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+/**CFile****************************************************************
+
+ FileName [fraigUtil.c]
+
+ PackageName [FRAIG: Functionally reduced AND-INV graphs.]
+
+ Synopsis [Various utilities.]
+
+ Author [Alan Mishchenko <alanmi@eecs.berkeley.edu>]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 2.0. Started - October 1, 2004]
+
+ Revision [$Id: fraigUtil.c,v 1.15 2005/07/08 01:01:34 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fraigInt.h"
+#include <limits.h>
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static int bit_count[256] = {
+ 0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8
+};
+
+static void Fraig_Dfs_rec( Fraig_Man_t * pMan, Fraig_Node_t * pNode, Fraig_NodeVec_t * vNodes, int fEquiv );
+static int Fraig_CheckTfi_rec( Fraig_Man_t * pMan, Fraig_Node_t * pNode, Fraig_Node_t * pOld );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis [Computes the DFS ordering of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fraig_NodeVec_t * Fraig_Dfs( Fraig_Man_t * pMan, int fEquiv )
+{
+ Fraig_NodeVec_t * vNodes;
+ int i;
+ pMan->nTravIds++;
+ vNodes = Fraig_NodeVecAlloc( 100 );
+ for ( i = 0; i < pMan->vOutputs->nSize; i++ )
+ Fraig_Dfs_rec( pMan, Fraig_Regular(pMan->vOutputs->pArray[i]), vNodes, fEquiv );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the DFS ordering of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fraig_NodeVec_t * Fraig_DfsOne( Fraig_Man_t * pMan, Fraig_Node_t * pNode, int fEquiv )
+{
+ Fraig_NodeVec_t * vNodes;
+ pMan->nTravIds++;
+ vNodes = Fraig_NodeVecAlloc( 100 );
+ Fraig_Dfs_rec( pMan, Fraig_Regular(pNode), vNodes, fEquiv );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the DFS ordering of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fraig_NodeVec_t * Fraig_DfsNodes( Fraig_Man_t * pMan, Fraig_Node_t ** ppNodes, int nNodes, int fEquiv )
+{
+ Fraig_NodeVec_t * vNodes;
+ int i;
+ pMan->nTravIds++;
+ vNodes = Fraig_NodeVecAlloc( 100 );
+ for ( i = 0; i < nNodes; i++ )
+ Fraig_Dfs_rec( pMan, Fraig_Regular(ppNodes[i]), vNodes, fEquiv );
+ return vNodes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recursively computes the DFS ordering of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_Dfs_rec( Fraig_Man_t * pMan, Fraig_Node_t * pNode, Fraig_NodeVec_t * vNodes, int fEquiv )
+{
+ assert( !Fraig_IsComplement(pNode) );
+ // skip the visited node
+ if ( pNode->TravId == pMan->nTravIds )
+ return;
+ pNode->TravId = pMan->nTravIds;
+ // visit the transitive fanin
+ if ( Fraig_NodeIsAnd(pNode) )
+ {
+ Fraig_Dfs_rec( pMan, Fraig_Regular(pNode->p1), vNodes, fEquiv );
+ Fraig_Dfs_rec( pMan, Fraig_Regular(pNode->p2), vNodes, fEquiv );
+ }
+ if ( fEquiv && pNode->pNextE )
+ Fraig_Dfs_rec( pMan, pNode->pNextE, vNodes, fEquiv );
+ // save the node
+ Fraig_NodeVecPush( vNodes, pNode );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Computes the DFS ordering of the nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_CountNodes( Fraig_Man_t * pMan, int fEquiv )
+{
+ Fraig_NodeVec_t * vNodes;
+ int RetValue;
+ vNodes = Fraig_Dfs( pMan, fEquiv );
+ RetValue = vNodes->nSize;
