CGAL 5.1  2D and 3D Linear Geometry Kernel

CGAL::side_of_bounded_sphere()
Functions  
template<typename Kernel >  
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) 
returns the relative position of point test to the oriented sphere defined by p , q , r and s . More...  
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  
) 
#include <CGAL/Kernel/global_functions.h>
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.