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+/**CFile****************************************************************
+
+ FileName [ivyRwrAlg.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [And-Inverter Graph package.]
+
+ Synopsis [Algebraic AIG rewriting.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - May 11, 2006.]
+
+ Revision [$Id: ivyRwrAlg.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "ivy.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static int Ivy_ManFindAlgCut( Ivy_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone );
+static Ivy_Obj_t * Ivy_NodeRewriteAlg( Ivy_Obj_t * pObj, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone, Vec_Ptr_t * vSols, int LevelR, int fUseZeroCost );
+static int Ivy_NodeCountMffc( Ivy_Obj_t * pNode );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Algebraic AIG rewriting.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManRewriteAlg( Ivy_Man_t * p, int fUpdateLevel, int fUseZeroCost )
+{
+ Vec_Int_t * vRequired;
+ Vec_Ptr_t * vFront, * vLeaves, * vCone, * vSol;
+ Ivy_Obj_t * pObj, * pResult;
+ int i, RetValue, LevelR, nNodesOld;
+ int CountUsed, CountUndo;
+ vRequired = fUpdateLevel? Ivy_ManRequiredLevels( p ) : NULL;
+ vFront = Vec_PtrAlloc( 100 );
+ vLeaves = Vec_PtrAlloc( 100 );
+ vCone = Vec_PtrAlloc( 100 );
+ vSol = Vec_PtrAlloc( 100 );
+ // go through the nodes in the topological order
+ CountUsed = CountUndo = 0;
+ nNodesOld = Ivy_ManObjIdNext(p);
+ Ivy_ManForEachObj( p, pObj, i )
+ {
+ assert( !Ivy_ObjIsBuf(pObj) );
+ if ( i >= nNodesOld )
+ break;
+ // skip no-nodes and MUX roots
+ if ( !Ivy_ObjIsNode(pObj) || Ivy_ObjIsExor(pObj) || Ivy_ObjIsMuxType(pObj) )
+ continue;
+// if ( pObj->Id > 297 ) // 296 --- 297
+// break;
+ if ( pObj->Id == 297 )
+ {
+ int x = 0;
+ }
+ // get the largest algebraic cut
+ RetValue = Ivy_ManFindAlgCut( pObj, vFront, vLeaves, vCone );
+ // the case of a trivial tree cut
+ if ( RetValue == 1 )
+ continue;
+ // the case of constant 0 cone
+ if ( RetValue == -1 )
+ {
+ Ivy_ObjReplace( pObj, Ivy_ManConst0(p), 1, 0, 1 );
+ continue;
+ }
+ assert( Vec_PtrSize(vLeaves) > 2 );
+ // get the required level for this node
+ LevelR = vRequired? Vec_IntEntry(vRequired, pObj->Id) : 1000000;
+ // create a new cone
+ pResult = Ivy_NodeRewriteAlg( pObj, vFront, vLeaves, vCone, vSol, LevelR, fUseZeroCost );
+ if ( pResult == NULL || pResult == pObj )
+ continue;
+ assert( Vec_PtrSize(vSol) == 1 || !Ivy_IsComplement(pResult) );
+ if ( Ivy_ObjLevel(Ivy_Regular(pResult)) > LevelR && Ivy_ObjRefs(Ivy_Regular(pResult)) == 0 )
+ Ivy_ObjDelete_rec(Ivy_Regular(pResult), 1), CountUndo++;
+ else
+ Ivy_ObjReplace( pObj, pResult, 1, 0, 1 ), CountUsed++;
+ }
+ printf( "Used = %d. Undo = %d.\n", CountUsed, CountUndo );
+ Vec_PtrFree( vFront );
+ Vec_PtrFree( vCone );
+ Vec_PtrFree( vSol );
+ if ( vRequired ) Vec_IntFree( vRequired );
+ if ( i = Ivy_ManCleanup(p) )
+ printf( "Cleanup after rewriting removed %d dangling nodes.\n", i );
+ if ( !Ivy_ManCheck(p) )
+ printf( "Ivy_ManRewriteAlg(): The check has failed.\n" );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Analizes one node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Ivy_Obj_t * Ivy_NodeRewriteAlg( Ivy_Obj_t * pObj, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone, Vec_Ptr_t * vSols, int LevelR, int fUseZeroCost )
+{
+ int fVerbose = 0;
+ Ivy_Obj_t * pTemp;
+ int k, Counter, nMffc, RetValue;
