// ================================================ ====== ==== ==== == =
// Apply the preconditioner to an Epetra_MultiVector X, puts the result in Y
int ML_Epetra::RefMaxwellPreconditioner::ApplyInverse(const Epetra_MultiVector& B, Epetra_MultiVector& X_) const
{
int rv;
/* Sanity Checks */
if (!B.Map().SameAs(*DomainMap_)) ML_CHK_ERR(-1);
if (B.NumVectors() != X_.NumVectors()) ML_CHK_ERR(-1);
/* Check for zero RHS */
bool norm0=true;
double *norm=new double[B.NumVectors()];
B.Norm2(norm);
for(int i=0;norm0==true && i<B.NumVectors();i++) norm0=norm0 && (norm[i]==0);
delete [] norm;
if(norm0) return 0;
/* Build new work vector X */
Epetra_MultiVector X(X_.Map(),X_.NumVectors());
X.PutScalar(0);
/* What mode to run in? */
if(mode=="212") rv=ApplyInverse_Implicit_212(B,X);
else if(mode=="additive") rv=ApplyInverse_Implicit_Additive(B,X);
else if(mode=="121") rv=ApplyInverse_Implicit_121(B,X);
else {fprintf(stderr,"%s","RefMaxwellPreconditioner ERROR: Invalid ApplyInverse mode set in Teuchos list");ML_CHK_ERR(-2);}
ML_CHK_ERR(rv);
/* Copy work vector to output */
X_=X;
/* Timer Stuff */
#ifdef ML_TIMING
ML_Epetra::RefMaxwellPreconditioner* This = const_cast<ML_Epetra::RefMaxwellPreconditioner *>(this);
if(FirstApplication_){
This->FirstApplication_=false;
This->FirstApplicationTime_=ApplicationTime_;
}/*end if*/
This->NumApplications_++;
#endif
return 0;
}/*end ApplyInverse*/
int main(int argc, char *argv[])
{
#ifdef HAVE_MPI
Teuchos::GlobalMPISession mpiSession(&argc, &argv, 0);
Epetra_MpiComm Comm(MPI_COMM_WORLD);
#else
Epetra_SerialComm Comm;
#endif
int nProcs, myPID ;
Teuchos::ParameterList pLUList ; // ParaLU parameters
Teuchos::ParameterList isoList ; // Isorropia parameters
Teuchos::ParameterList shyLUList ; // shyLU parameters
Teuchos::ParameterList ifpackList ; // shyLU parameters
string ipFileName = "ShyLU.xml"; // TODO : Accept as i/p
nProcs = mpiSession.getNProc();
myPID = Comm.MyPID();
if (myPID == 0)
{
cout <<"Parallel execution: nProcs="<< nProcs << endl;
}
// =================== Read input xml file =============================
Teuchos::updateParametersFromXmlFile(ipFileName, &pLUList);
isoList = pLUList.sublist("Isorropia Input");
shyLUList = pLUList.sublist("ShyLU Input");
shyLUList.set("Outer Solver Library", "AztecOO");
// Get matrix market file name
string MMFileName = Teuchos::getParameter<string>(pLUList, "mm_file");
string prec_type = Teuchos::getParameter<string>(pLUList, "preconditioner");
int maxiters = Teuchos::getParameter<int>(pLUList, "Outer Solver MaxIters");
double tol = Teuchos::getParameter<double>(pLUList, "Outer Solver Tolerance");
string rhsFileName = pLUList.get<string>("rhs_file", "");
if (myPID == 0)
{
cout << "Input :" << endl;
cout << "ParaLU params " << endl;
pLUList.print(std::cout, 2, true, true);
cout << "Matrix market file name: " << MMFileName << endl;
}
// ==================== Read input Matrix ==============================
Epetra_CrsMatrix *A;
Epetra_MultiVector *b1;
int err = EpetraExt::MatrixMarketFileToCrsMatrix(MMFileName.c_str(), Comm,
A);
//EpetraExt::MatlabFileToCrsMatrix(MMFileName.c_str(), Comm, A);
//assert(err != 0);
//cout <<"Done reading the matrix"<< endl;
int n = A->NumGlobalRows();
