Commit 3ba93e3b by Alan Mishchenko

Exploration of functions.

parent 416f300d
......@@ -426,7 +426,7 @@ void Abc_EnumerateFunctions( int nDecMax )
SeeAlso []
***********************************************************************/
#define ABC_ENUM_MAX 32
#define ABC_ENUM_MAX 16
static word s_Truths6[6] = {
ABC_CONST(0xAAAAAAAAAAAAAAAA),
ABC_CONST(0xCCCCCCCCCCCCCCCC),
......@@ -441,6 +441,7 @@ struct Abc_EnuMan_t_
int nVars; // support size
int nVarsFree; // number of PIs used
int fVerbose; // verbose flag
int fUseXor; // using XOR gate
int nNodeMax; // the max number of nodes
int nNodes; // current number of gates
int nTops; // the number of fanoutless gates
......@@ -448,16 +449,14 @@ struct Abc_EnuMan_t_
int pFans1[ABC_ENUM_MAX]; // fanins
int fCompl0[ABC_ENUM_MAX]; // complements
int fCompl1[ABC_ENUM_MAX]; // complements
int Polar[ABC_ENUM_MAX]; // polarity
int pRefs[ABC_ENUM_MAX]; // references
int pLevel[ABC_ENUM_MAX]; // level
word pTruths[ABC_ENUM_MAX]; // truth tables
word nTries; // attempts to build a gate
word nBuilds; // actually built gates
word nFinished; // finished structures
};
static inline int Abc_EnumEquiv( word a, word b )
{
return a == b || a == ~b;
}
static inline void Abc_EnumRef( Abc_EnuMan_t * p, int i )
{
assert( p->pRefs[i] >= 0 );
......@@ -491,151 +490,182 @@ static inline void Abc_EnumPrintOne( Abc_EnuMan_t * p )
int i;
Kit_DsdPrintFromTruth( (unsigned *)(p->pTruths + p->nNodes - 1), p->nVars );
for ( i = p->nVars; i < p->nNodes; i++ )
printf( " %c=%s%c%s%c", 'a'+i, p->fCompl0[i]?"!":"", 'a'+p->pFans0[i], p->fCompl1[i]?"!":"", 'a'+p->pFans1[i] );
if ( p->Polar[i] == 4 )
printf( " %c=%c+%c", 'a'+i, 'a'+p->pFans0[i], 'a'+p->pFans1[i] );
else
printf( " %c=%s%c%s%c", 'a'+i, p->fCompl0[i]?"!":"", 'a'+p->pFans0[i], p->fCompl1[i]?"!":"", 'a'+p->pFans1[i] );
printf( "\n" );
}
void Abc_EnumerateFuncs_rec( Abc_EnuMan_t * p )
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Abc_EnumEquiv( word a, word b )
{
return a == b || a == ~b;
}
static inline int Abc_EnumerateFilter( Abc_EnuMan_t * p )
{
word uTruth;
word * pTruth = p->pTruths;
int f = p->nVarsFree;
int fUseFull = 1;
int n = p->nNodes;
int i, k, c0, c1, t, a, b;
p->nBuilds++;
// terminate when enough and no new tops
if ( n == p->nNodeMax && p->nTops == 1 )
int i = p->pFans0[n];
int k = p->pFans1[n], t;
word * pTruths = p->pTruths;
word uTruth = pTruths[n];
assert( i < k );
// skip constants
if ( Abc_EnumEquiv(uTruth, 0) )
return 1;
// skip equal ones
for ( t = 0; t < n; t++ )
if ( Abc_EnumEquiv(uTruth, pTruths[t]) )
return 1;
if ( fUseFull )
{
if ( p->fVerbose )
Abc_EnumPrintOne( p );
p->nFinished++;
return;
// skip those that can be derived by any pair
int a, b;
for ( a = 0; a <= i; a++ )
for ( b = a + 1; b <= k; b++ )
{
if ( a == i && b == k )
continue;
if ( Abc_EnumEquiv(uTruth, pTruths[a] & pTruths[b]) )
return 1;
if ( Abc_EnumEquiv(uTruth, pTruths[a] & ~pTruths[b]) )
return 1;
if ( Abc_EnumEquiv(uTruth, ~pTruths[a] & pTruths[b]) )
return 1;
if ( Abc_EnumEquiv(uTruth, ~pTruths[a] & ~pTruths[b]) )
return 1;
if ( p->fUseXor && Abc_EnumEquiv(uTruth, pTruths[a] ^ pTruths[b]) )
