A class for second order tensors. More...

#include <tensor.h>

Public Member Functions
	Tensor2 ()
	Default constructor. More...

	Tensor2 (const unsigned int n1, const unsigned int n2)
	Constructor for a zeroed tensor. More...

	Tensor2 (const Tensor2< T > &A)
	Copy constructor. More...

unsigned int	getn1 () const

unsigned int	getn2 () const

unsigned int	getNVals () const

T	getVal (const unsigned int i, const unsigned int j) const
	Get the value of \(T_{ij}\). More...

T	getValFlat (const unsigned int flatIdx) const
	Get the value of \(T_{i}\). More...

void	setVal (const unsigned int i, const unsigned int j, T val)

T &	operator() (const unsigned int i, const unsigned int j)
	Get the a reference to the value of \(T_{ij}\). More...

T &	operator() (const unsigned int flatIdx)

void	copyValuesOut (T *outVals) const

	Tensor2 (const Tensor4< T > &A)
	Construct a square second order tensor from a square fourth order tensor. More...

Tensor2< T > &	operator= (const Tensor2< T > &input)
	The standard assignment operator. More...

void	printToStream (std::ostream &out) const
	Pretty printing to stream. More...

	Tensor2 (H5::DataSet &dataset, std::vector< hsize_t > gridOffset, std::vector< hsize_t > tensorDims)
	Construct from HD5 dataset and offset. More...

void	writeToExistingHDF5Dataset (H5::DataSet &dataset, std::vector< hsize_t > arrayOffset)

	Tensor2 (H5::H5File &file, const H5std_string &datasetName, std::vector< hsize_t > tensorDims)
	Construct from HD5 file and dataset name. More...

void	writeToNewHDF5 (const H5std_string &filename, const H5std_string &datasetName)

void	addAsNewHDF5Dataset (H5::H5File &file, const H5std_string &datasetName)
	Adding to an HDF5 file as a new dataset. More...

	Tensor2 (hid_t dset_id, hid_t plist_id, std::vector< hsize_t > gridOffset, std::vector< hsize_t > tensorDims)
	Construct from HD5 dataset and offset. More...

void	writeToExistingHDF5Dataset (hid_t dset_id, hid_t plist_id, std::vector< hsize_t > arrayOffset)

void	invInPlace ()
	The inverse of the tensor. More...

Tensor2< T >	inv () const
	The inverse of the tensor. More...

Tensor2< T >	exp () const
	The matrix exponential of the tensor. More...

void	assertSquare () const

bool	isRotationMatrix () const

T	tr () const
	The trace of the tensor. More...

T	det () const
	The determinant of the tensor. More...

T	min () const
	The minimum element in the tensor. More...

T	max () const
	The maximum element in the tensor. More...

T	absmax () const
	The maximum element in the tensor. More...

T	spectralNorm () const

T	frobeniusNorm () const

T	prod () const
	Product of all elements. More...

Tensor2< T >	abs () const
	The element-wise absolute value of the tensor. More...

Tensor2< T >	trans () const
	The transpose of the tensor. More...

Tensor2< T >	constrainedTo (const T minVal, const T maxVal) const
	Creates a new tensor with the values of the elements constrained between two values. More...

void	constrainInPlace (const T minVal, const T maxVal)
	Replaces the elements with their values constrained between two limits. More...

Tensor2< T >	scaledToUnitDeterminant () const
	Create a tensor with the values uniformly scaled so that the new tensor has unit determinant. More...

Tensor2< T >	deviatoricComponent () const
	The deviatoric component of the tensor. More...

void	evecDecomposition (std::valarray< T > &evals, Tensor2< T > &evecs)

Tensor2< T >	sqrtMatrix ()
	Matrix square root of the tensor. More...

PolarDecomposition< T >	polarDecomposition () const
	Polar decomposition of the tensor. More...

Protected Attributes
unsigned int	n1 = 0
	the first dimension of the tensor More...

unsigned int	n2 = 0
	the second dimension of the tensor More...

unsigned int	nVals = 0
	the total number of elements in the tensor More...

std::valarray< T >	vals
	the underlying 1D array More...

