dauCanon.c 37 KB
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/**CFile****************************************************************

  FileName    [dauCanon.c]

  SystemName  [ABC: Logic synthesis and verification system.]

  PackageName [DAG-aware unmapping.]

  Synopsis    [Canonical form computation.]

  Author      [Alan Mishchenko]
  
  Affiliation [UC Berkeley]

  Date        [Ver. 1.0. Started - June 20, 2005.]

  Revision    [$Id: dauCanon.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]

***********************************************************************/

#include "dauInt.h"
#include "misc/util/utilTruth.h"
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#include "misc/vec/vecMem.h"
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ABC_NAMESPACE_IMPL_START

////////////////////////////////////////////////////////////////////////
///                        DECLARATIONS                              ///
////////////////////////////////////////////////////////////////////////

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static word s_CMasks6[5] = {
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    ABC_CONST(0x1111111111111111),
    ABC_CONST(0x0303030303030303),
    ABC_CONST(0x000F000F000F000F),
    ABC_CONST(0x000000FF000000FF),
    ABC_CONST(0x000000000000FFFF)
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};

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////////////////////////////////////////////////////////////////////////
///                     FUNCTION DEFINITIONS                         ///
////////////////////////////////////////////////////////////////////////
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/**Function*************************************************************

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  Synopsis    [Compares Cof0 and Cof1.]
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  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
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static inline int Abc_TtCompare1VarCofs( word * pTruth, int nWords, int iVar )
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{
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    if ( nWords == 1 )
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    {
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        word Cof0 = pTruth[0] & s_Truths6Neg[iVar];
        word Cof1 = (pTruth[0] >> (1 << iVar)) & s_Truths6Neg[iVar];
        if ( Cof0 != Cof1 )
            return Cof0 < Cof1 ? -1 : 1;
        return 0;
    }
    if ( iVar <= 5 )
    {
        word Cof0, Cof1;
        int w, shift = (1 << iVar);
        for ( w = 0; w < nWords; w++ )
        {
            Cof0 = pTruth[w] & s_Truths6Neg[iVar];
            Cof1 = (pTruth[w] >> shift) & s_Truths6Neg[iVar];
            if ( Cof0 != Cof1 )
                return Cof0 < Cof1 ? -1 : 1;
        }
        return 0;
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    }
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    // if ( iVar > 5 )
    {
        word * pLimit = pTruth + nWords;
        int i, iStep = Abc_TtWordNum(iVar);
        assert( nWords >= 2 );
        for ( ; pTruth < pLimit; pTruth += 2*iStep )
            for ( i = 0; i < iStep; i++ )
                if ( pTruth[i] != pTruth[i + iStep] )
                    return pTruth[i] < pTruth[i + iStep] ? -1 : 1;
        return 0;
    }    
}
static inline int Abc_TtCompare1VarCofsRev( word * pTruth, int nWords, int iVar )
{
    if ( nWords == 1 )
    {
        word Cof0 = pTruth[0] & s_Truths6Neg[iVar];
        word Cof1 = (pTruth[0] >> (1 << iVar)) & s_Truths6Neg[iVar];
        if ( Cof0 != Cof1 )
            return Cof0 < Cof1 ? -1 : 1;
        return 0;
    }
    if ( iVar <= 5 )
    {
        word Cof0, Cof1;
        int w, shift = (1 << iVar);
        for ( w = nWords - 1; w >= 0; w-- )
        {
            Cof0 = pTruth[w] & s_Truths6Neg[iVar];
            Cof1 = (pTruth[w] >> shift) & s_Truths6Neg[iVar];
            if ( Cof0 != Cof1 )
                return Cof0 < Cof1 ? -1 : 1;
        }
        return 0;
    }
    // if ( iVar > 5 )
    {
        word * pLimit = pTruth + nWords;
        int i, iStep = Abc_TtWordNum(iVar);
        assert( nWords >= 2 );
        for ( pLimit -= 2*iStep; pLimit >= pTruth; pLimit -= 2*iStep )
            for ( i = iStep - 1; i >= 0; i-- )
                if ( pLimit[i] != pLimit[i + iStep] )
                    return pLimit[i] < pLimit[i + iStep] ? -1 : 1;
        return 0;
    }    
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}

/**Function*************************************************************

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  Synopsis    [Checks equality of pairs of cofactors w.r.t. adjacent variables.]
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  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
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static inline int Abc_TtCheckEqual2VarCofs( word * pTruth, int nWords, int iVar, int Num1, int Num2 )
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{
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    assert( Num1 < Num2 && Num2 < 4 );
    if ( nWords == 1 )
        return ((pTruth[0] >> (Num2 * (1 << iVar))) & s_CMasks6[iVar]) == ((pTruth[0] >> (Num1 * (1 << iVar))) & s_CMasks6[iVar]);
    if ( iVar <= 4 )
    {
        int w, shift = (1 << iVar);
        for ( w = 0; w < nWords; w++ )
            if ( ((pTruth[w] >> Num2 * shift) & s_CMasks6[iVar]) != ((pTruth[w] >> Num1 * shift) & s_CMasks6[iVar]) )
                return 0;
        return 1;
    }
    if ( iVar == 5 )
    {
        unsigned * pTruthU = (unsigned *)pTruth;
        unsigned * pLimitU = (unsigned *)(pTruth + nWords);
        assert( nWords >= 2 );
        for ( ; pTruthU < pLimitU; pTruthU += 4 )
            if ( pTruthU[Num2] != pTruthU[Num1] )
                return 0;
        return 1;
    }
    // if ( iVar > 5 )
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    {
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        word * pLimit = pTruth + nWords;
        int i, iStep = Abc_TtWordNum(iVar);
        assert( nWords >= 4 );
        for ( ; pTruth < pLimit; pTruth += 4*iStep )
            for ( i = 0; i < iStep; i++ )
                if ( pTruth[i+Num2*iStep] != pTruth[i+Num1*iStep] )
                    return 0;
        return 1;
    }    
}
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/**Function*************************************************************
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  Synopsis    [Compares pairs of cofactors w.r.t. adjacent variables.]
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  Description []
               
