Utility class that provides methods for higher-order algebraic manipulation of user-defined arrays, such as tensor contractions. For low-order operations, see Intrepid2::RealSpaceTools. More...

#include <Intrepid2_ArrayTools.hpp>

Classes
class	Internal

Public Member Functions
template<typename outputValueType , class... outputProperties, typename inputValueType , class... inputProperties>
void	cloneFields (Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input)

template<typename outputValueType , class... outputProperties, typename inputValueType , class... inputProperties>
void	cloneData (Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input)

Static Public Member Functions
template<typename outputFieldValueType , class... outputFieldProperties, typename leftFieldValueType , class... leftFieldProperties, typename rightFieldValueType , class... rightFieldProperties>
static void	contractFieldFieldScalar (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< leftFieldValueType, leftFieldProperties...> leftFields, const Kokkos::DynRankView< rightFieldValueType, rightFieldProperties...> rightFields, const bool sumInto=false)
	Contracts the "point" dimension P of two rank-3 containers with dimensions (C,L,P) and (C,R,P), and returns the result in a rank-3 container with dimensions (C,L,R). More...

template<typename outputFieldValueType , class... outputFieldProperties, typename leftFieldValueType , class... leftFieldProperties, typename rightFieldValueType , class... rightFieldProperties>
static void	contractFieldFieldVector (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< leftFieldValueType, leftFieldProperties...> leftFields, const Kokkos::DynRankView< rightFieldValueType, rightFieldProperties...> rightFields, const bool sumInto=false)
	Contracts the "point" and "space" dimensions P and D1 of two rank-4 containers with dimensions (C,L,P,D1) and (C,R,P,D1), and returns the result in a rank-3 container with dimensions (C,L,R). More...

