FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 > Class Template Reference

#include <FourthOrderTensor.hpp>

Collaboration diagram for FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >:

Public Member Functions
	FourthOrderTensor ()
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnFirstDimension (const c_matrix< double, DIM1, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< CONTRACTED_DIM, DIM2, DIM3, DIM4 > &rTensor)
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnSecondDimension (const c_matrix< double, DIM2, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< DIM1, CONTRACTED_DIM, DIM3, DIM4 > &rTensor)
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnThirdDimension (const c_matrix< double, DIM3, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< DIM1, DIM2, CONTRACTED_DIM, DIM4 > &rTensor)
template<unsigned CONTRACTED_DIM>
void	SetAsContractionOnFourthDimension (const c_matrix< double, DIM4, CONTRACTED_DIM > &rMatrix, FourthOrderTensor< DIM1, DIM2, DIM3, CONTRACTED_DIM > &rTensor)
double &	operator() (unsigned M, unsigned N, unsigned P, unsigned Q)
void	Zero ()
std::vector< double > &	rGetData ()
Private Member Functions
unsigned	GetVectorIndex (unsigned M, unsigned N, unsigned P, unsigned Q)
Private Attributes
std::vector< double >	mData

Detailed Description

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>
class FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >

FourthOrderTensor

A class of fourth order tensors (i.e. tensors with four indices), over arbitrary dimension.

Definition at line 46 of file FourthOrderTensor.hpp.

Constructor & Destructor Documentation

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::FourthOrderTensor ( ) [inline]

Constructor.

Definition at line 148 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData.

Member Function Documentation

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

unsigned FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::GetVectorIndex	(	unsigned	M,
		unsigned	N,
		unsigned	P,
		unsigned	Q
	)			`[inline, private]`

Get the index into the mData vector corresponding to this set of indices

Parameters:

	M	first index
	N	second index
	P	third index
	Q	fourth index

Definition at line 58 of file FourthOrderTensor.hpp.

Referenced by FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::operator()().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

double & FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::operator()	(	unsigned	M,
		unsigned	N,
		unsigned	P,
		unsigned	Q
	)			`[inline]`

Access the MNPQ-component of the tensor.

Parameters:

	M	first index
	N	second index
	P	third index
	Q	fourth index

Definition at line 336 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::GetVectorIndex(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData.

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

std::vector<double>& FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData ( ) [inline]

Get a reference to the internal data of the tensor.

Definition at line 137 of file FourthOrderTensor.hpp.

Referenced by FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFirstDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFourthDimension(), FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnSecondDimension(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnThirdDimension().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFirstDimension	(	const c_matrix< double, DIM1, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< CONTRACTED_DIM, DIM2, DIM3, DIM4 > &	rTensor
	)			`[inline]`

Set to be the inner product of a matrix another fourth order tensor, contracting on first component, i.e. sets this tensor to be R, where R_{abcd} = X_{aN} T_{Nbcd}

Parameters:

	rMatrix	A matrix
	rTensor	A fourth order tensor

Definition at line 156 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnFourthDimension	(	const c_matrix< double, DIM4, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< DIM1, DIM2, DIM3, CONTRACTED_DIM > &	rTensor
	)			`[inline]`

Set to be the inner product of a matrix another fourth order tensor, contracting on fourth component, i.e. sets this tensor to be R, where R_{abcd} = X_{dN} T_{abcN}

Parameters:

	rMatrix	A matrix
	rTensor	A fourth order tensor

Definition at line 292 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnSecondDimension	(	const c_matrix< double, DIM2, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< DIM1, CONTRACTED_DIM, DIM3, DIM4 > &	rTensor
	)			`[inline]`

Set to be the inner product of a matrix another fourth order tensor, contracting on second component, i.e. sets this tensor to be R, where R_{abcd} = X_{bN} T_{aNcd}

Parameters:

	rMatrix	A matrix
	rTensor	A fourth order tensor

Definition at line 199 of file FourthOrderTensor.hpp.

References FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::mData, FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::rGetData(), and FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::Zero().

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>

template<unsigned CONTRACTED_DIM>

void FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::SetAsContractionOnThirdDimension	(	const c_matrix< double, DIM3, CONTRACTED_DIM > &	rMatrix,
		FourthOrderTensor< DIM1, DIM2, CONTRACTED_DIM, DIM4 > &	rTensor
	)			`[inline]`

Set to be the inner product of a matrix another fourth order tensor, contracting on third component, i.e. sets this tensor to be R, where R_{abcd} = X_{cN} T_{abNd}

Parameters: