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Diffstat (limited to 'src/misc/extra/extraUtilTruth.c')
| -rw-r--r-- | src/misc/extra/extraUtilTruth.c | 1148 |
1 files changed, 1148 insertions, 0 deletions
diff --git a/src/misc/extra/extraUtilTruth.c b/src/misc/extra/extraUtilTruth.c new file mode 100644 index 00000000..3b0b16eb --- /dev/null +++ b/src/misc/extra/extraUtilTruth.c @@ -0,0 +1,1148 @@ +/**CFile**************************************************************** + + FileName [extraUtilMisc.c] + + SystemName [ABC: Logic synthesis and verification system.] + + PackageName [extra] + + Synopsis [Various procedures for truth table manipulation.] + + Author [Alan Mishchenko] + + Affiliation [UC Berkeley] + + Date [Ver. 1.0. Started - June 20, 2005.] + + Revision [$Id: extraUtilMisc.c,v 1.0 2003/09/01 00:00:00 alanmi Exp $] + +***********************************************************************/ + +#include "extra.h" + +/*---------------------------------------------------------------------------*/ +/* Constant declarations */ +/*---------------------------------------------------------------------------*/ + +/*---------------------------------------------------------------------------*/ +/* Stucture declarations */ +/*---------------------------------------------------------------------------*/ + +/*---------------------------------------------------------------------------*/ +/* Type declarations */ +/*---------------------------------------------------------------------------*/ + +/*---------------------------------------------------------------------------*/ +/* Variable declarations */ +/*---------------------------------------------------------------------------*/ + +static unsigned s_VarMasks[5][2] = { + { 0x33333333, 0xAAAAAAAA }, + { 0x55555555, 0xCCCCCCCC }, + { 0x0F0F0F0F, 0xF0F0F0F0 }, + { 0x00FF00FF, 0xFF00FF00 }, + { 0x0000FFFF, 0xFFFF0000 } +}; + +/*---------------------------------------------------------------------------*/ +/* Macro declarations */ +/*---------------------------------------------------------------------------*/ + +/**AutomaticStart*************************************************************/ + +/*---------------------------------------------------------------------------*/ +/* Static function prototypes */ +/*---------------------------------------------------------------------------*/ + +/**AutomaticEnd***************************************************************/ + +/*---------------------------------------------------------------------------*/ +/* Definition of exported functions */ +/*---------------------------------------------------------------------------*/ + +/**Function************************************************************* + + Synopsis [Derive elementary truth tables.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +unsigned ** Extra_TruthElementary( int nVars ) +{ + unsigned ** pRes; + int i, k, nWords; + nWords = Extra_TruthWordNum(nVars); + pRes = (unsigned **)Extra_ArrayAlloc( nVars, nWords, 4 ); + for ( i = 0; i < nVars; i++ ) + { + if ( i < 5 ) + { + for ( k = 0; k < nWords; k++ ) + pRes[i][k] = s_VarMasks[i][1]; + } + else + { + for ( k = 0; k < nWords; k++ ) + if ( k & (1 << (i-5)) ) + pRes[i][k] = ~(unsigned)0; + else + pRes[i][k] = 0; + } + } + return pRes; +} + +/**Function************************************************************* + + Synopsis [Swaps two adjacent variables in the truth table.] + + Description [Swaps var number Start and var number Start+1 (0-based numbers). + The input truth table is pIn. The output truth table is pOut.] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthSwapAdjacentVars( unsigned * pOut, unsigned * pIn, int nVars, int iVar ) +{ + static unsigned PMasks[4][3] = { + { 0x99999999, 0x22222222, 0x44444444 }, + { 0xC3C3C3C3, 0x0C0C0C0C, 0x30303030 }, + { 0xF00FF00F, 0x00F000F0, 0x0F000F00 }, + { 0xFF0000FF, 0x0000FF00, 0x00FF0000 } + }; + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step, Shift; + + assert( iVar < nVars - 1 ); + if ( iVar < 4 ) + { + Shift = (1 << iVar); + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pIn[i] & PMasks[iVar][0]) | ((pIn[i] & PMasks[iVar][1]) << Shift) | ((pIn[i] & PMasks[iVar][2]) >> Shift); + } + else if ( iVar > 4 ) + { + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 4*Step ) + { + for ( i = 0; i < Step; i++ ) + pOut[i] = pIn[i]; + for ( i = 0; i < Step; i++ ) + pOut[Step+i] = pIn[2*Step+i]; + for ( i = 0; i < Step; i++ ) + pOut[2*Step+i] = pIn[Step+i]; + for ( i = 0; i < Step; i++ ) + pOut[3*Step+i] = pIn[3*Step+i]; + pIn += 4*Step; + pOut += 4*Step; + } + } + else // if ( iVar == 4 ) + { + for ( i = 0; i < nWords; i += 2 ) + { + pOut[i] = (pIn[i] & 0x0000FFFF) | ((pIn[i+1] & 0x0000FFFF) << 16); + pOut[i+1] = (pIn[i+1] & 0xFFFF0000) | ((pIn[i] & 0xFFFF0000) >> 16); + } + } +} + +/**Function************************************************************* + + Synopsis [Swaps two adjacent variables in the truth table.] + + Description [Swaps var number Start and var number Start+1 (0-based numbers). + The input truth table is pIn. The output truth table is pOut.] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthSwapAdjacentVars2( unsigned * pIn, unsigned * pOut, int nVars, int Start ) +{ + int nWords = (nVars <= 5)? 1 : (1 << (nVars-5)); + int i, k, Step; + + assert( Start < nVars - 1 ); + switch ( Start ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pIn[i] & 0x99999999) | ((pIn[i] & 0x22222222) << 1) | ((pIn[i] & 0x44444444) >> 1); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pIn[i] & 0xC3C3C3C3) | ((pIn[i] & 0x0C0C0C0C) << 2) | ((pIn[i] & 0x30303030) >> 2); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pIn[i] & 0xF00FF00F) | ((pIn[i] & 0x00F000F0) << 4) | ((pIn[i] & 0x0F000F00) >> 4); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pIn[i] & 0xFF0000FF) | ((pIn[i] & 0x0000FF00) << 8) | ((pIn[i] & 0x00FF0000) >> 8); + return; + case 4: + for ( i = 0; i < nWords; i += 2 ) + { + pOut[i] = (pIn[i] & 0x0000FFFF) | ((pIn[i+1] & 0x0000FFFF) << 16); + pOut[i+1] = (pIn[i+1] & 0xFFFF0000) | ((pIn[i] & 0xFFFF0000) >> 16); + } + return; + default: + Step = (1 << (Start - 5)); + for ( k = 0; k < nWords; k += 4*Step ) + { + for ( i = 0; i < Step; i++ ) + pOut[i] = pIn[i]; + for ( i = 0; i < Step; i++ ) + pOut[Step+i] = pIn[2*Step+i]; + for ( i = 0; i < Step; i++ ) + pOut[2*Step+i] = pIn[Step+i]; + for ( i = 0; i < Step; i++ ) + pOut[3*Step+i] = pIn[3*Step+i]; + pIn += 4*Step; + pOut += 4*Step; + } + return; + } +} + +/**Function************************************************************* + + Synopsis [Expands the truth table according to the phase.] + + Description [The input and output truth tables are in pIn/pOut. The current number + of variables is nVars. The total number of variables in nVarsAll. The last argument + (Phase) contains shows where the variables should go.] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase ) +{ + unsigned * pTemp; + int i, k, Var = nVars - 1, Counter = 0; + for ( i = nVarsAll - 1; i >= 0; i-- ) + if ( Phase & (1 << i) ) + { + for ( k = Var; k < i; k++ ) + { + Extra_TruthSwapAdjacentVars( pOut, pIn, nVarsAll, k ); + pTemp = pIn; pIn = pOut; pOut = pTemp; + Counter++; + } + Var--; + } + assert( Var == -1 ); + // swap if it was moved an even number of times + if ( !(Counter & 1) ) + Extra_TruthCopy( pOut, pIn, nVarsAll ); +} + +/**Function************************************************************* + + Synopsis [Shrinks the truth table according to the phase.] + + Description [The input and output truth tables are in pIn/pOut. The current number + of variables is nVars. The total number of variables in nVarsAll. The last argument + (Phase) contains shows what variables should remain.] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase ) +{ + unsigned * pTemp; + int i, k, Var = 0, Counter = 0; + for ( i = 0; i < nVarsAll; i++ ) + if ( Phase & (1 << i) ) + { + for ( k = i-1; k >= Var; k-- ) + { + Extra_TruthSwapAdjacentVars( pOut, pIn, nVarsAll, k ); + pTemp = pIn; pIn = pOut; pOut = pTemp; + Counter++; + } + Var++; + } + assert( Var == nVars ); + // swap if it was moved an even number of times + if ( !(Counter & 1) ) + Extra_TruthCopy( pOut, pIn, nVarsAll ); +} + + +/**Function************************************************************* + + Synopsis [Returns 1 if TT depends on the given variable.