TriangulationVertex Concept Reference

Definition

The concept TriangulationVertex describes the requirements on the type used by the class Triangulation<TriangulationTraits, TriangulationDataStructure>, and its derived classes, to represent a vertex.

Refines:

TriangulationDSVertex We only list below the additional specific requirements of TriangulationVertex. Compared to TriangulationDSVertex, the main difference is the addition of an association of the vertex with a geometric point.

Has Models:

CGAL::Triangulation_vertex<TriangulationTraits, Data, TriangulationDSVertex>

Input/Output

These operators can be used directly and are called by the I/O operator of class Triangulation.

See also

Triangulation_vertex<TriangulationTraits, Data, TriangulationDSVertex>

TriangulationFullCell

Triangulation<TriangulationTraits, TriangulationDataStructure>

Types
typedef unspecified_type	Point
	The type of the point stored in the vertex. More...

Creation
	TriangulationVertex (Full_cell_handle c, const Point &p)
	Constructs a vertex with incident full cell c. More...
	TriangulationVertex (const Point &p)
	Same as above, but without incident full cell. More...
	TriangulationVertex ()
	Same as above, but with a default-constructed Point. More...

Operations
void	set_point (const Point &p)
	The parameter p becomes the new geometrical position of the vertex. More...
const Point &	point () const
	Returns the vertex's position. More...
std::istream &	operator>> (std::istream &is, TriangulationVertex &v)
	Inputs the non-combinatorial information given by the vertex, i.e., the point and other possible information. More...
std::ostream &	operator<< (std::ostream &os, const TriangulationVertex &v)
	Outputs the non-combinatorial information given by the vertex, i.e., the point and other possible information. More...

Member Typedef Documentation

typedef unspecified_type TriangulationVertex::Point

The type of the point stored in the vertex.

It must be the same as the point type TriangulationTraits::Point (or its refined concepts) when the TriangulationVertex is used in the class Triangulation<TriangulationTraits, TriangulationDataStructure> (or its derived classes).

Constructor & Destructor Documentation

TriangulationVertex::TriangulationVertex	(	Full_cell_handle	c,
		const Point &	p
	)

Constructs a vertex with incident full cell c.

The vertex is embedded at point p.

TriangulationVertex::TriangulationVertex

(

const Point &

p

)

Same as above, but without incident full cell.

TriangulationVertex::TriangulationVertex

(

)

Same as above, but with a default-constructed Point.

Member Function Documentation

std::ostream& TriangulationVertex::operator<<	(	std::ostream &	os,
		const TriangulationVertex &	v
	)

Outputs the non-combinatorial information given by the vertex, i.e., the point and other possible information.

std::istream& TriangulationVertex::operator>>	(	std::istream &	is,
		TriangulationVertex &	v
	)

Inputs the non-combinatorial information given by the vertex, i.e., the point and other possible information.

const Point& TriangulationVertex::point

(

)

const

Returns the vertex's position.

void TriangulationVertex::set_point

(

const Point &

p

)

The parameter p becomes the new geometrical position of the vertex.