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CGAL 6.0 - 2D and 3D Linear Geometry Kernel
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AdaptableQuinaryFunction CGAL::side_of_oriented_sphere() Operations | |
A model of this concept must provide: | |
| Oriented_side | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s, const Kernel::Point_3 &t) |
returns the relative position of point t to the oriented sphere defined by p, q, r and s. | |
| Oriented_side Kernel::SideOfOrientedSphere_3::operator() | ( | const Kernel::Point_3 & | p, |
| const Kernel::Point_3 & | q, | ||
| const Kernel::Point_3 & | r, | ||
| const Kernel::Point_3 & | s, | ||
| const Kernel::Point_3 & | t | ||
| ) |
returns the relative position of point t to the oriented sphere defined by p, q, r and s.
The order of the points p, q, r, and s is important, since it determines the orientation of the implicitly constructed sphere. If the points p, q, r and s are positive oriented, positive side is the bounded interior of the sphere.
In case of degeneracies, CGAL::ON_ORIENTED_BOUNDARY is returned if all points are coplanar. Otherwise, there is a cyclic permutation of the five points that puts four non coplanar points first, it is used to answer the predicate: e.g. side_of_oriented_sphere(q, r, s, t, p) is returned if q, r, s, and t are non coplanar.