CGAL 5.0 - dD Spatial Searching
GeneralDistance Concept Reference

## Definition

Requirements of a distance class defining a distance between a query item denoting a spatial object and a point. To optimize distance computations transformed distances are used, e.g., for a Euclidean distance the transformed distance is the squared Euclidean distance.

Has Models:

CGAL::Manhattan_distance_iso_box_point<Traits>

CGAL::Euclidean_distance_sphere_point<Traits>

## Types

typedef unspecified_type D
Dimension Tag.

typedef unspecified_type FT
Number type.

typedef unspecified_type Point_d
Point type.

typedef unspecified_type Query_item
Query item type.

## Operations

FT transformed_distance (Query_item q, Point_d r)
Returns the transformed distance between q and r.

FT min_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r) const
Returns the transformed distance between q and the point on the boundary of r closest to q.

FT max_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r) const
Returns the transformed distance between q and the point on the boundary of r furthest to q.

FT transformed_distance (FT d) const
Returns the transformed distance.

FT inverse_of_transformed_distance (FT d) const
Returns the inverse of the transformed distance.