mirror of https://github.com/YosysHQ/abc.git
1140 lines
43 KiB
C
1140 lines
43 KiB
C
/**CFile****************************************************************
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FileName [utilIsop.c]
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SystemName [ABC: Logic synthesis and verification system.]
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PackageName [ISOP computation.]
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Synopsis [ISOP computation.]
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Author [Alan Mishchenko]
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Affiliation [UC Berkeley]
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Date [Ver. 1.0. Started - October 4, 2014.]
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Revision [$Id: utilIsop.c,v 1.00 2014/10/04 00:00:00 alanmi Exp $]
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***********************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <assert.h>
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#include "misc/vec/vec.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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#define ABC_ISOP_MAX_VAR 16
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#define ABC_ISOP_MAX_WORD (ABC_ISOP_MAX_VAR > 6 ? (1 << (ABC_ISOP_MAX_VAR-6)) : 1)
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#define ABC_ISOP_MAX_CUBE 0xFFFF
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typedef word FUNC_ISOP( word *, word *, word *, word, int * );
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static FUNC_ISOP Abc_Isop7Cover;
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static FUNC_ISOP Abc_Isop8Cover;
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static FUNC_ISOP Abc_Isop9Cover;
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static FUNC_ISOP Abc_Isop10Cover;
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static FUNC_ISOP Abc_Isop11Cover;
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static FUNC_ISOP Abc_Isop12Cover;
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static FUNC_ISOP Abc_Isop13Cover;
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static FUNC_ISOP Abc_Isop14Cover;
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static FUNC_ISOP Abc_Isop15Cover;
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static FUNC_ISOP Abc_Isop16Cover;
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static FUNC_ISOP * s_pFuncIsopCover[17] =
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{
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NULL, // 0
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NULL, // 1
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NULL, // 2
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NULL, // 3
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NULL, // 4
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NULL, // 5
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NULL, // 6
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Abc_Isop7Cover, // 7
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Abc_Isop8Cover, // 8
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Abc_Isop9Cover, // 9
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Abc_Isop10Cover, // 10
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Abc_Isop11Cover, // 11
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Abc_Isop12Cover, // 12
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Abc_Isop13Cover, // 13
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Abc_Isop14Cover, // 14
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Abc_Isop15Cover, // 15
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Abc_Isop16Cover // 16
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};
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extern word Abc_IsopCheck( word * pOn, word * pOnDc, word * pRes, int nVars, word CostLim, int * pCover );
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extern word Abc_EsopCheck( word * pOn, int nVars, word CostLim, int * pCover );
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static inline word Abc_Cube2Cost( int nCubes ) { return (word)nCubes << 32; }
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static inline int Abc_CostCubes( word Cost ) { return (int)(Cost >> 32); }
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static inline int Abc_CostLits( word Cost ) { return (int)(Cost & 0xFFFFFFFF); }
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////////////////////////////////////////////////////////////////////////
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/// FUNCTION DEFINITIONS ///
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////////////////////////////////////////////////////////////////////////
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/**Function*************************************************************
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Synopsis [These procedures assume that function has exact support.]
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Description []
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SideEffects []
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SeeAlso []
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***********************************************************************/
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static inline void Abc_IsopAddLits( int * pCover, word Cost0, word Cost1, int Var )
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{
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if ( pCover )
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{
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int c, nCubes0, nCubes1;
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nCubes0 = Abc_CostCubes( Cost0 );
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nCubes1 = Abc_CostCubes( Cost1 );
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for ( c = 0; c < nCubes0; c++ )
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pCover[c] |= (1 << Abc_Var2Lit(Var,0));
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for ( c = 0; c < nCubes1; c++ )
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pCover[nCubes0+c] |= (1 << Abc_Var2Lit(Var,1));
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}
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}
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word Abc_Isop6Cover( word uOn, word uOnDc, word * pRes, int nVars, word CostLim, int * pCover )
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{
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word uOn0, uOn1, uOnDc0, uOnDc1, uRes0, uRes1, uRes2;
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word Cost0, Cost1, Cost2; int Var;
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assert( nVars <= 6 );
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assert( (uOn & ~uOnDc) == 0 );
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if ( uOn == 0 )
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{
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pRes[0] = 0;
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return 0;
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}
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if ( uOnDc == ~(word)0 )
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{
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pRes[0] = ~(word)0;
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if ( pCover ) pCover[0] = 0;
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return Abc_Cube2Cost(1);
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}
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assert( nVars > 0 );
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// find the topmost var
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for ( Var = nVars-1; Var >= 0; Var-- )
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if ( Abc_Tt6HasVar( uOn, Var ) || Abc_Tt6HasVar( uOnDc, Var ) )
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break;
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assert( Var >= 0 );
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// cofactor
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uOn0 = Abc_Tt6Cofactor0( uOn, Var );
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uOn1 = Abc_Tt6Cofactor1( uOn , Var );
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uOnDc0 = Abc_Tt6Cofactor0( uOnDc, Var );
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uOnDc1 = Abc_Tt6Cofactor1( uOnDc, Var );
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// solve for cofactors
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Cost0 = Abc_Isop6Cover( uOn0 & ~uOnDc1, uOnDc0, &uRes0, Var, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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Cost1 = Abc_Isop6Cover( uOn1 & ~uOnDc0, uOnDc1, &uRes1, Var, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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Cost2 = Abc_Isop6Cover( (uOn0 & ~uRes0) | (uOn1 & ~uRes1), uOnDc0 & uOnDc1, &uRes2, Var, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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*pRes = uRes2 | (uRes0 & s_Truths6Neg[Var]) | (uRes1 & s_Truths6[Var]);
