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superellipsoid.cc
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superellipsoid.cc

// Superellipsoid example code
//
// Author : Chris H. Rycroft (LBL / UC Berkeley)
// Email : chr@alum.mit.edu
// Date : August 30th 2011
#include "voro++.hh"
using namespace voro;
// This function returns a random floating point number between 0 and 1
double rnd() {return double(rand())/RAND_MAX;}
int main() {
double x,y,z,rsq,r;
voronoicell v;
// Initialize the Voronoi cell to be a cube of side length 2, centered
// on the origin
v.init(-1,1,-1,1,-1,1);
// Cut the cell by 5000 random planes that are scaled to create a
// superellipsoid
for(int i=0;i<5000;i++) {
x=2*rnd()-1;
y=2*rnd()-1;
z=2*rnd()-1;
rsq=x*x*x*x+y*y*y*y+z*z*z*z;
if(rsq>0.01&&rsq<1) {
r=1/sqrt(sqrt(rsq));
x*=r;y*=r;z*=r;
v.plane(x*x*x,y*y*y,z*z*z,x*x*x*x+y*y*y*y+z*z*z*z);
}
}
// Output the Voronoi cell to a file, in the gnuplot format
v.draw_gnuplot(0,0,0,"superellipsoid.gnu");
// Output the Voronoi cell to a file in POV-Ray formats
v.draw_pov(0,0,0,"superellipsoid_v.pov");
v.draw_pov_mesh(0,0,0,"superellipsoid_m.pov");
}

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