mirror of https://github.com/YosysHQ/abc.git
661 lines
21 KiB
C
661 lines
21 KiB
C
/**CFile****************************************************************
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FileName [dauDsd2.c]
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SystemName [ABC: Logic synthesis and verification system.]
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PackageName [DAG-aware unmapping.]
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Synopsis [Disjoint-support decomposition.]
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Author [Alan Mishchenko]
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Affiliation [UC Berkeley]
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Date [Ver. 1.0. Started - June 20, 2005.]
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Revision [$Id: dauDsd2.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
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***********************************************************************/
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#include "dauInt.h"
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#include "misc/util/utilTruth.h"
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ABC_NAMESPACE_IMPL_START
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////////////////////////////////////////////////////////////////////////
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/// DECLARATIONS ///
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////////////////////////////////////////////////////////////////////////
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#include DSD_MAX_VAR 12
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#include DSD_MAX_WRD ((DSD_MAX_VAR > 6) ? (1 << (DSD_MAX_VAR-6)) : 1)
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typedef struct Dua_Obj_t_ Dua_Obj_t;
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struct Dua_Obj_t_
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{
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int Type; // dec type (1=var; 2=and; 3=xor; 4=mux; 5=prime)
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int nFans; // fanin count
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char pFans[DSD_MAX_VAR]; // fanins
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};
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typedef struct Dua_Dsd_t_ Dua_Dsd_t;
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struct Dua_Dsd_t_
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{
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int nSupp; // original variables
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int nVars; // remaining variables
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int nWords; // largest non-dec prime
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int nObjs; // object count
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int iRoot; // the root of the tree
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Dua_Obj_t pObjs[DSD_MAX_VAR]; // objects
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word pTruth[DSD_MAX_WRD]; // original/current truth table
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};
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////////////////////////////////////////////////////////////////////////
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/// FUNCTION DEFINITIONS ///
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////////////////////////////////////////////////////////////////////////
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/**Function*************************************************************
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Synopsis [Makes the fCof1-th cofactor of iVar the 0-th cofactor.]
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Description [Variable iVar becomes last varaible; others shift back.
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Only the 0-th cofactor is computed.]
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SideEffects []
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SeeAlso []
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***********************************************************************/
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static inline word Abc_Tt6HalfUnShuffleVars( word t, int iVar, int fCof1 )
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{
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static word Masks[6] = {
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ABC_CONST(0x5555555555555555),
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ABC_CONST(0x3333333333333333),
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ABC_CONST(0x0F0F0F0F0F0F0F0F),
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ABC_CONST(0x00FF00FF00FF00FF),
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ABC_CONST(0x0000FFFF0000FFFF),
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ABC_CONST(0x00000000FFFFFFFF)
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};
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int v, s = (1 << iVar);
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t = (t >> (fCof1 ? 0 : s)) & Masks[iVar];
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for ( v = iVar, s = (1 << v); v < 5; v++, s <<= 1 )
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t = ((t >> s) | t) & Masks[v+1];
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return t;
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}
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static inline void Abc_TtHalfUnShuffleVars( word * pTruth, int nVars, int iVar, int jVar, int fCof1 )
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{
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int w, nWords = Abc_TtWordNum( nVars );
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if ( iVar == jVar )
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return;
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assert( iVar < jVar );
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if ( iVar < 5 )
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{
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for ( w = 0; w < nWords; w++ )
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pTruth[w] = Abc_Tt6HalfUnShuffleVars( pTruth[w], iVar, fCof1 );
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iVar = 5;
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}
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if ( jVar < 6 )
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{
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for ( w = 0; w < nWords; w++ )
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pTruth[w] = (pTruth[w] << 32) | pTruth[w];
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return;
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}
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if ( iVar == 5 )
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{
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unsigned * pTruthU = (unsigned *)pTruth;
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for ( w = 0; w < nWords; w += 2 )
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pTruthU[w] = pTruthU[w+1];
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iVar = 6;
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}
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{
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word * pLimit = pTruth + nWords;
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int i, iStep = Abc_TtWordNum(iVar);
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int j, jStep = Abc_TtWordNum(jVar);
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for ( ; pTruth < pLimit; pTruth += jStep )
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for ( i = 0; i < jStep; i += iStep )
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for ( j = 0; j < iStep; j++ )
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pTruth[w++] = pTruth[iStep + i + j];
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assert( w == (nWords >> 1) );
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return;
