| 1 |
greg |
1.1 |
{ RCSid $Id$ } |
| 2 |
|
|
{ |
| 3 |
|
|
Calculate superellipsoid surface |
| 4 |
|
|
using parametric formulation taken |
| 5 |
|
|
from Wikipedia |
| 6 |
|
|
|
| 7 |
|
|
12/6/2013 G. Ward |
| 8 |
|
|
|
| 9 |
|
|
Input parameters: |
| 10 |
|
|
A - Radius in X-direction |
| 11 |
|
|
B - Radius in Y-direction |
| 12 |
|
|
C - Radius in Z-direction |
| 13 |
|
|
e - 2/r parameter |
| 14 |
|
|
n - 2/t parameter |
| 15 |
|
|
|
| 16 |
|
|
Example: |
| 17 |
|
|
gensurf mat name 'x(s,t)' 'y(s,t)' 'z(s,t)' 50 50 \ |
| 18 |
|
|
-e 'A:1;B:1.5;C:2;e:.5;n:.7' -f superellipsoid.cal |
| 19 |
|
|
} |
| 20 |
|
|
ap(x,m) : if(x, x^m, if(-x, -(-x^m), 0)); |
| 21 |
|
|
fc(w,m) : ap(cos(w),m); |
| 22 |
|
|
fs(w,m) : ap(sin(w),m); |
| 23 |
|
|
|
| 24 |
|
|
x(s,t) = A * fc(t*PI-PI/2, n) * fc(s*2*PI-PI, e); |
| 25 |
|
|
y(s,t) = B * fc(t*PI-PI/2, n) * fs(s*2*PI-PI, e); |
| 26 |
|
|
z(s,t) = C * fs(t*PI-PI/2, n); |