//cout <<"n="<< n << endl;
// Create input vectors
Epetra_Map vecMap(n, 0, Comm);
if (rhsFileName != "")
{
err = EpetraExt::MatrixMarketFileToMultiVector(rhsFileName.c_str(),
vecMap, b1);
}
else
{
b1 = new Epetra_MultiVector(vecMap, 1, false);
b1->PutScalar(1.0);
}
Epetra_MultiVector x(vecMap, 1);
//cout << "Created the vectors" << endl;
// Partition the matrix with hypergraph partitioning and redisstribute
Isorropia::Epetra::Partitioner *partitioner = new
Isorropia::Epetra::Partitioner(A, isoList, false);
partitioner->partition();
Isorropia::Epetra::Redistributor rd(partitioner);
Epetra_CrsMatrix *newA;
Epetra_MultiVector *newX, *newB;
rd.redistribute(*A, newA);
delete A;
A = newA;
rd.redistribute(x, newX);
rd.redistribute(*b1, newB);
Epetra_LinearProblem problem(A, newX, newB);
AztecOO solver(problem);
ifpackList ;
Ifpack_Preconditioner *prec;
ML_Epetra::MultiLevelPreconditioner *MLprec;
if (prec_type.compare("ShyLU") == 0)
{
prec = new Ifpack_ShyLU(A);
prec->SetParameters(shyLUList);
prec->Initialize();
prec->Compute();
//(dynamic_cast<Ifpack_ShyLU *>(prec))->JustTryIt();
//cout << " Going to set it in solver" << endl ;
solver.SetPrecOperator(prec);
//cout << " Done setting the solver" << endl ;
}
else if (prec_type.compare("ILU") == 0)
{
ifpackList.set( "fact: level-of-fill", 1 );
prec = new Ifpack_ILU(A);
prec->SetParameters(ifpackList);
prec->Initialize();
prec->Compute();
solver.SetPrecOperator(prec);
}
else if (prec_type.compare("ILUT") == 0)
{
ifpackList.set( "fact: ilut level-of-fill", 2 );
ifpackList.set( "fact: drop tolerance", 1e-8);
prec = new Ifpack_ILUT(A);
prec->SetParameters(ifpackList);
prec->Initialize();
prec->Compute();
solver.SetPrecOperator(prec);
}
else if (prec_type.compare("ML") == 0)
{
Teuchos::ParameterList mlList; // TODO : Take it from i/p
MLprec = new ML_Epetra::MultiLevelPreconditioner(*A, mlList, true);
solver.SetPrecOperator(MLprec);
}
solver.SetAztecOption(AZ_solver, AZ_gmres);
solver.SetMatrixName(333);
//solver.SetAztecOption(AZ_output, 1);
//solver.SetAztecOption(AZ_conv, AZ_Anorm);
//cout << "Going to iterate for the global problem" << endl;
solver.Iterate(maxiters, tol);
// compute ||Ax - b||
double Norm;
Epetra_MultiVector Ax(vecMap, 1);
Epetra_MultiVector *newAx;
rd.redistribute(Ax, newAx);
A->Multiply(false, *newX, *newAx);
newAx->Update(1.0, *newB, -1.0);
newAx->Norm2(&Norm);
double ANorm = A->NormOne();
cout << "|Ax-b |/|A| = " << Norm/ANorm << endl;
delete newAx;
if (prec_type.compare("ML") == 0)
{
delete MLprec;
}
else
{
delete prec;
}
delete b1;
delete newX;
delete newB;
delete A;
delete partitioner;
}
//
// Amesos_TestMultiSolver.cpp reads in a matrix in Harwell-Boeing format,
// calls one of the sparse direct solvers, using blocked right hand sides
// and computes the error and residual.
//
// TestSolver ignores the Harwell-Boeing right hand sides, creating
// random right hand sides instead.
//
// Amesos_TestMultiSolver can test either A x = b or A^T x = b.
// This can be a bit confusing because sparse direct solvers
// use compressed column storage - the transpose of Trilinos'
// sparse row storage.
//
// Matrices:
// readA - Serial. As read from the file.
// transposeA - Serial. The transpose of readA.
