#include <MueLu_Utilities_fwd.hpp>

Inheritance diagram for MueLu::Utilities< Scalar, LocalOrdinal, GlobalOrdinal, Node >:

Public Types
typedef Teuchos::ScalarTraits < Scalar >::magnitudeType	Magnitude

Public Types inherited from MueLu::UtilitiesBase< Scalar, LocalOrdinal, GlobalOrdinal, Node >
typedef Teuchos::ScalarTraits < Scalar >::magnitudeType	Magnitude

Static Public Member Functions
static RCP< const Tpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	MV2TpetraMV (RCP< Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node >> const vec)
	Helper utility to pull out the underlying Tpetra objects from an Xpetra object. More...

static RCP < Tpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	MV2NonConstTpetraMV (RCP< Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node >> vec)

static RCP < Tpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	MV2NonConstTpetraMV2 (Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &vec)

static const Tpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &	MV2TpetraMV (const Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &vec)

static Tpetra::MultiVector < Scalar, LocalOrdinal, GlobalOrdinal, Node > &	MV2NonConstTpetraMV (Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &vec)

static RCP< const Tpetra::CrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Op2TpetraCrs (RCP< const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static RCP< Tpetra::CrsMatrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Op2NonConstTpetraCrs (RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static const Tpetra::CrsMatrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > &	Op2TpetraCrs (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op)

static Tpetra::CrsMatrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > &	Op2NonConstTpetraCrs (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op)

static RCP< const Tpetra::BlockCrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Op2TpetraBlockCrs (RCP< const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static RCP < Tpetra::BlockCrsMatrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Op2NonConstTpetraBlockCrs (RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static const Tpetra::BlockCrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &	Op2TpetraBlockCrs (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op)

static Tpetra::BlockCrsMatrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > &	Op2NonConstTpetraBlockCrs (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op)

static RCP< const Tpetra::RowMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Op2TpetraRow (RCP< const Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static RCP< Tpetra::RowMatrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Op2NonConstTpetraRow (RCP< Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static const RCP< const Tpetra::Map< LocalOrdinal, GlobalOrdinal, Node > >	Map2TpetraMap (const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > &map)

static void	MyOldScaleMatrix (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const Teuchos::ArrayRCP< const Scalar > &scalingVector, bool doInverse=true, bool doFillComplete=true, bool doOptimizeStorage=true)

static void	MyOldScaleMatrix_Epetra (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const Teuchos::ArrayRCP< Scalar > &scalingVector, bool doFillComplete, bool doOptimizeStorage)

static void	MyOldScaleMatrix_Tpetra (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const Teuchos::ArrayRCP< Scalar > &scalingVector, bool doFillComplete, bool doOptimizeStorage)

static RCP< Xpetra::Matrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > >	Transpose (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, bool optimizeTranspose=false, const std::string &label=std::string(), const Teuchos::RCP< Teuchos::ParameterList > &params=Teuchos::null)

static RCP < Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > >	RealValuedToScalarMultiVector (RCP< Xpetra::MultiVector< typename Teuchos::ScalarTraits< Scalar >::coordinateType, LocalOrdinal, GlobalOrdinal, Node >> X)

static RCP < Xpetra::MultiVector < typename Teuchos::ScalarTraits< Scalar > ::magnitudeType, LocalOrdinal, GlobalOrdinal, Node > >	ExtractCoordinatesFromParameterList (ParameterList &paramList)

Static Public Member Functions inherited from MueLu::UtilitiesBase< Scalar, LocalOrdinal, GlobalOrdinal, Node >
static RCP< Matrix >	Crs2Op (RCP< CrsMatrix > Op)

static RCP< CrsMatrixWrap >	GetThresholdedMatrix (const RCP< Matrix > &Ain, const Scalar threshold, const bool keepDiagonal=true, const GlobalOrdinal expectedNNZperRow=-1)
	Threshold a matrix. More...

static RCP< Xpetra::CrsGraph < LocalOrdinal, GlobalOrdinal, Node > >	GetThresholdedGraph (const RCP< Matrix > &A, const Magnitude threshold, const GlobalOrdinal expectedNNZperRow=-1)
	Threshold a graph. More...

static Teuchos::ArrayRCP< Scalar >	GetMatrixDiagonal_arcp (const Matrix &A)
	Extract Matrix Diagonal. More...

static RCP< Vector >	GetMatrixDiagonal (const Matrix &A)
	Extract Matrix Diagonal. More...