template<typename outputFieldValueType , class... outputFieldProperties, typename leftFieldValueType , class... leftFieldProperties, typename rightFieldValueType , class... rightFieldProperties>
static void	contractFieldFieldTensor (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< leftFieldValueType, leftFieldProperties...> leftFields, const Kokkos::DynRankView< rightFieldValueType, rightFieldProperties...> rightFields, const bool sumInto=false)
	Contracts the "point" and "space" dimensions P, D1, and D2 of two rank-5 containers with dimensions (C,L,P,D1,D2) and (C,R,P,D1,D2), and returns the result in a rank-3 container with dimensions (C,L,R). More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	contractDataFieldScalar (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields, const bool sumInto=false)
	Contracts the "point" dimensions P of a rank-3 containers and a rank-2 container with dimensions (C,F,P) and (C,P), respectively, and returns the result in a rank-2 container with dimensions (C,F). More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	contractDataFieldVector (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields, const bool sumInto=false)
	Contracts the "point" and "space" dimensions P and D of a rank-4 container and a rank-3 container with dimensions (C,F,P,D) and (C,P,D), respectively, and returns the result in a rank-2 container with dimensions (C,F). More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	contractDataFieldTensor (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields, const bool sumInto=false)
	Contracts the "point" and "space" dimensions P, D1 and D2 of a rank-5 container and a rank-4 container with dimensions (C,F,P,D1,D2) and (C,P,D1,D2), respectively, and returns the result in a rank-2 container with dimensions (C,F). More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	contractDataDataScalar (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight, const bool sumInto=false)
	Contracts the "point" dimensions P of rank-2 containers with dimensions (C,P), and returns the result in a rank-1 container with dimensions (C). More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	contractDataDataVector (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight, const bool sumInto=false)
	Contracts the "point" and "space" dimensions P and D of rank-3 containers with dimensions (C,P,D) and returns the result in a rank-1 container with dimensions (C). More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	contractDataDataTensor (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight, const bool sumInto=false)
	Contracts the "point" and "space" dimensions P, D1 and D2 of rank-4 containers with dimensions (C,P,D1,D2) and returns the result in a rank-1 container with dimensions (C). More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	scalarMultiplyDataField (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields, const bool reciprocal=false)
	There are two use cases: (1) multiplies a rank-3, 4, or 5 container inputFields with dimensions (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2), representing the values of a set of scalar, vector or tensor fields, by the values in a rank-2 container inputData indexed by (C,P), representing the values of scalar data, OR (2) multiplies a rank-2, 3, or 4 container inputFields with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or a tensor field, by the values in a rank-2 container inputData indexed by (C,P), representing the values of scalar data; the output value container outputFields is indexed by (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2), regardless of which of the two use cases is considered. More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	scalarMultiplyDataData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight, const bool reciprocal=false)
	There are two use cases: (1) multiplies a rank-2, 3, or 4 container inputDataRight with dimensions (C,P), (C,P,D1) or (C,P,D1,D2), representing the values of a set of scalar, vector or tensor data, by the values in a rank-2 container inputDataLeft indexed by (C,P), representing the values of scalar data, OR (2) multiplies a rank-1, 2, or 3 container inputDataRight with dimensions (P), (P,D1) or (P,D1,D2), representing the values of scalar, vector or tensor data, by the values in a rank-2 container inputDataLeft indexed by (C,P), representing the values of scalar data; the output value container outputData is indexed by (C,P), (C,P,D1) or (C,P,D1,D2), regardless of which of the two use cases is considered. More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	dotMultiplyDataField (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields)
	There are two use cases: (1) dot product of a rank-3, 4 or 5 container inputFields with dimensions (C,F,P) (C,F,P,D1) or (C,F,P,D1,D2), representing the values of a set of scalar, vector or tensor fields, by the values in a rank-2, 3 or 4 container inputData indexed by (C,P), (C,P,D1), or (C,P,D1,D2) representing the values of scalar, vector or tensor data, OR (2) dot product of a rank-2, 3 or 4 container inputFields with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or tensor field, by the values in a rank-2 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), representing the values of scalar, vector or tensor data; the output value container outputFields is indexed by (C,F,P), regardless of which of the two use cases is considered. More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	dotMultiplyDataData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight)
	There are two use cases: (1) dot product of a rank-2, 3 or 4 container inputDataRight with dimensions (C,P) (C,P,D1) or (C,P,D1,D2), representing the values of a scalar, vector or a tensor set of data, by the values in a rank-2, 3 or 4 container inputDataLeft indexed by (C,P), (C,P,D1), or (C,P,D1,D2) representing the values of scalar, vector or tensor data, OR (2) dot product of a rank-2, 3 or 4 container inputDataRight with dimensions (P), (P,D1) or (P,D1,D2), representing the values of scalar, vector or tensor data, by the values in a rank-2 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), representing the values of scalar, vector, or tensor data; the output value container outputData is indexed by (C,P), regardless of which of the two use cases is considered. More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	crossProductDataField (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields)
	There are two use cases: (1) cross product of a rank-4 container inputFields with dimensions (C,F,P,D), representing the values of a set of vector fields, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data, OR (2) cross product of a rank-3 container inputFields with dimensions (F,P,D), representing the values of a vector field, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data; the output value container outputFields is indexed by (C,F,P,D) in 3D (vector output) and by (C,F,P) in 2D (scalar output), regardless of which of the two use cases is considered. More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	crossProductDataData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight)
	There are two use cases: (1) cross product of a rank-3 container inputDataRight with dimensions (C,P,D), representing the values of a set of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D) representing the values of vector data, OR (2) cross product of a rank-2 container inputDataRight with dimensions (P,D), representing the values of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D), representing the values of vector data; the output value container outputData is indexed by (C,P,D) in 3D (vector output) and by (C,P) in 2D (scalar output), regardless of which of the two use cases is considered. More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	outerProductDataField (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields)
	There are two use cases: (1) outer product of a rank-4 container inputFields with dimensions (C,F,P,D), representing the values of a set of vector fields, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data, OR (2) outer product of a rank-3 container inputFields with dimensions (F,P,D), representing the values of a vector field, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data; the output value container outputFields is indexed by (C,F,P,D,D), regardless of which of the two use cases is considered. More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValuetype , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	outerProductDataData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValuetype, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight)
	There are two use cases: (1) outer product of a rank-3 container inputDataRight with dimensions (C,P,D), representing the values of a set of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D) representing the values of vector data, OR (2) outer product of a rank-2 container inputDataRight with dimensions (P,D), representing the values of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D), representing the values of vector data; the output value container outputData is indexed by (C,P,D,D), regardless of which of the two use cases is considered. More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	matvecProductDataField (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields, const char transpose= 'N')
	There are two use cases: (1) matrix-vector product of a rank-4 container inputFields with dimensions (C,F,P,D), representing the values of a set of vector fields, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-vector product of a rank-3 container inputFields with dimensions (F,P,D), representing the values of a vector field, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputFields is indexed by (C,F,P,D), regardless of which of the two use cases is considered. More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	matvecProductDataData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight, const char transpose= 'N')
	There are two use cases: (1) matrix-vector product of a rank-3 container inputDataRight with dimensions (C,P,D), representing the values of a set of vector data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-vector product of a rank-2 container inputDataRight with dimensions (P,D), representing the values of vector data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputData is indexed by (C,P,D), regardless of which of the two use cases is considered. More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	matmatProductDataField (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields, const char transpose= 'N')
	There are two use cases: (1) matrix-matrix product of a rank-5 container inputFields with dimensions (C,F,P,D1,D2), representing the values of a set of tensor fields, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-matrix product of a rank-4 container inputFields with dimensions (F,P,D1,D2), representing the values of a tensor field, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputFields is indexed by (C,F,P,D1,D2), regardless of which of the two use cases is considered. More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>
static void	matmatProductDataData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...> inputDataLeft, const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...> inputDataRight, const char transpose= 'N')
	There are two use cases: (1) matrix-matrix product of a rank-4 container inputDataRight with dimensions (C,P,D1,D2), representing the values of a set of tensor data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-matrix product of a rank-3 container inputDataRight with dimensions (P,D1,D2), representing the values of tensor data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputData is indexed by (C,P,D1,D2), regardless of which of the two use cases is considered. More...

