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-/**CFile****************************************************************
-
- FileName [kitTruth.c]
-
- SystemName [ABC: Logic synthesis and verification system.]
-
- PackageName [Computation kit.]
-
- Synopsis [Procedures involving truth tables.]
-
- Author [Alan Mishchenko]
-
- Affiliation [UC Berkeley]
-
- Date [Ver. 1.0. Started - Dec 6, 2006.]
-
- Revision [$Id: kitTruth.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
-
-***********************************************************************/
-
-#include "kit.h"
-
-////////////////////////////////////////////////////////////////////////
-/// DECLARATIONS ///
-////////////////////////////////////////////////////////////////////////
-
-////////////////////////////////////////////////////////////////////////
-/// FUNCTION DEFINITIONS ///
-////////////////////////////////////////////////////////////////////////
-
-/**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 Kit_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 = Kit_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 Kit_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 Kit_TruthStretch( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn )
-{
- 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++ )
- {
- Kit_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 ( fReturnIn ^ !(Counter & 1) )
- Kit_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 Kit_TruthShrink( unsigned * pOut, unsigned * pIn, int nVars, int nVarsAll, unsigned Phase, int fReturnIn )
-{
- 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-- )
- {
- Kit_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 ( fReturnIn ^ !(Counter & 1) )
- Kit_TruthCopy( pOut, pIn, nVarsAll );
-}
-
-
-/**Function*************************************************************
-
- Synopsis [Returns 1 if TT depends on the given variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Kit_TruthVarInSupport( unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_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 Kit_TruthSupportSize( unsigned * pTruth, int nVars )
-{
- int i, Counter = 0;
- for ( i = 0; i < nVars; i++ )
- Counter += Kit_TruthVarInSupport( pTruth, nVars, i );
- return Counter;
-}
-
-/**Function*************************************************************
-
- Synopsis [Returns support of the function.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-unsigned Kit_TruthSupport( unsigned * pTruth, int nVars )
-{
- int i, Support = 0;
- for ( i = 0; i < nVars; i++ )
- if ( Kit_TruthVarInSupport( pTruth, nVars, i ) )
- Support |= (1 << i);
- return Support;
-}
-
-
-
-/**Function*************************************************************
-
- Synopsis [Computes negative cofactor of the function.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthCofactor0( unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_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 [Computes positive cofactor of the function.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthCofactor1( unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_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 positive cofactor of the function.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthCofactor0New( unsigned * pOut, unsigned * pIn, int nVars, int iVar )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Step;
-
- assert( iVar < nVars );
- switch ( iVar )
- {
- case 0:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0x55555555) | ((pIn[i] & 0x55555555) << 1);
- return;
- case 1:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0x33333333) | ((pIn[i] & 0x33333333) << 2);
- return;
- case 2:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0x0F0F0F0F) | ((pIn[i] & 0x0F0F0F0F) << 4);
- return;
