#include <jive/geom/ParametricShape.h>

Inheritance diagram for jive::geom::ParametricShape:

Classes
struct	PointSet

struct	PointSet_

struct	Scratch_

Public Types
typedef ShapeBoundary	Boundary

Public Types inherited from jive::geom::InternalShape
typedef jem::numeric::SparseStructure	Topology
	A type representing the boundary topology of an internal shape. More...

typedef util::IntVector	IntVector
	A type representing a one-dimensional integer array. More...

typedef util::Cubix	Cubix
	A three-dimensional array type. More...

Public Types inherited from jive::geom::Shape
typedef util::Vector	Vector
	A vector type. More...

typedef util::Matrix	Matrix
	A matrix type. More...

Public Member Functions
	ParametricShape ()

	ParametricShape (const String &name, const Matrix &ischeme, const Ref< StdShape > &xshape, const Ref< StdShape > &sshape=NIL)

	ParametricShape (const String &name, const Matrix &ischeme, const Boundary &boundary, const Ref< StdShape > &xshape, const Ref< StdShape > &sshape=NIL)

virtual void	readFrom (ObjectInput &in)

virtual void	writeTo (ObjectOutput &out) const

virtual idx_t	localRank () const
	Returns the local rank of this shape. More...

virtual idx_t	nodeCount () const
	Returns the number of nodes. More...

virtual idx_t	vertexCount () const

virtual idx_t	ipointCount () const

virtual idx_t	shapeFuncCount () const
	Returns the number of shape functions. More...

virtual idx_t	boundaryCount () const
	Returns the number of boundaries. More...

virtual String	getGeometry () const

virtual BoundaryShape *	getBoundaryShape (idx_t ibnd) const

virtual IdxVector	getBoundaryNodes (idx_t ibnd) const

virtual Topology	getBoundaryTopology () const
	Returns the boundary topology of this internal shape. More...

virtual void	getBoundaryCoords (const Matrix &x, idx_t ibnd, const Matrix &c) const

virtual void	mapBoundaryPoint (const Vector &v, idx_t ibnd, const Vector &u) const

Vector	getLocalWeights () const

virtual Matrix	getVertexCoords () const

virtual Matrix	getIntegrationScheme () const

virtual void	getGlobalIntegrationPoints (const Matrix &x, const Matrix &c) const
	Computes the integration points in the global coordinate system. More...

virtual void	getIntegrationWeights (const Vector &w, const Matrix &c) const

virtual void	getGlobalPoint (const Vector &x, const Vector &u, const Matrix &c) const

virtual bool	getLocalPoint (const Vector &u, const Vector &x, double eps, const Matrix &c) const

virtual bool	containsLocalPoint (const Vector &u) const

virtual Matrix	getShapeFunctions () const
	Returns the shape functions evaluated in the integration points. More...

virtual Matrix	getVertexFunctions () const

virtual void	evalShapeFunctions (const Vector &h, const Vector &u) const

virtual void	evalShapeGradients (const Matrix &g, const Vector &u, const Matrix &c) const

virtual void	getShapeGradients (const Cubix &g, const Vector &w, const Matrix &c) const

virtual void	getVertexGradients (const Cubix &g, const Matrix &c) const

virtual void	getBoundaryGradients (const Cubix &g, idx_t ibn, const Matrix &c) const

virtual void	evalShapeGradGrads (const Matrix &g2, const Matrix &g, const Vector &u, const Matrix &c) const

virtual void	getShapeGradGrads (const Cubix &g2, const Cubix &g, const Vector &w, const Matrix &c) const

virtual void	getVertexGradGrads (const Cubix &g2, const Cubix &g, const Matrix &c) const

virtual void	getBoundaryGradGrads (const Cubix &g2, const Cubix &g, idx_t ibn, const Matrix &c) const

virtual void	calcGradients (const Cubix &g, const Vector *w, const Matrix &c, const PointSet &points) const

virtual void	calcGradGrads (const Cubix &g2, const Cubix &g, const Vector *w, const Matrix &c, const PointSet &points) const

virtual void *	getExtByID (ExtensionID extID) const

StdShape *	getXShape () const

StdShape *	getSShape () const

Public Member Functions inherited from jive::geom::InternalShape
virtual int	globalRank () const
	Returns the global rank of this shape. More...

