Dune::GenericGeometry Namespace Reference

Classes
struct	BaseTopology
struct	BaseTopology< Prism< Base > >
struct	BaseTopology< Pyramid< Base > >
class	CodimTable
class	CodimTable< Element,-1 >
struct	Convert
struct	Convert< GeometryType::cube, 0 >
struct	Convert< GeometryType::cube, dim >
struct	Convert< GeometryType::prism, dim >
struct	Convert< GeometryType::pyramid, dim >
struct	Convert< GeometryType::simplex, 0 >
struct	Convert< GeometryType::simplex, dim >
struct	CubeTopology
struct	CubeTopology< 0 >
struct	DuneCoordTraits
class	DuneGeometryType
	statically convert a generic topology type into a GeometryType More...
class	DuneGeometryType< Point, linetype >
class	DuneGeometryType< Prism< BaseTopology >, linetype >
class	DuneGeometryType< Pyramid< BaseTopology >, linetype >
class	DuneGeometryTypeProvider
	dynamically convert a generic topology type into a GeometryType More...
struct	FieldHelper
class	GenericSubTopologyNumbering
struct	GenericSubTopologyNumberingHelper
struct	GenericSubTopologyNumberingHelper< Prism< BaseTopology >, codim, subdim, 0 >
struct	GenericSubTopologyNumberingHelper< Prism< BaseTopology >, codim, subdim, subcodim >
struct	GenericSubTopologyNumberingHelper< Prism< BaseTopology >, codim, subdim, subdim >
struct	GenericSubTopologyNumberingHelper< Pyramid< BaseTopology >, codim, subdim, 0 >
struct	GenericSubTopologyNumberingHelper< Pyramid< BaseTopology >, codim, subdim, subcodim >
struct	GenericSubTopologyNumberingHelper< Pyramid< BaseTopology >, codim, subdim, subdim >
class	IfTopology
class	IfTopology< Operation, 0, Topology >
struct	IsCube
struct	IsGeneralizedPrism
struct	IsGeneralizedPrism< Prism< BaseTopology > >
struct	IsHybrid
struct	IsSimplex
struct	MatrixHelper
struct	Point
struct	Prism
struct	PrismTopology
struct	Pyramid
struct	PyramidTopology
struct	ReferenceDomain
class	ReferenceDomainBase
struct	ReferenceElement
struct	SimplexTopology
struct	SimplexTopology< 0 >
struct	Size
	Statically compute the number of subentities of a given codimension. More...
class	SizeImpl
class	SizeImpl< Point, dim, codim >
class	SizeImpl< Prism< BaseTopology >, dim, 0 >
class	SizeImpl< Prism< BaseTopology >, dim, codim >
class	SizeImpl< Prism< BaseTopology >, dim, dim >
class	SizeImpl< Pyramid< BaseTopology >, dim, 0 >
class	SizeImpl< Pyramid< BaseTopology >, dim, codim >
class	SizeImpl< Pyramid< BaseTopology >, dim, dim >
struct	SubTopology
class	SubTopologyImpl
class	SubTopologyImpl< Point, dim, codim, i >
class	SubTopologyImpl< Prism< BaseTopology >, dim, 0, i >
class	SubTopologyImpl< Prism< BaseTopology >, dim, codim, i >
class	SubTopologyImpl< Prism< BaseTopology >, dim, dim, i >
class	SubTopologyImpl< Pyramid< BaseTopology >, dim, 0, i >
class	SubTopologyImpl< Pyramid< BaseTopology >, dim, codim, i >
class	SubTopologyImpl< Pyramid< BaseTopology >, dim, dim, i >
class	SubTopologyMapper
class	SubTopologyNumbering
class	SubTopologySize
class	Topology
class	Topology< id, 0 >

Enumerations
enum	TopologyConstruction { pyramidConstruction = 0, prismConstruction = 1 }