  SideEffects []
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  SeeAlso     []
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***********************************************************************/
static inline int Abc_TtCompare2VarCofs( word * pTruth, int nWords, int iVar, int Num1, int Num2 )
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{
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    assert( Num1 < Num2 && Num2 < 4 );
    if ( nWords == 1 )
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    {
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        word Cof1 = (pTruth[0] >> (Num1 * (1 << iVar))) & s_CMasks6[iVar];
        word Cof2 = (pTruth[0] >> (Num2 * (1 << iVar))) & s_CMasks6[iVar];
        if ( Cof1 != Cof2 )
            return Cof1 < Cof2 ? -1 : 1;
        return 0;
    }
    if ( iVar <= 4 )
    {
        word Cof1, Cof2;
        int w, shift = (1 << iVar);
        for ( w = 0; w < nWords; w++ )
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        {
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            Cof1 = (pTruth[w] >> Num1 * shift) & s_CMasks6[iVar];
            Cof2 = (pTruth[w] >> Num2 * shift) & s_CMasks6[iVar];
            if ( Cof1 != Cof2 )
                return Cof1 < Cof2 ? -1 : 1;
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        }
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        return 0;
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    }
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    if ( iVar == 5 )
    {
        unsigned * pTruthU = (unsigned *)pTruth;
        unsigned * pLimitU = (unsigned *)(pTruth + nWords);
        assert( nWords >= 2 );
        for ( ; pTruthU < pLimitU; pTruthU += 4 )
            if ( pTruthU[Num1] != pTruthU[Num2] )
                return pTruthU[Num1] < pTruthU[Num2] ? -1 : 1;
        return 0;
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    }
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    // if ( iVar > 5 )
    {
        word * pLimit = pTruth + nWords;
        int i, iStep = Abc_TtWordNum(iVar);
        int Offset1 = Num1*iStep;
        int Offset2 = Num2*iStep;
        assert( nWords >= 4 );
        for ( ; pTruth < pLimit; pTruth += 4*iStep )
            for ( i = 0; i < iStep; i++ )
                if ( pTruth[i + Offset1] != pTruth[i + Offset2] )
                    return pTruth[i + Offset1] < pTruth[i + Offset2] ? -1 : 1;
        return 0;
    }    
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}
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static inline int Abc_TtCompare2VarCofsRev( word * pTruth, int nWords, int iVar, int Num1, int Num2 )
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{
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    assert( Num1 < Num2 && Num2 < 4 );
    if ( nWords == 1 )
    {
        word Cof1 = (pTruth[0] >> (Num1 * (1 << iVar))) & s_CMasks6[iVar];
        word Cof2 = (pTruth[0] >> (Num2 * (1 << iVar))) & s_CMasks6[iVar];
        if ( Cof1 != Cof2 )
            return Cof1 < Cof2 ? -1 : 1;
        return 0;
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    }
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    if ( iVar <= 4 )
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    {
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        word Cof1, Cof2;
        int w, shift = (1 << iVar);
        for ( w = nWords - 1; w >= 0; w-- )
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        {
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            Cof1 = (pTruth[w] >> Num1 * shift) & s_CMasks6[iVar];
            Cof2 = (pTruth[w] >> Num2 * shift) & s_CMasks6[iVar];
            if ( Cof1 != Cof2 )
                return Cof1 < Cof2 ? -1 : 1;
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        }
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        return 0;
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    }
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    if ( iVar == 5 )
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    {
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        unsigned * pTruthU = (unsigned *)pTruth;
        unsigned * pLimitU = (unsigned *)(pTruth + nWords);
        assert( nWords >= 2 );
        for ( pLimitU -= 4; pLimitU >= pTruthU; pLimitU -= 4 )
            if ( pLimitU[Num1] != pLimitU[Num2] )
                return pLimitU[Num1] < pLimitU[Num2] ? -1 : 1;
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        return 0;
    }
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    // if ( iVar > 5 )
    {
        word * pLimit = pTruth + nWords;
        int i, iStep = Abc_TtWordNum(iVar);
        int Offset1 = Num1*iStep;
        int Offset2 = Num2*iStep;
        assert( nWords >= 4 );
        for ( pLimit -= 4*iStep; pLimit >= pTruth; pLimit -= 4*iStep )
            for ( i = iStep - 1; i >= 0; i-- )
                if ( pLimit[i + Offset1] != pLimit[i + Offset2] )
                    return pLimit[i + Offset1] < pLimit[i + Offset2] ? -1 : 1;
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        return 0;
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    }    
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}

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/**Function*************************************************************
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  Synopsis    [Minterm counting in all cofactors.]
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  Description []
               
