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authorAlan Mishchenko <alanmi@berkeley.edu>2017-10-11 18:07:35 +0700
committerAlan Mishchenko <alanmi@berkeley.edu>2017-10-11 18:07:35 +0700
commit711ea3dfecc62cba9035a7e655dec4e4119420f0 (patch)
treecbaaa685513148d602dd594743cd74edd8c4f4ff /src/sat/bmc/bmcMaj.c
parentf97b8d2882bc69d37e6559a12b9e31a988a7eb97 (diff)
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Another variation on exact synthesis.
Diffstat (limited to 'src/sat/bmc/bmcMaj.c')
-rw-r--r--src/sat/bmc/bmcMaj.c354
1 files changed, 354 insertions, 0 deletions
diff --git a/src/sat/bmc/bmcMaj.c b/src/sat/bmc/bmcMaj.c
index 31460b0e..59ebbae5 100644
--- a/src/sat/bmc/bmcMaj.c
+++ b/src/sat/bmc/bmcMaj.c
@@ -381,6 +381,360 @@ void Maj_ManExactSynthesis( int nVars, int nNodes, int fUseConst, int fUseLine,
Abc_PrintTime( 1, "Total runtime", Abc_Clock() - clkTotal );
}
+
+
+
+
+
+
+
+typedef struct Exa_Man_t_ Exa_Man_t;
+struct Exa_Man_t_
+{
+ int nVars; // inputs
+ int nNodes; // internal nodes
+ int nObjs; // total objects (nVars inputs + nNodes internal nodes)
+ int nWords; // the truth table size in 64-bit words
+ int iVar; // the next available SAT variable
+ word * pTruth; // truth table
+ Vec_Wrd_t * vInfo; // nVars + nNodes + 1
+ int VarMarks[MAJ_NOBJS][2][MAJ_NOBJS]; // variable marks
+ int VarVals[MAJ_NOBJS]; // values of the first nVars variables
+ Vec_Wec_t * vOutLits; // output vars
+ bmcg_sat_solver * pSat; // SAT solver
+};
+
+static inline word * Exa_ManTruth( Exa_Man_t * p, int v ) { return Vec_WrdEntryP( p->vInfo, p->nWords * v ); }
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Wrd_t * Exa_ManTruthTables( Exa_Man_t * p )
+{
+ Vec_Wrd_t * vInfo = p->vInfo = Vec_WrdStart( p->nWords * (p->nObjs+1) ); int i;
+ for ( i = 0; i < p->nVars; i++ )
+ Abc_TtIthVar( Exa_ManTruth(p, i), i, p->nVars );
+ //Dau_DsdPrintFromTruth( Exa_ManTruth(p, p->nObjs), p->nVars );
+ return vInfo;
+}
+int Exa_ManMarkup( Exa_Man_t * p )
+{
+ int i, k, j;
+ assert( p->nObjs <= MAJ_NOBJS );
+ // assign variables for truth tables
+ p->iVar = 1 + p->nNodes * 3;
+ // assign variables for other nodes
+ for ( i = p->nVars; i < p->nObjs; i++ )
+ {
+ for ( k = 0; k < 2; k++ )
+ {
+ for ( j = 0; j < i - k; j++ )
+ {
+ Vec_WecPush( p->vOutLits, j, Abc_Var2Lit(p->iVar, 0) );
+ p->VarMarks[i][k][j] = p->iVar++;
+ }
+ }
+ }
+ //printf( "The number of parameter variables = %d.\n", p->iVar );
+ return p->iVar;
+ // printout
+ for ( i = p->nVars; i < p->nObjs; i++ )
+ {
+ printf( "Node %d\n", i );
