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/**CFile****************************************************************
FileName [aigRepar.c]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [AIG package.]
Synopsis [Interpolation-based reparametrization.]
Author [Alan Mishchenko]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - April 28, 2007.]
Revision [$Id: aigRepar.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $]
***********************************************************************/
#include "aig.h"
#include "sat/cnf/cnf.h"
#include "sat/bsat/satSolver2.h"
ABC_NAMESPACE_IMPL_START
////////////////////////////////////////////////////////////////////////
/// DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
/**Function*************************************************************
Synopsis [Adds buffer to the solver.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline void Aig_ManInterAddBuffer( sat_solver2 * pSat, int iVarA, int iVarB, int fCompl, int fMark )
{
lit Lits[2];
int Cid;
assert( iVarA >= 0 && iVarB >= 0 );
Lits[0] = toLitCond( iVarA, 0 );
Lits[1] = toLitCond( iVarB, !fCompl );
Cid = sat_solver2_addclause( pSat, Lits, Lits + 2, 0 );
if ( fMark )
clause2_set_partA( pSat, Cid, 1 );
Lits[0] = toLitCond( iVarA, 1 );
Lits[1] = toLitCond( iVarB, fCompl );
Cid = sat_solver2_addclause( pSat, Lits, Lits + 2, 0 );
if ( fMark )
clause2_set_partA( pSat, Cid, 1 );
}
/**Function*************************************************************
Synopsis [Adds constraints for the two-input AND-gate.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline void Aig_ManInterAddXor( sat_solver2 * pSat, int iVarA, int iVarB, int iVarC, int fCompl, int fMark )
{
lit Lits[3];
int Cid;
assert( iVarA >= 0 && iVarB >= 0 && iVarC >= 0 );
Lits[0] = toLitCond( iVarA, !fCompl );
Lits[1] = toLitCond( iVarB, 1 );
Lits[2] = toLitCond( iVarC, 1 );
Cid = sat_solver2_addclause( pSat, Lits, Lits + 3, 0 );
if ( fMark )
clause2_set_partA( pSat, Cid, 1 );
Lits[0] = toLitCond( iVarA, !fCompl );
Lits[1] = toLitCond( iVarB, 0 );
Lits[2] = toLitCond( iVarC, 0 );
Cid = sat_solver2_addclause( pSat, Lits, Lits + 3, 0 );
if ( fMark )
clause2_set_partA( pSat, Cid, 1 );
Lits[0] = toLitCond( iVarA, fCompl );
Lits[1] = toLitCond( iVarB, 1 );
Lits[2] = toLitCond( iVarC, 0 );
Cid = sat_solver2_addclause( pSat, Lits, Lits + 3, 0 );
if ( fMark )
clause2_set_partA( pSat, Cid, 1 );
Lits[0] = toLitCond( iVarA, fCompl );
Lits[1] = toLitCond( iVarB, 0 );
Lits[2] = toLitCond( iVarC, 1 );
Cid = sat_solver2_addclause( pSat, Lits, Lits + 3, 0 );
if ( fMark )
clause2_set_partA( pSat, Cid, 1 );
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Aig_ManInterTest( Aig_Man_t * pMan, int fVerbose )
{
sat_solver2 * pSat;
// Aig_Man_t * pInter;
word * pInter;
Vec_Int_t * vVars;
Cnf_Dat_t * pCnf;
Aig_Obj_t * pObj;
int Lit, Cid, Var, status, i;
clock_t clk = clock();
assert( Aig_ManRegNum(pMan) == 0 );
assert( Aig_ManCoNum(pMan) == 1 );
// derive CNFs
pCnf = Cnf_Derive( pMan, 1 );
// start the solver
pSat = sat_solver2_new();
sat_solver2_setnvars( pSat, 2*pCnf->nVars+1 );
// set A-variables (all used except PI/PO)
Aig_ManForEachObj( pMan, pObj, i )
{
if ( pCnf->pVarNums[pObj->Id] < 0 )
continue;
if ( !Aig_ObjIsCi(pObj) && !Aig_ObjIsCo(pObj) )
var_set_partA( pSat, pCnf->pVarNums[pObj->Id], 1 );
}
// add clauses of A
for ( i = 0; i < pCnf->nClauses; i++ )
{
Cid = sat_solver2_addclause( pSat, pCnf->pClauses[i], pCnf->pClauses[i+1], 0 );
clause2_set_partA( pSat, Cid, 1 );
