
- // find the node that can be shared (if no such node, randomize choice)
- Dar_BalancePermute( p, vSuper, LeftBound, Type == AIG_OBJ_EXOR );
- // pull out the last two nodes
- pObj1 = Vec_PtrPop(vSuper);
- pObj2 = Vec_PtrPop(vSuper);
- Dar_BalancePushUniqueOrderByLevel( vSuper, Aig_Oper(p, pObj1, pObj2, Type) );
- }
- return Vec_PtrEntry(vSuper, 0);
-}
-
-/**Function*************************************************************
-
- Synopsis [Finds the left bound on the next candidate to be paired.]
-
- Description [The nodes in the array are in the decreasing order of levels.
- The last node in the array has the smallest level. By default it would be paired
- with the next node on the left. However, it may be possible to pair it with some
- other node on the left, in such a way that the new node is shared. This procedure
- finds the index of the left-most node, which can be paired with the last node.]
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Dar_BalanceFindLeft( Vec_Ptr_t * vSuper )
-{
- Aig_Obj_t * pObjRight, * pObjLeft;
- int Current;
- // if two or less nodes, pair with the first
- if ( Vec_PtrSize(vSuper) < 3 )
- return 0;
- // set the pointer to the one before the last
- Current = Vec_PtrSize(vSuper) - 2;
- pObjRight = Vec_PtrEntry( vSuper, Current );
- // go through the nodes to the left of this one
- for ( Current--; Current >= 0; Current-- )
- {
- // get the next node on the left
- pObjLeft = Vec_PtrEntry( vSuper, Current );
- // if the level of this node is different, quit the loop
- if ( Aig_ObjLevel(Aig_Regular(pObjLeft)) != Aig_ObjLevel(Aig_Regular(pObjRight)) )
- break;
- }
- Current++;
- // get the node, for which the equality holds
- pObjLeft = Vec_PtrEntry( vSuper, Current );
- assert( Aig_ObjLevel(Aig_Regular(pObjLeft)) == Aig_ObjLevel(Aig_Regular(pObjRight)) );
- return Current;
-}
-
-/**Function*************************************************************
-
- Synopsis [Moves closer to the end the node that is best for sharing.]
-
- Description [If there is no node with sharing, randomly chooses one of
- the legal nodes.]
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Dar_BalancePermute( Aig_Man_t * p, Vec_Ptr_t * vSuper, int LeftBound, int fExor )
-{
- Aig_Obj_t * pObj1, * pObj2, * pObj3, * pGhost;
- int RightBound, i;
- // get the right bound
- RightBound = Vec_PtrSize(vSuper) - 2;
- assert( LeftBound <= RightBound );
- if ( LeftBound == RightBound )
- return;
- // get the two last nodes
- pObj1 = Vec_PtrEntry( vSuper, RightBound + 1 );
- pObj2 = Vec_PtrEntry( vSuper, RightBound );
- if ( Aig_Regular(pObj1) == p->pConst1 || Aig_Regular(pObj2) == p->pConst1 )
- return;
- // find the first node that can be shared
- for ( i = RightBound; i >= LeftBound; i-- )
- {
- pObj3 = Vec_PtrEntry( vSuper, i );
- if ( Aig_Regular(pObj3) == p->pConst1 )
- {
- Vec_PtrWriteEntry( vSuper, i, pObj2 );
- Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
- return;
- }
- pGhost = Aig_ObjCreateGhost( p, pObj1, pObj3, fExor? AIG_OBJ_EXOR : AIG_OBJ_AND );
- if ( Aig_TableLookup( p, pGhost ) )
- {
- if ( pObj3 == pObj2 )
- return;
- Vec_PtrWriteEntry( vSuper, i, pObj2 );
- Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
- return;
- }
- }
-/*
- // we did not find the node to share, randomize choice
- {
- int Choice = rand() % (RightBound - LeftBound + 1);
- pObj3 = Vec_PtrEntry( vSuper, LeftBound + Choice );
- if ( pObj3 == pObj2 )
- return;
- Vec_PtrWriteEntry( vSuper, LeftBound + Choice, pObj2 );
- Vec_PtrWriteEntry( vSuper, RightBound, pObj3 );
- }
-*/
-}
-
-/**Function*************************************************************
-
- Synopsis [Inserts a new node in the order by levels.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Dar_BalancePushUniqueOrderByLevel( Vec_Ptr_t * vStore, Aig_Obj_t * pObj )
-{
- Aig_Obj_t * pObj1, * pObj2;
- int i;
- if ( Vec_PtrPushUnique(vStore, pObj) )
- return;
- // find the p of the node
- for ( i = vStore->nSize-1; i > 0; i-- )
- {
- pObj1 = vStore->pArray[i ];
- pObj2 = vStore->pArray[i-1];
- if ( Aig_ObjLevel(Aig_Regular(pObj1)) <= Aig_ObjLevel(Aig_Regular(pObj2)) )
- break;
- vStore->pArray[i ] = pObj2;
- vStore->pArray[i-1] = pObj1;
- }
-}
-
-
-////////////////////////////////////////////////////////////////////////
-/// END OF FILE ///
-////////////////////////////////////////////////////////////////////////
-
-