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +int Extra_TruthVarInSupport( unsigned * pTruth, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + if ( (pTruth[i] & 0x55555555) != ((pTruth[i] & 0xAAAAAAAA) >> 1) ) + return 1; + return 0; + case 1: + for ( i = 0; i < nWords; i++ ) + if ( (pTruth[i] & 0x33333333) != ((pTruth[i] & 0xCCCCCCCC) >> 2) ) + return 1; + return 0; + case 2: + for ( i = 0; i < nWords; i++ ) + if ( (pTruth[i] & 0x0F0F0F0F) != ((pTruth[i] & 0xF0F0F0F0) >> 4) ) + return 1; + return 0; + case 3: + for ( i = 0; i < nWords; i++ ) + if ( (pTruth[i] & 0x00FF00FF) != ((pTruth[i] & 0xFF00FF00) >> 8) ) + return 1; + return 0; + case 4: + for ( i = 0; i < nWords; i++ ) + if ( (pTruth[i] & 0x0000FFFF) != ((pTruth[i] & 0xFFFF0000) >> 16) ) + return 1; + return 0; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + if ( pTruth[i] != pTruth[Step+i] ) + return 1; + pTruth += 2*Step; + } + return 0; + } +} + +/**Function************************************************************* + + Synopsis [Returns the number of support vars.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +int Extra_TruthSupportSize( unsigned * pTruth, int nVars ) +{ + int i, Counter = 0; + for ( i = 0; i < nVars; i++ ) + Counter += Extra_TruthVarInSupport( pTruth, nVars, i ); + return Counter; +} + +/**Function************************************************************* + + Synopsis [Returns support of the function.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +int Extra_TruthSupport( unsigned * pTruth, int nVars ) +{ + int i, Support = 0; + for ( i = 0; i < nVars; i++ ) + if ( Extra_TruthVarInSupport( pTruth, nVars, i ) ) + Support |= (1 << i); + return Support; +} + + + +/**Function************************************************************* + + Synopsis [Computes positive cofactor of the function.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthCofactor1( unsigned * pTruth, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0xAAAAAAAA) | ((pTruth[i] & 0xAAAAAAAA) >> 1); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0xCCCCCCCC) | ((pTruth[i] & 0xCCCCCCCC) >> 2); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0xF0F0F0F0) | ((pTruth[i] & 0xF0F0F0F0) >> 4); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0xFF00FF00) | ((pTruth[i] & 0xFF00FF00) >> 8); + return; + case 4: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0xFFFF0000) | ((pTruth[i] & 0xFFFF0000) >> 16); + return; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + pTruth[i] = pTruth[Step+i]; + pTruth += 2*Step; + } + return; + } +} + +/**Function************************************************************* + + Synopsis [Computes negative cofactor of the function.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthCofactor0( unsigned * pTruth, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0x55555555) | ((pTruth[i] & 0x55555555) << 1); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0x33333333) | ((pTruth[i] & 0x33333333) << 2); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0x0F0F0F0F) | ((pTruth[i] & 0x0F0F0F0F) << 4); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0x00FF00FF) | ((pTruth[i] & 0x00FF00FF) << 8); + return; + case 4: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = (pTruth[i] & 0x0000FFFF) | ((pTruth[i] & 0x0000FFFF) << 16); + return; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + pTruth[Step+i] = pTruth[i]; + pTruth += 2*Step; + } + return; + } +} + + +/**Function************************************************************* + + Synopsis [Existentially quantifies the variable.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthExist( unsigned * pTruth, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pTruth[i] |= ((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pTruth[i] |= ((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pTruth[i] |= ((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pTruth[i] |= ((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8); + return; + case 4: + for ( i = 0; i < nWords; i++ ) + pTruth[i] |= ((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16); + return; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + { + pTruth[i] |= pTruth[Step+i]; + pTruth[Step+i] = pTruth[i]; + } + pTruth += 2*Step; + } + return; + } +} + +/**Function************************************************************* + + Synopsis [Existentially quantifies the variable.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthForall( unsigned * pTruth, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pTruth[i] &= ((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pTruth[i] &= ((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pTruth[i] &= ((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pTruth[i] &= ((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8); + return; + case 4: + for ( i = 0; i < nWords; i++ ) + pTruth[i] &= ((pTruth[i] & 0xFFFF0000) >> 16) | ((pTruth[i] & 0x0000FFFF) << 16); + return; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + { + pTruth[i] &= pTruth[Step+i]; + pTruth[Step+i] = pTruth[i]; + } + pTruth += 2*Step; + } + return; + } +} + + +/**Function************************************************************* + + Synopsis [Computes negative cofactor of the function.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthMux( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pCof0[i] & 0x55555555) | (pCof1[i] & 0xAAAAAAAA); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pCof0[i] & 0x33333333) | (pCof1[i] & 0xCCCCCCCC); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pCof0[i] & 0x0F0F0F0F) | (pCof1[i] & 0xF0F0F0F0); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pCof0[i] & 0x00FF00FF) | (pCof1[i] & 0xFF00FF00); + return; + case 4: + for ( i = 0; i < nWords; i++ ) + pOut[i] = (pCof0[i] & 0x0000FFFF) | (pCof1[i] & 0xFFFF0000); + return; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + { + pOut[i] = pCof0[i]; + pOut[Step+i] = pCof1[Step+i]; + } + pOut += 2*Step; + } + return; + } +} + +/**Function************************************************************* + + Synopsis [Checks symmetry of two variables.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +int Extra_TruthVarsSymm( unsigned * pTruth, int nVars, int iVar0, int iVar1 ) +{ + static unsigned uTemp0[16], uTemp1[16]; + assert( nVars <= 9 ); + // compute Cof01 + Extra_TruthCopy( uTemp0, pTruth, nVars ); + Extra_TruthCofactor0( uTemp0, nVars, iVar0 ); + Extra_TruthCofactor1( uTemp0, nVars, iVar1 ); + // compute Cof10 + Extra_TruthCopy( uTemp1, pTruth, nVars ); + Extra_TruthCofactor1( uTemp1, nVars, iVar0 ); + Extra_TruthCofactor0( uTemp1, nVars, iVar1 ); + // compare + return Extra_TruthIsEqual( uTemp0, uTemp1, nVars ); +} + +/**Function************************************************************* + + Synopsis [Checks antisymmetry of two variables.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +int Extra_TruthVarsAntiSymm( unsigned * pTruth, int nVars, int iVar0, int iVar1 ) +{ + static unsigned uTemp0[16], uTemp1[16]; + assert( nVars <= 9 ); + // compute Cof00 + Extra_TruthCopy( uTemp0, pTruth, nVars ); + Extra_TruthCofactor0( uTemp0, nVars, iVar0 ); + Extra_TruthCofactor0( uTemp0, nVars, iVar1 ); + // compute Cof11 + Extra_TruthCopy( uTemp1, pTruth, nVars ); + Extra_TruthCofactor1( uTemp1, nVars, iVar0 ); + Extra_TruthCofactor1( uTemp1, nVars, iVar1 ); + // compare + return Extra_TruthIsEqual( uTemp0, uTemp1, nVars ); +} + +/**Function************************************************************* + + Synopsis [Changes phase of the function w.r.t. one variable.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthChangePhase( unsigned * pTruth, int nVars, int iVar ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Step; + unsigned Temp; + + assert( iVar < nVars ); + switch ( iVar ) + { + case 0: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = ((pTruth[i] & 0x55555555) << 1) | ((pTruth[i] & 0xAAAAAAAA) >> 1); + return; + case 1: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = ((pTruth[i] & 0x33333333) << 2) | ((pTruth[i] & 0xCCCCCCCC) >> 2); + return; + case 2: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = ((pTruth[i] & 0x0F0F0F0F) << 4) | ((pTruth[i] & 0xF0F0F0F0) >> 4); + return; + case 3: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = ((pTruth[i] & 0x00FF00FF) << 8) | ((pTruth[i] & 0xFF00FF00) >> 8); + return; + case 4: + for ( i = 0; i < nWords; i++ ) + pTruth[i] = ((pTruth[i] & 0x0000FFFF) << 16) | ((pTruth[i] & 0xFFFF0000) >> 16); + return; + default: + Step = (1 << (iVar - 5)); + for ( k = 0; k < nWords; k += 2*Step ) + { + for ( i = 0; i < Step; i++ ) + { + Temp = pTruth[i]; + pTruth[i] = pTruth[Step+i]; + pTruth[Step+i] = Temp; + } + pTruth += 2*Step; + } + return; + } +} + +/**Function************************************************************* + + Synopsis [Computes minimum overlap in supports of cofactors.