template<typename outputFieldValueType , class... outputFieldProperties, typename inputFieldValueType , class... inputFieldProperties>
static void	cloneFields (Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...> outputFields, const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...> inputFields)
	Replicates a rank-2, 3, or 4 container with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or a tensor field, into an output value container of size (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2). More...

template<typename outputDataValueType , class... outputDataProperties, typename inputDataValueType , class... inputDataProperties>
static void	cloneData (Kokkos::DynRankView< outputDataValueType, outputDataProperties...> outputData, const Kokkos::DynRankView< inputDataValueType, inputDataProperties...> inputData)
	Replicates a rank-2, 3, or 4 container with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or a tensor field, into an output value container of size (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2). More...

Detailed Description

template<typename ExecSpaceType = void>
class Intrepid2::ArrayTools< ExecSpaceType >

Utility class that provides methods for higher-order algebraic manipulation of user-defined arrays, such as tensor contractions. For low-order operations, see Intrepid2::RealSpaceTools.

Note:

Compiled on devices (KOKKOS_INLINE_FUNCTION)
Callable on devices and Kokkos functor (no temporary allocation)
parallel_for inside of intrepid functions is dictated by the provided execution space
With Kokkos::Serial, functions (that already contain parallel_for) can be nested in Kokkos functors
When a function is decorated with KOKKOS_INLINE_FUNCTION, remove Teuchos testings and std::vectors

Definition at line 77 of file Intrepid2_ArrayTools.hpp.

Member Function Documentation

template<typename ExecSpaceType = void>

template<typename outputDataValueType , class... outputDataProperties, typename inputDataValueType , class... inputDataProperties>

static void Intrepid2::ArrayTools< ExecSpaceType >::cloneData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData
	)

static

Replicates a rank-2, 3, or 4 container with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or a tensor field, into an output value container of size (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2).

C  - num. integration domains
F  - num. fields
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Parameters

outputData	[out] - Output data array.
inputData	[in] - Input data array.

template<typename ExecSpaceType = void>

template<typename outputFieldValueType , class... outputFieldProperties, typename inputFieldValueType , class... inputFieldProperties>

static void Intrepid2::ArrayTools< ExecSpaceType >::cloneFields	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields
	)

static

Replicates a rank-2, 3, or 4 container with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or a tensor field, into an output value container of size (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2).

C  - num. integration domains
F  - num. fields
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Parameters

outputFields	[out] - Output fields array.
inputFields	[in] - Input fields array.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::HGRADtransformVALUE().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractDataDataScalar	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight,
		const bool	sumInto = `false`
	)

static

Contracts the "point" dimensions P of rank-2 containers with dimensions (C,P), and returns the result in a rank-1 container with dimensions (C).

C - num. integration domains dim0 in both input containers

P - num. integration points dim1 in both input containers

Parameters

outputData	[out] - Output data array.
inputDataLeft	[in] - Left data input array.
inputDataRight	[in] - Right data input array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 530 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractDataDataTensor	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight,
		const bool	sumInto = `false`
	)

static

Contracts the "point" and "space" dimensions P, D1 and D2 of rank-4 containers with dimensions (C,P,D1,D2) and returns the result in a rank-1 container with dimensions (C).

