Dune Core Modules (2.9.1)
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...)
Function Documentation
◆ binomial()
|
inline |
calculate \(\left({upper}\atop{lower}\right)\)
Runtime is of order O(min {lower, upper-lower})
\deprecate Use binomial from dune/common/math instead. Will be removed after Dune 2.9.
References Dune::factorial(), and Dune::Simd::Overloads::min().
◆ factorial()
|
inline |
Calculate n!
Runtime is of order O(n).
\deprecate Use factorial from dune/common/math instead. Will be removed after Dune 2.9.
◆ getPermutation()
FieldVector< int, n > Dune::RefinementImp::Simplex::getPermutation | ( | int | m | ) |
Calculate permutation from it's index.
Runtime is of order O(n).
◆ kuhnToReference()
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()
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 Dune::binomial().
◆ referenceToKuhn()
FieldVector< CoordType, dimension > Dune::RefinementImp::Simplex::referenceToKuhn | ( | FieldVector< CoordType, dimension > | point, |
const FieldVector< int, dimension > & | kuhn | ||
) |
Map from the reference simplex to some Kuhn 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 to