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diff --git a/src/opt/fxu/fxuSingle.c b/src/opt/fxu/fxuSingle.c
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+/**CFile****************************************************************
+
+  FileName    [fxuSingle.c]
+
+  PackageName [MVSIS 2.0: Multi-valued logic synthesis system.]
+
+  Synopsis    [Procedures to compute the set of single-cube divisors.]
+
+  Author      [MVSIS Group]
+  
+  Affiliation [UC Berkeley]
+
+  Date        [Ver. 1.0. Started - February 1, 2003.]
+
+  Revision    [$Id: fxuSingle.c,v 1.0 2003/02/01 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "fxuInt.h"
+
+////////////////////////////////////////////////////////////////////////
+///                        DECLARATIONS                              ///
+////////////////////////////////////////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+///                     FUNCTION DEFITIONS                           ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+  Synopsis    [Computes and adds all single-cube divisors to storage.]
+
+  Description [This procedure should be called once when the matrix is
+  already contructed before the process of logic extraction begins..]
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+void Fxu_MatrixComputeSingles( Fxu_Matrix * p )
+{
+    Fxu_Var * pVar;
+    // iterate through the columns in the matrix
+    Fxu_MatrixForEachVariable( p, pVar )
+        Fxu_MatrixComputeSinglesOne( p, pVar );
+}
+
+/**Function*************************************************************
+
+  Synopsis    [Adds the single-cube divisors associated with a new column.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+void Fxu_MatrixComputeSinglesOne( Fxu_Matrix * p, Fxu_Var * pVar )
+{
+//    int * pValue2Node = p->pValue2Node;
+    Fxu_Lit * pLitV, * pLitH;
+    Fxu_Var * pVar2;
+    int Coin;
+//    int CounterAll;
+//    int CounterTest;
+    int WeightCur;
+
+    // start collecting the affected vars
+    Fxu_MatrixRingVarsStart( p );
+    // go through all the literals of this variable
+    for ( pLitV = pVar->lLits.pHead; pLitV; pLitV = pLitV->pVNext )
+        // for this literal, go through all the horizontal literals
+        for ( pLitH = pLitV->pHPrev; pLitH; pLitH = pLitH->pHPrev )
+        {
+            // get another variable
+            pVar2 = pLitH->pVar;
+//            CounterAll++;
+            // skip the var if it is already used
+            if ( pVar2->pOrder )
+                continue;
+            // skip the var if it belongs to the same node
+//            if ( pValue2Node[pVar->iVar] == pValue2Node[pVar2->iVar] )
+//                continue;
+            // collect the var
+            Fxu_MatrixRingVarsAdd( p, pVar2 );
+        }
+    // stop collecting the selected vars
+    Fxu_MatrixRingVarsStop( p );
+
+    // iterate through the selected vars
+    Fxu_MatrixForEachVarInRing( p, pVar2 )
+    {
+//        CounterTest++;
+        // count the coincidence
+        Coin = Fxu_SingleCountCoincidence( p, pVar2, pVar );
+        assert( Coin > 0 );
+        // get the new weight
+        WeightCur = Coin - 2;
+        if ( WeightCur >= 0 )
+            Fxu_MatrixAddSingle( p, pVar2, pVar, WeightCur );
+    }
+
+    // unmark the vars
+    Fxu_MatrixRingVarsUnmark( p );
+}
+
+/**Function*************************************************************
+
+  Synopsis    [Computes the coincidence count of two columns.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+int Fxu_SingleCountCoincidence( Fxu_Matrix * p, Fxu_Var * pVar1, Fxu_Var * pVar2 )
+{
+    Fxu_Lit * pLit1, * pLit2;
+    int Result;
+
+    // compute the coincidence count
+    Result = 0;
+    pLit1  = pVar1->lLits.pHead;
+    pLit2  = pVar2->lLits.pHead;
+    while ( 1 )
+    {
+        if ( pLit1 && pLit2 )
+        {
+            if ( pLit1->pCube->pVar->iVar == pLit2->pCube->pVar->iVar )
+            { // the variables are the same
+                if ( pLit1->iCube == pLit2->iCube )
+                { // the literals are the same
+                    pLit1 = pLit1->pVNext;
+                    pLit2 = pLit2->pVNext;
+                    // add this literal to the coincidence
+                    Result++;
+                }
+                else if ( pLit1->iCube < pLit2->iCube )
+                    pLit1 = pLit1->pVNext;
+                else
+                    pLit2 = pLit2->pVNext;
+            }
+            else if ( pLit1->pCube->pVar->iVar < pLit2->pCube->pVar->iVar )
+                pLit1 = pLit1->pVNext;
+            else
+                pLit2 = pLit2->pVNext;
+        }
+        else if ( pLit1 && !pLit2 )
+            pLit1 = pLit1->pVNext;
+        else if ( !pLit1 && pLit2 )
+            pLit2 = pLit2->pVNext;
+        else
+            break;
+    }
+    return Result;
+}
+
+////////////////////////////////////////////////////////////////////////
+///                       END OF FILE                                ///
+////////////////////////////////////////////////////////////////////////
+
+