CGAL 4.7 - 2D Voronoi Diagram Adaptor: Voronoi_diagram_2/vd_2_point_location.cpp

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

CGAL 4.7 - 2D Voronoi Diagram Adaptor

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Voronoi_diagram_2/vd_2_point_location.cpp
// standard includes
#include <iostream>
#include <fstream>
#include <cassert>
// includes for defining the Voronoi diagram adaptor
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
#include <CGAL/Voronoi_diagram_2.h>
#include <CGAL/Delaunay_triangulation_adaptation_traits_2.h>
#include <CGAL/Delaunay_triangulation_adaptation_policies_2.h>
// typedefs for defining the adaptor
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Delaunay_triangulation_2<K> DT;
typedef CGAL::Delaunay_triangulation_adaptation_traits_2<DT> AT;
typedef CGAL::Delaunay_triangulation_caching_degeneracy_removal_policy_2<DT> AP;
typedef CGAL::Voronoi_diagram_2<DT,AT,AP> VD;
// typedef for the result type of the point location
typedef AT::Site_2 Site_2;
typedef AT::Point_2 Point_2;
typedef VD::Locate_result Locate_result;
typedef VD::Vertex_handle Vertex_handle;
typedef VD::Face_handle Face_handle;
typedef VD::Halfedge_handle Halfedge_handle;
typedef VD::Ccb_halfedge_circulator Ccb_halfedge_circulator;
void print_endpoint(Halfedge_handle e, bool is_src) {
std::cout << "\t";
if ( is_src ) {
if ( e->has_source() ) std::cout << e->source()->point() << std::endl;
else std::cout << "point at infinity" << std::endl;
} else {
if ( e->has_target() ) std::cout << e->target()->point() << std::endl;
else std::cout << "point at infinity" << std::endl;
}
}
int main()
{
std::ifstream ifs("data/data1.dt.cin");
assert( ifs );
VD vd;
Site_2 t;
while ( ifs >> t ) { vd.insert(t); }
ifs.close();
assert( vd.is_valid() );
std::ifstream ifq("data/queries1.dt.cin");
assert( ifq );
Point_2 p;
while ( ifq >> p ) {
std::cout << "Query point (" << p.x() << "," << p.y()
<< ") lies on a Voronoi " << std::flush;
Locate_result lr = vd.locate(p);
if ( Vertex_handle* v = boost::get<Vertex_handle>(&lr) ) {
std::cout << "vertex." << std::endl;
std::cout << "The Voronoi vertex is:" << std::endl;
std::cout << "\t" << (*v)->point() << std::endl;
} else if ( Halfedge_handle* e = boost::get<Halfedge_handle>(&lr) ) {
std::cout << "edge." << std::endl;
std::cout << "The source and target vertices "
<< "of the Voronoi edge are:" << std::endl;
print_endpoint(*e, true);
print_endpoint(*e, false);
} else if ( Face_handle* f = boost::get<Face_handle>(&lr) ) {
std::cout << "face." << std::endl;
std::cout << "The vertices of the Voronoi face are"
<< " (in counterclockwise order):" << std::endl;
Ccb_halfedge_circulator ec_start = (*f)->ccb();
Ccb_halfedge_circulator ec = ec_start;
do {
print_endpoint(ec, false);
} while ( ++ec != ec_start );
}
std::cout << std::endl;
}
ifq.close();
return 0;
}