Definition

At the base level (see the Software Design sections of the Chapters Triangulation and Triangulation Datastructure), a cell stores handles to its four vertices and to its four neighbor cells. The vertices and neighbors are indexed 0, 1, 2 and 3. Neighbor i lies opposite to vertex i.

Since the Triangulation data structure is the class which defines the handle types, the cell base class has to be somehow parameterized by the Triangulation data structure. But since it is itself 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 vertex and cell which are given as arguments for the Triangulation data structure use void as Triangulation data structure parameter, and the Triangulation data structure then uses a rebind-like mechanism (similar to the one specified in std::allocator) in order to put itself as parameter to the vertex and cell classes. The rebound base classes so obtained are the classes which are used as base classes for the final vertex and cell classes. More information can be found in Section Software Design.

Has Models:

CGAL::Triangulation_ds_cell_base_3

CGAL::Triangulation_cell_base_3

CGAL::Triangulation_cell_base_with_info_3

See Also: TriangulationDSVertexBase_3; TriangulationVertexBase_3; TriangulationHierarchyVertexBase_3; TriangulationCellBase_3

Types
A model of the concept `TriangulationDSCellBase_3` has to provide the following types.
template<typename TDS2 >
using	Rebind_TDS = unspecified_type
	This template class has to define a type `Rebind_TDS<TDS2>::Other` which is the rebound cell, that is, the one whose `Triangulation_data_structure` will be the actually used one. More...

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

Creation
	Cell_base ()
	Default constructor.

	Cell_base (Vertex_handle v0, Vertex_handle v1, Vertex_handle v2, Vertex_handle v3)
	Initializes the vertices with `v0, v1, v2, v3`. More...

	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)
	Initializes the vertices with `v0, v1, v2, v3` and the neighbors with `n0, n1, n2, n3`.

Access Functions
Vertex_handle	vertex (int i) const
	Returns the vertex `i` of `c`. More...

int	index (Vertex_handle v) const
	Returns the index of `v`. More...

bool	has_vertex (Vertex_handle v)
	True iff `v` is a vertex of `c`.

bool	has_vertex (Vertex_handle v, int &i) const
	Returns `true` if `v` is a vertex of `c`, and computes its index `i` in `c`.

Cell_handle	neighbor (int i) const
	Returns the neighbor `i` of `c`. More...

int	index (Cell_handle n) const
	Returns the index of cell `n` in `c`. More...

bool	has_neighbor (Cell_handle n)
	Returns `true` if `n` is a neighbor of `c`.

bool	has_neighbor (Cell_handle n, int &i) const
	Returns `true` if `n` is a neighbor of `c`, and computes its index `i` in `c`.

Setting
void	set_vertex (int i, Vertex_handle v)
	Sets vertex `i` to `v`. More...

void	set_vertices ()
	Sets the vertices to the default constructed handle.

void	set_vertices (Vertex_handle v0, Vertex_handle v1, Vertex_handle v2, Vertex_handle v3)
	Sets the vertices.

void	set_neighbor (int i, Cell_handle n)
	Sets neighbor `i` to `n`. More...

void	set_neighbors ()
	Sets the neighbors to the default constructed handle.

void	set_neighbors (Cell_handle n0, Cell_handle n1, Cell_handle n2, Cell_handle n3)
	Sets the neighbors.

Checking
bool	is_valid (bool verbose=false, int level=0) const
	Performs any desired geometric test on a cell. More...

Members for Compact_container
Advanced These member functions are required by `CGAL::Triangulation_data_structure_3` 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 ()

Internal
Advanced These functions are used internally by the triangulation data structure. The user is not encouraged to use them directly as they may change in the future.
TDS_data &	tds_data ()

const TDS_data &	tds_data () const

I/O
istream &	operator>> (istream &is, TriangulationDSCellBase_3 &c)
	Inputs the possible non combinatorial information given by the cell.

ostream &	operator<< (ostream &os, const TriangulationDSCellBase_3 &c)
	Outputs the possible non combinatorial information given by the cell.

Member Typedef Documentation

template<typename TDS2 >

using TriangulationDSCellBase_3::Rebind_TDS = unspecified_type

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

Rebind_TDS<TDS2>::Other will be the real base class of Triangulation_data_structure_3::Cell.

Note: It can be implemented using a nested template class.

Member Function Documentation

TriangulationDSCellBase_3::Cell_base	(	Vertex_handle	v0,
		Vertex_handle	v1,
		Vertex_handle	v2,
		Vertex_handle	v3
	)

Initializes the vertices with v0, v1, v2, v3.

Neighbors are initialized to the default constructed handle.

int TriangulationDSCellBase_3::index ( Vertex_handle v) const

Returns the index of v.

Precondition: v is a vertex of c

int TriangulationDSCellBase_3::index ( Cell_handle n) const

Returns the index of cell n in c.

Precondition: n is a neighbor of c.

bool TriangulationDSCellBase_3::is_valid	(	bool	verbose = `false`,
		int	level = `0`
	)		const

Performs any desired geometric test on a cell.

This is a function for debugging purpose.

Debugging Support

When verbose is set to true, messages are printed to give a precise indication of the kind of invalidity encountered. level increases the level of testing.

Cell_handle TriangulationDSCellBase_3::neighbor ( int i) const

Returns the neighbor i of c.

Precondition: \( i \in\{0, 1, 2, 3\}\).

void TriangulationDSCellBase_3::set_neighbor	(	int	i,
		Cell_handle	n
	)

Sets neighbor i to n.

Precondition: \( i \in\{0, 1, 2, 3\}\).

void TriangulationDSCellBase_3::set_vertex	(	int	i,
		Vertex_handle	v
	)

Sets vertex i to v.

Precondition: \( i \in\{0, 1, 2, 3\}\).

Vertex_handle TriangulationDSCellBase_3::vertex ( int i) const

Returns the vertex i of c.

Precondition: \( i \in\{0, 1, 2, 3\}\).

Definition

Types

Creation

Access Functions

Setting

Checking

Members for Compact_container

Internal

I/O

Member Typedef Documentation

Member Function Documentation