CGAL::Line_3<Kernel>

Definition

³

Creation

Line_3<Kernel> l ( Point_3<Kernel> p, Point_3<Kernel> q);
	introduces a line l passing through the points $$p and $$q. Line l is directed from $$p to $$q.
Line_3<Kernel> l ( Point_3<Kernel> p, Direction_3<Kernel> d);
	introduces a line l passing through point $$p with direction $$d.
Line_3<Kernel> l ( Point_3<Kernel> p, Vector_3<Kernel> v);
	introduces a line l passing through point $$p and oriented by $$v.
Line_3<Kernel> l ( Segment_3<Kernel> s);
	returns the line supporting the segment $$s, oriented from source to target.
Line_3<Kernel> l ( Ray_3<Kernel> r);
	returns the line supporting the ray $$r, with the same orientation.

Operations

bool	l.operator== ( h)
		Test for equality: two lines are equal, iff they have a non empty intersection and the same direction.
bool	l.operator!= ( h)
		Test for inequality.
Point_3<Kernel>	l.projection ( Point_3<Kernel> p)
		returns the orthogonal projection of $$p on l.
Point_3<Kernel>	l.point ( int i)	returns an arbitrary point on l. It holds point(i) = point(j), iff i=j.

Predicates

bool	l.is_degenerate ()	returns true iff line l is degenerated to a point.
bool	l.has_on ( Point_3<Kernel> p)
		returns true iff p lies on l.

Miscellaneous

Plane_3<Kernel>	l.perpendicular_plane ( Point_3<Kernel> p)
		returns the plane perpendicular to l passing through $$p.
Line_3<Kernel>	l.opposite ()	returns the line with opposite direction.
Vector_3<Kernel>	l.to_vector ()	returns a vector having the same direction as l.
Direction_3<Kernel>
	l.direction ()	returns the direction of l.
Line_3<Kernel>	l.transform ( Aff_transformation_3<Kernel> t)
		returns the line obtained by applying $$t on a point on l and the direction of l.

See Also