// serialA - if (transpose) then transposeA else readA
// distributedA - readA distributed to all processes
// passA - if ( distributed ) then distributedA else serialA
//
//
int Amesos_TestMultiSolver( Epetra_Comm &Comm, char *matrix_file, int numsolves,
SparseSolverType SparseSolver, bool transpose,
int special, AMESOS_MatrixType matrix_type ) {
int iam = Comm.MyPID() ;
// int hatever;
// if ( iam == 0 ) std::cin >> hatever ;
Comm.Barrier();
Epetra_Map * readMap;
Epetra_CrsMatrix * readA;
Epetra_Vector * readx;
Epetra_Vector * readb;
Epetra_Vector * readxexact;
std::string FileName = matrix_file ;
int FN_Size = FileName.size() ;
std::string LastFiveBytes = FileName.substr( EPETRA_MAX(0,FN_Size-5), FN_Size );
std::string LastFourBytes = FileName.substr( EPETRA_MAX(0,FN_Size-4), FN_Size );
bool NonContiguousMap = false;
if ( LastFiveBytes == ".triU" ) {
NonContiguousMap = true;
// Call routine to read in unsymmetric Triplet matrix
EPETRA_CHK_ERR( Trilinos_Util_ReadTriples2Epetra( matrix_file, false, Comm, readMap, readA, readx,
readb, readxexact, NonContiguousMap ) );
} else {
if ( LastFiveBytes == ".triS" ) {
NonContiguousMap = true;
// Call routine to read in symmetric Triplet matrix
EPETRA_CHK_ERR( Trilinos_Util_ReadTriples2Epetra( matrix_file, true, Comm,
readMap, readA, readx,
readb, readxexact, NonContiguousMap ) );
} else {
if ( LastFourBytes == ".mtx" ) {
EPETRA_CHK_ERR( Trilinos_Util_ReadMatrixMarket2Epetra( matrix_file, Comm, readMap,
readA, readx, readb, readxexact) );
} else {
// Call routine to read in HB problem
Trilinos_Util_ReadHb2Epetra( matrix_file, Comm, readMap, readA, readx,
readb, readxexact) ;
}
}
}
Epetra_CrsMatrix transposeA(Copy, *readMap, 0);
Epetra_CrsMatrix *serialA ;
if ( transpose ) {
assert( CrsMatrixTranspose( readA, &transposeA ) == 0 );
serialA = &transposeA ;
} else {
serialA = readA ;
}
// Create uniform distributed map
Epetra_Map map(readMap->NumGlobalElements(), 0, Comm);
Epetra_Map* map_;
if( NonContiguousMap ) {
//
// map gives us NumMyElements and MyFirstElement;
//
int NumGlobalElements = readMap->NumGlobalElements();
int NumMyElements = map.NumMyElements();
int MyFirstElement = map.MinMyGID();
std::vector<int> MapMap_( NumGlobalElements );
readMap->MyGlobalElements( &MapMap_[0] ) ;
Comm.Broadcast( &MapMap_[0], NumGlobalElements, 0 ) ;
map_ = new Epetra_Map( NumGlobalElements, NumMyElements, &MapMap_[MyFirstElement], 0, Comm);
} else {
map_ = new Epetra_Map( map ) ;
}
// Create Exporter to distribute read-in matrix and vectors
Epetra_Export exporter(*readMap, *map_);
Epetra_CrsMatrix A(Copy, *map_, 0);
Epetra_RowMatrix * passA = 0;
Epetra_MultiVector * passx = 0;
Epetra_MultiVector * passb = 0;
Epetra_MultiVector * passxexact = 0;
Epetra_MultiVector * passresid = 0;
Epetra_MultiVector * passtmp = 0;
Epetra_MultiVector x(*map_,numsolves);
Epetra_MultiVector b(*map_,numsolves);
Epetra_MultiVector xexact(*map_,numsolves);
Epetra_MultiVector resid(*map_,numsolves);
Epetra_MultiVector tmp(*map_,numsolves);
Epetra_MultiVector serialx(*readMap,numsolves);
Epetra_MultiVector serialb(*readMap,numsolves);
Epetra_MultiVector serialxexact(*readMap,numsolves);
Epetra_MultiVector serialresid(*readMap,numsolves);
Epetra_MultiVector serialtmp(*readMap,numsolves);
bool distribute_matrix = ( matrix_type == AMESOS_Distributed ) ;
if ( distribute_matrix ) {
//
// Initialize x, b and xexact to the values read in from the file
//
A.Export(*serialA, exporter, Add);
Comm.Barrier();
assert(A.FillComplete()==0);
Comm.Barrier();
passA = &A;
passx = &x;
passb = &b;
passxexact = &xexact;
passresid = &resid;
passtmp = &tmp;
} else {
passA = serialA;
passx = &serialx;
passb = &serialb;
passxexact = &serialxexact;
passresid = &serialresid;
passtmp = &serialtmp;
}
passxexact->SetSeed(131) ;
passxexact->Random();
passx->SetSeed(11231) ;
passx->Random();
passb->PutScalar( 0.0 );
passA->Multiply( transpose, *passxexact, *passb ) ;
Epetra_MultiVector CopyB( *passb ) ;
double Anorm = passA->NormInf() ;
SparseDirectTimingVars::SS_Result.Set_Anorm(Anorm) ;
Epetra_LinearProblem Problem( (Epetra_RowMatrix *) passA,
(Epetra_MultiVector *) passx,
(Epetra_MultiVector *) passb );
double max_resid = 0.0;
for ( int j = 0 ; j < special+1 ; j++ ) {
Epetra_Time TotalTime( Comm ) ;
if ( false ) {
#ifdef TEST_UMFPACK
unused code
} else if ( SparseSolver == UMFPACK ) {
UmfpackOO umfpack( (Epetra_RowMatrix *) passA,
(Epetra_MultiVector *) passx,
(Epetra_MultiVector *) passb ) ;
umfpack.SetTrans( transpose ) ;
umfpack.Solve() ;
#endif
#ifdef TEST_SUPERLU
} else if ( SparseSolver == SuperLU ) {
SuperluserialOO superluserial( (Epetra_RowMatrix *) passA,
(Epetra_MultiVector *) passx,
(Epetra_MultiVector *) passb ) ;
superluserial.SetPermc( SuperLU_permc ) ;
superluserial.SetTrans( transpose ) ;
superluserial.SetUseDGSSV( special == 0 ) ;
superluserial.Solve() ;
#endif
#ifdef HAVE_AMESOS_SLUD
} else if ( SparseSolver == SuperLUdist ) {
SuperludistOO superludist( Problem ) ;
superludist.SetTrans( transpose ) ;
EPETRA_CHK_ERR( superludist.Solve( true ) ) ;
#endif
#ifdef HAVE_AMESOS_SLUD2
} else if ( SparseSolver == SuperLUdist2 ) {
Superludist2_OO superludist2( Problem ) ;
superludist2.SetTrans( transpose ) ;
EPETRA_CHK_ERR( superludist2.Solve( true ) ) ;
#endif
#ifdef TEST_SPOOLES
} else if ( SparseSolver == SPOOLES ) {
SpoolesOO spooles( (Epetra_RowMatrix *) passA,
(Epetra_MultiVector *) passx,
(Epetra_MultiVector *) passb ) ;
spooles.SetTrans( transpose ) ;
spooles.Solve() ;
#endif
#ifdef HAVE_AMESOS_DSCPACK
} else if ( SparseSolver == DSCPACK ) {
Teuchos::ParameterList ParamList ;
Amesos_Dscpack dscpack( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( dscpack.SetParameters( ParamList ) );
EPETRA_CHK_ERR( dscpack.Solve( ) );
#endif
#ifdef HAVE_AMESOS_UMFPACK
} else if ( SparseSolver == UMFPACK ) {
Teuchos::ParameterList ParamList ;
Amesos_Umfpack umfpack( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( umfpack.SetParameters( ParamList ) );
EPETRA_CHK_ERR( umfpack.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( umfpack.Solve( ) );
#endif
#ifdef HAVE_AMESOS_KLU
} else if ( SparseSolver == KLU ) {
Teuchos::ParameterList ParamList ;
Amesos_Klu klu( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( klu.SetParameters( ParamList ) );
EPETRA_CHK_ERR( klu.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( klu.SymbolicFactorization( ) );
EPETRA_CHK_ERR( klu.NumericFactorization( ) );
