Definition

The concept HalfedgeDSFace defines the requirements for the local Face type in the HalfedgeDS concept. It is also required in the Face_wrapper<Refs,Traits> member class template of an items class, see the HalfedgeDSItems concept.

A face optionally stores a reference to an incident halfedge that points to the face. A type tag indicates whether the related member functions are supported. Figure figureHalfedgeDSOptionalMethods depicts the relationship between a halfedge and its incident halfedges, vertices, and faces.

For the protection of the integrity of the data structure classes such as CGAL::Polyhedron_3 are allowed to redefine the modifying member functions to be private. In order to make them accessible for the halfedge data structure they must be derived from a base class Base where the modifying member functions are still public. (The protection can be bypassed by the user, but not by accident.)

Refines:

CopyConstructible

DefaultConstructible

Has Models:

CGAL::HalfedgeDS_face_base<Refs>

CGAL::HalfedgeDS_face_min_base<Refs>

See also: HalfedgeDS<Traits,Items,Alloc>; HalfedgeDSItems; HalfedgeDSVertex; HalfedgeDSHalfedge

Types
typedef unspecified_type	HalfedgeDS
	instantiated `HalfedgeDS` ( \( \equiv\) `Refs`).

typedef unspecified_type	Base
	base class that allows modifications.

typedef unspecified_type	Vertex
	model of `HalfedgeDSVertex`.

typedef unspecified_type	Halfedge
	model of `HalfedgeDSHalfedge`.

typedef unspecified_type	Vertex_handle
	handle to vertex.

typedef unspecified_type	Halfedge_handle
	handle to halfedge.

typedef unspecified_type	Face_handle
	handle to face.

typedef unspecified_type	Vertex_const_handle

typedef unspecified_type	Halfedge_const_handle

typedef unspecified_type	Face_const_handle

typedef unspecified_type	Supports_face_halfedge
	`CGAL::Tag_true` or `CGAL::Tag_false`.

Creation
	Face ()
	default constructor.

Operations available if Supports_face_halfedge == CGAL::Tag_true
Halfedge_handle	halfedge ()

Halfedge_const_handle	halfedge () const
	incident halfedge that points to the face.

void	set_halfedge (Halfedge_handle h)
	sets incident halfedge to `h`.

Definition

Types

Creation

Operations available if Supports_face_halfedge == CGAL::Tag_true