+ Fraig_NodeVecFree( vNodes );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pOld is in the TFI of pNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_CheckTfi( Fraig_Man_t * pMan, Fraig_Node_t * pOld, Fraig_Node_t * pNew )
+{
+ assert( !Fraig_IsComplement(pOld) );
+ assert( !Fraig_IsComplement(pNew) );
+ pMan->nTravIds++;
+ return Fraig_CheckTfi_rec( pMan, pNew, pOld );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pOld is in the TFI of pNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_CheckTfi_rec( Fraig_Man_t * pMan, Fraig_Node_t * pNode, Fraig_Node_t * pOld )
+{
+ // check the trivial cases
+ if ( pNode == NULL )
+ return 0;
+ if ( pNode->Num < pOld->Num && !pMan->fChoicing )
+ return 0;
+ if ( pNode == pOld )
+ return 1;
+ // skip the visited node
+ if ( pNode->TravId == pMan->nTravIds )
+ return 0;
+ pNode->TravId = pMan->nTravIds;
+ // check the children
+ if ( Fraig_CheckTfi_rec( pMan, Fraig_Regular(pNode->p1), pOld ) )
+ return 1;
+ if ( Fraig_CheckTfi_rec( pMan, Fraig_Regular(pNode->p2), pOld ) )
+ return 1;
+ // check equivalent nodes
+ return Fraig_CheckTfi_rec( pMan, pNode->pNextE, pOld );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if pOld is in the TFI of pNew.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_CheckTfi2( Fraig_Man_t * pMan, Fraig_Node_t * pOld, Fraig_Node_t * pNew )
+{
+ Fraig_NodeVec_t * vNodes;
+ int RetValue;
+ vNodes = Fraig_DfsOne( pMan, pNew, 1 );
+ RetValue = (pOld->TravId == pMan->nTravIds);
+ Fraig_NodeVecFree( vNodes );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets the number of fanouts (none, one, or many).]
+
+ Description [This procedure collects the nodes reachable from
+ the POs of the AIG and sets the type of fanout counter (none, one,
+ or many) for each node. This procedure is useful to determine
+ fanout-free cones of AND-nodes, which is helpful for rebalancing
+ the AIG (see procedure Fraig_ManRebalance, or something like that).]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_ManMarkRealFanouts( Fraig_Man_t * p )
+{
+ Fraig_NodeVec_t * vNodes;
+ Fraig_Node_t * pNodeR;
+ int i;
+ // collect the nodes reachable
+ vNodes = Fraig_Dfs( p, 0 );
+ // clean the fanouts field
+ for ( i = 0; i < vNodes->nSize; i++ )
+ {
+ vNodes->pArray[i]->nFanouts = 0;
+ vNodes->pArray[i]->pData0 = NULL;
+ }
+ // mark reachable nodes by setting the two-bit counter pNode->nFans
+ for ( i = 0; i < vNodes->nSize; i++ )
+ {
+ pNodeR = Fraig_Regular(vNodes->pArray[i]->p1);
+ if ( pNodeR && ++pNodeR->nFanouts == 3 )
+ pNodeR->nFanouts = 2;
+ pNodeR = Fraig_Regular(vNodes->pArray[i]->p2);
+ if ( pNodeR && ++pNodeR->nFanouts == 3 )
+ pNodeR->nFanouts = 2;
+ }
+ Fraig_NodeVecFree( vNodes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Creates the constant 1 node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_BitStringCountOnes( unsigned * pString, int nWords )
+{
+ unsigned char * pSuppBytes = (unsigned char *)pString;
+ int i, nOnes, nBytes = sizeof(unsigned) * nWords;
+ // count the number of ones in the simulation vector
+ for ( i = nOnes = 0; i < nBytes; i++ )
+ nOnes += bit_count[pSuppBytes[i]];
+ return nOnes;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Verify one useful property.]
