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

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

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Nef_S2/nef_s2_exploration.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_iterator SFace_const_iterator;
typedef Nef_polyhedron_S2::SFace_cycle_const_iterator
SFace_cycle_const_iterator;
int main() {
Nef_polyhedron_S2 S;
CGAL::create_random_Nef_S2(S,5);
int i=0;
SFace_const_iterator sf;
CGAL_forall_sfaces(sf,S) {
SFace_cycle_const_iterator it;
std::cout << "the sface cycles of sface " << i++;
std::cout << " start with an " << std::endl;
CGAL_forall_sface_cycles_of(it,sf) {
if (it.is_svertex()) {
std::cout << " svertex at position ";
std::cout << SVertex_const_handle(it)->point() << std::endl;
}
else if (it.is_shalfedge()) {
std::cout << " shalfedge from ";
std::cout << SHalfedge_const_handle(it)->source()->point() << " to ";
std::cout << SHalfedge_const_handle(it)->target()->point() << std::endl;
}
else if (it.is_shalfloop()) {
std::cout << " shalfloop lying in the plane ";
std::cout << SHalfloop_const_handle(it)->circle() << std::endl;
}
else
std::cout << "something is wrong" << std::endl;
}
}
return 0;
}