CGAL 4.10.1 - 2D Boolean Operations on Nef Polygons Embedded on the Sphere
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#include <CGAL/Nef_polyhedron_S2.h>
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 . | |