Gudhi::coxeter_triangulation::Permutahedral_representation< Vertex_, Ordered_set_partition_ > Class Template Reference

A class that stores the permutahedral representation of a simplex in a Coxeter triangulation or a Freudenthal-Kuhn triangulation. More...

Public Types
typedef Vertex_	Vertex
	Type of the vertex.
typedef Ordered_set_partition_	OrderedSetPartition
	Type of the ordered partition.

Public Member Functions
	Permutahedral_representation (const Vertex &vertex, const OrderedSetPartition &partition)
	Permutahedral_representation constructor from a vertex and an ordered set partition. More...
	Permutahedral_representation ()
	Constructor for an empty permutahedral representation that does not correspond to any simplex.
std::size_t	dimension () const
	Dimension of the simplex.
Vertex &	vertex ()
	Lexicographically-minimal vertex.
const Vertex &	vertex () const
	Lexicographically-minimal vertex.
OrderedSetPartition &	partition ()
	Ordered set partition.
const OrderedSetPartition &	partition () const
	Identifying vertex.
bool	operator== (const Permutahedral_representation &other) const
	Equality operator. Returns true if an only if both vertex and the ordered set partition coincide.
bool	operator!= (const Permutahedral_representation &other) const
	Inequality operator. Returns true if an only if either vertex or the ordered set partition are different.
Vertex_range	vertex_range () const
	Returns a range of vertices of the simplex. The type of vertices is Vertex.
Face_range	face_range (std::size_t value_dim) const
	Returns a range of permutahedral representations of faces of the simplex. More...
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 value_dim) const
	Returns a range of permutahedral representations of cofaces of the simplex. More...
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 (the size of the vertex).
bool	is_face_of (const Permutahedral_representation &other) const
	Returns true, if the simplex is a face of other simplex. More...

Detailed Description

template<class Vertex_, class Ordered_set_partition_>
class Gudhi::coxeter_triangulation::Permutahedral_representation< Vertex_, Ordered_set_partition_ >

A class that stores the permutahedral representation of a simplex in a Coxeter triangulation or a Freudenthal-Kuhn triangulation.

The data structure is a record consisting of a range that represents the vertex and a range that represents the ordered set partition, both of which identify the simplex in the triangulation.

Template Parameters

Vertex_	needs to be a random-access range.
Ordered_set_partition_	needs to be a a random-access range that consists of random-access ranges.

Constructor & Destructor Documentation

Permutahedral_representation()

template<class Vertex_ , class Ordered_set_partition_ >

Gudhi::coxeter_triangulation::Permutahedral_representation< Vertex_, Ordered_set_partition_ >::Permutahedral_representation ( const Vertex &  vertex, const OrderedSetPartition &  partition  )

inline

Permutahedral_representation constructor from a vertex and an ordered set partition.

Parameters

[in]	vertex	Vertex.
[in]	partition	Ordered set partition.

If the size of vertex is d, the ranges in partition must consist of the integers 0,...,d without repetition or collision between the ranges.

Member Function Documentation

coface_range()

template<class Vertex_ , class Ordered_set_partition_ >

Coface_range Gudhi::coxeter_triangulation::Permutahedral_representation< Vertex_, Ordered_set_partition_ >::coface_range ( std::size_t  value_dim ) const

inline

Returns a range of permutahedral representations of cofaces of the simplex.

Parameters

[in]

value_dim

The dimension of the cofaces. Must be between the dimension of the simplex and the ambient dimension (the size of the vertex).

face_range()

template<class Vertex_ , class Ordered_set_partition_ >

Face_range Gudhi::coxeter_triangulation::Permutahedral_representation< Vertex_, Ordered_set_partition_ >::face_range ( std::size_t  value_dim ) const

inline

Returns a range of permutahedral representations of faces of the simplex.

Parameters

[in]

value_dim

The dimension of the faces. Must be between 0 and the dimension of the simplex.

is_face_of()

template<class Vertex_ , class Ordered_set_partition_ >

bool Gudhi::coxeter_triangulation::Permutahedral_representation< Vertex_, Ordered_set_partition_ >::is_face_of ( const Permutahedral_representation< Vertex_, Ordered_set_partition_ > &  other ) const

inline

Returns true, if the simplex is a face of other simplex.

Parameters

[in]

other

A simplex that is potential a coface of the current simplex.

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

• include/gudhi/Permutahedral_representation.h