Private Member Functions
void	initialize (const unsigned int n1, const unsigned int n2)
	Initialize the dimensions and allocation for the tensor. More...

void	copyValues (const Tensor2< T > &input)
	Copy the values from one tensor to another. More...

void	constructFromHDF5Dataset (H5::DataSet &dataset, std::vector< hsize_t > gridOffset, std::vector< hsize_t > tensorDims)

void	constructFromHDF5Dataset (hid_t dset_id, hid_t plist_id, std::vector< hsize_t > gridOffset, std::vector< hsize_t > tensorDims)

	Tensor2 (const unsigned int n1, const unsigned int n2, const T *inArray)
	Constructor for a populated tensor. More...

	Tensor2 (const unsigned int n1, const unsigned int n2, const std::valarray< T > &inVec)
	Constructor for a populated tensor. More...

unsigned int	flat (const unsigned int i, const unsigned int j) const
	Flatten the two indices of the tensor. More...

idx2d	unflat (const unsigned int idx) const
	Unflatten the two indices of the tensor. More...

Private Attributes
friend	Tensor4< T >

Friends
template<typename U , unsigned int M, unsigned int N>
class	Tensor2CUDA

template<typename U >
bool	areSameShape (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
void	assertSameShape (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
void	assertCompatibleForMultiplication (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
void	assertCompatibleForContraction (const Tensor4< U > &A, const Tensor2< U > &B)

template<typename U >
void	assertCompatibleForContraction (const Tensor4< U > &A, const Tensor2< U > &B, const Tensor2< U > &C)

template<typename U >
bool	areEqual (const Tensor2< U > &A, const Tensor2< U > &B, U tol)

template<typename U >
bool	operator== (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
bool	operator!= (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
Tensor2< U >	operator* (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
void	ABPlusBTransposeAInPlace (const hpp::Tensor2< U > &A, const hpp::Tensor2< U > &B, hpp::Tensor2< U > &C)

template<typename U >
Tensor2< U >	contract (const Tensor4< U > &A, const Tensor2< U > &B)

template<typename U >
U	contract (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
void	contractInPlace (const Tensor4< U > &A, const Tensor2< U > &B, Tensor2< U > &C)

template<typename U >
void	assertCompatibleForOuterProduct (const Tensor2< U > &A, const Tensor2< U > &B, const Tensor4< U > &C)

template<typename U >
Tensor4< U >	outer (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
void	outerInPlace (const Tensor2< U > &A, const Tensor2< U > &B, Tensor4< U > &C)

template<typename U >
Tensor2< U >	operator+ (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
Tensor2< U >	operator+ (const Tensor2< U > &A, const U &B)

template<typename U >
Tensor2< U >	operator+ (const U &A, const Tensor2< U > &B)

template<typename U >
void	operator+= (Tensor2< U > &A, const U &B)

template<typename U >
void	operator+= (Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
Tensor2< U >	MPISum (Tensor2< U > &local, MPI_Comm comm)

template<typename U >
Tensor2< U >	operator- (const Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
Tensor2< U >	operator- (const Tensor2< U > &A, const U &B)

template<typename U >
Tensor2< U >	operator- (const U &A, const Tensor2< U > &B)

template<typename U >
void	operator-= (Tensor2< U > &A, const U &B)

template<typename U >
void	operator-= (Tensor2< U > &A, const Tensor2< U > &B)

template<typename U >
Tensor2< U >	operator* (const Tensor2< U > &A, const U &B)

template<typename U >
Tensor2< U >	operator* (const U &A, const Tensor2< U > &B)

template<typename U >
void	operator*= (Tensor2< U > &A, const U &B)

template<typename U >
Tensor2< U >	operator/ (const Tensor2< U > &A, const U &B)

template<typename U >
void	operator/= (Tensor2< U > &A, const U &B)

template<typename U >
void	identityTensor2InPlace (unsigned int n, Tensor2< U > &A)

Detailed Description

template<typename T>
class hpp::Tensor2< T >

A class for second order tensors.

