TriangulationDataStructure_2::Vertex Concept Reference

Definition

The concept TriangulationDataStructure_2::Vertex describes the type used by a TriangulationDataStructure_2 to store the vertices.

Some of the requirements listed below are of geometric nature and are optional when using the triangulation data structure class alone. They became required when the triangulation data structure is plugged into a triangulation.

Creation

In order to obtain new vertices or destruct unused vertices, the user must call the create_vertex() and delete_vertex() methods of the triangulation data structure.

Has models

CGAL::Triangulation_ds_vertex_base_2<Tds>

See also

TriangulationDSVertexBase_2

TriangulationDataStructure_2::Face

TriangulationDataStructure_2

Types
The class TriangulationDataStructure_2::Vertex defines the same types as the triangulation data structure except the iterators.
typedef unspecified_type	Point
	Optional for the triangulation data structure used alone.

Access Functions
Point	point () const
	returns the geometric information of the vertex.
Face_handle	face () const
	returns a face of the triangulation having *this as a vertex.

Setting
void	set_point (const Point &p)
	This is an advanced function.
void	set_face (Face_handle f)
	This is an advanced function.

Checking
bool	is_valid (bool verbose=false) const
	Checks the validity of the vertex.
std::istream &	operator>> (std::istream &is, TriangulationDataStructure_2::Vertex &v)
	Inputs the non-combinatorial information possibly stored in the vertex.
std::ostream &	operator<< (std::ostream &os, const TriangulationDataStructure_2::Vertex &v)
	Outputs the non combinatorial operation possibly stored in the vertex.

Member Function Documentation

is_valid()

bool TriangulationDataStructure_2::Vertex::is_valid

(

bool

verbose = false

)

const

Checks the validity of the vertex.

Must check that its incident face has this vertex. The validity of the base vertex is also checked.

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

set_face()

void TriangulationDataStructure_2::Vertex::set_face

(

Face_handle

f

)

This is an advanced function.

Advanced

sets the incident face to f.

set_point()

void TriangulationDataStructure_2::Vertex::set_point

(

const Point &

p

)

This is an advanced function.

Advanced

sets the geometric information to p.