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CGAL 5.1 - dD Spatial Searching
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CGAL 5.1 - 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 CGAL::Weighted_Minkowski_distance<Traits> Types | |
| typedef Traits::Dimension | D |
| Dimension Tag. More... | |
| typedef Traits::FT | FT |
| Number type. More... | |
| typedef Traits::Point_d | Point_d |
| Point type. More... | |
| typedef Point_d | Query_item |
| Query item type. More... | |
Creation | |
| Euclidean_distance (Traits t=Traits()) | |
| Default constructor. More... | |
Operations | |
| FT | transformed_distance (Query_item q, Point_d p) const |
Returns the squared Euclidean distance between q and p. More... | |
| 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). More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| 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. More... | |
| FT | transformed_distance (FT d) const |
| Returns \( d^2\). More... | |
| FT | inverse_of_transformed_distance (FT d) const |
| Returns \( d^{1/2}\). More... | |
| typedef Traits::Dimension CGAL::Euclidean_distance< Traits >::D |
Dimension Tag.
| typedef Traits::FT CGAL::Euclidean_distance< Traits >::FT |
Number type.
| typedef Traits::Point_d CGAL::Euclidean_distance< Traits >::Point_d |
Point type.
| typedef Point_d CGAL::Euclidean_distance< Traits >::Query_item |
Query item type.
| CGAL::Euclidean_distance< Traits >::Euclidean_distance | ( | Traits | t = Traits() | ) |
Default constructor.
| FT CGAL::Euclidean_distance< Traits >::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 CGAL::Euclidean_distance< Traits >::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 | ||
| ) | 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 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 | ||
| ) | const |
Returns the squared Euclidean distance between q and the point on the boundary of r closest to q.
| 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.
| FT CGAL::Euclidean_distance< Traits >::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 CGAL::Euclidean_distance< Traits >::transformed_distance | ( | FT | d | ) | const |
Returns \( d^2\).
| FT CGAL::Euclidean_distance< Traits >::transformed_distance | ( | Query_item | q, |
| Point_d | p | ||
| ) | const |
Returns the squared Euclidean distance between q and p.
| FT CGAL::Euclidean_distance< Traits >::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).
1.8.17