Template Parameters

T	the scalar type

Constructor & Destructor Documentation

template<typename T >

hpp::Tensor2< T >::Tensor2 ( )

Default constructor.

Sets dimensions to zero

template<typename T >

hpp::Tensor2< T >::Tensor2	(	const unsigned int	n1,
		const unsigned int	n2
	)

Constructor for a zeroed tensor.

Parameters

n1	the first dimension of the tensor
n2	the second dimension of the tensor

Template Parameters

T	the scalar type

Returns: the zeroed tensor of dimension n1xn2

template<typename T>

hpp::Tensor2< T >::Tensor2 ( const Tensor2< T > & A )

Copy constructor.

Parameters

A	the tensor to copy from

template<typename T>

hpp::Tensor2< T >::Tensor2 ( const Tensor4< T > & A )

explicit

Construct a square second order tensor from a square fourth order tensor.

This is primarily used for intermediate steps in constructing fourth order inverses with respect to the contraction between a 4th order tensor and a 2nd order tensor.

The 4th order tensor \(\mathbf{A}\), of dimension \(n \times n \times n \times n\) is flattened into the 2nd order tensor \(\mathbf{B}\), of dimension \( n^2 \times n^2 \) according to:

\[ \mathbf{A}_{ijkl} = \mathbf{B}_{in+j,kn+l}. \]

That is, it is a row-major flattening.

Parameters

A	the 4th order tensor \(\mathbf{A}\)

Template Parameters

T	the scalar type

Returns: the 2nd order tensor \(\mathbf{B}\)

template<typename T>

hpp::Tensor2< T >::Tensor2	(	H5::DataSet &	dataset,
		std::vector< hsize_t >	gridOffset,
		std::vector< hsize_t >	tensorDims
	)

Construct from HD5 dataset and offset.

Using the HDF5 C++ API

Parameters

dataset
gridOffset
tensorDims

template<typename T>

hpp::Tensor2< T >::Tensor2	(	H5::H5File &	file,
		const H5std_string &	datasetName,
		std::vector< hsize_t >	tensorDims
	)

Construct from HD5 file and dataset name.

Where the dataset itself is just the tensor

Parameters

file
datasetName
tensorDims	the dimension of the tensor to load

template<typename T>

hpp::Tensor2< T >::Tensor2	(	hid_t	dset_id,
		hid_t	plist_id,
		std::vector< hsize_t >	gridOffset,
		std::vector< hsize_t >	tensorDims
	)

Construct from HD5 dataset and offset.

Uses the HDF5 C API

Parameters

dset_id
plist_id
gridOffset
tensorDims

template<typename T>

hpp::Tensor2< T >::Tensor2	(	const unsigned int	n1,
		const unsigned int	n2,
		const T *	inVals
	)

private

Constructor for a populated tensor.

Populates the values of the tensor from a 1D array of values that have to have the same layout as the the underlying array

Parameters

n1	the first dimension of the tensor
n2	the second dimension of the tensor
inVals	the array to be copied in

Template Parameters

T	the scalar type

Returns: the populated tensor of dimension n1xn2

template<typename T>

hpp::Tensor2< T >::Tensor2	(	const unsigned int	n1,
		const unsigned int	n2,
		const std::valarray< T > &	inVals
	)

private

Constructor for a populated tensor.

Populates the values of the tensor from an STL vector of values that have to have the same layout as the the underlying array

Parameters

n1	the first dimension of the tensor
n2	the second dimension of the tensor
inVals	the STL vector to be copied in

Template Parameters

T	the scalar type

Returns: the populated tensor of dimension n1xn2

Member Function Documentation

template<typename T >

Tensor2< T > hpp::Tensor2< T >::abs ( ) const

The element-wise absolute value of the tensor.

Template Parameters

T	the scalar type

Returns: the element-wise absolute value of the tensor

template<typename T >

T hpp::Tensor2< T >::absmax ( ) const

The maximum element in the tensor.

