Tools to compute orientations for degrees-of-freedom. More...

#include <Intrepid2_OrientationTools.hpp>

Public Types
using	CoeffMatrixDataViewType = Kokkos::View< double ****, DeviceType >
	subcell ordinal, orientation, matrix m x n

using	KeyType = std::pair< const std::string, ordinal_type >
	key :: basis name, order, value :: matrix data view type

using	OrtCoeffDataType = std::map< KeyType, Kokkos::View< double ****, DeviceType > >

Public Member Functions
template<typename BasisHostType >
void	init_HGRAD (typename OrientationTools< DT >::CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse)

template<typename BasisHostType >
void	init_HCURL (typename OrientationTools< DT >::CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse)

template<typename BasisHostType >
void	init_HDIV (typename OrientationTools< DT >::CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse)

template<typename BasisHostType >
void	init_HVOL (typename OrientationTools< DT >::CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse)

Static Public Member Functions
template<typename BasisType >
static CoeffMatrixDataViewType	createCoeffMatrix (const BasisType *basis)
	Create coefficient matrix.

template<typename BasisType >
static CoeffMatrixDataViewType	createInvCoeffMatrix (const BasisType *basis)
	Create inverse of coefficient matrix.

static void	clearCoeffMatrix ()
	Clear coefficient matrix.

template<typename elemOrtValueType , class ... elemOrtProperties, typename elemNodeValueType , class ... elemNodeProperties>
static void	getOrientation (Kokkos::DynRankView< elemOrtValueType, elemOrtProperties... > elemOrts, const Kokkos::DynRankView< elemNodeValueType, elemNodeProperties... > elemNodes, const shards::CellTopology cellTopo, bool isSide=false)
	Compute orientations of cells in a workset.

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisType >
static void	modifyBasisByOrientation (Kokkos::DynRankView< outputValueType, outputProperties... > output, const Kokkos::DynRankView< inputValueType, inputProperties... > input, const OrientationViewType orts, const BasisType *basis, const bool transpose=false)
	Modify basis due to orientation.

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisType >
static void	modifyBasisByOrientationTranspose (Kokkos::DynRankView< outputValueType, outputProperties... > output, const Kokkos::DynRankView< inputValueType, inputProperties... > input, const OrientationViewType orts, const BasisType *basis)
	Modify basis due to orientation, applying the transpose of the operator applied in modifyBasisByOrientation(). If the input provided represents basis coefficents in the global orientation, then this method will appropriately transform them to the local orientation.

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisType >
static void	modifyBasisByOrientationInverse (Kokkos::DynRankView< outputValueType, outputProperties... > output, const Kokkos::DynRankView< inputValueType, inputProperties... > input, const OrientationViewType orts, const BasisType *basis, const bool transpose=false)
	Modify basis due to orientation, applying the inverse of the operator applied in modifyBasisByOrientation().

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisTypeLeft , typename BasisTypeRight >
static void	modifyMatrixByOrientation (Kokkos::DynRankView< outputValueType, outputProperties... > output, const Kokkos::DynRankView< inputValueType, inputProperties... > input, const OrientationViewType orts, const BasisTypeLeft basisLeft, const BasisTypeRight basisRight)
	Modify an assembled (C,F1,F2) matrix according to orientation of the cells.

Static Public Attributes
static OrtCoeffDataType	ortCoeffData

static OrtCoeffDataType	ortInvCoeffData

Static Private Member Functions
template<typename BasisHostType >
static CoeffMatrixDataViewType	createCoeffMatrixInternal (const BasisHostType *basis, const bool invTrans=false)

template<typename BasisHostType >
static void	init_HGRAD (CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
	Compute orientation matrix for HGRAD basis.

template<typename BasisHostType >
static void	init_HCURL (CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
	Compute orientation matrix for HCURL basis.

template<typename BasisHostType >
static void	init_HDIV (CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
	Compute orientation matrix for HDIV basis.

template<typename BasisHostType >
static void	init_HVOL (CoeffMatrixDataViewType matData, BasisHostType const *cellBasis, const bool inverse=false)
	Compute orientation matrix for HVOL basis.

Detailed Description

template<typename DeviceType>
class Intrepid2::OrientationTools< DeviceType >

Tools to compute orientations for degrees-of-freedom.

Definition at line 378 of file Intrepid2_OrientationTools.hpp.

Member Typedef Documentation

◆ CoeffMatrixDataViewType

template<typename DeviceType >

using Intrepid2::OrientationTools< DeviceType >::CoeffMatrixDataViewType = Kokkos::View<double****,DeviceType>

subcell ordinal, orientation, matrix m x n

Definition at line 383 of file Intrepid2_OrientationTools.hpp.

◆ KeyType

template<typename DeviceType >

using Intrepid2::OrientationTools< DeviceType >::KeyType = std::pair<const std::string,ordinal_type>

key :: basis name, order, value :: matrix data view type

Definition at line 388 of file Intrepid2_OrientationTools.hpp.

◆ OrtCoeffDataType

template<typename DeviceType >

using Intrepid2::OrientationTools< DeviceType >::OrtCoeffDataType = std::map<KeyType,Kokkos::View<double****,DeviceType> >

Definition at line 389 of file Intrepid2_OrientationTools.hpp.

Member Function Documentation

◆ clearCoeffMatrix()

template<typename DT >

void Intrepid2::OrientationTools< DT >::clearCoeffMatrix ( )

inlinestatic

Clear coefficient matrix.

Definition at line 318 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ createCoeffMatrix()

template<typename DT >

template<typename BasisType >

OrientationTools< DT >::CoeffMatrixDataViewType Intrepid2::OrientationTools< DT >::createCoeffMatrix ( const BasisType * basis )

inlinestatic

Create coefficient matrix.

Parameters

basis [in] - basis type

Definition at line 270 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ createCoeffMatrixInternal()

template<typename DT >

template<typename BasisHostType >

OrientationTools< DT >::CoeffMatrixDataViewType Intrepid2::OrientationTools< DT >::createCoeffMatrixInternal	(	const BasisHostType *	basis,
		const bool	invTrans = `false`
	)

inlinestaticprivate

Definition at line 28 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ createInvCoeffMatrix()

template<typename DT >

template<typename BasisType >

OrientationTools< DT >::CoeffMatrixDataViewType Intrepid2::OrientationTools< DT >::createInvCoeffMatrix ( const BasisType * basis )

inlinestatic

Create inverse of coefficient matrix.

Parameters

basis [in] - basis type

Definition at line 295 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ getOrientation()

template<typename DT >

template<typename elemOrtValueType , class ... elemOrtProperties, typename elemNodeValueType , class ... elemNodeProperties>

void Intrepid2::OrientationTools< DT >::getOrientation	(	Kokkos::DynRankView< elemOrtValueType, elemOrtProperties... >	elemOrts,
		const Kokkos::DynRankView< elemNodeValueType, elemNodeProperties... >	elemNodes,
		const shards::CellTopology	cellTopo,
		bool	isSide = `false`
	)

inlinestatic

Compute orientations of cells in a workset.

Parameters

elemOrts	[out] - cell orientations
elemNodes	[in] - node coordinates
cellTopo	[in] - shards cell topology
isSide	[in] - boolean, whether the cell is a side

Definition at line 31 of file Intrepid2_OrientationToolsDefModifyBasis.hpp.

Referenced by Intrepid2::CellGeometry< PointScalar, spaceDim, DeviceType >::initializeOrientations().

◆ init_HCURL()

template<typename DeviceType >

template<typename BasisHostType >

void Intrepid2::OrientationTools< DeviceType >::init_HCURL	(	typename OrientationTools< DT >::CoeffMatrixDataViewType	matData,
		BasisHostType const *	cellBasis,
		const bool	inverse
	)

Definition at line 136 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ init_HDIV()

template<typename DeviceType >

template<typename BasisHostType >

void Intrepid2::OrientationTools< DeviceType >::init_HDIV	(	typename OrientationTools< DT >::CoeffMatrixDataViewType	matData,
		BasisHostType const *	cellBasis,
		const bool	inverse
	)

Definition at line 196 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ init_HGRAD()

template<typename DeviceType >

template<typename BasisHostType >

void Intrepid2::OrientationTools< DeviceType >::init_HGRAD	(	typename OrientationTools< DT >::CoeffMatrixDataViewType	matData,
		BasisHostType const *	cellBasis,
		const bool	inverse
	)

Definition at line 72 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ init_HVOL()

template<typename DeviceType >

template<typename BasisHostType >

void Intrepid2::OrientationTools< DeviceType >::init_HVOL	(	typename OrientationTools< DT >::CoeffMatrixDataViewType	matData,
		BasisHostType const *	cellBasis,
		const bool	inverse
	)

Definition at line 230 of file Intrepid2_OrientationToolsDefMatrixData.hpp.

◆ modifyBasisByOrientation()

template<typename DT >

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisType >

void Intrepid2::OrientationTools< DT >::modifyBasisByOrientation	(	Kokkos::DynRankView< outputValueType, outputProperties... >	output,
		const Kokkos::DynRankView< inputValueType, inputProperties... >	input,
		const OrientationViewType	orts,
		const BasisType *	basis,
		const bool	transpose = `false`
	)

inlinestatic

Modify basis due to orientation.

Parameters

output	[out] - output array, of shape (C,F,P[,D])
input	[in] - input array, of shape (C,F,P[,D]) or (F,P[,D])
orts	[in] - orientations, of shape (C)
basis	[in] - basis of cardinality F
transpose	[in] - boolean, when true the transpose of the orintation matrix is applied

Definition at line 249 of file Intrepid2_OrientationToolsDefModifyBasis.hpp.

References Intrepid2::RealSpaceTools< DeviceType >::clone().

Referenced by Intrepid2::ProjectionTools< DeviceType >::projectField().

◆ modifyBasisByOrientationInverse()

template<typename DT >

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisType >

void Intrepid2::OrientationTools< DT >::modifyBasisByOrientationInverse	(	Kokkos::DynRankView< outputValueType, outputProperties... >	output,
		const Kokkos::DynRankView< inputValueType, inputProperties... >	input,
		const OrientationViewType	orts,
		const BasisType *	basis,
		const bool	transpose = `false`
	)

inlinestatic

Modify basis due to orientation, applying the inverse of the operator applied in modifyBasisByOrientation().