}
// add clauses of B
Cnf_DataLift( pCnf, pCnf->nVars );
for ( i = 0; i < pCnf->nClauses; i++ )
sat_solver2_addclause( pSat, pCnf->pClauses[i], pCnf->pClauses[i+1], 0 );
Cnf_DataLift( pCnf, -pCnf->nVars );
// add PI equality clauses
vVars = Vec_IntAlloc( Aig_ManCoNum(pMan)+1 );
Aig_ManForEachCi( pMan, pObj, i )
{
if ( Aig_ObjRefs(pObj) == 0 )
continue;
Var = pCnf->pVarNums[pObj->Id];
Aig_ManInterAddBuffer( pSat, Var, pCnf->nVars + Var, 0, 0 );
Vec_IntPush( vVars, Var );
}
// add an XOR clause in the end
Var = pCnf->pVarNums[Aig_ManCo(pMan,0)->Id];
Aig_ManInterAddXor( pSat, Var, pCnf->nVars + Var, 2*pCnf->nVars, 0, 0 );
Vec_IntPush( vVars, Var );
// solve the problem
Lit = toLitCond( 2*pCnf->nVars, 0 );
status = sat_solver2_solve( pSat, &Lit, &Lit + 1, 0, 0, 0, 0 );
assert( status == l_False );
Sat_Solver2PrintStats( stdout, pSat );
// derive interpolant
// pInter = Sat_ProofInterpolant( pSat, vVars );
// Aig_ManPrintStats( pInter );
// Aig_ManDumpBlif( pInter, "int.blif", NULL, NULL );
//pInter = Sat_ProofInterpolantTruth( pSat, vVars );
pInter = NULL;
// Extra_PrintHex( stdout, pInter, Vec_IntSize(vVars) ); printf( "\n" );
// clean up
// Aig_ManStop( pInter );
ABC_FREE( pInter );
Vec_IntFree( vVars );
Cnf_DataFree( pCnf );
sat_solver2_delete( pSat );
ABC_PRT( "Total interpolation time", clock() - clk );
}
/**Function*************************************************************
Synopsis [Duplicates AIG while mapping PIs into the given array.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Aig_ManAppend( Aig_Man_t * pBase, Aig_Man_t * pNew )
{
Aig_Obj_t * pObj;
int i;
assert( Aig_ManCoNum(pNew) == 1 );
assert( Aig_ManCiNum(pNew) == Aig_ManCiNum(pBase) );
// create the PIs
Aig_ManCleanData( pNew );
Aig_ManConst1(pNew)->pData = Aig_ManConst1(pBase);
Aig_ManForEachCi( pNew, pObj, i )
pObj->pData = Aig_IthVar(pBase, i);
// duplicate internal nodes
Aig_ManForEachNode( pNew, pObj, i )
pObj->pData = Aig_And( pBase, Aig_ObjChild0Copy(pObj), Aig_ObjChild1Copy(pObj) );
// add one PO to base
pObj = Aig_ManCo( pNew, 0 );
Aig_ObjCreateCo( pBase, Aig_ObjChild0Copy(pObj) );
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Aig_Man_t * Aig_ManInterRepar( Aig_Man_t * pMan, int fVerbose )
{
Aig_Man_t * pAigTemp, * pInter, * pBase = NULL;
sat_solver2 * pSat;
Vec_Int_t * vVars;
Cnf_Dat_t * pCnf, * pCnfInter;
Aig_Obj_t * pObj;
int nOuts = Aig_ManCoNum(pMan);
int ShiftP[2], ShiftCnf[2], ShiftOr[2], ShiftAssume;
int Cid, Lit, status, i, k, c;
clock_t clk = clock();
assert( Aig_ManRegNum(pMan) == 0 );
// derive CNFs
pCnf = Cnf_Derive( pMan, nOuts );
// start the solver
pSat = sat_solver2_new();
sat_solver2_setnvars( pSat, 4*pCnf->nVars + 6*nOuts );
// vars: pGlobal + (p0 + A1 + A2 + or0) + (p1 + B1 + B2 + or1) + pAssume;
ShiftP[0] = nOuts;
ShiftP[1] = 2*pCnf->nVars + 3*nOuts;
ShiftCnf[0] = ShiftP[0] + nOuts;
ShiftCnf[1] = ShiftP[1] + nOuts;
ShiftOr[0] = ShiftCnf[0] + 2*pCnf->nVars;
ShiftOr[1] = ShiftCnf[1] + 2*pCnf->nVars;
ShiftAssume = ShiftOr[1] + nOuts;
assert( ShiftAssume + nOuts == pSat->size );
// mark variables of A
for ( i = ShiftCnf[0]; i < ShiftP[1]; i++ )
var_set_partA( pSat, i, 1 );
// add clauses of A, then B
vVars = Vec_IntAlloc( 2*nOuts );
for ( k = 0; k < 2; k++ )
{
// copy A1
Cnf_DataLift( pCnf, ShiftCnf[k] );
for ( i = 0; i < pCnf->nClauses; i++ )
{
Cid = sat_solver2_addclause( pSat, pCnf->pClauses[i], pCnf->pClauses[i+1], 0 );
clause2_set_partA( pSat, Cid, k==0 );
}
// add equality p[k] == A1/B1
