| /**CFile**************************************************************** |
| |
| FileName [saigLoc.c] |
| |
| SystemName [ABC: Logic synthesis and verification system.] |
| |
| PackageName [Sequential AIG package.] |
| |
| Synopsis [K-step induction for one property only.] |
| |
| Author [Alan Mishchenko] |
| |
| Affiliation [UC Berkeley] |
| |
| Date [Ver. 1.0. Started - June 20, 2005.] |
| |
| Revision [$Id: saigLoc.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $] |
| |
| ***********************************************************************/ |
| |
| #include "saig.h" |
| #include "sat/cnf/cnf.h" |
| #include "sat/bsat/satSolver.h" |
| |
| ABC_NAMESPACE_IMPL_START |
| |
| |
| //////////////////////////////////////////////////////////////////////// |
| /// DECLARATIONS /// |
| //////////////////////////////////////////////////////////////////////// |
| |
| //////////////////////////////////////////////////////////////////////// |
| /// FUNCTION DEFINITIONS /// |
| //////////////////////////////////////////////////////////////////////// |
| |
| /**Function************************************************************* |
| |
| Synopsis [Returns 1 if two state are equal.] |
| |
| Description [Array vState contains indexes of CNF variables for each |
| flop in the first N time frames (0 < i < k, i < N, k < N).] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| int Saig_ManStatesAreEqual( sat_solver * pSat, Vec_Int_t * vState, int nRegs, int i, int k ) |
| { |
| int * pStateI = (int *)Vec_IntArray(vState) + nRegs * i; |
| int * pStateK = (int *)Vec_IntArray(vState) + nRegs * k; |
| int v; |
| assert( i && k && i < k ); |
| assert( nRegs * k <= Vec_IntSize(vState) ); |
| // check if the states are available |
| for ( v = 0; v < nRegs; v++ ) |
| if ( pStateI[v] >= 0 && pStateK[v] == -1 ) |
| return 0; |
| /* |
| printf( "\nchecking uniqueness\n" ); |
| printf( "%3d : ", i ); |
| for ( v = 0; v < nRegs; v++ ) |
| printf( "%d", sat_solver_var_value(pSat, pStateI[v]) ); |
| printf( "\n" ); |
| |
| printf( "%3d : ", k ); |
| for ( v = 0; v < nRegs; v++ ) |
| printf( "%d", sat_solver_var_value(pSat, pStateK[v]) ); |
| printf( "\n" ); |
| */ |
| for ( v = 0; v < nRegs; v++ ) |
| if ( pStateI[v] >= 0 ) |
| { |
| if ( sat_solver_var_value(pSat, pStateI[v]) != sat_solver_var_value(pSat, pStateK[v]) ) |
| return 0; |
| } |
| return 1; |
| } |
| |
| /**Function************************************************************* |
| |
| Synopsis [Add uniqueness constraint.] |
| |
| Description [] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| int Saig_ManAddUniqueness( sat_solver * pSat, Vec_Int_t * vState, int nRegs, int i, int k, int * pnSatVarNum, int * pnClauses, int fVerbose ) |
| { |
| int * pStateI = (int *)Vec_IntArray(vState) + nRegs * i; |
| int * pStateK = (int *)Vec_IntArray(vState) + nRegs * k; |
| int v, iVars, nSatVarsOld, RetValue, * pClause; |
| assert( i && k && i < k ); |
| assert( nRegs * k <= Vec_IntSize(vState) ); |
| // check if the states are available |
| for ( v = 0; v < nRegs; v++ ) |
| if ( pStateI[v] >= 0 && pStateK[v] == -1 ) |
| { |
| if ( fVerbose ) |
