Mass and stiffness matrices. More...

#include <matrices.hh>

Inheritance diagram for test::TestMatrices2D:

Public Member Functions
void	_succeed ()
	Explicitly succeds a test. More...

long	getNumFailed () const
	Returns number of failed tests. More...

long	getNumPassed () const
	Returns number of passed tests. More...

const ostream *	getStream () const
	Returns output stream. More...

long	report () const
	Prints a report on the number of passed and failed tests to the output stream. More...

virtual void	reset ()
	Resets the counters for the failed and passed tests. More...

virtual void	run ()
	Runs the tests. Must be overwritten by the specialization. More...

void	setStream (ostream *osptr)
	Sets the output stream. More...

virtual	~TestMatrices2D ()

Test routines
void	testMassMatrix0101 ()
	Tests mass matrix in (0,1)² More...

void	testMassMatrix010_01 ()
	Tests mass matrix in (0,1) x (0, 1/100) More...

void	testStiffnessMatrix0101 ()
	Tests stiffness matrix in (0,1)² More...

void	testStiffnessMatrix010_01 ()
	Tests stiffness matrix in (0,1) x (0, 1/100) More...

void	testStiffnessMatrix0101_withMatrix ()
	Tests stiffness matrix in (0,1)² with a matrix inbetween the gradients. More...

void	testTwoPartialDerivMatrix0101 ()
	Tests the four matrix of two partial derivatives in (0,1)² More...

void	testOnePartialDerivMatrix0101 ()
	Tests the four matrix of one partial derivatives in (0,1)² More...

void	testIdDivMatrix0101 ()
	Tests the matrix related to the IdDiv-bilinear form in (0,1)² More...

void	testIdDivMatrix0101_difp ()
	Tests the matrix related to the IdDiv-bilinear form in (0,1)² More...

void	testDivDivMatrix0101 ()
	Tests the matrix related to the DivDiv-bilinear form in (0,1)² with different polynomial degree. More...

void	testDivDivMatrix0101_difp ()
	Tests the matrix related to the DivDiv-bilinear form in (0,1)² for two spaces of different polynomial degree. More...

void	testVectorLaplaceMatrix0101 ()
	Tests the matrix related to the vectorial Laplace-bilinear form in (0,1)². More...

void	testVectorIdentityMatrix0101 ()
	Tests the matrix related to the vectorial Identity-bilinear form in (0,1)². More...

void	testMassMatrixOnEdge ()
	Test element mass matrix in (0,1) More...

void	testMassMatrixLaguerre ()
	Test element mass matrix with Laguerre basis in $(0,1)\times[0,inf)$ . More...

void	testStiffnessMatrixLaguerre ()
	Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$ . More...

void	testAdvectionMatrixLaguerre ()
	Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$ . More...

void	testOnePartialDerivMatrixLaguerre ()
	Test partial derivative bilinear form with Laguerre basis in $(0,1)\times[0,inf)$ . More...

void	testElementMatrixIdentity ()
	Tests the element matrix related to hp2D::Identity for two spaces of different polynomial degree. More...

void	testElementMatrixLaplace ()
	Tests the element matrix related to hp2D::Laplace for two spaces of different polynomial degree. More...

void	testElementMatrixAdvection ()
	Tests the element matrix related to hp2D::Advection for two spaces of different polynomial degree. More...

Protected Member Functions
void	do_fail (const string &lbl, const char *fname, long lineno)
	Internal function to report a failed test (besides increasing the failed counter) More...

bool	do_numtest (double num, double orig, const string &lbl, const string &lbl2, const char *fname, long lineno, const double tol=1e-10)
	Internal function to do a numerical test. More...

bool	do_numtest (std::complex< double > num, std::complex< double > orig, const string &lbl, const string &lbl2, const char *fname, long lineno, const double tol=1e-10)

bool	do_test (bool cond, const string &lbl, const char *fname, long lineno)
	Internal function to do a test. More...

Private Attributes
long	m_nFail

long	m_nPass

ostream *	m_osptr

Detailed Description

Mass and stiffness matrices.

The matrices are tested in a normal (0,1)² element and a needle element (0,1) x (0, 1/100). The exact values were computed using Mathematica.

