CGAL 6.1 - dD Triangulations

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TriangulationDSVertex Concept Reference
Reference Manual » Concepts

## Definition

The concept `TriangulationDSVertex` describes the requirements for the vertex base class of a `CGAL::Triangulation_data_structure`. It refines the concept `TriangulationDataStructure::Vertex`.

Since the `CGAL::Triangulation_data_structure` is the class which defines the handle types, the vertex base class has to be somehow parameterized by the triangulation data structure. But since the `CGAL::Triangulation_data_structure` itself is parameterized by the cell and vertex base classes, there is a cycle in the definition of these classes. In order to break the cycle, the base classes for cells and vertices which are plugged in to instantiate a `Triangulation_data_structure` use a `void` as triangulation data structure parameter. Then, the `CGAL::Triangulation_data_structure` uses a rebind mechanism (similar to the one specified in `std::allocator`) in order to plug itself as parameter in the full cell and vertex base classes. This mechanism requires that the base class provides a templated nested class `Rebind_TDS` that itself provides the subtype `Rebind_TDS::Other` which is the rebound version of the base class. This rebound base class is the class that the `CGAL::Triangulation_data_structure` actually uses as a base class for the class of `CGAL::Triangulation_data_structure::Vertex`.

Refines
  `TriangulationDataStructure::Vertex`

Has models
  `CGAL::Triangulation_ds_vertex<TriangulationDataStructure_>`
  `CGAL::Triangulation_vertex<TriangulationTraits_, Data, TriangulationDSVertex_>`

See also
  `TriangulationDSFullCell`
  `TriangulationDSFace`
  `TriangulationDataStructure`
  `TriangulationDataStructure::Vertex`

## Types
typedef unspecified_type | Triangulation_data_structure
| The `Triangulation_data_structure` in which the vertex is defined/used.
template<typename TDS2 >
using | Rebind_TDS = unspecified_type
| This nested template class has to define a type `Rebind_TDS<TDS2>::Other` which is the rebound vertex, that is, the one that will be actually used by `Triangulation_data_structure`.

## Creation
| TriangulationDSVertex ()
| The default constructor (no incident full cell is set).
| TriangulationDSVertex (Full_cell_handle c)
| Sets the incident full cell to `c`.

## Memory Management
These member functions are required by `Triangulation_data_structure` because it uses `CGAL::Compact_container` to store its cells. See the documentation of `CGAL::Compact_container` for the exact requirements.
void * | for_compact_container () const
void | for_compact_container (void *p)

## Member Typedef Documentation

## ◆ Rebind_TDS

template<typename TDS2 >

using TriangulationDSVertex::Rebind_TDS = unspecified_type

This nested template class has to define a type `Rebind_TDS<TDS2>::Other` which is the rebound vertex, that is, the one that will be actually used by `Triangulation_data_structure`.

The `Rebind_TDS<TDS2>::Other` type will be the real base class of `Triangulation_data_structure::Vertex`.

Note
  It can be implemented using a nested template class.

## ◆ Triangulation_data_structure

typedef unspecified_type TriangulationDSVertex::Triangulation_data_structure

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

Must be a model of the `TriangulationDataStructure` concept.

## Constructor & Destructor Documentation

## ◆ TriangulationDSVertex()

TriangulationDSVertex::TriangulationDSVertex | ( | Full_cell_handle | c | ) |

Sets the incident full cell to `c`.

Precondition
  `c` must not be the default-constructed `Full_cell_handle`.