Aig_ManForEachCo( pMan, pObj, i )
Aig_ManInterAddBuffer( pSat, ShiftP[k] + i, pCnf->pVarNums[pObj->Id], k==1, k==0 );
// copy A2
Cnf_DataLift( pCnf, pCnf->nVars );
for ( i = 0; i < pCnf->nClauses; i++ )
{
Cid = sat_solver2_addclause( pSat, pCnf->pClauses[i], pCnf->pClauses[i+1], 0 );
clause2_set_partA( pSat, Cid, k==0 );
}
// add comparator (!p[k] ^ A2/B2) == or[k]
Vec_IntClear( vVars );
Aig_ManForEachCo( pMan, pObj, i )
{
Aig_ManInterAddXor( pSat, ShiftP[k] + i, pCnf->pVarNums[pObj->Id], ShiftOr[k] + i, k==1, k==0 );
Vec_IntPush( vVars, toLitCond(ShiftOr[k] + i, 1) );
}
Cid = sat_solver2_addclause( pSat, Vec_IntArray(vVars), Vec_IntArray(vVars) + Vec_IntSize(vVars), 0 );
clause2_set_partA( pSat, Cid, k==0 );
// return to normal
Cnf_DataLift( pCnf, -ShiftCnf[k]-pCnf->nVars );
}
// add clauses to constrain p[0] and p[1]
for ( k = 0; k < nOuts; k++ )
Aig_ManInterAddXor( pSat, ShiftP[0] + k, ShiftP[1] + k, ShiftAssume + k, 0, 0 );
// start the interpolant
pBase = Aig_ManStart( 1000 );
pBase->pName = Abc_UtilStrsav( "repar" );
for ( k = 0; k < 2*nOuts; k++ )
Aig_IthVar(pBase, i);
// start global variables (pGlobal and p[0])
Vec_IntClear( vVars );
for ( k = 0; k < 2*nOuts; k++ )
Vec_IntPush( vVars, k );
// perform iterative solving
// vars: pGlobal + (p0 + A1 + A2 + or0) + (p1 + B1 + B2 + or1) + pAssume;
for ( k = 0; k < nOuts; k++ )
{
// swap k-th variables
int Temp = Vec_IntEntry( vVars, k );
Vec_IntWriteEntry( vVars, k, Vec_IntEntry(vVars, nOuts+k) );
Vec_IntWriteEntry( vVars, nOuts+k, Temp );
// solve incrementally
Lit = toLitCond( ShiftAssume + k, 1 ); // XOR output is 0 ==> p1 == p2
status = sat_solver2_solve( pSat, &Lit, &Lit + 1, 0, 0, 0, 0 );
assert( status == l_False );
Sat_Solver2PrintStats( stdout, pSat );
// derive interpolant
pInter = (Aig_Man_t *)Sat_ProofInterpolant( pSat, vVars );
Aig_ManPrintStats( pInter );
// make sure interpolant does not depend on useless vars
Aig_ManForEachCi( pInter, pObj, i )
assert( i <= k || Aig_ObjRefs(pObj) == 0 );
// simplify
pInter = Dar_ManRwsat( pAigTemp = pInter, 1, 0 );
Aig_ManStop( pAigTemp );
// add interpolant to the solver
pCnfInter = Cnf_Derive( pInter, 1 );
Cnf_DataLift( pCnfInter, pSat->size );
sat_solver2_setnvars( pSat, pSat->size + 2*pCnfInter->nVars );
for ( i = 0; i < pCnfInter->nVars; i++ )
var_set_partA( pSat, pSat->size-2*pCnfInter->nVars + i, 1 );
for ( c = 0; c < 2; c++ )
{
if ( c == 1 )
Cnf_DataLift( pCnfInter, pCnfInter->nVars );
// add to A
for ( i = 0; i < pCnfInter->nClauses; i++ )
{
Cid = sat_solver2_addclause( pSat, pCnfInter->pClauses[i], pCnfInter->pClauses[i+1], 0 );
clause2_set_partA( pSat, Cid, c==0 );
}
// connect to the inputs
Aig_ManForEachCi( pInter, pObj, i )
if ( i <= k )
Aig_ManInterAddBuffer( pSat, i, pCnf->pVarNums[pObj->Id], 0, c==0 );
// connect to the outputs
pObj = Aig_ManCo(pInter, 0);
Aig_ManInterAddBuffer( pSat, ShiftP[c] + k, pCnf->pVarNums[pObj->Id], 0, c==0 );
if ( c == 1 )
Cnf_DataLift( pCnfInter, -pCnfInter->nVars );
}
Cnf_DataFree( pCnfInter );
// accumulate
Aig_ManAppend( pBase, pInter );
Aig_ManStop( pInter );
// update global variables
Temp = Vec_IntEntry( vVars, k );
Vec_IntWriteEntry( vVars, k, Vec_IntEntry(vVars, nOuts+k) );
Vec_IntWriteEntry( vVars, nOuts+k, Temp );
}
Vec_IntFree( vVars );
Cnf_DataFree( pCnf );
sat_solver2_delete( pSat );
ABC_PRT( "Reparameterization time", clock() - clk );
return pBase;
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
ABC_NAMESPACE_IMPL_END
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