CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop Class Reference

#include <CGAL/Nef_polyhedron_3.h>

Definition

template<class Nef_polyhedronTraits_3, class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>
class CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop

A shalfloop is a great circle on a sphere map. Figure figureNef3HalfloopIncidences depicts the relationship between a shalfloop and its incident shalfloops, and sfaces on a sphere map. 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.

A sphere map having a shalfloop models the neighborhood of a vertex which is isolated on a facet. That facet is returned by the member function facet.

Creation

There is no need for a user to create a SHalfloop explicitly. The class Nef_polyhedron_3<Traits> manages the needed shalfloops internally.

See also

CGAL::Nef_polyhedron_3::Halffacet

CGAL::Nef_polyhedron_3::SFace

CGAL::Nef_polyhedron_S2::Sphere_point

Types
The following types are the same as in Nef_polyhedron_3<Traits>.
typedef unspecified_type	Mark
	type of mark. More...
typedef unspecified_type	Sphere_circle
	sphere circle type stored in SHalfloop. More...
typedef unspecified_type	Halffacet_const_handle
	const handle to Halffacet. 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 se . More...
const Sphere_circle &	circle () const
	the sphere circle of se . More...
SHalfloop_const_handle	twin () const
	the twin of se . More...
Halffacet_const_handle	facet () const
	the facet that corresponds to se in the 3D incidence structure. More...
SFace_const_handle	incident_sface () const
	the incident sface of se . More...

Member Typedef Documentation

Halffacet_const_handle

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

typedef unspecified_type CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::Halffacet_const_handle

const handle to Halffacet.

Mark

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

typedef unspecified_type CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::Mark

type of mark.

SFace_const_handle

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

typedef unspecified_type CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::SFace_const_handle

const handle to SFace.

SHalfloop_const_handle

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

typedef unspecified_type CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::SHalfloop_const_handle

const handle to SHalfloop.

Sphere_circle

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

typedef unspecified_type CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::Sphere_circle

sphere circle type stored in SHalfloop.

Member Function Documentation

circle()

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

const Sphere_circle& CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::circle

(

)

const

the sphere circle of se .

facet()

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

Halffacet_const_handle CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::facet

(

)

const

the facet that corresponds to se in the 3D incidence structure.

incident_sface()

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

SFace_const_handle CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::incident_sface

(

)

const

the incident sface of se .

mark()

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

const Mark& CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::mark

(

)

const

the mark of se .

twin()

template<class Nef_polyhedronTraits_3 , class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>

SHalfloop_const_handle CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop::twin

(

)

const

the twin of se .