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

const P LdY(0, 4);
const P LdX(4, 0);

std::string sfmt(const std::string& msg)
{
#ifdef SANSSERIF
  return "$\\mathsf{"+msg+"}$";
#else
  return "$"+msg+"$";
#endif
}

double ratio(2), rata(pow(ratio, 1.0/3)), ratb(pow(ratio, 2.0/3));

P ptO(0,0), ptA(ratio,0), ptB(0,1), ptD(ptA + ptB);
P pta(ratio + rata, 0), ptb(0, 1 + ratb);

int main()
{
  picture(P(0, 0), P(pta.x1(), ptb.x2()), "3.26 x 2.26in");

  begin();

  rect(ptO, ptD);
  line(ptA, ptB);

  line(ptA, pta);
  line(ptB, ptb);

  line_style("- - - ");
  line(pta, ptb);

  label(ptA, -LdY, sfmt("A"), b);
  label(pta, -LdY, "$a$", b);
  label(ptO, -LdY, sfmt("O"), b);

  label(ptB, -LdX, sfmt("B"), l);
  label(ptb, -LdX, "$b$", l);

  ddot(0.5*(ptA + ptB), -0.5*(LdX + LdY), sfmt("C"), bl);
  label(ptD, 0.5*(LdX + LdY), sfmt("D"), tr);

  tikz_format();
  end();
}