Line_3<Kernel>

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CGAL::Line_3<Kernel>

Definition

An object l of the data type Line_3<Kernel> is a directed straight line in the three-dimensional Euclidean space

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

Kernel::Line_3

Next: Plane_3<Kernel>

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CGAL Open Source Project. Release 3.6.1. 29 June 2010.