#include <CGAL/Euclidean_distance_sphere_point.h>

Definition

template<typename Traits>
class CGAL::Euclidean_distance_sphere_point< Traits >

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.

Template Parameters

Traits must be a model of the concept SearchTraits, for example Simple_cartesian_d<double>.

Is Model Of:: GeneralDistance

See also: 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 \( d^{1/2}\).

Definition

Types

Creation

Operations