C - num. integration domains                     dim0 in both input containers
P - num. integration points                      dim1 in both input containers
D1 - first spatial (tensor) dimension index      dim2 in both input containers
D2 - second spatial (tensor) dimension index     dim3 in both input containers

Parameters

outputData	[out] - Output data array.
inputDataLeft	[in] - Left data input array.
inputDataRight	[in] - Right data input array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 602 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractDataDataVector	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight,
		const bool	sumInto = `false`
	)

static

Contracts the "point" and "space" dimensions P and D of rank-3 containers with dimensions (C,P,D) and returns the result in a rank-1 container with dimensions (C).

C - num. integration domains                dim0 in both input containers
P - num. integration points                 dim1 in both input containers
D - spatial (vector) dimension index        dim2 in both input containers

Parameters

outputData	[out] - Output data array.
inputDataLeft	[in] - Left data input array.
inputDataRight	[in] - Right data input array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 565 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractDataFieldScalar	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields,
		const bool	sumInto = `false`
	)

static

Contracts the "point" dimensions P of a rank-3 containers and a rank-2 container with dimensions (C,F,P) and (C,P), respectively, and returns the result in a rank-2 container with dimensions (C,F).

For a fixed index "C", (C,F) represents a (column) vector of length F.

C - num. integration domains       dim0 in both input containers
F - num. fields                    dim1 in fields input container
P - num. integration points        dim2 in fields input container and dim1 in scalar data container

Parameters

outputFields	[out] - Output fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 408 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractDataFieldTensor	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields,
		const bool	sumInto = `false`
	)

static

Contracts the "point" and "space" dimensions P, D1 and D2 of a rank-5 container and a rank-4 container with dimensions (C,F,P,D1,D2) and (C,P,D1,D2), respectively, and returns the result in a rank-2 container with dimensions (C,F).

For a fixed index "C", (C,F) represents a (column) vector of length F.

C  - num. integration domains                       dim0 in both input containers
F  - num. fields                                    dim1 in fields input container
P  - num. integration points                        dim2 in fields input container and dim1 in tensor data container
D1 - first spatial (tensor) dimension index         dim3 in fields input container and dim2 in tensor data container
D2 - second spatial (tensor) dimension index        dim4 in fields input container and dim3 in tensor data container

Parameters

outputFields	[out] - Output fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 488 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractDataFieldVector	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields,
		const bool	sumInto = `false`
	)

static

Contracts the "point" and "space" dimensions P and D of a rank-4 container and a rank-3 container with dimensions (C,F,P,D) and (C,P,D), respectively, and returns the result in a rank-2 container with dimensions (C,F).

For a fixed index "C", (C,F) represents a (column) vector of length F.

C - num. integration domains                dim0 in both input containers
F - num. fields                             dim1 in fields input container
P - num. integration points                 dim2 in fields input container and dim1 in vector data container
D - spatial (vector) dimension index        dim3 in fields input container and dim2 in vector data container

Parameters

outputFields	[out] - Output fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 447 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename leftFieldValueType , class... leftFieldProperties, typename rightFieldValueType , class... rightFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractFieldFieldScalar	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< leftFieldValueType, leftFieldProperties...>	leftFields,
		const Kokkos::DynRankView< rightFieldValueType, rightFieldProperties...>	rightFields,
		const bool	sumInto = `false`
	)

static

Contracts the "point" dimension P of two rank-3 containers with dimensions (C,L,P) and (C,R,P), and returns the result in a rank-3 container with dimensions (C,L,R).

C - num. integration domains       dim0 in both input containers
L - num. "left" fields             dim1 in "left" container
R - num. "right" fields            dim1 in "right" container
P - num. integration points        dim2 in both input containers

Parameters

outputFields	[out] - Output (product) fields array.
leftFields	[in] - Left input array.
rightFields	[in] - Right input array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 284 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename leftFieldValueType , class... leftFieldProperties, typename rightFieldValueType , class... rightFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractFieldFieldTensor	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< leftFieldValueType, leftFieldProperties...>	leftFields,
		const Kokkos::DynRankView< rightFieldValueType, rightFieldProperties...>	rightFields,
		const bool	sumInto = `false`
	)

static

Contracts the "point" and "space" dimensions P, D1, and D2 of two rank-5 containers with dimensions (C,L,P,D1,D2) and (C,R,P,D1,D2), and returns the result in a rank-3 container with dimensions (C,L,R).

