The function ch_w_point finds a point in a given set of input points with minimal $$x coordinate.
#include <CGAL/ch_selected_extreme_points_2.h>
 

 
traverses the range [first,beyond). After execution, the value of w is an iterator in the range such that *w $$ _{xy} *it for all iterators it in the range. 
The default traits class Default_traits is the kernel in which the type ForwardIterator::value_type is defined.
CGAL::ch_e_point
CGAL::ch_nswe_point
CGAL::ch_n_point
CGAL::ch_ns_point
CGAL::ch_s_point
CGAL::ch_we_point