- case 3:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0x00FF00FF) | ((pIn[i] & 0x00FF00FF) << 8);
- return;
- case 4:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0x0000FFFF) | ((pIn[i] & 0x0000FFFF) << 16);
- return;
- default:
- Step = (1 << (iVar - 5));
- for ( k = 0; k < nWords; k += 2*Step )
- {
- for ( i = 0; i < Step; i++ )
- pOut[i] = pOut[Step+i] = pIn[i];
- pIn += 2*Step;
- pOut += 2*Step;
- }
- return;
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Computes positive cofactor of the function.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthCofactor1New( unsigned * pOut, unsigned * pIn, int nVars, int iVar )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Step;
-
- assert( iVar < nVars );
- switch ( iVar )
- {
- case 0:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0xAAAAAAAA) | ((pIn[i] & 0xAAAAAAAA) >> 1);
- return;
- case 1:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0xCCCCCCCC) | ((pIn[i] & 0xCCCCCCCC) >> 2);
- return;
- case 2:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0xF0F0F0F0) | ((pIn[i] & 0xF0F0F0F0) >> 4);
- return;
- case 3:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0xFF00FF00) | ((pIn[i] & 0xFF00FF00) >> 8);
- return;
- case 4:
- for ( i = 0; i < nWords; i++ )
- pOut[i] = (pIn[i] & 0xFFFF0000) | ((pIn[i] & 0xFFFF0000) >> 16);
- return;
- default:
- Step = (1 << (iVar - 5));
- for ( k = 0; k < nWords; k += 2*Step )
- {
- for ( i = 0; i < Step; i++ )
- pOut[i] = pOut[Step+i] = pIn[Step+i];
- pIn += 2*Step;
- pOut += 2*Step;
- }
- return;
- }
-}
-
-
-/**Function*************************************************************
-
- Synopsis [Existentially quantifies the variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthExist( unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_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 Kit_TruthExistNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Step;
-
- assert( iVar < nVars );
- switch ( iVar )
- {
- case 0:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] | ((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1);
- return;
- case 1:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] | ((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2);
- return;
- case 2:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] | ((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4);
- return;
- case 3:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] | ((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8);
- return;
- case 4:
- for ( i = 0; i < nWords; i++ )
- pRes[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++ )
- {
- pRes[i] = pTruth[i] | pTruth[Step+i];
- pRes[Step+i] = pRes[i];
- }
- pRes += 2*Step;
- pTruth += 2*Step;
- }
- return;
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Existantially quantifies the set of variables.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthExistSet( unsigned * pRes, unsigned * pTruth, int nVars, unsigned uMask )
-{
- int v;
- Kit_TruthCopy( pRes, pTruth, nVars );
- for ( v = 0; v < nVars; v++ )
- if ( uMask & (1 << v) )
- Kit_TruthExist( pRes, nVars, v );
-}
-
-/**Function*************************************************************
-
- Synopsis [Unversally quantifies the variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthForall( unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_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 [Universally quantifies the variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthForallNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Step;
-
- assert( iVar < nVars );
- switch ( iVar )
- {
- case 0:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] & (((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1));
- return;
- case 1:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] & (((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2));