+
+ if ( fVerbose )
+ {
+ if ( Ivy_ObjIsExor(pObj) )
+ printf( "x " );
+ else
+ printf( " " );
+ }
+
+/*
+ printf( "%d ", Vec_PtrSize(vFront) );
+ printf( "( " );
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ printf( "%d ", Ivy_ObjRefs(Ivy_Regular(pTemp)) );
+ printf( ")\n" );
+*/
+ // collect nodes in the cone
+ if ( Ivy_ObjIsExor(pObj) )
+ Ivy_ManCollectCone( pObj, vFront, vCone );
+ else
+ Ivy_ManCollectCone( pObj, vLeaves, vCone );
+
+ // deref nodes in the cone
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ {
+ Ivy_ObjRefsDec( Ivy_ObjFanin0(pTemp) );
+ Ivy_ObjRefsDec( Ivy_ObjFanin1(pTemp) );
+ pTemp->fMarkB = 1;
+ }
+
+ // count the MFFC size
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ Ivy_Regular(pTemp)->fMarkA = 1;
+ nMffc = Ivy_NodeCountMffc( pObj );
+ Vec_PtrForEachEntry( vFront, pTemp, k )
+ Ivy_Regular(pTemp)->fMarkA = 0;
+
+ if ( fVerbose )
+ {
+ Counter = 0;
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ Counter += (Ivy_ObjRefs(pTemp) > 0);
+ printf( "%5d : Leaves = %2d. Cone = %2d. ConeRef = %2d. Mffc = %d. Lev = %d. LevR = %d.\n",
+ pObj->Id, Vec_PtrSize(vFront), Vec_PtrSize(vCone), Counter-1, nMffc, Ivy_ObjLevel(pObj), LevelR );
+ }
+/*
+ printf( "Leaves:" );
+ Vec_PtrForEachEntry( vLeaves, pTemp, k )
+ printf( " %d%s", Ivy_Regular(pTemp)->Id, Ivy_IsComplement(pTemp)? "\'" : "" );
+ printf( "\n" );
+ printf( "Cone:\n" );
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ printf( " %5d = %d%s %d%s\n", pTemp->Id,
+ Ivy_ObjFaninId0(pTemp), Ivy_ObjFaninC0(pTemp)? "\'" : "",
+ Ivy_ObjFaninId1(pTemp), Ivy_ObjFaninC1(pTemp)? "\'" : "" );
+*/
+
+ RetValue = Ivy_MultiPlus( vLeaves, vCone, Ivy_ObjType(pObj), nMffc + fUseZeroCost, vSols );
+
+ // ref nodes in the cone
+ Vec_PtrForEachEntry( vCone, pTemp, k )
+ {
+ Ivy_ObjRefsInc( Ivy_ObjFanin0(pTemp) );
+ Ivy_ObjRefsInc( Ivy_ObjFanin1(pTemp) );
+ pTemp->fMarkA = 0;
+ pTemp->fMarkB = 0;
+ }
+
+ if ( !RetValue )
+ return NULL;
+
+ if ( Vec_PtrSize( vSols ) == 1 )
+ return Vec_PtrEntry( vSols, 0 );
+ return Ivy_NodeBalanceBuildSuper( vSols, Ivy_ObjType(pObj), 1 );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Comparison for node pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCountMffc_rec( Ivy_Obj_t * pNode )
+{
+ if ( Ivy_ObjRefs(pNode) > 0 || Ivy_ObjIsCi(pNode) || pNode->fMarkA )
+ return 0;
+ assert( pNode->fMarkB );
+ pNode->fMarkA = 1;
+// printf( "%d ", pNode->Id );
+ if ( Ivy_ObjIsBuf(pNode) )
+ return Ivy_NodeCountMffc_rec( Ivy_ObjFanin0(pNode) );
+ return 1 + Ivy_NodeCountMffc_rec( Ivy_ObjFanin0(pNode) ) + Ivy_NodeCountMffc_rec( Ivy_ObjFanin1(pNode) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Comparison for node pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_NodeCountMffc( Ivy_Obj_t * pNode )
+{
+ assert( pNode->fMarkB );
+ return 1 + Ivy_NodeCountMffc_rec( Ivy_ObjFanin0(pNode) ) + Ivy_NodeCountMffc_rec( Ivy_ObjFanin1(pNode) );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Comparison for node pointers.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindAlgCutCompare( Ivy_Obj_t ** pp1, Ivy_Obj_t ** pp2 )
+{
+ if ( *pp1 < *pp2 )
+ return -1;
+ if ( *pp1 > *pp2 )
+ return 1;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computing one algebraic cut.]
+
+ Description [Returns 1 if the tree-leaves of this node where traversed
+ and found to have no external references (and have not been collected).
