// Degenerate vertex example code
//
// Author   : Chris H. Rycroft (LBL / UC Berkeley)
// Email    : chr@alum.mit.edu
// Date     : August 30th 2011

#include "voro++.hh"
using namespace voro;

const double pi=3.1415926535897932384626433832795;

// The total number of points to create as degenerate vertices
const int voro_points=100;

// The number of planes that will be cut around each point
const int n=64;
const double step=2*pi/n;

// The angle (in radians) of the cutting planes from horizontal
const double theta=0.04;

// 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,phi;
	voronoicell v;
	int n=0;

	// Initialize the Voronoi cell to be a cube of side length 2, centered on
	// the origin
	v.init(-1,1,-1,1,-1,1);

	// Plane cutting
	while(n<voro_points) {

		// Choose a random point
		x=2*rnd()-1;
		y=2*rnd()-1;
		z=2*rnd()-1;

		// Skip it if it's outside the unit sphere or too close to the
		// origin
		rsq=x*x+y*y+z*z;
		if(rsq<0.01||rsq>1) continue;

		// Rescale the point so that it has modulus 1, and then apply
		// plane cuts around this point
		r=1/sqrt(rsq);x*=r;y*=r;z*=r;
		rsq=sqrt(x*x+y*y);r=z/rsq;
		for(phi=rnd()*step;phi<2*pi;phi+=step)
			v.plane(x*cos(theta)+sin(theta)*(-y*cos(phi)/rsq-x*r*sin(phi)),
				y*cos(theta)+sin(theta)*(x*cos(phi)/rsq-y*r*sin(phi)),
				z*cos(theta)+sin(theta)*rsq*sin(phi),1);
		n++;
	}

	// Output the Voronoi cell to a file in Gnuplot format
	v.draw_gnuplot(0,0,0,"degenerate2.gnu");

	// Optional POV-Ray output
	v.draw_pov(0,0,0,"degenerate2_v.pov");
	v.draw_pov_mesh(0,0,0,"degenerate2_m.pov");
}
