Searching...
No Matches
Gudhi::coxeter_triangulation::SimplexInCoxeterTriangulation Struct Reference

The concept SimplexInCoxeterTriangulation describes the requirements for a type to implement a representation of simplices in Freudenthal_triangulation or in Coxeter_triangulation. More...

#include <concept/Coxeter_triangulation/SimplexInCoxeterTriangulation.h>

## Public Types

typedef Vertex_ Vertex
Type of the vertex.

typedef Ordered_set_partition_ OrderedSetPartition
Type of the ordered partition.

## Public Member Functions

unsigned dimension () const
Dimension of the simplex.

Vertex_range vertex_range () const
Returns a range of vertices of the simplex.

Face_range face_range (std::size_t k) const
Returns a range of permutahedral representations of k-dimensional faces of the simplex for some given integer parameter 'k'.

Face_range facet_range () const
Returns a range of permutahedral representations of facets of the simplex. The dimension of the simplex must be strictly positive.

Coface_range coface_range (std::size_t k) const
Returns a range of permutahedral representations of k-dimensional cofaces of the simplex for some given integer parameter 'k'.

Coface_range cofacet_range () const
Returns a range of permutahedral representations of cofacets of the simplex. The dimension of the simplex must be strictly different from the ambient dimension.

bool is_face_of (const Permutahedral_representation &other) const
Returns true, if the simplex is a face of other simplex.

## Public Attributes

typedef Vertex_range
Type of a range of vertices, each of type Vertex.

typedef Face_range
Type of a range of faces, each of type that is a model of the concept SimplexInCoxeterTriangulation.

typedef Coface_range
Type of a range of cofaces, each of type that is a model of the concept SimplexInCoxeterTriangulation.

## Detailed Description

The concept SimplexInCoxeterTriangulation describes the requirements for a type to implement a representation of simplices in Freudenthal_triangulation or in Coxeter_triangulation.

The documentation for this struct was generated from the following file: