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

CGAL 4.8 - 2D Range and Neighbor Search

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Point_set_2/range_search.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Point_set_2.h>
#include <list>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Point_set_2<K>::Vertex_handle Vertex_handle;
typedef K::Point_2 Point_2;
int main()
{
CGAL::Point_set_2<K> PSet;
std::list<Point_2> Lr;
Point_2 p1(12,14);
Point_2 p2(-12,14);
Point_2 p3(2,11);
Point_2 p4(5,6);
Point_2 p5(6.7,3.8);
Point_2 p6(11,20);
Point_2 p7(-5,6);
Point_2 p8(12,0);
Point_2 p9(4,31);
Point_2 p10(-10,-10);
Lr.push_back(p1); Lr.push_back(p2); Lr.push_back(p3);
Lr.push_back(p4); Lr.push_back(p5); Lr.push_back(p6);
Lr.push_back(p7); Lr.push_back(p8); Lr.push_back(p9);
Lr.push_back(p10);
PSet.insert(Lr.begin(),Lr.end());
std::cout << "circular range search !\n";
CGAL::Circle_2<K> rc(p5,p6);
std::list<Vertex_handle> LV;
PSet.range_search(rc, std::back_inserter(LV));
std::list<Vertex_handle>::const_iterator it;
for (it=LV.begin();it != LV.end(); it++)
std::cout << (*it)->point() << "\n";
std::cout << "triangular range search !\n";
LV.clear();
PSet.range_search(p1,p2,p3, std::back_inserter(LV));
for (it=LV.begin();it != LV.end(); it++)
std::cout << (*it)->point() << "\n";
LV.clear();
std::cout << "isorectangular range search !\n";
Point_2 pt1=p10;
Point_2 pt3=p3;
Point_2 pt2 = Point_2(pt3.x(),pt1.y());
Point_2 pt4 = Point_2(pt1.x(),pt3.y());
PSet.range_search(pt1,pt2,pt3,pt4, std::back_inserter(LV));
for (it=LV.begin();it != LV.end(); it++)
std::cout << (*it)->point() << "\n";
return 0;
}