CGAL 4.8.2 - 2D Voronoi Diagram Adaptor
CGAL::Voronoi_diagram_2< DG, AT, AP >::Face Class Reference

#include <CGAL/Voronoi_diagram_2.h>

## Definition

The class Face is the class provided by the Voronoi_diagram_2<DG,AT,AP> class for Voronoi faces.

Below we present its interface.

Is Model Of:

DefaultConstructible

CopyConstructible

Assignable

EqualityComparable

LessThanComparable

CGAL::Voronoi_diagram_2<DG,AT,AP>
CGAL::Voronoi_diagram_2<DG,AT,AP>::Vertex
CGAL::Voronoi_diagram_2<DG,AT,AP>::Halfedge
DelaunayGraph_2

## Types

typedef unspecified_type Vertex
A type for the vertices of the Voronoi diagram.

typedef unspecified_type Halfedge
A type for the halfedges of the Voronoi diagram.

typedef unspecified_type Vertex_handle
Handle for the vertices of the Voronoi diagram.

typedef unspecified_type Face_handle
Handle for the faces of the Voronoi diagram.

typedef unspecified_type Halfedge_handle
Handle for the halfedges of the Voronoi diagram.

typedef unspecified_type Ccb_halfedge_circulator
A type for a bidirectional circulator over the halfedges on the boundary of the face. More...

typedef unspecified_type Delaunay_graph
A type for the Delaunay graph. More...

typedef
Delaunay_graph::Vertex_handle
Delaunay_vertex_handle
A type for the handle of the dual vertex.

## Access Methods

Halfedge_handle halfedge ()
Returns an incident halfedge on the boundary of f.

Ccb_halfedge_circulator ccb ()
Returns a bidirectional circulator for traversing the halfedges on the boundary of f. More...

Delaunay_vertex_handle dual ()
Returns a handle to the corresponding dual vertex in the Delaunay graph.

## Predicate Methods

bool is_unbounded ()
Returns true iff the face is an unbounded face in the Voronoi diagram.

bool is_halfedge_on_ccb (Halfedge e)
Returns true iff e is a halfedge of the boundary of f.

bool is_valid ()
Returns true iff the following conditions are met: the face is not rejected by the chosen adaptation policy; all its adjacent halfedges do not have zero length; all its adjacent halfedges return the face as their adjacent face.

## Member Typedef Documentation

template<typename DG , typename AT , typename AP >
 typedef unspecified_type CGAL::Voronoi_diagram_2< DG, AT, AP >::Face::Ccb_halfedge_circulator

A type for a bidirectional circulator over the halfedges on the boundary of the face.

The value type of the circulator is CGAL::Voronoi_diagram_2<DG,AT,AP>::Halfedge, and is convertible to Halfedge_handle.

template<typename DG , typename AT , typename AP >
 typedef unspecified_type CGAL::Voronoi_diagram_2< DG, AT, AP >::Face::Delaunay_graph

A type for the Delaunay graph.

It is a model of the DelaunayGraph_2 concept.

## Member Function Documentation

template<typename DG , typename AT , typename AP >
 Ccb_halfedge_circulator CGAL::Voronoi_diagram_2< DG, AT, AP >::Face::ccb ( )

Returns a bidirectional circulator for traversing the halfedges on the boundary of f.

The halfedges are traversed in counterclockwise order.