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-rw-r--r--src/opt/kit/kitTruth.c194
1 files changed, 184 insertions, 10 deletions
diff --git a/src/opt/kit/kitTruth.c b/src/opt/kit/kitTruth.c
index 5ac85524..62d4cf14 100644
--- a/src/opt/kit/kitTruth.c
+++ b/src/opt/kit/kitTruth.c
@@ -168,7 +168,7 @@ void Kit_TruthSwapAdjacentVars2( unsigned * pIn, unsigned * pOut, int nVars, int
SeeAlso []
***********************************************************************/
-void Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase )
+void Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn )
{
unsigned * pTemp;
int i, k, Var = nVars - 1, Counter = 0;
@@ -185,7 +185,7 @@ void Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll,
}
assert( Var == -1 );
// swap if it was moved an even number of times
- if ( !(Counter & 1) )
+ if ( fReturnIn ^ !(Counter & 1) )
Kit_TruthCopy( pOut, pIn, nVarsAll );
}
@@ -202,7 +202,7 @@ void Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll,
SeeAlso []
***********************************************************************/
-void Kit_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase )
+void Kit_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn )
{
unsigned * pTemp;
int i, k, Var = 0, Counter = 0;
@@ -219,7 +219,7 @@ void Kit_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll,
}
assert( Var == nVars );
// swap if it was moved an even number of times
- if ( !(Counter & 1) )
+ if ( fReturnIn ^ !(Counter & 1) )
Kit_TruthCopy( pOut, pIn, nVarsAll );
}
@@ -1080,6 +1080,28 @@ void Kit_TruthCountOnesInCofs( unsigned * pTruth, int nVars, short * pStore )
}
}
+/**Function*************************************************************
+
+ Synopsis [Counts the number of 1's in each cofactor.]
+
+ Description [Verifies the above procedure.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCountOnesInCofsSlow( unsigned * pTruth, int nVars, short * pStore, unsigned * pAux )
+{
+ int i;
+ for ( i = 0; i < nVars; i++ )
+ {
+ Kit_TruthCofactor0New( pAux, pTruth, nVars, i );
+ pStore[2*i+0] = Kit_TruthCountOnes( pAux, nVars ) / 2;
+ Kit_TruthCofactor1New( pAux, pTruth, nVars, i );
+ pStore[2*i+1] = Kit_TruthCountOnes( pAux, nVars ) / 2;
+ }
+}
/**Function*************************************************************
@@ -1191,6 +1213,7 @@ unsigned Kit_TruthHash( unsigned * pIn, int nWords )
***********************************************************************/
unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars, char * pCanonPerm, short * pStore )
{
+// short pStore2[32];
unsigned * pIn = pInOut, * pOut = pAux, * pTemp;
int nWords = Kit_TruthWordNum( nVars );
int i, Temp, fChange, Counter, nOnes;//, k, j, w, Limit;
@@ -1198,20 +1221,26 @@ unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars,
// canonicize output
uCanonPhase = 0;
+/*
nOnes = Kit_TruthCountOnes(pIn, nVars);
- if ( (nOnes > nWords * 16) || ((nOnes == nWords * 16) && (pIn[0] & 1)) )
+ if ( (nOnes > nWords * 16) )//|| ((nOnes == nWords * 16) && (pIn[0] & 1)) )
{
uCanonPhase |= (1 << nVars);
Kit_TruthNot( pIn, pIn, nVars );
}
-
+*/
// collect the minterm counts
Kit_TruthCountOnesInCofs( pIn, nVars, pStore );
+// Kit_TruthCountOnesInCofsSlow( pIn, nVars, pStore2, pAux );
+// for ( i = 0; i < 2*nVars; i++ )
+// {
+// assert( pStore[i] == pStore2[i] );
+// }
// canonicize phase
for ( i = 0; i < nVars; i++ )
{
- if ( pStore[2*i+0] <= pStore[2*i+1] )
+ if ( pStore[2*i+0] >= pStore[2*i+1] )
continue;
uCanonPhase |= (1 << i);
Temp = pStore[2*i+0];
@@ -1229,7 +1258,7 @@ unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars,
fChange = 0;
for ( i = 0; i < nVars-1; i++ )
{
- if ( pStore[2*i] <= pStore[2*(i+1)] )
+ if ( pStore[2*i] >= pStore[2*(i+1)] )
continue;
Counter++;
fChange = 1;
@@ -1246,17 +1275,24 @@ unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars,
pStore[2*i+1] = pStore[2*(i+1)+1];
pStore[2*(i+1)+1] = Temp;
+ // if the polarity of variables is different, swap them
+ if ( ((uCanonPhase & (1 << i)) > 0) != ((uCanonPhase & (1 << (i+1))) > 0) )
+ {
+ uCanonPhase ^= (1 << i);
+ uCanonPhase ^= (1 << (i+1));
+ }
+
Kit_TruthSwapAdjacentVars( pOut, pIn, nVars, i );
pTemp = pIn; pIn = pOut; pOut = pTemp;
}
} while ( fChange );
/*
- Kit_PrintBinary( stdout, &uCanonPhase, nVars+1 ); printf( " : " );
+ Extra_PrintBinary( stdout, &uCanonPhase, nVars+1 ); printf( " : " );
for ( i = 0; i < nVars; i++ )
printf( "%d=%d/%d ", pCanonPerm[i], pStore[2*i], pStore[2*i+1] );
printf( " C = %d\n", Counter );
- Kit_PrintHexadecimal( stdout, pIn, nVars );
+ Extra_PrintHexadecimal( stdout, pIn, nVars );
printf( "\n" );
*/
@@ -1337,6 +1373,144 @@ unsigned Kit_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars,
return uCanonPhase;
}
+
+/**Function*************************************************************
+
+ Synopsis [Fast counting minterms in the cofactors of a function.]
