// Implementation: Testprogram for 2-dimensional Segment Trees
// Example for the construction of a two dimensional segment tree.
// The data type of the first dimension is double and for the second
// dimension double.
// The elements that should be stored in the tree are pushed into
// a list. Then a two dimensional segment tree is created and a
// window query is performed.

#include <iostream>
#include <utility>
#include <vector>
#include <iterator>
#include <list>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Segment_tree_k.h>
#include <CGAL/Range_segment_tree_traits.h>

typedef CGAL::Simple_cartesian<double> K;
typedef CGAL::Range_segment_tree_set_traits_2<K> Traits;
typedef CGAL::Segment_tree_2<Traits > Segment_tree_2_type;

int main()
{
  typedef Traits::Interval Interval;
  typedef Traits::Key Key;
  // definition of the two-dimensional segment tree
  std::list<Interval> InputList, OutputList, N;

  // insertion of the tree elements into the sequence container
  InputList.push_back(Interval(Key(1,5), Key(2,7)));
  InputList.push_back(Interval(Key(2,7), Key(3,8)));
  InputList.push_back(Interval(Key(6,9), Key(9,13)));
  InputList.push_back(Interval(Key(1,3), Key(3,9)));

  // creation of the segment tree
  std::list<Interval>::iterator first = InputList.begin();
  std::list<Interval>::iterator last = InputList.end();

  Segment_tree_2_type Segment_tree_2(first,last);

  // perform a window query
  Interval a=Interval(Key(3,6), Key(7,12));
  Segment_tree_2.window_query(a,std::back_inserter(OutputList));

  // output of the querey elements on stdout
  std::list<Interval>::iterator j = OutputList.begin();
  std::cerr << "\n window_query (3,6), (7,12)\n";
  while(j!=OutputList.end())
  {
    std::cerr << (*j).first.x() << "-" << (*j).second.x() << " "
         << (*j).first.y() << "-" << (*j).second.y() << std::endl;
    j++;
  }
  std::cerr << "\n enclosing_query (6,10),(7,11) \n";
  Interval b=Interval(Key(6,10),Key(7,11));
  Segment_tree_2.enclosing_query(b,std::back_inserter(N));
  j = N.begin();
  std::cerr << "\n enclosing_query (6,10),(7,11) \n";
  while(j!=N.end())
  {
    std::cerr << (*j).first.x() << "-" << (*j).second.x() << " "
         << (*j).first.y() << "-" << (*j).second.y() << std::endl;
    j++;
  }
  if(Segment_tree_2.segment_tree_2->is_valid())
    std::cerr << "Tree is valid\n";
  else
    std::cerr << "Tree is not valid\n";
  return 0;
}