CGAL 5.1.5 - 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 . More... | |
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. More... | |
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. 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
.