+
+ Description [Returns the total number of minterms in the function.
+ The resulting array (pRes) contains the number of minterms in 0-cofactor
+ w.r.t. each variables. The additional array (pBytes) is used for internal
+ storage. It should have the size equal to the number of truth table bytes.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Kit_TruthCountMinterms( unsigned * pTruth, int nVars, int * pRes, int * pBytes )
+{
+ // the number of 1s if every byte as well as in the 0-cofactors w.r.t. three variables
+ static unsigned Table[256] = {
+ 0x00000000, 0x01010101, 0x01010001, 0x02020102, 0x01000101, 0x02010202, 0x02010102, 0x03020203,
+ 0x01000001, 0x02010102, 0x02010002, 0x03020103, 0x02000102, 0x03010203, 0x03010103, 0x04020204,
+ 0x00010101, 0x01020202, 0x01020102, 0x02030203, 0x01010202, 0x02020303, 0x02020203, 0x03030304,
+ 0x01010102, 0x02020203, 0x02020103, 0x03030204, 0x02010203, 0x03020304, 0x03020204, 0x04030305,
+ 0x00010001, 0x01020102, 0x01020002, 0x02030103, 0x01010102, 0x02020203, 0x02020103, 0x03030204,
+ 0x01010002, 0x02020103, 0x02020003, 0x03030104, 0x02010103, 0x03020204, 0x03020104, 0x04030205,
+ 0x00020102, 0x01030203, 0x01030103, 0x02040204, 0x01020203, 0x02030304, 0x02030204, 0x03040305,
+ 0x01020103, 0x02030204, 0x02030104, 0x03040205, 0x02020204, 0x03030305, 0x03030205, 0x04040306,
+ 0x00000101, 0x01010202, 0x01010102, 0x02020203, 0x01000202, 0x02010303, 0x02010203, 0x03020304,
+ 0x01000102, 0x02010203, 0x02010103, 0x03020204, 0x02000203, 0x03010304, 0x03010204, 0x04020305,
+ 0x00010202, 0x01020303, 0x01020203, 0x02030304, 0x01010303, 0x02020404, 0x02020304, 0x03030405,
+ 0x01010203, 0x02020304, 0x02020204, 0x03030305, 0x02010304, 0x03020405, 0x03020305, 0x04030406,
+ 0x00010102, 0x01020203, 0x01020103, 0x02030204, 0x01010203, 0x02020304, 0x02020204, 0x03030305,
+ 0x01010103, 0x02020204, 0x02020104, 0x03030205, 0x02010204, 0x03020305, 0x03020205, 0x04030306,
+ 0x00020203, 0x01030304, 0x01030204, 0x02040305, 0x01020304, 0x02030405, 0x02030305, 0x03040406,
+ 0x01020204, 0x02030305, 0x02030205, 0x03040306, 0x02020305, 0x03030406, 0x03030306, 0x04040407,
+ 0x00000001, 0x01010102, 0x01010002, 0x02020103, 0x01000102, 0x02010203, 0x02010103, 0x03020204,
+ 0x01000002, 0x02010103, 0x02010003, 0x03020104, 0x02000103, 0x03010204, 0x03010104, 0x04020205,
+ 0x00010102, 0x01020203, 0x01020103, 0x02030204, 0x01010203, 0x02020304, 0x02020204, 0x03030305,
+ 0x01010103, 0x02020204, 0x02020104, 0x03030205, 0x02010204, 0x03020305, 0x03020205, 0x04030306,
+ 0x00010002, 0x01020103, 0x01020003, 0x02030104, 0x01010103, 0x02020204, 0x02020104, 0x03030205,
+ 0x01010003, 0x02020104, 0x02020004, 0x03030105, 0x02010104, 0x03020205, 0x03020105, 0x04030206,
+ 0x00020103, 0x01030204, 0x01030104, 0x02040205, 0x01020204, 0x02030305, 0x02030205, 0x03040306,
