Ray_3<Kernel>

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CGAL::Ray_3<Kernel>

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.

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.

bool

r.operator== ( h) const

Test for equality: two rays are equal, iff they have the same source and the same direction.

bool

r.operator!= ( h) const

Test for inequality.

Point_3<Kernel>

r.source () const

returns the source of r

Point_3<Kernel>

r.point ( int i) const

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 () const

returns the direction of r.

Vector_3<Kernel>

r.to_vector () const

returns a vector giving the direction of r.

Line_3<Kernel>

r.supporting_line () const

returns the line supporting r which has the same direction.

Ray_3<Kernel>

r.opposite () const

returns the ray with the same source and the opposite direction.

bool

r.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

r.has_on ( 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>

r.transform ( Aff_transformation_3<Kernel> t) const

returns the ray obtained by applying t on the source and on the direction of r.