|
An object c of type Sphere_circle is an oriented great circle on the surface of a unit sphere. Such circles correspond to the intersection of an oriented plane (that contains the origin) and the surface of S2. The orientation of the great circle is that of a counterclockwise walk along the circle as seen from the positive halfspace of the oriented plane.
| Nef_polyhedron_S2<Traits>::Sphere_circle::RT | |
|
ring type.
| |
| Nef_polyhedron_S2<Traits>::Sphere_circle::Plane_3 | |
|
plane a Sphere_circle lies in.
| |
| Nef_polyhedron_S2<Traits>::Sphere_circle c; | |||
|
creates some great circle.
| |||
| Nef_polyhedron_S2<Traits>::Sphere_circle c ( Sphere_point p, Sphere_point q); | |||
|
If p and q are
opposite of each other, then we create the unique great circle on S2
which contains p and q. This circle is oriented such
that a walk along c meets p just before the shorter segment
between p and q. If p and q are opposite of each other then
we create any great circle that contains p and q.
| |||
| Nef_polyhedron_S2<Traits>::Sphere_circle c ( Plane_3 h); | |||
creates the
circle corresponding to the plane h.
| |||
| Nef_polyhedron_S2<Traits>::Sphere_circle c ( RT x, RT y, RT z); | |||
|
creates the circle orthogonal to the vector (x,y,z).
| |||
| Nef_polyhedron_S2<Traits>::Sphere_circle c ( Sphere_circle c, Sphere_point p); | |||
creates a great circle orthogonal to c that contains p.
| |||
| Sphere_circle | c.opposite () | Returns a sphere circle in the oppostie direction of c. |
| bool | c.has_on ( Sphere_point p) | returns true iff c contains p. |
| Plane_3 | c.plane () | returns the plane supporting c. |
| Sphere_point | c.orthogonal_pole () | returns the point that is the pole of the hemisphere left of c. |
| bool | equal_as_sets ( const c1, const c2) | |
| returns true iff c1 and c2 are equal as unoriented circles. | ||