For a fixed index "C", (C,L,R) represents a rectangular L X R matrix where L and R may be different.

C - num. integration domains       dim0 in both input containers
L - num. "left" fields             dim1 in "left" container
R - num. "right" fields            dim1 in "right" container
P - num. integration points        dim2 in both input containers
D1- vector dimension               dim3 in both input containers
D2- 2nd tensor dimension           dim4 in both input containers

Parameters

outputFields	[out] - Output array.
leftFields	[in] - Left input array.
rightFields	[in] - Right input array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 365 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename leftFieldValueType , class... leftFieldProperties, typename rightFieldValueType , class... rightFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::contractFieldFieldVector	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< leftFieldValueType, leftFieldProperties...>	leftFields,
		const Kokkos::DynRankView< rightFieldValueType, rightFieldProperties...>	rightFields,
		const bool	sumInto = `false`
	)

static

Contracts the "point" and "space" dimensions P and D1 of two rank-4 containers with dimensions (C,L,P,D1) and (C,R,P,D1), and returns the result in a rank-3 container with dimensions (C,L,R).

For a fixed index "C", (C,L,R) represents a rectangular L X R matrix where L and R may be different.

C - num. integration domains       dim0 in both input containers
L - num. "left" fields             dim1 in "left" container
R - num. "right" fields            dim1 in "right" container
P - num. integration points        dim2 in both input containers
D1- vector dimension               dim3 in both input containers

Parameters

outputFields	[out] - Output array.
leftFields	[in] - Left input array.
rightFields	[in] - Right input array.
sumInto	[in] - If TRUE, sum into given output array, otherwise overwrite it. Default: FALSE.

Definition at line 324 of file Intrepid2_ArrayToolsDefContractions.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::integrate().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::crossProductDataData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight
	)

static

There are two use cases: (1) cross product of a rank-3 container inputDataRight with dimensions (C,P,D), representing the values of a set of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D) representing the values of vector data, OR (2) cross product of a rank-2 container inputDataRight with dimensions (P,D), representing the values of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D), representing the values of vector data; the output value container outputData is indexed by (C,P,D) in 3D (vector output) and by (C,P) in 2D (scalar output), regardless of which of the two use cases is considered.

C  - num. integration domains
P  - num. integration points
D  - spatial dimension of vector data and vector fields

Parameters

outputData	[out] - Output (cross product) data array.
inputDataLeft	[in] - Left input data array.
inputDataRight	[in] - Right input data array.

Definition at line 269 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::vectorMultiplyDataData().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::crossProductDataField	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields
	)

static

There are two use cases: (1) cross product of a rank-4 container inputFields with dimensions (C,F,P,D), representing the values of a set of vector fields, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data, OR (2) cross product of a rank-3 container inputFields with dimensions (F,P,D), representing the values of a vector field, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data; the output value container outputFields is indexed by (C,F,P,D) in 3D (vector output) and by (C,F,P) in 2D (scalar output), regardless of which of the two use cases is considered.

C  - num. integration domains
F  - num. fields
P  - num. integration points
D  - spatial dimension of vector data and vector fields

Parameters

outputFields	[out] - Output (cross product) fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.

Definition at line 146 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::vectorMultiplyDataField().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::dotMultiplyDataData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight
	)

static

There are two use cases: (1) dot product of a rank-2, 3 or 4 container inputDataRight with dimensions (C,P) (C,P,D1) or (C,P,D1,D2), representing the values of a scalar, vector or a tensor set of data, by the values in a rank-2, 3 or 4 container inputDataLeft indexed by (C,P), (C,P,D1), or (C,P,D1,D2) representing the values of scalar, vector or tensor data, OR (2) dot product of a rank-2, 3 or 4 container inputDataRight with dimensions (P), (P,D1) or (P,D1,D2), representing the values of scalar, vector or tensor data, by the values in a rank-2 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), representing the values of scalar, vector, or tensor data; the output value container outputData is indexed by (C,P), regardless of which of the two use cases is considered.

For input fields containers without a dimension index, this operation reduces to scalar multiplication.

C  - num. integration domains
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Parameters

outputData	[out] - Output (dot product) data array.
inputDataLeft	[in] - Left input data array.
inputDataRight	[in] - Right input data array.

