<div dir="ltr"><div class="gmail_extra"><div class="gmail_quote">On Sun, Oct 6, 2013 at 9:59 PM, Fons Adriaensen <span dir="ltr"><<a href="mailto:fons@linuxaudio.org" target="_blank">fons@linuxaudio.org</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
#!/usr/bin/python<br>
<br>
from math import *<br>
<br>
<br>
X = [ 0.00, 0.70, 1.30, 2.00, 2.70, 3.25, 4.00, 4.65, 5.15, 5.85,<br>
6.35, 6.95, 7.40, 7.95, 8.30, 8.75, 9.10, 9.55, 10.00, 10.25,<br>
10.55, 10.90, 11.20, 11.53, 11.70, 11.40, 10.98, 10.10, 9.10, 8.00,<br>
6.90, 5.75, 4.45, 3.20, 2.10, 1.01, 0.00, -1.00, -1.98, -2.90,<br>
-3.70, -4.25, -5.00, -5.60, -6.10, -6.60, -7.02, -7.35, -7.80, -8.00,<br>
-8.15, -8.30, -8.40, -8.46, -8.50, -8.50, -8.47, -8.45, -8.27, -8.10,<br>
-7.99, -7.80, -7.55, -7.25, -7.00, -6.67, -6.35, -6.05, -5.65, -5.30,<br>
-4.98, -4.50, -4.05, -3.60, -3.05, -2.60, -2.00, -1.45, -0.80 ]<br>
<br>
N = len(X)<br>
<br>
def analyse(f):<br>
sx = 0<br>
sy = 0<br>
w = f * 2 * pi / N<br>
for i in range(N):<br>
sx += X [i] * sin (i * w)<br>
sy += X [i] * cos (i * w)<br>
m = hypot (sx, sy)<br>
a = atan2(sy, sx) * 180 / pi<br>
return m, a<br>
<br>
<br>
for i in range (1, 11):<br>
m, a = analyse (i)<br>
if i == 1: m1 = m<br>
print ("%3d %10.3f %8.1f" % (i, m / m1, a))<br>
</blockquote><div><br></div><div>Wauw, that's a golden nugget of Python! Cheers, -Harry<br></div><div> </div></div></div></div>