| printf( "Cannot constrain an incomplete state.\n" ); |
| return 0; |
| } |
| // add XORs |
| nSatVarsOld = *pnSatVarNum; |
| for ( v = 0; v < nRegs; v++ ) |
| if ( pStateI[v] >= 0 ) |
| { |
| *pnClauses += 4; |
| RetValue = Cnf_DataAddXorClause( pSat, pStateI[v], pStateK[v], (*pnSatVarNum)++ ); |
| if ( RetValue == 0 ) |
| { |
| if ( fVerbose ) |
| printf( "SAT solver became UNSAT after adding a uniqueness constraint.\n" ); |
| return 1; |
| } |
| } |
| // add OR clause |
| (*pnClauses)++; |
| iVars = 0; |
| pClause = ABC_ALLOC( int, nRegs ); |
| for ( v = nSatVarsOld; v < *pnSatVarNum; v++ ) |
| pClause[iVars++] = toLitCond( v, 0 ); |
| assert( iVars <= nRegs ); |
| RetValue = sat_solver_addclause( pSat, pClause, pClause + iVars ); |
| ABC_FREE( pClause ); |
| if ( RetValue == 0 ) |
| { |
| if ( fVerbose ) |
| printf( "SAT solver became UNSAT after adding a uniqueness constraint.\n" ); |
| return 1; |
| } |
| return 0; |
| } |
| |
| /**Function************************************************************* |
| |
| Synopsis [Performs induction by unrolling timeframes backward.] |
| |
| Description [] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| int Saig_ManInduction( Aig_Man_t * p, int nTimeOut, int nFramesMax, int nConfMax, int fUnique, int fUniqueAll, int fGetCex, int fVerbose, int fVeryVerbose ) |
| { |
| sat_solver * pSat; |
| Aig_Man_t * pAigPart = NULL; |
| Cnf_Dat_t * pCnfPart = NULL; |
| Vec_Int_t * vTopVarNums, * vState, * vTopVarIds = NULL; |
| Vec_Ptr_t * vTop, * vBot; |
| Aig_Obj_t * pObjPi, * pObjPiCopy, * pObjPo; |
| int i, k, f, Lits[2], status = -1, RetValue, nSatVarNum, nConfPrev; |
| int nOldSize, iReg, iLast, fAdded, nConstrs = 0, nClauses = 0; |
| abctime clk, nTimeToStop = nTimeOut ? nTimeOut * CLOCKS_PER_SEC + Abc_Clock() : 0; |
| assert( fUnique == 0 || fUniqueAll == 0 ); |
| assert( Saig_ManPoNum(p) == 1 ); |
| Aig_ManSetCioIds( p ); |
| |
| // start the top by including the PO |
| vBot = Vec_PtrAlloc( 100 ); |
| vTop = Vec_PtrAlloc( 100 ); |
| vState = Vec_IntAlloc( 1000 ); |
| Vec_PtrPush( vTop, Aig_ManCo(p, 0) ); |
| // start the array of CNF variables |
| vTopVarNums = Vec_IntAlloc( 100 ); |
| // start the solver |
| pSat = sat_solver_new(); |
| sat_solver_setnvars( pSat, 1000 ); |
| |
| // set runtime limit |
| if ( nTimeToStop ) |
| sat_solver_set_runtime_limit( pSat, nTimeToStop ); |
| |
| // iterate backward unrolling |
| RetValue = -1; |
| nSatVarNum = 0; |
| if ( fVerbose ) |
| printf( "Induction parameters: FramesMax = %5d. ConflictMax = %6d.\n", nFramesMax, nConfMax ); |
| for ( f = 0; ; f++ ) |
| { |
| if ( f > 0 ) |
| { |
| Aig_ManStop( pAigPart ); |
| Cnf_DataFree( pCnfPart ); |
| } |
| clk = Abc_Clock(); |
| // get the bottom |
| Aig_SupportNodes( p, (Aig_Obj_t **)Vec_PtrArray(vTop), Vec_PtrSize(vTop), vBot ); |
| // derive AIG for the part between top and bottom |
| pAigPart = Aig_ManDupSimpleDfsPart( p, vBot, vTop ); |
| // convert it into CNF |
| pCnfPart = Cnf_Derive( pAigPart, Aig_ManCoNum(pAigPart) ); |
| Cnf_DataLift( pCnfPart, nSatVarNum ); |
| nSatVarNum += pCnfPart->nVars; |
| nClauses += pCnfPart->nClauses; |
| |
| // remember top frame var IDs |
