[general]
name = Cycloid Cylinder;
comments = Cylinder with epicycloid/hypocycloid profile;
a1_min = -180;
a1_max = 180;
a1_steps = 100;
a2_min = 0; 
a2_max = 1;
a2_steps = 20;

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

[param]
name = a;
title = Frequency;
default = 10;
min = 1;
max = 30;

[param]
name = h;
title = Profile;
default = 1;
min = 0;
max = 3;

[param]
name = s;
title = Hypo < 0 / Epi > 0;
default = 1;
min = -1;
max = 1;


[formula]
S1 = linstep(-0.000001,0,s);
S2 = 1 - S1;
T1 = 0.1 * a + S1 * 0.1 - S2 * 0.1;
T2 = r * (T1 * cos(A1) - (S1 - S2) * (0.1 * h * cos((T1 / 0.1) * A1)));

X = r * T2;
Y = 3 * A2;
Z = -r * (T1 * sin(A1) - 0.1 * h * sin((T1 / 0.1) * A1));

[preset]
name = default;
r = 1;
a = 10;
h = 1;
s = 1;
a1_min = -180;
a1_max = 180;
a1_steps = 100;
a2_min = 0; 
a2_max = 1;
a2_steps = 20;