Author: Philipp Frauenfelder, 2004

Definition at line 21 of file matrices.hh.

Constructor & Destructor Documentation

◆ ~TestMatrices2D()

virtual test::TestMatrices2D::~TestMatrices2D ( )

virtual

Member Function Documentation

◆ _succeed()

void test::TestCase::_succeed ( )

inlineinherited

Explicitly succeds a test.

Definition at line 112 of file testcase.hh.

◆ do_fail()

void test::TestCase::do_fail	(	const string &	lbl,
		const char *	fname,
		long	lineno
	)

protectedinherited

Internal function to report a failed test (besides increasing the failed counter)

◆ do_numtest() [1/2]

bool test::TestCase::do_numtest	(	double	num,
		double	orig,
		const string &	lbl,
		const string &	lbl2,
		const char *	fname,
		long	lineno,
		const double	tol = `1e-10`
	)

protectedinherited

Internal function to do a numerical test.

◆ do_numtest() [2/2]

bool test::TestCase::do_numtest	(	std::complex< double >	num,
		std::complex< double >	orig,
		const string &	lbl,
		const string &	lbl2,
		const char *	fname,
		long	lineno,
		const double	tol = `1e-10`
	)

protectedinherited

◆ do_test()

bool test::TestCase::do_test	(	bool	cond,
		const string &	lbl,
		const char *	fname,
		long	lineno
	)

protectedinherited

Internal function to do a test.

◆ getNumFailed()

long test::TestCase::getNumFailed ( ) const

inlineinherited

Returns number of failed tests.

Definition at line 105 of file testcase.hh.

◆ getNumPassed()

long test::TestCase::getNumPassed ( ) const

inlineinherited

Returns number of passed tests.

Definition at line 103 of file testcase.hh.

◆ getStream()

const ostream* test::TestCase::getStream ( ) const

inlineinherited

Returns output stream.

Definition at line 107 of file testcase.hh.

◆ report()

long test::TestCase::report ( ) const

inherited

Prints a report on the number of passed and failed tests to the output stream.

Returns: Number of failed tests.

◆ reset()

virtual void test::TestCase::reset ( )

inlinevirtualinherited

Resets the counters for the failed and passed tests.

Definition at line 119 of file testcase.hh.

◆ run()

virtual void test::TestMatrices2D::run ( )

virtual

Runs the tests. Must be overwritten by the specialization.

Implements test::TestCase.

◆ setStream()

void test::TestCase::setStream ( ostream * osptr )

inlineinherited

Sets the output stream.

Definition at line 109 of file testcase.hh.

◆ testAdvectionMatrixLaguerre()

void test::TestMatrices2D::testAdvectionMatrixLaguerre ( )

Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$ .

◆ testDivDivMatrix0101()

void test::TestMatrices2D::testDivDivMatrix0101 ( )

Tests the matrix related to the DivDiv-bilinear form in (0,1)² with different polynomial degree.

◆ testDivDivMatrix0101_difp()

void test::TestMatrices2D::testDivDivMatrix0101_difp ( )

Tests the matrix related to the DivDiv-bilinear form in (0,1)² for two spaces of different polynomial degree.

◆ testElementMatrixAdvection()

void test::TestMatrices2D::testElementMatrixAdvection ( )

Tests the element matrix related to hp2D::Advection for two spaces of different polynomial degree.

◆ testElementMatrixIdentity()

void test::TestMatrices2D::testElementMatrixIdentity ( )

Tests the element matrix related to hp2D::Identity for two spaces of different polynomial degree.

◆ testElementMatrixLaplace()

void test::TestMatrices2D::testElementMatrixLaplace ( )

Tests the element matrix related to hp2D::Laplace for two spaces of different polynomial degree.

◆ testIdDivMatrix0101()

void test::TestMatrices2D::testIdDivMatrix0101 ( )

Tests the matrix related to the IdDiv-bilinear form in (0,1)²

◆ testIdDivMatrix0101_difp()

void test::TestMatrices2D::testIdDivMatrix0101_difp ( )

Tests the matrix related to the IdDiv-bilinear form in (0,1)²

◆ testMassMatrix0101()

void test::TestMatrices2D::testMassMatrix0101 ( )

Tests mass matrix in (0,1)²

◆ testMassMatrix010_01()

void test::TestMatrices2D::testMassMatrix010_01 ( )

Tests mass matrix in (0,1) x (0, 1/100)

◆ testMassMatrixLaguerre()

void test::TestMatrices2D::testMassMatrixLaguerre ( )

Test element mass matrix with Laguerre basis in $(0,1)\times[0,inf)$ .

