/**CFile**************************************************************** FileName [bmcICheck.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [SAT-based bounded model checking.] Synopsis [Performs specialized check.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - June 20, 2005.] Revision [$Id: bmcICheck.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $] ***********************************************************************/ #include "bmc.h" #include "sat/cnf/cnf.h" #include "sat/bsat/satStore.h" #include "aig/gia/giaAig.h" ABC_NAMESPACE_IMPL_START //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline Cnf_Dat_t * Cnf_DeriveGiaRemapped( Gia_Man_t * p ) { Cnf_Dat_t * pCnf; Aig_Man_t * pAig = Gia_ManToAigSimple( p ); pAig->nRegs = 0; pCnf = Cnf_Derive( pAig, Aig_ManCoNum(pAig) ); Aig_ManStop( pAig ); return pCnf; } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Cnf_DataLiftGia( Cnf_Dat_t * p, Gia_Man_t * pGia, int nVarsPlus ) { Gia_Obj_t * pObj; int v; Gia_ManForEachObj( pGia, pObj, v ) if ( p->pVarNums[Gia_ObjId(pGia, pObj)] >= 0 ) p->pVarNums[Gia_ObjId(pGia, pObj)] += nVarsPlus; for ( v = 0; v < p->nLiterals; v++ ) p->pClauses[0][v] += 2*nVarsPlus; } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ sat_solver * Bmc_DeriveSolver( Gia_Man_t * p, Gia_Man_t * pMiter, Cnf_Dat_t * pCnf, int nFramesMax, int nTimeOut, int fVerbose ) { sat_solver * pSat; Vec_Int_t * vLits; Gia_Obj_t * pObj, * pObj0, * pObj1; int i, k, iVar0, iVar1, iVarOut; int VarShift = 0; // start the SAT solver pSat = sat_solver_new(); sat_solver_setnvars( pSat, Gia_ManRegNum(p) + Gia_ManCoNum(p) + pCnf->nVars * (nFramesMax + 1) ); sat_solver_set_runtime_limit( pSat, nTimeOut ? nTimeOut * CLOCKS_PER_SEC + Abc_Clock(): 0 ); // add one large OR clause vLits = Vec_IntAlloc( Gia_ManCoNum(p) ); Gia_ManForEachCo( p, pObj, i ) Vec_IntPush( vLits, Abc_Var2Lit(Gia_ManRegNum(p) + i, 0) ); sat_solver_addclause( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits) ); // load the last timeframe Cnf_DataLiftGia( pCnf, pMiter, Gia_ManRegNum(p) + Gia_ManCoNum(p) ); VarShift += Gia_ManRegNum(p) + Gia_ManCoNum(p); // add XOR clauses Gia_ManForEachPo( p, pObj, i ) { pObj0 = Gia_ManPo( pMiter, 2*i+0 ); pObj1 = Gia_ManPo( pMiter, 2*i+1 ); iVar0 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj0)]; iVar1 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj1)]; iVarOut = Gia_ManRegNum(p) + i; sat_solver_add_xor( pSat, iVar0, iVar1, iVarOut, 0 ); } Gia_ManForEachRi( p, pObj, i ) { pObj0 = Gia_ManRi( pMiter, i ); pObj1 = Gia_ManRi( pMiter, i + Gia_ManRegNum(p) ); iVar0 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj0)]; iVar1 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj1)]; iVarOut = Gia_ManRegNum(p) + Gia_ManPoNum(p) + i; sat_solver_add_xor_and( pSat, iVarOut, iVar0, iVar1, i ); } // add timeframe clauses for ( i = 0; i < pCnf->nClauses; i++ ) if ( !sat_solver_addclause( pSat, pCnf->pClauses[i], pCnf->pClauses[i+1] ) ) assert( 0 ); // add other timeframes for ( k = 0; k < nFramesMax; k++ ) { // collect variables