Functions
unsigned long	referenceVolumeInverse (unsigned int topologyId, int dim)
template<class ct , int cdim>
bool	checkInside (unsigned int topologyId, int dim, const FieldVector< ct, cdim > &x, ct tolerance, ct factor=ct(1))
template<class ct , int cdim>
unsigned int	referenceCorners (unsigned int topologyId, int dim, FieldVector< ct, cdim > *corners)
template<class ct >
ct	referenceVolume (unsigned int topologyId, int dim)
template<class ct , int cdim>
unsigned int	referenceOrigins (unsigned int topologyId, int dim, int codim, FieldVector< ct, cdim > *origins)
template<class ct , int cdim, int mydim>
unsigned int	referenceEmbeddings (unsigned int topologyId, int dim, int codim, FieldVector< ct, cdim > *origins, FieldMatrix< ct, mydim, cdim > *jacobianTransposeds)
template<class ct , int cdim>
unsigned int	referenceIntegrationOuterNormals (unsigned int topologyId, int dim, const FieldVector< ct, cdim > *origins, FieldVector< ct, cdim > *normals)
template<class ct , int cdim>
unsigned int	referenceIntegrationOuterNormals (unsigned int topologyId, int dim, FieldVector< ct, cdim > *normals)
unsigned int	size (unsigned int topologyId, int dim, int codim)
	Compute the number of subentities of a given codimension. More...
unsigned int	subTopologyId (unsigned int topologyId, int dim, int codim, unsigned int i)
	Compute the topology id of a given subentity. More...
void	subTopologyNumbering (unsigned int topologyId, int dim, int codim, unsigned int i, int subcodim, unsigned int *beginOut, unsigned int *endOut)
unsigned int	numTopologies (int dim)
	obtain the number of topologies of a given dimension More...
bool	isPyramid (unsigned int topologyId, int dim, int codim=0)
	check whether a pyramid construction was used to create a given codimension More...
bool	isPrism (unsigned int topologyId, int dim, int codim=0)
	check whether a prism construction was used to create a given codimension More...
bool	isTopology (TopologyConstruction construction, unsigned int topologyId, int dim, int codim=0)
	check whether a specific topology construction was used to create a given codimension More...
unsigned int	baseTopologyId (unsigned int topologyId, int dim, int codim=1)
	obtain the base topology of a given codimension More...

Enumeration Type Documentation

enum Dune::GenericGeometry::TopologyConstruction

Enumerator
pyramidConstruction
prismConstruction

Function Documentation

unsigned int Dune::GenericGeometry::baseTopologyId ( unsigned int  topologyId, int  dim, int  codim = 1  )

inline

obtain the base topology of a given codimension

Parameters

[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 1)

References numTopologies().

Referenced by checkInside(), referenceCorners(), referenceEmbeddings(), referenceIntegrationOuterNormals(), referenceOrigins(), referenceVolumeInverse(), size(), subTopologyId(), and subTopologyNumbering().

template<class ct , int cdim>

bool Dune::GenericGeometry::checkInside ( unsigned int  topologyId, int  dim, const FieldVector< ct, cdim > &  x, ct  tolerance, ct  factor = ct( 1 )  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by Dune::GenericGeometry::ReferenceDomain< Topology >::checkInside().

bool Dune::GenericGeometry::isPrism ( unsigned int  topologyId, int  dim, int  codim = 0  )

inline

check whether a prism construction was used to create a given codimension

Parameters

[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 0)

Returns

true, if a prism construction was used to generate the codimension the topology.

References numTopologies().

Referenced by Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::affine(), checkInside(), Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::global(), Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::jacobianTransposed(), referenceCorners(), referenceEmbeddings(), referenceIntegrationOuterNormals(), referenceOrigins(), referenceVolumeInverse(), size(), subTopologyId(), and subTopologyNumbering().

bool Dune::GenericGeometry::isPyramid ( unsigned int  topologyId, int  dim, int  codim = 0  )

inline

check whether a pyramid construction was used to create a given codimension

Parameters

[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 0)

Returns

true, if a pyramid construction was used to generate the codimension the topology.

References numTopologies().

Referenced by Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::global(), Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::jacobianTransposed(), size(), subTopologyId(), and subTopologyNumbering().

bool Dune::GenericGeometry::isTopology ( TopologyConstruction  construction, unsigned int  topologyId, int  dim, int  codim = 0  )

inline

check whether a specific topology construction was used to create a given codimension

Parameters

[in]	construction	construction to check for
[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 0)

Returns

true, if construction was used to generate the codimension the topology.

References numTopologies().

unsigned int Dune::GenericGeometry::numTopologies ( int  dim )

inline

obtain the number of topologies of a given dimension

Note

Valid topology ids are 0,...,numTopologies(dim)-1.