| if ( fGetCex && vTopVarIds == NULL ) |
| { |
| vTopVarIds = Vec_IntStartFull( Aig_ManCiNum(p) ); |
| Aig_ManForEachCi( p, pObjPi, i ) |
| { |
| if ( pObjPi->pData == NULL ) |
| continue; |
| pObjPiCopy = (Aig_Obj_t *)pObjPi->pData; |
| assert( Aig_ObjIsCi(pObjPiCopy) ); |
| if ( Saig_ObjIsPi(p, pObjPi) ) |
| Vec_IntWriteEntry( vTopVarIds, Aig_ObjCioId(pObjPi) + Saig_ManRegNum(p), pCnfPart->pVarNums[Aig_ObjId(pObjPiCopy)] ); |
| else if ( Saig_ObjIsLo(p, pObjPi) ) |
| Vec_IntWriteEntry( vTopVarIds, Aig_ObjCioId(pObjPi) - Saig_ManPiNum(p), pCnfPart->pVarNums[Aig_ObjId(pObjPiCopy)] ); |
| else assert( 0 ); |
| } |
| } |
| |
| // stitch variables of top and bot |
| assert( Aig_ManCoNum(pAigPart)-1 == Vec_IntSize(vTopVarNums) ); |
| Aig_ManForEachCo( pAigPart, pObjPo, i ) |
| { |
| if ( i == 0 ) |
| { |
| // do not perform inductive strengthening |
| // if ( f > 0 ) |
| // continue; |
| // add topmost literal |
| Lits[0] = toLitCond( pCnfPart->pVarNums[pObjPo->Id], f>0 ); |
| if ( !sat_solver_addclause( pSat, Lits, Lits+1 ) ) |
| assert( 0 ); |
| nClauses++; |
| continue; |
| } |
| Lits[0] = toLitCond( Vec_IntEntry(vTopVarNums, i-1), 0 ); |
| Lits[1] = toLitCond( pCnfPart->pVarNums[pObjPo->Id], 1 ); |
| if ( !sat_solver_addclause( pSat, Lits, Lits+2 ) ) |
| assert( 0 ); |
| Lits[0] = toLitCond( Vec_IntEntry(vTopVarNums, i-1), 1 ); |
| Lits[1] = toLitCond( pCnfPart->pVarNums[pObjPo->Id], 0 ); |
| if ( !sat_solver_addclause( pSat, Lits, Lits+2 ) ) |
| assert( 0 ); |
| nClauses += 2; |
| } |
| // add CNF to the SAT solver |
| for ( i = 0; i < pCnfPart->nClauses; i++ ) |
| if ( !sat_solver_addclause( pSat, pCnfPart->pClauses[i], pCnfPart->pClauses[i+1] ) ) |
| break; |
| if ( i < pCnfPart->nClauses ) |
| { |
| // printf( "SAT solver became UNSAT after adding clauses.\n" ); |
| RetValue = 1; |
| break; |
| } |
| |
| // create new set of POs to derive new top |
| Vec_PtrClear( vTop ); |
| Vec_PtrPush( vTop, Aig_ManCo(p, 0) ); |
| Vec_IntClear( vTopVarNums ); |
| nOldSize = Vec_IntSize(vState); |
| Vec_IntFillExtra( vState, nOldSize + Aig_ManRegNum(p), -1 ); |
| Vec_PtrForEachEntry( Aig_Obj_t *, vBot, pObjPi, i ) |
| { |
| assert( Aig_ObjIsCi(pObjPi) ); |
| if ( Saig_ObjIsLo(p, pObjPi) ) |
| { |
| pObjPiCopy = (Aig_Obj_t *)pObjPi->pData; |
| assert( pObjPiCopy != NULL ); |
| Vec_PtrPush( vTop, Saig_ObjLoToLi(p, pObjPi) ); |
| Vec_IntPush( vTopVarNums, pCnfPart->pVarNums[pObjPiCopy->Id] ); |
| |
| iReg = pObjPi->CioId - Saig_ManPiNum(p); |
| assert( iReg >= 0 && iReg < Aig_ManRegNum(p) ); |
| Vec_IntWriteEntry( vState, nOldSize+iReg, pCnfPart->pVarNums[pObjPiCopy->Id] ); |
| } |
| } |
| assert( Vec_IntSize(vState)%Aig_ManRegNum(p) == 0 ); |
| iLast = Vec_IntSize(vState)/Aig_ManRegNum(p); |
| if ( fUniqueAll ) |
| { |
| for ( i = 1; i < iLast-1; i++ ) |
| { |
| nConstrs++; |
| if ( fVeryVerbose ) |
| printf( "Adding constaint for state %2d and state %2d.\n", i, iLast-1 ); |
| if ( Saig_ManAddUniqueness( pSat, vState, Aig_ManRegNum(p), i, iLast-1, &nSatVarNum, &nClauses, fVerbose ) ) |
| break; |
| } |
| if ( i < iLast-1 ) |
| { |
| RetValue = 1; |
| break; |
| } |
| } |
| |
| nextrun: |
| fAdded = 0; |
