#include <CGAL/Simple_cartesian.h>
#include <CGAL/Kd_tree.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/algorithm.h>
#include <CGAL/Fuzzy_iso_box.h>

#include <CGAL/Search_traits_2.h>

typedef CGAL::Simple_cartesian<double> K;
typedef K::Point_2 Point_d;
typedef CGAL::Random_points_in_square_2<Point_d> Random_points_iterator;
typedef CGAL::Counting_iterator<Random_points_iterator> N_Random_points_iterator;
typedef CGAL::Search_traits_2<K> Traits;
typedef CGAL::Kd_tree<Traits> Tree;
typedef CGAL::Fuzzy_iso_box<Traits> Fuzzy_iso_box;

int
main() {
  const int N = 1000;

  std::list<Point_d> points;
  points.push_back(Point_d(0,0));

  Tree tree;
  Random_points_iterator rpg;
  for(int i = 0; i < N; i++){
    tree.insert(*rpg++);
  }

  std::list<Point_d> result;

  // define range query
  Point_d p(0.2, 0.2);
  Point_d q(0.7, 0.7);

  // Searching an exact range
  // using default value 0.0 for epsilon fuzziness paramater
  Fuzzy_iso_box exact_range(p,q);
  tree.search( std::back_inserter( result ), exact_range);
  std::cout << "The points in the box [0.2, 0.7]^2 are: " << std::endl;
  std::copy (result.begin(), result.end(), std::ostream_iterator<Point_d>(std::cout,"\n") );
  std::cout << std::endl;

  result.clear();

  // Searching a fuzzy range
  // using value 0.1 for fuzziness paramater
  Fuzzy_iso_box approximate_range(p, q, 0.1);
  tree.search(std::back_inserter( result ), approximate_range);
  std::cout << "The points in the fuzzy box [[0.1, 0.3], [0.6, 0.9]]^2 are: " << std::endl;
  std::copy (result.begin(), result.end(), std::ostream_iterator<Point_d>(std::cout,"\n") );
  std::cout << std::endl;
  return 0;
}
