This namespace contains the Refinement implementation for simplices (triangles, tetrahedrons...) More...

Functions
Utilities
int	factorial (int n)
	Calculate n! More...

int	binomial (int upper, int lower)
	calculate \(\left({upper}\atop{lower}\right)\) More...

template<int dimension>
int	pointIndex (const FieldVector< int, dimension > &point)
	calculate the index of a given gridpoint within a Kuhn0 simplex More...

template<int n>
FieldVector< int, n >	getPermutation (int m)
	Calculate permutation from it's index. More...

template<int dimension, class CoordType >
FieldVector< CoordType, dimension >	referenceToKuhn (FieldVector< CoordType, dimension > point, const FieldVector< int, dimension > &kuhn)
	Map from the reference simplex to some Kuhn simplex. More...

template<int dimension, class CoordType >
FieldVector< CoordType, dimension >	kuhnToReference (FieldVector< CoordType, dimension > point, const FieldVector< int, dimension > &kuhn)
	Map from some Kuhn simplex to the reference simplex. More...

Detailed Description

This namespace contains the Refinement implementation for simplices (triangles, tetrahedrons...)

See Refinement implementation for simplices.

Function Documentation

◆ binomial()

int Dune::RefinementImp::Simplex::binomial	(	int	upper,
		int	lower
	)

inline

calculate \(\left({upper}\atop{lower}\right)\)

Runtime is of order O(min {lower, upper-lower})

References factorial().

Referenced by pointIndex(), Dune::AlbertaGridEntity< codim, dim, Grid >::subEntities(), and Dune::AlbertaGridEntity< 0, dim, Grid >::subEntities().

◆ factorial()

int Dune::RefinementImp::Simplex::factorial ( int n )

inline

Calculate n!

Runtime is of order O(n).

Referenced by binomial().

◆ getPermutation()

template<int n>

FieldVector<int, n> Dune::RefinementImp::Simplex::getPermutation ( int m )

Calculate permutation from it's index.

Runtime is of order O(n).

◆ kuhnToReference()

template<int dimension, class CoordType >

FieldVector<CoordType, dimension> Dune::RefinementImp::Simplex::kuhnToReference	(	FieldVector< CoordType, dimension >	point,
		const FieldVector< int, dimension > &	kuhn
	)

Map from some Kuhn simplex to the reference simplex.

Template Parameters

dimension	Dimension of the simplices
CoordType	The C++ type of the coordinates

Runtime is of order O(dimension)

Parameters

point	Point to map
kuhn	Permutation of the Kuhn simplex to map from

◆ pointIndex()

template<int dimension>

int Dune::RefinementImp::Simplex::pointIndex ( const FieldVector< int, dimension > & point )

calculate the index of a given gridpoint within a Kuhn0 simplex

Runtime is of order O(dimension^2) (or better for dimension > the coordinates of the point)

References binomial().

◆ referenceToKuhn()