side_of_oriented_sphere_grp
CGAL::side_of_oriented_sphere()
typename [Kernel]
Oriented_side
Oriented_side CGAL::side_of_oriented_sphere
(const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &test)
side_of_oriented_sphere
const [CGAL::Point_3]< [Kernel] > &
p
const [CGAL::Point_3]< [Kernel] > &
q
const [CGAL::Point_3]< [Kernel] > &
r
const [CGAL::Point_3]< [Kernel] > &
s
const [CGAL::Point_3]< [Kernel] > &
test
returns the relative position of point test 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. CGAL::side_of_oriented_sphere(q, r, s, test, p) is returned if q, r, s, and test are non coplanar.
[CGAL::side_of_bounded_sphere()]