[general]
name = Breather;
comments = Breather surface;
a1_min = -13.2;
a1_max = 13.2;
a1_steps = 100;
a2_min = -37.4; 
a2_max = 37.4;
a2_steps = 100;

[param]
name = a;
title = a;
default = 0.4;
min = 0.1;
max = 1;

[formula]
r = 1 - sqr(a);
q = sqrt(r);
sh = 0.5 * (exp(a * A1) - exp(-a * A1));      // sinh(x) = 1/2 * (e^x - e^-x)
ch = 0.5 * (exp(a * A1) + exp(-a * A1));      // cosh(x) = 1/2 * (e^x + e^-x)
d = a * (sqr(q * ch) + sqr(a * sin(deg(q * A2))));
C2 = cos(deg(A2));
C3 = cos(deg(q * A2));
S2 = sin(deg(A2));
S3 = sin(deg(q * A2));

X = 0.2 * (-A1 + 2 * r * ch * sh / d);
Y = 0.2 * (2 * q * ch * (-(q * C2 * C3) - S2 * S3) / d);
Z = 0.2 * (2 * q * ch * (-(q * S2 * C3) + C2 * S3) / d);


[preset]
name = Shape1;
a = 0.4;
a1_min = -13.2;
a1_max = 13.2;
a1_steps = 100;
a2_min = -37.4; 
a2_max = 37.4;
a2_steps = 100;

[preset]
name = Shape2;
a = 0.6;
a1_min = -8;
a1_max = 8;
a1_steps = 100;
a2_min = -15.55; 
a2_max = 15.55;
a2_steps = 100;