Gudhi::witness_complex::SimplicialComplexForWitness Struct Reference

The concept SimplicialComplexForWitness describes the requirements for a type to implement a simplicial complex, used for example to build a Witness_complex or Strong_witness_complex. More...

Public Types

typedef unspecified Simplex_handle
 
typedef unspecified Insertion_result_type
 Return type of an insertion of a simplex.
 

Public Member Functions

Simplex_handle null_simplex ()
 Returns a Simplex_hanlde that is different from all simplex handles of the simplices. More...
 
std::size_t num_vertices ()
 
template<typedef Input_vertex_range>
Insertion_result_type insert_simplex (Input_vertex_range const &vertex_range, Filtration_value filtration)
 Inserts a simplex with vertices from a given range 'vertex_range' in the simplicial complex. The function is only used in Witness_complex class and by construction, it is not necessary to check if the faces are in the simplicial complex before insertion. The simplex is given the filtration value 'filtration'. Filtration_value should be convertible from double. The return type is not used.
 
template<typedef Input_vertex_range, typedef Filtration_value>
Insertion_result_type insert_simplex_and_subfaces (Input_vertex_range const &vertex_range, Filtration_value filtration)
 Inserts a simplex and all its faces with vertices from a given range 'vertex_range' in the simplicial complex. The function is only used in Strong_witness_complex class. All inserted simplices are given the filtration value 'filtration'. Filtration_value should be convertible from double. The return type is not used.
 
template<typedef Input_vertex_range>
Simplex_handle find (Input_vertex_range const &vertex_range)
 Finds a simplex with vertices given by a range. More...
 
void set_dimension (int dimension)
 Sets the dimension of the simplicial complex to 'dimension'.
 
double filtration (Simplex_handle sh)
 Returns the filtration of the simplex given by the simplex handle 'sh'.
 

Detailed Description

The concept SimplicialComplexForWitness describes the requirements for a type to implement a simplicial complex, used for example to build a Witness_complex or Strong_witness_complex.

Member Typedef Documentation

◆ Simplex_handle

Handle to specify a simplex.

Member Function Documentation

◆ find()

template<typedef Input_vertex_range>
Simplex_handle Gudhi::witness_complex::SimplicialComplexForWitness::find ( Input_vertex_range const &  vertex_range)

Finds a simplex with vertices given by a range.

If a simplex exists, its Simplex_handle is returned. Otherwise null_simplex() is returned.

◆ null_simplex()

Simplex_handle Gudhi::witness_complex::SimplicialComplexForWitness::null_simplex ( )

Returns a Simplex_hanlde that is different from all simplex handles of the simplices.

Handle to specify a vertex. Must be a non-negative integer.

◆ num_vertices()

std::size_t Gudhi::witness_complex::SimplicialComplexForWitness::num_vertices ( )

Returns the number of vertices in the simplicial complex


The documentation for this struct was generated from the following file:
GUDHI  Version 3.3.0  - C++ library for Topological Data Analysis (TDA) and Higher Dimensional Geometry Understanding.  - Copyright : MIT Generated on Tue Aug 11 2020 11:09:14 for GUDHI by Doxygen 1.8.13