+ for ( j = 0; j < p->nObjs; j++ )
+ {
+ for ( k = 0; k < 2; k++ )
+ printf( "%3d ", p->VarMarks[i][k][j] );
+ printf( "\n" );
+ }
+ }
+ return p->iVar;
+}
+Exa_Man_t * Exa_ManAlloc( int nVars, int nNodes, word * pTruth )
+{
+ Exa_Man_t * p = ABC_CALLOC( Exa_Man_t, 1 );
+ p->nVars = nVars;
+ p->nNodes = nNodes;
+ p->nObjs = nVars + nNodes;
+ p->nWords = Abc_TtWordNum(nVars);
+ p->pTruth = pTruth;
+ p->vOutLits = Vec_WecStart( p->nObjs );
+ p->iVar = Exa_ManMarkup( p );
+ p->vInfo = Exa_ManTruthTables( p );
+ p->pSat = bmcg_sat_solver_start();
+ bmcg_sat_solver_set_nvars( p->pSat, p->iVar );
+ return p;
+}
+void Exa_ManFree( Exa_Man_t * p )
+{
+ bmcg_sat_solver_stop( p->pSat );
+ Vec_WrdFree( p->vInfo );
+ Vec_WecFree( p->vOutLits );
+ ABC_FREE( p );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Exa_ManFindFanin( Exa_Man_t * p, int i, int k )
+{
+ int j, Count = 0, iVar = -1;
+ for ( j = 0; j < p->nObjs; j++ )
+ if ( p->VarMarks[i][k][j] && bmcg_sat_solver_read_cex_varvalue(p->pSat, p->VarMarks[i][k][j]) )
+ {
+ iVar = j;
+ Count++;
+ }
+ assert( Count == 1 );
+ return iVar;
+}
+static inline int Exa_ManEval( Exa_Man_t * p )
+{
+ static int Flag = 0;
+ int i, k, iMint; word * pFanins[2];
+ for ( i = p->nVars; i < p->nObjs; i++ )
+ {
+ int iVarStart = 1 + 3*(i - p->nVars);
+ for ( k = 0; k < 2; k++ )
+ pFanins[k] = Exa_ManTruth( p, Exa_ManFindFanin(p, i, k) );
+ Abc_TtConst0( Exa_ManTruth(p, i), p->nWords );
+ for ( k = 1; k < 4; k++ )
+ {
+ if ( !bmcg_sat_solver_read_cex_varvalue(p->pSat, iVarStart+k-1) )
+ continue;
+ Abc_TtAndCompl( Exa_ManTruth(p, p->nObjs), pFanins[0], !(k&1), pFanins[1], !(k>>1), p->nWords );
+ Abc_TtOr( Exa_ManTruth(p, i), Exa_ManTruth(p, i), Exa_ManTruth(p, p->nObjs), p->nWords );
+ }
+ }
+ if ( Flag && p->nVars >= 6 )
+ iMint = Abc_TtFindLastDiffBit( Exa_ManTruth(p, p->nObjs-1), p->pTruth, p->nVars );
+ else
+ iMint = Abc_TtFindFirstDiffBit( Exa_ManTruth(p, p->nObjs-1), p->pTruth, p->nVars );
+ //Flag ^= 1;
+ assert( iMint < (1 << p->nVars) );
+ return iMint;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Exa_ManPrintSolution( Exa_Man_t * p, int fCompl )
+{
+ int i, k, iVar;
+ printf( "Realization of given %d-input function using %d two-input gates:\n", p->nVars, p->nNodes );
+// for ( i = p->nVars + 2; i < p->nObjs; i++ )
+ for ( i = p->nObjs - 1; i >= p->nVars; i-- )
+ {
+ int iVarStart = 1 + 3*(i - p->nVars);
+ int Val1 = bmcg_sat_solver_read_cex_varvalue(p->pSat, iVarStart);
+ int Val2 = bmcg_sat_solver_read_cex_varvalue(p->pSat, iVarStart+1);
+ int Val3 = bmcg_sat_solver_read_cex_varvalue(p->pSat, iVarStart+2);
