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/**CFile****************************************************************
FileName [fxuPair.c]
PackageName [MVSIS 2.0: Multi-valued logic synthesis system.]
Synopsis [Operations on cube pairs.]
Author [MVSIS Group]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - February 1, 2003.]
Revision [$Id: fxuPair.c,v 1.0 2003/02/01 00:00:00 alanmi Exp $]
***********************************************************************/
#include "fxuInt.h"
////////////////////////////////////////////////////////////////////////
/// DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
#define MAX_PRIMES 304
static s_Primes[MAX_PRIMES] =
{
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
};
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
/**Function*************************************************************
Synopsis [Find the canonical permutation of two cubes in the pair.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fxu_PairCanonicize( Fxu_Cube ** ppCube1, Fxu_Cube ** ppCube2 )
{
Fxu_Lit * pLit1, * pLit2;
Fxu_Cube * pCubeTemp;
// walk through the cubes to determine
// the one that has higher first variable
pLit1 = (*ppCube1)->lLits.pHead;
pLit2 = (*ppCube2)->lLits.pHead;
while ( 1 )
{
if ( pLit1->iVar == pLit2->iVar )
{
pLit1 = pLit1->pHNext;
pLit2 = pLit2->pHNext;
continue;
}
assert( pLit1 && pLit2 ); // this is true if the covers are SCC-free
if ( pLit1->iVar > pLit2->iVar )
{ // swap the cubes
pCubeTemp = *ppCube1;
*ppCube1 = *ppCube2;
*ppCube2 = pCubeTemp;
}
break;
}
}
/**Function*************************************************************
Synopsis [Find the canonical permutation of two cubes in the pair.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fxu_PairCanonicize2( Fxu_Cube ** ppCube1, Fxu_Cube ** ppCube2 )
{
Fxu_Cube * pCubeTemp;
// canonicize the pair by ordering the cubes
if ( (*ppCube1)->iCube > (*ppCube2)->iCube )
{ // swap the cubes
pCubeTemp = *ppCube1;
*ppCube1 = *ppCube2;
*ppCube2 = pCubeTemp;
}
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
unsigned Fxu_PairHashKeyArray( Fxu_Matrix * p, int piVarsC1[], int piVarsC2[], int nVarsC1, int nVarsC2 )
{
int Offset1 = 100, Offset2 = 200, i;
unsigned Key;
// compute the hash key
Key = 0;
for ( i = 0; i < nVarsC1; i++ )
Key ^= s_Primes[Offset1+i] * piVarsC1[i];
for ( i = 0; i < nVarsC2; i++ )
Key ^= s_Primes[Offset2+i] * piVarsC2[i];
return Key;
}
/**Function*************************************************************
Synopsis [Computes the hash key of the divisor represented by the pair of cubes.]
Description [Goes through the variables in both cubes. Skips the identical
ones (this corresponds to making the cubes cube-free). Computes the hash
value of the cubes. Assigns the number of literals in the base and in the
cubes without base.]
SideEffects []
SeeAlso []
***********************************************************************/
unsigned Fxu_PairHashKey( Fxu_Matrix * p, Fxu_Cube * pCube1, Fxu_Cube * pCube2,
int * pnBase, int * pnLits1, int * pnLits2 )
{
int Offset1 = 100, Offset2 = 200;
int nBase, nLits1, nLits2;
Fxu_Lit * pLit1, * pLit2;
unsigned Key;
// compute the hash key
Key = 0;
nLits1 = 0;
nLits2 = 0;
nBase = 0;
pLit1 = pCube1->lLits.pHead;
pLit2 = pCube2->lLits.pHead;
while ( 1 )
{
if ( pLit1 && pLit2 )
{
if ( pLit1->iVar == pLit2->iVar )
{ // ensure cube-free
pLit1 = pLit1->pHNext;
pLit2 = pLit2->pHNext;
// add this literal to the base
nBase++;
}
else if ( pLit1->iVar < pLit2->iVar )
{
Key ^= s_Primes[Offset1+nLits1] * pLit1->iVar;
pLit1 = pLit1->pHNext;
nLits1++;
}
else
{
Key ^= s_Primes[Offset2+nLits2] * pLit2->iVar;
pLit2 = pLit2->pHNext;
nLits2++;
}
}
else if ( pLit1 && !pLit2 )
{
Key ^= s_Primes[Offset1+nLits1] * pLit1->iVar;
pLit1 = pLit1->pHNext;
nLits1++;
}
else if ( !pLit1 && pLit2 )
{
Key ^= s_Primes[Offset2+nLits2] * pLit2->iVar;
pLit2 = pLit2->pHNext;
nLits2++;
}
else
break;
}
*pnBase = nBase;
*pnLits1 = nLits1;
*pnLits2 = nLits2;
return Key;
}
/**Function*************************************************************
Synopsis [Compares the two pairs.]
Description [Returns 1 if the divisors represented by these pairs
are equal.]
SideEffects []
SeeAlso []
***********************************************************************/
int Fxu_PairCompare( Fxu_Pair * pPair1, Fxu_Pair * pPair2 )
{
Fxu_Lit * pD1C1, * pD1C2;
Fxu_Lit * pD2C1, * pD2C2;
int TopVar1, TopVar2;
int Code;
if ( pPair1->nLits1 != pPair2->nLits1 )
return 0;
if ( pPair1->nLits2 != pPair2->nLits2 )
return 0;
pD1C1 = pPair1->pCube1->lLits.pHead;
pD1C2 = pPair1->pCube2->lLits.pHead;
pD2C1 = pPair2->pCube1->lLits.pHead;
pD2C2 = pPair2->pCube2->lLits.pHead;
Code = pD1C1? 8: 0;
Code |= pD1C2? 4: 0;
Code |= pD2C1? 2: 0;
Code |= pD2C2? 1: 0;
assert( Code == 15 );
while ( 1 )
{
switch ( Code )
{
case 0: // -- -- NULL NULL NULL NULL
return 1;
case 1: // -- -1 NULL NULL NULL pD2C2
return 0;
case 2: // -- 1- NULL NULL pD2C1 NULL
return 0;
case 3: // -- 11 NULL NULL pD2C1 pD2C2
if ( pD2C1->iVar != pD2C2->iVar )
return 0;
pD2C1 = pD2C1->pHNext;
pD2C2 = pD2C2->pHNext;
break;
case 4: // -1 -- NULL pD1C2 NULL NULL
return 0;
case 5: // -1 -1 NULL pD1C2 NULL pD2C2
if ( pD1C2->iVar != pD2C2->iVar )
return 0;
pD1C2 = pD1C2->pHNext;
pD2C2 = pD2C2->pHNext;
break;
case 6: // -1 1- NULL pD1C2 pD2C1 NULL
return 0;
case 7: // -1 11 NULL pD1C2 pD2C1 pD2C2
TopVar2 = Fxu_Min( pD2C1->iVar, pD2C2->iVar );
if ( TopVar2 == pD1C2->iVar )
{
if ( pD2C1->iVar <= pD2C2->iVar )
return 0;
pD1C2 = pD1C2->pHNext;
pD2C2 = pD2C2->pHNext;
}
else if ( TopVar2 < pD1C2->iVar )
{
if ( pD2C1->iVar != pD2C2->iVar )
return 0;
pD2C1 = pD2C1->pHNext;
pD2C2 = pD2C2->pHNext;
}
else
return 0;
break;
case 8: // 1- -- pD1C1 NULL NULL NULL
return 0;
case 9: // 1- -1 pD1C1 NULL NULL pD2C2
return 0;
case 10: // 1- 1- pD1C1 NULL pD2C1 NULL
if ( pD1C1->iVar != pD2C1->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD2C1 = pD2C1->pHNext;
break;
case 11: // 1- 11 pD1C1 NULL pD2C1 pD2C2
TopVar2 = Fxu_Min( pD2C1->iVar, pD2C2->iVar );
if ( TopVar2 == pD1C1->iVar )
{
if ( pD2C1->iVar >= pD2C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD2C1 = pD2C1->pHNext;
}
else if ( TopVar2 < pD1C1->iVar )
{
if ( pD2C1->iVar != pD2C2->iVar )
return 0;
pD2C1 = pD2C1->pHNext;
pD2C2 = pD2C2->pHNext;
}
else
return 0;
break;
case 12: // 11 -- pD1C1 pD1C2 NULL NULL
if ( pD1C1->iVar != pD1C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD1C2 = pD1C2->pHNext;
break;
case 13: // 11 -1 pD1C1 pD1C2 NULL pD2C2
TopVar1 = Fxu_Min( pD1C1->iVar, pD1C2->iVar );
if ( TopVar1 == pD2C2->iVar )
{
if ( pD1C1->iVar <= pD1C2->iVar )
return 0;
pD1C2 = pD1C2->pHNext;
pD2C2 = pD2C2->pHNext;
}
else if ( TopVar1 < pD2C2->iVar )
{
if ( pD1C1->iVar != pD1C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD1C2 = pD1C2->pHNext;
}
else
return 0;
break;
case 14: // 11 1- pD1C1 pD1C2 pD2C1 NULL
TopVar1 = Fxu_Min( pD1C1->iVar, pD1C2->iVar );
if ( TopVar1 == pD2C1->iVar )
{
if ( pD1C1->iVar >= pD1C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD2C1 = pD2C1->pHNext;
}
else if ( TopVar1 < pD2C1->iVar )
{
if ( pD1C1->iVar != pD1C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD1C2 = pD1C2->pHNext;
}
else
return 0;
break;
case 15: // 11 11 pD1C1 pD1C2 pD2C1 pD2C2