Parameters

[in]

dim

dimension

Returns

number of topologies for the dimension

Referenced by baseTopologyId(), Dune::ReferenceElement< ctype, dim >::SubEntityInfo::capacity(), checkInside(), Dune::TopologySingletonFactory< Factory >::create(), Dune::ReferenceElementContainer< ctype, dim >::end(), Dune::ReferenceElement< ctype, dim >::integrationOuterNormal(), isPrism(), isPyramid(), isTopology(), referenceCorners(), Dune::ReferenceElementContainer< ctype, dim >::ReferenceElementContainer(), referenceEmbeddings(), referenceIntegrationOuterNormals(), referenceOrigins(), referenceVolumeInverse(), Dune::TopologySingletonFactory< Factory >::release(), and size().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceCorners ( unsigned int  topologyId, int  dim, FieldVector< ct, cdim > *  corners  )

inline

References baseTopologyId(), isPrism(), numTopologies(), referenceVolumeInverse(), and size().

Referenced by Dune::ReferenceElement< ctype, dim >::integrationOuterNormal().

template<class ct , int cdim, int mydim>

unsigned int Dune::GenericGeometry::referenceEmbeddings ( unsigned int  topologyId, int  dim, int  codim, FieldVector< ct, cdim > *  origins, FieldMatrix< ct, mydim, cdim > *  jacobianTransposeds  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by Dune::ReferenceElement< ctype, dim >::SubEntityInfo::capacity().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceIntegrationOuterNormals ( unsigned int  topologyId, int  dim, const FieldVector< ct, cdim > *  origins, FieldVector< ct, cdim > *  normals  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by Dune::ReferenceElement< ctype, dim >::integrationOuterNormal(), and referenceIntegrationOuterNormals().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceIntegrationOuterNormals ( unsigned int  topologyId, int  dim, FieldVector< ct, cdim > *  normals  )

inline

References referenceIntegrationOuterNormals(), referenceOrigins(), and size().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceOrigins ( unsigned int  topologyId, int  dim, int  codim, FieldVector< ct, cdim > *  origins  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by referenceIntegrationOuterNormals().

template<class ct >

ct Dune::GenericGeometry::referenceVolume ( unsigned int  topologyId, int  dim  )

inline

References referenceVolumeInverse().

unsigned long Dune::GenericGeometry::referenceVolumeInverse	(	unsigned int	topologyId,
		int	dim
	)

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by referenceCorners(), and referenceVolume().

unsigned int Dune::GenericGeometry::size	(	unsigned int	topologyId,
		int	dim,
		int	codim
	)

Compute the number of subentities of a given codimension.

References baseTopologyId(), isPrism(), isPyramid(), and numTopologies().

Referenced by Dune::ReferenceElement< ctype, dim >::SubEntityInfo::initialize(), Dune::ReferenceElement< ctype, dim >::integrationOuterNormal(), Dune::GenericGeometry::SubTopologyNumbering< Topology, codim, subcodim >::number(), referenceCorners(), referenceIntegrationOuterNormals(), subTopologyId(), Dune::GenericGeometry::SubTopologyMapper< Topology >::SubTopologyMapper(), and subTopologyNumbering().

unsigned int Dune::GenericGeometry::subTopologyId	(	unsigned int	topologyId,
		int	dim,
		int	codim,
		unsigned int	i
	)

Compute the topology id of a given subentity.

Parameters

topologyId	Topology id of entity
dim	Dimension of entity
codim	Codimension of the subentity that we are interested in
i	Number of the subentity that we are interested in

References baseTopologyId(), isPrism(), isPyramid(), prismConstruction, pyramidConstruction, and size().

Referenced by Dune::ReferenceElement< ctype, dim >::SubEntityInfo::initialize(), and subTopologyNumbering().

void Dune::GenericGeometry::subTopologyNumbering	(	unsigned int	topologyId,
		int	dim,
		int	codim,
		unsigned int	i,
		int	subcodim,
		unsigned int *	beginOut,
		unsigned int *	endOut
	)

References baseTopologyId(), isPrism(), isPyramid(), size(), and subTopologyId().

Referenced by Dune::ReferenceElement< ctype, dim >::SubEntityInfo::initialize(), and Dune::GenericGeometry::GenericSubTopologyNumbering< Topology, codim, subcodim >::number().