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CGAL 6.0 - 2D and 3D Linear Geometry Kernel
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Functions | |
| template<typename Kernel > | |
| Orientation | CGAL::coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s) |
Let P be the plane defined by the points p, q, and r. | |
| template<typename Kernel > | |
| Orientation | CGAL::coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r) |
If p,q,r are collinear, then CGAL::COLLINEAR is returned. | |
| Orientation CGAL::coplanar_orientation | ( | const CGAL::Point_3< Kernel > & | p, |
| const CGAL::Point_3< Kernel > & | q, | ||
| const CGAL::Point_3< Kernel > & | r | ||
| ) |
#include <CGAL/Kernel/global_functions.h>
If p,q,r are collinear, then CGAL::COLLINEAR is returned.
If not, then p,q,r define a plane p. The return value in this case is either CGAL::POSITIVE or CGAL::NEGATIVE, but we don't specify it explicitly. However, we guarantee that all calls to this predicate over 3 points in p will return a coherent orientation if considered a 2D orientation in p.
| Orientation CGAL::coplanar_orientation | ( | const CGAL::Point_3< Kernel > & | p, |
| const CGAL::Point_3< Kernel > & | q, | ||
| const CGAL::Point_3< Kernel > & | r, | ||
| const CGAL::Point_3< Kernel > & | s | ||
| ) |
#include <CGAL/Kernel/global_functions.h>
Let P be the plane defined by the points p, q, and r.
Note that the order defines the orientation of P. The function computes the orientation of points p, q, and s in P: Iff p, q, s are collinear, CGAL::COLLINEAR is returned. Iff P and the plane defined by p, q, and s have the same orientation, CGAL::POSITIVE is returned; otherwise CGAL::NEGATIVE is returned.
p, q, r, and s are coplanar and p, q, and r are not collinear.