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Subject: Re: Complex arg-trig functions
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I just found out that the boost libraries implement the complex asin 
function.  I think their implementation is more faithful to the paper by 
Hull et al than my implementation is.  It does seem to have a BSD style 
license.  The only problem with it is that it is written in C++.

http://www.boost.org/doc/libs/1_43_0/boost/math/complex/asin.hpp