3D Line (CGAL_Line_3)

Definition

#include <CGAL/Line_3.h>

Creation

CGAL_Line_3<R> l ( CGAL_Point_3<R> p, CGAL_Point_3<R> q);
	introduces a line l passing through the points $p$ and $q$. Line l is directed from $p$ to $q$.
CGAL_Line_3<R> l ( CGAL_Point_3<R> p, CGAL_Direction_3<R> d);
	introduces a line l passing through point $p$ with direction $d$.
CGAL_Line_3<R> l ( CGAL_Segment_3<R> s);
	returns the line supporting the segment $s$, oriented from source to target.
CGAL_Line_3<R> l ( CGAL_Ray_3<R> r);
	returns the line supporting the ray $r$, with the same orientation.

Operations

bool	l == h	Test for equality: two lines are equal, iff they have a non empty intersection and the same direction.
bool	l != h	Test for inequality.
CGAL_Point_3<R>	l.projection ( CGAL_Point_3<R> p)
		returns the orthogonal projection of $p$ on l.
CGAL_Point_3<R>	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 if line l is degenerated to a point.
bool	l.has_on ( CGAL_Point_3<R> p)

Miscellaneous

CGAL_Plane_3<R>	l.perpendicular_plane ( CGAL_Point_3<R> p)
		returns the plane perpendicular to l passing through $p$.
CGAL_Line_3<R>	l.opposite ()	returns the line with opposite direction.
CGAL_Direction_3<R>
	l.direction ()	returns the direction of l.
CGAL_Line_3<R>	l.transform ( CGAL_Aff_transformation_3<R> t)
		returns the line obtained by applying $t$ on a point on l and the direction of l.