CGAL 4.13.2 - 2D and 3D Linear Geometry Kernel
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AdaptableFunctor
(with five arguments) CGAL::side_of_oriented_sphere()
Operations | |
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 . More... | |
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.