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}
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}
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/**Function*************************************************************
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Synopsis []
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Description []
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SideEffects []
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SeeAlso []
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***********************************************************************/
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void Dua_DsdInit( Dua_Dsd_t * pRes, word * pTruth, int nVars )
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{
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int i;
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pRes->nSupp = nVars;
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pRes->nVars = nVars;
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pRes->nWords = Abc_TtWordNum( nVars );
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pRes->nObjs = 1;
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pRes->iRoot = Abc_Var2Lit( 0, 0 );
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pRes->pObjs[0].Type = 5;
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pRes->pObjs[0].nFans = nVars;
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for ( i = 0; i < nVars; i++ )
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pRes->pObjs[0].pFans[i] = (char)Abc_Var2Lit( i, 0 );
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memcpy( pRes->pTruth, pTruth, sizeof(word) * pRes->nWords );
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}
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/**Function*************************************************************
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Synopsis []
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Description []
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SideEffects []
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SeeAlso []
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***********************************************************************/
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// returns 1 if the truth table was complemented
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int Dua_DsdTryConst( word * pTruth, int nVars )
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{
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if ( !(pTruth[0] & 1) )
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return 0;
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Abc_TtNot( pTruth, Abc_TtWordNum(nVars) );
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return 1;
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}
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int Dua_DsdTryVar( word * pTruth, int nWords, int iVar )
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{
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int nWordsI = Abc_TtWordNum(iVar);
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word c0 = (iVar < 6) ? Abc_Tt6Cofactor0( pTruth[0], iVar ) : pTruth[0];
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word c1 = (iVar < 6) ? Abc_Tt6Cofactor1( pTruth[0], iVar ) : pTruth[nWords];
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if ( c0 != c1 )
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{
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if ( c1 < c0 && c1 < ~c1 ) // flip
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{
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Abc_TtFlip( pTruth, nWords, iVar );
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return 0;
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}
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if ( ~c1 < c0 && ~c1 < c1 ) // flip and compl
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{
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Abc_TtFlipNot( pTruth, nWords, iVar );
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return 1;
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}
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}
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if ( iVar < 6 )
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{
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word * pLimit = pTruth + nWords;
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for ( pTruth++; pTruth < pLimit; pTruth++ )
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{
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c0 = Abc_Tt6Cofactor0( pTruth[0], iVar );
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c1 = Abc_Tt6Cofactor1( pTruth[0], iVar );
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if ( c0 == c1 )
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continue;
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if ( c0 < c1 )
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return 0;
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for ( ; pTruth < pLimit; pTruth++ )
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pTruth[0] = Abc_Tt6Flip( pTruth[0], iVar );
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return 0;
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}
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}
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else
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{
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for ( ; pTruth < pLimit; pTruth += (nWordsI << 1) )
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for ( w = 0; w < nWordsI; w++ )
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{
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c0 = pTruth[0];
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c1 = pTruth[nWordsI];
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if ( c0 == c1 )
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continue;
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if ( c0 < c1 )
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return 0;
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for ( ; pTruth < pLimit; pTruth += (nWordsI << 1) )
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for ( ; w < nWordsI; w++ )
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ABC_SWAP( word, pTruth[0], pTruth[nWordsI] );
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return 0;
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}
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}
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assert( 0 );
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return -1;
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}
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int Dua_DsdCheckCof0Const0( word * pTruth, int nWords, int iVar )
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{
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if ( nWords == 1 )
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return (pTruth[0] & s_Truths6Neg[iVar]) == 0;
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if ( iVar <= 5 )
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{
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int w;
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for ( w = 0; w < nWords; w++ )
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if ( (pTruth[w] & s_Truths6Neg[iVar]) )
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return 0;
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return 1;
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}
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else // if ( iVar > 5 )
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{
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word * pLimit = pTruth + nWords;
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int i, iStep = Abc_TtWordNum(iVar);
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for ( ; pTruth < pLimit; pTruth += (iStep << 1) )
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for ( i = 0; i < iStep; i++ )
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if ( pTruth[i] )