+
+ Description [This procedure verifies one useful property. After
+ the FRAIG construction with choice nodes is over, each primary node
+ should have fanins that are primary nodes. The primary nodes is the
+ one that does not have pNode->pRepr set to point to another node.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_ManCheckConsistency( Fraig_Man_t * p )
+{
+ Fraig_Node_t * pNode;
+ Fraig_NodeVec_t * pVec;
+ int i;
+ pVec = Fraig_Dfs( p, 0 );
+ for ( i = 0; i < pVec->nSize; i++ )
+ {
+ pNode = pVec->pArray[i];
+ if ( Fraig_NodeIsVar(pNode) )
+ {
+ if ( pNode->pRepr )
+ printf( "Primary input %d is a secondary node.\n", pNode->Num );
+ }
+ else if ( Fraig_NodeIsConst(pNode) )
+ {
+ if ( pNode->pRepr )
+ printf( "Constant 1 %d is a secondary node.\n", pNode->Num );
+ }
+ else
+ {
+ if ( pNode->pRepr )
+ printf( "Internal node %d is a secondary node.\n", pNode->Num );
+ if ( Fraig_Regular(pNode->p1)->pRepr )
+ printf( "Internal node %d has first fanin %d that is a secondary node.\n",
+ pNode->Num, Fraig_Regular(pNode->p1)->Num );
+ if ( Fraig_Regular(pNode->p2)->pRepr )
+ printf( "Internal node %d has second fanin %d that is a secondary node.\n",
+ pNode->Num, Fraig_Regular(pNode->p2)->Num );
+ }
+ }
+ Fraig_NodeVecFree( pVec );
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the node.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_PrintNode( Fraig_Man_t * p, Fraig_Node_t * pNode )
+{
+ Fraig_NodeVec_t * vNodes;
+ Fraig_Node_t * pTemp;
+ int fCompl1, fCompl2, i;
+
+ vNodes = Fraig_DfsOne( p, pNode, 0 );
+ for ( i = 0; i < vNodes->nSize; i++ )
+ {
+ pTemp = vNodes->pArray[i];
+ if ( Fraig_NodeIsVar(pTemp) )
+ {
+ printf( "%3d : PI ", pTemp->Num );
+ Fraig_PrintBinary( stdout, (unsigned *)&pTemp->puSimR, 20 );
+ printf( " " );
+ Fraig_PrintBinary( stdout, (unsigned *)&pTemp->puSimD, 20 );
+ printf( " %d\n", pTemp->fInv );
+ continue;
+ }
+
+ fCompl1 = Fraig_IsComplement(pTemp->p1);
+ fCompl2 = Fraig_IsComplement(pTemp->p2);
+ printf( "%3d : %c%3d %c%3d ", pTemp->Num,
+ (fCompl1? '-':'+'), Fraig_Regular(pTemp->p1)->Num,
+ (fCompl2? '-':'+'), Fraig_Regular(pTemp->p2)->Num );
+ Fraig_PrintBinary( stdout, (unsigned *)&pTemp->puSimR, 20 );
+ printf( " " );
+ Fraig_PrintBinary( stdout, (unsigned *)&pTemp->puSimD, 20 );
+ printf( " %d\n", pTemp->fInv );
+ }
+ Fraig_NodeVecFree( vNodes );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Prints the bit string.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_PrintBinary( FILE * pFile, unsigned * pSign, int nBits )
+{
+ int Remainder, nWords;
+ int w, i;
+
+ Remainder = (nBits%(sizeof(unsigned)*8));
+ nWords = (nBits/(sizeof(unsigned)*8)) + (Remainder>0);
+
+ for ( w = nWords-1; w >= 0; w-- )
+ for ( i = ((w == nWords-1 && Remainder)? Remainder-1: 31); i >= 0; i-- )
+ fprintf( pFile, "%c", '0' + (int)((pSign[w] & (1<<i)) > 0) );
+
+// fprintf( pFile, "\n" );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Sets up the mask.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_GetMaxLevel( Fraig_Man_t * pMan )
+{
+ int nLevelMax, i;
+ nLevelMax = 0;
+ for ( i = 0; i < pMan->vOutputs->nSize; i++ )
+ nLevelMax = nLevelMax > Fraig_Regular(pMan->vOutputs->pArray[i])->Level?