TopVar1 = Fxu_Min( pD1C1->iVar, pD1C2->iVar );
TopVar2 = Fxu_Min( pD2C1->iVar, pD2C2->iVar );
if ( TopVar1 == TopVar2 )
{
if ( pD1C1->iVar == pD1C2->iVar )
{
if ( pD2C1->iVar != pD2C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD1C2 = pD1C2->pHNext;
pD2C1 = pD2C1->pHNext;
pD2C2 = pD2C2->pHNext;
}
else
{
if ( pD2C1->iVar == pD2C2->iVar )
return 0;
if ( pD1C1->iVar < pD1C2->iVar )
{
if ( pD2C1->iVar > pD2C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD2C1 = pD2C1->pHNext;
}
else
{
if ( pD2C1->iVar < pD2C2->iVar )
return 0;
pD1C2 = pD1C2->pHNext;
pD2C2 = pD2C2->pHNext;
}
}
}
else if ( TopVar1 < TopVar2 )
{
if ( pD1C1->iVar != pD1C2->iVar )
return 0;
pD1C1 = pD1C1->pHNext;
pD1C2 = pD1C2->pHNext;
}
else
{
if ( pD2C1->iVar != pD2C2->iVar )
return 0;
pD2C1 = pD2C1->pHNext;
pD2C2 = pD2C2->pHNext;
}
break;
default:
assert( 0 );
break;
}
Code = pD1C1? 8: 0;
Code |= pD1C2? 4: 0;
Code |= pD2C1? 2: 0;
Code |= pD2C2? 1: 0;
}
return 1;
}
/**Function*************************************************************
Synopsis [Allocates the storage for cubes pairs.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fxu_PairAllocStorage( Fxu_Var * pVar, int nCubes )
{
int k;
// assert( pVar->nCubes == 0 );
pVar->nCubes = nCubes;
// allocate memory for all the pairs
pVar->ppPairs = ALLOC( Fxu_Pair **, nCubes );
pVar->ppPairs[0] = ALLOC( Fxu_Pair *, nCubes * nCubes );
memset( pVar->ppPairs[0], 0, sizeof(Fxu_Pair *) * nCubes * nCubes );
for ( k = 1; k < nCubes; k++ )
pVar->ppPairs[k] = pVar->ppPairs[k-1] + nCubes;
}
/**Function*************************************************************
Synopsis [Clears all pairs associated with this cube.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fxu_PairClearStorage( Fxu_Cube * pCube )
{
Fxu_Var * pVar;
int i;
pVar = pCube->pVar;
for ( i = 0; i < pVar->nCubes; i++ )
{
pVar->ppPairs[pCube->iCube][i] = NULL;
pVar->ppPairs[i][pCube->iCube] = NULL;
}
}
/**Function*************************************************************
Synopsis [Clears all pairs associated with this cube.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fxu_PairFreeStorage( Fxu_Var * pVar )
{
if ( pVar->ppPairs )
{
FREE( pVar->ppPairs[0] );
FREE( pVar->ppPairs );
}
}
/**Function*************************************************************
Synopsis [Adds the pair to storage.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Fxu_Pair * Fxu_PairAlloc( Fxu_Matrix * p, Fxu_Cube * pCube1, Fxu_Cube * pCube2 )
{
Fxu_Pair * pPair;
assert( pCube1->pVar == pCube2->pVar );
pPair = MEM_ALLOC_FXU( p, Fxu_Pair, 1 );
memset( pPair, 0, sizeof(Fxu_Pair) );
pPair->pCube1 = pCube1;
pPair->pCube2 = pCube2;
pPair->iCube1 = pCube1->iCube;
pPair->iCube2 = pCube2->iCube;
return pPair;
}
/**Function*************************************************************
Synopsis [Adds the pair to storage.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fxu_PairAdd( Fxu_Pair * pPair )
{
Fxu_Var * pVar;
pVar = pPair->pCube1->pVar;
assert( pVar == pPair->pCube2->pVar );
pVar->ppPairs[pPair->iCube1][pPair->iCube2] = pPair;
pVar->ppPairs[pPair->iCube2][pPair->iCube1] = pPair;
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
|