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authorAlan Mishchenko <alanmi@berkeley.edu>2012-10-29 23:27:41 -0700
committerAlan Mishchenko <alanmi@berkeley.edu>2012-10-29 23:27:41 -0700
commitc3298ec22521bbc92326b2f3b996c13782df8f6a (patch)
treecdfec2bfe7a58a7bb3c624c76d8d56f0d3f406ee /src
parent90529df0592ed261a4c6685ffeb41ac6abf6e422 (diff)
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Improvements to the truth table computation in 'if' package.
Diffstat (limited to 'src')
-rw-r--r--src/misc/util/utilTruth.h107
-rw-r--r--src/opt/dau/dauDsd.c339
2 files changed, 442 insertions, 4 deletions
diff --git a/src/misc/util/utilTruth.h b/src/misc/util/utilTruth.h
index 8ec4a513..6bfb5699 100644
--- a/src/misc/util/utilTruth.h
+++ b/src/misc/util/utilTruth.h
@@ -115,7 +115,7 @@ static inline int Abc_TtSuppIsMinBase( int Supp )
}
static inline int Abc_Tt6HasVar( word t, int iVar )
{
- return (t & ~s_Truths6[iVar]) != ((t & s_Truths6[iVar]) >> (1<<iVar));
+ return ((t << (1<<iVar)) & s_Truths6[iVar]) != (t & s_Truths6[iVar]);
}
static inline int Abc_TtHasVar( word * t, int nVars, int iVar )
{
@@ -125,14 +125,15 @@ static inline int Abc_TtHasVar( word * t, int nVars, int iVar )
{
int i, Shift = (1 << iVar);
for ( i = 0; i < nWords; i++ )
- if ( (t[i] & ~s_Truths6[iVar]) != ((t[i] & s_Truths6[iVar]) >> Shift) )
+ if ( ((t[i] << Shift) & s_Truths6[iVar]) != (t[i] & s_Truths6[iVar]) )
return 1;
return 0;
}
else
{
- int i, k, Step = (1 << (iVar - 6));
- for ( k = 0; k < nWords; k += 2*Step, t += 2*Step )
+ 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] != t[Step+i] )
return 1;
@@ -189,6 +190,103 @@ static inline int Abc_Tt6SupportAndSize( word t, int nVars, int * pSuppSize )
***********************************************************************/
static inline void Abc_TtSwapVars( word * pTruth, int nVars, int iVar, int jVar )
{
+ static word PPMasks[5][6][3] = {
+ {
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 0 0
+ { 0x9999999999999999, 0x2222222222222222, 0x4444444444444444 }, // 0 1
+ { 0xA5A5A5A5A5A5A5A5, 0x0A0A0A0A0A0A0A0A, 0x5050505050505050 }, // 0 2
+ { 0xAA55AA55AA55AA55, 0x00AA00AA00AA00AA, 0x5500550055005500 }, // 0 3
+ { 0xAAAA5555AAAA5555, 0x0000AAAA0000AAAA, 0x5555000055550000 }, // 0 4
+ { 0xAAAAAAAA55555555, 0x00000000AAAAAAAA, 0x5555555500000000 } // 0 5
+ },
+ {
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 1 0
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 1 1
+ { 0xC3C3C3C3C3C3C3C3, 0x0C0C0C0C0C0C0C0C, 0x3030303030303030 }, // 1 2
+ { 0xCC33CC33CC33CC33, 0x00CC00CC00CC00CC, 0x3300330033003300 }, // 1 3
+ { 0xCCCC3333CCCC3333, 0x0000CCCC0000CCCC, 0x3333000033330000 }, // 1 4
+ { 0xCCCCCCCC33333333, 0x00000000CCCCCCCC, 0x3333333300000000 } // 1 5
+ },
+ {
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 2 0
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 2 1
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 2 2
+ { 0xF00FF00FF00FF00F, 0x00F000F000F000F0, 0x0F000F000F000F00 }, // 2 3
+ { 0xF0F00F0FF0F00F0F, 0x0000F0F00000F0F0, 0x0F0F00000F0F0000 }, // 2 4
+ { 0xF0F0F0F00F0F0F0F, 0x00000000F0F0F0F0, 0x0F0F0F0F00000000 } // 2 5
+ },
+ {
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 3 0
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 3 1
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 3 2
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 3 3
+ { 0xFF0000FFFF0000FF, 0x0000FF000000FF00, 0x00FF000000FF0000 }, // 3 4
+ { 0xFF00FF0000FF00FF, 0x00000000FF00FF00, 0x00FF00FF00000000 } // 3 5
+ },
+ {
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 4 0
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 4 1
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 4 2
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 4 3
+ { 0x0000000000000000, 0x0000000000000000, 0x0000000000000000 }, // 4 4
+ { 0xFFFF00000000FFFF, 0x00000000FFFF0000, 0x0000FFFF00000000 } // 4 5
+ }
+ };
+ if ( iVar == jVar )
+ return;
+ if ( jVar < iVar )
+ ABC_SWAP( int, iVar, jVar );
+ assert( iVar < jVar && jVar < nVars );
+ if ( nVars <= 6 )
+ {
+ word * pMasks = PPMasks[iVar][jVar];
+ int shift = (1 << jVar) - (1 << iVar);
+ pTruth[0] = (pTruth[0] & pMasks[0]) | ((pTruth[0] & pMasks[1]) << shift) | ((pTruth[0] & pMasks[2]) >> shift);
+ }
+ else
+ {
+ if ( jVar <= 5 )
+ {
+ word * pMasks = PPMasks[iVar][jVar];
+ int nWords = Abc_TtWordNum(nVars);
+ int w, shift = (1 << jVar) - (1 << iVar);
+ for ( w = 0; w < nWords; w++ )
+ pTruth[w] = (pTruth[w] & pMasks[0]) | ((pTruth[w] & pMasks[1]) << shift) | ((pTruth[w] & pMasks[2]) >> shift);
+ }
+ else if ( iVar <= 5 && jVar > 5 )
+ {
+ word low2High, high2Low;
+ word * pLimit = pTruth + Abc_TtWordNum(nVars);
+ int j, jStep = Abc_TtWordNum(jVar);
+ int shift = 1 << iVar;
+ for ( ; pTruth < pLimit; pTruth += 2*jStep )
+ for ( j = 0; j < jStep; j++ )
+ {
+ low2High = (pTruth[j] & s_Truths6[iVar]) >> shift;
+ high2Low = (pTruth[j+jStep] << shift) & s_Truths6[iVar];
+ pTruth[j] = (pTruth[j] & ~s_Truths6[iVar]) | high2Low;
+ pTruth[j+jStep] = (pTruth[j+jStep] & s_Truths6[iVar]) | low2High;
+ }
+ }
+ else
+ {
+ word temp, * pLimit = pTruth + Abc_TtWordNum(nVars);
+ int i, iStep = Abc_TtWordNum(iVar);
+ int j, jStep = Abc_TtWordNum(jVar);
+ for ( ; pTruth < pLimit; pTruth += 2*jStep )
+ for ( i = 0; i < jStep; i += 2*iStep )
+ for ( j = 0; j < iStep; j++ )
+ {
+ temp = pTruth[iStep + i + j];
+ pTruth[iStep + i + j] = pTruth[jStep + i + j];
+ pTruth[jStep + i + j] = temp;
+ }
+ }
+ }
+}
+
+static inline void Abc_TtSwapVars_( word * pTruth, int nVars, int iVar, int jVar )
+{
static word PPMasks[6][6] = {
{ 0x2222222222222222, 0x0A0A0A0A0A0A0A0A, 0x00AA00AA00AA00AA, 0x0000AAAA0000AAAA, 0x00000000AAAAAAAA, 0xAAAAAAAAAAAAAAAA },
{ 0x0000000000000000, 0x0C0C0C0C0C0C0C0C, 0x00CC00CC00CC00CC, 0x0000CCCC0000CCCC, 0x00000000CCCCCCCC, 0xCCCCCCCCCCCCCCCC },
@@ -269,6 +367,7 @@ static inline void Abc_TtSwapVars( word * pTruth, int nVars, int iVar, int jVar
}
+
/**Function*************************************************************
Synopsis [Stretch truthtable to have more input variables.]