Definition at line 211 of file Intrepid2_ArrayToolsDefDot.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::dotMultiplyDataData(), and Intrepid2::Experimental::LagrangianInterpolation< ExecSpaceType >::getBasisCoeffs().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::dotMultiplyDataField	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields
	)

static

There are two use cases: (1) dot product of a rank-3, 4 or 5 container inputFields with dimensions (C,F,P) (C,F,P,D1) or (C,F,P,D1,D2), representing the values of a set of scalar, vector or tensor fields, by the values in a rank-2, 3 or 4 container inputData indexed by (C,P), (C,P,D1), or (C,P,D1,D2) representing the values of scalar, vector or tensor data, OR (2) dot product of a rank-2, 3 or 4 container inputFields with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or tensor field, by the values in a rank-2 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), representing the values of scalar, vector or tensor data; the output value container outputFields is indexed by (C,F,P), regardless of which of the two use cases is considered.

For input fields containers without a dimension index, this operation reduces to scalar multiplication.

C  - num. integration domains
F  - num. fields
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Parameters

outputFields	[out] - Output (dot product) field array.
inputData	[in] - Data array.
inputFields	[in] - Field array.

Definition at line 147 of file Intrepid2_ArrayToolsDefDot.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::dotMultiplyDataField().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::matmatProductDataData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight,
		const char	transpose = `'N'`
	)

static

There are two use cases: (1) matrix-matrix product of a rank-4 container inputDataRight with dimensions (C,P,D1,D2), representing the values of a set of tensor data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-matrix product of a rank-3 container inputDataRight with dimensions (P,D1,D2), representing the values of tensor data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputData is indexed by (C,P,D1,D2), regardless of which of the two use cases is considered.

Remarks

The rank of inputData implicitly defines the type of tensor data:

rank = 2 corresponds to a constant diagonal tensor $diag(a,\ldots,a)$
rank = 3 corresponds to a nonconstant diagonal tensor $diag(a_1,\ldots,a_d)$
rank = 4 corresponds to a full tensor $\{a_{ij}\}$

Note: It is assumed that all tensors are square!; The method is defined for spatial dimensions D = 1, 2, 3

C    - num. integration domains
P    - num. integration points
D1*  - first spatial (tensor) dimension index
D2** - second spatial (tensor) dimension index

Parameters

outputData	[out] - Output (matrix-vector product) data array.
inputDataLeft	[in] - Left input data array.
inputDataRight	[in] - Right input data array.
transpose	[in] - If 'T', use transposed tensor; if 'N', no transpose. Default: 'N'.

Definition at line 1413 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::tensorMultiplyDataData().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::matmatProductDataField	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields,
		const char	transpose = `'N'`
	)

static

There are two use cases: (1) matrix-matrix product of a rank-5 container inputFields with dimensions (C,F,P,D1,D2), representing the values of a set of tensor fields, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-matrix product of a rank-4 container inputFields with dimensions (F,P,D1,D2), representing the values of a tensor field, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputFields is indexed by (C,F,P,D1,D2), regardless of which of the two use cases is considered.

Remarks

The rank of inputData implicitly defines the type of tensor data:

rank = 2 corresponds to a constant diagonal tensor $diag(a,\ldots,a)$
rank = 3 corresponds to a nonconstant diagonal tensor $diag(a_1,\ldots,a_d)$
rank = 4 corresponds to a full tensor $\{a_{ij}\}$

Note: It is assumed that all tensors are square!; The method is defined for spatial dimensions D = 1, 2, 3

C    - num. integration domains
F    - num. fields
P    - num. integration points
D1*  - first spatial (tensor) dimension index
D2** - second spatial (tensor) dimension index

Parameters

outputFields	[out] - Output (matrix-matrix product) fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.
transpose	[in] - If 'T', use transposed tensor; if 'N', no transpose. Default: 'N'.

Definition at line 1249 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::tensorMultiplyDataField().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::matvecProductDataData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight,
		const char	transpose = `'N'`
	)

static

There are two use cases: (1) matrix-vector product of a rank-3 container inputDataRight with dimensions (C,P,D), representing the values of a set of vector data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-vector product of a rank-2 container inputDataRight with dimensions (P,D), representing the values of vector data, on the left by the values in a rank-2, 3, or 4 container inputDataLeft indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputData is indexed by (C,P,D), regardless of which of the two use cases is considered.

