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

CGAL 4.8 - Polygon Mesh Processing

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Polygon_mesh_processing/point_inside_example.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/IO/Polyhedron_iostream.h>
#include <CGAL/boost/graph/graph_traits_Polyhedron_3.h>
#include <CGAL/point_generators_3.h>
#include <CGAL/Side_of_triangle_mesh.h>
#include <vector>
#include <fstream>
#include <limits>
#include <boost/foreach.hpp>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::Point_3 Point;
typedef CGAL::Polyhedron_3<K> Polyhedron;
double max_coordinate(const Polyhedron& poly)
{
double max_coord = (std::numeric_limits<double>::min)();
BOOST_FOREACH(Polyhedron::Vertex_handle v, vertices(poly))
{
Point p = v->point();
max_coord = (std::max)(max_coord, p.x());
max_coord = (std::max)(max_coord, p.y());
max_coord = (std::max)(max_coord, p.z());
}
return max_coord;
}
int main(int argc, char* argv[])
{
const char* filename = (argc > 1) ? argv[1] : "data/eight.off";
std::ifstream input(filename);
Polyhedron poly;
if (!input || !(input >> poly) || poly.empty())
{
std::cerr << "Not a valid off file." << std::endl;
return 1;
}
CGAL::Side_of_triangle_mesh<Polyhedron, K> inside(poly);
double size = max_coordinate(poly);
unsigned int nb_points = 100;
std::vector<Point> points;
points.reserve(nb_points);
CGAL::Random_points_in_cube_3<Point> gen(size);
for (unsigned int i = 0; i < nb_points; ++i)
points.push_back(*gen++);
std::cout << "Test " << nb_points << " random points in cube "
<< "[-" << size << "; " << size <<"]" << std::endl;
int nb_inside = 0;
int nb_boundary = 0;
for (std::size_t i = 0; i < nb_points; ++i)
{
CGAL::Bounded_side res = inside(points[i]);
if (res == CGAL::ON_BOUNDED_SIDE) { ++nb_inside; }
if (res == CGAL::ON_BOUNDARY) { ++nb_boundary; }
}
std::cerr << "Total query size: " << points.size() << std::endl;
std::cerr << " " << nb_inside << " points inside " << std::endl;
std::cerr << " " << nb_boundary << " points on boundary " << std::endl;
std::cerr << " " << points.size() - nb_inside - nb_boundary << " points outside " << std::endl;
return 0;
}