\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - 3D Triangulations

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CGAL::Triangulation_cell_base_3< TriangulationTraits_3, TriangulationDSCellBase_3 > Class Template Reference
Vertex and Cell Classes

`#include <CGAL/Triangulation_cell_base_3.h>`

## Inherits from

TriangulationDSCellBase_3.

## Definition

The class `Triangulation_cell_base_3` is a model of the concept `TriangulationCellBase_3`, the base cell of a 3D-triangulation.

This class can be used directly or can serve as a base to derive other classes with some additional attributes (a color for example) tuned for a specific application.

Template Parameters

  TriangulationTraits_3 | is the geometric traits class. It is actually not used by this class.
  TriangulationDSCellBase_3 | is a combinatorial cell base class from which `Triangulation_cell_base_3` derives. It has the default value `Triangulation_ds_cell_base_3<TDS>`.

Note that this model does not store the circumcenter, but computes it every time the circumcenter function is called. See `Triangulation_cell_base_with_circumcenter_3` for a way to cache the circumcenter computation.

Is Model Of:
  `TriangulationCellBase_3`

See Also
  `CGAL::Triangulation_ds_cell_base_3`
  `CGAL::Triangulation_cell_base_with_info_3`
  `CGAL::Triangulation_cell_base_with_circumcenter_3`
  `CGAL::Triangulation_vertex_base_3`

## Additional Inherited Members
Public Types inherited from TriangulationDSCellBase_3
typedef unspecified_type | Rebind_TDS
typedef TriangulationDataStructure_3 | Triangulation_data_structure
typedef TriangulationDataStructure_3::Vertex_handle | Vertex_handle
typedef TriangulationDataStructure_3::Cell_handle | Cell_handle
typedef TriangulationDataStructure_3::Cell_data | TDS_data
Public Member Functions inherited from TriangulationDSCellBase_3
| Cell_base ()
| Cell_base (Vertex_handle v0, Vertex_handle v1, Vertex_handle v2, Vertex_handle v3)
| Cell_base (Vertex_handle v0, Vertex_handle v1, Vertex_handle v2, Vertex_handle v3, Cell_handle n0, Cell_handle n1, Cell_handle n2, Cell_handle n3)
Vertex_handle | vertex (int i) const
int | index (Vertex_handle v) const
bool | has_vertex (Vertex_handle v)
bool | has_vertex (Vertex_handle v, int &i) const
Cell_handle | neighbor (int i) const
int | index (Cell_handle n) const
bool | has_neighbor (Cell_handle n)
bool | has_neighbor (Cell_handle n, int &i) const
void | set_vertex (int i, Vertex_handle v)
void | set_vertices ()
void | set_vertices (Vertex_handle v0, Vertex_handle v1, Vertex_handle v2, Vertex_handle v3)
void | set_neighbor (int i, Cell_handle n)
void | set_neighbors ()
void | set_neighbors (Cell_handle n0, Cell_handle n1, Cell_handle n2, Cell_handle n3)
bool | is_valid (bool verbose=false, int level=0) const
void * | for_compact_container () const
void *& | for_compact_container ()
TDS_data & | tds_data ()
const TDS_data & | tds_data () const
istream & | operator>> (istream &is, TriangulationDSCellBase_3 &c)
ostream & | operator<< (ostream &os, const TriangulationDSCellBase_3 &c)