virtual BoundaryShape *	getBoundaryShape (int ibnd) const =0
	Returns a boundary shape object given a boundary index. More...

virtual IntVector	getBoundaryNodes (int ibnd) const =0
	Returns the indices of the nodes on one of the boundaries of this shape. More...

virtual void	getBoundaryCoords (const Matrix &x, int ibnd, const Matrix &c) const
	Collects the coordinates of the nodes on a specific boundary of this shape. More...

virtual void	getShapeGradients (const Cubix &g, const Vector &w, const Matrix &c) const
	Computes the gradients of the shape functions in the integration points of this shape. More...

virtual void	evalShapeGradients (const Matrix &g, const Vector &u, const Matrix &c) const =0
	Computes the gradients of the shape functions in a specific point within this shape. More...

virtual void	getNodeGradients (const Cubix &g, const Matrix &c) const
	Computes the gradients of the shape functions in the nodes of this shape. More...

virtual void	getBoundaryGradients (const Cubix &g, int ibnd, const Matrix &c) const =0
	Computes the gradients of the shape functions in the integration points on a boundary of this shape. More...

virtual jem::Class *	getClass () const
	Returns the `Class` instance representing the runtime class of this object. More...

Public Member Functions inherited from jive::geom::Shape
virtual int	integrationPointCount () const =0
	Returns the number of integration points. More...

virtual Matrix	getLocalNodeCoords () const =0
	Returns the coordinates of the nodes in the local coordinate system. More...

virtual Matrix	getIntegrationPoints () const =0
	Returns the integration points in the local coordinate system. More...

virtual void	getIntegrationWeights (const Vector &w, const Matrix &c) const =0
	Computes the integration weights in the global coordinate system. More...

virtual void	evalShapeFunctions (const Vector &h, const Vector &u) const =0
	Computes the shape functions in a given point. More...

virtual void	getGlobalPoint (const Vector &x, const Vector &u, const Matrix &c) const =0
	Converts a local coordinate vector to a global coordinate vector. More...

virtual bool	getLocalPoint (const Vector &u, const Vector &x, double eps, const Matrix &c) const
	Converts a global coordinate vector to a local coordinate vector. More...

virtual bool	containsLocalPoint (const Vector &u) const =0
	Tests whether a point lies within this shape. More...

Public Member Functions inherited from jem::Object
virtual String	toString () const
	Returns a short textual description of this object. More...

virtual long	hashValue () const
	Returns a hash value for this object. More...

virtual bool	equals (const Ref< Object > &obj) const
	Tests whether two objects are equal. More...

Ref< Object >	clone () const
	Returns a copy of this object. More...

Public Member Functions inherited from jive::geom::Grad2Extension
virtual void	evalShapeGradGrads (const Matrix &g2, const Matrix &g, const Vector &u, const Matrix &c) const =0

virtual void	getShapeGradGrads (const Cubix &g2, const Cubix &g, const Vector &w, const Matrix &c) const =0

virtual void	getVertexGradGrads (const Cubix &g2, const Cubix &g, const Matrix &c) const =0

virtual void	getBoundaryGradGrads (const Cubix &g2, const Cubix &g, idx_t ibnd, const Matrix &c) const =0

Protected Member Functions
virtual	~ParametricShape ()

void	updateFuncs_ (const PointSet_ &points) const

void	updateGrads_ (const PointSet_ &points) const

void	updateGrads2_ (const PointSet_ &points) const

Protected Member Functions inherited from jive::geom::InternalShape
virtual	~InternalShape ()

Protected Member Functions inherited from jem::Collectable
	Collectable ()
	Creates an empty `Collectable`. More...

	~Collectable ()
	Frees resources. More...

Protected Member Functions inherited from jive::geom::Grad2Extension
virtual	~Grad2Extension ()

Protected Member Functions inherited from jem::Interface
virtual	~Interface ()
	Empty destructor. More...

