Tetrahedron Class Reference

#include <Tetrahedron.h>

Inheritance diagram for Tetrahedron:

List of all members.

Public Member Functions
	Tetrahedron (const std::vector< double > &globalCoordVec, const std::vector< GlobalNodalIndex > &connectivity)
	Tetrahedron (const Tetrahedron &that)
virtual Tetrahedron *	clone () const
const size_t	getNumVertices () const
	Returns the number of vertices.
const std::string	getPolytopeName () const
	Returns the name of the geometry. It clarifies the meaning of the connectivity array.
const size_t	getParametricDimension () const
	Returns the number of dimensions in the parametric configuartion.
const size_t	getEmbeddingDimension () const
	Returns the number of dimensions in the real configuration.
size_t	getNumFaces () const
	Number of faces the polytope has.
void	map (const double *X, double *Y) const
	map from parametric to real configuration.
void	dMap (const double *X, double *DY, double &Jac) const
	Derivative of the map from the parametric to the real configuration.
Triangle< 3 > *	getFaceGeometry (size_t e) const
	Creates a new ElementGeometry object corresponding to face 'e' in the polytope.
const double	getInRadius (void) const
	get the inradius
const double	getOutRadius (void) const
	get the outradius -- radius of the circumscribed sphere
virtual void	computeNormal (size_t e, std::vector< double > &vNormal) const
	Compute external normal for a face.
Static Protected Member Functions
static double	mag (const double *a)
	a vector array
static double	dot (const double *a, const double *b)
static void	cross (const double *a, const double *b, double *rv)
static double	determinant (double **a, size_t n)
Static Private Attributes
static const double	ParamCoord []
static const size_t	FaceNodes []

---

Constructor & Destructor Documentation

Tetrahedron::Tetrahedron	(	const std::vector< double > &	globalCoordVec,
		const std::vector< GlobalNodalIndex > &	connectivity
	)			[inline]

Tetrahedron::Tetrahedron

(

const Tetrahedron &

that

)

[inline]

---

Member Function Documentation

virtual Tetrahedron* Tetrahedron::clone

(

)

const [inline, virtual]

Implements ElementGeometry.

virtual void Tetrahedron::computeNormal	(	size_t	e,
		std::vector< double > &	vNormal
	)			const [inline, virtual]

Compute external normal for a face.

Parameters:

	e,:	face number for which the normal is desired
	vNormal,:	output of the three Cartesian components of the normal vector

Implements ElementGeometry.

static void Tetrahedron::cross	(	const double *	a,
		const double *	b,
		double *	rv
	)			[inline, static, protected]

Parameters:

	a	first input vector size 3
	b	second input vector size 3
	rv	output vector containing cross product of a and b (size 3)

static double Tetrahedron::determinant	(	double **	a,
		size_t	n
	)			[inline, static, protected]

Parameters:

	a	square matrix
	n	number of rows and cols in matrix

Returns:

determinant of the matrix

void Tetrahedron::dMap	(	const double *	X,
		double *	DY,
		double &	Jac
	)			const [inline, virtual]

Derivative of the map from the parametric to the real configuration.

Parameters:

	X	parametric cooridnates
	Jac	returns Jacobian of the map.
	DY	returnd derivative of the map. Here DY[a*getEmbeddingDimension()+i] contains the derivative of the a-th direction of the i-th coordinate.

Implements ElementGeometry.

static double Tetrahedron::dot	(	const double *	a,
		const double *	b
	)			[inline, static, protected]

Parameters:

	a	vector size 3
	b	vector size 3

Returns:

dot product of vectors a and b

const size_t Tetrahedron::getEmbeddingDimension

(

)

const [inline, virtual]

Returns the number of dimensions in the real configuration.

Implements ElementGeometry.

Triangle<3>* Tetrahedron::getFaceGeometry

(

size_t

e

)

const [inline, virtual]

Creates a new ElementGeometry object corresponding to face 'e' in the polytope.

The object ghas to be deleted by the recepient.

Parameters:

e

facenumber , starting from 0. Prompts an error if an invalid face is requested.

Implements ElementGeometry.

const double Tetrahedron::getInRadius

(

void

)

const [inline, virtual]

get the inradius

Implements ElementGeometry.

size_t Tetrahedron::getNumFaces

(

)

const [inline, virtual]

Number of faces the polytope has.

Implements ElementGeometry.

const size_t Tetrahedron::getNumVertices

(

)

const [inline, virtual]

Returns the number of vertices.

Implements ElementGeometry.

const double Tetrahedron::getOutRadius

(

void

)

const [inline, virtual]

get the outradius -- radius of the circumscribed sphere

Implements ElementGeometry.

const size_t Tetrahedron::getParametricDimension

(

)

const [inline, virtual]

Returns the number of dimensions in the parametric configuartion.

Implements ElementGeometry.

const std::string Tetrahedron::getPolytopeName

(

)

const [inline, virtual]

Returns the name of the geometry. It clarifies the meaning of the connectivity array.

Implements ElementGeometry.

static double Tetrahedron::mag

(

const double *

a

)

[inline, static, protected]

a vector array

Returns:

magnitued of the vector

void Tetrahedron::map	(	const double *	X,
		double *	Y
	)			const [inline, virtual]

map from parametric to real configuration.

Parameters:

	X	parametric coordinates.
	Y	returned real coordinates.

Implements ElementGeometry.

---

Member Data Documentation

const size_t Tetrahedron::FaceNodes [static, private]

Initial value:

 
        {2,1,0,   
                     2,0,3,   
                     2,3,1,   
                     0,1,3}

const double Tetrahedron::ParamCoord [static, private]

Initial value:

 
      {1,0,0, 
                         0,1,0,
                         0,0,0,
                         0,0,1}

---

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

• Tetrahedron.h
• Tetrahedron.cpp