return 1;
}
}
if ( p->nTops > p->nNodeMax - n + 1 )
return;
assert( n < p->nNodeMax );
// try new gates with two inputs
if ( f >= 2 )
else
{
p->pFans0[n] = f - 2;
p->pFans1[n] = f - 1;
p->fCompl0[n] = 0;
p->fCompl1[n] = 0;
p->pTruths[n] = pTruth[f - 2] & pTruth[f - 1];
p->nVarsFree -= 2;
Abc_EnumRefNode( p, n );
Abc_EnumerateFuncs_rec( p );
Abc_EnumDerefNode( p, n );
p->nVarsFree += 2;
return;
// skip those that can be derived by fanin and any other one in the cone
int uTruthI = p->fCompl0[n] ? ~pTruths[i] : pTruths[i];
int uTruthK = p->fCompl1[n] ? ~pTruths[k] : pTruths[k];
assert( p->fUseXor == 0 );
for ( t = 0; t < k; t++ )
if ( Abc_EnumEquiv(uTruth, pTruths[t] & uTruthI) || Abc_EnumEquiv(uTruth, ~pTruths[t] & uTruthI) )
return 1;
for ( t = 0; t < i; t++ )
if ( Abc_EnumEquiv(uTruth, pTruths[t] & uTruthK) || Abc_EnumEquiv(uTruth, ~pTruths[t] & uTruthK) )
return 1;
}
// try new gates with one input
if ( f > 0 )
return 0;
}
void Abc_EnumerateFuncs_rec( Abc_EnuMan_t * p, int fNew, int iNode1st ) // the first node on the last level
{
if ( p->nNodes == p->nNodeMax )
{
for ( i = f; i < n; i++ )
for ( c0 = 0; c0 < 2; c0++ )
{
uTruth = pTruth[f - 1] & (c0 ? ~pTruth[i] : pTruth[i]);
p->pFans0[n] = f - 1;
p->pFans1[n] = i;
p->fCompl0[n] = 0;
p->fCompl1[n] = c0;
p->pTruths[n] = uTruth;
p->nVarsFree--;
Abc_EnumRefNode( p, n );
Abc_EnumerateFuncs_rec( p );
Abc_EnumDerefNode( p, n );
p->nVarsFree++;
}
assert( p->nTops == 1 );
if ( p->fVerbose )
Abc_EnumPrintOne( p );
p->nFinished++;
return;
}
// try new gates without inputs
for ( i = f; i < n; i++ )
for ( k = i+1; k < n; k++ )
for ( c0 = 0; c0 < 2; c0++ )
for ( c1 = 0; c1 < 2; c1++ )
{
uTruth = (c0 ? ~pTruth[i] : pTruth[i]) & (c1 ? ~pTruth[k] : pTruth[k]);
// skip constants
if ( uTruth == 0 || ~uTruth == 0 )
continue;
// skip equal ones
for ( t = f; t < n; t++ )
if ( uTruth == p->pTruths[t] || ~uTruth == p->pTruths[t] )
break;
if ( t < n )
continue;
// skip those that can be derived by fanin and any other one in the cone
for ( a = f; a < i; a++ )
if ( Abc_EnumEquiv(uTruth, p->pTruths[a] & p->pTruths[k]) || Abc_EnumEquiv(uTruth, ~p->pTruths[a] & p->pTruths[k]) )
break;
if ( a < i )
continue;
for ( b = f; b < k; b++ )
if ( Abc_EnumEquiv(uTruth, p->pTruths[b] & p->pTruths[i]) || Abc_EnumEquiv(uTruth, ~p->pTruths[b] & p->pTruths[i]) )
break;
if ( b < k )
int i, k, c, cLim = 4 + p->fUseXor, n = p->nNodes;
int nRefedFans = p->nNodeMax - n + 1 - p->nTops;
int high0 = fNew ? iNode1st : p->pFans1[n-1];
int high1 = fNew ? n : iNode1st;
int low0 = fNew ? 0 : p->pFans0[n-1];
int c0 = fNew ? 0 : p->Polar[n-1];
int Level = p->pLevel[high0];
assert( p->nTops > 0 && p->nTops <= p->nNodeMax - n + 1 );
// go through nodes
for ( k = high0; k < high1; k++ )
{
if ( nRefedFans == 0 && p->pRefs[k] > 0 )
continue;
/*
// skip those that can be derived by any two in the cone, except the top ones
for ( a = f; a <= i; a++ )
if ( p->pRefs[k] > 0 )
nRefedFans--;
assert( nRefedFans >= 0 );
// try second fanin
for ( i = (k == high0) ? low0 : 0; i < k; i++ )
{
word uTemp;
for ( b = a + 1; b <= k; b++ )
if ( nRefedFans == 0 && p->pRefs[i] > 0 )