  SideEffects []
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  SeeAlso     []
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***********************************************************************/
static inline int Abc_TtCountOnesInTruth( word * pTruth, int nVars )
{   
    int nWords = Abc_TtWordNum( nVars );
    int k, Counter = 0;
    for ( k = 0; k < nWords; k++ )
        if ( pTruth[k] )
            Counter += Abc_TtCountOnes( pTruth[k] );
    return Counter;
}
static inline void Abc_TtCountOnesInCofs( word * pTruth, int nVars, int * pStore )
{
    word Temp;
    int i, k, Counter, nWords;
    if ( nVars <= 6 )
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    {
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        for ( i = 0; i < nVars; i++ )
            pStore[i] = Abc_TtCountOnes( pTruth[0] & s_Truths6Neg[i] );
        return;
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    }
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    assert( nVars > 6 );
    nWords = Abc_TtWordNum( nVars );
    memset( pStore, 0, sizeof(int) * nVars );
    for ( k = 0; k < nWords; k++ )
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    {
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        // count 1's for the first six variables
        for ( i = 0; i < 6; i++ )
            if ( (Temp = (pTruth[k] & s_Truths6Neg[i]) | ((pTruth[k+1] & s_Truths6Neg[i]) << (1 << i))) )
                pStore[i] += Abc_TtCountOnes( Temp );
        // count 1's for all other variables
        if ( pTruth[k] )
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        {
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            Counter = Abc_TtCountOnes( pTruth[k] );
            for ( i = 6; i < nVars; i++ )
                if ( (k & (1 << (i-6))) == 0 )
                    pStore[i] += Counter;
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        }
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        k++;
        // count 1's for all other variables
        if ( pTruth[k] )
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        {
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            Counter = Abc_TtCountOnes( pTruth[k] );
            for ( i = 6; i < nVars; i++ )
                if ( (k & (1 << (i-6))) == 0 )
                    pStore[i] += Counter;
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        }
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    } 
}
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/**Function*************************************************************
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  Synopsis    [Minterm counting in all cofactors.]
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  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
static inline void Abc_TtCountOnesInCofsSlow( word * pTruth, int nVars, int * pStore )
{
    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
    };
    int i, k, nBytes;
    unsigned char * pTruthC = (unsigned char *)pTruth;
    nBytes = 8 * Abc_TtWordNum( nVars );
    memset( pStore, 0, sizeof(int) * nVars );
    for ( k = 0; k < nBytes; k++ )
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    {
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        pStore[0] += bit_count[ pTruthC[k] & 0x55 ];
        pStore[1] += bit_count[ pTruthC[k] & 0x33 ];
        pStore[2] += bit_count[ pTruthC[k] & 0x0F ];
        for ( i = 3; i < nVars; i++ )
            if ( (k & (1 << (i-3))) == 0 )
                pStore[i] += bit_count[pTruthC[k]];
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    }
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}

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/**Function*************************************************************
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  Synopsis    [Minterm counting in all cofactors.]
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  Description []
               
  SideEffects []
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  SeeAlso     []
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***********************************************************************/
int Abc_TtCountOnesInCofsFast6_rec( word Truth, int iVar, int nBytes, int * pStore )
{
    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
    };
    int nMints0, nMints1;
    if ( Truth == 0 )
        return 0;
    if ( ~Truth == 0 )
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    {
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        int i;
        for ( i = 0; i <= iVar; i++ )
            pStore[i] += nBytes * 4;
        return nBytes * 8;
    }
    if ( nBytes == 1 )
    {
        assert( iVar == 2 );
        pStore[0] += bit_count[ Truth & 0x55 ];
        pStore[1] += bit_count[ Truth & 0x33 ];
        pStore[2] += bit_count[ Truth & 0x0F ];
        return bit_count[ Truth & 0xFF ];
    }
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    nMints0 = Abc_TtCountOnesInCofsFast6_rec( Abc_Tt6Cofactor0(Truth, iVar), iVar - 1, nBytes/2, pStore );
    nMints1 = Abc_TtCountOnesInCofsFast6_rec( Abc_Tt6Cofactor1(Truth, iVar), iVar - 1, nBytes/2, pStore );
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    pStore[iVar] += nMints0;
    return nMints0 + nMints1;
}

int Abc_TtCountOnesInCofsFast_rec( word * pTruth, int iVar, int nWords, int * pStore )
{
    int nMints0, nMints1;
    if ( nWords == 1 )
    {
        assert( iVar == 5 );
        return Abc_TtCountOnesInCofsFast6_rec( pTruth[0], iVar, 8, pStore );
    }
    assert( nWords > 1 );
    assert( iVar > 5 );
    if ( pTruth[0] & 1 )
    {
        if ( Abc_TtIsConst1( pTruth, nWords ) )
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        {
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            int i;
            for ( i = 0; i <= iVar; i++ )
                pStore[i] += nWords * 32;
            return nWords * 64;
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        }
    }
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    else 
    {
        if ( Abc_TtIsConst0( pTruth, nWords ) )
            return 0;
    }
    nMints0 = Abc_TtCountOnesInCofsFast_rec( pTruth,            iVar - 1, nWords/2, pStore );
    nMints1 = Abc_TtCountOnesInCofsFast_rec( pTruth + nWords/2, iVar - 1, nWords/2, pStore );
    pStore[iVar] += nMints0;
    return nMints0 + nMints1;
}
int Abc_TtCountOnesInCofsFast( word * pTruth, int nVars, int * pStore )
{
    memset( pStore, 0, sizeof(int) * nVars );
    assert( nVars >= 3 );
    if ( nVars <= 6 )
        return Abc_TtCountOnesInCofsFast6_rec( pTruth[0], nVars - 1, Abc_TtByteNum( nVars ), pStore );
    else
        return Abc_TtCountOnesInCofsFast_rec( pTruth, nVars - 1, Abc_TtWordNum( nVars ), pStore );
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}


