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July 9, 2024 20:04
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Determination of convex set diameter with Miniball.hpp
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#include <cstdlib> | |
#include <iostream> | |
#include <math.h> | |
#include "Miniball.hpp" | |
// from https://people.inf.ethz.ch/gaertner/subdir/software/miniball.html | |
/* | |
$ g++ miniball_int.cpp -O3 -o miniball_int | |
$ | |
*/ | |
int main (int argc, char* argv[]) | |
{ | |
typedef double mytype; | |
int d = 3; | |
int n = 48; | |
typedef mytype mytype3[d]; | |
mytype A[n][3] = {{89,-21,-5},{152,-36,-9},{-16,4,1},{47,-11,-3},{261,-62,-15},{-75,18,5},{177,-42,-11},{-159,38,9},{265,-63,-15},{-71,17,5},{328,-78,-19},{-176,42,11},{244,-58,-15},{-260,62,15},{139,-33,-9},{-197,47,11},{101,-24,-5},{353,-84,-21},{-319,76,19},{-67,16,3},{168,-40,-9},{0,0,1},{357,-85,-21},{-315,75,19},{315,-75,-19},{-357,85,21},{0,0,-1},{-168,40,9},{67,-16,-3},{319,-76,-19},{-353,84,21},{-101,24,5},{197,-47,-11},{-139,33,9},{260,-62,-15},{-244,58,15},{176,-42,-11},{-328,78,19},{71,-17,-5},{-265,63,15},{159,-38,-9},{-177,42,11},{75,-18,-5},{-261,62,15},{-47,11,3},{16,-4,-1},{-152,36,9},{-89,21,5}}; | |
mytype** ap = new mytype*[n]; | |
for (int i=0; i<n; ++i) { | |
mytype* p = new mytype[d]; | |
for (int j=0; j<d; ++j) { | |
p[j] = A[i][j]; | |
} | |
ap[i]=p; | |
} | |
typedef mytype* const* PointIterator; | |
typedef const mytype* CoordIterator; | |
typedef Miniball:: | |
Miniball <Miniball::CoordAccessor<PointIterator, CoordIterator> > | |
MB; | |
MB mb (d, ap, ap+n); | |
std::cout << "Center:\n "; | |
const mytype* center = mb.center(); | |
for(int i=0; i<d; ++i, ++center) | |
std::cout << *center << " "; | |
std::cout << std::endl; | |
std::cout << "diameter:\n "; | |
std::cout << 2*sqrt(mb.squared_radius()) << std::endl; | |
std::cout << "Number of support points:\n "; | |
std::cout << mb.nr_support_points() << std::endl; | |
std::cout << "Relative error:\n "; | |
mytype suboptimality; | |
std::cout << mb.relative_error (suboptimality) << std::endl; | |
std::cout << "Suboptimality:\n "; | |
std::cout << suboptimality << std::endl; | |
std::cout << "Validity:\n "; | |
std::cout << (mb.is_valid() ? "ok" : "possibly invalid") << std::endl; | |
std::cout << "Computation time was "<< mb.get_time() << " seconds\n"; | |
return 0; | |
} |
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https://math.stackexchange.com/a/4943873/1084297