CGAL 5.6.1  2D and 3D Linear Geometry Kernel

#include <CGAL/Ray_3.h>
An object r
of the data type Ray_3
is a directed straight ray in the threedimensional Euclidean space \( \E^3\).
It starts in a point called the source of r
and it goes to infinity.
Creation  
Ray_3 (const Point_3< Kernel > &p, const Point_3< Kernel > &q)  
introduces a ray r with source p and passing through point q .  
Ray_3 (const Point_3< Kernel > &p, const Direction_3< Kernel > &d)  
introduces a ray r with source p and with direction d .  
Ray_3 (const Point_3< Kernel > &p, const Vector_3< Kernel > &v)  
introduces a ray r with source p and with a direction given by v .  
Ray_3 (const Point_3< Kernel > &p, const Line_3< Kernel > &l)  
introduces a ray r starting at source p with the same direction as l .  
Operations  
bool  operator== (const Ray_3< Kernel > &h) const 
Test for equality: two rays are equal, iff they have the same source and the same direction.  
bool  operator!= (const Ray_3< Kernel > &h) const 
Test for inequality.  
Point_3< Kernel >  source () const 
returns the source of r  
Point_3< Kernel >  point (const Kernel::FT i) const 
returns a point on r . More...  
Direction_3< Kernel >  direction () const 
returns the direction of r .  
Vector_3< Kernel >  to_vector () const 
returns a vector giving the direction of r .  
Line_3< Kernel >  supporting_line () const 
returns the line supporting r which has the same direction.  
Ray_3< Kernel >  opposite () const 
returns the ray with the same source and the opposite direction.  
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  has_on (const Point_3< 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 .  
Ray_3< Kernel >  transform (const Aff_transformation_3< Kernel > &t) const 
returns the ray obtained by applying t on the source and on the direction of r .  
Point_3<Kernel> CGAL::Ray_3< 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.
i >= 0
.