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +int Extra_TruthMinCofSuppOverlap( unsigned * pTruth, int nVars, int * pVarMin ) +{ + static unsigned uCofactor[16]; + int i, ValueCur, ValueMin, VarMin; + unsigned uSupp0, uSupp1; + int nVars0, nVars1; + assert( nVars <= 9 ); + ValueMin = 32; + VarMin = -1; + for ( i = 0; i < nVars; i++ ) + { + // get negative cofactor + Extra_TruthCopy( uCofactor, pTruth, nVars ); + Extra_TruthCofactor0( uCofactor, nVars, i ); + uSupp0 = Extra_TruthSupport( uCofactor, nVars ); + nVars0 = Extra_WordCountOnes( uSupp0 ); +//Extra_PrintBinary( stdout, &uSupp0, 8 ); printf( "\n" ); + // get positive cofactor + Extra_TruthCopy( uCofactor, pTruth, nVars ); + Extra_TruthCofactor1( uCofactor, nVars, i ); + uSupp1 = Extra_TruthSupport( uCofactor, nVars ); + nVars1 = Extra_WordCountOnes( uSupp1 ); +//Extra_PrintBinary( stdout, &uSupp1, 8 ); printf( "\n" ); + // get the number of common vars + ValueCur = Extra_WordCountOnes( uSupp0 & uSupp1 ); + if ( ValueMin > ValueCur && nVars0 <= 5 && nVars1 <= 5 ) + { + ValueMin = ValueCur; + VarMin = i; + } + if ( ValueMin == 0 ) + break; + } + if ( pVarMin ) + *pVarMin = VarMin; + return ValueMin; +} + + +/**Function************************************************************* + + Synopsis [Counts the number of 1's in each cofactor.] + + Description [The resulting numbers are stored in the array of shorts, + whose length is 2*nVars. The number of 1's is counted in a different + space than the original function. For example, if the function depends + on k variables, the cofactors are assumed to depend on k-1 variables.] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +void Extra_TruthCountOnesInCofs( unsigned * pTruth, int nVars, short * pStore ) +{ + int nWords = Extra_TruthWordNum( nVars ); + int i, k, Counter; + memset( pStore, 0, sizeof(short) * 2 * nVars ); + if ( nVars <= 5 ) + { + if ( nVars > 0 ) + { + pStore[2*0+0] = Extra_WordCountOnes( pTruth[0] & 0x55555555 ); + pStore[2*0+1] = Extra_WordCountOnes( pTruth[0] & 0xAAAAAAAA ); + } + if ( nVars > 1 ) + { + pStore[2*1+0] = Extra_WordCountOnes( pTruth[0] & 0x33333333 ); + pStore[2*1+1] = Extra_WordCountOnes( pTruth[0] & 0xCCCCCCCC ); + } + if ( nVars > 2 ) + { + pStore[2*2+0] = Extra_WordCountOnes( pTruth[0] & 0x0F0F0F0F ); + pStore[2*2+1] = Extra_WordCountOnes( pTruth[0] & 0xF0F0F0F0 ); + } + if ( nVars > 3 ) + { + pStore[2*3+0] = Extra_WordCountOnes( pTruth[0] & 0x00FF00FF ); + pStore[2*3+1] = Extra_WordCountOnes( pTruth[0] & 0xFF00FF00 ); + } + if ( nVars > 4 ) + { + pStore[2*4+0] = Extra_WordCountOnes( pTruth[0] & 0x0000FFFF ); + pStore[2*4+1] = Extra_WordCountOnes( pTruth[0] & 0xFFFF0000 ); + } + return; + } + // nVars >= 6 + // count 1's for all other variables + for ( k = 0; k < nWords; k++ ) + { + Counter = Extra_WordCountOnes( pTruth[k] ); + for ( i = 5; i < nVars; i++ ) + if ( k & (1 << (i-5)) ) + pStore[2*i+1] += Counter; + else + pStore[2*i+0] += Counter; + } + // count 1's for the first five variables + for ( k = 0; k < nWords/2; k++ ) + { + pStore[2*0+0] += Extra_WordCountOnes( (pTruth[0] & 0x55555555) | ((pTruth[1] & 0x55555555) << 1) ); + pStore[2*0+1] += Extra_WordCountOnes( (pTruth[0] & 0xAAAAAAAA) | ((pTruth[1] & 0xAAAAAAAA) >> 1) ); + pStore[2*1+0] += Extra_WordCountOnes( (pTruth[0] & 0x33333333) | ((pTruth[1] & 0x33333333) << 2) ); + pStore[2*1+1] += Extra_WordCountOnes( (pTruth[0] & 0xCCCCCCCC) | ((pTruth[1] & 0xCCCCCCCC) >> 2) ); + pStore[2*2+0] += Extra_WordCountOnes( (pTruth[0] & 0x0F0F0F0F) | ((pTruth[1] & 0x0F0F0F0F) << 4) ); + pStore[2*2+1] += Extra_WordCountOnes( (pTruth[0] & 0xF0F0F0F0) | ((pTruth[1] & 0xF0F0F0F0) >> 4) ); + pStore[2*3+0] += Extra_WordCountOnes( (pTruth[0] & 0x00FF00FF) | ((pTruth[1] & 0x00FF00FF) << 8) ); + pStore[2*3+1] += Extra_WordCountOnes( (pTruth[0] & 0xFF00FF00) | ((pTruth[1] & 0xFF00FF00) >> 8) ); + pStore[2*4+0] += Extra_WordCountOnes( (pTruth[0] & 0x0000FFFF) | ((pTruth[1] & 0x0000FFFF) << 16) ); + pStore[2*4+1] += Extra_WordCountOnes( (pTruth[0] & 