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CGAL 6.0 - 2D and 3D Linear Geometry Kernel
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AdaptableQuaternaryFunction CGAL::coplanar_orientation() Operations | |
A model of this concept must provide: | |
| 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. | |
| 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. | |
| 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.
| 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.