\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - dD Spatial Searching

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Spatial_searching/fuzzy_range_query.cpp
#include <CGAL/Epick_d.h>
#include <CGAL/point_generators_d.h>
#include <CGAL/Kd_tree.h>
#include <CGAL/Fuzzy_sphere.h>
#include <CGAL/Fuzzy_iso_box.h>
#include <CGAL/Search_traits_d.h>
const int D = 4;
typedef CGAL::Epick_d<CGAL::Dimension_tag<D> > K;
typedef K::Point_d Point_d;
typedef CGAL::Search_traits_d<K,CGAL::Dimension_tag<D> > Traits;
typedef CGAL::Random_points_in_cube_d<Point_d> Random_points_iterator;
typedef CGAL::Counting_iterator<Random_points_iterator> N_Random_points_iterator;
typedef CGAL::Kd_tree<Traits> Tree;
typedef CGAL::Fuzzy_sphere<Traits> Fuzzy_sphere;
typedef CGAL::Fuzzy_iso_box<Traits> Fuzzy_iso_box;
int main() {
const int N = 1000;
// generator for random data points in the square ( (-1000,-1000), (1000,1000) )
Random_points_iterator rpit(4, 1000.0);
// Insert N points in the tree
Tree tree(N_Random_points_iterator(rpit,0),
N_Random_points_iterator(rpit,N));
// define range query objects
double pcoord[D] = { 300, 300, 300, 300 };
double qcoord[D] = { 900.0, 900.0, 900.0, 900.0 };
Point_d p(D, pcoord+0, pcoord+D);
Point_d q(D, qcoord+0, qcoord+D);
Fuzzy_sphere fs(p, 700.0, 100.0);
Fuzzy_iso_box fib(p, q, 100.0);
std::cout << "points approximately in fuzzy spherical range query" << std::endl;
std::cout << "with center (300, 300, 300, 300)" << std::endl;
std::cout << "and fuzzy radius [600, 800] are:" << std::endl;
tree.search(std::ostream_iterator<Point_d>(std::cout, "\n"), fs);
std::cout << "points approximately in fuzzy rectangular range query ";
std::cout << "[[200, 400], [800,1000]]^4 are:" << std::endl;
tree.search(std::ostream_iterator<Point_d>(std::cout, "\n"), fib);
return 0;
}