0xFFFF0000) | ((pTruth[1] & 0xFFFF0000) >> 16) ); + pTruth += 2; + } +} + + +/**Function************************************************************* + + Synopsis [Canonicize the truth table.] + + Description [] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +unsigned Extra_TruthHash( unsigned * pIn, int nWords ) +{ + // The 1,024 smallest prime numbers used to compute the hash value + // http://www.math.utah.edu/~alfeld/math/primelist.html + static int HashPrimes[1024] = { 2, 3, 5, + 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, + 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, + 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, + 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, + 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, + 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, + 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, + 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, + 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, + 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, + 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, + 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, + 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, + 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, + 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, + 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, + 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, + 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, + 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, + 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, + 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, + 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, + 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, + 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, + 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, + 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, + 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, + 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, + 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, + 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, + 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, + 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, + 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, + 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, + 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, + 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, + 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, + 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, + 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, + 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, + 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, + 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, + 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, + 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, + 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, + 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, + 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, + 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, + 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, + 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, + 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, + 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, + 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, + 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, + 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, + 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, + 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, + 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, + 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, + 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, + 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, + 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, + 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, + 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, + 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, + 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, + 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, + 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, + 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, + 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, + 8147, 8161 }; + int i; + unsigned uHashKey; + assert( nWords <= 1024 ); + uHashKey = 0; + for ( i = 0; i < nWords; i++ ) + uHashKey ^= HashPrimes[i] * pIn[i]; + return uHashKey; +} + + +/**Function************************************************************* + + Synopsis [Canonicize the truth table.] + + Description [Returns the phase. ] + + SideEffects [] + + SeeAlso [] + +***********************************************************************/ +unsigned Extra_TruthSemiCanonicize( unsigned * pInOut, unsigned * pAux, int nVars, char * pCanonPerm, short * pStore ) +{ + unsigned * pIn = pInOut, * pOut = pAux, * pTemp; + int nWords = Extra_TruthWordNum( nVars ); + int i, Temp, fChange, Counter, nOnes;//, k, j, w, Limit; + unsigned uCanonPhase; + + // canonicize output + uCanonPhase = 0; + nOnes = Extra_TruthCountOnes(pIn, nVars); + if ( (nOnes > nWords * 16) || ((nOnes == nWords * 16) && (pIn[0] & 1)) ) + { + uCanonPhase |= (1 << nVars); + Extra_TruthNot( pIn, pIn, nVars ); + } + + // collect the minterm counts + Extra_TruthCountOnesInCofs( pIn, nVars, pStore ); + + // canonicize phase + for ( i = 0; i < nVars; i++ ) + { + if ( pStore[2*i+0] <= pStore[2*i+1] ) + continue; + uCanonPhase |= (1 << i); + Temp = pStore[2*i+0]; + pStore[2*i+0] = pStore[2*i+1]; + pStore[2*i+1] = Temp; + Extra_TruthChangePhase( pIn, nVars, i ); + } + +// Extra_PrintHexadecimal( stdout, pIn, nVars ); +// printf( "\n" ); + + // permute + Counter = 0; + do { + fChange = 0; + for ( i = 0; i < nVars-1; i++ ) + { + if ( pStore[2*i] <= pStore[2*(i+1)] ) + continue; + Counter++; + fChange = 1; + + Temp = pCanonPerm[i]; + pCanonPerm[i] = pCanonPerm[i+1]; + pCanonPerm[i+1] = Temp; + + Temp = pStore[2*i]; + pStore[2*i] = pStore[2*(i+1)]; + pStore[2*(i+1)] = Temp; + + Temp = pStore[2*i+1]; + pStore[2*i+1] = pStore[2*(i+1)+1]; + pStore[2*(i+1)+1] = Temp; + + Extra_TruthSwapAdjacentVars( pOut, pIn, nVars, i ); + pTemp = pIn; pIn = pOut; pOut = pTemp; + } + } while ( fChange ); + +/* + 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 ); + Extra_PrintHexadecimal( stdout, pIn, nVars ); + printf( "\n" ); +*/ + +/* + // process symmetric variable groups + uSymms = 0; + for ( i = 0; i < nVars-1; i++ ) + { + if ( pStore[2*i] != pStore[2*(i+1)] ) // i and i+1 cannot be symmetric + continue; + if ( pStore[2*i] != pStore[2*i+1] ) + continue; + if ( Extra_TruthVarsSymm( pIn, nVars, i, i+1 ) ) + continue; + if ( Extra_TruthVarsAntiSymm( pIn, nVars, i, i+1 ) ) + Extra_TruthChangePhase( pIn, nVars, i+1 ); + } +*/ + +/* + // process symmetric variable groups + uSymms = 0; + for ( i = 0; i < nVars-1; i++ ) + { + if ( pStore[2*i] != pStore[2*(i+1)] ) // i and i+1 cannot be symmetric + continue; + // i and i+1 can be symmetric + // find the end of this group + for ( k = i+1; k < nVars; k++ ) + if ( pStore[2*i] != pStore[2*k] ) + break; + Limit = k; + assert( i < Limit-1 ); + // go through the variables in this group + for ( j = i + 1; j < Limit; j++ ) + { + // check symmetry + if ( Extra_TruthVarsSymm( pIn, nVars, i, j ) ) + { + uSymms |= (1 << j); + continue; + } + // they are phase-unknown + if ( pStore[2*i] == pStore[2*i+1] ) + { + if ( Extra_TruthVarsAntiSymm( pIn, nVars, i, j ) ) + { + Extra_TruthChangePhase( pIn, nVars, j ); + uCanonPhase ^= (1 << j); + uSymms |= (1 << j); + continue; + } + } + + // they are not symmetric - move j as far as it goes in the group + for ( k = j; k < Limit-1; k++ ) + { + Counter++; + + Temp = pCanonPerm[k]; + pCanonPerm[k] = pCanonPerm[k+1]; + pCanonPerm[k+1] = Temp; + + assert( pStore[2*k] == pStore[2*(k+1)] ); + Extra_TruthSwapAdjacentVars( pOut, pIn, nVars, k ); + pTemp = pIn; pIn = pOut; pOut = pTemp; + } + Limit--; + j--; + } + i = Limit - 1; + } +*/ + + // swap if it was moved an even number of times + if ( Counter & 1 ) + Extra_TruthCopy( pOut, pIn, nVars ); + return uCanonPhase; +} + +//////////////////////////////////////////////////////////////////////// +/// END OF FILE /// +//////////////////////////////////////////////////////////////////////// + + |