+ nLevelMax : Fraig_Regular(pMan->vOutputs->pArray[i])->Level;
+ return nLevelMax;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Analyses choice nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_MappingUpdateLevel_rec( Fraig_Man_t * pMan, Fraig_Node_t * pNode, int fMaximum )
+{
+ Fraig_Node_t * pTemp;
+ int Level1, Level2, LevelE;
+ assert( !Fraig_IsComplement(pNode) );
+ if ( !Fraig_NodeIsAnd(pNode) )
+ return pNode->Level;
+ // skip the visited node
+ if ( pNode->TravId == pMan->nTravIds )
+ return pNode->Level;
+ pNode->TravId = pMan->nTravIds;
+ // compute levels of the children nodes
+ Level1 = Fraig_MappingUpdateLevel_rec( pMan, Fraig_Regular(pNode->p1), fMaximum );
+ Level2 = Fraig_MappingUpdateLevel_rec( pMan, Fraig_Regular(pNode->p2), fMaximum );
+ pNode->Level = 1 + FRAIG_MAX( Level1, Level2 );
+ if ( pNode->pNextE )
+ {
+ LevelE = Fraig_MappingUpdateLevel_rec( pMan, pNode->pNextE, fMaximum );
+ if ( fMaximum )
+ {
+ if ( pNode->Level < LevelE )
+ pNode->Level = LevelE;
+ }
+ else
+ {
+ if ( pNode->Level > LevelE )
+ pNode->Level = LevelE;
+ }
+ // set the level of all equivalent nodes to be the same minimum
+ if ( pNode->pRepr == NULL ) // the primary node
+ for ( pTemp = pNode->pNextE; pTemp; pTemp = pTemp->pNextE )
+ pTemp->Level = pNode->Level;
+ }
+ return pNode->Level;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Resets the levels of the nodes in the choice graph.]
+
+ Description [Makes the level of the choice nodes to be equal to the
+ maximum of the level of the nodes in the equivalence class. This way
+ sorting by level leads to the reverse topological order, which is
+ needed for the required time computation.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_MappingSetChoiceLevels( Fraig_Man_t * pMan, int fMaximum )
+{
+ int i;
+ pMan->nTravIds++;
+ for ( i = 0; i < pMan->vOutputs->nSize; i++ )
+ Fraig_MappingUpdateLevel_rec( pMan, Fraig_Regular(pMan->vOutputs->pArray[i]), fMaximum );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Reports statistics on choice nodes.]
+
+ Description [The number of choice nodes is the number of primary nodes,
+ which has pNextE set to a pointer. The number of choices is the number
+ of entries in the equivalent-node lists of the primary nodes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_ManReportChoices( Fraig_Man_t * pMan )
+{
+ Fraig_Node_t * pNode, * pTemp;
+ int nChoiceNodes, nChoices;
+ int i, LevelMax1, LevelMax2;
+
+ // report the number of levels
+ LevelMax1 = Fraig_GetMaxLevel( pMan );
+ Fraig_MappingSetChoiceLevels( pMan, 0 );
+ LevelMax2 = Fraig_GetMaxLevel( pMan );
+
+ // report statistics about choices
+ nChoiceNodes = nChoices = 0;
+ for ( i = 0; i < pMan->vNodes->nSize; i++ )
+ {
+ pNode = pMan->vNodes->pArray[i];
+ if ( pNode->pRepr == NULL && pNode->pNextE != NULL )
+ { // this is a choice node = the primary node that has equivalent nodes
+ nChoiceNodes++;
+ for ( pTemp = pNode; pTemp; pTemp = pTemp->pNextE )
+ nChoices++;
+ }
+ }
+ printf( "Maximum level: Original = %d. Reduced due to choices = %d.\n", LevelMax1, LevelMax2 );
+ printf( "Choice stats: Choice nodes = %d. Total choices = %d.\n", nChoiceNodes, nChoices );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is the root of EXOR/NEXOR gate.]
+
+ Description [The node can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeIsExorType( Fraig_Node_t * pNode )
+{
+ Fraig_Node_t * pNode1, * pNode2;
+ // make the node regular (it does not matter for EXOR/NEXOR)
+ pNode = Fraig_Regular(pNode);
+ // if the node or its children are not ANDs or not compl, this cannot be EXOR type
+ if ( !Fraig_NodeIsAnd(pNode) )
+ return 0;
+ if ( !Fraig_NodeIsAnd(pNode->p1) || !Fraig_IsComplement(pNode->p1) )
+ return 0;
+ if ( !Fraig_NodeIsAnd(pNode->p2) || !Fraig_IsComplement(pNode->p2) )
+ return 0;
+
+ // get children
+ pNode1 = Fraig_Regular(pNode->p1);
+ pNode2 = Fraig_Regular(pNode->p2);
+ assert( pNode1->Num < pNode2->Num );
+
+ // compare grandchildren
+ return pNode1->p1 == Fraig_Not(pNode2->p1) && pNode1->p2 == Fraig_Not(pNode2->p2);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is the root of MUX or EXOR/NEXOR.]
