CGAL 5.6.1 - 3D Boolean Operations on Nef Polyhedra
CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::SHalfloop Class Reference

#include <CGAL/Nef_polyhedron_3.h>


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.


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


The following types are the same as in Nef_polyhedron_3<Traits>.

typedef unspecified_type Mark
 type of mark.
typedef unspecified_type Sphere_circle
 sphere circle type stored in SHalfloop.
typedef unspecified_type Halffacet_const_handle
 const handle to Halffacet.
typedef unspecified_type SHalfloop_const_handle
 const handle to SHalfloop.
typedef unspecified_type SFace_const_handle
 const handle to SFace.


const Markmark () const
 the mark of se .
const Sphere_circlecircle () const
 the sphere circle of se .
SHalfloop_const_handle twin () const
 the twin of se .
Halffacet_const_handle facet () const
 the facet that corresponds to se in the 3D incidence structure.
SFace_const_handle incident_sface () const
 the incident sface of se .