\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - 2D Arrangements

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Arrangement_on_surface_2/batched_point_location.cpp
// Answering a batched point-location query.
#include <CGAL/Cartesian.h>
#include <CGAL/MP_Float.h>
#include <CGAL/Arr_segment_traits_2.h>
#include <CGAL/Arrangement_2.h>
#include <CGAL/Arr_batched_point_location.h>
#include <list>
#include "point_location_utils.h"
typedef CGAL::MP_Float 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 CGAL::Arrangement_2<Traits_2> Arrangement_2;
typedef CGAL::Arr_point_location_result<Arrangement_2> Point_location_result;
typedef std::pair<Point_2, Point_location_result::Type> Query_result;
typedef Arrangement_2::Vertex_const_handle Vertex_const_handle;
typedef Arrangement_2::Halfedge_const_handle Halfedge_const_handle;
typedef Arrangement_2::Face_const_handle Face_const_handle;
int main ()
{
// Construct the arrangement.
Arrangement_2 arr;
construct_segments_arr(arr);
// Perform a batched point-location query.
std::list<Point_2> points;
points.push_back(Point_2(1, 4));
points.push_back(Point_2(4, 3));
points.push_back(Point_2(6, 3));
points.push_back(Point_2(3, 2));
points.push_back(Point_2(5, 2));
points.push_back(Point_2(1, 0));
std::list<Query_result> results;
locate(arr, points.begin(), points.end(), std::back_inserter(results));
// Print the results.
std::list<Query_result>::const_iterator it;
for (it = results.begin(); it != results.end(); ++it) {
std::cout << "The point (" << it->first << ") is located ";
if (const Face_const_handle* f = boost::get<Face_const_handle>(&(it->second))) // inside a face
std::cout << "inside "
<< (((*f)->is_unbounded()) ? "the unbounded" : "a bounded")
<< " face." << std::endl;
else if (const Halfedge_const_handle* e = boost::get<Halfedge_const_handle>(&(it->second))) // on an edge
std::cout << "on an edge: " << (*e)->curve() << std::endl;
else if (const Vertex_const_handle* v = boost::get<Vertex_const_handle>(&(it->second))) // on a vertex
std::cout << "on "
<< (((*v)->is_isolated()) ? "an isolated" : "a")
<< " vertex: " << (*v)->point() << std::endl;
}
return 0;
}