Chaste  Release::2017.1
FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 > Class Template Reference

#include <FourthOrderTensor.hpp>

+ Inheritance diagram for FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >:
+ 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)
 
doubleoperator() (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< doublemData
 

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 51 of file FourthOrderTensor.hpp.

Constructor & Destructor Documentation

template<unsigned DIM1, unsigned DIM2, unsigned DIM3, unsigned DIM4>
FourthOrderTensor< DIM1, DIM2, DIM3, DIM4 >::FourthOrderTensor ( )

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 
)
inlineprivate
Returns
the index into the mData vector corresponding to this set of indices
Parameters
Mfirst index
Nsecond index
Pthird index
Qfourth index

Definition at line 63 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 
)
Returns
the MNPQ-component of the tensor.
Parameters
Mfirst index
Nsecond index
Pthird index
Qfourth index

Definition at line 341 of file FourthOrderTensor.hpp.

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

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

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

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
rMatrixA matrix
rTensorA fourth order tensor

Definition at line 161 of file FourthOrderTensor.hpp.

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

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

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 
)

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
rMatrixA matrix
rTensorA fourth order tensor

Definition at line 297 of file FourthOrderTensor.hpp.

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

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

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 
)

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
rMatrixA matrix
rTensorA fourth order tensor

Definition at line 204 of file FourthOrderTensor.hpp.

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

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

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 
)

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
rMatrixA matrix
rTensorA fourth order tensor

Definition at line 250 of file FourthOrderTensor.hpp.

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

Referenced by FourthOrderTensor< DIM, DIM, DIM, DIM >::GetVectorIndex().

Member Data Documentation


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