- return;
- case 2:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] & (((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4));
- return;
- case 3:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] & (((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8));
- return;
- case 4:
- for ( i = 0; i < nWords; i++ )
- pRes[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++ )
- {
- pRes[i] = pTruth[i] & pTruth[Step+i];
- pRes[Step+i] = pRes[i];
- }
- pRes += 2*Step;
- pTruth += 2*Step;
- }
- return;
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Universally quantifies the variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthUniqueNew( unsigned * pRes, unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Step;
-
- assert( iVar < nVars );
- switch ( iVar )
- {
- case 0:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xAAAAAAAA) >> 1) | ((pTruth[i] & 0x55555555) << 1));
- return;
- case 1:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xCCCCCCCC) >> 2) | ((pTruth[i] & 0x33333333) << 2));
- return;
- case 2:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xF0F0F0F0) >> 4) | ((pTruth[i] & 0x0F0F0F0F) << 4));
- return;
- case 3:
- for ( i = 0; i < nWords; i++ )
- pRes[i] = pTruth[i] ^ (((pTruth[i] & 0xFF00FF00) >> 8) | ((pTruth[i] & 0x00FF00FF) << 8));
- return;
- case 4:
- for ( i = 0; i < nWords; i++ )
- pRes[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++ )
- {
- pRes[i] = pTruth[i] ^ pTruth[Step+i];
- pRes[Step+i] = pRes[i];
- }
- pRes += 2*Step;
- pTruth += 2*Step;
- }
- return;
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Universally quantifies the set of variables.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthForallSet( unsigned * pRes, unsigned * pTruth, int nVars, unsigned uMask )
-{
- int v;
- Kit_TruthCopy( pRes, pTruth, nVars );
- for ( v = 0; v < nVars; v++ )
- if ( uMask & (1 << v) )
- Kit_TruthForall( pRes, nVars, v );
-}
-
-
-/**Function*************************************************************
-
- Synopsis [Multiplexes two functions with the given variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthMuxVar( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar )
-{
- int nWords = Kit_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;
- pCof0 += 2*Step;
- pCof1 += 2*Step;
- }
- return;
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Multiplexes two functions with the given variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthMuxVarPhase( unsigned * pOut, unsigned * pCof0, unsigned * pCof1, int nVars, int iVar, int fCompl0 )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Step;
-
- if ( fCompl0 == 0 )
- {
- Kit_TruthMuxVar( pOut, pCof0, pCof1, nVars, iVar );
- return;
- }
-
- 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;
- pCof0 += 2*Step;
- pCof1 += 2*Step;
- }
- return;
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Checks symmetry of two variables.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Kit_TruthVarsSymm( unsigned * pTruth, int nVars, int iVar0, int iVar1 )
-{
- static unsigned uTemp0[16], uTemp1[16];
- assert( nVars <= 9 );
- // compute Cof01
- Kit_TruthCopy( uTemp0, pTruth, nVars );
- Kit_TruthCofactor0( uTemp0, nVars, iVar0 );
- Kit_TruthCofactor1( uTemp0, nVars, iVar1 );
- // compute Cof10
- Kit_TruthCopy( uTemp1, pTruth, nVars );
- Kit_TruthCofactor1( uTemp1, nVars, iVar0 );
- Kit_TruthCofactor0( uTemp1, nVars, iVar1 );
- // compare
- return Kit_TruthIsEqual( uTemp0, uTemp1, nVars );
-}
-
-/**Function*************************************************************
-
- Synopsis [Checks antisymmetry of two variables.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Kit_TruthVarsAntiSymm( unsigned * pTruth, int nVars, int iVar0, int iVar1 )
-{
- static unsigned uTemp0[16], uTemp1[16];
- assert( nVars <= 9 );
- // compute Cof00
- Kit_TruthCopy( uTemp0, pTruth, nVars );
- Kit_TruthCofactor0( uTemp0, nVars, iVar0 );
- Kit_TruthCofactor0( uTemp0, nVars, iVar1 );
- // compute Cof11
- Kit_TruthCopy( uTemp1, pTruth, nVars );
- Kit_TruthCofactor1( uTemp1, nVars, iVar0 );
- Kit_TruthCofactor1( uTemp1, nVars, iVar1 );
- // compare
- return Kit_TruthIsEqual( uTemp0, uTemp1, nVars );
-}
-
-/**Function*************************************************************
-
- Synopsis [Changes phase of the function w.r.t. one variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_TruthChangePhase( unsigned * pTruth, int nVars, int iVar )
-{
- int nWords = Kit_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 Kit_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
- Kit_TruthCopy( uCofactor, pTruth, nVars );
- Kit_TruthCofactor0( uCofactor, nVars, i );
- uSupp0 = Kit_TruthSupport( uCofactor, nVars );
- nVars0 = Kit_WordCountOnes( uSupp0 );
-//Kit_PrintBinary( stdout, &uSupp0, 8 ); printf( "\n" );
- // get positive cofactor
- Kit_TruthCopy( uCofactor, pTruth, nVars );
- Kit_TruthCofactor1( uCofactor, nVars, i );
- uSupp1 = Kit_TruthSupport( uCofactor, nVars );
- nVars1 = Kit_WordCountOnes( uSupp1 );
-//Kit_PrintBinary( stdout, &uSupp1, 8 ); printf( "\n" );
- // get the number of common vars
- ValueCur = Kit_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 [Find the best cofactoring variable.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-int Kit_TruthBestCofVar( unsigned * pTruth, int nVars, unsigned * pCof0, unsigned * pCof1 )
-{
- int i, iBestVar, nSuppSizeCur0, nSuppSizeCur1, nSuppSizeCur, nSuppSizeMin;
- if ( Kit_TruthIsConst0(pTruth, nVars) || Kit_TruthIsConst1(pTruth, nVars) )
- return -1;
- // iterate through variables
- iBestVar = -1;
- nSuppSizeMin = KIT_INFINITY;
- for ( i = 0; i < nVars; i++ )
- {
- // cofactor the functiona and get support sizes
- Kit_TruthCofactor0New( pCof0, pTruth, nVars, i );
- Kit_TruthCofactor1New( pCof1, pTruth, nVars, i );
- nSuppSizeCur0 = Kit_TruthSupportSize( pCof0, nVars );
- nSuppSizeCur1 = Kit_TruthSupportSize( pCof1, nVars );
- nSuppSizeCur = nSuppSizeCur0 + nSuppSizeCur1;
- // compare this variable with other variables
- if ( nSuppSizeMin > nSuppSizeCur )
- {
- nSuppSizeMin = nSuppSizeCur;
- iBestVar = i;
- }
- }
- assert( iBestVar != -1 );
- // cofactor w.r.t. this variable
- Kit_TruthCofactor0New( pCof0, pTruth, nVars, iBestVar );
- Kit_TruthCofactor1New( pCof1, pTruth, nVars, iBestVar );
- return iBestVar;
-}
-
-
-/**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 Kit_TruthCountOnesInCofs( unsigned * pTruth, int nVars, short * pStore )
-{
- int nWords = Kit_TruthWordNum( nVars );
- int i, k, Counter;
- memset( pStore, 0, sizeof(short) * 2 * nVars );
- if ( nVars <= 5 )
- {
- if ( nVars > 0 )
- {
- pStore[2*0+0] = Kit_WordCountOnes( pTruth[0] & 0x55555555 );
- pStore[2*0+1] = Kit_WordCountOnes( pTruth[0] & 0xAAAAAAAA );
- }
- if ( nVars > 1 )
- {
- pStore[2*1+0] = Kit_WordCountOnes( pTruth[0] & 0x33333333 );
- pStore[2*1+1] = Kit_WordCountOnes( pTruth[0] & 0xCCCCCCCC );
- }
- if ( nVars > 2 )
- {
- pStore[2*2+0] = Kit_WordCountOnes( pTruth[0] & 0x0F0F0F0F );
- pStore[2*2+1] = Kit_WordCountOnes( pTruth[0] & 0xF0F0F0F0 );
- }
- if ( nVars > 3 )
- {
- pStore[2*3+0] = Kit_WordCountOnes( pTruth[0] & 0x00FF00FF );
- pStore[2*3+1] = Kit_WordCountOnes( pTruth[0] & 0xFF00FF00 );
- }
- if ( nVars > 4 )
- {
- pStore[2*4+0] = Kit_WordCountOnes( pTruth[0] & 0x0000FFFF );
- pStore[2*4+1] = Kit_WordCountOnes( pTruth[0] & 0xFFFF0000 );
- }
- return;
- }
- // nVars >= 6
- // count 1's for all other variables
- for ( k = 0; k < nWords; k++ )
- {
- Counter = Kit_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] += Kit_WordCountOnes( (pTruth[0] & 0x55555555) | ((pTruth[1] & 0x55555555) << 1) );
- pStore[2*0+1] += Kit_WordCountOnes( (pTruth[0] & 0xAAAAAAAA) | ((pTruth[1] & 0xAAAAAAAA) >> 1) );
- pStore[2*1+0] += Kit_WordCountOnes( (pTruth[0] & 0x33333333) | ((pTruth[1] & 0x33333333) << 2) );
- pStore[2*1+1] += Kit_WordCountOnes( (pTruth[0] & 0xCCCCCCCC) | ((pTruth[1] & 0xCCCCCCCC) >> 2) );
- pStore[2*2+0] += Kit_WordCountOnes( (pTruth[0] & 0x0F0F0F0F) | ((pTruth[1] & 0x0F0F0F0F) << 4) );
- pStore[2*2+1] += Kit_WordCountOnes( (pTruth[0] & 0xF0F0F0F0) | ((pTruth[1] & 0xF0F0F0F0) >> 4) );
- pStore[2*3+0] += Kit_WordCountOnes( (pTruth[0] & 0x00FF00FF) | ((pTruth[1] & 0x00FF00FF) << 8) );
- pStore[2*3+1] += Kit_WordCountOnes( (pTruth[0] & 0xFF00FF00) | ((pTruth[1] & 0xFF00FF00) >> 8) );
- pStore[2*4+0] += Kit_WordCountOnes( (pTruth[0] & 0x0000FFFF) | ((pTruth[1] & 0x0000FFFF) << 16) );
- pStore[2*4+1] += Kit_WordCountOnes( (pTruth[0] & 0xFFFF0000) | ((pTruth[1] & 0xFFFF0000) >> 16) );
- pTruth += 2;
- }
-}
-
-/**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*************************************************************
-
- Synopsis [Canonicize the truth table.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-unsigned Kit_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 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;
- unsigned uCanonPhase;
-
- // canonicize output
- uCanonPhase = 0;
-/*
- nOnes = Kit_TruthCountOnes(pIn, nVars);
- 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] )
- continue;
- uCanonPhase |= (1 << i);
- Temp = pStore[2*i+0];
- pStore[2*i+0] = pStore[2*i+1];
- pStore[2*i+1] = Temp;
- Kit_TruthChangePhase( pIn, nVars, i );
- }
-
-// Kit_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;
-
- // 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 );
-
-/*
- 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 ( Kit_TruthVarsSymm( pIn, nVars, i, i+1 ) )
- continue;
- if ( Kit_TruthVarsAntiSymm( pIn, nVars, i, i+1 ) )
- Kit_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 ( Kit_TruthVarsSymm( pIn, nVars, i, j ) )
- {
- uSymms |= (1 << j);
- continue;
- }
- // they are phase-unknown
- if ( pStore[2*i] == pStore[2*i+1] )
- {
- if ( Kit_TruthVarsAntiSymm( pIn, nVars, i, j ) )
- {
- Kit_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)] );
- Kit_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 )
- Kit_TruthCopy( pOut, pIn, 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 [Prints the hex unsigned into a file.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-void Kit_PrintHexadecimal( FILE * pFile, unsigned Sign[], int nVars )
-{
- int nDigits, Digit, k;
- // write the number into the file
- nDigits = (1 << nVars) / 4;
- for ( k = nDigits - 1; k >= 0; k-- )
- {
- Digit = ((Sign[k/8] >> ((k%8) * 4)) & 15);
- if ( Digit < 10 )
- fprintf( pFile, "%d", Digit );
- else
- fprintf( pFile, "%c", 'a' + Digit-10 );
- }
-// fprintf( pFile, "\n" );
-}
-
-/**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" );
- Kit_PrintHexadecimal( stdout, &uWord, 5 );
- printf( ", " );
- }
-}
-
-/**Function*************************************************************
-
- Synopsis [Dumps truth table into a file.]
-
- Description [Generates script file for reading into ABC.]
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-char * Kit_TruthDumpToFile( unsigned * pTruth, int nVars, int nFile )
-{
- static char pFileName[100];
- FILE * pFile;
- sprintf( pFileName, "tt\\s%04d", nFile );
- pFile = fopen( pFileName, "w" );
- fprintf( pFile, "rt " );
- Kit_PrintHexadecimal( pFile, pTruth, nVars );
- fprintf( pFile, "; bdd; sop; ps\n" );
- fclose( pFile );
- return pFileName;
-}
-
-
-////////////////////////////////////////////////////////////////////////
-/// END OF FILE ///
-////////////////////////////////////////////////////////////////////////
-
-
generated by cgit v1.2.3 (git 2.25.1) at 2025-03-31 21:10:10 +0000