CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Halffacet 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 >::Halffacet

A halffacet is an oriented, rectilinear bounded part of a plane.

The following figure depicts the incidences to halfedges, vertices and the notion of facet cycles.

The member function twin() returns the opposite halffacet, incident_volume returns the incident volume. A Halffacet cycle either consists of consecutive shalfedges along the border (or a hole) of the halffacet, or of a single shalfloop on the sphere map of a vertex isolated on the halffacet. The iterator range (halffacet_cycles_begin()/halffacet_cycles_end()) provides an entry element for each halffacet cycle of a halffacet.

Creation

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

See also

CGAL::Nef_polyhedron_3::Volume

CGAL::Nef_polyhedron_3::Halfedge

CGAL::Nef_polyhedron_3::SHalfedge

Types
The following types are the same as in Nef_polyhedron_3<Traits>.
typedef unspecified_type	Mark
	type of mark. More...
typedef unspecified_type	Plane_3
	plane type stored in Halffacet. More...
typedef unspecified_type	Object_list
	list of Object handles. More...
typedef unspecified_type	Halffacet_const_handle
	const handle to Halffacet. More...
typedef unspecified_type	Volume_const_handle
	const handle to volume. More...
typedef unspecified_type	Halffacet_cycle_const_iterator
	const iterator over the entries to all halffacet cycles of a halffacet. More...

Operations
const Mark &	mark () const
	the mark of f . More...
const Plane_3 &	plane () const
	the supporting plane of f . More...
Halffacet_const_handle	twin () const
	the twin of f . More...
Volume_const_handle	incident_volume () const
	the incident volume of f . More...
Halffacet_cycle_const_iterator	facet_cycles_begin () const
	iterator over the entries to all halffacet cycles of f . More...
Halffacet_cycle_const_iterator	facet_cycles_end () const
	past-the-end iterator. More...

Member Typedef Documentation

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 >::Halffacet::Halffacet_const_handle

const handle to Halffacet.

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 >::Halffacet::Halffacet_cycle_const_iterator

const iterator over the entries to all halffacet cycles of a halffacet.

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 >::Halffacet::Mark

type of 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 >::Halffacet::Object_list

list of Object handles.

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 >::Halffacet::Plane_3

plane type stored in Halffacet.

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 >::Halffacet::Volume_const_handle

const handle to volume.

Member Function Documentation

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

Halffacet_cycle_const_iterator CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Halffacet::facet_cycles_begin

(

)

const

iterator over the entries to all halffacet cycles of f .

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

Halffacet_cycle_const_iterator CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Halffacet::facet_cycles_end

(

)

const

past-the-end iterator.

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

Volume_const_handle CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Halffacet::incident_volume

(

)

const

the incident volume of f .

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 >::Halffacet::mark

(

)

const

the mark of f .

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

const Plane_3& CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Halffacet::plane

(

)

const

the supporting plane of f .

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 >::Halffacet::twin

(

)

const

the twin of f .