Tests the Jacobian for anisotropic and isotropic refinements of quadrilaterals in two dimensions. More...

#include <testJacobian.hh>

Inheritance diagram for test::TestJacobian2D:

Collaboration diagram for test::TestJacobian2D:

Public Member Functions
void	_succeed ()
	Explicitly succeds a test.
long	getNumFailed () const
	Returns number of failed tests.
long	getNumPassed () const
	Returns number of passed tests.
const ostream *	getStream () const
	Returns output stream.
long	report () const
	Prints a report on the number of passed and failed tests to the output stream.
virtual void	reset ()
	Resets the counters for the failed and passed tests.
virtual void	run ()
	Runs the tests. Must be overwritten by the specialization.
void	setStream (ostream *osptr)
	Sets the output stream.
virtual	~TestJacobian2D ()
Test routines
void	testRot0Isotropic ()
	Tests Jacobians for isotropic subdivisions.
void	testRot0Horizontal ()
	Tests Jacobians for anisotropic, horizontal subdivisions.
void	testRot0Vertical ()
	Tests Jacobians for anisotropic, vertical subdivisions.
void	testRot1Isotropic ()
	Tests Jacobians for isotropic subdivisions.
void	testRot1Horizontal ()
	Tests Jacobians for anisotropic, horizontal subdivisions.
void	testRot1Vertical ()
	Tests Jacobians for anisotropic, vertical subdivisions.
void	testRot2Isotropic ()
	Tests Jacobians for isotropic subdivisions.
void	testRot2Horizontal ()
	Tests Jacobians for anisotropic, horizontal subdivisions.
void	testRot2Vertical ()
	Tests Jacobians for anisotropic, vertical subdivisions.
void	testRot3Isotropic ()
	Tests Jacobians for isotropic subdivisions.
void	testRot3Horizontal ()
	Tests Jacobians for anisotropic, horizontal subdivisions.
void	testRot3Vertical ()
	Tests Jacobians for anisotropic, vertical subdivisions.
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)
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.
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.
Private Member Functions
void	recTest_ (concepts::Quad2d q, Real guess, Real div, Real guess00, Real div00, Real guess01, Real div01, Real guess10, Real div10, Real guess11, Real div11, uint rec, const concepts::Quad2dSubdivision ref=0)
	Recursively test the Jacobian of the children of `q` to be equal to `guess`.

Detailed Description

Tests the Jacobian for anisotropic and isotropic refinements of quadrilaterals in two dimensions.

The tested element map is VertexQuad2d, the tests are preformed in four different orientations.

See also:: concepts::VertexQuad2d

Author:: Philipp Frauenfelder, 2004

Definition at line 27 of file testJacobian.hh.

Constructor & Destructor Documentation

virtual test::TestJacobian2D::~TestJacobian2D ( ) [virtual]

Member Function Documentation

void test::TestCase::_succeed ( ) [inline, inherited]

Explicitly succeds a test.

Definition at line 109 of file testcase.hh.

void test::TestCase::do_fail	(	const string &	lbl,
		const char *	fname,
		long	lineno
	)		`[protected, inherited]`

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

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`
	)		`[protected, inherited]`

Internal function to do a numerical test.

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`
	)		`[protected, inherited]`

bool test::TestCase::do_test	(	bool	cond,
		const string &	lbl,
		const char *	fname,
		long	lineno
	)		`[protected, inherited]`

Internal function to do a test.

long test::TestCase::getNumFailed ( ) const [inline, inherited]

Returns number of failed tests.

Definition at line 102 of file testcase.hh.

long test::TestCase::getNumPassed ( ) const [inline, inherited]

Returns number of passed tests.

Definition at line 100 of file testcase.hh.

const ostream* test::TestCase::getStream ( ) const [inline, inherited]

Returns output stream.

Definition at line 104 of file testcase.hh.

void test::TestJacobian2D::recTest_	(	concepts::Quad2d *	q,
		Real	guess,
		Real	div,
		Real	guess00,
		Real	div00,
		Real	guess01,
		Real	div01,
		Real	guess10,
		Real	div10,
		Real	guess11,
		Real	div11,
		uint	rec,
		const concepts::Quad2dSubdivision *	ref = `0`
	)		`[private]`

Recursively test the Jacobian of the children of q to be equal to guess.

