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

CGAL 4.8 - 2D Boolean Operations on Nef Polygons Embedded on the Sphere

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Nef_S2/nef_s2_point_location.cpp
#include <CGAL/Exact_rational.h>
#include <CGAL/Cartesian.h>
#include <CGAL/Nef_polyhedron_S2.h>
#include <CGAL/Nef_S2/create_random_Nef_S2.h>
typedef CGAL::Exact_rational FT;
typedef CGAL::Cartesian<FT> Kernel;
typedef CGAL::Nef_polyhedron_S2<Kernel> Nef_polyhedron_S2;
typedef Nef_polyhedron_S2::SVertex_const_handle SVertex_const_handle;
typedef Nef_polyhedron_S2::SHalfedge_const_handle SHalfedge_const_handle;
typedef Nef_polyhedron_S2::SHalfloop_const_handle SHalfloop_const_handle;
typedef Nef_polyhedron_S2::SFace_const_handle SFace_const_handle;
typedef Nef_polyhedron_S2::Object_handle Object_handle;
typedef Nef_polyhedron_S2::Sphere_point Sphere_point;
int main() {
Nef_polyhedron_S2 S;
CGAL::create_random_Nef_S2(S,5);
SVertex_const_handle sv;
SHalfedge_const_handle se;
SHalfloop_const_handle sl;
SFace_const_handle sf;
Object_handle o = S.locate(Sphere_point(1,0,0));
if(CGAL::assign(sv,o))
std::cout << "Locating svertex" << std::endl;
else if(CGAL::assign(se,o))
std::cout << "Locating shalfedge" << std::endl;
else if(CGAL::assign(sl,o))
std::cout << "Locating shalfloop" << std::endl;
else if(CGAL::assign(sf,o))
std::cout << "Locating sface" << std::endl;
else {
std::cout << "something wrong" << std::endl;
return 1;
}
return 0;
}