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

CGAL 4.3 - Intersecting Sequences of dD Iso-oriented Boxes

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Box_intersection_d/triangle_self_intersect.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/intersections.h>
#include <CGAL/point_generators_3.h>
#include <CGAL/Bbox_3.h>
#include <CGAL/box_intersection_d.h>
#include <CGAL/function_objects.h>
#include <CGAL/Join_input_iterator.h>
#include <CGAL/algorithm.h>
#include <vector>
typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
typedef Kernel::Point_3 Point_3;
typedef Kernel::Triangle_3 Triangle_3;
typedef std::vector<Triangle_3> Triangles;
typedef Triangles::iterator Iterator;
typedef CGAL::Box_intersection_d::Box_with_handle_d<double,3,Iterator> Box;
Triangles triangles; // global vector of all triangles
// callback function that reports all truly intersecting triangles
void report_inters( const Box& a, const Box& b) {
std::cout << "Box " << (a.handle() - triangles.begin()) << " and "
<< (b.handle() - triangles.begin()) << " intersect";
if ( ! a.handle()->is_degenerate() && ! b.handle()->is_degenerate()
&& CGAL::do_intersect( *(a.handle()), *(b.handle()))) {
std::cout << ", and the triangles intersect also";
}
std::cout << '.' << std::endl;
}
int main() {
// Create 10 random triangles
typedef CGAL::Random_points_in_cube_3<Point_3> Pts;
typedef CGAL::Creator_uniform_3< Point_3, Triangle_3> Creator;
typedef CGAL::Join_input_iterator_3<Pts,Pts,Pts,Creator> Triangle_gen;
Pts points( 1); // in centered cube [-1,1)^3
Triangle_gen triangle_gen( points, points, points);
CGAL::cpp11::copy_n( triangle_gen, 10, std::back_inserter(triangles));
// Create the corresponding vector of bounding boxes
std::vector<Box> boxes;
for ( Iterator i = triangles.begin(); i != triangles.end(); ++i)
boxes.push_back( Box( i->bbox(), i));
// Run the self intersection algorithm with all defaults
CGAL::box_self_intersection_d( boxes.begin(), boxes.end(), report_inters);
return 0;
}