Template Parameters

T	the scalar type

Returns: the maximum element in the tensor

template<typename T >

void hpp::Tensor2< T >::addAsNewHDF5Dataset	(	H5::H5File &	file,
		const H5std_string &	datasetName
	)

Adding to an HDF5 file as a new dataset.

Parameters

file	the HDF5 file handle
datasetName	the name of this dataset

template<typename T >

void hpp::Tensor2< T >::assertSquare ( ) const

template<typename T>

Tensor2< T > hpp::Tensor2< T >::constrainedTo	(	const T	minVal,
		const T	maxVal
	)		const

Creates a new tensor with the values of the elements constrained between two values.

For each element, if its value is below minVal, it's set to minVal. If it's above maxVal, it's set to maxVal.

Parameters

minVal	the minimum value
maxVal	the maximum value

Returns: a new tensor that conforms to the constraints

template<typename T>

void hpp::Tensor2< T >::constrainInPlace	(	const T	minVal,
		const T	maxVal
	)

Replaces the elements with their values constrained between two limits.

For each element, if its value is below minVal, it's set to minVal. If it's above maxVal, it's set to maxVal.

Parameters

minVal	the minimum value
maxVal	the maximum value

template<typename T >

void hpp::Tensor2< T >::constructFromHDF5Dataset	(	H5::DataSet &	dataset,
		std::vector< hsize_t >	gridOffset,
		std::vector< hsize_t >	tensorDims
	)

private

template<typename T >

void hpp::Tensor2< T >::constructFromHDF5Dataset	(	hid_t	dset_id,
		hid_t	plist_id,
		std::vector< hsize_t >	gridOffset,
		std::vector< hsize_t >	tensorDims
	)

private

template<typename T>

void hpp::Tensor2< T >::copyValues ( const Tensor2< T > & input )

private

Copy the values from one tensor to another.

Dimension compatability is checked for all builds

Parameters

input the input tensor

Template Parameters

T	the scalar type

template<typename T>

void hpp::Tensor2< T >::copyValuesOut ( T * outVals ) const

template<typename T >

T hpp::Tensor2< T >::det ( ) const

The determinant of the tensor.

The approach is taken from https://www.ibm.com/developerworks/community/blogs/jfp/entry/A_Comparison_Of_C_Julia_Python_Numba_Cython_Scipy_and_BLAS_on_LU_Factorization It is not particularly stable, and we should consider a more robust implementation for large tensors

Template Parameters

T	the scalar type

Returns: the determinant of this tensor, \(det(\mathbf{A})\)

template<typename T >

Tensor2< T > hpp::Tensor2< T >::deviatoricComponent ( ) const

The deviatoric component of the tensor.

Template Parameters

T	the scalar type

Returns: the deviatoric component of the tensor

template<typename T>

void hpp::Tensor2< T >::evecDecomposition	(	std::valarray< T > &	evals,
		Tensor2< T > &	evecs
	)

template<typename T >

Tensor2< T > hpp::Tensor2< T >::exp ( ) const

The matrix exponential of the tensor.

Template Parameters

T	the scalar type

Returns: The matrix exponential of the tensor, \( \exp(\mathbf{A}) \).

template<typename T >

unsigned int hpp::Tensor2< T >::flat	(	const unsigned int	i,
		const unsigned int	j
	)		const

inlineprivate

Flatten the two indices of the tensor.

The flattening order is dictated by the macro HPP_ARRAY_LAYOUT

Parameters

i	the first index
j	the second index

Returns: the flattened index

template<typename T >

T hpp::Tensor2< T >::frobeniusNorm ( ) const

template<typename T>

unsigned int hpp::Tensor2< T >::getn1 ( ) const

inline

template<typename T>

unsigned int hpp::Tensor2< T >::getn2 ( ) const

inline

template<typename T>

unsigned int hpp::Tensor2< T >::getNVals ( ) const

inline

template<typename T >

T hpp::Tensor2< T >::getVal	(	const unsigned int	i,
		const unsigned int	j
	)		const

inline

Get the value of \(T_{ij}\).