+ if ( i == p->nObjs - 1 && fCompl )
+ printf( "%02d = 4\'b%d%d%d1(", i, !Val3, !Val2, !Val1 );
+ else
+ printf( "%02d = 4\'b%d%d%d0(", i, Val3, Val2, Val1 );
+ for ( k = 1; k >= 0; k-- )
+ {
+ iVar = Exa_ManFindFanin( p, i, k );
+ if ( iVar >= 0 && iVar < p->nVars )
+ printf( " %c", 'a'+iVar );
+ else
+ printf( " %02d", iVar );
+ }
+ printf( " )\n" );
+ }
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Exa_ManAddCnfStart( Exa_Man_t * p )
+{
+ int pLits[MAJ_NOBJS], pLits2[2], i, j, k, n, m;
+ // input constraints
+ for ( i = p->nVars; i < p->nObjs; i++ )
+ {
+ int iVarStart = 1 + 3*(i - p->nVars);
+ for ( k = 0; k < 2; k++ )
+ {
+ int nLits = 0;
+ for ( j = 0; j < p->nObjs; j++ )
+ if ( p->VarMarks[i][k][j] )
+ pLits[nLits++] = Abc_Var2Lit( p->VarMarks[i][k][j], 0 );
+ assert( nLits > 0 );
+ // input uniqueness
+ if ( !bmcg_sat_solver_addclause( p->pSat, pLits, nLits ) )
+ return 0;
+ for ( n = 0; n < nLits; n++ )
+ for ( m = n+1; m < nLits; m++ )
+ {
+ pLits2[0] = Abc_LitNot(pLits[n]);
+ pLits2[1] = Abc_LitNot(pLits[m]);
+ if ( !bmcg_sat_solver_addclause( p->pSat, pLits2, 2 ) )
+ return 0;
+ }
+ if ( k == 1 )
+ break;
+ // symmetry breaking
+ for ( j = 0; j < p->nObjs; j++ ) if ( p->VarMarks[i][k][j] )
+ for ( n = j; n < p->nObjs; n++ ) if ( p->VarMarks[i][k+1][n] )
+ {
+ pLits2[0] = Abc_Var2Lit( p->VarMarks[i][k][j], 1 );
+ pLits2[1] = Abc_Var2Lit( p->VarMarks[i][k+1][n], 1 );
+ if ( !bmcg_sat_solver_addclause( p->pSat, pLits2, 2 ) )
+ return 0;
+ }
+ }
+ // two input functions
+ for ( k = 0; k < 3; k++ )
+ {
+ pLits[0] = Abc_Var2Lit( iVarStart, k==1 );
+ pLits[1] = Abc_Var2Lit( iVarStart+1, k==2 );
+ pLits[2] = Abc_Var2Lit( iVarStart+2, k!=0 );
+ if ( !bmcg_sat_solver_addclause( p->pSat, pLits, 3 ) )
+ return 0;
+ }
+ }
+ // outputs should be used
+ for ( i = 0; i < p->nObjs - 1; i++ )
+ {
+ Vec_Int_t * vArray = Vec_WecEntry(p->vOutLits, i);
+ assert( Vec_IntSize(vArray) > 0 );
+ if ( !bmcg_sat_solver_addclause( p->pSat, Vec_IntArray(vArray), Vec_IntSize(vArray) ) )
+ return 0;
+ }
+ return 1;
+}
+int Exa_ManAddCnf( Exa_Man_t * p, int iMint )
+{
+ // save minterm values
+ int i, k, n, j, Value = Abc_TtGetBit(p->pTruth, iMint);
+ for ( i = 0; i < p->nVars; i++ )
+ p->VarVals[i] = (iMint >> i) & 1;
+ bmcg_sat_solver_set_nvars( p->pSat, p->iVar + 3*p->nNodes );
+ //printf( "Adding clauses for minterm %d with value %d.\n", iMint, Value );
+ for ( i = p->nVars; i < p->nObjs; i++ )
+ {
+ // fanin connectivity
+ int iVarStart = 1 + 3*(i - p->nVars);
