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/* -*-ePiX-*- */
#include "epix.h"
using namespace ePiX;
P f(double x, double y)
{
pair z = pair(x,y);
pair temp = z*z;
return P(temp.x1(), temp.x2(), x);
}
inline P F(double r, double t)
{ return f(r*Cos(t), r*Sin(t)); }
P g(double t) { return t*P(t,0,1); }
const double MAX=1.5;
domain R(P(0,0), P(1.25,0.5), mesh(6,24), mesh(12,60));
int main()
{
bounding_box(P(-MAX,-MAX),P(MAX,MAX));
unitlength("1in");
picture(2.5,2.5);
offset(1.5,0);
begin();
revolutions(); viewpoint(4,-2,3);
pen(0.15); rgb(0.7,0.7,1);
plot(F, R);
plain(); blue();
plot(F, R.resize2(0.5,1));
black(); pen(0.5);
arrow(P(0,0,0), 2*E_1);
arrow(P(0,0,0), 2*E_2);
arrow(P(0,0,0), 1.5*E_3);
masklabel(2*E_1, P(0,0), "$\\mathrm{Re}\\,z$", r);
label(2*E_2, P(0,0), "$\\mathrm{Im}\\,z$", r);
label(1.5*E_3, P(2,0), "$\\mathrm{Re}\\,\\sqrt{z}$", r);
bold(); red();
plot(g, -1.25, 1.25, 40);
end();
}
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