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

#include <CGAL/Nef_polyhedron_S2.h>

Definition

template<typename Traits>
class CGAL::Nef_polyhedron_S2< Traits >::Sphere_point

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. More...

Creation
	Sphere_point ()
	creates some sphere point. More...
	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 \( S_2\). More...

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

Member Typedef Documentation

RT

template<typename Traits >

typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::RT

ring number type.

Constructor & Destructor Documentation

Sphere_point() [1/2]

template<typename Traits >

CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::Sphere_point

(

)

creates some sphere point.

Sphere_point() [2/2]

template<typename Traits >

CGAL::Nef_polyhedron_S2< Traits >::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 \( S_2\).

Member Function Documentation

antipode()

template<typename Traits >

Sphere_point CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::antipode

(

)

returns the antipode of p.

operator!=()

template<typename Traits >

bool CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::operator!=

(

const Nef_polyhedron_S2< Traits >::Sphere_point &

q

)

Inequality.

operator==()

template<typename Traits >

bool CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::operator==

(

const Nef_polyhedron_S2< Traits >::Sphere_point &

q

)

Equality.

x()

template<typename Traits >

RT CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::x

(

)

the \( x\)-coordinate.

y()

template<typename Traits >

RT CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::y

(

)

the \( y\)-coordinate.

z()

template<typename Traits >

RT CGAL::Nef_polyhedron_S2< Traits >::Sphere_point::z

(

)

the \( z\)-coordinate.