ArrangementDcelFace Concept Reference

Definition

A face record in a Dcel data structure. A face may either be unbounded, otherwise it has an incident halfedge along the chain defining its outer boundary. A face may also contain holes and isolated vertices in its interior.

See also

ArrangementDcel

ArrangementDcelVertex

ArrangementDcelHalfedge

Types
The non-mutable iterators Hole_const_iterator, and Isolated_vertex_const_iterator are also defined.
typedef unspecified_type	Vertex
	the corresponding Dcel vertex type.
typedef unspecified_type	Halfedge
	the corresponding Dcel halfedge type.
typedef unspecified_type	Hole_iterator
	a bidirectional iterator over the holes in inside the face. More...
typedef unspecified_type	Isolated_vertex_iterator
	a bidirectional iterator over the isolated vertices in inside the face. More...

Creation
	Arr_dcel_face ()
	default constructor.
void	assign (const Self &other)
	assigns f with the contents of the other face.

Access Functions
All functions below also have const counterparts, returning non-mutable pointers or iterators:
bool	is_unbounded () const
	returns whether the face is unbounded.
Halfedge *	halfedge ()
	returns an incident halfedge along the outer boundary of the face. More...
size_t	number_of_holes () const
	returns the number of holes inside f.
Hole_iterator	holes_begin ()
	returns a begin-iterator for the holes inside f.
Hole_iterator	holes_end ()
	returns a past-the-end iterator for the holes inside f.
size_t	number_of_isolated_vertices () const
	returns the number of isolated vertices inside f.
Isolated_vertex_iterator	isolated_vertices_begin ()
	returns a begin-iterator for the isolated vertices inside f.
Isolated_vertex_iterator	isolated_vertices_end ()
	returns a past-the-end iterator for the isolated vertices inside f.

Modifiers
void	set_unbounded (bool flag)
	sets the face as unbounded (if flag is true), or as a bounded face (if it is false).
void	set_halfedge (Halfedge *e)
	sets the incident halfedge.
void	add_hole (Halfedge *e)
	adds e as a hole inside f.
void	erase_hole (Hole_iterator it)
	removes the hole that it points to from inside f.
void	add_isolated_vertex (Vertex *v)
	adds v as an isolated vertex inside f.
void	erase_isolated_vertex (Isolated_vertex_iterator it)
	removes the isolated vertex that it points to from inside f.

Member Typedef Documentation

Hole_iterator

typedef unspecified_type ArrangementDcelFace::Hole_iterator

a bidirectional iterator over the holes in inside the face.

Its value-type is Halfedge*.

Isolated_vertex_iterator

typedef unspecified_type ArrangementDcelFace::Isolated_vertex_iterator

a bidirectional iterator over the isolated vertices in inside the face.

Its value-type is Vertex*.

Member Function Documentation

halfedge()

Halfedge* ArrangementDcelFace::halfedge

(

)

returns an incident halfedge along the outer boundary of the face.

If f has no outer boundary, the function returns nullptr.