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return 0;
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return 1;
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}
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}
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int Dua_DsdCheckCofsEqualNot( word * pTruth, int nWords, int iVar )
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{
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if ( nWords == 1 )
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return (pTruth[0] & s_Truths6Neg[iVar]) == ((~pTruth[0] & s_Truths6[iVar]) >> (1 << iVar));
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if ( iVar <= 5 )
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{
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int w, shift = (1 << iVar);
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for ( w = 0; w < nWords; w++ )
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if ( (pTruth[w] & s_Truths6Neg[iVar]) != ((~pTruth[w] & s_Truths6[iVar]) >> shift) )
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return 0;
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return 1;
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}
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else // if ( iVar > 5 )
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{
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word * pLimit = pTruth + nWords;
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int i, iStep = Abc_TtWordNum(iVar);
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for ( ; pTruth < pLimit; pTruth += (iStep << 1) )
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for ( i = 0; i < iStep; i++ )
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if ( pTruth[i] != ~pTruth[i + iStep] )
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return 0;
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return 1;
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}
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}
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int Dua_DsdOneVar( Dua_Dsd_t * pRes )
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{
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int v, fCompl, fChange = 1;
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fCompl = Dua_DsdTryConst( pRes->pTruth, pRes->nWords );
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while ( fChange && pRes->nVars > 2 )
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{
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fChange = 0;
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for ( v = 0; v < pRes->nVars; v++ )
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{
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fCompl ^= Dua_DsdTryVar( pRes->pTruth, pRes->nWords, v );
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if ( Dua_DsdCheckCof0Const0( pRes->pTruth, pRes->nWords, v ) )
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{
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fChange = 1;
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// record AND(v, F)
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}
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else if ( Dua_DsdCheckCofsEqualNot( pRes->pTruth, pRes->nWords, v ) )
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{
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fChange = 1;
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// record XOR(v, F)
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}
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}
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}
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return fCompl;
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}
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/**Function*************************************************************
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Synopsis []
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Description []
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SideEffects []
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SeeAlso []
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***********************************************************************/
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int Dua_DsdTrySwap( word * pTruth, int nWords, int iVar )
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{
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static word s_PMasks[5][3] = {
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{ ABC_CONST(0x9999999999999999), ABC_CONST(0x2222222222222222), ABC_CONST(0x4444444444444444) },
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{ ABC_CONST(0xC3C3C3C3C3C3C3C3), ABC_CONST(0x0C0C0C0C0C0C0C0C), ABC_CONST(0x3030303030303030) },
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{ ABC_CONST(0xF00FF00FF00FF00F), ABC_CONST(0x00F000F000F000F0), ABC_CONST(0x0F000F000F000F00) },
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{ ABC_CONST(0xFF0000FFFF0000FF), ABC_CONST(0x0000FF000000FF00), ABC_CONST(0x00FF000000FF0000) },
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{ ABC_CONST(0xFFFF00000000FFFF), ABC_CONST(0x00000000FFFF0000), ABC_CONST(0x0000FFFF00000000) }
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};
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if ( iVar < 5 )
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{
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int Shift = (1 << iVar);
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word c01, c10, * pLimit = pTruth + nWords;
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for ( ; pTruth < pLimit; pTruth++ )
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{
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c01 = (pTruth[0] & s_PMasks[iVar][1]);
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c10 = (pTruth[0] & s_PMasks[iVar][2]) >> Shift;
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if ( c01 == c10 )
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continue;
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if ( c01 < c10 )
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return 0;
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pTruth[0] = (pTruth[0] & s_PMasks[iVar][0]) | ((pTruth[0] & s_PMasks[iVar][1]) << Shift) | ((pTruth[0] & s_PMasks[iVar][2]) >> Shift);
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return 1;
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}
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}
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else if ( iVar == 5 )
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{
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unsigned * pTruthU = (unsigned *)pTruth;
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unsigned * pLimitU = (unsigned *)(pTruth + nWords);
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for ( ; pTruthU < pLimitU; pTruthU += 4 )
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{
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c01 = pTruthU[1];
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c10 = pTruthU[2];
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if ( c01 == c10 )
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continue;
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if ( c01 < c10 )
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return 0;
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for ( ; pTruthU < pLimitU; pTruthU += 4 )
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ABC_SWAP( unsigned, pTruthU[1], pTruthU[2] );
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return 1;
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}
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}
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else // if ( iVar > 5 )
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{
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word * pLimit = pTruth + nWords;
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int i, iStep = Abc_TtWordNum(iVar);
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for ( ; pTruth < pLimit; pTruth += 4*iStep )