Protected Member Functions inherited from jem::io::Serializable
virtual	~Serializable ()

virtual void	emitVtableFunc_ ()

Protected Attributes
Ref< StdShape >	xshape_

Ref< StdShape >	sshape_

Vector	center_

Matrix	ischeme_

Vector	iweights_

Boundary	boundary_

idx_t	rank_

idx_t	rank2_

idx_t	ipCount_

idx_t	nodeCount_

idx_t	funcCount_

idx_t	vertexCount_

PointSet_	ipoints_

jem::Array< PointSet_ >	bpoints_

PointSet_	vertices_

Scratch_	scratch_

Static Protected Attributes
static const int	MAX_NR_ITER_

static const double	NR_ALPHA_

static const double	NR_BETA_

static const int	U_NONE_

static const int	U_FUNCS_

static const int	U_GRADS_

static const int	U_GRADS2_

static const int	U_XFUNCS_

static const int	U_XGRADS_

static const int	U_XGRADS2_

static const int	U_SFUNCS_

static const int	U_SGRADS_

static const int	U_SGRADS2_

Additional Inherited Members
Static Public Member Functions inherited from jive::geom::InternalShape
static jem::Class *	getType ()
	Returns a pointer to a `Class` object representing this class. More...

Static Public Member Functions inherited from jive::geom::Shape
static jem::Class *	getType ()
	Returns a pointer to a `Class` object representing this class. More...

Static Public Member Functions inherited from jem::Object
static Class *	getType ()
	Returns the `Class` instance representing the `Object` class. More...

Static Public Attributes inherited from jive::geom::Grad2Extension
static const jem::byte	ID [1]

Member Typedef Documentation

typedef ShapeBoundary jive::geom::ParametricShape::Boundary

Constructor & Destructor Documentation

jive::geom::ParametricShape::ParametricShape ( )

jive::geom::ParametricShape::ParametricShape	(	const String &	name,
		const Matrix &	ischeme,
		const Ref< StdShape > &	xshape,
		const Ref< StdShape > &	sshape = `NIL`
	)

jive::geom::ParametricShape::ParametricShape	(	const String &	name,
		const Matrix &	ischeme,
		const Boundary &	boundary,
		const Ref< StdShape > &	xshape,
		const Ref< StdShape > &	sshape = `NIL`
	)

virtual jive::geom::ParametricShape::~ParametricShape ( )

protectedvirtual

Member Function Documentation

virtual void jive::geom::ParametricShape::readFrom ( ObjectInput & in )

virtual

Implements jem::io::Serializable.

virtual void jive::geom::ParametricShape::writeTo ( ObjectOutput & out ) const

virtual

Implements jem::io::Serializable.

virtual idx_t jive::geom::ParametricShape::localRank ( ) const

virtual

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

Returns: The local rank of this shape.

Implements jive::geom::Shape.

virtual idx_t jive::geom::ParametricShape::nodeCount ( ) const

virtual

Returns the number of nodes attached to this shape.

Returns: The number of nodes.

Implements jive::geom::Shape.

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

virtual

virtual idx_t jive::geom::ParametricShape::ipointCount ( ) const

virtual

virtual idx_t jive::geom::ParametricShape::shapeFuncCount ( ) const

virtual

Returns the number of shape functions encapsulated by this shape. Note that the number of shape functions and the number of nodes may differ.

Returns: The number of shape functions.

Implements jive::geom::Shape.

virtual idx_t jive::geom::ParametricShape::boundaryCount ( ) const

virtual

Returns the number of boundaries of this internal shape.

Returns: The number of boundaries of this shape.

Implements jive::geom::InternalShape.

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

virtual

virtual BoundaryShape* jive::geom::ParametricShape::getBoundaryShape ( idx_t ibnd ) const

virtual

virtual IdxVector jive::geom::ParametricShape::getBoundaryNodes ( idx_t ibnd ) const

virtual

virtual Topology jive::geom::ParametricShape::getBoundaryTopology ( ) const

virtual

Returns a jem::numeric::SparseStructure that encodes the non-zero pattern of the boundary-node connectivity matrix of this internal shape. This matrix is a sparse, boolean matrix that indicates which boundaries are attached to which nodes. To be precise, the matrix entry at location (i,j) is non-zero if the i-th boundary is attached to the j-th node of this shape.

