CGAL::Euclidean_distance_sphere_point< Traits > Class Template Reference

#include <CGAL/Euclidean_distance_sphere_point.h>

Definition

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.

Parameters

Expects for the template argument a model of the concept SearchTraits, for example Simple_cartesian_d<double>.

Is Model Of:

GeneralDistance

See Also

GeneralDistance

Types
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 > 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 > 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 \( d^{1/2}\).