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

#include <Intrepid2_OrientationTools.hpp>

Public Member Functions
template<typename VT >
KOKKOS_INLINE_FUNCTION void	getModifiedLinePoint (VT &ot, const VT pt, const ordinal_type ort)

template<typename VT >
KOKKOS_INLINE_FUNCTION void	getModifiedTrianglePoint (VT &ot0, VT &ot1, const VT pt0, const VT pt1, const ordinal_type ort)

template<typename VT >
KOKKOS_INLINE_FUNCTION void	getModifiedQuadrilateralPoint (VT &ot0, VT &ot1, const VT pt0, const VT pt1, const ordinal_type ort)

template<typename outPointViewType >
void	getJacobianOfOrientationMap (outPointViewType jacobian, const shards::CellTopology cellTopo, const ordinal_type cellOrt)

template<typename outPointViewType >
KOKKOS_INLINE_FUNCTION void	getJacobianOfOrientationMap (outPointViewType jacobian, const unsigned cellTopoKey, const ordinal_type cellOrt)

Static Public Member Functions
template<typename ValueType >
static KOKKOS_INLINE_FUNCTION void	getModifiedLinePoint (ValueType &ot, const ValueType pt, const ordinal_type ort)
	Computes modified point for line segment. More...

template<typename ValueType >
static KOKKOS_INLINE_FUNCTION void	getModifiedTrianglePoint (ValueType &ot0, ValueType &ot1, const ValueType pt0, const ValueType pt1, const ordinal_type ort)
	Computes modified point for triangle. More...

template<typename ValueType >
static KOKKOS_INLINE_FUNCTION void	getModifiedQuadrilateralPoint (ValueType &ot0, ValueType &ot1, const ValueType pt0, const ValueType pt1, const ordinal_type ort)
	Computes modified point for quadrilateral. More...

template<typename outPointViewType , typename refPointViewType >
static void	mapToModifiedReference (outPointViewType outPoints, const refPointViewType refPoints, const shards::CellTopology cellTopo, const ordinal_type cellOrt=0)
	Computes modified parameterization maps of 1- and 2-subcells with orientation. More...

template<typename outPointViewType , typename refPointViewType >
static KOKKOS_INLINE_FUNCTION void	mapToModifiedReference (outPointViewType outPoints, const refPointViewType refPoints, const unsigned cellTopoKey, const ordinal_type cellOrt=0)
	Computes modified parameterization maps of 1- and 2-subcells with orientation. More...

template<typename JacobianViewType >
static KOKKOS_INLINE_FUNCTION void	getLineJacobian (JacobianViewType jacobian, const ordinal_type ort)
	Computes Jacobian of orientation map for line segment. More...

template<typename JacobianViewType >
static KOKKOS_INLINE_FUNCTION void	getTriangleJacobian (JacobianViewType jacobian, const ordinal_type ort)
	Computes Jacobian of orientation map for triangle. More...

template<typename JacobianViewType >
static KOKKOS_INLINE_FUNCTION void	getQuadrilateralJacobian (JacobianViewType jacobian, const ordinal_type ort)
	Computes Jacobian of orientation map for quadrilateral. More...

template<typename JacobianViewType >
static void	getJacobianOfOrientationMap (JacobianViewType jacobian, const shards::CellTopology cellTopo, const ordinal_type cellOrt)
	Computes jacobian of the parameterization maps of 1- and 2-subcells with orientation. More...

template<typename JacobianViewType >
static KOKKOS_INLINE_FUNCTION void	getJacobianOfOrientationMap (JacobianViewType jacobian, const unsigned cellTopoKey, const ordinal_type cellOrt)
	Computes jacobian of the parameterization maps of 1- and 2-subcells with orientation. More...

template<typename OutputViewType , typename subcellBasisType , typename cellBasisType >
static void	getCoeffMatrix_HGRAD (OutputViewType &output, const subcellBasisType subcellBasis, const cellBasisType cellBasis, const ordinal_type subcellId, const ordinal_type subcellOrt)
	Compute coefficient matrix for HGRAD by collocating point values. More...

template<typename OutputViewType , typename subcellBasisType , typename cellBasisType >
static void	getCoeffMatrix_HCURL (OutputViewType &output, const subcellBasisType subcellBasis, const cellBasisType cellBasis, const ordinal_type subcellId, const ordinal_type subcellOrt)
	Compute coefficient matrix for HCURL by collocating point values. More...

template<typename OutputViewType , typename subcellBasisType , typename cellBasisType >
static void	getCoeffMatrix_HDIV (OutputViewType &output, const subcellBasisType subcellBasis, const cellBasisType cellBasis, const ordinal_type subcellId, const ordinal_type subcellOrt)
	Compute coefficient matrix for HDIV by collocating point values. More...

Detailed Description

Tools to compute orientations for degrees-of-freedom.

Definition at line 114 of file Intrepid2_OrientationTools.hpp.

Member Function Documentation

template<typename OutputViewType , typename subcellBasisType , typename cellBasisType >

void Intrepid2::Impl::OrientationTools::getCoeffMatrix_HCURL	(	OutputViewType &	output,
		const subcellBasisType	subcellBasis,
		const cellBasisType	cellBasis,
		const ordinal_type	subcellId,
		const ordinal_type	subcellOrt
	)

inlinestatic

Compute coefficient matrix for HCURL by collocating point values.

Parameters

output	[out] - rank 2 coefficient matrix
subcellBasis	[in] - subcell basis function
cellBasis	[in] - cell basis function
subcellId	[in] - subcell Id in the cell topology
subcellOrt	[in] - orientation number between 0 and 1

Definition at line 77 of file Intrepid2_OrientationToolsDefCoeffMatrix_HCURL.hpp.

References getJacobianOfOrientationMap(), Intrepid2::CellTools< ExecSpaceType >::getReferenceEdgeTangent(), Intrepid2::CellTools< ExecSpaceType >::getReferenceFaceTangents(), mapToModifiedReference(), and Intrepid2::CellTools< ExecSpaceType >::mapToReferenceSubcell().

template<typename OutputViewType , typename subcellBasisType , typename cellBasisType >

void Intrepid2::Impl::OrientationTools::getCoeffMatrix_HDIV	(	OutputViewType &	output,
		const subcellBasisType	subcellBasis,
		const cellBasisType	cellBasis,
		const ordinal_type	subcellId,
		const ordinal_type	subcellOrt
	)

inlinestatic

Compute coefficient matrix for HDIV by collocating point values.

Parameters

output	[out] - rank 2 coefficient matrix
subcellBasis	[in] - subcell basis function
cellBasis	[in] - cell basis function
subcellId	[in] - subcell Id in the cell topology
subcellOrt	[in] - orientation number between 0 and 1

Definition at line 81 of file Intrepid2_OrientationToolsDefCoeffMatrix_HDIV.hpp.

References getJacobianOfOrientationMap(), Intrepid2::CellTools< ExecSpaceType >::getReferenceSideNormal(), mapToModifiedReference(), and Intrepid2::CellTools< ExecSpaceType >::mapToReferenceSubcell().

template<typename OutputViewType , typename subcellBasisType , typename cellBasisType >

void Intrepid2::Impl::OrientationTools::getCoeffMatrix_HGRAD	(	OutputViewType &	output,
		const subcellBasisType	subcellBasis,
		const cellBasisType	cellBasis,
		const ordinal_type	subcellId,
		const ordinal_type	subcellOrt
	)

inlinestatic

Compute coefficient matrix for HGRAD by collocating point values.

Parameters

output	[out] - rank 2 coefficient matrix
subcellBasis	[in] - subcell basis function
cellBasis	[in] - cell basis function
subcellId	[in] - subcell Id in the cell topology
subcellOrt	[in] - orientation number between 0 and 1

Definition at line 73 of file Intrepid2_OrientationToolsDefCoeffMatrix_HGRAD.hpp.

References mapToModifiedReference(), and Intrepid2::CellTools< ExecSpaceType >::mapToReferenceSubcell().

template<typename JacobianViewType >

static void Intrepid2::Impl::OrientationTools::getJacobianOfOrientationMap	(	JacobianViewType	jacobian,
		const shards::CellTopology	cellTopo,
		const ordinal_type	cellOrt
	)

inlinestatic

Computes jacobian of the parameterization maps of 1- and 2-subcells with orientation.

Parameters

jacobian	[out] - rank-2 (D,D) array with jacobian of the orientation map
cellTopo	[in] - cell topology of the parameterized domain (1- and 2-subcells)
cellOrt	[in] - cell orientation number (zero is aligned with shards default configuration

Referenced by getCoeffMatrix_HCURL(), and getCoeffMatrix_HDIV().

template<typename JacobianViewType >

static KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getJacobianOfOrientationMap	(	JacobianViewType	jacobian,
		const unsigned	cellTopoKey,
		const ordinal_type	cellOrt
	)

static

Computes jacobian of the parameterization maps of 1- and 2-subcells with orientation.

Parameters

jacobian	[out] - rank-2 (D,D) array with jacobian of the orientation map
cellTopoKey	[in] - key of the cell topology of the parameterized domain (1- and 2-subcells)
cellOrt	[in] - cell orientation number (zero is aligned with shards default configuration

template<typename JacobianViewType >

KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getLineJacobian	(	JacobianViewType	jacobian,
		const ordinal_type	ort
	)

static

Computes Jacobian of orientation map for line segment.

Parameters

jacobian	[out] - rank-2 (D,D) array with jacobian of the orientation map
ort	[in] - orientation number between 0 and 1

Definition at line 91 of file Intrepid2_OrientationToolsDefModifyPoints.hpp.

template<typename ValueType >

static KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getModifiedLinePoint	(	ValueType &	ot,
		const ValueType	pt,
		const ordinal_type	ort
	)

static

Computes modified point for line segment.