+ int iBaseSatVarI = p->iVar + 3*(i - p->nVars);
+ for ( k = 0; k < 2; k++ )
+ {
+ for ( j = 0; j < p->nObjs; j++ ) if ( p->VarMarks[i][k][j] )
+ {
+ int iBaseSatVarJ = p->iVar + 3*(j - p->nVars);
+ for ( n = 0; n < 2; n++ )
+ {
+ int pLits[3], nLits = 0;
+ pLits[nLits++] = Abc_Var2Lit( p->VarMarks[i][k][j], 1 );
+ pLits[nLits++] = Abc_Var2Lit( iBaseSatVarI + k, n );
+ if ( j >= p->nVars )
+ pLits[nLits++] = Abc_Var2Lit( iBaseSatVarJ + 2, !n );
+ else if ( p->VarVals[j] == n )
+ continue;
+ if ( !bmcg_sat_solver_addclause( p->pSat, pLits, nLits ) )
+ return 0;
+ }
+ }
+ }
+ // node functionality
+ for ( n = 0; n < 2; n++ )
+ {
+ if ( i == p->nObjs - 1 && n == Value )
+ continue;
+ for ( k = 0; k < 4; k++ )
+ {
+ int pLits[4], nLits = 0;
+ if ( k == 0 && n == 1 )
+ continue;
+ pLits[nLits++] = Abc_Var2Lit( iBaseSatVarI + 0, (k&1) );
+ pLits[nLits++] = Abc_Var2Lit( iBaseSatVarI + 1, (k>>1) );
+ if ( i != p->nObjs - 1 ) pLits[nLits++] = Abc_Var2Lit( iBaseSatVarI + 2, !n );
+ if ( k > 0 ) pLits[nLits++] = Abc_Var2Lit( iVarStart + k-1, n );
+ assert( nLits <= 4 );
+ if ( !bmcg_sat_solver_addclause( p->pSat, pLits, nLits ) )
+ return 0;
+ }
+ }
+ }
+ p->iVar += 3*p->nNodes;
+ return 1;
+}
+void Exa_ManExactSynthesis( char * pTtStr, int nVars, int nNodes, int fVerbose )
+{
+ int i, status, iMint = 1;
+ abctime clkTotal = Abc_Clock();
+ Exa_Man_t * p; int fCompl = 0;
+ word pTruth[16]; Abc_TtReadHex( pTruth, pTtStr );
+ assert( nVars <= 10 );
+ p = Exa_ManAlloc( nVars, nNodes, pTruth );
+ if ( pTruth[0] & 1 ) { fCompl = 1; Abc_TtNot( pTruth, p->nWords ); }
+ status = Exa_ManAddCnfStart( p );
+ assert( status );
+ printf( "Running exact synthesis for %d-input function with %d two-input gates...\n", p->nVars, p->nNodes );
+ for ( i = 0; iMint != -1; i++ )
+ {
+ abctime clk = Abc_Clock();
+ if ( !Exa_ManAddCnf( p, iMint ) )
+ break;
+ status = bmcg_sat_solver_solve( p->pSat, NULL, 0 );
+ if ( fVerbose )
+ {
+ printf( "Iter %3d : ", i );
+ Extra_PrintBinary( stdout, (unsigned *)&iMint, p->nVars );
+ printf( " Var =%5d ", p->iVar );
+ printf( "Cla =%6d ", bmcg_sat_solver_clausenum(p->pSat) );
+ printf( "Conf =%9d ", bmcg_sat_solver_conflictnum(p->pSat) );
+ Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
+ }
+ if ( status == GLUCOSE_UNSAT )
+ {
+ printf( "The problem has no solution.\n" );
+ break;
+ }
+ iMint = Exa_ManEval( p );
+ }
+ if ( iMint == -1 )
+ Exa_ManPrintSolution( p, fCompl );
+ Exa_ManFree( p );
+ Abc_PrintTime( 1, "Total runtime", Abc_Clock() - clkTotal );
+}
+
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////