Let s denote the sparse structure returned by this function. Then s.size(0) equals the number of boundaries of this shape; s.size(1) equals the number of nodes attached to this shape; and s.getColumnIndices(i) yields an integer array containing the indices of the nodes attached to boundary i. This array is identical to the array returned by this->getBoundaryNodes(i).

For performance reasons, the returned sparse structure may point directly to the private data structures of this shape. This means that one should not modify the contents of the sparse structure; invoke the member clone ont the sparse structure if you do want to modify the sparse structure.

The default implementation of this member function provided by the InternalShape class constructs a sparse structure on the fly by repeatedly calling the member function getBoundaryNodes().

Returns: An instance of the class jem::numeric::SparseStructure that represents boundary connectivity matrix of this shape.

Reimplemented from jive::geom::InternalShape.

virtual void jive::geom::ParametricShape::getBoundaryCoords	(	const Matrix &	x,
		idx_t	ibnd,
		const Matrix &	c
	)		const

virtual

Reimplemented in jive::geom::ParametricVolume, jive::geom::Parametric4DShape, jive::geom::ParametricArea, and jive::geom::ParametricLine.

virtual void jive::geom::ParametricShape::mapBoundaryPoint	(	const Vector &	v,
		idx_t	ibnd,
		const Vector &	u
	)		const

virtual

Vector jive::geom::ParametricShape::getLocalWeights ( ) const

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

virtual

virtual Matrix jive::geom::ParametricShape::getIntegrationScheme ( ) const

virtual

virtual void jive::geom::ParametricShape::getGlobalIntegrationPoints	(	const Matrix &	x,
		const Matrix &	c
	)		const

virtual

Fills the matrix x with the global coordinates of the integration points encapsulated by this shape: x(i,j) is set to the i-th coordinate of the j-th integration point. The matrix c should contain the global coordinates of the nodes attached to this shape: c(i,j) should be equal to the i-th coordinate of the j-th node.

The default implementation of this function is given by:

Matrix u ( this->getIntegrationPoints() );
int    i;
for ( i = 0; i < u.size(1); i++ )
{
  this->getGlobalPoint ( x(slice(ALL),i), u(slice(ALL),i), c );
}

Parameters

x	- a matrix that will be filled with the global coordinates of the integration points.
c	- a matrix containing the global node coordinates.

Precondition: x.size(0) == this->globalRank() && x.size(1) == this->integrationPointCount() && c.size(0) == this->globalRank() && c.size(1) == this->nodeCount()

Reimplemented from jive::geom::Shape.

Reimplemented in jive::geom::ParametricVolume, jive::geom::Parametric4DShape, jive::geom::ParametricArea, and jive::geom::ParametricLine.

virtual void jive::geom::ParametricShape::getIntegrationWeights	(	const Vector &	w,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getGlobalPoint	(	const Vector &	x,
		const Vector &	u,
		const Matrix &	c
	)		const

virtual

virtual bool jive::geom::ParametricShape::getLocalPoint	(	const Vector &	u,
		const Vector &	x,
		double	eps,
		const Matrix &	c
	)		const

virtual

virtual bool jive::geom::ParametricShape::containsLocalPoint ( const Vector & u ) const

virtual

virtual Matrix jive::geom::ParametricShape::getShapeFunctions ( ) const

virtual

Returns a matrix containing the values of the shape functions in the integration points of this shape. If the returned matrix is denoted by h, then h(i,j) equals the value of the i-th shape function in the j-th integration point.

The contents of the returned matrix should not be modified because it may share its data with one of the private members of this shape.

Returns: A matrix containing the values of the shape functions in the integration points.