+ 0x01020104, 0x02030205, 0x02030105, 0x03040206, 0x02020205, 0x03030306, 0x03030206, 0x04040307,
+ 0x00000102, 0x01010203, 0x01010103, 0x02020204, 0x01000203, 0x02010304, 0x02010204, 0x03020305,
+ 0x01000103, 0x02010204, 0x02010104, 0x03020205, 0x02000204, 0x03010305, 0x03010205, 0x04020306,
+ 0x00010203, 0x01020304, 0x01020204, 0x02030305, 0x01010304, 0x02020405, 0x02020305, 0x03030406,
+ 0x01010204, 0x02020305, 0x02020205, 0x03030306, 0x02010305, 0x03020406, 0x03020306, 0x04030407,
+ 0x00010103, 0x01020204, 0x01020104, 0x02030205, 0x01010204, 0x02020305, 0x02020205, 0x03030306,
+ 0x01010104, 0x02020205, 0x02020105, 0x03030206, 0x02010205, 0x03020306, 0x03020206, 0x04030307,
+ 0x00020204, 0x01030305, 0x01030205, 0x02040306, 0x01020305, 0x02030406, 0x02030306, 0x03040407,
+ 0x01020205, 0x02030306, 0x02030206, 0x03040307, 0x02020306, 0x03030407, 0x03030307, 0x04040408
+ };
+ unsigned uSum;
+ unsigned char * pTruthC, * pLimit;
+ int i, iVar, Step, nWords, nBytes, nTotal;
+
+ assert( nVars <= 20 );
+
+ // clear storage
+ memset( pRes, 0, sizeof(int) * nVars );
+
+ // count the number of one's in 0-cofactors of the first three variables
+ nTotal = uSum = 0;
+ nWords = Kit_TruthWordNum( nVars );
+ nBytes = nWords * 4;
+ pTruthC = (unsigned char *)pTruth;
+ pLimit = pTruthC + nBytes;
+ for ( ; pTruthC < pLimit; pTruthC++ )
+ {
+ uSum += Table[*pTruthC];
+ *pBytes++ = (Table[*pTruthC] & 0xff);
+ if ( (uSum & 0xff) > 246 )
+ {
+ nTotal += (uSum & 0xff);
+ pRes[0] += ((uSum >> 8) & 0xff);
+ pRes[2] += ((uSum >> 16) & 0xff);
+ pRes[3] += ((uSum >> 24) & 0xff);
+ uSum = 0;
+ }
+ }
+ if ( uSum )
+ {
+ nTotal += (uSum & 0xff);
+ pRes[0] += ((uSum >> 8) & 0xff);
+ pRes[1] += ((uSum >> 16) & 0xff);
+ pRes[2] += ((uSum >> 24) & 0xff);
+ }
+
+ // count all other variables
+ for ( iVar = 3, Step = 1; Step < nBytes; Step *= 2, iVar++ )
+ for ( i = 0; i < nBytes; i += Step + Step )
+ {
+ pRes[iVar] += pBytes[i];
+ pBytes[i] += pBytes[i+Step];
+ }
+ assert( pBytes[0] == nTotal );
+ assert( iVar == nVars );
+ return nTotal;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Fast counting minterms for the functions.]
+
+ Description [Returns 0 if the function is a constant.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Kit_TruthCountMintermsPrecomp()
+{
+ int bit_count[256] = {
+ 0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
+ 3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8
+ };
+ unsigned i, uWord;
+ for ( i = 0; i < 256; i++ )
+ {
+ if ( i % 8 == 0 )
+ printf( "\n" );
+ uWord = bit_count[i];
+ uWord |= (bit_count[i & 0x55] << 8);
+ uWord |= (bit_count[i & 0x33] << 16);
+ uWord |= (bit_count[i & 0x0f] << 24);
+ printf( "0x" );
+ Extra_PrintHexadecimal( stdout, &uWord, 5 );
+ printf( ", " );
+ }
+}
+
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////