EPETRA_CHK_ERR( klu.Solve( ) );
#endif
#ifdef HAVE_AMESOS_PARAKLETE
} else if ( SparseSolver == PARAKLETE ) {
Teuchos::ParameterList ParamList ;
Amesos_Paraklete paraklete( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( paraklete.SetParameters( ParamList ) );
EPETRA_CHK_ERR( paraklete.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( paraklete.SymbolicFactorization( ) );
EPETRA_CHK_ERR( paraklete.NumericFactorization( ) );
EPETRA_CHK_ERR( paraklete.Solve( ) );
#endif
#ifdef HAVE_AMESOS_SLUS
} else if ( SparseSolver == SuperLU ) {
Epetra_SLU superluserial( &Problem ) ;
EPETRA_CHK_ERR( superluserial.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( superluserial.SymbolicFactorization( ) );
EPETRA_CHK_ERR( superluserial.NumericFactorization( ) );
EPETRA_CHK_ERR( superluserial.Solve( ) );
#endif
#ifdef HAVE_AMESOS_LAPACK
} else if ( SparseSolver == LAPACK ) {
Teuchos::ParameterList ParamList ;
ParamList.set( "MaxProcs", -3 );
Amesos_Lapack lapack( Problem ) ;
EPETRA_CHK_ERR( lapack.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( lapack.SymbolicFactorization( ) );
EPETRA_CHK_ERR( lapack.NumericFactorization( ) );
EPETRA_CHK_ERR( lapack.Solve( ) );
#endif
#ifdef HAVE_AMESOS_TAUCS
} else if ( SparseSolver == TAUCS ) {
Teuchos::ParameterList ParamList ;
Amesos_Taucs taucs( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( taucs.SetParameters( ParamList ) );
EPETRA_CHK_ERR( taucs.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( taucs.SymbolicFactorization( ) );
EPETRA_CHK_ERR( taucs.NumericFactorization( ) );
EPETRA_CHK_ERR( taucs.Solve( ) );
#endif
#ifdef HAVE_AMESOS_PARDISO
} else if ( SparseSolver == PARDISO ) {
Teuchos::ParameterList ParamList ;
Amesos_Pardiso pardiso( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( pardiso.SetParameters( ParamList ) );
EPETRA_CHK_ERR( pardiso.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( pardiso.SymbolicFactorization( ) );
EPETRA_CHK_ERR( pardiso.NumericFactorization( ) );
EPETRA_CHK_ERR( pardiso.Solve( ) );
#endif
#ifdef HAVE_AMESOS_PARKLETE
} else if ( SparseSolver == PARKLETE ) {
Teuchos::ParameterList ParamList ;
Amesos_Parklete parklete( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( parklete.SetParameters( ParamList ) );
EPETRA_CHK_ERR( parklete.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( parklete.SymbolicFactorization( ) );
EPETRA_CHK_ERR( parklete.NumericFactorization( ) );
EPETRA_CHK_ERR( parklete.Solve( ) );
#endif
#ifdef HAVE_AMESOS_MUMPS
} else if ( SparseSolver == MUMPS ) {
Teuchos::ParameterList ParamList ;
Amesos_Mumps mumps( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( mumps.SetParameters( ParamList ) );
EPETRA_CHK_ERR( mumps.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( mumps.SymbolicFactorization( ) );
EPETRA_CHK_ERR( mumps.NumericFactorization( ) );
EPETRA_CHK_ERR( mumps.Solve( ) );
#endif
#ifdef HAVE_AMESOS_SCALAPACK
} else if ( SparseSolver == SCALAPACK ) {
Teuchos::ParameterList ParamList ;
Amesos_Scalapack scalapack( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( scalapack.SetParameters( ParamList ) );
EPETRA_CHK_ERR( scalapack.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( scalapack.SymbolicFactorization( ) );
EPETRA_CHK_ERR( scalapack.NumericFactorization( ) );
EPETRA_CHK_ERR( scalapack.Solve( ) );
#endif
#ifdef HAVE_AMESOS_SUPERLUDIST
} else if ( SparseSolver == SUPERLUDIST ) {
Teuchos::ParameterList ParamList ;
Amesos_Superludist superludist( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( superludist.SetParameters( ParamList ) );
EPETRA_CHK_ERR( superludist.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( superludist.SymbolicFactorization( ) );
EPETRA_CHK_ERR( superludist.NumericFactorization( ) );
EPETRA_CHK_ERR( superludist.Solve( ) );
#endif
#ifdef HAVE_AMESOS_SUPERLU
} else if ( SparseSolver == SUPERLU ) {
Teuchos::ParameterList ParamList ;
Amesos_Superlu superlu( Problem ) ;
ParamList.set( "MaxProcs", -3 );
EPETRA_CHK_ERR( superlu.SetParameters( ParamList ) );
EPETRA_CHK_ERR( superlu.SetUseTranspose( transpose ) );
EPETRA_CHK_ERR( superlu.SymbolicFactorization( ) );
EPETRA_CHK_ERR( superlu.NumericFactorization( ) );
EPETRA_CHK_ERR( superlu.Solve( ) );
#endif
#ifdef TEST_SPOOLESSERIAL
} else if ( SparseSolver == SPOOLESSERIAL ) {
SpoolesserialOO spoolesserial( (Epetra_RowMatrix *) passA,
(Epetra_MultiVector *) passx,
(Epetra_MultiVector *) passb ) ;
spoolesserial.Solve() ;
#endif
} else {
SparseDirectTimingVars::log_file << "Solver not implemented yet" << std::endl ;
std::cerr << "\n\n#################### Requested solver not available (Or not tested with blocked RHS) on this platform #####################\n" << std::endl ;
}
SparseDirectTimingVars::SS_Result.Set_Total_Time( TotalTime.ElapsedTime() );
// SparseDirectTimingVars::SS_Result.Set_First_Time( 0.0 );
// SparseDirectTimingVars::SS_Result.Set_Middle_Time( 0.0 );
// SparseDirectTimingVars::SS_Result.Set_Last_Time( 0.0 );
//
// Compute the error = norm(xcomp - xexact )
//
std::vector <double> error(numsolves) ;
double max_error = 0.0;
passresid->Update(1.0, *passx, -1.0, *passxexact, 0.0);
passresid->Norm2(&error[0]);
for ( int i = 0 ; i< numsolves; i++ )
if ( error[i] > max_error ) max_error = error[i] ;
SparseDirectTimingVars::SS_Result.Set_Error(max_error) ;
// passxexact->Norm2(&error[0] ) ;
// passx->Norm2(&error ) ;
//
// Compute the residual = norm(Ax - b)
//
std::vector <double> residual(numsolves) ;
passtmp->PutScalar(0.0);
passA->Multiply( transpose, *passx, *passtmp);
passresid->Update(1.0, *passtmp, -1.0, *passb, 0.0);
// passresid->Update(1.0, *passtmp, -1.0, CopyB, 0.0);
passresid->Norm2(&residual[0]);
for ( int i = 0 ; i< numsolves; i++ )
if ( residual[i] > max_resid ) max_resid = residual[i] ;
SparseDirectTimingVars::SS_Result.Set_Residual(max_resid) ;
std::vector <double> bnorm(numsolves);
passb->Norm2( &bnorm[0] ) ;
SparseDirectTimingVars::SS_Result.Set_Bnorm(bnorm[0]) ;
std::vector <double> xnorm(numsolves);
passx->Norm2( &xnorm[0] ) ;
SparseDirectTimingVars::SS_Result.Set_Xnorm(xnorm[0]) ;
if ( false && iam == 0 ) {
std::cout << " Amesos_TestMutliSolver.cpp " << std::endl ;
for ( int i = 0 ; i< numsolves && i < 10 ; i++ ) {
std::cout << "i=" << i
<< " error = " << error[i]
<< " xnorm = " << xnorm[i]
<< " residual = " << residual[i]
<< " bnorm = " << bnorm[i]
<< std::endl ;
}
std::cout << std::endl << " max_resid = " << max_resid ;
