/**CFile**************************************************************** FileName [abcQbf.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [Network and node package.] Synopsis [Implementation of a simple QBF solver.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - June 20, 2005.] Revision [$Id: abcQbf.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $] ***********************************************************************/ #include "base/abc/abc.h" #include "sat/cnf/cnf.h" ABC_NAMESPACE_IMPL_START /* Implementation of a simple QBF solver along the lines of A. Solar-Lezama, L. Tancau, R. Bodik, V. Saraswat, and S. Seshia, "Combinatorial sketching for finite programs", 12th International Conference on Architectural Support for Programming Languages and Operating Systems (ASPLOS 2006), San Jose, CA, October 2006. */ //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// static void Abc_NtkModelToVector( Abc_Ntk_t * pNtk, Vec_Int_t * vPiValues ); static void Abc_NtkVectorClearPars( Vec_Int_t * vPiValues, int nPars ); static void Abc_NtkVectorClearVars( Abc_Ntk_t * pNtk, Vec_Int_t * vPiValues, int nPars ); static void Abc_NtkVectorPrintPars( Vec_Int_t * vPiValues, int nPars ); static void Abc_NtkVectorPrintVars( Abc_Ntk_t * pNtk, Vec_Int_t * vPiValues, int nPars ); extern int Abc_NtkDSat( Abc_Ntk_t * pNtk, ABC_INT64_T nConfLimit, ABC_INT64_T nInsLimit, int nLearnedStart, int nLearnedDelta, int nLearnedPerce, int fAlignPol, int fAndOuts, int fNewSolver, int fVerbose ); //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Solve the QBF problem EpAx[M(p,x)].] Description [Variables p go first, followed by variable x. The number of parameters is nPars. The miter is in pNtk. The miter expresses EQUALITY of the implementation and spec.] SideEffects [] SeeAlso [] ***********************************************************************/ void Abc_NtkQbf( Abc_Ntk_t * pNtk, int nPars, int nItersMax, int fDumpCnf, int fVerbose ) { Abc_Ntk_t * pNtkVer, * pNtkSyn, * pNtkSyn2, * pNtkTemp; Vec_Int_t * vPiValues; abctime clkTotal = Abc_Clock(), clkS, clkV; int nIters, nInputs, RetValue, fFound = 0; assert( Abc_NtkIsStrash(pNtk) ); assert( Abc_NtkIsComb(pNtk) ); assert( Abc_NtkPoNum(pNtk) == 1 ); assert( nPars > 0 && nPars < Abc_NtkPiNum(pNtk) ); // assert( Abc_NtkPiNum(pNtk)-nPars < 32 ); nInputs = Abc_NtkPiNum(pNtk) - nPars; if ( fDumpCnf ) { // original problem: \exists p \forall x \exists y. M(p,x,y) // negated problem: \forall p \exists x \exists y. !M(p,x,y) extern Aig_Man_t * Abc_NtkToDar( Abc_Ntk_t * pNtk, int fExors, int fRegisters ); Aig_Man_t * pMan = Abc_NtkToDar( pNtk, 0, 0 ); Cnf_Dat_t * pCnf = Cnf_Derive( pMan, 0 ); Vec_Int_t * vVarMap, * vForAlls, * vExists; Aig_Obj_t * pObj; char * pFileName; int i, Entry; // create var map vVarMap = Vec_IntStart( pCnf->nVars ); Aig_ManForEachCi( pMan, pObj, i ) if ( i < nPars ) Vec_IntWriteEntry( vVarMap, pCnf->pVarNums[Aig_ObjId(pObj)], 1 ); // create various maps vForAlls = Vec_IntAlloc( nPars ); vExists = Vec_IntAlloc( Abc_NtkPiNum(pNtk) - nPars ); Vec_IntForEachEntry( vVarMap, Entry, i ) if ( Entry ) Vec_IntPush( vForAlls, i ); else Vec_IntPush( vExists, i ); // generate CNF pFileName = Extra_FileNameGenericAppend( pNtk->pSpec, ".qdimacs" ); Cnf_DataWriteIntoFile( pCnf, pFileName, 0, vForAlls, vExists ); Aig_ManStop( pMan ); Cnf_DataFree( pCnf ); Vec_IntFree( vForAlls ); Vec_IntFree( vExists ); Vec_IntFree( vVarMap ); printf( "The 2QBF formula was written into file \"%s\".