Implements jive::geom::Shape.

virtual Matrix jive::geom::ParametricShape::getVertexFunctions ( ) const

virtual

virtual void jive::geom::ParametricShape::evalShapeFunctions	(	const Vector &	h,
		const Vector &	u
	)		const

virtual

virtual void jive::geom::ParametricShape::evalShapeGradients	(	const Matrix &	g,
		const Vector &	u,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getShapeGradients	(	const Cubix &	g,
		const Vector &	w,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getVertexGradients	(	const Cubix &	g,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getBoundaryGradients	(	const Cubix &	g,
		idx_t	ibn,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::evalShapeGradGrads	(	const Matrix &	g2,
		const Matrix &	g,
		const Vector &	u,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getShapeGradGrads	(	const Cubix &	g2,
		const Cubix &	g,
		const Vector &	w,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getVertexGradGrads	(	const Cubix &	g2,
		const Cubix &	g,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::getBoundaryGradGrads	(	const Cubix &	g2,
		const Cubix &	g,
		idx_t	ibn,
		const Matrix &	c
	)		const

virtual

virtual void jive::geom::ParametricShape::calcGradients	(	const Cubix &	g,
		const Vector *	w,
		const Matrix &	c,
		const PointSet &	points
	)		const

virtual

virtual void jive::geom::ParametricShape::calcGradGrads	(	const Cubix &	g2,
		const Cubix &	g,
		const Vector *	w,
		const Matrix &	c,
		const PointSet &	points
	)		const

virtual

virtual void* jive::geom::ParametricShape::getExtByID ( ExtensionID extID ) const

virtual

StdShape* jive::geom::ParametricShape::getXShape ( ) const

StdShape* jive::geom::ParametricShape::getSShape ( ) const

void jive::geom::ParametricShape::updateFuncs_ ( const PointSet_ & points ) const

protected

void jive::geom::ParametricShape::updateGrads_ ( const PointSet_ & points ) const

protected

void jive::geom::ParametricShape::updateGrads2_ ( const PointSet_ & points ) const

protected

Member Data Documentation

const int jive::geom::ParametricShape::MAX_NR_ITER_

staticprotected

const double jive::geom::ParametricShape::NR_ALPHA_

staticprotected

const double jive::geom::ParametricShape::NR_BETA_

staticprotected

const int jive::geom::ParametricShape::U_NONE_

staticprotected

const int jive::geom::ParametricShape::U_FUNCS_

staticprotected

const int jive::geom::ParametricShape::U_GRADS_

staticprotected

const int jive::geom::ParametricShape::U_GRADS2_

staticprotected

const int jive::geom::ParametricShape::U_XFUNCS_

staticprotected

const int jive::geom::ParametricShape::U_XGRADS_

staticprotected

const int jive::geom::ParametricShape::U_XGRADS2_

staticprotected

const int jive::geom::ParametricShape::U_SFUNCS_

staticprotected

const int jive::geom::ParametricShape::U_SGRADS_

staticprotected

const int jive::geom::ParametricShape::U_SGRADS2_

staticprotected

Ref<StdShape> jive::geom::ParametricShape::xshape_

protected

Ref<StdShape> jive::geom::ParametricShape::sshape_

protected

Vector jive::geom::ParametricShape::center_

protected

Matrix jive::geom::ParametricShape::ischeme_

protected

Vector jive::geom::ParametricShape::iweights_

protected

Boundary jive::geom::ParametricShape::boundary_

protected

idx_t jive::geom::ParametricShape::rank_

protected

idx_t jive::geom::ParametricShape::rank2_

protected

idx_t jive::geom::ParametricShape::ipCount_

protected

idx_t jive::geom::ParametricShape::nodeCount_

protected

idx_t jive::geom::ParametricShape::funcCount_

protected

idx_t jive::geom::ParametricShape::vertexCount_

protected

PointSet_ jive::geom::ParametricShape::ipoints_

protected

jem::Array<PointSet_> jive::geom::ParametricShape::bpoints_

protected

PointSet_ jive::geom::ParametricShape::vertices_

protected

Scratch_ jive::geom::ParametricShape::scratch_

protected

Classes

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Additional Inherited Members

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation