[general]
name = Cassini Torus;
comments = Torus with Cassinian oval profile. Jean-Dominique Cassini (1625-1712).;
a1_min = 0;
a1_max = 360;
a1_steps = 80;
a2_min = 0; 
a2_max = 360;
a2_steps = 80;

[param]
name = b;
title = Shape;
default = 0.04;
min = 0;
max = 1;

[param]
name = c;
title = Radius;
default = 1.5;
min = 1;
max = 10;


[formula]
T1 = 2 * cos(2*A2) + 2 * sqrt((pow(1+b,4) - 1) + 1 * sqr(cos(2*A2)));
T2 = 2 * c + sqrt(T1 / 2) * cos(A2);

X = 0.5 * T2 * cos(A1);
Y = 0.5 * sqrt(T1 / 2) * sin(A2);
Z = -0.5 * T2 * sin(A1);


[preset]
name = default;
b = 0.04;
c = 1.5;
a1_min = 0;
a1_max = 360;
a1_steps = 80;
a2_min = 0; 
a2_max = 360;
a2_steps = 80;