std::cout << " max_error = " << max_error << std::endl ;
std::cout << " Get_residual() again = " << SparseDirectTimingVars::SS_Result.Get_Residual() << std::endl ;
}
}
delete readA;
delete readx;
delete readb;
delete readxexact;
delete readMap;
delete map_;
Comm.Barrier();
return 0 ;
}
int main(int argc, char *argv[])
{
#ifdef HAVE_MPI
Teuchos::GlobalMPISession mpiSession(&argc, &argv, 0);
Epetra_MpiComm Comm(MPI_COMM_WORLD);
#else
Epetra_SerialComm Comm;
#endif
int nProcs, myPID ;
Teuchos::ParameterList pLUList ; // ParaLU parameters
Teuchos::ParameterList isoList ; // Isorropia parameters
string ipFileName = "ShyLU.xml"; // TODO : Accept as i/p
nProcs = mpiSession.getNProc();
myPID = Comm.MyPID();
if (myPID == 0)
{
cout <<"Parallel execution: nProcs="<< nProcs << endl;
}
// =================== Read input xml file =============================
Teuchos::updateParametersFromXmlFile(ipFileName, &pLUList);
isoList = pLUList.sublist("Isorropia Input");
// Get matrix market file name
string MMFileName = Teuchos::getParameter<string>(pLUList, "mm_file");
string prec_type = Teuchos::getParameter<string>(pLUList, "preconditioner");
if (myPID == 0)
{
cout << "Input :" << endl;
cout << "ParaLU params " << endl;
pLUList.print(std::cout, 2, true, true);
cout << "Matrix market file name: " << MMFileName << endl;
}
// ==================== Read input Matrix ==============================
Epetra_CrsMatrix *A;
int err = EpetraExt::MatrixMarketFileToCrsMatrix(MMFileName.c_str(), Comm, A);
//EpetraExt::MatlabFileToCrsMatrix(MMFileName.c_str(), Comm, A);
//assert(err != 0);
cout <<"Done reading the matrix"<< endl;
int n = A->NumGlobalRows();
cout <<"n="<< n << endl;
// Create input vectors
Epetra_Map vecMap(n, 0, Comm);
Epetra_MultiVector x(vecMap, 1);
Epetra_MultiVector b(vecMap, 1, false);
b.PutScalar(1.0); // TODO : Accept it as input
// Partition the matrix with hypergraph partitioning and redisstribute
Isorropia::Epetra::Partitioner *partitioner = new
Isorropia::Epetra::Partitioner(A, isoList, false);
partitioner->partition();
Isorropia::Epetra::Redistributor rd(partitioner);
Epetra_CrsMatrix *newA;
Epetra_MultiVector *newX, *newB;
rd.redistribute(*A, newA);
delete A;
A = newA;
rd.redistribute(x, newX);
rd.redistribute(b, newB);
Epetra_LinearProblem problem(A, newX, newB);
Amesos Factory;
char* SolverType = "Amesos_Klu";
bool IsAvailable = Factory.Query(SolverType);
Epetra_LinearProblem *LP = new Epetra_LinearProblem();
LP->SetOperator(A);
LP->SetLHS(newX);
LP->SetRHS(newB);
Amesos_BaseSolver *Solver = Factory.Create(SolverType, *LP);
Solver->SymbolicFactorization();
Teuchos::Time ftime("setup time");
ftime.start();
Solver->NumericFactorization();
cout << "Numeric Factorization" << endl;
Solver->Solve();
cout << "Solve done" << endl;
ftime.stop();
cout << "Time to setup" << ftime.totalElapsedTime() << endl;
// compute ||Ax - b||
double Norm;
Epetra_MultiVector Ax(vecMap, 1);
Epetra_MultiVector *newAx;
rd.redistribute(Ax, newAx);
A->Multiply(false, *newX, *newAx);
newAx->Update(1.0, *newB, -1.0);
newAx->Norm2(&Norm);
double ANorm = A->NormOne();
cout << "|Ax-b |/|A| = " << Norm/ANorm << endl;
delete newAx;
delete newX;
delete newB;
delete A;
delete partitioner;
}