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assert( (uOn & ~*pRes) == 0 && (*pRes & ~uOnDc) == 0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, Var );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop7Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn0, uOn1, uOn2, uOnDc2, uRes0, uRes1, uRes2;
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word Cost0, Cost1, Cost2; int nVars = 6;
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assert( (pOn[0] & ~pOnDc[0]) == 0 );
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assert( (pOn[1] & ~pOnDc[1]) == 0 );
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// cofactor
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uOn0 = pOn[0] & ~pOnDc[1];
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uOn1 = pOn[1] & ~pOnDc[0];
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// solve for cofactors
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Cost0 = Abc_IsopCheck( &uOn0, pOnDc, &uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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Cost1 = Abc_IsopCheck( &uOn1, pOnDc+1, &uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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uOn2 = (pOn[0] & ~uRes0) | (pOn[1] & ~uRes1);
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uOnDc2 = pOnDc[0] & pOnDc[1];
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Cost2 = Abc_IsopCheck( &uOn2, &uOnDc2, &uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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pRes[0] = uRes2 | uRes0;
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pRes[1] = uRes2 | uRes1;
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assert( (pOn[0] & ~pRes[0]) == 0 && (pRes[0] & ~pOnDc[0]) == 0 );
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assert( (pOn[1] & ~pRes[1]) == 0 && (pRes[1] & ~pOnDc[1]) == 0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop8Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn2[2], uOnDc2[2], uRes0[2], uRes1[2], uRes2[2];
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word Cost0, Cost1, Cost2; int nVars = 7;
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// negative cofactor
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uOn2[0] = pOn[0] & ~pOnDc[2];
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uOn2[1] = pOn[1] & ~pOnDc[3];
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Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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// positive cofactor
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uOn2[0] = pOn[2] & ~pOnDc[0];
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uOn2[1] = pOn[3] & ~pOnDc[1];
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Cost1 = Abc_IsopCheck( uOn2, pOnDc+2, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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// middle cofactor
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uOn2[0] = (pOn[0] & ~uRes0[0]) | (pOn[2] & ~uRes1[0]); uOnDc2[0] = pOnDc[0] & pOnDc[2];
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uOn2[1] = (pOn[1] & ~uRes0[1]) | (pOn[3] & ~uRes1[1]); uOnDc2[1] = pOnDc[1] & pOnDc[3];
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Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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pRes[0] = uRes2[0] | uRes0[0];
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pRes[1] = uRes2[1] | uRes0[1];
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pRes[2] = uRes2[0] | uRes1[0];
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pRes[3] = uRes2[1] | uRes1[1];
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assert( (pOn[0] & ~pRes[0]) == 0 && (pOn[1] & ~pRes[1]) == 0 && (pOn[2] & ~pRes[2]) == 0 && (pOn[3] & ~pRes[3]) == 0 );
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assert( (pRes[0] & ~pOnDc[0])==0 && (pRes[1] & ~pOnDc[1])==0 && (pRes[2] & ~pOnDc[2])==0 && (pRes[3] & ~pOnDc[3])==0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop9Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn2[4], uOnDc2[4], uRes0[4], uRes1[4], uRes2[4];
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word Cost0, Cost1, Cost2; int c, nVars = 8, nWords = 4;
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// negative cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
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Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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// positive cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
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Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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// middle cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
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Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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for ( c = 0; c < nWords; c++ )
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pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
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// verify
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for ( c = 0; c < (nWords<<1); c++ )
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assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop10Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn2[8], uOnDc2[8], uRes0[8], uRes1[8], uRes2[8];
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word Cost0, Cost1, Cost2; int c, nVars = 9, nWords = 8;
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// negative cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
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Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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// positive cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
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Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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// middle cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
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Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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for ( c = 0; c < nWords; c++ )
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pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
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// verify
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for ( c = 0; c < (nWords<<1); c++ )
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assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop11Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn2[16], uOnDc2[16], uRes0[16], uRes1[16], uRes2[16];
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word Cost0, Cost1, Cost2; int c, nVars = 10, nWords = 16;
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// negative cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
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Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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// positive cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
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Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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// middle cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
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Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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for ( c = 0; c < nWords; c++ )
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pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
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// verify
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for ( c = 0; c < (nWords<<1); c++ )
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assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop12Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn2[32], uOnDc2[32], uRes0[32], uRes1[32], uRes2[32];
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word Cost0, Cost1, Cost2; int c, nVars = 11, nWords = 32;
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// negative cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
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Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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// positive cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
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Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
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if ( Cost0 + Cost1 >= CostLim ) return CostLim;
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// middle cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
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Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
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if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
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// derive the final truth table
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for ( c = 0; c < nWords; c++ )
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pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
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// verify
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for ( c = 0; c < (nWords<<1); c++ )
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assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
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Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
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return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
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}
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word Abc_Isop13Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
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{
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word uOn2[64], uOnDc2[64], uRes0[64], uRes1[64], uRes2[64];
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word Cost0, Cost1, Cost2; int c, nVars = 12, nWords = 64;
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// negative cofactor
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for ( c = 0; c < nWords; c++ )
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uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
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Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
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if ( Cost0 >= CostLim ) return CostLim;
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// positive cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
|
|
Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
|
|
if ( Cost0 + Cost1 >= CostLim ) return CostLim;
|
|
// middle cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
|
|
Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
|
|
if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
|
|
// derive the final truth table
|
|
for ( c = 0; c < nWords; c++ )
|
|
pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
|
|
// verify
|
|
for ( c = 0; c < (nWords<<1); c++ )
|
|
assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
|
|
Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
|
|
return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
|
|
}
|
|
word Abc_Isop14Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
|
|
{
|
|
word uOn2[128], uOnDc2[128], uRes0[128], uRes1[128], uRes2[128];
|
|
word Cost0, Cost1, Cost2; int c, nVars = 13, nWords = 128;
|
|
// negative cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
|
|
Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
|
|
if ( Cost0 >= CostLim ) return CostLim;
|
|
// positive cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
|
|
Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
|
|
if ( Cost0 + Cost1 >= CostLim ) return CostLim;
|
|
// middle cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
|
|
Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
|
|
if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
|
|
// derive the final truth table
|
|
for ( c = 0; c < nWords; c++ )
|
|
pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
|
|
// verify
|
|
for ( c = 0; c < (nWords<<1); c++ )
|
|
assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
|
|
Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
|
|
return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
|
|
}
|
|
word Abc_Isop15Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
|
|
{
|
|
word uOn2[256], uOnDc2[256], uRes0[256], uRes1[256], uRes2[256];
|
|
word Cost0, Cost1, Cost2; int c, nVars = 14, nWords = 256;
|
|
// negative cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
|
|
Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
|
|
if ( Cost0 >= CostLim ) return CostLim;
|
|
// positive cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
|
|
Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
|
|
if ( Cost0 + Cost1 >= CostLim ) return CostLim;
|
|
// middle cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
|
|
Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
|
|
if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
|
|
// derive the final truth table
|
|
for ( c = 0; c < nWords; c++ )
|
|
pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
|
|
// verify
|
|
for ( c = 0; c < (nWords<<1); c++ )
|
|
assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
|
|
Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
|
|
return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
|
|
}
|
|
word Abc_Isop16Cover( word * pOn, word * pOnDc, word * pRes, word CostLim, int * pCover )
|
|
{
|
|
word uOn2[512], uOnDc2[512], uRes0[512], uRes1[512], uRes2[512];
|
|
word Cost0, Cost1, Cost2; int c, nVars = 15, nWords = 512;
|
|
// negative cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c] & ~pOnDc[c+nWords];
|
|
Cost0 = Abc_IsopCheck( uOn2, pOnDc, uRes0, nVars, CostLim, pCover );
|
|
if ( Cost0 >= CostLim ) return CostLim;
|
|
// positive cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = pOn[c+nWords] & ~pOnDc[c];
|
|
Cost1 = Abc_IsopCheck( uOn2, pOnDc+nWords, uRes1, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
|
|
if ( Cost0 + Cost1 >= CostLim ) return CostLim;
|
|
// middle cofactor
|
|
for ( c = 0; c < nWords; c++ )
|
|
uOn2[c] = (pOn[c] & ~uRes0[c]) | (pOn[c+nWords] & ~uRes1[c]), uOnDc2[c] = pOnDc[c] & pOnDc[c+nWords];
|
|
Cost2 = Abc_IsopCheck( uOn2, uOnDc2, uRes2, nVars, CostLim, pCover ? pCover + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1) : NULL );
|
|
if ( Cost0 + Cost1 + Cost2 >= CostLim ) return CostLim;
|
|
// derive the final truth table
|
|
for ( c = 0; c < nWords; c++ )
|
|
pRes[c] = uRes2[c] | uRes0[c], pRes[c+nWords] = uRes2[c] | uRes1[c];
|
|
// verify
|
|
for ( c = 0; c < (nWords<<1); c++ )
|
|
assert( (pOn[c] & ~pRes[c] ) == 0 && (pRes[c] & ~pOnDc[c]) == 0 );
|
|
Abc_IsopAddLits( pCover, Cost0, Cost1, nVars );
|
|
return Cost0 + Cost1 + Cost2 + Abc_CostCubes(Cost0) + Abc_CostCubes(Cost1);
|
|
}
|
|
word Abc_IsopCheck( word * pOn, word * pOnDc, word * pRes, int nVars, word CostLim, int * pCover )
|
|
{
|
|
int nVarsNew; word Cost;
|
|
if ( nVars <= 6 )
|
|
return Abc_Isop6Cover( *pOn, *pOnDc, pRes, nVars, CostLim, pCover );
|
|
for ( nVarsNew = nVars; nVarsNew > 6; nVarsNew-- )
|
|
if ( Abc_TtHasVar( pOn, nVars, nVarsNew-1 ) || Abc_TtHasVar( pOnDc, nVars, nVarsNew-1 ) )
|
|
break;
|
|
if ( nVarsNew == 6 )
|
|
Cost = Abc_Isop6Cover( *pOn, *pOnDc, pRes, nVarsNew, CostLim, pCover );
|
|
else
|
|
Cost = s_pFuncIsopCover[nVarsNew]( pOn, pOnDc, pRes, CostLim, pCover );
|
|
Abc_TtStretch6( pRes, nVarsNew, nVars );
|
|
return Cost;
|
|
}
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis [Create truth table for the given cover.]
|
|
|
|
Description []
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
static inline word ** Abc_IsopTtElems()
|
|
{
|
|
static word TtElems[ABC_ISOP_MAX_VAR+1][ABC_ISOP_MAX_WORD], * pTtElems[ABC_ISOP_MAX_VAR+1] = {NULL};
|
|
if ( pTtElems[0] == NULL )
|
|
{
|
|
int v;
|
|
for ( v = 0; v <= ABC_ISOP_MAX_VAR; v++ )
|
|
pTtElems[v] = TtElems[v];
|
|
Abc_TtElemInit( pTtElems, ABC_ISOP_MAX_VAR );
|
|
}
|
|
return pTtElems;
|
|
}
|
|
void Abc_IsopBuildTruth( Vec_Int_t * vCover, int nVars, word * pRes, int fXor, int fCompl )
|
|
{
|
|
word ** pTtElems = Abc_IsopTtElems();
|
|
word pCube[ABC_ISOP_MAX_WORD];
|
|
int nWords = Abc_TtWordNum( nVars );
|
|
int c, v, Cube;
|
|
assert( nVars <= ABC_ISOP_MAX_VAR );
|
|
Abc_TtClear( pRes, nWords );
|
|
Vec_IntForEachEntry( vCover, Cube, c )
|
|
{
|
|
Abc_TtFill( pCube, nWords );
|
|
for ( v = 0; v < nVars; v++ )
|
|
if ( ((Cube >> (v << 1)) & 3) == 1 )
|
|
Abc_TtSharp( pCube, pCube, pTtElems[v], nWords );
|
|
else if ( ((Cube >> (v << 1)) & 3) == 2 )
|
|
Abc_TtAnd( pCube, pCube, pTtElems[v], nWords, 0 );
|
|
if ( fXor )
|
|
Abc_TtXor( pRes, pRes, pCube, nWords, 0 );
|
|
else
|
|
Abc_TtOr( pRes, pRes, pCube, nWords );
|
|
}
|
|
if ( fCompl )
|
|
Abc_TtNot( pRes, nWords );
|
|
}
|
|
static inline void Abc_IsopVerify( word * pFunc, int nVars, word * pRes, Vec_Int_t * vCover, int fXor, int fCompl )
|
|
{
|
|
Abc_IsopBuildTruth( vCover, nVars, pRes, fXor, fCompl );
|
|
if ( !Abc_TtEqual( pFunc, pRes, Abc_TtWordNum(nVars) ) )
|
|
printf( "Verification failed.\n" );
|
|
// else
|
|
// printf( "Verification succeeded.\n" );
|
|
}
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis [This procedure assumes that function has exact support.]