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/**Function*************************************************************
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  Synopsis    []
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  Description []
               
  SideEffects []
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  SeeAlso     []

***********************************************************************/
static inline unsigned Abc_TtSemiCanonicize( word * pTruth, int nVars, char * pCanonPerm, int * pStoreOut )
{
    int fOldSwap = 0;
    int pStoreIn[17];
    int * pStore = pStoreOut ? pStoreOut : pStoreIn;
    int i, nOnes, nWords = Abc_TtWordNum( nVars );
    unsigned uCanonPhase = 0;
    assert( nVars <= 16 );
    for ( i = 0; i < nVars; i++ )
        pCanonPerm[i] = i;
    // normalize polarity    
    nOnes = Abc_TtCountOnesInTruth( pTruth, nVars );
    if ( nOnes > nWords * 32 )
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    {
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        Abc_TtNot( pTruth, nWords );
        nOnes = nWords*64 - nOnes;
        uCanonPhase |= (1 << nVars);
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    }
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    // normalize phase
    Abc_TtCountOnesInCofs( pTruth, nVars, pStore );
    pStore[nVars] = nOnes;
    for ( i = 0; i < nVars; i++ )
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    {
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        if ( pStore[i] >= nOnes - pStore[i] )
            continue;
        Abc_TtFlip( pTruth, nWords, i );
        uCanonPhase |= (1 << i);
        pStore[i] = nOnes - pStore[i]; 
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    }
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    // normalize permutation
    if ( fOldSwap )
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    {
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        int fChange;
        do {
            fChange = 0;
            for ( i = 0; i < nVars-1; i++ )
            {
                if ( pStore[i] <= pStore[i+1] )
    //            if ( pStore[i] >= pStore[i+1] )
                    continue;
                ABC_SWAP( int, pCanonPerm[i], pCanonPerm[i+1] );
                ABC_SWAP( int, pStore[i], pStore[i+1] );
                if ( ((uCanonPhase >> i) & 1) != ((uCanonPhase >> (i+1)) & 1) )
                {
                    uCanonPhase ^= (1 << i);
                    uCanonPhase ^= (1 << (i+1));
                }
                Abc_TtSwapAdjacent( pTruth, nWords, i );            
                fChange = 1;
    //            nSwaps++;
            }
        } 
        while ( fChange );
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    }
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    else
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    {
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        int k, BestK;
        for ( i = 0; i < nVars - 1; i++ )
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        {
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            BestK = i + 1;
            for ( k = i + 2; k < nVars; k++ )
                if ( pStore[BestK] > pStore[k] )
    //            if ( pStore[BestK] < pStore[k] )
                    BestK = k;
            if ( pStore[i] <= pStore[BestK] )
    //        if ( pStore[i] >= pStore[BestK] )
                continue;
            ABC_SWAP( int, pCanonPerm[i], pCanonPerm[BestK] );
            ABC_SWAP( int, pStore[i], pStore[BestK] );
            if ( ((uCanonPhase >> i) & 1) != ((uCanonPhase >> BestK) & 1) )
            {
                uCanonPhase ^= (1 << i);
                uCanonPhase ^= (1 << BestK);
            }
            Abc_TtSwapVars( pTruth, nVars, i, BestK );
    //        nSwaps++;
552 553
        }
    }
554
    return uCanonPhase;
555 556
}

557 558 559 560 561 562 563 564 565 566 567 568 569


/**Function*************************************************************

  Synopsis    []

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
570
void Abc_TtCofactorTest10( word * pTruth, int nVars, int N )
571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588
{
    static word pCopy1[1024];
    static word pCopy2[1024];
    int nWords = Abc_TtWordNum( nVars );
    int i;
    for ( i = 0; i < nVars - 1; i++ )
    {
//        Kit_DsdPrintFromTruth( pTruth, nVars ); printf( "\n" );
        Abc_TtCopy( pCopy1, pTruth, nWords, 0 );
        Abc_TtSwapAdjacent( pCopy1, nWords, i );
//        Kit_DsdPrintFromTruth( pCopy1, nVars ); printf( "\n" );
        Abc_TtCopy( pCopy2, pTruth, nWords, 0 );
        Abc_TtSwapVars( pCopy2, nVars, i, i+1 );
//        Kit_DsdPrintFromTruth( pCopy2, nVars ); printf( "\n" );
        assert( Abc_TtEqual( pCopy1, pCopy2, nWords ) );
    }
}

589
/**Function*************************************************************
590

591
  Synopsis    [Naive evaluation.]
592

593 594 595
  Description []
               
