General complete elliptic integral

From: Ian Johnston (NOianSPAM.NOgroupsSPAM_at_btinternet.com)
Date: 03/26/05


Date: 26 Mar 2005 08:46:37 GMT

Hello people,

Can anyone point me at a useful algorithm (a C implementation would be
even nicer) for evaluating the general complete elliptic integral?

\int_{\phi = 0}^{\pi/2} \frac{a \cos^2 \phi + b \sin^2 \phi}{(\cos^2
\phi + p \sin^2 \phi) \sqrt{\cos^2 \phi + k_c \sin^2 \phi}} d\phi
 
I found an algorithm in my first edition of Numerical Recipes in C,
but I'm having some difficulties getting it to work usefully, and I
note that it has been removed from the second edition...

Ian

-- 


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