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for ( i = 0; i < iStep; i++ )
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{
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c01 = pTruth[i + iStep];
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c10 = pTruth[i + 2*iStep];
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if ( c01 == c10 )
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continue;
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if ( c01 < c10 )
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return 0;
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for ( ; pTruth < pLimit; pTruth += 4*iStep )
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for ( ; i < iStep; i++ )
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ABC_SWAP( word, pTruth[1], pTruth[2] );
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return 1;
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}
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}
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return 2;
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}
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int Dua_DsdCheckDecomp( word * pTruth, int nWords, int iVar )
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{
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static word s_PMasks[5][4] = {
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{ ABC_CONST(0x1111111111111111), ABC_CONST(0x2222222222222222), ABC_CONST(0x4444444444444444), ABC_CONST(0x8888888888888888) },
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{ ABC_CONST(0x0303030303030303), ABC_CONST(0x0C0C0C0C0C0C0C0C), ABC_CONST(0x3030303030303030), ABC_CONST(0xC0C0C0C0C0C0C0C0) },
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{ ABC_CONST(0x000F000F000F000F), ABC_CONST(0x00F000F000F000F0), ABC_CONST(0x0F000F000F000F00), ABC_CONST(0xF000F000F000F000) },
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{ ABC_CONST(0x000000FF000000FF), ABC_CONST(0x0000FF000000FF00), ABC_CONST(0x00FF000000FF0000), ABC_CONST(0xFF000000FF000000) },
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{ ABC_CONST(0x000000000000FFFF), ABC_CONST(0x00000000FFFF0000), ABC_CONST(0x0000FFFF00000000), ABC_CONST(0xFFFF000000000000) }
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};
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int fC0eC1 = 1, fC0eC3 = 1;
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if ( iVar < 5 )
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{
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int Shift = (1 << iVar);
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word c01, c10, * pLimit = pTruth + nWords;
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for ( ; pTruth < pLimit; pTruth++ )
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{
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if ( fC0eC1 && (pTruth[0] & s_PMasks[iVar][0]) != ((pTruth[0] & s_PMasks[iVar][1]) >> Shift) )
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fC0eC1 = 0;
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if ( fC0eC3 && (pTruth[0] & s_PMasks[iVar][0]) != ((pTruth[0] & s_PMasks[iVar][3]) >> (3*Shift)) )
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fC0eC3 = 0;
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if ( !fC0eC1 && !fC0eC3 )
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return 0;
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}
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}
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if ( iVar == 5 )
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{
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unsigned * pTruthU = (unsigned *)pTruth;
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unsigned * pLimitU = (unsigned *)(pTruth + nWords);
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for ( ; pTruthU < pLimitU; pTruthU += 4 )
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{
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if ( fC0eC1 && pTruthU[0] != pTruthU[1] )
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fC0eC1 = 0;
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if ( fC0eC3 && pTruthU[0] != pTruthU[3] )
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fC0eC3 = 0;
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if ( !fC0eC1 && !fC0eC3 )
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return 0;
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}
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}
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else // if ( iVar > 5 )
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{
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word * pLimit = pTruth + nWords;
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int i, iStep = Abc_TtWordNum(iVar);
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for ( ; pTruth < pLimit; pTruth += 4*iStep )
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for ( i = 0; i < iStep; i++ )
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{
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if ( fC0eC1 && pTruth[0] != pTruth[1] )
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fC0eC1 = 0;
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if ( fC0eC3 && pTruth[0] != pTruth[3] )
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fC0eC3 = 0;
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if ( !fC0eC1 && !fC0eC3 )
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return 0;
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}
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}
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assert( fC0eC1 != fC0eC3 );
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return fC0eC1 ? 1 : 2;
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}
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// returns 1 if decomposition detected
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int Dua_DsdTwoVars( Dua_Dsd_t * pRes )
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{
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int v, RetValue, fChange = 1;
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while ( fChange && pRes->nVars > 2 )
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{
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fChange = 0;
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for ( v = 0; v < pRes->nVars - 1; v++ )
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{
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RetValue = Dua_DsdTrySwap( pRes->pTruth, pRes->nWords, v );
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if ( RetValue == 1 )
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fChange = 1;
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if ( RetValue != 2 )
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continue;
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// vars are symmetric, check decomp
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RetValue = Dua_DsdCheckDecomp( pRes->pTruth, pRes->nWords, v );
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if ( RetValue == 0 )
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continue;
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if ( RetValue == 1 )
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{
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fChange = 1;
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// record AND(a, b)
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}
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else
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{
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fChange = 1;
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// record XOR(a, b)
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}
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}
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}
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}
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/**Function*************************************************************
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Synopsis [Check DSD for bound-set [iVar; jVar).]
