#include <CGAL/Polyhedron_3.h>

Definition

A facet optionally stores a plane equation, and a reference to an incident halfedge that points to the facet.

Type tags indicate whether these member functions are supported. Figure figurePolyOptionalMethods depicts the relationship between a halfedge and its incident halfedges, vertices, and facets. The circulator is assignable to the Halfedge_handle. The circulator is bidirectional if the halfedge provided to the polyhedron with the Items template argument provides a member function Halfedge::prev(), otherwise it is of the forward category.

See Also: CGAL::Polyhedron_3::Vertex; CGAL::Polyhedron_3::Halfedge; CGAL::Polyhedron_3<Traits>

Types
typedef unspecified_type	Vertex
	type of incident vertices.

typedef unspecified_type	Halfedge
	type of incident halfedges.

typedef unspecified_type	Plane_3
	plane equation type stored in facets.

typedef unspecified_type	Vertex_handle
	handle to vertex.

typedef unspecified_type	Halfedge_handle
	handle to halfedge.

typedef unspecified_type	Facet_handle
	handle to facet.

typedef unspecified_type	Halfedge_around_facet_circulator
	circulator of halfedges around a facet.

typedef unspecified_type	Vertex_const_handle

typedef unspecified_type	Halfedge_const_handle

typedef unspecified_type	Facet_const_handle

typedef unspecified_type	Halfedge_around_facet_const_circulator

typedef unspecified_type	Supports_facet_halfedge
	\( \equiv\) `CGAL::Tag_true` or `CGAL::Tag_false`.

typedef unspecified_type	Supports_facet_plane
	\( \equiv\) `CGAL::Tag_true` or `CGAL::Tag_false`.

Creation
	Facet ()
	default constructor.

Operations available if Supports_facet_plane is CGAL::Tag_true
Plane_3 &	plane ()

const Plane_3 &	plane () const
	plane equation.

Operations available if Supports_facet_halfedge is CGAL::Tag_true
Halfedge_handle	halfedge ()

Halfedge_const_handle	halfedge () const
	an incident halfedge that points to the facet.

Halfedge_around_facet_circulator	facet_begin ()

Halfedge_around_facet_const_circulator	facet_begin () const
	circulator of halfedges around the facet (counterclockwise).

void	set_halfedge (Halfedge_handle h)
	sets incident halfedge to `h`. More...

std::size_t	facet_degree () const
	the degree of the facet, i.e., number of edges on the boundary of this facet.

bool	is_triangle () const
	returns `true` if the facet is a triangle.

bool	is_quad () const
	returns `true` if the facet is a quadrilateral.

Member Function Documentation

template<typename Traits >

void CGAL::Polyhedron_3< Traits >::Facet::set_halfedge ( Halfedge_handle h)

sets incident halfedge to h.

Precondition: h is incident, i.e., h->facet() == *this.

Definition

Types

Creation

Operations available if Supports_facet_plane is CGAL::Tag_true

Operations available if Supports_facet_halfedge is CGAL::Tag_true

Member Function Documentation