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

CGAL 4.8 - Bounding Volumes

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Min_sphere_of_spheres_d/benchmark.cpp
#include <iostream>
#include <ctime>
#define CGAL_JUST_MINIBALL
#include <CGAL/Min_sphere_of_spheres_d.h>
class Ball {
private: // representation:
double c[3]; // center in Eucliden coordinates
double r; // radius
public: // constructor:
Ball() {}
template<typename InputIterator>
Ball(InputIterator from,double r) : r(r) {
c[0] = *from;
c[1] = *++from;
c[2] = *++from;
}
public: // accessors:
double radius() const { return r; }
public: // iterator to iterate over the 3 coordinates:
typedef const double *Coord_iterator;
Coord_iterator begin_center() const { return c; }
};
struct Ball_traits {
typedef Ball Sphere;
static const int D=3;
typedef double FT;
typedef CGAL::Default_algorithm Algorithm;
typedef CGAL::Tag_false Use_square_roots;
typedef Sphere::Coord_iterator Cartesian_const_iterator;
static Cartesian_const_iterator
center_cartesian_begin(const Ball& b) {
return b.begin_center();
}
static double radius(const Ball& b) {
return b.radius();
}
};
double uniform() { // a (platform independent) random number generator
static int lastNo = 230575L;
const int a = 16807L, m = 2147483647L, q = 127773L, r = 2836L;
int gamma = a * (lastNo % q) - r * (lastNo / q);
if (gamma > 0)
lastNo = gamma;
else
lastNo = gamma + m;
return static_cast<double>(lastNo)/m;
}
int main(int,char **) {
typedef CGAL::Min_sphere_of_spheres_d<Ball_traits> Minsphere;
using namespace std;
// generate a million random spheres:
const int N = 1000000;
vector<Ball> S;
for (int i=0; i<N; ++i) {
double a[3] = { uniform(), uniform(), uniform() };
S.push_back(Ball(a,uniform()));
}
// remember current time:
clock_t time = clock();
// check in the balls:
Minsphere mb(S.begin(),S.end());
// measure time:
mb.is_empty();
time = clock() - time;
// output running time:
cout << "----------------------------------------------------" << endl
<< "Benchmark: " << static_cast<double>(time)/CLOCKS_PER_SEC
<< "s (in units of " << 1.0/CLOCKS_PER_SEC << "s)." << endl
<< "----------------------------------------------------" << endl
<< endl;
// output the radius:
cout << "Done. (Radius: " << mb.radius() << ')' << endl;
}