| // run the SAT solver |
| nConfPrev = pSat->stats.conflicts; |
| status = sat_solver_solve( pSat, NULL, NULL, (ABC_INT64_T)nConfMax, 0, 0, 0 ); |
| if ( fVerbose ) |
| { |
| printf( "Frame %4d : PI =%5d. PO =%5d. AIG =%5d. Var =%7d. Clau =%7d. Conf =%7d. ", |
| f, Aig_ManCiNum(pAigPart), Aig_ManCoNum(pAigPart), Aig_ManNodeNum(pAigPart), |
| nSatVarNum, nClauses, (int)pSat->stats.conflicts-nConfPrev ); |
| ABC_PRT( "Time", Abc_Clock() - clk ); |
| } |
| if ( status == l_Undef ) |
| break; |
| if ( status == l_False ) |
| { |
| RetValue = 1; |
| break; |
| } |
| assert( status == l_True ); |
| // the problem is SAT - add more clauses |
| if ( fVeryVerbose ) |
| { |
| Vec_IntForEachEntry( vState, iReg, i ) |
| { |
| if ( i && (i % Aig_ManRegNum(p)) == 0 ) |
| printf( "\n" ); |
| if ( (i % Aig_ManRegNum(p)) == 0 ) |
| printf( " State %3d : ", i/Aig_ManRegNum(p) ); |
| printf( "%c", (iReg >= 0) ? ('0' + sat_solver_var_value(pSat, iReg)) : 'x' ); |
| } |
| printf( "\n" ); |
| } |
| if ( nFramesMax && f == nFramesMax - 1 ) |
| { |
| // derive counter-example |
| assert( status == l_True ); |
| if ( fGetCex ) |
| { |
| int VarNum, iBit = 0; |
| Abc_Cex_t * pCex = Abc_CexAlloc( Aig_ManRegNum(p)-1, Saig_ManPiNum(p), 1 ); |
| pCex->iFrame = 0; |
| pCex->iPo = 0; |
| Vec_IntForEachEntryStart( vTopVarIds, VarNum, i, 1 ) |
| { |
| if ( VarNum >= 0 && sat_solver_var_value( pSat, VarNum ) ) |
| Abc_InfoSetBit( pCex->pData, iBit ); |
| iBit++; |
| } |
| assert( iBit == pCex->nBits ); |
| Abc_CexFree( p->pSeqModel ); |
| p->pSeqModel = pCex; |
| } |
| break; |
| } |
| if ( fUnique ) |
| { |
| for ( i = 1; i < iLast; i++ ) |
| { |
| for ( k = i+1; k < iLast; k++ ) |
| { |
| if ( !Saig_ManStatesAreEqual( pSat, vState, Aig_ManRegNum(p), i, k ) ) |
| continue; |
| nConstrs++; |
| fAdded = 1; |
| if ( fVeryVerbose ) |
| printf( "Adding constaint for state %2d and state %2d.\n", i, k ); |
| if ( Saig_ManAddUniqueness( pSat, vState, Aig_ManRegNum(p), i, k, &nSatVarNum, &nClauses, fVerbose ) ) |
| break; |
| } |
| if ( k < iLast ) |
| break; |
| } |
| if ( i < iLast ) |
| { |
| RetValue = 1; |
| break; |
| } |
| } |
| if ( fAdded ) |
| goto nextrun; |
| } |
| if ( fVerbose ) |
| { |
| if ( nTimeToStop && Abc_Clock() >= nTimeToStop ) |
| printf( "Timeout (%d sec) was reached during iteration %d.\n", nTimeOut, f+1 ); |
| else if ( status == l_Undef ) |
| printf( "Conflict limit (%d) was reached during iteration %d.\n", nConfMax, f+1 ); |
| else if ( fUnique || fUniqueAll ) |
| printf( "Completed %d interations and added %d uniqueness constraints.\n", f+1, nConstrs ); |
| else |
| printf( "Completed %d interations.\n", f+1 ); |
| } |
| // cleanup |
| sat_solver_delete( pSat ); |
| Aig_ManStop( pAigPart ); |
| Cnf_DataFree( pCnfPart ); |
| Vec_IntFree( vTopVarNums ); |
| Vec_PtrFree( vTop ); |
| Vec_PtrFree( vBot ); |
| Vec_IntFree( vState ); |
| Vec_IntFreeP( &vTopVarIds ); |
| return RetValue; |
| } |
| |
| |
| //////////////////////////////////////////////////////////////////////// |
| /// END OF FILE /// |
| //////////////////////////////////////////////////////////////////////// |
| |
| |
| ABC_NAMESPACE_IMPL_END |
| |