//! \file examples/Arrangement_2/ex_incremental_insertion.cpp
// Using the global incremental insertion functions.

#include <CGAL/Cartesian.h>
#include <CGAL/Quotient.h>
#include <CGAL/Arr_segment_traits_2.h>
#include <CGAL/Arrangement_2.h>
#include <CGAL/Arr_walk_along_line_point_location.h>

#include "arr_print.h"

typedef CGAL::Quotient<int>                           Number_type;
typedef CGAL::Cartesian<Number_type>                  Kernel;
typedef CGAL::Arr_segment_traits_2<Kernel>            Traits_2;
typedef Traits_2::Point_2                             Point_2;
typedef Traits_2::X_monotone_curve_2                  Segment_2;
typedef CGAL::Arrangement_2<Traits_2>                 Arrangement_2;
typedef CGAL::Arr_walk_along_line_point_location<Arrangement_2>   Walk_pl;

int main ()
{
  // Construct the arrangement of five intersecting segments.
  Arrangement_2  arr;
  Walk_pl        pl(arr);

  Segment_2      s1 (Point_2(1, 0), Point_2(2, 4));
  Segment_2      s2 (Point_2(5, 0), Point_2(5, 5));
  Segment_2      s3 (Point_2(1, 0), Point_2(5, 3));
  Segment_2      s4 (Point_2(0, 2), Point_2(6, 0));
  Segment_2      s5 (Point_2(3, 0), Point_2(5, 5));

  insert_non_intersecting_curve (arr, s1, pl);
  insert_non_intersecting_curve (arr, s2, pl);
  insert_x_monotone_curve (arr, s3, pl);
  insert_x_monotone_curve (arr, s4, pl);
  insert_curve (arr, s5, pl);

  // Print the size of the arrangement.
  std::cout << "The arrangement size:" << std::endl
            << "   V = " << arr.number_of_vertices()
            << ",  E = " << arr.number_of_edges()
            << ",  F = " << arr.number_of_faces() << std::endl;

  // Perform a point-location query on the resulting arrangement and print
  // the boundary of the face that contains it.
  Point_2        q (4, 1);
  CGAL::Object   obj = pl.locate (q);

  Arrangement_2::Face_const_handle  f;
  bool           success = CGAL::assign (f, obj);

  CGAL_assertion (success);
  std::cout << "The query point (" << q << ") is located in: ";
  print_face<Arrangement_2> (f);

  return (0);
}