Remarks

The rank of inputDataLeft implicitly defines the type of tensor data:

rank = 2 corresponds to a constant diagonal tensor $diag(a,\ldots,a)$
rank = 3 corresponds to a nonconstant diagonal tensor $diag(a_1,\ldots,a_d)$
rank = 4 corresponds to a full tensor $\{a_{ij}\}$

Note: It is assumed that all tensors are square!

C    - num. integration domains
P    - num. integration points
D    - spatial dimension
D1*  - first tensor dimensions, equals the spatial dimension D
D2** - second tensor dimension, equals the spatial dimension D

Parameters

outputData	[out] - Output (matrix-vector product) data array.
inputDataLeft	[in] - Left input data array.
inputDataRight	[in] - Right input data array.
transpose	[in] - If 'T', use transposed tensor; if 'N', no transpose. Default: 'N'.

Definition at line 972 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::tensorMultiplyDataData().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::matvecProductDataField	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields,
		const char	transpose = `'N'`
	)

static

There are two use cases: (1) matrix-vector product of a rank-4 container inputFields with dimensions (C,F,P,D), representing the values of a set of vector fields, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data, OR (2) matrix-vector product of a rank-3 container inputFields with dimensions (F,P,D), representing the values of a vector field, on the left by the values in a rank-2, 3, or 4 container inputData indexed by (C,P), (C,P,D1) or (C,P,D1,D2), respectively, representing the values of tensor data; the output value container outputFields is indexed by (C,F,P,D), regardless of which of the two use cases is considered.

Remarks

The rank of inputData implicitly defines the type of tensor data:

rank = 2 corresponds to a constant diagonal tensor $diag(a,\ldots,a)$
rank = 3 corresponds to a nonconstant diagonal tensor $diag(a_1,\ldots,a_d)$
rank = 4 corresponds to a full tensor $\{a_{ij}\}$

Note: It is assumed that all tensors are square!; The method is defined for spatial dimensions D = 1, 2, 3

C    - num. integration domains
F    - num. fields
P    - num. integration points
D    - spatial dimension
D1*  - first tensor dimensions, equals the spatial dimension D
D2** - second tensor dimension, equals the spatial dimension D

Parameters

outputFields	[out] - Output (matrix-vector product) fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.
transpose	[in] - If 'T', use transposed tensor; if 'N', no transpose. Default: 'N'.

Definition at line 818 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::HCURLtransformVALUE(), Intrepid2::FunctionSpaceTools< ExecSpaceType >::HDIVtransformVALUE(), and Intrepid2::FunctionSpaceTools< ExecSpaceType >::tensorMultiplyDataField().

template<typename ExecSpaceType >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValuetype , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::outerProductDataData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValuetype, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight
	)

static

There are two use cases: (1) outer product of a rank-3 container inputDataRight with dimensions (C,P,D), representing the values of a set of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D) representing the values of vector data, OR (2) outer product of a rank-2 container inputDataRight with dimensions (P,D), representing the values of vector data, on the left by the values in a rank-3 container inputDataLeft indexed by (C,P,D), representing the values of vector data; the output value container outputData is indexed by (C,P,D,D), regardless of which of the two use cases is considered.

C  - num. integration domains
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Parameters

outputData	[out] - Output (outer product) data array.
inputDataLeft	[in] - Left input data array.
inputDataRight	[in] - Right input data array.

Definition at line 574 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::vectorMultiplyDataData().

template<typename ExecSpaceType >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< ExecSpaceType >::outerProductDataField	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields
	)

static

There are two use cases: (1) outer product of a rank-4 container inputFields with dimensions (C,F,P,D), representing the values of a set of vector fields, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data, OR (2) outer product of a rank-3 container inputFields with dimensions (F,P,D), representing the values of a vector field, on the left by the values in a rank-3 container inputData indexed by (C,P,D), representing the values of vector data; the output value container outputFields is indexed by (C,F,P,D,D), regardless of which of the two use cases is considered.

C  - num. integration domains
F  - num. fields
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Parameters

outputFields	[out] - Output (outer product) fields array.
inputData	[in] - Data array.
inputFields	[in] - Input fields array.

