Triangulation_simplex_3<Triangulation

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CGAL::Triangulation_simplex_3<Triangulation_3>

Definition

The class Triangulation_simplex_3<Triangulation_3> stores a simplex of any dimension defined by the Triangulation_3 class. It also defines the operator less such that simplices can be stored in a map or a set of simplices. The simplex is invalidated by any change in the triangulation.

#include <CGAL/Triangulation_simplex_3.h>

Parameters

It is parameterized by the triangulation it derives the simplices from.

Types

typedef Triangulation_simplex_3<Triangulation_3>
	Simplex;	The simplex class itself.

typedef Triangulation_3::Vertex_handle
	Vertex_handle;
typedef Triangulation_3::Edge	Edge;
typedef Triangulation_3::Facet	Facet;
typedef Triangulation_3::Cell_handle
	Cell_handle;

typedef Triangulation_3::Cell_circulator
	Cell_circulator;
typedef Triangulation_3::Facet_circulator
	Facet_circulator;

typedef Triangulation_3::Edge_iterator
	Edge_iterator;
typedef Triangulation_3::Facet_iterator
	Facet_iterator;

typedef Triangulation_3::Finite_vertices_iterator
	Finite_vertices_iterator;
typedef Triangulation_3::Finite_edges_iterator
	Finite_edges_iterator;
typedef Triangulation_3::Finite_facets_iterator
	Finite_facets_iterator;
typedef Triangulation_3::Finite_cells_iterator
	Finite_cells_iterator;

Creation

Triangulation_simplex_3<Triangulation_3> simplex;
	Initializes the simplex to an invalid simplex.

Triangulation_simplex_3<Triangulation_3> simplex ( Vertex_handle vh);
Triangulation_simplex_3<Triangulation_3> simplex ( Edge e);
Triangulation_simplex_3<Triangulation_3> simplex ( Facet f);
Triangulation_simplex_3<Triangulation_3> simplex ( Cell_handle ch);

Triangulation_simplex_3<Triangulation_3> simplex ( Cell_circulator ccir);
Triangulation_simplex_3<Triangulation_3> simplex ( Facet_circulator fcir);

Triangulation_simplex_3<Triangulation_3> simplex ( Edge_iterator eit);
Triangulation_simplex_3<Triangulation_3> simplex ( Facet_iterator fit);

Operations

int

simplex.dimension ()

returns the dimension of the simplex.

Vertex_handle

Vertex_handle ( simplex)

Returns the Vertex_handle stored in the simplex.

Precondition:

dimension() == 0

Edge

Edge ( simplex)

Returns the Edge stored in the simplex.

Precondition:

dimension() == 1

Facet

Facet ( simplex)

Returns the Facet stored in the simplex.

Precondition:

dimension() == 2

Cell_handle

Cell_handle ( simplex)

Returns the Cell_handle stored in the simplex.

Precondition:

dimension() == 3

Cell_handle

simplex.incident_cell ()

Returns a cell incident to the simplex.

bool

simplex == s1

Test whether two simplices are equal.

bool

simplex < s1

Defines a ordering on the simplices. This ordering depends on the memory layout and is independent of the geometry. Therefore, the ordering is not intrinsic

CGAL::Triangulation_simplex_3<Triangulation_3>

Definition

Parameters

Types

Creation

Operations

See Also