#include <CGAL/Exact_circular_kernel_2.h>
#include <iostream>

typedef CGAL::Exact_circular_kernel_2             Circular_k;

typedef CGAL::Point_2<Circular_k>                 Point_2;
typedef CGAL::Circular_arc_2<Circular_k>          Circular_arc_2;
typedef CGAL::Circular_arc_point_2<Circular_k>    Circular_arc_point_2;

int main()
{
  int n = 0;
  Circular_arc_2 c = Circular_arc_2(Point_2(10,0), Point_2(5,5), Point_2(0, 0));

  for(int i = 0; i <= 10; i++) {
    for(int j = 0; j <= 10; j++) {
      Circular_arc_point_2 cap(Point_2(i, j));
      if(Circular_k().has_on_2_object()(c,cap)) {
        n++;
        std::cout << "(" << i << "," << j << ")" << std::endl;
      }
    }
  }
  std::cout << "There are " << n << " points in the [0,..,10]x[0,..,10] "
            << "grid on the circular" << std::endl
            << " arc defined counterclockwisely by the points (0,0), (5,5), (10,0)"
            << std::endl << "See the points above." << std::endl;
  return 0;
}
