blob: dac8e66d81c8e9aaa71a1becb2470bfb4d3dcc91 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
|
/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
* See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
* Author(s): Siargey Kachanovich
*
* Copyright (C) 2019 Inria
*
* Modification(s):
* - YYYY/MM Author: Description of the modification
*/
#ifndef CONCEPT_COXETER_TRIANGULATION_SIMPLEX_IN_COXETER_TRIANGULATION_H_
#define CONCEPT_COXETER_TRIANGULATION_SIMPLEX_IN_COXETER_TRIANGULATION_H_
#include <cstdlib> // for std::size_t
#include <gudhi/Permutahedral_representation.h>
namespace Gudhi {
namespace coxeter_triangulation {
/** \brief The concept SimplexInCoxeterTriangulation describes the requirements
* for a type to implement a representation of simplices in Freudenthal_triangulation
* or in Coxeter_triangulation.
*/
struct SimplexInCoxeterTriangulation {
/** \brief Type of the vertex. */
typedef Vertex_ Vertex;
/** \brief Type of the ordered partition. */
typedef Ordered_set_partition_ OrderedSetPartition;
/** \brief Dimension of the simplex. */
unsigned dimension() const;
/** \brief Type of a range of vertices, each of type Vertex. */
typedef Vertex_range;
/** \brief Returns a range of vertices of the simplex.
*/
Vertex_range vertex_range() const;
/** \brief Type of a range of faces, each of type that
* is a model of the concept SimplexInCoxeterTriangulation.
*/
typedef Face_range;
/** \brief Returns a range of permutahedral representations of k-dimensional faces
* of the simplex for some given integer parameter 'k'.
*/
Face_range face_range(std::size_t k) const;
/** \brief Returns a range of permutahedral representations of facets of the simplex.
* The dimension of the simplex must be strictly positive.
*/
Face_range facet_range() const;
/** \brief Type of a range of cofaces, each of type that
* is a model of the concept SimplexInCoxeterTriangulation.
*/
typedef Coface_range;
/** \brief Returns a range of permutahedral representations of k-dimensional cofaces
* of the simplex for some given integer parameter 'k'.
*/
Coface_range coface_range(std::size_t k) const;
/** \brief Returns a range of permutahedral representations of cofacets of the simplex.
* The dimension of the simplex must be strictly different from the ambient dimension.
*/
Coface_range cofacet_range() const;
/** \brief Returns true, if the simplex is a face of other simplex. */
bool is_face_of(const Permutahedral_representation& other) const;
};
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif
|