|
|
|
|
Description []
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
int Abc_Isop( word * pFunc, int nVars, int nCubeLim, Vec_Int_t * vCover, int fTryBoth )
|
|
{
|
|
word pRes[ABC_ISOP_MAX_WORD];
|
|
word Cost0, Cost1, Cost, CostInit = Abc_Cube2Cost(nCubeLim);
|
|
assert( nVars <= ABC_ISOP_MAX_VAR );
|
|
Vec_IntGrow( vCover, 1 << (nVars-1) );
|
|
if ( fTryBoth )
|
|
{
|
|
Cost0 = Abc_IsopCheck( pFunc, pFunc, pRes, nVars, CostInit, NULL );
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
Cost1 = Abc_IsopCheck( pFunc, pFunc, pRes, nVars, Cost0, NULL );
|
|
Cost = Abc_MinWord( Cost0, Cost1 );
|
|
if ( Cost == CostInit )
|
|
{
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
return -1;
|
|
}
|
|
if ( Cost == Cost0 )
|
|
{
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
Abc_IsopCheck( pFunc, pFunc, pRes, nVars, CostInit, Vec_IntArray(vCover) );
|
|
}
|
|
else // if ( Cost == Cost1 )
|
|
{
|
|
Abc_IsopCheck( pFunc, pFunc, pRes, nVars, CostInit, Vec_IntArray(vCover) );
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
}
|
|
}
|
|
else
|
|
{
|
|
Cost = Cost0 = Abc_IsopCheck( pFunc, pFunc, pRes, nVars, CostInit, Vec_IntArray(vCover) );
|
|
if ( Cost == CostInit )
|
|
return -1;
|
|
}
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
// Abc_IsopVerify( pFunc, nVars, pRes, vCover, 0, Cost != Cost0 );
|
|
return Cost != Cost0;
|
|
}
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis [Compute CNF assuming it does not exceed the limit.]
|
|
|
|
Description [Please note that pCover should have at least 32 extra entries!]
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
int Abc_IsopCnf( word * pFunc, int nVars, int nCubeLim, int * pCover )
|
|
{
|
|
word pRes[ABC_ISOP_MAX_WORD];
|
|
word Cost0, Cost1, CostInit = Abc_Cube2Cost(nCubeLim);
|
|
int c, nCubes0, nCubes1;
|
|
assert( nVars <= ABC_ISOP_MAX_VAR );
|
|
assert( Abc_TtHasVar( pFunc, nVars, nVars - 1 ) );
|
|
if ( nVars > 6 )
|
|
Cost0 = s_pFuncIsopCover[nVars]( pFunc, pFunc, pRes, CostInit, pCover );
|
|
else
|
|
Cost0 = Abc_Isop6Cover( *pFunc, *pFunc, pRes, nVars, CostInit, pCover );
|
|
if ( Cost0 >= CostInit )
|
|
return CostInit;
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
if ( nVars > 6 )
|
|
Cost1 = s_pFuncIsopCover[nVars]( pFunc, pFunc, pRes, CostInit, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
|
|
else
|
|
Cost1 = Abc_Isop6Cover( *pFunc, *pFunc, pRes, nVars, CostInit, pCover ? pCover + Abc_CostCubes(Cost0) : NULL );
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
if ( Cost0 + Cost1 >= CostInit )
|
|
return CostInit;
|
|
nCubes0 = Abc_CostCubes(Cost0);
|
|
nCubes1 = Abc_CostCubes(Cost1);
|
|
if ( pCover )
|
|
{
|
|
for ( c = 0; c < nCubes0; c++ )
|
|
pCover[c] |= (1 << Abc_Var2Lit(nVars, 0));
|
|
for ( c = 0; c < nCubes1; c++ )
|
|
pCover[c+nCubes0] |= (1 << Abc_Var2Lit(nVars, 1));
|
|
}
|
|
return nCubes0 + nCubes1;
|
|
}
|
|
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis []
|
|
|
|
Description []
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
int Abc_IsopCountLits( Vec_Int_t * vCover, int nVars )
|
|
{
|
|
int i, k, Entry, Literal, nLits = 0;
|
|
if ( Vec_IntSize(vCover) == 0 || (Vec_IntSize(vCover) == 1 && Vec_IntEntry(vCover, 0) == 0) )
|
|
return 0;
|
|
Vec_IntForEachEntry( vCover, Entry, i )
|
|
{
|
|
for ( k = 0; k < nVars; k++ )
|
|
{
|
|
Literal = 3 & (Entry >> (k << 1));
|
|
if ( Literal == 1 ) // neg literal
|
|
nLits++;
|
|
else if ( Literal == 2 ) // pos literal
|
|
nLits++;
|
|
else if ( Literal != 0 )
|
|
assert( 0 );
|
|
}
|
|
}
|
|
return nLits;
|
|
}
|
|
void Abc_IsopPrintCover( Vec_Int_t * vCover, int nVars, int fCompl )
|
|
{
|
|
int i, k, Entry, Literal;
|
|
if ( Vec_IntSize(vCover) == 0 || (Vec_IntSize(vCover) == 1 && Vec_IntEntry(vCover, 0) == 0) )
|
|
{
|
|
printf( "Constant %d\n", Vec_IntSize(vCover) );
|
|
return;
|
|
}
|
|
Vec_IntForEachEntry( vCover, Entry, i )
|
|
{
|
|
for ( k = 0; k < nVars; k++ )
|
|
{
|
|
Literal = 3 & (Entry >> (k << 1));
|
|
if ( Literal == 1 ) // neg literal
|
|
printf( "0" );
|
|
else if ( Literal == 2 ) // pos literal
|
|
printf( "1" );
|
|
else if ( Literal == 0 )
|
|
printf( "-" );
|
|
else assert( 0 );
|
|
}
|
|
printf( " %d\n", !fCompl );
|
|
}
|
|
}
|
|
void Abc_IsopPrint( word * t, int nVars, Vec_Int_t * vCover, int fTryBoth )
|
|
{
|
|
int fCompl = Abc_Isop( t, nVars, ABC_ISOP_MAX_CUBE, vCover, fTryBoth );
|
|
Abc_IsopPrintCover( vCover, nVars, fCompl );
|
|
}
|
|
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis [These procedures assume that function has exact support.]
|
|
|
|
Description []
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
static inline int Abc_EsopAddLits( int * pCover, word r0, word r1, word r2, word Max, int Var )
|
|
{
|
|
int i, c0, c1, c2;
|
|
if ( Max == r0 )
|
|
{
|
|
c2 = Abc_CostCubes(r2);
|
|
if ( pCover )
|
|
{
|
|
c0 = Abc_CostCubes(r0);
|
|
c1 = Abc_CostCubes(r1);
|
|
for ( i = 0; i < c1; i++ )
|
|
pCover[i] = pCover[c0+i];
|
|
for ( i = 0; i < c2; i++ )
|
|
pCover[c1+i] = pCover[c0+c1+i] | (1 << Abc_Var2Lit(Var,0));
|
|
}
|
|
return c2;
|
|
}
|
|
else if ( Max == r1 )
|
|
{
|
|
c2 = Abc_CostCubes(r2);
|
|
if ( pCover )
|
|
{
|
|
c0 = Abc_CostCubes(r0);
|
|
c1 = Abc_CostCubes(r1);
|
|
for ( i = 0; i < c2; i++ )
|
|
pCover[c0+i] = pCover[c0+c1+i] | (1 << Abc_Var2Lit(Var,1));
|
|
}
|
|
return c2;
|
|
}
|
|
else
|
|
{
|
|
c0 = Abc_CostCubes(r0);
|
|
c1 = Abc_CostCubes(r1);
|
|
if ( pCover )
|
|
{
|
|
c2 = Abc_CostCubes(r2);
|
|
for ( i = 0; i < c0; i++ )
|
|
pCover[i] |= (1 << Abc_Var2Lit(Var,0));
|
|
for ( i = 0; i < c1; i++ )
|
|
pCover[c0+i] |= (1 << Abc_Var2Lit(Var,1));
|
|
}
|
|
return c0 + c1;
|
|
}
|
|
}
|
|
word Abc_Esop6Cover( word t, int nVars, word CostLim, int * pCover )
|
|
{
|
|
word c0, c1;
|
|
word r0, r1, r2, Max;
|
|
int Var;
|
|
assert( nVars <= 6 );
|
|
if ( t == 0 )
|
|
return 0;
|
|
if ( t == ~(word)0 )
|
|
{
|
|
if ( pCover ) *pCover = 0;
|
|
return Abc_Cube2Cost(1);
|
|
}
|
|
assert( nVars > 0 );
|
|
// find the topmost var
|
|
for ( Var = nVars-1; Var >= 0; Var-- )
|
|
if ( Abc_Tt6HasVar( t, Var ) )
|
|
break;
|
|
assert( Var >= 0 );
|
|
// cofactor
|
|
c0 = Abc_Tt6Cofactor0( t, Var );
|
|
c1 = Abc_Tt6Cofactor1( t, Var );
|
|
// call recursively
|
|
r0 = Abc_Esop6Cover( c0, Var, CostLim, pCover ? pCover : NULL );
|
|
if ( r0 >= CostLim ) return CostLim;
|
|
r1 = Abc_Esop6Cover( c1, Var, CostLim, pCover ? pCover + Abc_CostCubes(r0) : NULL );
|
|
if ( r1 >= CostLim ) return CostLim;
|
|
r2 = Abc_Esop6Cover( c0 ^ c1, Var, CostLim, pCover ? pCover + Abc_CostCubes(r0) + Abc_CostCubes(r1) : NULL );
|
|
if ( r2 >= CostLim ) return CostLim;
|
|
Max = Abc_MaxWord( r0, Abc_MaxWord(r1, r2) );
|
|
if ( r0 + r1 + r2 - Max >= CostLim ) return CostLim;
|
|
return r0 + r1 + r2 - Max + Abc_EsopAddLits( pCover, r0, r1, r2, Max, Var );
|
|
}
|
|
word Abc_EsopCover( word * pOn, int nVars, word CostLim, int * pCover )
|
|
{
|
|
word r0, r1, r2, Max;
|
|
int c, nWords = (1 << (nVars - 7));
|
|
assert( nVars > 6 );
|
|
assert( Abc_TtHasVar( pOn, nVars, nVars - 1 ) );
|
|
r0 = Abc_EsopCheck( pOn, nVars-1, CostLim, pCover );
|
|
if ( r0 >= CostLim ) return CostLim;
|
|
r1 = Abc_EsopCheck( pOn+nWords, nVars-1, CostLim, pCover ? pCover + Abc_CostCubes(r0) : NULL );
|
|
if ( r1 >= CostLim ) return CostLim;
|
|
for ( c = 0; c < nWords; c++ )
|
|
pOn[c] ^= pOn[nWords+c];
|
|
r2 = Abc_EsopCheck( pOn, nVars-1, CostLim, pCover ? pCover + Abc_CostCubes(r0) + Abc_CostCubes(r1) : NULL );
|
|
for ( c = 0; c < nWords; c++ )
|
|
pOn[c] ^= pOn[nWords+c];
|
|
if ( r2 >= CostLim ) return CostLim;
|
|
Max = Abc_MaxWord( r0, Abc_MaxWord(r1, r2) );
|
|
if ( r0 + r1 + r2 - Max >= CostLim ) return CostLim;
|
|
return r0 + r1 + r2 - Max + Abc_EsopAddLits( pCover, r0, r1, r2, Max, nVars-1 );
|
|
}
|
|
word Abc_EsopCheck( word * pOn, int nVars, word CostLim, int * pCover )
|
|
{
|
|
int nVarsNew; word Cost;
|
|
if ( nVars <= 6 )
|
|
return Abc_Esop6Cover( *pOn, nVars, CostLim, pCover );
|
|
for ( nVarsNew = nVars; nVarsNew > 6; nVarsNew-- )
|
|
if ( Abc_TtHasVar( pOn, nVars, nVarsNew-1 ) )
|
|
break;
|
|
if ( nVarsNew == 6 )
|
|
Cost = Abc_Esop6Cover( *pOn, nVarsNew, CostLim, pCover );
|
|
else
|
|
Cost = Abc_EsopCover( pOn, nVarsNew, CostLim, pCover );
|
|
return Cost;
|
|
}
|
|
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis [Perform ISOP computation by subtracting cubes.]
|
|
|
|
Description []
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
static inline int Abc_TtIntersect2( word * pIn1, word * pIn2, int nWords )
|
|
{
|
|
int w;
|
|
for ( w = 0; w < nWords; w++ )
|
|
if ( pIn1[w] & pIn2[w] )
|
|
return 1;
|
|
return 0;
|
|
}
|
|
static inline int Abc_TtCheckWithCubePos2Neg( word * t, word * c, int nWords, int iVar )
|
|
{
|
|
if ( iVar < 6 )
|
|
{
|
|
int i, Shift = (1 << iVar);
|
|
for ( i = 0; i < nWords; i++ )
|
|
if ( t[i] & (c[i] >> Shift) )
|
|
return 0;
|
|
return 1;
|
|
}
|
|
else
|
|
{
|
|
int i, Step = (1 << (iVar - 6));
|
|
word * tLimit = t + nWords;
|
|
for ( ; t < tLimit; t += 2*Step )
|
|
for ( i = 0; i < Step; i++ )
|
|
if ( t[Step+i] & c[i] )
|
|
return 0;
|
|
return 1;
|
|
}
|
|
}
|
|
static inline int Abc_TtCheckWithCubeNeg2Pos( word * t, word * c, int nWords, int iVar )
|
|
{
|
|
if ( iVar < 6 )
|
|
{
|
|
int i, Shift = (1 << iVar);
|
|
for ( i = 0; i < nWords; i++ )
|
|
if ( t[i] & (c[i] << Shift) )
|
|
return 0;
|
|
return 1;
|
|
}
|
|
else
|
|
{
|
|
int i, Step = (1 << (iVar - 6));
|
|
word * tLimit = t + nWords;
|
|
for ( ; t < tLimit; t += 2*Step )
|
|
for ( i = 0; i < Step; i++ )
|
|
if ( t[i] & c[Step+i] )
|
|
return 0;
|
|
return 1;
|
|
}
|
|
}
|
|
static inline void Abc_TtExpandCubePos2Neg( word * t, int nWords, int iVar )
|
|
{
|
|
if ( iVar < 6 )
|
|
{
|
|
int i, Shift = (1 << iVar);
|
|
for ( i = 0; i < nWords; i++ )
|
|
t[i] |= (t[i] >> Shift);
|
|
}
|
|
else
|
|
{
|
|
int i, Step = (1 << (iVar - 6));
|
|
word * tLimit = t + nWords;
|
|
for ( ; t < tLimit; t += 2*Step )
|
|
for ( i = 0; i < Step; i++ )
|
|
t[i] = t[Step+i];
|
|
}
|
|
}
|
|
static inline void Abc_TtExpandCubeNeg2Pos( word * t, int nWords, int iVar )
|
|
{
|
|
if ( iVar < 6 )
|
|
{
|
|
int i, Shift = (1 << iVar);
|
|
for ( i = 0; i < nWords; i++ )
|
|
t[i] |= (t[i] << Shift);
|
|
}
|
|
else
|
|
{
|
|
int i, Step = (1 << (iVar - 6));
|
|
word * tLimit = t + nWords;
|
|
for ( ; t < tLimit; t += 2*Step )
|
|
for ( i = 0; i < Step; i++ )
|
|
t[Step+i] = t[i];
|
|
}
|
|
}
|
|
word Abc_IsopNew( word * pOn, word * pOnDc, word * pRes, int nVars, word CostLim, int * pCover )
|
|
{
|
|
word pCube[ABC_ISOP_MAX_WORD];
|
|
word pOnset[ABC_ISOP_MAX_WORD];
|
|
word pOffset[ABC_ISOP_MAX_WORD];
|
|
int pBlocks[16], nBlocks, vTwo, uTwo;
|
|
int nWords = Abc_TtWordNum(nVars);
|
|
int c, v, u, iMint, Cube, nLits = 0;
|
|
assert( nVars <= ABC_ISOP_MAX_VAR );
|
|
Abc_TtClear( pRes, nWords );
|
|
Abc_TtCopy( pOnset, pOn, nWords, 0 );
|
|
Abc_TtCopy( pOffset, pOnDc, nWords, 1 );
|
|
if ( nVars < 6 )
|
|
pOnset[0] >>= (64 - (1 << nVars));
|
|
for ( c = 0; !Abc_TtIsConst0(pOnset, nWords); c++ )
|
|
{
|
|
// pick one minterm
|
|
iMint = Abc_TtFindFirstBit(pOnset, nVars);
|
|
for ( Cube = v = 0; v < nVars; v++ )
|
|
Cube |= (1 << Abc_Var2Lit(v, (iMint >> v) & 1));
|
|
// check expansion for the minterm
|
|
nBlocks = 0;
|
|
for ( v = 0; v < nVars; v++ )
|
|
if ( (pBlocks[v] = Abc_TtGetBit(pOffset, iMint ^ (1 << v))) )
|
|
nBlocks++;
|
|
// check second step
|
|
if ( nBlocks == nVars ) // cannot expand
|
|
{
|
|
Abc_TtSetBit( pRes, iMint );
|
|
Abc_TtXorBit( pOnset, iMint );
|
|
pCover[c] = Cube;
|
|
nLits += nVars;
|
|
continue;
|
|
}
|
|
// check dual expansion
|
|
vTwo = uTwo = -1;
|
|
if ( nBlocks < nVars - 1 )
|
|
{
|
|
for ( v = 0; v < nVars && vTwo == -1; v++ )
|
|
if ( !pBlocks[v] )
|
|
for ( u = v + 1; u < nVars; u++ )
|
|
if ( !pBlocks[u] )
|
|
{
|
|