diff --git a/src/opt/dau/dauDsd.c b/src/opt/dau/dauDsd.c
index 262314d8..f6367304 100644
--- a/src/opt/dau/dauDsd.c
+++ b/src/opt/dau/dauDsd.c
@@ -19,6 +19,7 @@
***********************************************************************/
#include "dauInt.h"
+#include "misc/util/utilTruth.h"
ABC_NAMESPACE_IMPL_START
@@ -463,6 +464,344 @@ void Dau_DsdTestOne( word t, int i )
Dau_DsdTestOne( *p->pFuncs[i], i );
*/
+
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Abc_TtTruthIsConst0( word * p, int nWords ) { int w; for ( w = 0; w < nWords; w++ ) if ( p[w] != 0 ) return 0; return 1; }
+static inline int Abc_TtTruthIsConst1( word * p, int nWords ) { int w; for ( w = 0; w < nWords; w++ ) if ( p[w] != ~(word)0 ) return 0; return 1; }
+
+static inline int Abc_TtCof0IsConst0( word * t, int nWords, int iVar )
+{
+ if ( iVar < 6 )
+ {
+ int i;
+ for ( i = 0; i < nWords; i++ )
+ if ( t[i] & ~s_Truths6[iVar] )
+ 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] )
+ return 0;
+ return 1;
+ }
+}
+static inline int Abc_TtCof0IsConst1( word * t, int nWords, int iVar )
+{
+ if ( iVar < 6 )
+ {
+ int i;
+ for ( i = 0; i < nWords; i++ )
+ if ( (t[i] & ~s_Truths6[iVar]) != ~s_Truths6[iVar] )
+ 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] != ~(word)0 )
+ return 0;
+ return 1;
+ }
+}
+static inline int Abc_TtCof1IsConst0( word * t, int nWords, int iVar )
+{
+ if ( iVar < 6 )
+ {
+ int i;
+ for ( i = 0; i < nWords; i++ )
+ if ( t[i] & s_Truths6[iVar] )
+ 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+Step] )
+ return 0;
+ return 1;
+ }
+}
+static inline int Abc_TtCof1IsConst1( word * t, int nWords, int iVar )
+{
+ if ( iVar < 6 )
+ {
+ int i;
+ for ( i = 0; i < nWords; i++ )
+ if ( (t[i] & s_Truths6[iVar]) != s_Truths6[iVar] )
+ 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+Step] != ~(word)0 )
+ return 0;
+ return 1;
+ }
+}
+static inline int Abc_TtCofsOpposite( word * t, int nWords, int iVar )
+{
+ if ( iVar < 6 )
+ {
+ int i, Shift = (1 << iVar);
+ for ( i = 0; i < nWords; i++ )
+ if ( ((t[i] << Shift) & s_Truths6[iVar]) != (~t[i] & s_Truths6[iVar]) )
+ 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] != ~t[i+Step] )
+ return 0;
+ return 1;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+static inline int Abc_TtCof0HasVar( word * t, int nWords, int iVarI, int iVarJ )
+{
+ assert( iVarI > iVarJ );
+ if ( iVarI < 6 )
+ {
+ int i, Shift = (1 << iVarJ);
+ for ( i = 0; i < nWords; i++ )
+ if ( (((t[i] & ~s_Truths6[iVarI]) << Shift) & s_Truths6[iVarJ]) != ((t[i] & ~s_Truths6[iVarI]) & s_Truths6[iVarJ]) )
+ return 0;
+ return 1;
+ }
+ else if ( iVarI == 6 )
+ {
+ }
+ else
+ {
+ int i, Step = (1 << (iVarJ - 6));
+ word * tLimit = t + nWords;
+ for ( ; t < tLimit; t += 2*Step )
+ for ( i = 0; i < Step; i++ )
+ if ( t[i] != t[i+Step] )
+ return 0;
+ return 1;
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dau_DsdMinimize( word * p, int * pVars, int nVars )
+{
+ int i, k;
+ assert( nVars > 6 );
+ for ( i = k = nVars - 1; i >= 0; i-- )
+ {
+ if ( Abc_TtHasVar( p, nVars, i ) )
+ continue;
+ if ( i < k )
+ {
+ pVars[i] = pVars[k];
+ Abc_TtSwapVars( p, nVars, i, k );
+ }
+ k--;
+ nVars--;
+ }
