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## CGAL::Ray_3<Kernel>

### Definition

An object r of the data type Ray_3<Kernel> is a directed straight ray in the three-dimensional Euclidean space 3. It starts in a point called the source of r and it goes to infinity.

### Creation

Ray_3<Kernel> r ( Point_3<Kernel> p, Point_3<Kernel> q);
| introduces a ray r with source p and passing through point q.
Ray_3<Kernel> r ( Point_3<Kernel> p, Direction_3<Kernel> d);
| introduces a ray r with source p and with direction d.
Ray_3<Kernel> r ( Point_3<Kernel> p, Vector_3<Kernel> v);
| introduces a ray r with source p and with a direction given by v.
Ray_3<Kernel> r ( Point_3<Kernel> p, Line_3<Kernel> l);
| introduces a ray r starting at source p with the same direction as l.

### Operations

bool | r.operator== ( h)
|  | Test for equality: two rays are equal, iff they have the same source and the same direction.
bool | r.operator!= ( h)
|  | Test for inequality.
Point_3<Kernel> | r.source () | returns the source of r
Point_3<Kernel> | r.point ( int i) | returns a point on r. point(0) is the source. point(i), with i>0, is different from the source. Precondition: i 0.
Direction_3<Kernel>
| r.direction () | returns the direction of r.
Vector_3<Kernel> | r.to_vector () | returns a vector giving the direction of r.
Line_3<Kernel> | r.supporting_line ()
|  | returns the line supporting r which has the same direction.
Ray_3<Kernel> | r.opposite () | returns the ray with the same source and the opposite direction.
bool | r.is_degenerate () | ray r is degenerate, if the source and the second defining point fall together (that is if the direction is degenerate).
bool | r.has_on ( Point_3<Kernel> p)
|  | A point is on r, iff it is equal to the source of r, or if it is in the interior of r.
Ray_3<Kernel> | r.transform ( Aff_transformation_3<Kernel> t)
|  | returns the ray obtained by applying t on the source and on the direction of r.

### See Also

Kernel::Ray_3

Next: Segment_3<Kernel>

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The CGAL Project . Tue, December 21, 2004 .