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CGAL 5.6.1 - dD Spatial Searching
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#include <CGAL/Euclidean_distance_sphere_point.h>
The class Euclidean_distance_sphere_point provides an implementation of the GeneralDistance concept for the Euclidean distance ( \( l_2\) metric) between a \( d\)-dimensional sphere and a point, and the Euclidean distance between a \( d\)-dimensional sphere and a \( d\)-dimensional iso-rectangle defined as a \(k\)- \(d\) tree rectangle.
| Traits | must be a model of the concept SearchTraits, for example Simple_cartesian_d<double>. |
GeneralDistance Types | |
| typedef unspecified_type | D |
| Dimension Tag. | |
| typedef Traits::FT | FT |
| Number type. | |
| typedef Traits::Point_d | Point_d |
| Point type. | |
| typedef Traits::Sphere_d | Sphere_d |
| Query item type. | |
Creation | |
| Euclidean_distance_sphere_point (Traits t=Traits()) | |
| Default constructor. | |
Operations | |
| NT | transformed_distance (Query_item s, Point_d p) const |
Returns the distance between s and p. | |
| NT | min_distance_to_rectangle (Query_item s, Kd_tree_rectangle< FT, D > r) const |
Returns the minimal distance between a point from the sphere s and a point from r. | |
| NT | max_distance_to_rectangle (Query_item s, Kd_tree_rectangle< FT, D > r) const |
Returns the maximal distance between the sphere s and a point from r furthest to s. | |
| NT | transformed_distance (NT d) const |
| Returns \( d^2\). | |
| NT | inverse_of_transformed_distance (NT d) const |
| Returns \( d^{1/2}\). | |