WTensorFunctionsTest Class Reference

Test class for some tensor functions. More...

#include <WTensorFunctions_test.h>

Inheritance diagram for WTensorFunctionsTest:

Collaboration diagram for WTensorFunctionsTest:

Public Member Functions
void	testSpecialSymMatrixEigenvalueTestCaseNumericalStability (void)
	The eigenvalue of the symmetrical matrix: 0.000179516, 2.09569e-05, 2.76557e-06, 0.000170189, -5.52619e-07, 0.00015239 (0.000196397;0.000155074;0.000150625) More...
void	testJacobiEigenvectors ()
	Test the jacobi eigenvector calculation. More...
void	testCardanoEigenvalues ()
	Test the cardano eigenvalue calculation. More...
void	testLogAndExp ()
	Test if tensor log and exp functions behave correctly. More...

Private Member Functions
template<std::size_t dim, typename Data_T >
WTensorSym< 2, dim, Data_T >	similarity_rotate_givens (WTensorSym< 2, dim, Data_T > const &m, std::size_t i, std::size_t j, double angle)
	A helper function performing a similarity transform using a givens rotation. More...
template<std::size_t dim, typename Data_T >
void	compare_results (WTensorSym< 2, dim, Data_T > const &m, RealEigenSystem const &sys)
	Test if the given vectors are eigenvectors to the given eigenvalues of a symmetric matrix. More...

Detailed Description

Test class for some tensor functions.

Definition at line 42 of file WTensorFunctions_test.h.

Member Function Documentation

compare_results()

template<std::size_t dim, typename Data_T >

void WTensorFunctionsTest::compare_results ( WTensorSym< 2, dim, Data_T > const &  m, RealEigenSystem const &  sys  )

inlineprivate

Test if the given vectors are eigenvectors to the given eigenvalues of a symmetric matrix.

Parameters

m	A symmetric matrix.
sys	The eigen system ( eigenvalues and eigenvectors )

Definition at line 552 of file WTensorFunctions_test.h.

Referenced by testJacobiEigenvectors().

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similarity_rotate_givens()

template<std::size_t dim, typename Data_T >

WTensorSym< 2, dim, Data_T > WTensorFunctionsTest::similarity_rotate_givens ( WTensorSym< 2, dim, Data_T > const &  m, std::size_t  i, std::size_t  j, double  angle  )

inlineprivate

A helper function performing a similarity transform using a givens rotation.

Parameters

m	The symmetric tensor to transform.
i	A row index.
j	A column index.
angle	The rotation angle (in radians).

Note

i must not have the same values as j

Returns

The new tensor

Definition at line 506 of file WTensorFunctions_test.h.

Referenced by testCardanoEigenvalues(), and testJacobiEigenvectors().

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testCardanoEigenvalues()

void WTensorFunctionsTest::testCardanoEigenvalues ( )

inline

Test the cardano eigenvalue calculation.

Definition at line 307 of file WTensorFunctions_test.h.

References similarity_rotate_givens().

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testJacobiEigenvectors()

void WTensorFunctionsTest::testJacobiEigenvectors ( )

inline

Test the jacobi eigenvector calculation.

Definition at line 70 of file WTensorFunctions_test.h.

References compare_results(), and similarity_rotate_givens().

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testLogAndExp()

void WTensorFunctionsTest::testLogAndExp ( )

inline

Test if tensor log and exp functions behave correctly.

Definition at line 471 of file WTensorFunctions_test.h.

testSpecialSymMatrixEigenvalueTestCaseNumericalStability()

void WTensorFunctionsTest::testSpecialSymMatrixEigenvalueTestCaseNumericalStability ( void  )

inline

The eigenvalue of the symmetrical matrix: 0.000179516, 2.09569e-05, 2.76557e-06, 0.000170189, -5.52619e-07, 0.00015239 (0.000196397;0.000155074;0.000150625)

Definition at line 50 of file WTensorFunctions_test.h.

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

• WTensorFunctions_test.h