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CGAL 5.4 - 2D and 3D Linear Geometry Kernel
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CGAL 5.4 - 2D and 3D Linear Geometry Kernel
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#include <CGAL/Ray_2.h>
An object r of the data type Ray_2 is a directed straight ray in the two-dimensional Euclidean plane \( \E^2\).
It starts in a point called the source of r and goes to infinity.
Creation | |
| Ray_2 (const Point_2< Kernel > &p, const Point_2< Kernel > &q) | |
introduces a ray r with source p and passing through point q. | |
| Ray_2 (const Point_2< Kernel > &p, const Direction_2< Kernel > &d) | |
introduces a ray r starting at source p with direction d. | |
| Ray_2 (const Point_2< Kernel > &p, const Vector_2< Kernel > &v) | |
introduces a ray r starting at source p with the direction of v. | |
| Ray_2 (const Point_2< Kernel > &p, const Line_2< Kernel > &l) | |
introduces a ray r starting at source p with the same direction as l. | |
Operations | |
| bool | operator== (const Ray_2< Kernel > &h) const |
| Test for equality: two rays are equal, iff they have the same source and the same direction. | |
| bool | operator!= (const Ray_2< Kernel > &h) const |
| Test for inequality. | |
| Point_2< Kernel > | source () const |
returns the source of r. | |
| Point_2< Kernel > | point (const Kernel::FT i) const |
returns a point on r. More... | |
| Direction_2< Kernel > | direction () const |
returns the direction of r. | |
| Vector_2< Kernel > | to_vector () const |
returns a vector giving the direction of r. | |
| Line_2< Kernel > | supporting_line () const |
returns the line supporting r which has the same direction. | |
| Ray_2< Kernel > | opposite () const |
| returns the ray with the same source and the opposite direction. | |
Predicates | |
| bool | is_degenerate () const |
ray r is degenerate, if the source and the second defining point fall together (that is if the direction is degenerate). | |
| bool | is_horizontal () const |
| bool | is_vertical () const |
| bool | has_on (const Point_2< Kernel > &p) const |
A point is on r, iff it is equal to the source of r, or if it is in the interior of r. | |
| bool | collinear_has_on (const Point_2< Kernel > &p) const |
checks if point p is on r. More... | |
Miscellaneous | |
| Ray_2< Kernel > | transform (const Aff_transformation_2< Kernel > &t) const |
returns the ray obtained by applying t on the source and on the direction of r. | |
| bool CGAL::Ray_2< Kernel >::collinear_has_on | ( | const Point_2< Kernel > & | p | ) | const |
checks if point p is on r.
This function is faster than function has_on() if the precondition checking is disabled.
p is on the supporting line of r. | Point_2<Kernel> CGAL::Ray_2< Kernel >::point | ( | const Kernel::FT | i | ) | const |
returns a point on r.
point(0) is the source, point(i), with i>0, is different from the source.
1.8.13