CGAL 4.7 - dD Spatial Searching: GeneralDistance Concept Reference

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CGAL 4.7 - dD Spatial Searching

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GeneralDistance Concept Reference
Concepts

## 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.