continue;
if ( Level == 0 && p->pRefs[i] == 0 && p->pRefs[k] == 0 && (i+1 != k || (i > 0 && p->pRefs[i-1] == 0)) ) // NPN
continue;
if ( p->pLevel[k] == 0 && p->pRefs[k] == 0 && p->pRefs[i] != 0 && k > 0 && p->pRefs[k-1] == 0 ) // NPN
continue;
// if ( p->pLevel[i] == 0 && p->pRefs[i] == 0 && p->pRefs[k] != 0 && i > 0 && p->pRefs[i-1] == 0 ) // NPN
// continue;
// try four polarities
for ( c = (k == high0 && i == low0 && !fNew) ? c0 + 1 : 0; c < cLim; c++ )
{
if ( a == i && b == k )
if ( p->pLevel[i] == 0 && p->pRefs[i] == 0 && (c & 1) == 1 ) // NPN
continue;
if ( p->pLevel[k] == 0 && p->pRefs[k] == 0 && (c & 2) == 2 ) // NPN
continue;
p->nTries++;
// create node
assert( i < k );
p->pFans0[n] = i;
p->pFans1[n] = k;
p->fCompl0[n] = c & 1;
p->fCompl1[n] = (c >> 1) & 1;
p->Polar[n] = c;
if ( c == 4 )
p->pTruths[n] = p->pTruths[i] ^ p->pTruths[k];
else
p->pTruths[n] = ((c & 1) ? ~p->pTruths[i] : p->pTruths[i]) & ((c & 2) ? ~p->pTruths[k] : p->pTruths[k]);
if ( Abc_EnumerateFilter(p) )
continue;
uTemp = p->pTruths[a] & p->pTruths[b];
if ( uTruth == uTemp || ~uTruth == uTemp )
break;
uTemp = p->pTruths[a] & ~p->pTruths[b];
if ( uTruth == uTemp || ~uTruth == uTemp )
break;
uTemp = ~p->pTruths[a] & p->pTruths[b];
if ( uTruth == uTemp || ~uTruth == uTemp )
break;
uTemp = ~p->pTruths[a] & ~p->pTruths[b];
if ( uTruth == uTemp || ~uTruth == uTemp )
break;
p->nBuilds++;
assert( Level == Abc_MaxInt(p->pLevel[i], p->pLevel[k]) );
p->pLevel[n] = Level + 1;
Abc_EnumRefNode( p, n );
Abc_EnumerateFuncs_rec( p, 0, fNew ? n : iNode1st );
Abc_EnumDerefNode( p, n );
assert( n == p->nNodes );
}
if ( b <= k )
break;
}
if ( a <= i )
continue;
*/
p->pFans0[n] = i;
p->pFans1[n] = k;
p->fCompl0[n] = c0;
p->fCompl1[n] = c1;
p->pTruths[n] = uTruth;
Abc_EnumRefNode( p, n );
Abc_EnumerateFuncs_rec( p );
Abc_EnumDerefNode( p, n );
if ( p->pRefs[k] > 0 )
nRefedFans++;
}
if ( fNew )
return;
// start a new level
Abc_EnumerateFuncs_rec( p, 1, iNode1st );
}
}
void Abc_EnumerateFuncs( int nVars, int nGates, int fVerbose )
{
abctime clk = Abc_Clock();
Abc_EnuMan_t P, * p = &P; int i;
Abc_EnuMan_t P, * p = &P;
int i, n = nVars;
if ( nVars > nGates + 1 )
{
printf( "The gate count %d is not enough to have functions with %d inputs.\n", nGates, nVars );
return;
}
assert( nVars >= 3 && nVars <= 6 );
assert( nGates > 0 && nVars + nGates < 16 );
assert( nVars >= 2 && nVars <= 6 );
assert( nGates > 0 && nVars + nGates < ABC_ENUM_MAX );
memset( p, 0, sizeof(Abc_EnuMan_t) );
p->fVerbose = fVerbose;
p->fUseXor = 1;
p->nVars = nVars;
p->nVarsFree = nVars;
p->nNodeMax = nVars + nGates;
p->nNodes = nVars;
p->nTops = nVars;
for ( i = 0; i < nVars; i++ )
p->pTruths[i] = s_Truths6[i];
Abc_EnumerateFuncs_rec( p );
Abc_EnumerateFuncs_rec( p, 1, 0 );
assert( p->nNodes == nVars );
assert( p->nTops == nVars );
// report statistics
printf( "Vars = %d. Gates = %d. Tries = %u. Builds = %u. Finished = %d. ",
nVars, nGates, (unsigned)p->nTries, (unsigned)p->nBuilds, (unsigned)p->nFinished );
Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
......
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