of the RO nodes Vec_IntClear( vLits ); Gia_ManForEachRo( pMiter, pObj, i ) Vec_IntPush( vLits, pCnf->pVarNums[Gia_ObjId(pMiter, pObj)] ); // lift CNF again Cnf_DataLiftGia( pCnf, pMiter, pCnf->nVars ); VarShift += pCnf->nVars; // stitch the clauses Gia_ManForEachRi( pMiter, pObj, i ) { iVar0 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj)]; iVar1 = Vec_IntEntry( vLits, i ); if ( iVar1 == -1 ) continue; sat_solver_add_buffer( pSat, iVar0, iVar1, 0 ); } // add equality clauses for the COs Gia_ManForEachPo( p, pObj, i ) { pObj0 = Gia_ManPo( pMiter, 2*i+0 ); pObj1 = Gia_ManPo( pMiter, 2*i+1 ); iVar0 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj0)]; iVar1 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj1)]; sat_solver_add_buffer( pSat, iVar0, iVar1, 0 ); } Gia_ManForEachRi( p, pObj, i ) { pObj0 = Gia_ManRi( pMiter, i ); pObj1 = Gia_ManRi( pMiter, i + Gia_ManRegNum(p) ); iVar0 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj0)]; iVar1 = pCnf->pVarNums[Gia_ObjId(pMiter, pObj1)]; sat_solver_add_buffer_enable( pSat, iVar0, iVar1, i, 0 ); } // add timeframe clauses for ( i = 0; i < pCnf->nClauses; i++ ) if ( !sat_solver_addclause( pSat, pCnf->pClauses[i], pCnf->pClauses[i+1] ) ) assert( 0 ); } // sat_solver_compress( pSat ); Cnf_DataLiftGia( pCnf, pMiter, -VarShift ); Vec_IntFree( vLits ); return pSat; } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Bmc_PerformICheck( Gia_Man_t * p, int nFramesMax, int nTimeOut, int fEmpty, int fVerbose ) { int fUseOldCnf = 0; Gia_Man_t * pMiter, * pTemp; Cnf_Dat_t * pCnf; sat_solver * pSat; Vec_Int_t * vLits, * vUsed; int i, status, Lit; int nLitsUsed, nLits, * pLits; abctime clkStart = Abc_Clock(); assert( nFramesMax > 0 ); assert( Gia_ManRegNum(p) > 0 ); if ( fVerbose ) printf( "Solving M-inductiveness for design %s with %d AND nodes and %d flip-flops:\n", Gia_ManName(p), Gia_ManAndNum(p), Gia_ManRegNum(p) ); // create miter pTemp = Gia_ManDup( p ); pMiter = Gia_ManMiter( p, pTemp, 0, 1, 1, 0, 0 ); Gia_ManStop( pTemp ); assert( Gia_ManPoNum(pMiter) == 2 * Gia_ManPoNum(p) ); assert( Gia_ManRegNum(pMiter) == 2 * Gia_ManRegNum(p) ); // derive CNF if ( fUseOldCnf ) pCnf = Cnf_DeriveGiaRemapped( pMiter ); else { pMiter = Jf_ManDeriveCnf( pTemp = pMiter, 0 ); Gia_ManStop( pTemp ); pCnf = (Cnf_Dat_t *)pMiter->pData; pMiter->pData = NULL; } // collect positive literals vLits = Vec_IntAlloc( Gia_ManCoNum(p) ); for ( i = 0; i < Gia_ManRegNum(p); i++ ) Vec_IntPush( vLits, Abc_Var2Lit(i, fEmpty) ); // iteratively compute a minimal M-inductive set of next-state functions nLitsUsed = fEmpty ? 0 : Vec_IntSize(vLits); vUsed = Vec_IntAlloc( Vec_IntSize(vLits) ); while ( 1 ) { int fChanges = 0; // derive SAT solver pSat = Bmc_DeriveSolver( p, pMiter, pCnf, nFramesMax, nTimeOut, fVerbose ); // sat_solver_bookmark( pSat ); status = sat_solver_solve( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits), (ABC_INT64_T)0, (ABC_INT64_T)0, (ABC_INT64_T)0, (ABC_INT64_T)0 ); if ( status == l_Undef ) { printf( "Timeout reached after %d seconds.