if ( Abc_TtGetBit( pOffset, iMint ^ (1 << v) ^ (1 << u) ) )
|
|
continue;
|
|
// can expand both directions
|
|
vTwo = v;
|
|
uTwo = u;
|
|
break;
|
|
}
|
|
}
|
|
if ( vTwo == -1 ) // can expand only one
|
|
{
|
|
for ( v = 0; v < nVars; v++ )
|
|
if ( !pBlocks[v] )
|
|
break;
|
|
Abc_TtSetBit( pRes, iMint );
|
|
Abc_TtSetBit( pRes, iMint ^ (1 << v) );
|
|
Abc_TtXorBit( pOnset, iMint );
|
|
if ( Abc_TtGetBit(pOnset, iMint ^ (1 << v)) )
|
|
Abc_TtXorBit( pOnset, iMint ^ (1 << v) );
|
|
pCover[c] = Cube & ~(3 << Abc_Var2Lit(v, 0));
|
|
nLits += nVars - 1;
|
|
continue;
|
|
}
|
|
if ( nBlocks == nVars - 2 && vTwo >= 0 ) // can expand only these two
|
|
{
|
|
Abc_TtSetBit( pRes, iMint );
|
|
Abc_TtSetBit( pRes, iMint ^ (1 << vTwo) );
|
|
Abc_TtSetBit( pRes, iMint ^ (1 << uTwo) );
|
|
Abc_TtSetBit( pRes, iMint ^ (1 << vTwo) ^ (1 << uTwo) );
|
|
Abc_TtXorBit( pOnset, iMint );
|
|
if ( Abc_TtGetBit(pOnset, iMint ^ (1 << vTwo)) )
|
|
Abc_TtXorBit( pOnset, iMint ^ (1 << vTwo) );
|
|
if ( Abc_TtGetBit(pOnset, iMint ^ (1 << uTwo)) )
|
|
Abc_TtXorBit( pOnset, iMint ^ (1 << uTwo) );
|
|
if ( Abc_TtGetBit(pOnset, iMint ^ (1 << vTwo) ^ (1 << uTwo)) )
|
|
Abc_TtXorBit( pOnset, iMint ^ (1 << vTwo) ^ (1 << uTwo) );
|
|
pCover[c] = Cube & ~(3 << Abc_Var2Lit(vTwo, 0)) & ~(3 << Abc_Var2Lit(uTwo, 0));
|
|
nLits += nVars - 2;
|
|
continue;
|
|
}
|
|
// can expand others as well
|
|
Abc_TtClear( pCube, nWords );
|
|
Abc_TtSetBit( pCube, iMint );
|
|
Abc_TtSetBit( pCube, iMint ^ (1 << vTwo) );
|
|
Abc_TtSetBit( pCube, iMint ^ (1 << uTwo) );
|
|
Abc_TtSetBit( pCube, iMint ^ (1 << vTwo) ^ (1 << uTwo) );
|
|
Cube &= ~(3 << Abc_Var2Lit(vTwo, 0)) & ~(3 << Abc_Var2Lit(uTwo, 0));
|
|
assert( !Abc_TtIntersect2(pCube, pOffset, nWords) );
|
|
// expand against offset
|
|
for ( v = 0; v < nVars; v++ )
|
|
if ( v != vTwo && v != uTwo )
|
|
{
|
|
int Shift = Abc_Var2Lit( v, 0 );
|
|
if ( (Cube >> Shift) == 2 && Abc_TtCheckWithCubePos2Neg(pOffset, pCube, nWords, v) ) // pos literal
|
|
{
|
|
Abc_TtExpandCubePos2Neg( pCube, nWords, v );
|
|
Cube &= ~(3 << Shift);
|
|
}
|
|
else if ( (Cube >> Shift) == 1 && Abc_TtCheckWithCubeNeg2Pos(pOffset, pCube, nWords, v) ) // neg literal
|
|
{
|
|
Abc_TtExpandCubeNeg2Pos( pCube, nWords, v );
|
|
Cube &= ~(3 << Shift);
|
|
}
|
|
else
|
|
nLits++;
|
|
}
|
|
// add cube to solution
|
|
Abc_TtOr( pRes, pRes, pCube, nWords );
|
|
Abc_TtSharp( pOnset, pOnset, pCube, nWords );
|
|
pCover[c] = Cube;
|
|
}
|
|
pRes[0] = Abc_Tt6Stretch( pRes[0], nVars );
|
|
return Abc_Cube2Cost(c) | nLits;
|
|
}
|
|
void Abc_IsopTestNew()
|
|
{
|
|
int nVars = 4;
|
|
Vec_Int_t * vCover = Vec_IntAlloc( 1000 );
|
|
word r, t = (s_Truths6[0] & s_Truths6[1]) ^ (s_Truths6[2] & s_Truths6[3]), copy = t;
|
|
// word r, t = ~s_Truths6[0] | (s_Truths6[1] & s_Truths6[2] & s_Truths6[3]), copy = t;
|
|
// word r, t = 0xABCDABCDABCDABCD, copy = t;
|
|
// word r, t = 0x6996000000006996, copy = t;
|
|
// word Cost = Abc_IsopNew( &t, &t, &r, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
word Cost = Abc_EsopCheck( &t, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
printf( "Cubes = %d. Lits = %d.\n", Abc_CostCubes(Cost), Abc_CostLits(Cost) );
|
|
Abc_IsopPrintCover( vCover, nVars, 0 );
|
|
Abc_IsopVerify( ©, nVars, &r, vCover, 1, 0 );
|
|
Vec_IntFree( vCover );
|
|
}
|
|
|
|
/**Function*************************************************************
|
|
|
|
Synopsis [Compute CNF assuming it does not exceed the limit.]
