CGAL 6.1.1 - dD Triangulations

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TriangulationDSFace Concept Reference
Reference Manual » Concepts

## Definition

A `TriangulationDSFace` describes a face `f` with dimension `k` (a `k`-face) in a triangulation. It gives access to a handle to a full cell `c` containing the face `f` in its boundary, as well as the indices of the vertices of `f` in `c`. It must hold that `f` is a proper face of full cell `c`, i.e., the dimension of `f` is strictly less than the dimension of `c`. The dimension of a face is implicitly set when `TriangulationDSFace::set_index` is called. For example, if `TriangulationDSFace::set_index` is called two times to set the first two vertices (`i = 0` and `i = 1`), then the dimension is 1.

Has models
  `CGAL::Triangulation_face<TriangulationDataStructure_>`

See also
  `TriangulationDSFullCell`
  `TriangulationDSVertex`
  `TriangulationDataStructure`

## Types
typedef unspecified_type | Triangulation_data_structure
| The `Triangulation_data_structure` in which the `TriangulationDSFace` is defined/used.
typedef unspecified_type | Full_cell_handle
| Must be the same as the nested type `Triangulation_data_structure::Full_cell_handle`.
typedef unspecified_type | Vertex_handle
| Must be the same as the nested type `Triangulation_data_structure::Vertex_handle`.

## Creation
There is no default constructor, since the maximal dimension (of the full cells) must be known by the constructors of a `TriangulationDSFace`.
| TriangulationDSFace (TriangulationDSFace g)
| Copy constructor.
| TriangulationDSFace (Full_cell_handle c)
| Sets the face's full cell to `c` and the maximal dimension to `c.maximal_dimension()`.
| TriangulationDSFace (const int md)
| Setup the face knowing the maximal dimension `md`.

## Access Functions
Full_cell_handle | full_cell () const
| Returns a handle to a cell that has the face in its boundary.
int | face_dimension () const
| Returns the dimension of the face (one less than the number of vertices).
int | index (int i) const
| Returns the index of the `i`-th vertex of the face in the cell `f.full_cell()`.
Vertex_handle | vertex (int i) const
| Returns a handle to the `i`-th `Vertex` of the face in the cell `f`.

## Update Functions
void | clear ()
| Sets the facet to the empty set.
void | set_full_cell (Full_cell_handle c)
| Sets the cell of the face to `c`.
void | set_index (int i, int j)
| Sets the index of the `i`-th vertex of the face to be the `j`-th vertex of the full cell.

## Member Typedef Documentation

## ◆ Triangulation_data_structure

typedef unspecified_type TriangulationDSFace::Triangulation_data_structure

The `Triangulation_data_structure` in which the `TriangulationDSFace` is defined/used.

Must be a model of the `TriangulationDataStructure` concept.

## Constructor & Destructor Documentation

## ◆ TriangulationDSFace() [1/2]

TriangulationDSFace::TriangulationDSFace | ( | Full_cell_handle | c | ) |

Sets the face's full cell to `c` and the maximal dimension to `c.maximal_dimension()`.

Precondition
  `c!=Full_cell_handle()`

## ◆ TriangulationDSFace() [2/2]

TriangulationDSFace::TriangulationDSFace | ( | const int | md | ) |

Setup the face knowing the maximal dimension `md`.

Sets the face's full cell to the default-constructed one.

## Member Function Documentation

## ◆ clear()

void TriangulationDSFace::clear | ( |  | ) |

Sets the facet to the empty set.

Maximal dimension remains unchanged.

## ◆ index()

int TriangulationDSFace::index | ( | int | i | ) | const

Returns the index of the `i`-th vertex of the face in the cell `f.full_cell()`.

Precondition
  \(0 \leq i \leq \)`f.face_dimension()`.

## ◆ set_full_cell()

void TriangulationDSFace::set_full_cell | ( | Full_cell_handle | c | ) |

Sets the cell of the face to `c`.

Precondition
  `c!=Full_cell_handle()`

## ◆ set_index()

void TriangulationDSFace::set_index | ( | int | i,
|  | int | j
| ) |  |

Sets the index of the `i`-th vertex of the face to be the `j`-th vertex of the full cell.

Precondition
  \(0 \leq i \leq \) `f.full_cell()->face_dimension()`.
  \(0 \leq j \leq \) `f.full_cell()->maximal_dimension()`.

## ◆ vertex()

Vertex_handle TriangulationDSFace::vertex | ( | int | i | ) | const

Returns a handle to the `i`-th `Vertex` of the face in the cell `f`.

`full_cell()`.

Precondition
  \(0 \leq i \leq \) `f.face_dimension()`.