#include <CGAL/Voronoi_diagram_2.h>

Definition

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

Below we present its interface.

See Also: CGAL::Voronoi_diagram_2<DG,AT,AP>; CGAL::Voronoi_diagram_2<DG,AT,AP>::Vertex; CGAL::Voronoi_diagram_2<DG,AT,AP>::Face; DelaunayGraph_2

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

typedef unspecified_type	Face
	A type for the faces 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 of the boundary of a Voronoi face. More...

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

typedef Delaunay_graph::Edge	Delaunay_edge
	A type for the dual edge in the Delaunay graph.

typedef Delaunay_graph::Vertex_handle	Delaunay_vertex_handle
	A type for vertex handles in the Delaunay graph.

Access Methods
Halfedge_handle	twin ()
	Returns the twin halfedge.

Halfedge_handle	opposite ()
	Same as `e.twin()`.

Halfedge_handle	next ()
	Returns the next halfedge in the counterclockwise sense around the boundary of the face that `e` is incident to.

Halfedge_handle	previous ()
	Returns the previous halfedge in the counterclockwise sense around the boundary of the adjacent face.

Face_handle	face ()
	Returns the face that `e` is incident to.

Vertex_handle	source ()
	Returns the source vertex of `e`. More...

Vertex_handle	target ()
	Returns the target vertex of `e`. More...

Ccb_halfedge_circulator	ccb ()
	Returns a bidirectional circulator to traverse the halfedges on the boundary of the Voronoi face containing `e`. More...

Delaunay_edge	dual ()
	Returns the corresponding dual edge in the Delaunay graph.

In the four methods below we consider Voronoi halfedges to be "parallel" to the \( x\)-axis, oriented from left to right.
Delaunay_vertex_handle	up ()
	Returns a handle to the vertex in the Delaunay graph corresponding to the defining site above the Voronoi edge.

Delaunay_vertex_handle	down ()
	Returns a handle to the vertex in the Delaunay graph corresponding to the defining site below the Voronoi edge.

Delaunay_vertex_handle	left ()
	Returns a handle to the vertex in the Delaunay graph corresponding to the defining site to the left of the Voronoi edge. More...

Delaunay_vertex_handle	right ()
	Returns a handle to the vertex in the Delaunay graph corresponding to the defining site to the right of the Voronoi edge. More...

Predicate Methods
bool	has_source ()
	Returns `true` iff the halfedge corresponds to a bisecting segment or a bisecting ray oriented appropriately so that its apex is its source.

bool	has_target ()
	Returns `true` iff the halfedge corresponds to a bisecting segment or a bisecting ray oriented appropriately so that its apex is its target.

bool	is_unbounded ()
	Returns `true` iff the source or the target of the halfedge does not exist, i.e., if either of `has_source()` or `has_target()` return `false`.

bool	is_bisector ()
	Returns `true` iff the Voronoi edge is an entire bisector.

bool	is_segment ()
	Returns `true` iff the Voronoi edge has both a source and a target Voronoi vertex.

bool	is_ray ()
	Returns `true` iff the Voronoi edge has either a source or a target Voronoi vertex, but not both; in other words it is a bisecting ray.

bool	is_valid ()
	Returns `true` if the following conditions are met: the halfedge is not a rejected edge with respect to the chosen adaptation policy; the twin edge of its twin edge is itself; its adjacent face is not a rejected face with respect to the chosen adaptation policy; its source and target vertices are valid (provided they exist, of course); the previous of its next halfedge is itself and the next of its previous halfedge is itself.