  SideEffects []
596

597
  SeeAlso     []
598

599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725
***********************************************************************/
int Abc_Tt6CofactorPermNaive( word * pTruth, int i, int fSwapOnly )
{
    if ( fSwapOnly )
    {
        word Copy = Abc_Tt6SwapAdjacent( pTruth[0], i );
        if ( pTruth[0] > Copy )
        {
            pTruth[0] = Copy;
            return 4;
        }
        return 0;
    }
    {
        word Copy = pTruth[0];
        word Best = pTruth[0];
        int Config = 0;
        // PXY
        // 001
        Copy = Abc_Tt6Flip( Copy, i );
        if ( Best > Copy )
            Best = Copy, Config = 1;
        // PXY
        // 011
        Copy = Abc_Tt6Flip( Copy, i+1 );
        if ( Best > Copy )
            Best = Copy, Config = 3;
        // PXY
        // 010
        Copy = Abc_Tt6Flip( Copy, i );
        if ( Best > Copy )
            Best = Copy, Config = 2;
        // PXY
        // 110
        Copy = Abc_Tt6SwapAdjacent( Copy, i );
        if ( Best > Copy )
            Best = Copy, Config = 6;
        // PXY
        // 111
        Copy = Abc_Tt6Flip( Copy, i+1 );
        if ( Best > Copy )
            Best = Copy, Config = 7;
        // PXY
        // 101
        Copy = Abc_Tt6Flip( Copy, i );
        if ( Best > Copy )
            Best = Copy, Config = 5;
        // PXY
        // 100
        Copy = Abc_Tt6Flip( Copy, i+1 );
        if ( Best > Copy )
            Best = Copy, Config = 4;
        // PXY
        // 000
        Copy = Abc_Tt6SwapAdjacent( Copy, i );
        assert( Copy == pTruth[0] );
        assert( Best <= pTruth[0] );
        pTruth[0] = Best;
        return Config;
    }
}
int Abc_TtCofactorPermNaive( word * pTruth, int i, int nWords, int fSwapOnly )
{
    if ( fSwapOnly )
    {
        static word pCopy[1024];
        Abc_TtCopy( pCopy, pTruth, nWords, 0 );
        Abc_TtSwapAdjacent( pCopy, nWords, i );
        if ( Abc_TtCompareRev(pTruth, pCopy, nWords) == 1 )
        {
            Abc_TtCopy( pTruth, pCopy, nWords, 0 );
            return 4;
        }
        return 0;
    }
    {
        static word pCopy[1024];
        static word pBest[1024];
        int Config = 0;
        // save two copies
        Abc_TtCopy( pCopy, pTruth, nWords, 0 );
        Abc_TtCopy( pBest, pTruth, nWords, 0 );
        // PXY
        // 001
        Abc_TtFlip( pCopy, nWords, i );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 1;
        // PXY
        // 011
        Abc_TtFlip( pCopy, nWords, i+1 );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 3;
        // PXY
        // 010
        Abc_TtFlip( pCopy, nWords, i );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 2;
        // PXY
        // 110
        Abc_TtSwapAdjacent( pCopy, nWords, i );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 6;
        // PXY
        // 111
        Abc_TtFlip( pCopy, nWords, i+1 );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 7;
        // PXY
        // 101
        Abc_TtFlip( pCopy, nWords, i );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 5;
        // PXY
        // 100
        Abc_TtFlip( pCopy, nWords, i+1 );
        if ( Abc_TtCompareRev(pBest, pCopy, nWords) == 1 )
            Abc_TtCopy( pBest, pCopy, nWords, 0 ), Config = 4;
        // PXY
        // 000
        Abc_TtSwapAdjacent( pCopy, nWords, i );
        assert( Abc_TtEqual( pTruth, pCopy, nWords ) );
        if ( Config == 0 )
            return 0;
        assert( Abc_TtCompareRev(pTruth, pBest, nWords) == 1 );
        Abc_TtCopy( pTruth, pBest, nWords, 0 );
        return Config;
    }
726 727 728
}


729
/**Function*************************************************************
730

731
  Synopsis    [Smart evaluation.]
732

733 734 735
  Description []
               
