// Sphere example code // // Author : Chris H. Rycroft (Harvard SEAS) // Email : chr@alum.mit.edu // Date : August 30th 2011 #include "voro++.hh" using namespace voro; const double pi=3.1415926535897932384626433832795; int main() { int i=0; double x,y,z,evol,vvol; // Create a container with the geometry given above, and make it // non-periodic in each of the three coordinates. Allocate space for // eight particles within each computational block. container con(-5,5,-5,5,-5,5,6,6,6, false,false,false,8); // Add a cylindrical wall to the container wall_sphere sph(0,0,0,4); con.add_wall(sph); // Place particles in a regular grid within the frustum, for points // which are within the wall boundaries for(z=-4.5;z<5;z+=1) for(y=-4.5;y<5;y+=1) for(x=-4.5;x<5;x+=1) { if (con.point_inside(x,y,z)) { con.put(i,x,y,z);i++; } } // Output the particle positions and Voronoi cells in Gnuplot format con.draw_particles("sphere_p.gnu"); con.draw_cells_gnuplot("sphere_v.gnu"); // Compute the volume of the Voronoi cells and compare it to the // exact frustum volume evol=4/3.0*pi*4*4*4; vvol=con.sum_cell_volumes(); printf("Exact sphere volume : %g\n" "Voronoi cell volume : %g\n" "Difference : %g\n",evol,vvol,vvol-evol); }