+
+ Description [The node can be complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeIsMuxType( Fraig_Node_t * pNode )
+{
+ Fraig_Node_t * pNode1, * pNode2;
+
+ // make the node regular (it does not matter for EXOR/NEXOR)
+ pNode = Fraig_Regular(pNode);
+ // if the node or its children are not ANDs or not compl, this cannot be EXOR type
+ if ( !Fraig_NodeIsAnd(pNode) )
+ return 0;
+ if ( !Fraig_NodeIsAnd(pNode->p1) || !Fraig_IsComplement(pNode->p1) )
+ return 0;
+ if ( !Fraig_NodeIsAnd(pNode->p2) || !Fraig_IsComplement(pNode->p2) )
+ return 0;
+
+ // get children
+ pNode1 = Fraig_Regular(pNode->p1);
+ pNode2 = Fraig_Regular(pNode->p2);
+ assert( pNode1->Num < pNode2->Num );
+
+ // compare grandchildren
+ // node is an EXOR/NEXOR
+ if ( pNode1->p1 == Fraig_Not(pNode2->p1) && pNode1->p2 == Fraig_Not(pNode2->p2) )
+ return 1;
+
+ // otherwise the node is MUX iff it has a pair of equal grandchildren
+ return pNode1->p1 == Fraig_Not(pNode2->p1) ||
+ pNode1->p1 == Fraig_Not(pNode2->p2) ||
+ pNode1->p2 == Fraig_Not(pNode2->p1) ||
+ pNode1->p2 == Fraig_Not(pNode2->p2);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if the node is EXOR, 0 if it is NEXOR.]
+
+ Description [The node should be EXOR type and not complemented.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeIsExor( Fraig_Node_t * pNode )
+{
+ Fraig_Node_t * pNode1;
+ assert( !Fraig_IsComplement(pNode) );
+ assert( Fraig_NodeIsExorType(pNode) );
+ assert( Fraig_IsComplement(pNode->p1) );
+ // get children
+ pNode1 = Fraig_Regular(pNode->p1);
+ return Fraig_IsComplement(pNode1->p1) == Fraig_IsComplement(pNode1->p2);
+}
+
+/**Function*************************************************************
+
+ Synopsis [Recognizes what nodes are control and data inputs of a MUX.]
+
+ Description [If the node is a MUX, returns the control variable C.
+ Assigns nodes T and E to be the then and else variables of the MUX.
+ Node C is never complemented. Nodes T and E can be complemented.
+ This function also recognizes EXOR/NEXOR gates as MUXes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fraig_Node_t * Fraig_NodeRecognizeMux( Fraig_Node_t * pNode, Fraig_Node_t ** ppNodeT, Fraig_Node_t ** ppNodeE )
+{
+ Fraig_Node_t * pNode1, * pNode2;
+ assert( !Fraig_IsComplement(pNode) );
+ assert( Fraig_NodeIsMuxType(pNode) );
+ // get children
+ pNode1 = Fraig_Regular(pNode->p1);
+ pNode2 = Fraig_Regular(pNode->p2);
+ // find the control variable
+ if ( pNode1->p1 == Fraig_Not(pNode2->p1) )
+ {
+ if ( Fraig_IsComplement(pNode1->p1) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode2->p2);
+ *ppNodeE = Fraig_Not(pNode1->p2);
+ return pNode2->p1;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode1->p2);
+ *ppNodeE = Fraig_Not(pNode2->p2);
+ return pNode1->p1;
+ }
+ }
+ else if ( pNode1->p1 == Fraig_Not(pNode2->p2) )
+ {
+ if ( Fraig_IsComplement(pNode1->p1) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode2->p1);
+ *ppNodeE = Fraig_Not(pNode1->p2);
+ return pNode2->p2;
+ }
+ else
+ { // pNode1->p1 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode1->p2);
+ *ppNodeE = Fraig_Not(pNode2->p1);
+ return pNode1->p1;
+ }
+ }
+ else if ( pNode1->p2 == Fraig_Not(pNode2->p1) )
+ {
+ if ( Fraig_IsComplement(pNode1->p2) )
+ { // pNode2->p1 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode2->p2);
+ *ppNodeE = Fraig_Not(pNode1->p1);
+ return pNode2->p1;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode1->p1);
+ *ppNodeE = Fraig_Not(pNode2->p2);
+ return pNode1->p2;
+ }
+ }
+ else if ( pNode1->p2 == Fraig_Not(pNode2->p2) )
+ {
+ if ( Fraig_IsComplement(pNode1->p2) )
