jive::geom::StdSquare Class Reference

#include <jive/geom/StdSquare.h>

Inherits jive::geom::StdShape.

Inherited by jive::geom::StdSquare12, jive::geom::StdSquare16B, jive::geom::StdSquare25B, jive::geom::StdSquare3Bx2, jive::geom::StdSquare4, jive::geom::StdSquare4Bx2, jive::geom::StdSquare4Bx3B, jive::geom::StdSquare5Bx2, jive::geom::StdSquare5Bx3B, jive::geom::StdSquare6, jive::geom::StdSquare6Bx3B, jive::geom::StdSquare8, jive::geom::StdSquare9, and jive::geom::StdSquare9B.

Public Types
typedef StdSquare	Self
typedef StdShape	Super
Public Types inherited from jive::geom::StdShape
typedef jem::String	String
	A string type. More...
typedef util::Vector	Vector
	A vector type. More...
typedef util::Matrix	Matrix
	A matrix type. More...
typedef util::Cubix	Cubix
	A three-dimensional array of doubles. More...

Public Member Functions
virtual idx_t	rank () const
	Returns the rank of this shape. More...
virtual String	getGeometry () const
virtual idx_t	vertexCount () const
virtual Matrix	getVertexCoords () const
virtual bool	containsPoint (const Vector &u) const
	Tests whether a point is located within this shape. More...
virtual bool	clipPoint (const Vector &u) const
Public Member Functions inherited from jive::geom::StdShape
virtual String	name () const =0
	Returns the name of this shape. More...
virtual int	nodeCount () const =0
	Returns the number of nodes attached to this shape. More...
virtual Matrix	getNodeCoords () const =0
	Returns the local node coordinates. More...
virtual void	evalShapeFunctions (const Vector &h, const Vector &u) const =0
	Computes the shape functions in a given point. More...
virtual void	evalShapeFunctions (const Matrix &h, const Matrix &u) const
	Computes the shape functions in multiple points within this shape. More...
virtual void	evalShapeGradients (const Matrix &g, const Vector &u) const =0
	Computes the gradients of the shape functions in a specific point within this shape. More...
virtual void	evalShapeGradients (const Cubix &g, const Matrix &u) const
	Computes the gradients of the shape functions in multiple points within this shape. More...

Static Public Member Functions
static Matrix	vertexCoords ()
static Matrix	getGaussScheme (idx_t n)
static Matrix	getGaussScheme (idx_t m, idx_t n)
static Matrix	getNewtonCotesScheme (idx_t n)
static Matrix	getNewtonCotesScheme (idx_t m, idx_t n)
static Matrix	getIntegrationScheme (String &ischeme)
Static Public Member Functions inherited from jive::geom::StdShape
static void	registerShape (StdShape *shape)
	Registers a standard shape. More...
static StdShape *	findShape (const String &name)
	Searches for a standard shape with a given name. More...
static void	encodeShape (jem::io::DataOutput &out, StdShape *shape)
	Writes a standard shape to a data output stream. More...
static StdShape *	decodeShape (jem::io::DataInput &in)
	Reads a standard shape from a data input stream. More...

Static Public Attributes
static const int	RANK = 2
static const int	VERTEX_COUNT = 4
static const char *	GEOMETRY

Protected Member Functions
virtual	~StdSquare ()
Protected Member Functions inherited from jive::geom::StdShape
	StdShape ()
	Constructs an empty shape object. More...
virtual	~StdShape ()
	Protected destructor to invalidate delete expressions. More...

Member Typedef Documentation

typedef StdSquare jive::geom::StdSquare::Self

typedef StdShape jive::geom::StdSquare::Super

Constructor & Destructor Documentation

virtual jive::geom::StdSquare::~StdSquare ( )

protectedvirtual

Member Function Documentation

virtual idx_t jive::geom::StdSquare::rank ( ) const

virtual

Returns the rank (number of dimensions) of the local coordinate system of this shape.

Returns

The rank of this shape.

Implements jive::geom::StdShape.

virtual String jive::geom::StdSquare::getGeometry ( ) const

virtual

virtual idx_t jive::geom::StdSquare::vertexCount ( ) const

virtual

Reimplemented in jive::geom::StdSquare12, jive::geom::StdSquare9, jive::geom::StdSquare8, and jive::geom::StdSquare6.

static Matrix jive::geom::StdSquare::vertexCoords ( )

static

virtual Matrix jive::geom::StdSquare::getVertexCoords ( ) const

virtual

Reimplemented in jive::geom::StdSquare12, jive::geom::StdSquare9, jive::geom::StdSquare8, and jive::geom::StdSquare6.

virtual bool jive::geom::StdSquare::containsPoint ( const Vector &  u ) const

virtual

Returns true if the point specified by the local coordinate vector u lies within this shape, and false otherwise.

Parameters

u	- a local coordinate vector.

Precondition

u.size() == this->rank()

Returns

true if the specified point lies within this shape, and false otherwise.

Implements jive::geom::StdShape.

virtual bool jive::geom::StdSquare::clipPoint ( const Vector &  u ) const

virtual

static Matrix jive::geom::StdSquare::getGaussScheme ( idx_t  n )

static

static Matrix jive::geom::StdSquare::getGaussScheme ( idx_t  m, idx_t  n  )

static

static Matrix jive::geom::StdSquare::getNewtonCotesScheme ( idx_t  n )

static

static Matrix jive::geom::StdSquare::getNewtonCotesScheme ( idx_t  m, idx_t  n  )

static

static Matrix jive::geom::StdSquare::getIntegrationScheme ( String &  ischeme )

static

Member Data Documentation

const int jive::geom::StdSquare::RANK = 2

static

const int jive::geom::StdSquare::VERTEX_COUNT = 4

static

const char* jive::geom::StdSquare::GEOMETRY

static