Parameters

output	[out] - output array, of shape (C,F,P[,D])
input	[in] - input array, of shape (C,F,P[,D]) or (F,P[,D])
orts	[in] - orientations, of shape (C)
basis	[in] - basis of cardinality F
transpose	[in] - boolean, when true the transpose of the inverse of the operatore applied

Definition at line 349 of file Intrepid2_OrientationToolsDefModifyBasis.hpp.

References Intrepid2::RealSpaceTools< DeviceType >::clone().

Referenced by Intrepid2::LagrangianInterpolation< DeviceType >::getBasisCoeffs(), Intrepid2::ProjectionTools< DeviceType >::getHCurlBasisCoeffs(), Intrepid2::ProjectionTools< DeviceType >::getHDivBasisCoeffs(), Intrepid2::ProjectionTools< DeviceType >::getHGradBasisCoeffs(), Intrepid2::ProjectionTools< DeviceType >::getL2BasisCoeffs(), Intrepid2::ProjectionTools< DeviceType >::getL2DGBasisCoeffs(), and Intrepid2::LagrangianTools< DeviceType >::getOrientedDofCoeffs().

◆ modifyBasisByOrientationTranspose()

template<typename DT >

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisType >

void Intrepid2::OrientationTools< DT >::modifyBasisByOrientationTranspose	(	Kokkos::DynRankView< outputValueType, outputProperties... >	output,
		const Kokkos::DynRankView< inputValueType, inputProperties... >	input,
		const OrientationViewType	orts,
		const BasisType *	basis
	)

inlinestatic

Modify basis due to orientation, applying the transpose of the operator applied in modifyBasisByOrientation(). If the input provided represents basis coefficents in the global orientation, then this method will appropriately transform them to the local orientation.

Parameters

output	[out] - output array, of shape (C,F,P[,D])
input	[in] - input array, of shape (C,F,P[,D]) or (F,P[,D])
orts	[in] - orientations, of shape (C)
basis	[in] - basis of cardinality F

Definition at line 334 of file Intrepid2_OrientationToolsDefModifyBasis.hpp.

◆ modifyMatrixByOrientation()

template<typename DT >

template<typename outputValueType , class ... outputProperties, typename inputValueType , class ... inputProperties, typename OrientationViewType , typename BasisTypeLeft , typename BasisTypeRight >

void Intrepid2::OrientationTools< DT >::modifyMatrixByOrientation	(	Kokkos::DynRankView< outputValueType, outputProperties... >	output,
		const Kokkos::DynRankView< inputValueType, inputProperties... >	input,
		const OrientationViewType	orts,
		const BasisTypeLeft *	basisLeft,
		const BasisTypeRight *	basisRight
	)

inlinestatic

Modify an assembled (C,F1,F2) matrix according to orientation of the cells.

Parameters

output	[out] - output array, shape (C,F1,F2)
input	[in] - input array, shape (C,F1,F2)
orts	[in] - orientations, shape (C)
basisLeft	[in] - basis with cardinality F1
basisRight	[in] - basis with cardinality F2

Definition at line 435 of file Intrepid2_OrientationToolsDefModifyBasis.hpp.

References Intrepid2::RealSpaceTools< DeviceType >::clone().

Member Data Documentation

◆ ortCoeffData

template<typename T >

OrientationTools< T >::OrtCoeffDataType Intrepid2::OrientationTools< T >::ortCoeffData

static

Definition at line 391 of file Intrepid2_OrientationTools.hpp.

◆ ortInvCoeffData

template<typename T >

OrientationTools< T >::OrtCoeffDataType Intrepid2::OrientationTools< T >::ortInvCoeffData

static

Definition at line 392 of file Intrepid2_OrientationTools.hpp.

The documentation for this class was generated from the following files:

/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid2/src/Orientation/Intrepid2_OrientationTools.hpp
/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid2/src/Orientation/Intrepid2_OrientationToolsDefMatrixData.hpp
/home/runner/work/trilinos.github.io/trilinos.github.io/Trilinos/packages/intrepid2/src/Orientation/Intrepid2_OrientationToolsDefModifyBasis.hpp

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Static Private Member Functions

Detailed Description

Member Typedef Documentation

◆ CoeffMatrixDataViewType

◆ KeyType

◆ OrtCoeffDataType

Member Function Documentation

◆ clearCoeffMatrix()

◆ createCoeffMatrix()

◆ createCoeffMatrixInternal()

◆ createInvCoeffMatrix()

◆ getOrientation()

◆ init_HCURL()

◆ init_HDIV()

◆ init_HGRAD()

◆ init_HVOL()

◆ modifyBasisByOrientation()

◆ modifyBasisByOrientationInverse()

◆ modifyBasisByOrientationTranspose()

◆ modifyMatrixByOrientation()

Member Data Documentation

◆ ortCoeffData

◆ ortInvCoeffData