Definition
An instance r of the data type d3_rat_ray is a directed straight ray defined by two points with rational coordinates in three-dimensional space.
#include < LEDA/d3 _rat _ray.h >
Creation
| d3_rat_ray | r(d3_rat_point p1, d3_rat_point p2) | |
| introduces a variable r of type d3_rat_ray. r is initialized to the ray starting at point p1 and going through p2. | ||
| d3_rat_ray | r(d3_rat_segment s) | introduces a variable r of type d3_rat_ray. r is initialized to ray(s.source(),s.target()) . |
Operations
| d3_rat_point | r.source() | returns the source of r. |
| d3_rat_point | r.point1() | returns the source of r. |
| d3_rat_point | r.point2() | returns a point on r different from the source. |
| d3_rat_segment | r.seg() | returns a segment on r. |
| bool | r.contains(d3_rat_point p) | |
| returns true if p lies on r. | ||
| bool | r.contains(d3_rat_segment s) | |
| returns true if s lies on r. | ||
| bool | r.intersection(d3_rat_segment s, d3_rat_point& inter) | |
| if s and r intersect in a single point, true is returned and the point of intersection is assigned to inter. Otherwise false is returned. | ||
| bool | r.intersection(d3_rat_ray r, d3_rat_point& inter) | |
| if r and r intersect in a single point, true is returned and the point of intersection is assigned to inter. Otherwise false is returned. | ||
| bool | r.project_xy(rat_ray& m) | if the projection of r into the xy plane is not a point, the function returns true and assignes the projection to m. Otherwise false is returned. |
| bool | r.project_xz(rat_ray& m) | if the projection of r into the xz plane is not a point, the function returns true and assignes the projection to m. Otherwise false is returned. |
| bool | r.project_yz(rat_ray& m) | if the projection of r into the yz plane is not a point, the function returns true and assignes the projection to m. Otherwise false is returned. |
| bool | r.project(d3_rat_point p, d3_rat_point q, d3_rat_point v, d3_rat_ray& m) | |
| if the projection of r into the plane through (p,q,v) is not a point, the function returns true and assignes the projection to m. Otherwise false is returned. | ||
| d3_rat_ray | r.reverse() | returns a rat_ray starting at r.source() with direction -r.to_vector() . |
| d3_rat_ray | r.translate(rat_vector v) | returns r translated by vector v. Precond. : v.dim() = 3 . |
| d3_rat_ray | r.translate(rational dx, rational dy, rational dz) | |
| returns r translated by vector (dx,dy,dz). | ||
| d3_rat_ray | r + rat_vector v | returns r translated by vector v. |
| d3_rat_ray | r - rat_vector v | returns r translated by vector - v. |
| d3_rat_ray | r.reflect(d3_rat_point p, d3_rat_point q, d3_rat_point v) | |
| returns r reflected across the plane through (p,q,v). | ||
| d3_rat_ray | r.reflect(d3_rat_point p) | returns r reflected across point p. |
| rat_vector | r.to_vector() | returns point2()-point1(). |