CGAL 5.4.4 - 2D Convex Hulls and Extreme Points
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/ch_graham_andrew.h>
#include <vector>
#include <algorithm>
typedef K::Point_2 Point_2;
template <class InputIterator, class OutputIterator, class Traits>
ch_graham_anderson( InputIterator first, InputIterator beyond,
OutputIterator result, const Traits& ch_traits)
using namespace boost;
typedef typename Traits::Point_2 Point_2;
typedef typename Traits::Less_xy_2 Less_xy_2;
typedef typename Traits::Less_rotate_ccw_2 Less_rotate_ccw_2;
if (first == beyond) return result;
std::vector< Point_2 > V (first, beyond);
typename std::vector< Point_2 >::iterator it =
std::min_element(V.begin(), V.end(), Less_xy_2());
const Point_2 p = *it;
std::sort( V.begin(), V.end(), [&p](const Point_2& p1, const Point_2& p2){return Less_rotate_ccw_2()(p, p1, p2);} );
if ( *(V.begin()) != *(V.rbegin()) )
result = CGAL::ch_graham_andrew_scan( V.begin(), V.end(), result, ch_traits);
// add the last point of the sequence that is
// not added by ch_graham_andrew_scan
*result++ = *(V.rbegin());
return result;
int main()
std::istream_iterator< Point_2 > in_start( std::cin );
std::istream_iterator< Point_2 > in_end;
std::ostream_iterator< Point_2 > out( std::cout, "\n" );
ch_graham_anderson(in_start, in_end, out, K());
return 0;