[general]
name = Witch Cylinder;
comments = Witch of Agnesi profile. Maria Gaetana Agnesi (1703-1748) (who is not the witch).;
a1_min = -180;
a1_max = 180;
a1_steps = 100;
a2_min = -3; 
a2_max = 3;
a2_steps = 60;

[param]
name = r;
title = Radius;
default = 1;
min = 0.1;
max = 10;

[param]
name = a;
title = Profile;
default = 1;
min = 0.1;
max = 10;


[formula]
T1 = r + 2 * a / (1 + sqr(A2));

X = T1 * cos(A1);
Y = 2 * A2;
Z = -T1 * sin(A1); 

[preset]
name = default;
r = 1;
a = 1;
a1_min = -180;
a1_max = 180;
a1_steps = 100;
a2_min = -3; 
a2_max = 3;
a2_steps = 60;