  SideEffects []
736

737
  SeeAlso     []
738

739 740 741 742 743 744 745 746
***********************************************************************/
int Abc_TtCofactorPermConfig( word * pTruth, int i, int nWords, int fSwapOnly, int fNaive )
{
    if ( nWords == 1 )
        return Abc_Tt6CofactorPermNaive( pTruth, i, fSwapOnly );
    if ( fNaive )
        return Abc_TtCofactorPermNaive( pTruth, i, nWords, fSwapOnly );
    if ( fSwapOnly )
747
    {
748
        if ( Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 1, 2 ) < 0 ) // Cof1 < Cof2
749
        {
750 751
            Abc_TtSwapAdjacent( pTruth, nWords, i );
            return 4;
752
        }
753
        return 0;
754
    }
755 756 757 758 759
    {  
        int fComp01, fComp02, fComp03, fComp12, fComp13, fComp23, Config = 0;
        fComp01 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 0, 1 );
        fComp23 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 2, 3 );
        if ( fComp23 >= 0 ) // Cof2 >= Cof3 
760
        {
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            if ( fComp01 >= 0 ) // Cof0 >= Cof1
            {
                fComp13 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 1, 3 );
                if ( fComp13 < 0 ) // Cof1 < Cof3 
                    Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 2;
                else if ( fComp13 == 0 ) // Cof1 == Cof3 
                {
                    fComp02 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 0, 2 );
                    if ( fComp02 < 0 )
                        Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 2;
                }
                // else   Cof1 > Cof3 -- do nothing
            }
            else // Cof0 < Cof1
            {
                fComp03 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 0, 3 );
                if ( fComp03 < 0 ) // Cof0 < Cof3
                {
                    Abc_TtFlip( pTruth, nWords, i );
                    Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 3;
                }
                else //  Cof0 >= Cof3
                {
                    if ( fComp23 == 0 ) // can flip Cof0 and Cof1
                        Abc_TtFlip( pTruth, nWords, i ), Config = 1;
                }
            }
        }
        else // Cof2 < Cof3 
        {
            if ( fComp01 >= 0 ) // Cof0 >= Cof1
            {
                fComp12 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 1, 2 );
                if ( fComp12 > 0 ) // Cof1 > Cof2 
                    Abc_TtFlip( pTruth, nWords, i ), Config = 1;
                else if ( fComp12 == 0 ) // Cof1 == Cof2 
                {
                    Abc_TtFlip( pTruth, nWords, i );
                    Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 3;
                }
                else // Cof1 < Cof2
                {
                    Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 2;
                    if ( fComp01 == 0 )
                        Abc_TtFlip( pTruth, nWords, i ), Config ^= 1;
                }
            }
            else // Cof0 < Cof1
            {
                fComp02 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 0, 2 );
                if ( fComp02 == -1 ) // Cof0 < Cof2 
                {
                    Abc_TtFlip( pTruth, nWords, i );
                    Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 3;
                }
                else if ( fComp02 == 0 ) // Cof0 == Cof2
                {
                    fComp13 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 1, 3 );
                    if ( fComp13 >= 0 ) // Cof1 >= Cof3 
                        Abc_TtFlip( pTruth, nWords, i ), Config = 1;
                    else // Cof1 < Cof3 
                    {
                        Abc_TtFlip( pTruth, nWords, i );
                        Abc_TtFlip( pTruth, nWords, i + 1 ), Config = 3;
                    }
                }
                else // Cof0 > Cof2
                    Abc_TtFlip( pTruth, nWords, i ), Config = 1;
            }
830
        }
831 832 833 834 835
        // perform final swap if needed
        fComp12 = Abc_TtCompare2VarCofsRev( pTruth, nWords, i, 1, 2 );
        if ( fComp12 < 0 ) // Cof1 < Cof2
            Abc_TtSwapAdjacent( pTruth, nWords, i ), Config ^= 4;
        return Config;
836 837
    }
}
838
int Abc_TtCofactorPerm( word * pTruth, int i, int nWords, int fSwapOnly, char * pCanonPerm, unsigned * puCanonPhase, int fNaive )
839
{
840
    if ( fSwapOnly )
841
    {
842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
        int Config = Abc_TtCofactorPermConfig( pTruth, i, nWords, 1, 0 );
        if ( Config )
        {
            if ( ((*puCanonPhase >> i) & 1) != ((*puCanonPhase >> (i+1)) & 1) )
            {
                *puCanonPhase ^= (1 << i);
                *puCanonPhase ^= (1 << (i+1));
            }
            ABC_SWAP( int, pCanonPerm[i], pCanonPerm[i+1] );
        }
        return Config;
    }
    {
        static word pCopy1[1024];
        int Config;
        Abc_TtCopy( pCopy1, pTruth, nWords, 0 );
        Config = Abc_TtCofactorPermConfig( pTruth, i, nWords, 0, fNaive );
        if ( Config == 0 )
            return 0;
        if ( Abc_TtCompareRev(pTruth, pCopy1, nWords) == 1 ) // made it worse
        {
            Abc_TtCopy( pTruth, pCopy1, nWords, 0 );
            return 0;
        }
        // improved
        if ( Config & 1 )
            *puCanonPhase ^= (1 << i);
        if ( Config & 2 )
            *puCanonPhase ^= (1 << (i+1));
        if ( Config & 4 )
        {
            if ( ((*puCanonPhase >> i) & 1) != ((*puCanonPhase >> (i+1)) & 1) )
            {
                *puCanonPhase ^= (1 << i);
                *puCanonPhase ^= (1 << (i+1));
            }
            ABC_SWAP( int, pCanonPerm[i], pCanonPerm[i+1] );
        }
        return Config;
881 882 883
    }
}

884 885 886 887 888 889 890 891 892
/**Function*************************************************************

  Synopsis    [Semi-canonical form computation.]

  Description []
               
  SideEffects []

  SeeAlso     []
893

894 895 896
***********************************************************************/
//#define CANON_VERIFY
unsigned Abc_TtCanonicize( word * pTruth, int nVars, char * pCanonPerm )
897 898 899
{
    int pStoreIn[17];
    unsigned uCanonPhase;
900 901
    int i, k, nWords = Abc_TtWordNum( nVars );
    int fNaive = 1;
902 903 904 905 906 907 908 909 910

#ifdef CANON_VERIFY
    char pCanonPermCopy[16];
    static word pCopy1[1024];
    static word pCopy2[1024];
    Abc_TtCopy( pCopy1, pTruth, nWords, 0 );
#endif

    uCanonPhase = Abc_TtSemiCanonicize( pTruth, nVars, pCanonPerm, pStoreIn );
911
    for ( k = 0; k < 5; k++ )
912 913 914 915 916 917 918 919 920 921 922 923 924 925
    {
        int fChanges = 0;
        for ( i = nVars - 2; i >= 0; i-- )
            if ( pStoreIn[i] == pStoreIn[i+1] )
                fChanges |= Abc_TtCofactorPerm( pTruth, i, nWords, pStoreIn[i] != pStoreIn[nVars]/2, pCanonPerm, &uCanonPhase, fNaive );
        if ( !fChanges )
            break;
        fChanges = 0;
        for ( i = 1; i < nVars - 1; i++ )
            if ( pStoreIn[i] == pStoreIn[i+1] )
                fChanges |= Abc_TtCofactorPerm( pTruth, i, nWords, pStoreIn[i] != pStoreIn[nVars]/2, pCanonPerm, &uCanonPhase, fNaive );
        if ( !fChanges )
            break;
    }
926 927 928 929

#ifdef CANON_VERIFY
    Abc_TtCopy( pCopy2, pTruth, nWords, 0 );
    memcpy( pCanonPermCopy, pCanonPerm, sizeof(char) * nVars );
930
    Abc_TtImplementNpnConfig( pCopy2, nVars, pCanonPermCopy, uCanonPhase );
931 932 933 934 935 936 937 938 939 940 941
    if ( !Abc_TtEqual( pCopy1, pCopy2, nWords ) )
        printf( "Canonical form verification failed!\n" );
#endif
/*
    if ( !Abc_TtEqual( pCopy1, pCopy2, nWords ) )
    {
        Kit_DsdPrintFromTruth( pCopy1, nVars ); printf( "\n" );
        Kit_DsdPrintFromTruth( pCopy2, nVars ); printf( "\n" );
        i = 0;
    }
*/
942
    return uCanonPhase;
943 944
}

945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043
/**Function*************************************************************

  Synopsis    [Semi-canonical form computation.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
static inline int Abc_TtCanonicizePhaseVar6( word * pTruth, int nVars, int v )
{
    int w, nWords = Abc_TtWordNum( nVars );
    int s, nStep = 1 << (v-6);
    assert( v >= 6 );
    for ( w = nWords - 1, s = nWords - nStep; w > 0; w-- )
    {
        if ( pTruth[w-nStep] == pTruth[w] )
        {
            if ( w == s ) { w = s - nStep; s = w - nStep; }
            continue;
        }
        if ( pTruth[w-nStep] > pTruth[w] )
            return -1;
        for ( ; w > 0; w-- )
        {
            ABC_SWAP( word, pTruth[w-nStep], pTruth[w] );
            if ( w == s ) { w = s - nStep; s = w - nStep; }
        }
        assert( w == -1 );
        return 1;
    }
    return 0;
}
static inline int Abc_TtCanonicizePhaseVar5( word * pTruth, int nVars, int v )
{
    int w, nWords = Abc_TtWordNum( nVars );
    int Shift = 1 << v;
    word Mask = s_Truths6[v];
    assert( v < 6 );
    for ( w = nWords - 1; w >= 0; w-- )
    {
        if ( ((pTruth[w] << Shift) & Mask) == (pTruth[w] & Mask) )
            continue;
        if ( ((pTruth[w] << Shift) & Mask) > (pTruth[w] & Mask) )
            return -1;
//        Extra_PrintHex( stdout, (unsigned *)pTruth, nVars ); printf("\n" );
        for ( ; w >= 0; w-- )
            pTruth[w] = ((pTruth[w] << Shift) & Mask) | ((pTruth[w] & Mask) >> Shift);
//        Extra_PrintHex( stdout, (unsigned *)pTruth, nVars ); printf( " changed %d", v ), printf("\n" );
        return 1;
    }
    return 0;
}
unsigned Abc_TtCanonicizePhase( word * pTruth, int nVars )
{
    unsigned uCanonPhase = 0;
    int v, nWords = Abc_TtWordNum( nVars );
//    static int Counter = 0;
//    Counter++;

#ifdef CANON_VERIFY
    static word pCopy1[1024];
    static word pCopy2[1024];
    Abc_TtCopy( pCopy1, pTruth, nWords, 0 );
#endif

    if ( (pTruth[nWords-1] >> 63) & 1 )
    {
        Abc_TtNot( pTruth, nWords );
        uCanonPhase ^= (1 << nVars);
    }

//    while ( 1 )
//    {
//        unsigned uCanonPhase2 = uCanonPhase;
        for ( v = nVars - 1; v >= 6; v-- )
            if ( Abc_TtCanonicizePhaseVar6( pTruth, nVars, v ) == 1 )
                uCanonPhase ^= 1 << v;
        for ( ; v >= 0; v-- )
            if ( Abc_TtCanonicizePhaseVar5( pTruth, nVars, v ) == 1 )
                uCanonPhase ^= 1 << v;
//        if ( uCanonPhase2 == uCanonPhase )
//            break;
//    }

//    for ( v = 5; v >= 0; v-- )
//        assert( Abc_TtCanonicizePhaseVar5( pTruth, nVars, v ) != 1 );

#ifdef CANON_VERIFY
    Abc_TtCopy( pCopy2, pTruth, nWords, 0 );
    Abc_TtImplementNpnConfig( pCopy2, nVars, NULL, uCanonPhase );
    if ( !Abc_TtEqual( pCopy1, pCopy2, nWords ) )
        printf( "Canonical form verification failed!\n" );
#endif
    return uCanonPhase;
}

1044

1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186
/**Function*************************************************************

  Synopsis    [Hierarchical semi-canonical form computation.]