\n", pFileName ); return; } // initialize the synthesized network with 0000-combination vPiValues = Vec_IntStart( Abc_NtkPiNum(pNtk) ); // create random init value { int i; srand( time(NULL) ); for ( i = nPars; i < Abc_NtkPiNum(pNtk); i++ ) Vec_IntWriteEntry( vPiValues, i, rand() & 1 ); } Abc_NtkVectorClearPars( vPiValues, nPars ); pNtkSyn = Abc_NtkMiterCofactor( pNtk, vPiValues ); if ( fVerbose ) { printf( "Iter %2d : ", 0 ); printf( "AIG = %6d ", Abc_NtkNodeNum(pNtkSyn) ); Abc_NtkVectorPrintVars( pNtk, vPiValues, nPars ); printf( "\n" ); } // iteratively solve for ( nIters = 0; nIters < nItersMax; nIters++ ) { // solve the synthesis instance clkS = Abc_Clock(); // RetValue = Abc_NtkMiterSat( pNtkSyn, 0, 0, 0, NULL, NULL ); RetValue = Abc_NtkDSat( pNtkSyn, (ABC_INT64_T)0, (ABC_INT64_T)0, 0, 0, 0, 1, 0, 0, 0 ); clkS = Abc_Clock() - clkS; if ( RetValue == 0 ) Abc_NtkModelToVector( pNtkSyn, vPiValues ); if ( RetValue == 1 ) { break; } if ( RetValue == -1 ) { printf( "Synthesis timed out.\n" ); break; } // there is a counter-example // construct the verification instance Abc_NtkVectorClearVars( pNtk, vPiValues, nPars ); pNtkVer = Abc_NtkMiterCofactor( pNtk, vPiValues ); // complement the output Abc_ObjXorFaninC( Abc_NtkPo(pNtkVer,0), 0 ); // solve the verification instance clkV = Abc_Clock(); RetValue = Abc_NtkMiterSat( pNtkVer, 0, 0, 0, NULL, NULL ); clkV = Abc_Clock() - clkV; if ( RetValue == 0 ) Abc_NtkModelToVector( pNtkVer, vPiValues ); Abc_NtkDelete( pNtkVer ); if ( RetValue == 1 ) { fFound = 1; break; } if ( RetValue == -1 ) { printf( "Verification timed out.\n" ); break; } // there is a counter-example // create a new synthesis network Abc_NtkVectorClearPars( vPiValues, nPars ); pNtkSyn2 = Abc_NtkMiterCofactor( pNtk, vPiValues ); // add to the synthesis instance pNtkSyn = Abc_NtkMiterAnd( pNtkTemp = pNtkSyn, pNtkSyn2, 0, 0 ); Abc_NtkDelete( pNtkSyn2 ); Abc_NtkDelete( pNtkTemp ); if ( fVerbose ) { printf( "Iter %2d : ", nIters+1 ); printf( "AIG = %6d ", Abc_NtkNodeNum(pNtkSyn) ); Abc_NtkVectorPrintVars( pNtk, vPiValues, nPars ); printf( " " ); ABC_PRT( "Syn", clkS ); // ABC_PRT( "Ver", clkV ); } if ( nIters+1 == nItersMax ) break; } Abc_NtkDelete( pNtkSyn ); // report the results if ( fFound ) { printf( "Parameters: " ); Abc_NtkVectorPrintPars( vPiValues, nPars ); printf( "\n" ); printf( "Solved after %d interations. ", nIters ); } else if ( nIters == nItersMax ) printf( "Unsolved after %d interations. ", nIters ); else if ( nIters == nItersMax ) printf( "Quit after %d interatios. ", nItersMax ); else printf( "Implementation does not exist. " ); ABC_PRT( "Total runtime", Abc_Clock() - clkTotal ); Vec_IntFree( vPiValues ); } /**Function************************************************************* Synopsis [Translates model into the vector of values.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Abc_NtkModelToVector( Abc_Ntk_t * pNtk, Vec_Int_t * vPiValues ) { int * pModel, i; pModel = pNtk->pModel; for ( i = 0; i < Abc_NtkPiNum(pNtk); i++ ) Vec_IntWriteEntry( vPiValues, i, pModel[i] ); } /**Function************************************************************* Synopsis [Clears parameters.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Abc_NtkVectorClearPars( Vec_Int_t * vPiValues, int nPars ) { int i; for ( i = 0; i < nPars; i++ ) Vec_IntWriteEntry( vPiValues, i, -1 ); } /**Function************************************************************* Synopsis [Clears variables.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Abc_NtkVectorClearVars( Abc_Ntk_t * pNtk, Vec_Int_t * vPiValues, int nPars ) { int i; for ( i = nPars; i < Abc_NtkPiNum(pNtk); i++ ) Vec_IntWriteEntry( vPiValues, i, -1 ); } /**Function************************************************************* Synopsis [Clears variables.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Abc_NtkVectorPrintPars( Vec_Int_t * vPiValues, int nPars ) { int i; for ( i = 0; i < nPars; i++ ) printf( "%d", Vec_IntEntry(vPiValues,i) ); } /**Function************************************************************* Synopsis [Clears variables.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Abc_NtkVectorPrintVars( Abc_Ntk_t * pNtk, Vec_Int_t * vPiValues, int nPars ) { int i; for ( i = nPars; i < Abc_NtkPiNum(pNtk); i++ ) printf( "%d", Vec_IntEntry(vPiValues,i) ); } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// //////////////////////////////////////////////////////////////////////// ABC_NAMESPACE_IMPL_END