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CGAL 6.0 - dD Spatial Searching
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#include <CGAL/Euclidean_distance.h>
The class Euclidean_distance provides an implementation of the concept OrthogonalDistance, with the Euclidean distance ( \( l_2\) metric).
To optimize distance computations squared distances are used.
| Traits | must be a model of the concept SearchTraits, for example Search_traits_2<Simple_cartesian<double> >. |
OrthogonalDistance OrthogonalDistance CGAL::Weighted_Minkowski_distance<Traits> Types | |
| typedef Traits::Dimension | D |
| Dimension Tag. | |
| typedef Traits::FT | FT |
| Number type. | |
| typedef Traits::Point_d | Point_d |
| Point type. | |
| typedef Point_d | Query_item |
| Query item type. | |
Creation | |
| Euclidean_distance (Traits t=Traits()) | |
| Default constructor. | |
Operations | |
| FT | transformed_distance (Query_item q, Point_d p) const |
Returns the squared Euclidean distance between q and p. | |
| template<typename Coord_iterator > | |
| FT | transformed_distance_from_coordinates (Query_item q, Coord_iterator begin, Coord_iterator end) const |
Returns the transformed distance between q and the point whose Cartesian coordinates are contained in the range [begin, end). | |
| template<typename Coord_iterator > | |
| FT | interruptible_transformed_distance (Query_item q, Coord_iterator begin, Coord_iterator end, FT stop_if_geq_to_this) const |
Returns the transformed distance between q and the point whose Cartesian coordinates are contained in the range [begin, end), or any value \( \geq \) stop_if_geq_to_this if the transformed distance is \( \geq \) stop_if_geq_to_this. | |
| FT | min_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r) const |
Returns the squared Euclidean distance between q and the point on the boundary of r closest to q. | |
| FT | min_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r, vector< FT > &dists) |
Returns the squared Euclidean 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 squared Euclidean distance, where \( d\) denotes the distance between q and the point on the boundary of r farthest to q. | |
| FT | max_distance_to_rectangle (Query_item q, Kd_tree_rectangle< FT, D > r, vector< FT > &dists) |
Returns the squared Euclidean distance, where \( d\) denotes the distance between q and the point on the boundary of r farthest to q. | |
| FT | new_distance (FT dist, FT old_off, FT new_off, int cutting_dimension) const |
Updates the squared dist incrementally and returns the updated squared distance. | |
| FT | transformed_distance (FT d) const |
| Returns \( d^2\). | |
| FT | inverse_of_transformed_distance (FT d) const |
| Returns \( d^{1/2}\). | |
| FT CGAL::Euclidean_distance< Traits >::max_distance_to_rectangle | ( | Query_item | q, |
| Kd_tree_rectangle< FT, D > | r, | ||
| vector< FT > & | dists | ||
| ) |
Returns the squared Euclidean distance, where \( d\) denotes the distance between q and the point on the boundary of r farthest to q.
Stores the distances in each dimension in dists.
| FT CGAL::Euclidean_distance< Traits >::min_distance_to_rectangle | ( | Query_item | q, |
| Kd_tree_rectangle< FT, D > | r, | ||
| vector< FT > & | dists | ||
| ) |
Returns the squared Euclidean distance between q and the point on the boundary of r closest to q.
Stores the distances in each dimension in dists.