static RCP< Vector >	GetMatrixDiagonalInverse (const Matrix &A, Magnitude tol=Teuchos::ScalarTraits< Scalar >::eps()*100, Scalar valReplacement=Teuchos::ScalarTraits< Scalar >::zero(), const bool doLumped=false)
	Extract Matrix Diagonal. More...

static Teuchos::RCP< Vector >	GetLumpedMatrixDiagonal (Matrix const &A, const bool doReciprocal=false, Magnitude tol=Teuchos::ScalarTraits< Scalar >::magnitude(Teuchos::ScalarTraits< Scalar >::zero()), Scalar valReplacement=Teuchos::ScalarTraits< Scalar >::zero(), const bool replaceSingleEntryRowWithZero=false, const bool useAverageAbsDiagVal=false)
	Extract Matrix Diagonal of lumped matrix. More...

static Teuchos::ArrayRCP < Magnitude >	GetMatrixMaxMinusOffDiagonal (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A)
	Return vector containing: max_{i=k}(-a_ik), for each for i in the matrix. More...

static Teuchos::ArrayRCP < Magnitude >	GetMatrixMaxMinusOffDiagonal (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Xpetra::Vector< LocalOrdinal, LocalOrdinal, GlobalOrdinal, Node > &BlockNumber)

static Teuchos::RCP< Vector >	GetInverse (Teuchos::RCP< const Vector > v, Magnitude tol=Teuchos::ScalarTraits< Scalar >::eps()*100, Scalar valReplacement=Teuchos::ScalarTraits< Scalar >::zero())
	Return vector containing inverse of input vector. More...

static RCP< Vector >	GetMatrixOverlappedDiagonal (const Matrix &A)
	Extract Overlapped Matrix Diagonal. More...

static RCP< Vector >	GetMatrixOverlappedDeletedRowsum (const Matrix &A)
	Extract Overlapped Matrix Deleted Rowsum. More...

static RCP< Xpetra::Vector < Magnitude, LocalOrdinal, GlobalOrdinal, Node > >	GetMatrixOverlappedAbsDeletedRowsum (const Matrix &A)

static Teuchos::Array< Magnitude >	ResidualNorm (const Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const MultiVector &X, const MultiVector &RHS)

static Teuchos::Array< Magnitude >	ResidualNorm (const Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const MultiVector &X, const MultiVector &RHS, MultiVector &Resid)

static RCP< MultiVector >	Residual (const Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const MultiVector &X, const MultiVector &RHS)

static void	Residual (const Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op, const MultiVector &X, const MultiVector &RHS, MultiVector &Resid)

static Scalar	PowerMethod (const Matrix &A, bool scaleByDiag=true, LocalOrdinal niters=10, Magnitude tolerance=1e-2, bool verbose=false, unsigned int seed=123)
	Power method. More...

static Scalar	PowerMethod (const Matrix &A, const RCP< Vector > &diagInvVec, LocalOrdinal niters=10, Magnitude tolerance=1e-2, bool verbose=false, unsigned int seed=123)
	Power method. More...

static RCP< Teuchos::FancyOStream >	MakeFancy (std::ostream &os)

static Teuchos::ScalarTraits < Scalar >::magnitudeType	Distance2 (const Teuchos::Array< Teuchos::ArrayRCP< const Scalar >> &v, LocalOrdinal i0, LocalOrdinal i1)
	Squared distance between two rows in a multivector. More...

static Teuchos::ScalarTraits < Scalar >::magnitudeType	Distance2 (const Teuchos::ArrayView< double > &weight, const Teuchos::Array< Teuchos::ArrayRCP< const Scalar >> &v, LocalOrdinal i0, LocalOrdinal i1)
	Weighted squared distance between two rows in a multivector. More...

static Teuchos::ArrayRCP < const bool >	DetectDirichletRows (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Magnitude &tol=Teuchos::ScalarTraits< Magnitude >::zero(), bool count_twos_as_dirichlet=false)
	Detect Dirichlet rows. More...

static Kokkos::View< bool *, typename NO::device_type::memory_space >	DetectDirichletRows_kokkos (const Matrix &A, const Magnitude &tol=Teuchos::ScalarTraits< typename Teuchos::ScalarTraits< SC >::magnitudeType >::zero(), const bool count_twos_as_dirichlet=false)
	Detect Dirichlet rows. More...

