[general]
name = Spherical Harmonics;
comments = ;
a1_min = 0;
a1_max = 360;  // theta
a1_steps = 100;
a2_min = 0;
a2_max = 180;  // phi
a2_steps = 100;

[param]
name = p1;
title = sin(p1 * A2)   p1;
default = 1;
min = 1;
max = 10;

[param]
name = p2;
title = sin(A2) ^ p2   p2;
default = 1;
min = 1;
max = 10;

[param]
name = p3;
title = cos(p3 * A2)   p3;
default = 1;
min = 1;
max = 10;

[param]
name = p4;
title = cos(A2) ^ p4   p4;
default = 1;
min = 1;
max = 10;

[param]
name = p5;
title = sin(p5 * A1)   p5;
default = 1;
min = 1;
max = 10;

[param]
name = p6;
title = sin(A1) ^ p6   p6;
default = 1;
min = 1;
max = 10;

[param]
name = p7;
title = cos(p7 * A1)   p7;
default = 1;
min = 1;
max = 10;

[param]
name = p8;
title = cos(A1) ^ p8   p8;
default = 1;
min = 1;
max = 10;


[formula]
st = sin(A1);
ct = cos(A1);
sp = sin(A2);
cp = cos(A2);
r = pow(sin(p1 * A2), p2) + pow(cos(p3 * A2), p4) + pow(sin(p5 * A1), p6) + pow(cos(p7 * A1), p8);

X = r * sp * ct;
Y = r * cp;
Z = r * sp * st;

[preset]
name = Shape1;
p1 = 2;
p2 = 4;
p3 = 2;
p4 = 4;
p5 = 2;
p6 = 4;
p7 = 2;
p8 = 4;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape2;
p1 = 2;
p2 = 4;
p3 = 3;
p4 = 2;
p5 = 2;
p6 = 2;
p7 = 2;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape3;
p1 = 2;
p2 = 4;
p3 = 2;
p4 = 4;
p5 = 1;
p6 = 4;
p7 = 1;
p8 = 4;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape4;
p1 = 1;
p2 = 1;
p3 = 1;
p4 = 1;
p5 = 3;
p6 = 1;
p7 = 3;
p8 = 1;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape5;
p1 = 1;
p2 = 1;
p3 = 1;
p4 = 1;
p5 = 3;
p6 = 1;
p7 = 3;
p8 = 4;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape6;
p1 = 3;
p2 = 1;
p3 = 3;
p4 = 1;
p5 = 3;
p6 = 1;
p7 = 3;
p8 = 1;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape7;
p1 = 2;
p2 = 1;
p3 = 2;
p4 = 1;
p5 = 4;
p6 = 1;
p7 = 4;
p8 = 1;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape8;
p1 = 5;
p2 = 1;
p3 = 1;
p4 = 2;
p5 = 2;
p6 = 2;
p7 = 2;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape9;
p1 = 5;
p2 = 2;
p3 = 1;
p4 = 2;
p5 = 2;
p6 = 2;
p7 = 2;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Shape10;
p1 = 5;
p2 = 2;
p3 = 1;
p4 = 2;
p5 = 5;
p6 = 2;
p7 = 1;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = Sphere preset;
p1 = 1;
p2 = 0;
p3 = 0;
p4 = 0;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example A;
p1 = 1;
p2 = 1;
p3 = 0;
p4 = 0;
p5 = 2;
p6 = 1;
p7 = 2;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example B;
p1 = 2;
p2 = 2;
p3 = 2;
p4 = 1;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example C;
p1 = 1;
p2 = 2;
p3 = 2;
p4 = 2;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example D;
p1 = 1;
p2 = 2;
p3 = 2;
p4 = 1;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example E;
p1 = 1;
p2 = 4;
p3 = 1;
p4 = 2;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example F;
p1 = -2;
p2 = 3;
p3 = -1;
p4 = 4;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example G;
p1 = 3;
p2 = 3;
p3 = 1;
p4 = 4;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example H;
p1 = 3;
p2 = 4;
p3 = 3;
p4 = 4;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example I;
p1 = 1;
p2 = 6;
p3 = 2;
p4 = 6;
p5 = 1;
p6 = 0;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example J;
p1 = 1;
p2 = 6;
p3 = 2;
p4 = 6;
p5 = 2;
p6 = 2;
p7 = 2;
p8 = 3;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example K;
p1 = 1;
p2 = 2;
p3 = 2;
p4 = 1;
p5 = 2;
p6 = 2;
p7 = 0;
p8 = 0;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example L;
p1 = 1;
p2 = 2;
p3 = 2;
p4 = 2;
p5 = 4;
p6 = 2;
p7 = 2;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example M;
p1 = 1;
p2 = 2;
p3 = 2;
p4 = 2;
p5 = 2;
p6 = 2;
p7 = 4;
p8 = 2;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example N;
p1 = 3;
p2 = 4;
p3 = 3;
p4 = 4;
p5 = 2;
p6 = 3;
p7 = 2;
p8 = 6;
a1_steps = 100;
a2_steps = 80;

[preset]
name = example O;
p1 = 3;
p2 = 4;
p3 = 3;
p4 = 4;
p5 = 3;
p6 = 4;
p7 = 2;
p8 = 6;
a1_steps = 100;
a2_steps = 80;