◆ testMassMatrixOnEdge()

void test::TestMatrices2D::testMassMatrixOnEdge ( )

Test element mass matrix in (0,1)

◆ testOnePartialDerivMatrix0101()

void test::TestMatrices2D::testOnePartialDerivMatrix0101 ( )

Tests the four matrix of one partial derivatives in (0,1)²

◆ testOnePartialDerivMatrixLaguerre()

void test::TestMatrices2D::testOnePartialDerivMatrixLaguerre ( )

Test partial derivative bilinear form with Laguerre basis in $(0,1)\times[0,inf)$ .

◆ testStiffnessMatrix0101()

void test::TestMatrices2D::testStiffnessMatrix0101 ( )

Tests stiffness matrix in (0,1)²

◆ testStiffnessMatrix0101_withMatrix()

void test::TestMatrices2D::testStiffnessMatrix0101_withMatrix ( )

Tests stiffness matrix in (0,1)² with a matrix inbetween the gradients.

◆ testStiffnessMatrix010_01()

void test::TestMatrices2D::testStiffnessMatrix010_01 ( )

Tests stiffness matrix in (0,1) x (0, 1/100)

◆ testStiffnessMatrixLaguerre()

void test::TestMatrices2D::testStiffnessMatrixLaguerre ( )

Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$ .

◆ testTwoPartialDerivMatrix0101()

void test::TestMatrices2D::testTwoPartialDerivMatrix0101 ( )

Tests the four matrix of two partial derivatives in (0,1)²

◆ testVectorIdentityMatrix0101()

void test::TestMatrices2D::testVectorIdentityMatrix0101 ( )

Tests the matrix related to the vectorial Identity-bilinear form in (0,1)².

◆ testVectorLaplaceMatrix0101()

void test::TestMatrices2D::testVectorLaplaceMatrix0101 ( )

Tests the matrix related to the vectorial Laplace-bilinear form in (0,1)².

Member Data Documentation

◆ m_nFail

long test::TestCase::m_nFail

privateinherited

Definition at line 139 of file testcase.hh.

◆ m_nPass

long test::TestCase::m_nPass

privateinherited

Definition at line 138 of file testcase.hh.

◆ m_osptr

ostream* test::TestCase::m_osptr

privateinherited

Definition at line 137 of file testcase.hh.

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

hp2D/testsuite/matrices.hh

test::TestMatrices2D Class Reference

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ~TestMatrices2D()

Member Function Documentation

◆ _succeed()

◆ do_fail()

◆ do_numtest() [1/2]

◆ do_numtest() [2/2]

◆ do_test()

◆ getNumFailed()

◆ getNumPassed()

◆ getStream()

◆ report()

◆ reset()

◆ run()

◆ setStream()

◆ testAdvectionMatrixLaguerre()

◆ testDivDivMatrix0101()

◆ testDivDivMatrix0101_difp()

◆ testElementMatrixAdvection()

◆ testElementMatrixIdentity()

◆ testElementMatrixLaplace()

◆ testIdDivMatrix0101()

◆ testIdDivMatrix0101_difp()

◆ testMassMatrix0101()

◆ testMassMatrix010_01()

◆ testMassMatrixLaguerre()

◆ testMassMatrixOnEdge()

◆ testOnePartialDerivMatrix0101()

◆ testOnePartialDerivMatrixLaguerre()

◆ testStiffnessMatrix0101()

◆ testStiffnessMatrix0101_withMatrix()

◆ testStiffnessMatrix010_01()

◆ testStiffnessMatrixLaguerre()

◆ testTwoPartialDerivMatrix0101()

◆ testVectorIdentityMatrix0101()

◆ testVectorLaplaceMatrix0101()

Member Data Documentation

◆ m_nFail

◆ m_nPass

◆ m_osptr