CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell > Class Template Reference

#include <CGAL/Triangulation_data_structure.h>

Definition

This class is a data structure used for storing a triangulation of dimension \( d\leq D\) (D is the maximal dimension).

Parameters

Dimensionality can be either

• CGAL::Dimension_tag<D> for some integer D. This indicates that the triangulation data structure can store simplices (full cells) of dimension at most D. The maximal dimension D is known by the compiler, which triggers some optimizations. Or

• CGAL::Dynamic_dimension_tag. In this case, the maximum dimension of the simplices (full cells) is passed as an integer argument to an instance constructor (see TriangulationDataStructure).

The template parameter TriangulationDSVertex stands for a class to be used as the base Vertex type in the triangulation data structure. It must be a model of the concept TriangulationDSVertex. The class template Triangulation_data_structure can be defined by specifying only the first parameter. It also accepts the tag CGAL::Default as second parameter. In both cases, TriangulationDSVertex defaults to CGAL::Triangulation_ds_vertex<>.

The template parameter TriangulationDSFullCell stands for a class to be used as the base Full_cell type in the triangulation data structure. It must be a model of the concept TriangulationDSFullCell. The class template Triangulation_data_structure accepts that no third parameter be specified. It also accepts the tag CGAL::Default as third parameter. In both cases, TriangulationDSFullCell defaults to CGAL::Triangulation_ds_full_cell<>.

Is Model Of:

TriangulationDataStructure. In addition, the class Triangulation_data_structure provides the following types and methods.

See also

Triangulation_ds_vertex

Triangulation_ds_full_cell

Examples:

barycentric_subdivision.cpp, triangulation_data_structure_dynamic.cpp, and triangulation_data_structure_static.cpp.

Creation
	Triangulation_data_structure (const Triangulation_data_structure &t2)
	The copy constructor. More...

Validity check
bool	is_valid (bool verbose=true) const
	Implements the validity checks required by the concept TriangulationDataStructure. More...

Types
template<typename Vb2 >
using	Rebind_vertex = unspecified_type
	Advanced This template class allows to get the type of a triangulation data structure that only changes the vertex type. More...
template<typename Fcb2 >
using	Rebind_full_cell = unspecified_type
	Advanced This template class allows to get the type of a triangulation data structure that only changes the full cell type. More...

Vertex insertion
template<OutputIterator >
Full_cell_handle	insert_in_tagged_hole (Vertex_handle v, Facet f, OutputIterator new_full_cells)
	Advanced A set C of full cells satisfying the same condition as in method Triangulation_data_structure::insert_in_hole() is assumed to be marked. More...

Member Typedef Documentation

template<typename Dimensionality , typename TriangulationDSVertex , typename TriangulationDSFullCell >

template<typename Fcb2 >

using CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell >::Rebind_full_cell = unspecified_type

Advanced

This template class allows to get the type of a triangulation data structure that only changes the full cell type.

It has to define a type Other which is a rebound triangulation data structure with Fcb2 as full cell type.

Note

It can be implemented using a nested template class.

template<typename Dimensionality , typename TriangulationDSVertex , typename TriangulationDSFullCell >

template<typename Vb2 >

using CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell >::Rebind_vertex = unspecified_type

Advanced

This template class allows to get the type of a triangulation data structure that only changes the vertex type.

It has to define a type Other which is a rebound triangulation data structure with Vb2 as vertex type.

Note

It can be implemented using a nested template class.

Constructor & Destructor Documentation

template<typename Dimensionality , typename TriangulationDSVertex , typename TriangulationDSFullCell >

CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell >::Triangulation_data_structure

(

const Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell > &

t2

)

The copy constructor.

Creates a copy of the Triangulation_data_structure t2 passed as argument. All vertices and full cells are duplicated.

Member Function Documentation

template<typename Dimensionality , typename TriangulationDSVertex , typename TriangulationDSFullCell >

template<OutputIterator >

Full_cell_handle CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell >::insert_in_tagged_hole	(	Vertex_handle	v,
		Facet	f,
		OutputIterator	new_full_cells
	)

Advanced

A set C of full cells satisfying the same condition as in method Triangulation_data_structure::insert_in_hole() is assumed to be marked.

This method creates new full cells from vertex v to the boundary of C. The boundary is recognized by checking the mark of the full cells. This method is used by Triangulation_data_structure::insert_in_hole(). s

Precondition

same as TriangulationDataStructure::insert_in_hole()

template<typename Dimensionality , typename TriangulationDSVertex , typename TriangulationDSFullCell >

bool CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex, TriangulationDSFullCell >::is_valid

(

bool

verbose = true

)

const

Implements the validity checks required by the concept TriangulationDataStructure.

Note that passing all these tests does not guarantee that we have a triangulation (abstract pure simplicial complex).