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Description [Return D-func if decomposable.]
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SideEffects []
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SeeAlso []
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***********************************************************************/
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word Dua_DsdRangeVars( word * pTruth, int nVars, int iVar, int jVar, int fPerform )
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{
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int Part, nParts = 1 << (nVars - jVar);
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int Mint, nMints = 1 << (jVar - iVar);
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word MaskOne, MaskAll = 0;
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assert( jVar - iVar > 2 );
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assert( jVar - iVar < 7 );
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if ( iVar < 6 )
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{
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int Shift = 6 - iVar, MaskF = (1 << Shift) - 1, iMint = 0;
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word MaskFF = (((word)1) << (1 << iVar)) - 1;
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word Cof0, Cof1, Value;
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for ( Part = 0; Part < nParts; Part++ )
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{
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MaskOne = 0;
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Cof0 = Cof1 = ~(word)0;
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for ( Mint = 0; Mint < nMints; Mint++, iMint++ )
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{
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Value = (pTruth[iMint>>Shift] >> ((iMint & MaskF)<<iVar)) & MaskFF;
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if ( !~Cof0 || Cof0 == Value )
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Cof0 = Value;
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else if ( !~Cof1 || Cof1 == Value )
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{
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Cof1 = Value;
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MaskOne |= ((word)1) << Mint;
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}
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else
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return 0;
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}
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if ( Part == 0 )
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MaskAll = MaskOne;
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else if ( MaskAll != MaskOne )
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return 0;
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if ( fPerform )
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{
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assert( ~Cof0 && ~Cof1 );
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Mint = 2 * Part;
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Value = (pTruth[Mint>>Shift] >> ((Mint & MaskF)<<nVarsF)) & MaskFF;
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pTruth[Mint>>Shift] ^= (Value ^ Cof0) << ((Mint & MaskF)<<nVarsF)
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Mint = 2 * Part + 1;
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Value = (pTruth[Mint>>Shift] >> ((Mint & MaskF)<<nVarsF)) & MaskFF;
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pTruth[Mint>>Shift] ^= (Value ^ Cof1) << ((Mint & MaskF)<<nVarsF)
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}
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}
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// stretch
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if ( nVars - (jVar - iVar) + 1 < 6 )
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pTruth[0] = Abc_Tt6Stretch( pTruth[0], nVars - (jVar - iVar) + 1 );
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}
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else
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{
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int nWordsF = Abc_TtWordNum(iVar);
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int iWord = 0, nBytes = sizeof(word) * nWordsF;
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word * pCof0, * pCof1;
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for ( Part = 0; Part < nParts; Part++ )
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{
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MaskOne = 0;
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pCof0 = pCof1 = NULL;
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for ( Mint = 0; Mint < nMints; Mint++, iWord += nWordsF )
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{
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if ( !pCof0 || !memcmp(pCof0, pTruth + iWord, nBytes) )
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pCof0 = pTruth + iWord;
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else if ( !pCof1 || !memcmp(pCof1, pTruth + iWord, nBytes) )
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{
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pCof1 = pTruth + iWord;
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MaskOne |= ((word)1) << Mint;
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}
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else
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return 0;
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}
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if ( Part == 0 )
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MaskAll = MaskOne;
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else if ( MaskAll != MaskOne )
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return 0;
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if ( fPerform )
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{
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assert( pCof0 && pCof1 );
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memcpy( pTruth + (2 * Part + 0) * nWordsF, pCof0, nBytes );
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memcpy( pTruth + (2 * Part + 1) * nWordsF, pCof1, nBytes );
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}
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}
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}
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return MaskAll;
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}
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/**Function*************************************************************
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Synopsis [Check DSD for bound-set [0; iVar).]
