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/* -*-ePiX-*- */
#include "epix.h"
using namespace ePiX;
P f(double x, double y)
{
pair z(x,y);
pair temp(z*z);
return P(temp.x1(), temp.x2(), x);
}
P F(double r, double t)
{
return f(r*Cos(t), r*Sin(t));
}
P g(double t)
{
return t*P(t,0,1);
}
domain R(P(0,0), P(1.25,0.5), mesh(6,24), mesh(12,60));
int main()
{
picture(P(-1.5, -1.5), P(1.5, 1.5), "2.5x2.5in");
begin();
revolutions();
camera.at(P(4,-2,3));
pen(Blue(1.7));
plot(F, R);
pen(Blue());
plot(F, R.resize2(0.5,1));
pen(Black());
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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