Parameters:

q	Test children of this quad
guess	Guessed value of the determinant of the Jacobian of the children of `q`
div	`guess` needs to be divided by `div` for the next level
guess00	Guessed value of the 0,0 entry of the Jacobian
div00	Divisor for `guess00`
guess01	Guessed value of the 0,1 entry of the Jacobian
div01	Divisor for `guess01`
guess10	Guessed value of the 1,0 entry of the Jacobian
div10	Divisor for `guess10`
guess11	Guessed value of the 1,1 entry of the Jacobian
div11	Divisor for `guess11`
rec	Recusion depth
ref	Refinement strategy

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.

virtual void test::TestCase::reset ( ) [inline, virtual, inherited]

Resets the counters for the failed and passed tests.

Definition at line 116 of file testcase.hh.

virtual void test::TestJacobian2D::run ( ) [virtual]

Runs the tests. Must be overwritten by the specialization.

Implements test::TestCase.

void test::TestCase::setStream ( ostream * osptr ) [inline, inherited]

Sets the output stream.

Definition at line 106 of file testcase.hh.

void test::TestJacobian2D::testRot0Horizontal ( )

Tests Jacobians for anisotropic, horizontal subdivisions.

The initial cell is (0,1)² with the vertices (0,0), (1,0), (1,1), (0,1) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 1 & 0 \\ 0 & 1/2 \end{pmatrix}$

void test::TestJacobian2D::testRot0Isotropic ( )

Tests Jacobians for isotropic subdivisions.

The initial cell is (0,1)² with the vertices (0,0), (1,0), (1,1), (0,1) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 1/2 & 0 \\ 0 & 1/2 \end{pmatrix}$

void test::TestJacobian2D::testRot0Vertical ( )

Tests Jacobians for anisotropic, vertical subdivisions.

The initial cell is (0,1)² with the vertices (0,0), (1,0), (1,1), (0,1) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 1/2 & 0 \\ 0 & 1 \end{pmatrix}$

void test::TestJacobian2D::testRot1Horizontal ( )

Tests Jacobians for anisotropic, horizontal subdivisions.

The initial cell is (0,1)² with the vertices (1,0), (1,1), (0,1), (0,0) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 0 & -1/2 \\ 1 & 0 \end{pmatrix}$

void test::TestJacobian2D::testRot1Isotropic ( )

Tests Jacobians for isotropic subdivisions.

The initial cell is (0,1)² with the vertices (1,0), (1,1), (0,1), (0,0) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 0 & -1/2 \\ 1/2 & 0 \end{pmatrix}$

void test::TestJacobian2D::testRot1Vertical ( )

Tests Jacobians for anisotropic, vertical subdivisions.

The initial cell is (0,1)² with the vertices (1,0), (1,1), (0,1), (0,0) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 0 & -1 \\ 1/2 & 0 \end{pmatrix}$

void test::TestJacobian2D::testRot2Horizontal ( )

Tests Jacobians for anisotropic, horizontal subdivisions.

The initial cell is (0,1)² with the vertices (1,1), (0,1), (0,0), (1,0) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}$ and one of the children has $\begin{pmatrix} -1 & 0 \\ 0 & -1/2 \end{pmatrix}$

void test::TestJacobian2D::testRot2Isotropic ( )

Tests Jacobians for isotropic subdivisions.

The initial cell is (0,1)² with the vertices (1,1), (0,1), (0,0), (1,0) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}$ and one of the children has $\begin{pmatrix} -1/2 & 0 \\ 0 & -1/2 \end{pmatrix}$

void test::TestJacobian2D::testRot2Vertical ( )

Tests Jacobians for anisotropic, vertical subdivisions.

The initial cell is (0,1)² with the vertices (1,1), (0,1), (0,0), (1,0) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}$ and one of the children has $\begin{pmatrix} -1/2 & 0 \\ 0 & -1 \end{pmatrix}$

void test::TestJacobian2D::testRot3Horizontal ( )

Tests Jacobians for anisotropic, horizontal subdivisions.

The initial cell is (0,1)² with the vertices (0,1), (0,0), (1,0), (1,1) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 0 & 1/2 \\ -1 & 0 \end{pmatrix}$

void test::TestJacobian2D::testRot3Isotropic ( )

Tests Jacobians for isotropic subdivisions.

The initial cell is (0,1)² with the vertices (0,1), (0,0), (1,0), (1,1) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 0 & 1/2 \\ -1/2 & 0 \end{pmatrix}$

void test::TestJacobian2D::testRot3Vertical ( )

Tests Jacobians for anisotropic, vertical subdivisions.

The initial cell is (0,1)² with the vertices (0,1), (0,0), (1,0), (1,1) (in this order). The Jacobian in the initial cell is $\begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$ and one of the children has $\begin{pmatrix} 0 & 1 \\ -1/2 & 0 \end{pmatrix}$

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

geometry/testsuite/testJacobian.hh

Public Member Functions

Protected Member Functions

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation