CGAL 5.1.5 - 2D and 3D Linear Geometry Kernel
|
AdaptableFunctor
(with four arguments)CGAL::coplanar_orientation()
Operations | |
Orientation | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s) |
If p , q , and s are collinear, then CGAL::COLLINEAR is returned. More... | |
Orientation | operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r) |
If p , q , and r are collinear, then CGAL::COLLINEAR is returned. More... | |
Orientation Kernel::CoplanarOrientation_3::operator() | ( | const Kernel::Point_3 & | p, |
const Kernel::Point_3 & | q, | ||
const Kernel::Point_3 & | r, | ||
const Kernel::Point_3 & | s | ||
) |
If p
, q
, and s
are collinear, then CGAL::COLLINEAR is returned.
If not, let P
be the plane defined by the points p
, q
, and r
. Note that the order defines the orientation of P
. If P
and the plane defined by p
, q
, and s
have the same orientation, then 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 Kernel::CoplanarOrientation_3::operator() | ( | const Kernel::Point_3 & | p, |
const Kernel::Point_3 & | q, | ||
const Kernel::Point_3 & | r | ||
) |
If p
, q
, and r
are collinear, then CGAL::COLLINEAR is returned.
If not, let P
be the plane defined by the points p
, q
, and r
. 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 as a 2D orientation in P
.