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Description [Return D-func if decomposable.]
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SideEffects []
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SeeAlso []
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***********************************************************************/
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int Dua_DsdRangeVars0( word * pTruth, int nVars, int iVar, int fPerform )
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{
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int i, nParts = 1 << (nVars - iVar);
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assert( iVar > 2 && iVar < nVars );
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if ( iVar == 3 )
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{
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unsigned char * pTruthP = (unsigned char *)pTruth, Dfunc = pTruthP[0];
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for ( i = 1; i < nParts; i++ )
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if ( pTruthP[i] != Dfunc && pTruthP[i] != ~Dfunc )
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return 0;
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}
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else if ( iVar == 4 )
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{
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unsigned short * pTruthP = (unsigned short *)pTruth, Dfunc = pTruthP[0];
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for ( i = 1; i < nParts; i++ )
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if ( pTruthP[i] != Dfunc && pTruthP[i] != ~Dfunc )
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return 0;
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}
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else if ( iVar == 5 )
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{
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unsigned int * pTruthP = (unsigned int *)pTruth, Dfunc = pTruthP[0];
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for ( i = 1; i < nParts; i++ )
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if ( pTruthP[i] != Dfunc && pTruthP[i] != ~Dfunc )
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return 0;
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}
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else
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{
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int nStep = 1 << (6 - iVar);
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assert( iVar >= 6 );
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for ( i = 1; i < nParts; i++ )
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if ( !Abc_TtEqual(pTruth, pTruth + i * nStep, nStep) && !Abc_TtEqualNot(pTruth, pTruth + i * nStep, nStep) )
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return 0;
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}
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return 1;
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}
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void Dua_DsdRangeVars0Derive( word * pTruth, int nVars, int iVar )
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{
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int i, nParts = 1 << (nVars - iVar);
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assert( iVar > 2 && iVar < nVars );
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if ( iVar == 3 )
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{
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unsigned char * pTruthP = (unsigned char *)pTruth, Dfunc = pTruthP[0];
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for ( i = 0; i < nParts; i++ )
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if ( Abc_TtGetBit(pTruth, i) ^ (pTruthP[i] != Dfunc) )
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Abc_TtXorBit(pTruth, i);
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}
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else if ( iVar == 4 )
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{
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unsigned short * pTruthP = (unsigned short *)pTruth, Dfunc = pTruthP[0];
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for ( i = 0; i < nParts; i++ )
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if ( Abc_TtGetBit(pTruth, i) ^ (pTruthP[i] != Dfunc) )
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Abc_TtXorBit(pTruth, i);
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}
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else if ( iVar == 5 )
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{
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unsigned int * pTruthP = (unsigned int *)pTruth, Dfunc = pTruthP[0];
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for ( i = 0; i < nParts; i++ )
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if ( Abc_TtGetBit(pTruth, i) ^ (pTruthP[i] != Dfunc) )
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Abc_TtXorBit(pTruth, i);
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}
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else
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{
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word Dfunc = pTruth[0];
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assert( iVar == 6 );
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for ( i = 0; i < nParts; i++ )
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if ( Abc_TtGetBit(pTruth, i) ^ (pTruth[i] != Dfunc) )
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Abc_TtXorBit(pTruth, i);
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}
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// stretch
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if ( nVars - iVar + 1 < 6 )
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pTruth[0] = Abc_Tt6Stretch( pTruth[0], nVars - iVar + 1 < 6 );
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}
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/**Function*************************************************************
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Synopsis []
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Description []
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SideEffects []
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SeeAlso []
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***********************************************************************/
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void Dua_DsdTest( word * pTruth, int nVar )
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{
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Dua_Dsd_t Res, * pRes = &Res;
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Dua_DsdInit( pRes, pTruth, nVars );
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}
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////////////////////////////////////////////////////////////////////////
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/// END OF FILE ///
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////////////////////////////////////////////////////////////////////////
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ABC_NAMESPACE_IMPL_END
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