CGAL::Triangulation_simplex_3< Triangulation_3 > Class Template Reference

#include <CGAL/Triangulation_simplex_3.h>

Definition

template<typename Triangulation_3>
class CGAL::Triangulation_simplex_3< Triangulation_3 >

The class Triangulation_simplex_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.

Parameters

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

See also

CGAL::Triangulation_3<TriangulationTraits_3,TriangulationDataStructure_3>

Types
typedef Triangulation_simplex_3< Triangulation_3 >	Simplex
	The simplex class itself. More...
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 ()
	Initializes the simplex to an invalid simplex. More...
	Triangulation_simplex_3 (Vertex_handle vh)
	Triangulation_simplex_3 (Edge e)
	Triangulation_simplex_3 (Facet f)
	Triangulation_simplex_3 (Cell_handle ch)
	Triangulation_simplex_3 (Cell_circulator ccir)
	Triangulation_simplex_3 (Facet_circulator fcir)
	Triangulation_simplex_3 (Edge_iterator eit)
	Triangulation_simplex_3 (Facet_iterator fit)

Operations
int	dimension () const
	returns the dimension of the simplex. More...
	operator Vertex_handle () const
	Returns the Vertex_handle stored in the simplex. More...
	operator Edge () const
	Returns the Edge stored in the simplex. More...
	operator Facet () const
	Returns the Facet stored in the simplex. More...
	operator Cell_handle () const
	Returns the Cell_handle stored in the simplex. More...
Cell_handle	incident_cell () const
	Returns a cell incident to the simplex. More...
bool	operator== (const Triangulation_simplex_3< Triangulation_3 > &s1)
	Test whether two simplices are equal. More...
bool	operator< (const Triangulation_simplex_3< Triangulation_3 > &s1)
	Defines a ordering on the simplices. More...

Member Typedef Documentation

Cell_circulator

template<typename Triangulation_3 >

typedef Triangulation_3::Cell_circulator CGAL::Triangulation_simplex_3< Triangulation_3 >::Cell_circulator

Cell_handle

template<typename Triangulation_3 >

typedef Triangulation_3::Cell_handle CGAL::Triangulation_simplex_3< Triangulation_3 >::Cell_handle

Edge

template<typename Triangulation_3 >

typedef Triangulation_3::Edge CGAL::Triangulation_simplex_3< Triangulation_3 >::Edge

Edge_iterator

template<typename Triangulation_3 >

typedef Triangulation_3::Edge_iterator CGAL::Triangulation_simplex_3< Triangulation_3 >::Edge_iterator

Facet

template<typename Triangulation_3 >

typedef Triangulation_3::Facet CGAL::Triangulation_simplex_3< Triangulation_3 >::Facet

Facet_circulator

template<typename Triangulation_3 >

typedef Triangulation_3::Facet_circulator CGAL::Triangulation_simplex_3< Triangulation_3 >::Facet_circulator

Facet_iterator

template<typename Triangulation_3 >

typedef Triangulation_3::Facet_iterator CGAL::Triangulation_simplex_3< Triangulation_3 >::Facet_iterator

Finite_cells_iterator

template<typename Triangulation_3 >

typedef Triangulation_3::Finite_cells_iterator CGAL::Triangulation_simplex_3< Triangulation_3 >::Finite_cells_iterator

Finite_edges_iterator

template<typename Triangulation_3 >

typedef Triangulation_3::Finite_edges_iterator CGAL::Triangulation_simplex_3< Triangulation_3 >::Finite_edges_iterator

Finite_facets_iterator

template<typename Triangulation_3 >

typedef Triangulation_3::Finite_facets_iterator CGAL::Triangulation_simplex_3< Triangulation_3 >::Finite_facets_iterator

Finite_vertices_iterator

template<typename Triangulation_3 >

typedef Triangulation_3::Finite_vertices_iterator CGAL::Triangulation_simplex_3< Triangulation_3 >::Finite_vertices_iterator

Simplex

template<typename Triangulation_3 >

typedef Triangulation_simplex_3<Triangulation_3> CGAL::Triangulation_simplex_3< Triangulation_3 >::Simplex

The simplex class itself.

Vertex_handle

template<typename Triangulation_3 >

typedef Triangulation_3::Vertex_handle CGAL::Triangulation_simplex_3< Triangulation_3 >::Vertex_handle

Constructor & Destructor Documentation

Triangulation_simplex_3() [1/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

)

Initializes the simplex to an invalid simplex.

Triangulation_simplex_3() [2/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Vertex_handle

vh

)

Triangulation_simplex_3() [3/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Edge

e

)

Triangulation_simplex_3() [4/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Facet

f

)

Triangulation_simplex_3() [5/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Cell_handle

ch

)

Triangulation_simplex_3() [6/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Cell_circulator

ccir

)

Triangulation_simplex_3() [7/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Facet_circulator

fcir

)

Triangulation_simplex_3() [8/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Edge_iterator

eit

)

Triangulation_simplex_3() [9/9]

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::Triangulation_simplex_3

(

Facet_iterator

fit

)

Member Function Documentation

dimension()

template<typename Triangulation_3 >

int CGAL::Triangulation_simplex_3< Triangulation_3 >::dimension

(

)

const

returns the dimension of the simplex.

incident_cell()

template<typename Triangulation_3 >

Cell_handle CGAL::Triangulation_simplex_3< Triangulation_3 >::incident_cell

(

)

const

Returns a cell incident to the simplex.

operator Cell_handle()

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::operator Cell_handle

(

)

const

Returns the Cell_handle stored in the simplex.

Precondition

dimension() == 3

operator Edge()

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::operator Edge

(

)

const

Returns the Edge stored in the simplex.

Precondition

dimension() == 1

operator Facet()

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::operator Facet

(

)

const

Returns the Facet stored in the simplex.

Precondition

dimension() == 2

operator Vertex_handle()

template<typename Triangulation_3 >

CGAL::Triangulation_simplex_3< Triangulation_3 >::operator Vertex_handle

(

)

const

Returns the Vertex_handle stored in the simplex.

Precondition

dimension() == 0

operator<()

template<typename Triangulation_3 >

bool CGAL::Triangulation_simplex_3< Triangulation_3 >::operator<

(

const Triangulation_simplex_3< Triangulation_3 > &

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

operator==()

template<typename Triangulation_3 >

bool CGAL::Triangulation_simplex_3< Triangulation_3 >::operator==

(

const Triangulation_simplex_3< Triangulation_3 > &

s1

)

Test whether two simplices are equal.