static Kokkos::View< bool *, typename Kokkos::HostSpace >	DetectDirichletRows_kokkos_host (const Matrix &A, const Magnitude &tol=Teuchos::ScalarTraits< typename Teuchos::ScalarTraits< SC >::magnitudeType >::zero(), const bool count_twos_as_dirichlet=false)

static Teuchos::ArrayRCP < const bool >	DetectDirichletRowsExt (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, bool &bHasZeroDiagonal, const Magnitude &tol=Teuchos::ScalarTraits< Scalar >::zero())
	Detect Dirichlet rows (extended version) More...

static void	FindNonZeros (const Teuchos::ArrayRCP< const Scalar > vals, Teuchos::ArrayRCP< bool > nonzeros)
	Find non-zero values in an ArrayRCP Compares the value to 2 * machine epsilon. More...

static void	FindNonZeros (const typename Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node >::dual_view_type::t_dev_const_um vals, Kokkos::View< bool *, typename Node::device_type > nonzeros)
	Find non-zero values in an ArrayRCP Compares the value to 2 * machine epsilon. More...

static void	DetectDirichletColsAndDomains (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Teuchos::ArrayRCP< bool > &dirichletRows, Teuchos::ArrayRCP< bool > dirichletCols, Teuchos::ArrayRCP< bool > dirichletDomain)
	Detects Dirichlet columns & domains from a list of Dirichlet rows. More...

static void	DetectDirichletColsAndDomains (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Kokkos::View< bool , typename Node::device_type > &dirichletRows, Kokkos::View< bool , typename Node::device_type > dirichletCols, Kokkos::View< bool *, typename Node::device_type > dirichletDomain)
	Detects Dirichlet columns & domains from a list of Dirichlet rows. More...

static void	ApplyRowSumCriterion (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Magnitude rowSumTol, Teuchos::ArrayRCP< bool > &dirichletRows)
	Apply Rowsum Criterion. More...

static void	ApplyRowSumCriterion (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Xpetra::Vector< LocalOrdinal, LocalOrdinal, GlobalOrdinal, Node > &BlockNumber, const Magnitude rowSumTol, Teuchos::ArrayRCP< bool > &dirichletRows)

static void	ApplyRowSumCriterion (const Matrix &A, const typename Teuchos::ScalarTraits< Scalar >::magnitudeType rowSumTol, Kokkos::View< bool *, typename NO::device_type::memory_space > &dirichletRows)

static void	ApplyRowSumCriterionHost (const Matrix &A, const typename Teuchos::ScalarTraits< Scalar >::magnitudeType rowSumTol, Kokkos::View< bool *, Kokkos::HostSpace > &dirichletRows)

static void	ApplyRowSumCriterion (const Matrix &A, const Xpetra::Vector< LocalOrdinal, LocalOrdinal, GlobalOrdinal, Node > &BlockNumber, const typename Teuchos::ScalarTraits< Scalar >::magnitudeType rowSumTol, Kokkos::View< bool *, typename NO::device_type::memory_space > &dirichletRows)

static void	ApplyRowSumCriterionHost (const Matrix &A, const Xpetra::Vector< LocalOrdinal, LocalOrdinal, GlobalOrdinal, Node > &BlockNumber, const typename Teuchos::ScalarTraits< Scalar >::magnitudeType rowSumTol, Kokkos::View< bool *, Kokkos::HostSpace > &dirichletRows)

static Teuchos::ArrayRCP < const bool >	DetectDirichletCols (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Teuchos::ArrayRCP< const bool > &dirichletRows)
	Detect Dirichlet columns based on Dirichlet rows. More...

static Kokkos::View< bool *, typename NO::device_type >	DetectDirichletCols (const Matrix &A, const Kokkos::View< const bool *, typename NO::device_type > &dirichletRows)
	Detect Dirichlet columns based on Dirichlet rows. More...

static Scalar	Frobenius (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &A, const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &B)
	Frobenius inner product of two matrices. More...

static void	SetRandomSeed (const Teuchos::Comm< int > &comm)
	Set seed for random number generator. More...

