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

CGAL 4.3 - 3D Boolean Operations on Nef Polyhedra

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Nef_3/nef_3_construction.cpp
#include <CGAL/Gmpz.h>
#include <CGAL/Extended_homogeneous.h>
#include <CGAL/Nef_polyhedron_3.h>
typedef CGAL::Extended_homogeneous<CGAL::Gmpz> Kernel;
typedef CGAL::Nef_polyhedron_3<Kernel> Nef_polyhedron;
typedef Nef_polyhedron::Plane_3 Plane_3;
int main() {
Nef_polyhedron N0;
Nef_polyhedron N1(Nef_polyhedron::EMPTY);
Nef_polyhedron N2(Nef_polyhedron::COMPLETE);
Nef_polyhedron N3(Plane_3( 1, 2, 5,-1));
Nef_polyhedron N4(Plane_3( 1, 2, 5,-1), Nef_polyhedron::INCLUDED);
Nef_polyhedron N5(Plane_3( 1, 2, 5,-1), Nef_polyhedron::EXCLUDED);
CGAL_assertion(N0 == N1);
CGAL_assertion(N3 == N4);
CGAL_assertion(N0 != N2);
CGAL_assertion(N3 != N5);
CGAL_assertion(N4 >= N5);
CGAL_assertion(N5 <= N4);
CGAL_assertion(N4 > N5);
CGAL_assertion(N5 < N4);
N5 = N5.closure();
CGAL_assertion(N4 >= N5);
CGAL_assertion(N4 <= N5);
return 0;
}