CGAL::Nef_polyhedron_S2< Traits >::SHalfloop Class Reference

#include <CGAL/Nef_polyhedron_S2.h>

Definition

A sloop is a great circle on a sphere.

A shalfloop is an oriented sloop. It is always paired with a shalfloop whose supporting Sphere_circle is pointing in the opposite direction. The twin() member function returns this shalfloop of opposite orientation. Each Nef_polyhedron_S2 can only have one sloop (resp. two shalfloops).

The figure below depicts the relationship between a shalfloop and sfaces on a sphere map.

Incidences of an SHalfloop

Creation

There is no need for a user to create a SHalfloop explicitly. The class Nef_polyhedron_S2<Traits> manages the needed shalfloops internally.

See Also

CGAL::Nef_polyhedron_S2::SFace

CGAL::Nef_polyhedron_S2::Sphere_circle

Types
The following types are the same as in Nef_polyhedron_S2<Traits>.
typedef unspecified_type	Mark
	type of mark.
typedef unspecified_type	Sphere_circle
	sphere circle type stored in SHalfloop.
typedef unspecified_type	SHalfloop_const_handle
	const handle to SHalfloop.
typedef unspecified_type	SFace_const_handle
	const handle to SFace.

Operations
const Mark &	mark () const
	the mark of the halfloop.
const Sphere_circle &	circle () const
	the sphere circle of the halfloop.
SHalfloop_const_handle	twin () const
	the twin of the halfloop.
SFace_const_handle	incident_sface () const
	the incident sface of the halfloop.