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

#include <CGAL/Nef_polyhedron_S2.h>

Definition

template<typename Traits>
class CGAL::Nef_polyhedron_S2< Traits >::SHalfloop

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. More...
typedef unspecified_type	Sphere_circle
	sphere circle type stored in SHalfloop. More...
typedef unspecified_type	SHalfloop_const_handle
	const handle to SHalfloop. More...
typedef unspecified_type	SFace_const_handle
	const handle to SFace. More...

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

Member Typedef Documentation

Mark

template<typename Traits >

typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::Mark

type of mark.

SFace_const_handle

template<typename Traits >

typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::SFace_const_handle

const handle to SFace.

SHalfloop_const_handle

template<typename Traits >

typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::SHalfloop_const_handle

const handle to SHalfloop.

Sphere_circle

template<typename Traits >

typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::Sphere_circle

sphere circle type stored in SHalfloop.

Member Function Documentation

circle()

template<typename Traits >

const Sphere_circle& CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::circle

(

)

const

the sphere circle of the halfloop.

incident_sface()

template<typename Traits >

SFace_const_handle CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::incident_sface

(

)

const

the incident sface of the halfloop.

mark()

template<typename Traits >

const Mark& CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::mark

(

)

const

the mark of the halfloop.

twin()

template<typename Traits >

SHalfloop_const_handle CGAL::Nef_polyhedron_S2< Traits >::SHalfloop::twin

(

)

const

the twin of the halfloop.