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

#include <CGAL/Nef_polyhedron_S2.h>

Definition

An object p of type Sphere_point<R> is a point on the surface of a unit sphere.

Such points correspond to the nontrivial directions in space and similarly to the equivalence classes of all nontrivial vectors under normalization.

Operations

Access to the coordinates is provided by the following operations. Note that the vector \( (x,y,z)\) is not normalized.

Types
typedef unspecified_type	RT
	ring number type.

Creation
	Sphere_point ()
	creates some sphere point.
	Sphere_point (RT x, RT y, RT z)
	creates a sphere point corresponding to the point of intersection of the ray starting at the origin in direction \( (x,y,z)\) and the surface of \( S_2\).

Operations
RT	x ()
	the \( x\)-coordinate.
RT	y ()
	the \( y\)-coordinate.
RT	z ()
	the \( z\)-coordinate.
bool	operator== (const Nef_polyhedron_S2< Traits >::Sphere_point &q)
	Equality.
bool	operator!= (const Nef_polyhedron_S2< Traits >::Sphere_point &q)
	Inequality.
Sphere_point	antipode ()
	returns the antipode of p.