\n", nTimeOut ); break; } if ( status == l_True ) { printf( "The problem is satisfiable (the current set is not M-inductive).\n" ); break; } assert( status == l_False ); // call analize_final nLits = sat_solver_final( pSat, &pLits ); // mark used literals Vec_IntFill( vUsed, Vec_IntSize(vLits), 0 ); for ( i = 0; i < nLits; i++ ) Vec_IntWriteEntry( vUsed, Abc_Lit2Var(pLits[i]), 1 ); // check if there are any positive unused Vec_IntForEachEntry( vLits, Lit, i ) { assert( i == Abc_Lit2Var(Lit) ); if ( Abc_LitIsCompl(Lit) ) continue; if ( Vec_IntEntry(vUsed, i) ) continue; // positive literal became unused Vec_IntWriteEntry( vLits, i, Abc_LitNot(Lit) ); nLitsUsed--; fChanges = 1; } // report the results if ( fVerbose ) printf( "M =%4d : AIG =%8d. SAT vars =%8d. SAT conf =%8d. S =%6d. (%6.2f %%) ", nFramesMax, (nFramesMax+1) * Gia_ManAndNum(pMiter), Gia_ManRegNum(p) + Gia_ManCoNum(p) + sat_solver_nvars(pSat), sat_solver_nconflicts(pSat), nLitsUsed, 100.0 * nLitsUsed / Gia_ManRegNum(p) ); if ( fVerbose ) Abc_PrintTime( 1, "Time", Abc_Clock() - clkStart ); // count the number of negative literals sat_solver_delete( pSat ); if ( !fChanges || fEmpty ) break; // break; // sat_solver_rollback( pSat ); } Cnf_DataFree( pCnf ); Gia_ManStop( pMiter ); Vec_IntFree( vLits ); Vec_IntFree( vUsed ); } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ int Bmc_PerformISearchOne( Gia_Man_t * p, int nFramesMax, int nTimeOut, int fReverse, int fVerbose, Vec_Int_t * vLits ) { int fUseOldCnf = 0; Gia_Man_t * pMiter, * pTemp; Cnf_Dat_t * pCnf; sat_solver * pSat; // Vec_Int_t * vLits; int i, Iter, status; int nLitsUsed, RetValue = 0; abctime clkStart = Abc_Clock(); assert( nFramesMax > 0 ); assert( Gia_ManRegNum(p) > 0 ); // create miter pTemp = Gia_ManDup( p ); pMiter = Gia_ManMiter( p, pTemp, 0, 1, 1, 0, 0 ); Gia_ManStop( pTemp ); assert( Gia_ManPoNum(pMiter) == 2 * Gia_ManPoNum(p) ); assert( Gia_ManRegNum(pMiter) == 2 * Gia_ManRegNum(p) ); // derive CNF if ( fUseOldCnf ) pCnf = Cnf_DeriveGiaRemapped( pMiter ); else { pMiter = Jf_ManDeriveCnf( pTemp = pMiter, 0 ); Gia_ManStop( pTemp ); pCnf = (Cnf_Dat_t *)pMiter->pData; pMiter->pData = NULL; } /* // collect positive literals vLits = Vec_IntAlloc( Gia_ManCoNum(p) ); for ( i = 0; i < Gia_ManRegNum(p); i++ ) Vec_IntPush( vLits, Abc_Var2Lit(i, 0) ); */ // derive SAT solver pSat = Bmc_DeriveSolver( p, pMiter, pCnf, nFramesMax, nTimeOut, fVerbose ); status = sat_solver_solve( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits), (ABC_INT64_T)0, (ABC_INT64_T)0, (ABC_INT64_T)0, (ABC_INT64_T)0 ); if ( status == l_True ) { printf( "I = %4d : ", nFramesMax ); printf( "Problem is satisfiable.