/* -*-ePiX-*- */
#include "epix.h"
using namespace ePiX;

int main()
{
  picture(P(-1,-1), P(1,1), "2 x 2in");

  begin();
  arrow_inset(0.25);
  arrow_ratio(1);
  degrees();
  P O(0, 0), z0(1, 0), z1(cis(120)), z2(cis(240));

  double rad1(0.25), rad2(0.66*rad1), dp(2), dt(5);

  bold();
  circle();

  line(P(-0.5), z0);
  line(O, z1);
  line(O, z2);

  arc_arrow(O, rad1, 0, 120-dt);
  arc_arrow(O, rad2, 0, 240-dt);

  plain();
  dashed();
  triangle(z0, z1, z2);

  label(z0, dp*z0, "$1$", r);
  label(z1, dp*z1, "$\\omega$", tl);
  label(z2, dp*z2, "$\\omega^2$", bl);

  label(O, P(0,-dp), "$O$", br);
 
  label(P(-0.375), P(0,dp), "$\\frac{1}{2}$", t);
  label(P(-0.5, 0.25*sqrt(3)), P(-dp,0), "$\\frac{1}{2}\\sqrt{3}$", l);
  label(0.5*z1, dp*J(z1), "$1$", bl);

  label(P(0, ymin()), P(0,-6), "\\textsc{Fig.~2}", b);

  font_size("scriptsize");
  label_angle(-30);
  label(polar(rad1,  60), -4*z2, "$120°$", c);

  label_angle(60);
  label(polar(rad2, 150), P(-4,4), "$240°$", c);

  tikz_format();
  end();
}