+ { // pNode2->p2 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode2->p1);
+ *ppNodeE = Fraig_Not(pNode1->p1);
+ return pNode2->p2;
+ }
+ else
+ { // pNode1->p2 is positive phase of C
+ *ppNodeT = Fraig_Not(pNode1->p1);
+ *ppNodeE = Fraig_Not(pNode2->p1);
+ return pNode1->p2;
+ }
+ }
+ assert( 0 ); // this is not MUX
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of EXOR type nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_ManCountExors( Fraig_Man_t * pMan )
+{
+ int i, nExors;
+ nExors = 0;
+ for ( i = 0; i < pMan->vNodes->nSize; i++ )
+ nExors += Fraig_NodeIsExorType( pMan->vNodes->pArray[i] );
+ return nExors;
+
+}
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of EXOR type nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_ManCountMuxes( Fraig_Man_t * pMan )
+{
+ int i, nMuxes;
+ nMuxes = 0;
+ for ( i = 0; i < pMan->vNodes->nSize; i++ )
+ nMuxes += Fraig_NodeIsMuxType( pMan->vNodes->pArray[i] );
+ return nMuxes;
+
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns 1 if siminfo of Node1 is contained in siminfo of Node2.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeSimsContained( Fraig_Man_t * pMan, Fraig_Node_t * pNode1, Fraig_Node_t * pNode2 )
+{
+ unsigned * pUnsigned1, * pUnsigned2;
+ int i;
+
+ // compare random siminfo
+ pUnsigned1 = pNode1->puSimR;
+ pUnsigned2 = pNode2->puSimR;
+ for ( i = 0; i < pMan->nWordsRand; i++ )
+ if ( pUnsigned1[i] & ~pUnsigned2[i] )
+ return 0;
+
+ // compare systematic siminfo
+ pUnsigned1 = pNode1->puSimD;
+ pUnsigned2 = pNode2->puSimD;
+ for ( i = 0; i < pMan->iWordStart; i++ )
+ if ( pUnsigned1[i] & ~pUnsigned2[i] )
+ return 0;
+
+ return 1;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Count the number of PI variables.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_CountPis( Fraig_Man_t * p, Msat_IntVec_t * vVarNums )
+{
+ int * pVars, nVars, i, Counter;
+
+ nVars = Msat_IntVecReadSize(vVarNums);
+ pVars = Msat_IntVecReadArray(vVarNums);
+ Counter = 0;
+ for ( i = 0; i < nVars; i++ )
+ Counter += Fraig_NodeIsVar( p->vNodes->pArray[pVars[i]] );
+ return Counter;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis [Counts the number of EXOR type nodes.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_ManPrintRefs( Fraig_Man_t * pMan )
+{
+ Fraig_NodeVec_t * vPivots;
+ Fraig_Node_t * pNode, * pNode2;
+ int i, k, Counter, nProved;
+ int clk;
+
+ vPivots = Fraig_NodeVecAlloc( 1000 );
+ for ( i = 0; i < pMan->vNodes->nSize; i++ )
+ {
+ pNode = pMan->vNodes->pArray[i];
+
+ if ( pNode->nOnes == 0 || pNode->nOnes == (unsigned)pMan->nWordsRand * 32 )
+ continue;
+
+ if ( pNode->nRefs > 5 )
+ {
+ Fraig_NodeVecPush( vPivots, pNode );
+// printf( "Node %6d : nRefs = %2d Level = %3d.\n", pNode->Num, pNode->nRefs, pNode->Level );
+ }
+ }
+ printf( "Total nodes = %d. Referenced nodes = %d.\n", pMan->vNodes->nSize, vPivots->nSize );
+
+clk = clock();
+ // count implications
+ Counter = nProved = 0;
+ for ( i = 0; i < vPivots->nSize; i++ )
+ for ( k = i+1; k < vPivots->nSize; k++ )
+ {
+ pNode = vPivots->pArray[i];
+ pNode2 = vPivots->pArray[k];
+ if ( Fraig_NodeSimsContained( pMan, pNode, pNode2 ) )
+ {
+ if ( Fraig_NodeIsImplication( pMan, pNode, pNode2, -1 ) )
+ nProved++;
+ Counter++;
+ }
+ else if ( Fraig_NodeSimsContained( pMan, pNode2, pNode ) )
+ {
+ if ( Fraig_NodeIsImplication( pMan, pNode2, pNode, -1 ) )
+ nProved++;
+ Counter++;
+ }
+ }
+ printf( "Number of candidate pairs = %d. Proved = %d.\n", Counter, nProved );
+PRT( "Time", clock() - clk );
+ return 0;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Checks if pNew exists among the implication fanins of pOld.]
