|
CGAL 6.0 - 2D and 3D Linear Geometry Kernel
|
#include <CGAL/Line_3.h>
An object l of the data type Line_3 is a directed straight line in the three-dimensional Euclidean space \( \E^3\).
Kernel::Line_3 Creation | |
| Line_3 (const Point_3< Kernel > &p, const Point_3< Kernel > &q) | |
introduces a line l passing through the points p and q. | |
| Line_3 (const Point_3< Kernel > &p, const Direction_3< Kernel > &d) | |
introduces a line l passing through point p with direction d. | |
| Line_3 (const Point_3< Kernel > &p, const Vector_3< Kernel > &v) | |
introduces a line l passing through point p and oriented by v. | |
| Line_3 (const Segment_3< Kernel > &s) | |
returns the line supporting the segment s, oriented from source to target. | |
| Line_3 (const Ray_3< Kernel > &r) | |
returns the line supporting the ray r, with the same orientation. | |
Operations | |
| bool | operator== (const Line_3< Kernel > &h) const |
| Test for equality: two lines are equal, iff they have a non empty intersection and the same direction. | |
| bool | operator!= (const Line_3< Kernel > &h) const |
| Test for inequality. | |
| Point_3< Kernel > | projection (const Point_3< Kernel > &p) const |
returns the orthogonal projection of p on l. | |
| Point_3< Kernel > | point (const Kernel::FT i) const |
returns an arbitrary point on l. | |
Predicates | |
| bool | is_degenerate () const |
returns true iff line l is degenerated to a point. | |
| bool | has_on (const Point_3< Kernel > &p) const |
returns true iff p lies on l. | |
Miscellaneous | |
| Plane_3< Kernel > | perpendicular_plane (const Point_3< Kernel > &p) const |
returns the plane perpendicular to l passing through p. | |
| Line_3< Kernel > | opposite () const |
| returns the line with opposite direction. | |
| Vector_3< Kernel > | to_vector () const |
returns a vector having the same direction as l. | |
| Direction_3< Kernel > | direction () const |
returns the direction of l. | |
| Line_3< Kernel > | transform (const Aff_transformation_3< Kernel > &t) const |
returns the line obtained by applying t on a point on l and the direction of l. | |
| CGAL::Line_3< Kernel >::Line_3 | ( | const Point_3< Kernel > & | p, |
| const Point_3< Kernel > & | q | ||
| ) |
introduces a line l passing through the points p and q.
Line l is directed from p to q.
| CGAL::Line_3< Kernel >::Line_3 | ( | const Point_3< Kernel > & | p, |
| const Direction_3< Kernel > & | d | ||
| ) |
introduces a line l passing through point p with direction d.
Exact_predicates_inexact_constructions_kernel.| CGAL::Line_3< Kernel >::Line_3 | ( | const Point_3< Kernel > & | p, |
| const Vector_3< Kernel > & | v | ||
| ) |
introduces a line l passing through point p and oriented by v.
Exact_predicates_inexact_constructions_kernel.| Direction_3< Kernel > CGAL::Line_3< Kernel >::direction | ( | ) | const |
returns the direction of l.
Exact_predicates_inexact_constructions_kernel.| Line_3< Kernel > CGAL::Line_3< Kernel >::opposite | ( | ) | const |
returns the line with opposite direction.
Exact_predicates_inexact_constructions_kernel.| Point_3< Kernel > CGAL::Line_3< Kernel >::point | ( | const Kernel::FT | i | ) | const |
returns an arbitrary point on l.
It holds point(i) = point(j), iff i=j.
| Vector_3< Kernel > CGAL::Line_3< Kernel >::to_vector | ( | ) | const |
returns a vector having the same direction as l.
Exact_predicates_inexact_constructions_kernel.