|
|
|
|
Description [Please note that pCover should have at least 32 extra entries!]
|
|
|
|
SideEffects []
|
|
|
|
SeeAlso []
|
|
|
|
***********************************************************************/
|
|
int Abc_IsopTest( word * pFunc, int nVars, Vec_Int_t * vCover )
|
|
{
|
|
int fVerbose = 0;
|
|
static word TotalCost[6] = {0};
|
|
static abctime TotalTime[6] = {0};
|
|
static int Counter;
|
|
word pRes[ABC_ISOP_MAX_WORD];
|
|
word Cost;
|
|
abctime clk;
|
|
Counter++;
|
|
if ( Counter == 9999 )
|
|
{
|
|
Abc_PrintTime( 1, "0", TotalTime[0] );
|
|
Abc_PrintTime( 1, "1", TotalTime[1] );
|
|
Abc_PrintTime( 1, "2", TotalTime[2] );
|
|
Abc_PrintTime( 1, "3", TotalTime[3] );
|
|
Abc_PrintTime( 1, "4", TotalTime[4] );
|
|
Abc_PrintTime( 1, "5", TotalTime[5] );
|
|
}
|
|
assert( nVars <= ABC_ISOP_MAX_VAR );
|
|
// if ( fVerbose )
|
|
// Dau_DsdPrintFromTruth( pFunc, nVars ), printf( " " );
|
|
|
|
clk = Abc_Clock();
|
|
Cost = Abc_IsopCheck( pFunc, pFunc, pRes, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
if ( fVerbose )
|
|
printf( "%5d %7d ", Abc_CostCubes(Cost), Abc_CostLits(Cost) );
|
|
// Abc_IsopVerify( pFunc, nVars, pRes, vCover, 0, 0 );
|
|
TotalCost[0] += Abc_CostCubes(Cost);
|
|
TotalTime[0] += Abc_Clock() - clk;
|
|
|
|
|
|
clk = Abc_Clock();
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
Cost = Abc_IsopCheck( pFunc, pFunc, pRes, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
if ( fVerbose )
|
|
printf( "%5d %7d ", Abc_CostCubes(Cost), Abc_CostLits(Cost) );
|
|
// Abc_IsopVerify( pFunc, nVars, pRes, vCover, 0, 1 );
|
|
TotalCost[1] += Abc_CostCubes(Cost);
|
|
TotalTime[1] += Abc_Clock() - clk;
|
|
|
|
/*
|
|
clk = Abc_Clock();
|
|
Cost = Abc_EsopCheck( pFunc, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
if ( fVerbose )
|
|
printf( "%5d %7d ", Abc_CostCubes(Cost), Abc_CostLits(Cost) );
|
|
// Abc_IsopVerify( pFunc, nVars, pRes, vCover, 1, 0 );
|
|
TotalCost[2] += Abc_CostCubes(Cost);
|
|
TotalTime[2] += Abc_Clock() - clk;
|
|
|
|
|
|
clk = Abc_Clock();
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
Cost = Abc_EsopCheck( pFunc, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
Abc_TtNot( pFunc, Abc_TtWordNum(nVars) );
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
if ( fVerbose )
|
|
printf( "%5d %7d ", Abc_CostCubes(Cost), Abc_CostLits(Cost) );
|
|
// Abc_IsopVerify( pFunc, nVars, pRes, vCover, 1, 1 );
|
|
TotalCost[3] += Abc_CostCubes(Cost);
|
|
TotalTime[3] += Abc_Clock() - clk;
|
|
*/
|
|
|
|
/*
|
|
// try new computation
|
|
clk = Abc_Clock();
|
|
Cost = Abc_IsopNew( pFunc, pFunc, pRes, nVars, Abc_Cube2Cost(ABC_ISOP_MAX_CUBE), Vec_IntArray(vCover) );
|
|
vCover->nSize = Abc_CostCubes(Cost);
|
|
assert( vCover->nSize <= vCover->nCap );
|
|
if ( fVerbose )
|
|
printf( "%5d %7d ", Abc_CostCubes(Cost), Abc_CostLits(Cost) );
|
|
Abc_IsopVerify( pFunc, nVars, pRes, vCover, 0, 0 );
|
|
TotalCost[4] += Abc_CostCubes(Cost);
|
|
TotalTime[4] += Abc_Clock() - clk;
|
|
*/
|
|
/*
|
|
// try old computation
|
|
clk = Abc_Clock();
|
|
Cost = Kit_TruthIsop( (unsigned *)pFunc, nVars, vCover, 1 );
|
|
vCover->nSize = Vec_IntSize(vCover);
|
|
assert( vCover->nSize <= vCover->nCap );
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if ( fVerbose )
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printf( "%5d %7d ", Vec_IntSize(vCover), Abc_IsopCountLits(vCover, nVars) );
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TotalCost[4] += Vec_IntSize(vCover);
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TotalTime[4] += Abc_Clock() - clk;
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*/
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clk = Abc_Clock();
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Cost = Abc_Isop( pFunc, nVars, ABC_ISOP_MAX_CUBE, vCover, 1 );
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if ( fVerbose )
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|
printf( "%5d %7d ", Vec_IntSize(vCover), Abc_IsopCountLits(vCover, nVars) );
|
|
TotalCost[5] += Vec_IntSize(vCover);
|
|
TotalTime[5] += Abc_Clock() - clk;
|
|
|
|
if ( fVerbose )
|
|
printf( " | %8d %8d %8d %8d %8d %8d", (int)TotalCost[0], (int)TotalCost[1], (int)TotalCost[2], (int)TotalCost[3], (int)TotalCost[4], (int)TotalCost[5] );
|
|
if ( fVerbose )
|
|
printf( "\n" );
|
|
//Abc_IsopPrintCover( vCover, nVars, 0 );
|
|
return 1;
|
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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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