+ return nVars;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dau_DsdRun6_rec( word * p, int * pVars, int nVars, char * pBuffer, int Pos, char pStore[16][16], int Func )
+{
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Dau_DsdRun_rec( word * p, int * pVars, int nVars, char * pBuffer, int Pos, char pStore[16][16], int Func )
+{
+ int v, nWords = Abc_TtWordNum( nVars );
+ nVars = Dau_DsdMinimize( p, pVars, nVars );
+ if ( nVars <= 6 )
+ return Dau_DsdRun6_rec( p, pVars, nVars, pBuffer, Pos, pStore, Func );
+ if ( p[0] & 1 )
+ {
+ // check for !(ax)
+ for ( v = 0; v < nVars; v++ )
+ if ( Abc_TtCof0IsConst0( p, nWords, v ) )
+ {
+ pBuffer[Pos++] = '(';
+ pBuffer[Pos++] = 'a' + pVars[v];
+ Abc_TtSwapVars( p, nVars, v, nVars - 1 );
+ pVars[v] = pVars[nVars-1];
+ Pos = Dau_DsdRun_rec( p + nWords/2, pVars, nVars-1, pBuffer, Pos, pStore, Func );
+ pBuffer[Pos++] = ')';
+ return Pos;
+ }
+ }
+ else
+ {
+ // check for ax
+ for ( v = 0; v < nVars; v++ )
+ if ( Abc_TtCof0IsConst1( p, nWords, v ) )
+ {
+ pBuffer[Pos++] = '!';
+ pBuffer[Pos++] = '(';
+ pBuffer[Pos++] = 'a' + pVars[v];
+ Abc_TtSwapVars( p, nVars, v, nVars - 1 );
+ pVars[v] = pVars[nVars-1];
+ Pos = Dau_DsdRun_rec( p + nWords/2, pVars, nVars-1, pBuffer, Pos, pStore, Func );
+ pBuffer[Pos++] = ')';
+ return Pos;
+ }
+ }
+ if ( (p[nWords-1] >> 63) & 1 )
+ {
+ // check for !(!ax)
+ for ( v = 0; v < nVars; v++ )
+ if ( Abc_TtCof0IsConst1( p, nWords, v ) )
+ {
+ pBuffer[Pos++] = '!';
+ pBuffer[Pos++] = '(';
+ pBuffer[Pos++] = '!';
+ pBuffer[Pos++] = 'a' + pVars[v];
+ Abc_TtSwapVars( p, nVars, v, nVars - 1 );
+ pVars[v] = pVars[nVars-1];
+ Pos = Dau_DsdRun_rec( p, pVars, nVars-1, pBuffer, Pos, pStore, Func );
+ pBuffer[Pos++] = ')';
+ return Pos;
+ }
+ }
+ else
+ {
+ // check for !ax
+ for ( v = 0; v < nVars; v++ )
+ if ( Abc_TtCof1IsConst0( p, nWords, v ) )
+ {
+ pBuffer[Pos++] = '(';
+ pBuffer[Pos++] = '!';
+ pBuffer[Pos++] = 'a' + pVars[v];
+ Abc_TtSwapVars( p, nVars, v, nVars - 1 );
+ pVars[v] = pVars[nVars-1];
+ Pos = Dau_DsdRun_rec( p, pVars, nVars-1, pBuffer, Pos, pStore, Func );
+ pBuffer[Pos++] = ')';
+ return Pos;
+ }
+ }
+ // check for a^x
+ for ( v = 0; v < nVars; v++ )
+ if ( Abc_TtCofsOpposite( p, nWords, v ) )
+ {
+ pBuffer[Pos++] = '[';
+ pBuffer[Pos++] = 'a' + pVars[v];
+ Abc_TtSwapVars( p, nVars, v, nVars - 1 );
+ pVars[v] = pVars[nVars-1];
+ Pos = Dau_DsdRun_rec( p, pVars, nVars-1, pBuffer, Pos, pStore, Func );
+ pBuffer[Pos++] = ']';
+ return Pos;
+ }
+
+ return 0;
+}
+
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+char * Dau_DsdRun( word * p, int nVars )
+{
+ static char pBuffer[DAU_MAX_STR+20];
+ static char pStore[16][16];
+ int nWords = Abc_TtWordNum( nVars );
+ int i, Pos = 0, Func = 0, pVars[16];
+ assert( nVars <= 16 );
+ for ( i = 0; i < nVars; i++ )
+ pVars[i] = i;
+ if ( Abc_TtTruthIsConst0( p, nWords ) )
+ pBuffer[Pos++] = '0';
+ else if ( Abc_TtTruthIsConst1( p, nWords ) )
+ pBuffer[Pos++] = '1';
+ else if ( nVars <= 6 )
+ Pos = Dau_DsdRun6_rec( p, pVars, nVars, pBuffer, Pos, pStore, Func );
+ else
+ Pos = Dau_DsdRun_rec( p, pVars, nVars, pBuffer, Pos, pStore, Func );
+ pBuffer[Pos++] = 0;
+ Dau_DsdCleanBraces( pBuffer );
+ return pBuffer;
+}
+
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////