static void	FindDirichletRows (Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &A, std::vector< LocalOrdinal > &dirichletRows, bool count_twos_as_dirichlet=false)

static void	ApplyOAZToMatrixRows (Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &A, const std::vector< LocalOrdinal > &dirichletRows)

static void	ApplyOAZToMatrixRows (Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &A, const Teuchos::ArrayRCP< const bool > &dirichletRows)

static void	ApplyOAZToMatrixRows (RCP< Matrix > &A, const Kokkos::View< const bool *, typename Node::device_type > &dirichletRows)

static void	ZeroDirichletRows (Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &A, const std::vector< LocalOrdinal > &dirichletRows, Scalar replaceWith=Teuchos::ScalarTraits< Scalar >::zero())

static void	ZeroDirichletRows (Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &A, const Teuchos::ArrayRCP< const bool > &dirichletRows, Scalar replaceWith=Teuchos::ScalarTraits< Scalar >::zero())

static void	ZeroDirichletRows (Teuchos::RCP< Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &X, const Teuchos::ArrayRCP< const bool > &dirichletRows, Scalar replaceWith=Teuchos::ScalarTraits< Scalar >::zero())

static void	ZeroDirichletRows (RCP< Matrix > &A, const Kokkos::View< const bool *, typename NO::device_type > &dirichletRows, SC replaceWith=Teuchos::ScalarTraits< SC >::zero())

static void	ZeroDirichletRows (RCP< MultiVector > &X, const Kokkos::View< const bool *, typename NO::device_type > &dirichletRows, SC replaceWith=Teuchos::ScalarTraits< SC >::zero())

static void	ZeroDirichletCols (Teuchos::RCP< Matrix > &A, const Teuchos::ArrayRCP< const bool > &dirichletCols, Scalar replaceWith=Teuchos::ScalarTraits< Scalar >::zero())

static void	ZeroDirichletCols (RCP< Matrix > &A, const Kokkos::View< const bool *, typename NO::device_type > &dirichletCols, SC replaceWith=Teuchos::ScalarTraits< SC >::zero())

static void	FindDirichletRowsAndPropagateToCols (Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> &A, Teuchos::RCP< Xpetra::Vector< int, LocalOrdinal, GlobalOrdinal, Node >> &isDirichletRow, Teuchos::RCP< Xpetra::Vector< int, LocalOrdinal, GlobalOrdinal, Node >> &isDirichletCol)

static RCP< Xpetra::Matrix < Scalar, LocalOrdinal, GlobalOrdinal, Node > >	ReplaceNonZerosWithOnes (const RCP< Matrix > &original)
	Creates a copy of a matrix where the non-zero entries are replaced by ones. More...

static RCP< const Xpetra::BlockedMap < LocalOrdinal, GlobalOrdinal, Node > >	GeneratedBlockedTargetMap (const Xpetra::BlockedMap< LocalOrdinal, GlobalOrdinal, Node > &sourceBlockedMap, const Xpetra::Import< LocalOrdinal, GlobalOrdinal, Node > &Importer)

static bool	MapsAreNested (const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > &rowMap, const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > &colMap)

static RCP< Xpetra::Vector < LocalOrdinal, LocalOrdinal, GlobalOrdinal, Node > >	CuthillMcKee (const Matrix &Op)

static RCP< Xpetra::Vector < LocalOrdinal, LocalOrdinal, GlobalOrdinal, Node > >	ReverseCuthillMcKee (const Matrix &Op)

static RCP< const Epetra_MultiVector >	MV2EpetraMV (RCP< Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node >> const vec)
	Helper utility to pull out the underlying Epetra objects from an Xpetra object. More...

static RCP< Epetra_MultiVector >	MV2NonConstEpetraMV (RCP< Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node >> vec)

static const Epetra_MultiVector &	MV2EpetraMV (const Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &vec)

static Epetra_MultiVector &	MV2NonConstEpetraMV (Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &vec)

static RCP< const Epetra_CrsMatrix >	Op2EpetraCrs (RCP< const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static RCP< Epetra_CrsMatrix >	Op2NonConstEpetraCrs (RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >> Op)

static const Epetra_CrsMatrix &	Op2EpetraCrs (const Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op)

static Epetra_CrsMatrix &	Op2NonConstEpetraCrs (Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Op)

static const Epetra_Map &	Map2EpetraMap (const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > &map)

Detailed Description

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
class MueLu::Utilities< Scalar, LocalOrdinal, GlobalOrdinal, Node >

MueLu utility class.

MueLu utility class (specialization SC=double and LO=GO=int).

This class provides a number of static helper methods. Some are temporary and will eventually go away, while others should be moved to Xpetra.

Note: this is the implementation for Epetra. Tpetra throws if TPETRA_INST_INT_INT is disabled!

Definition at line 51 of file MueLu_Utilities_fwd.hpp.