  Description []
               
  SideEffects []

  SeeAlso     []

***********************************************************************/
#define TT_NUM_TABLES 4

struct Abc_TtMan_t_
{
    Vec_Mem_t *   vTtMem[TT_NUM_TABLES];   // truth table memory and hash tables
};

Abc_TtMan_t * Abc_TtManStart( int nVars )
{
    Abc_TtMan_t * p = ABC_CALLOC( Abc_TtMan_t, 1 );
    int i, nWords = Abc_TtWordNum( nVars );
    for ( i = 0; i < TT_NUM_TABLES; i++ )
    {
        p->vTtMem[i] = Vec_MemAlloc( nWords, 12 );
        Vec_MemHashAlloc( p->vTtMem[i], 10000 );
    }
    return p;
}
void Abc_TtManStop( Abc_TtMan_t * p )
{
    int i;
    for ( i = 0; i < TT_NUM_TABLES; i++ )
    {
        Vec_MemHashFree( p->vTtMem[i] );
        Vec_MemFreeP( &p->vTtMem[i] );
    }
    ABC_FREE( p );
}
int Abc_TtManNumClasses( Abc_TtMan_t * p )
{
    return Vec_MemEntryNum( p->vTtMem[TT_NUM_TABLES-1] );
}

unsigned Abc_TtCanonicizeHie( Abc_TtMan_t * p, word * pTruthInit, int nVars, char * pCanonPerm )
{
    int fNaive = 1;
    int pStore[17];
    static word pTruth[1024];
    unsigned uCanonPhase = 0;
    int nOnes, nWords = Abc_TtWordNum( nVars );
    int i, k, truthId;
    int * pSpot;
    assert( nVars <= 16 );

    Abc_TtCopy( pTruth, pTruthInit, nWords, 0 );

    for ( i = 0; i < nVars; i++ )
        pCanonPerm[i] = i;

    // normalize polarity    
    nOnes = Abc_TtCountOnesInTruth( pTruth, nVars );
    if ( nOnes > nWords * 32 )
    {
        Abc_TtNot( pTruth, nWords );
        nOnes = nWords*64 - nOnes;
        uCanonPhase |= (1 << nVars);
    }
    // check cache
    pSpot = Vec_MemHashLookup( p->vTtMem[0], pTruth );
    if ( *pSpot != -1 )
        return 0;
    truthId = Vec_MemHashInsert( p->vTtMem[0], pTruth );

    // normalize phase
    Abc_TtCountOnesInCofs( pTruth, nVars, pStore );
    pStore[nVars] = nOnes;
    for ( i = 0; i < nVars; i++ )
    {
        if ( pStore[i] >= nOnes - pStore[i] )
            continue;
        Abc_TtFlip( pTruth, nWords, i );
        uCanonPhase |= (1 << i);
        pStore[i] = nOnes - pStore[i]; 
    }
    // check cache
    pSpot = Vec_MemHashLookup( p->vTtMem[1], pTruth );
    if ( *pSpot != -1 )
        return 0;
    truthId = Vec_MemHashInsert( p->vTtMem[1], pTruth );

    // normalize permutation
    {
        int k, BestK;
        for ( i = 0; i < nVars - 1; i++ )
        {
            BestK = i + 1;
            for ( k = i + 2; k < nVars; k++ )
                if ( pStore[BestK] > pStore[k] )
                    BestK = k;
            if ( pStore[i] <= pStore[BestK] )
                continue;
            ABC_SWAP( int, pCanonPerm[i], pCanonPerm[BestK] );
            ABC_SWAP( int, pStore[i], pStore[BestK] );
            if ( ((uCanonPhase >> i) & 1) != ((uCanonPhase >> BestK) & 1) )
            {
                uCanonPhase ^= (1 << i);
                uCanonPhase ^= (1 << BestK);
            }
            Abc_TtSwapVars( pTruth, nVars, i, BestK );
        }
    }
    // check cache
    pSpot = Vec_MemHashLookup( p->vTtMem[2], pTruth );
    if ( *pSpot != -1 )
        return 0;
    truthId = Vec_MemHashInsert( p->vTtMem[2], pTruth );

    // iterate TT permutations for tied variables
    for ( k = 0; k < 5; k++ )
    {
        int fChanges = 0;
        for ( i = nVars - 2; i >= 0; i-- )
            if ( pStore[i] == pStore[i+1] )
                fChanges |= Abc_TtCofactorPerm( pTruth, i, nWords, pStore[i] != pStore[nVars]/2, pCanonPerm, &uCanonPhase, fNaive );
        if ( !fChanges )
            break;
        fChanges = 0;
        for ( i = 1; i < nVars - 1; i++ )
            if ( pStore[i] == pStore[i+1] )
                fChanges |= Abc_TtCofactorPerm( pTruth, i, nWords, pStore[i] != pStore[nVars]/2, pCanonPerm, &uCanonPhase, fNaive );
        if ( !fChanges )
            break;
    }
    // check cache
    pSpot = Vec_MemHashLookup( p->vTtMem[3], pTruth );
    if ( *pSpot != -1 )
        return 0;
    truthId = Vec_MemHashInsert( p->vTtMem[3], pTruth );
    return 0;
}

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////////////////////////////////////////////////////////////////////////
///                       END OF FILE                                ///
////////////////////////////////////////////////////////////////////////


ABC_NAMESPACE_IMPL_END