Bounds checking is done for debug builds

Parameters

i
j

Template Parameters

T	the scalar type

Returns: \(T_{ij}\)

template<typename T >

T hpp::Tensor2< T >::getValFlat ( const unsigned int flatIdx ) const

inline

Get the value of \(T_{i}\).

Where \(i\) is the index in the underlying array. Bounds checking is done for debug builds.

Parameters

flatIdx i

Template Parameters

T	the scalar type

Returns: \(T_{i}\)

template<typename T >

void hpp::Tensor2< T >::initialize	(	const unsigned int	n1,
		const unsigned int	n2
	)

private

Initialize the dimensions and allocation for the tensor.

The elements are also zeroed.

Parameters

n1	the first dimension of the tensor
n2	the second dimension of the tensor

Template Parameters

T	the scalar type

template<typename T >

Tensor2< T > hpp::Tensor2< T >::inv ( ) const

The inverse of the tensor.

Returns: the inverse of this tensor, \( \mathbf{A}^{-1} \)

Template Parameters

T	the scalar type

template<typename T >

void hpp::Tensor2< T >::invInPlace ( )

The inverse of the tensor.

Returns: the inverse of this tensor, \(\mathbf{A}^{-1}\)

Template Parameters

T	the scalar type

template<typename T >

bool hpp::Tensor2< T >::isRotationMatrix ( ) const

template<typename T >

T hpp::Tensor2< T >::max ( ) const

The maximum element in the tensor.

Template Parameters

T	the scalar type

Returns: the maximum element in the tensor

template<typename T >

T hpp::Tensor2< T >::min ( ) const

The minimum element in the tensor.

Template Parameters

T	the scalar type

Returns: the minimum element in the tensor

template<typename T >

T & hpp::Tensor2< T >::operator()	(	const unsigned int	i,
		const unsigned int	j
	)

inline

Get the a reference to the value of \(T_{ij}\).

Bounds checking is done for debug builds

Parameters

i
j

Template Parameters

T	the scalar type

Returns: \(T_{ij}\)

template<typename T >

T & hpp::Tensor2< T >::operator() ( const unsigned int flatIdx )

inline

template<typename T>

Tensor2< T > & hpp::Tensor2< T >::operator= ( const Tensor2< T > & input )

The standard assignment operator.

Parameters

input the right-hand side of the assignment

Template Parameters

T	the scalar type

template<typename T >

PolarDecomposition< T > hpp::Tensor2< T >::polarDecomposition ( ) const

Polar decomposition of the tensor.

Returns

template<typename T >

void hpp::Tensor2< T >::printToStream ( std::ostream & out ) const

Pretty printing to stream.

Parameters

out

Template Parameters

T	the scalar type

template<typename T >

T hpp::Tensor2< T >::prod ( ) const

Product of all elements.

Template Parameters

T	the scalar type

Returns: The prodct

template<typename T >

Tensor2< T > hpp::Tensor2< T >::scaledToUnitDeterminant ( ) const

Create a tensor with the values uniformly scaled so that the new tensor has unit determinant.

Template Parameters

T	the scalar type

Returns: the scaled tensor

template<typename T>

void hpp::Tensor2< T >::setVal	(	const unsigned int	i,
		const unsigned int	j,
		T	val
	)

template<typename T>

T hpp::Tensor2< T >::spectralNorm ( ) const

template<typename T >

Tensor2< T > hpp::Tensor2< T >::sqrtMatrix ( )

Matrix square root of the tensor.

Returns

template<typename T >

T hpp::Tensor2< T >::tr ( ) const

The trace of the tensor.

Template Parameters

T	the scalar type

Returns: the trace of this tensor, \(tr(\mathbf{A})\)

template<typename T >

Tensor2< T > hpp::Tensor2< T >::trans ( ) const

The transpose of the tensor.