\n" ); sat_solver_delete( pSat ); Cnf_DataFree( pCnf ); Gia_ManStop( pMiter ); return 1; } if ( status == l_Undef ) { printf( "ICheck: Timeout reached after %d seconds. \n", nTimeOut ); RetValue = 1; goto cleanup; } assert( status == l_False ); // count the number of positive literals nLitsUsed = 0; for ( i = 0; i < Gia_ManRegNum(p); i++ ) if ( !Abc_LitIsCompl(Vec_IntEntry(vLits, i)) ) nLitsUsed++; // try removing variables for ( Iter = 0; Iter < Gia_ManRegNum(p); Iter++ ) { i = fReverse ? Gia_ManRegNum(p) - 1 - Iter : Iter; if ( Abc_LitIsCompl(Vec_IntEntry(vLits, i)) ) continue; Vec_IntWriteEntry( vLits, i, Abc_LitNot(Vec_IntEntry(vLits, i)) ); status = sat_solver_solve( pSat, Vec_IntArray(vLits), Vec_IntArray(vLits) + Vec_IntSize(vLits), (ABC_INT64_T)0, (ABC_INT64_T)0, (ABC_INT64_T)0, (ABC_INT64_T)0 ); if ( status == l_Undef ) { printf( "ICheck: Timeout reached after %d seconds. \n", nTimeOut ); RetValue = 1; goto cleanup; } if ( status == l_True ) Vec_IntWriteEntry( vLits, i, Abc_LitNot(Vec_IntEntry(vLits, i)) ); else if ( status == l_False ) nLitsUsed--; else assert( 0 ); // report the results //printf( "Round %d: ", o ); if ( fVerbose ) { printf( "I = %4d : AIG =%8d. SAT vars =%8d. SAT conf =%8d. S =%6d. (%6.2f %%) ", i, (nFramesMax+1) * Gia_ManAndNum(pMiter), Gia_ManRegNum(p) + Gia_ManCoNum(p) + sat_solver_nvars(pSat), sat_solver_nconflicts(pSat), nLitsUsed, 100.0 * nLitsUsed / Gia_ManRegNum(p) ); ABC_PRTr( "Time", Abc_Clock() - clkStart ); fflush( stdout ); } } // report the results //printf( "Round %d: ", o ); if ( fVerbose ) { printf( "M = %4d : AIG =%8d. SAT vars =%8d. SAT conf =%8d. S =%6d. (%6.2f %%) ", nFramesMax, (nFramesMax+1) * Gia_ManAndNum(pMiter), Gia_ManRegNum(p) + Gia_ManCoNum(p) + sat_solver_nvars(pSat), sat_solver_nconflicts(pSat), nLitsUsed, 100.0 * nLitsUsed / Gia_ManRegNum(p) ); Abc_PrintTime( 1, "Time", Abc_Clock() - clkStart ); fflush( stdout ); } cleanup: // cleanup sat_solver_delete( pSat ); Cnf_DataFree( pCnf ); Gia_ManStop( pMiter ); // Vec_IntFree( vLits ); return RetValue; } Vec_Int_t * Bmc_PerformISearch( Gia_Man_t * p, int nFramesMax, int nTimeOut, int fReverse, int fDump, int fVerbose ) { Vec_Int_t * vLits, * vFlops; int i, f; if ( fVerbose ) printf( "Solving M-inductiveness for design %s with %d AND nodes and %d flip-flops:\n", Gia_ManName(p), Gia_ManAndNum(p), Gia_ManRegNum(p) ); fflush( stdout ); // collect positive literals vLits = Vec_IntAlloc( Gia_ManCoNum(p) ); for ( i = 0; i < Gia_ManRegNum(p); i++ ) Vec_IntPush( vLits, Abc_Var2Lit(i, 0) ); for ( f = 1; f <= nFramesMax; f++ ) if ( Bmc_PerformISearchOne( p, f, nTimeOut, fReverse, fVerbose, vLits ) ) { Vec_IntFree( vLits ); return NULL; } // dump the numbers of the flops if ( fDump ) { int nLitsUsed = 0; for ( i = 0; i < Gia_ManRegNum(p); i++ ) if ( !Abc_LitIsCompl(Vec_IntEntry(vLits, i)) ) nLitsUsed++; printf( "The set contains %d (out of %d) next-state functions with 0-based numbers:\n", nLitsUsed, Gia_ManRegNum(p) ); for ( i = 0; i < Gia_ManRegNum(p); i++ ) if ( !Abc_LitIsCompl(Vec_IntEntry(vLits, i)) ) printf( "%d ", i ); printf( "\n" ); } // save flop indexes vFlops = Vec_IntAlloc( Gia_ManRegNum(p) ); for ( i = 0; i < Gia_ManRegNum(p); i++ ) if ( !Abc_LitIsCompl(Vec_IntEntry(vLits, i)) ) Vec_IntPush( vFlops, 1 ); else Vec_IntPush( vFlops, 0 ); Vec_IntFree( vLits ); return vFlops; } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// //////////////////////////////////////////////////////////////////////// ABC_NAMESPACE_IMPL_END