+
+ Description [If pNew is an implication fanin of pOld, returns 1.
+ If Fraig_Not(pNew) is an implication fanin of pOld, return -1.
+ Otherwise returns 0.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeIsInSupergate( Fraig_Node_t * pOld, Fraig_Node_t * pNew )
+{
+ int RetValue1, RetValue2;
+ if ( Fraig_Regular(pOld) == Fraig_Regular(pNew) )
+ return (pOld == pNew)? 1 : -1;
+ if ( Fraig_IsComplement(pOld) || Fraig_NodeIsVar(pOld) )
+ return 0;
+ RetValue1 = Fraig_NodeIsInSupergate( pOld->p1, pNew );
+ RetValue2 = Fraig_NodeIsInSupergate( pOld->p2, pNew );
+ if ( RetValue1 == -1 || RetValue2 == -1 )
+ return -1;
+ if ( RetValue1 == 1 || RetValue2 == 1 )
+ return 1;
+ return 0;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis [Returns the array of nodes to be combined into one multi-input AND-gate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_CollectSupergate_rec( Fraig_Node_t * pNode, Fraig_NodeVec_t * vSuper, int fFirst, int fStopAtMux )
+{
+ // if the new node is complemented or a PI, another gate begins
+// if ( Fraig_IsComplement(pNode) || Fraig_NodeIsVar(pNode) || Fraig_NodeIsMuxType(pNode) )
+ if ( (!fFirst && Fraig_Regular(pNode)->nRefs > 1) ||
+ Fraig_IsComplement(pNode) || Fraig_NodeIsVar(pNode) ||
+ (fStopAtMux && Fraig_NodeIsMuxType(pNode)) )
+ {
+ Fraig_NodeVecPushUnique( vSuper, pNode );
+ return;
+ }
+ // go through the branches
+ Fraig_CollectSupergate_rec( pNode->p1, vSuper, 0, fStopAtMux );
+ Fraig_CollectSupergate_rec( pNode->p2, vSuper, 0, fStopAtMux );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Returns the array of nodes to be combined into one multi-input AND-gate.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Fraig_NodeVec_t * Fraig_CollectSupergate( Fraig_Node_t * pNode, int fStopAtMux )
+{
+ Fraig_NodeVec_t * vSuper;
+ vSuper = Fraig_NodeVecAlloc( 8 );
+ Fraig_CollectSupergate_rec( pNode, vSuper, 1, fStopAtMux );
+ return vSuper;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_ManIncrementTravId( Fraig_Man_t * pMan )
+{
+ pMan->nTravIds2++;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Fraig_NodeSetTravIdCurrent( Fraig_Man_t * pMan, Fraig_Node_t * pNode )
+{
+ pNode->TravId2 = pMan->nTravIds2;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeIsTravIdCurrent( Fraig_Man_t * pMan, Fraig_Node_t * pNode )
+{
+ return pNode->TravId2 == pMan->nTravIds2;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Fraig_NodeIsTravIdPrevious( Fraig_Man_t * pMan, Fraig_Node_t * pNode )
+{
+ return pNode->TravId2 == pMan->nTravIds2 - 1;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+