+ Returns 0 if the tree-leaves have external references and are collected.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindAlgCut_rec( Ivy_Obj_t * pObj, Ivy_Type_t Type, Vec_Ptr_t * vFront, Vec_Ptr_t * vCone )
+{
+ int RetValue0, RetValue1;
+ Ivy_Obj_t * pObjR = Ivy_Regular(pObj);
+ assert( !Ivy_ObjIsBuf(pObjR) );
+ assert( Type != IVY_EXOR || !Ivy_IsComplement(pObj) );
+
+ // make sure the node is not visited twice in different polarities
+ if ( Ivy_IsComplement(pObj) )
+ { // if complemented, mark B
+ if ( pObjR->fMarkA )
+ return -1;
+ pObjR->fMarkB = 1;
+ }
+ else
+ { // if non-complicated, mark A
+ if ( pObjR->fMarkB )
+ return -1;
+ pObjR->fMarkA = 1;
+ }
+ Vec_PtrPush( vCone, pObjR );
+
+ // if the node is the end of the tree, return
+ if ( Ivy_IsComplement(pObj) || Ivy_ObjType(pObj) != Type )
+ {
+ if ( Ivy_ObjRefs(pObjR) == 1 )
+ return 1;
+ assert( Ivy_ObjRefs(pObjR) > 1 );
+ Vec_PtrPush( vFront, pObj );
+ return 0;
+ }
+
+ // branch on the node
+ assert( !Ivy_IsComplement(pObj) );
+ assert( Ivy_ObjIsNode(pObj) );
+ // what if buffer has more than one fanout???
+ RetValue0 = Ivy_ManFindAlgCut_rec( Ivy_ObjReal( Ivy_ObjChild0(pObj) ), Type, vFront, vCone );
+ RetValue1 = Ivy_ManFindAlgCut_rec( Ivy_ObjReal( Ivy_ObjChild1(pObj) ), Type, vFront, vCone );
+ if ( RetValue0 == -1 || RetValue1 == -1 )
+ return -1;
+
+ // the case when both have no external references
+ if ( RetValue0 && RetValue1 )
+ {
+ if ( Ivy_ObjRefs(pObj) == 1 )
+ return 1;
+ assert( Ivy_ObjRefs(pObj) > 1 );
+ Vec_PtrPush( vFront, pObj );
+ return 0;
+ }
+ // the case when one of them has external references
+ if ( RetValue0 )
+ Vec_PtrPush( vFront, Ivy_ObjReal( Ivy_ObjChild0(pObj) ) );
+ if ( RetValue1 )
+ Vec_PtrPush( vFront, Ivy_ObjReal( Ivy_ObjChild1(pObj) ) );
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computing one algebraic cut.]
+
+ Description [Algebraic cut stops when we hit (a) CI, (b) complemented edge,
+ (c) boundary of different gates. Returns 1 if this is a pure tree.
+ Returns -1 if the contant 0 is detected. Return 0 if the array can be used.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Ivy_ManFindAlgCut( Ivy_Obj_t * pRoot, Vec_Ptr_t * vFront, Vec_Ptr_t * vLeaves, Vec_Ptr_t * vCone )
+{
+ Ivy_Obj_t * pObj, * pPrev;
+ int RetValue, i;
+ assert( !Ivy_IsComplement(pRoot) );
+ assert( Ivy_ObjIsNode(pRoot) );
+ // clear the frontier and collect the nodes
+ Vec_PtrClear( vCone );
+ Vec_PtrClear( vFront );
+ Vec_PtrClear( vLeaves );
+ RetValue = Ivy_ManFindAlgCut_rec( pRoot, Ivy_ObjType(pRoot), vFront, vCone );
+ // clean the marks
+ Vec_PtrForEachEntry( vCone, pObj, i )
+ pObj->fMarkA = pObj->fMarkB = 0;
+ // quit if the same node is found in both polarities
+ if ( RetValue == -1 )
+ return -1;
+ // return if the node is the root of a tree
+ if ( RetValue == 1 )
+ return 1;
+ // return if the cut is composed of two nodes
+ if ( Vec_PtrSize(vFront) <= 2 )
+ return 1;
+ // sort the entries in increasing order
+ Vec_PtrSort( vFront, Ivy_ManFindAlgCutCompare );
+ // remove duplicates from vFront and save the nodes in vLeaves
+ pPrev = Vec_PtrEntry(vFront, 0);
+ Vec_PtrPush( vLeaves, pPrev );
+ Vec_PtrForEachEntryStart( vFront, pObj, i, 1 )
+ {
+ // compare current entry and the previous entry
+ if ( pObj == pPrev )
+ {
+ if ( Ivy_ObjIsExor(pRoot) ) // A <+> A = 0
+ {
+ // vLeaves are no longer structural support of pRoot!!!
+ Vec_PtrPop(vLeaves);
+ pPrev = Vec_PtrSize(vLeaves) == 0 ? NULL : Vec_PtrEntryLast(vLeaves);
+ }
+ continue;
+ }
+ if ( pObj == Ivy_Not(pPrev) )
+ {
+ assert( Ivy_ObjIsAnd(pRoot) );
+ return -1;
+ }
+ pPrev = pObj;
+ Vec_PtrPush( vLeaves, pObj );
+ }
+ if ( Vec_PtrSize(vLeaves) == 0 )
+ return -1;
+ if ( Vec_PtrSize(vLeaves) <= 2 )
+ return 1;
+ return 0;
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+