Parameters

ot	[out] - modified point value
pt	[in] - input point in [-1.0 , 1.0]
ort	[in] - orientation number between 0 and 1

Referenced by mapToModifiedReference().

template<typename ValueType >

static KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getModifiedQuadrilateralPoint	(	ValueType &	ot0,
		ValueType &	ot1,
		const ValueType	pt0,
		const ValueType	pt1,
		const ordinal_type	ort
	)

static

Computes modified point for quadrilateral.

Parameters

ot0	[out] - modified coordinate 0
ot1	[out] - modified coordinate 1
pt0	[out] - input coordinate 0
pt1	[out] - input coordinate 1
ort	[in] - orientation number between 0 and 7

Referenced by mapToModifiedReference().

template<typename ValueType >

static KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getModifiedTrianglePoint	(	ValueType &	ot0,
		ValueType &	ot1,
		const ValueType	pt0,
		const ValueType	pt1,
		const ordinal_type	ort
	)

static

Computes modified point for triangle.

Parameters

ot0	[out] - modified coordinate 0
ot1	[out] - modified coordinate 1
pt0	[out] - input coordinate 0
pt1	[out] - input coordinate 1
ort	[in] - orientation number between 0 and 5

Referenced by mapToModifiedReference().

template<typename JacobianViewType >

KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getQuadrilateralJacobian	(	JacobianViewType	jacobian,
		const ordinal_type	ort
	)

static

Computes Jacobian of orientation map for quadrilateral.

Parameters

jacobian	[out] - rank-2 (D,D) array with jacobian of the orientation map
ort	[in] - orientation number between 0 and 7

Definition at line 219 of file Intrepid2_OrientationToolsDefModifyPoints.hpp.

template<typename JacobianViewType >

KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::getTriangleJacobian	(	JacobianViewType	jacobian,
		const ordinal_type	ort
	)

static

Computes Jacobian of orientation map for triangle.

Parameters

jacobian	[out] - rank-2 (D,D) array with jacobian of the orientation map
ort	[in] - orientation number between 0 and 5

Definition at line 150 of file Intrepid2_OrientationToolsDefModifyPoints.hpp.

template<typename outPointViewType , typename refPointViewType >

void Intrepid2::Impl::OrientationTools::mapToModifiedReference	(	outPointViewType	outPoints,
		const refPointViewType	refPoints,
		const shards::CellTopology	cellTopo,
		const ordinal_type	cellOrt = `0`
	)

inlinestatic

Computes modified parameterization maps of 1- and 2-subcells with orientation.

Parameters

outPoints	[out] - rank-2 (P,D2) array with points in 1D or 2D modified domain with orientation
refPoints	[in] - rank-2 (P,D2) array with points in 1D or 2D parameter domain
cellTopo	[in] - cell topology of the parameterized domain (1- and 2-subcells)
cellOrt	[in] - cell orientation number (zero is aligned with shards default configuration

Definition at line 254 of file Intrepid2_OrientationToolsDefModifyPoints.hpp.

Referenced by getCoeffMatrix_HCURL(), getCoeffMatrix_HDIV(), and getCoeffMatrix_HGRAD().

template<typename outPointViewType , typename refPointViewType >

KOKKOS_INLINE_FUNCTION void Intrepid2::Impl::OrientationTools::mapToModifiedReference	(	outPointViewType	outPoints,
		const refPointViewType	refPoints,
		const unsigned	cellTopoKey,
		const ordinal_type	cellOrt = `0`
	)

static

Computes modified parameterization maps of 1- and 2-subcells with orientation.

Parameters

outPoints	[out] - rank-2 (P,D2) array with points in 1D or 2D modified domain with orientation
refPoints	[in] - rank-2 (P,D2) array with points in 1D or 2D parameter domain
cellTopoKey	[in] - key of the cell topology of the parameterized domain (1- and 2-subcells)
cellOrt	[in] - cell orientation number (zero is aligned with shards default configuration

Definition at line 280 of file Intrepid2_OrientationToolsDefModifyPoints.hpp.

References getModifiedLinePoint(), getModifiedQuadrilateralPoint(), and getModifiedTrianglePoint().

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

http://docs.trilinos.org/r13.0/packages/intrepid2/src/Orientation/Intrepid2_OrientationTools.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Orientation/Intrepid2_OrientationToolsDefCoeffMatrix_HCURL.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Orientation/Intrepid2_OrientationToolsDefCoeffMatrix_HDIV.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Orientation/Intrepid2_OrientationToolsDefCoeffMatrix_HGRAD.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Orientation/Intrepid2_OrientationToolsDefModifyPoints.hpp

Public Member Functions

Static Public Member Functions

Detailed Description

Member Function Documentation