Definition at line 467 of file Intrepid2_ArrayToolsDefTensor.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::vectorMultiplyDataField().

template<typename SpT >

template<typename outputDataValueType , class... outputDataProperties, typename inputDataLeftValueType , class... inputDataLeftProperties, typename inputDataRightValueType , class... inputDataRightProperties>

void Intrepid2::ArrayTools< SpT >::scalarMultiplyDataData	(	Kokkos::DynRankView< outputDataValueType, outputDataProperties...>	outputData,
		const Kokkos::DynRankView< inputDataLeftValueType, inputDataLeftProperties...>	inputDataLeft,
		const Kokkos::DynRankView< inputDataRightValueType, inputDataRightProperties...>	inputDataRight,
		const bool	reciprocal = `false`
	)

static

There are two use cases: (1) multiplies a rank-2, 3, or 4 container inputDataRight with dimensions (C,P), (C,P,D1) or (C,P,D1,D2), representing the values of a set of scalar, vector or tensor data, by the values in a rank-2 container inputDataLeft indexed by (C,P), representing the values of scalar data, OR (2) multiplies a rank-1, 2, or 3 container inputDataRight with dimensions (P), (P,D1) or (P,D1,D2), representing the values of scalar, vector or tensor data, by the values in a rank-2 container inputDataLeft indexed by (C,P), representing the values of scalar data; the output value container outputData is indexed by (C,P), (C,P,D1) or (C,P,D1,D2), regardless of which of the two use cases is considered.

C  - num. integration domains
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Note: The arguments inputDataLeft, inputDataRight can be changed! This enables in-place multiplication.

Parameters

outputData	[out] - Output data array.
inputDataLeft	[in] - Left (multiplying) data array.
inputDataRight	[in] - Right (being multiplied) data array.
reciprocal	[in] - If TRUE, divides input fields by the data (instead of multiplying). Default: FALSE.

Definition at line 212 of file Intrepid2_ArrayToolsDefScalar.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::computeEdgeMeasure(), Intrepid2::FunctionSpaceTools< ExecSpaceType >::computeFaceMeasure(), and Intrepid2::FunctionSpaceTools< ExecSpaceType >::scalarMultiplyDataData().

template<typename SpT >

template<typename outputFieldValueType , class... outputFieldProperties, typename inputDataValueType , class... inputDataProperties, typename inputFieldValueType , class... inputFieldProperties>

void Intrepid2::ArrayTools< SpT >::scalarMultiplyDataField	(	Kokkos::DynRankView< outputFieldValueType, outputFieldProperties...>	outputFields,
		const Kokkos::DynRankView< inputDataValueType, inputDataProperties...>	inputData,
		const Kokkos::DynRankView< inputFieldValueType, inputFieldProperties...>	inputFields,
		const bool	reciprocal = `false`
	)

static

There are two use cases: (1) multiplies a rank-3, 4, or 5 container inputFields with dimensions (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2), representing the values of a set of scalar, vector or tensor fields, by the values in a rank-2 container inputData indexed by (C,P), representing the values of scalar data, OR (2) multiplies a rank-2, 3, or 4 container inputFields with dimensions (F,P), (F,P,D1) or (F,P,D1,D2), representing the values of a scalar, vector or a tensor field, by the values in a rank-2 container inputData indexed by (C,P), representing the values of scalar data; the output value container outputFields is indexed by (C,F,P), (C,F,P,D1) or (C,F,P,D1,D2), regardless of which of the two use cases is considered.

C  - num. integration domains
F  - num. fields
P  - num. integration points
D1 - first spatial (tensor) dimension index
D2 - second spatial (tensor) dimension index

Note: The argument inputFields can be changed! This enables in-place multiplication.

Parameters

outputFields	[out] - Output (product) fields array.
inputData	[in] - Data (multiplying) array.
inputFields	[in] - Input (being multiplied) fields array.
reciprocal	[in] - If TRUE, divides input fields by the data (instead of multiplying). Default: FALSE.

Definition at line 131 of file Intrepid2_ArrayToolsDefScalar.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::HDIVtransformVALUE(), Intrepid2::FunctionSpaceTools< ExecSpaceType >::HVOLtransformVALUE(), and Intrepid2::FunctionSpaceTools< ExecSpaceType >::scalarMultiplyDataField().

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

http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_ArrayTools.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_ArrayToolsDefCloneScale.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_ArrayToolsDefContractions.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_ArrayToolsDefDot.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_ArrayToolsDefScalar.hpp
http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_ArrayToolsDefTensor.hpp

Classes

Public Member Functions

Static Public Member Functions

Detailed Description

template<typename ExecSpaceType = void> class Intrepid2::ArrayTools< ExecSpaceType >

Member Function Documentation

template<typename ExecSpaceType = void>
class Intrepid2::ArrayTools< ExecSpaceType >