Template Parameters

T	the scalar type

Returns: the tranpose of this tensor, \(\mathbf{A}^T\)

template<typename T >

idx2d hpp::Tensor2< T >::unflat ( const unsigned int flat_idx ) const

inlineprivate

Unflatten the two indices of the tensor.

The unflattening order is dictated by the macro HPP_ARRAY_LAYOUT

Parameters

flat_idx the flattened index

Returns: an idx2d with the unflattened indices

template<typename T >

void hpp::Tensor2< T >::writeToExistingHDF5Dataset	(	H5::DataSet &	dataset,
		std::vector< hsize_t >	arrayOffset
	)

template<typename T >

void hpp::Tensor2< T >::writeToExistingHDF5Dataset	(	hid_t	dset_id,
		hid_t	plist_id,
		std::vector< hsize_t >	arrayOffset
	)

template<typename T >

void hpp::Tensor2< T >::writeToNewHDF5	(	const H5std_string &	filename,
		const H5std_string &	datasetName
	)

Friends And Related Function Documentation

template<typename T>

template<typename U >

void ABPlusBTransposeAInPlace	(	const hpp::Tensor2< U > &	A,
		const hpp::Tensor2< U > &	B,
		hpp::Tensor2< U > &	C
	)

friend

template<typename T>

template<typename U >

bool areEqual	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B,
		U	tol
	)

friend

template<typename T>

template<typename U >

bool areSameShape	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void assertCompatibleForContraction	(	const Tensor4< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void assertCompatibleForContraction	(	const Tensor4< U > &	A,
		const Tensor2< U > &	B,
		const Tensor2< U > &	C
	)

friend

template<typename T>

template<typename U >

void assertCompatibleForMultiplication	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void assertCompatibleForOuterProduct	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B,
		const Tensor4< U > &	C
	)

friend

template<typename T>

template<typename U >

void assertSameShape	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> contract	(	const Tensor4< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

U contract	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void contractInPlace	(	const Tensor4< U > &	A,
		const Tensor2< U > &	B,
		Tensor2< U > &	C
	)

friend

template<typename T>

template<typename U >

void identityTensor2InPlace	(	unsigned int	n,
		Tensor2< U > &	A
	)

friend

template<typename T>

template<typename U >

Tensor2<U> MPISum	(	Tensor2< U > &	local,
		MPI_Comm	comm
	)

friend

template<typename T>

template<typename U >

bool operator!=	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator*	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator*	(	const Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator*	(	const U &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void operator*=	(	Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator+	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator+	(	const Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator+	(	const U &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void operator+=	(	Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

void operator+=	(	Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator-	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator-	(	const Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator-	(	const U &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void operator-=	(	Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

void operator-=	(	Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor2<U> operator/	(	const Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

void operator/=	(	Tensor2< U > &	A,
		const U &	B
	)

friend

template<typename T>

template<typename U >

bool operator==	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

Tensor4<U> outer	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B
	)

friend

template<typename T>

template<typename U >

void outerInPlace	(	const Tensor2< U > &	A,
		const Tensor2< U > &	B,
		Tensor4< U > &	C
	)

friend

template<typename T>

template<typename U , unsigned int M, unsigned int N>

friend class Tensor2CUDA

friend

Member Data Documentation

template<typename T>

unsigned int hpp::Tensor2< T >::n1 = 0

protected

the first dimension of the tensor

template<typename T>

unsigned int hpp::Tensor2< T >::n2 = 0

protected

the second dimension of the tensor

template<typename T>

unsigned int hpp::Tensor2< T >::nVals = 0

protected

the total number of elements in the tensor

template<typename T>

friend hpp::Tensor2< T >::Tensor4< T >

private

template<typename T>

std::valarray<T> hpp::Tensor2< T >::vals

protected

the underlying 1D array

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

/home/mmalahe/projects/hpp/code/include/hpp/tensor.h
/home/mmalahe/projects/hpp/code/src/tensor.cpp

Public Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Friends

Detailed Description

template<typename T> class hpp::Tensor2< T >

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation

template<typename T>
class hpp::Tensor2< T >