Comment #2 on issue 2239 by [email protected]: Change ratint to give an
answer as hyperbolic functions instead of logs.
http://code.google.com/p/sympy/issues/detail?id=2239
Sure it is possible to combine (1/2)log(x+1)-(1/2)log(x-1)=atanh(x)
so if you have any algebraic substitution and simplification algorithm it
can be done.
Can you give an example that combine logs to atan? (I can't imagine one
without complex number) It will help a lot.
But I propose to modify existing algorithm to return atanh as it is,
without getting logs first. It is not hard to me so I will do it if you
don't mind.
The main profit - we can use simple substitution (not algebraic one) to
convert hyperbolic to log.
Too many programs, to many notations, all I write here can be thought as
general math, not sympy code. But thank you for correction anyway.
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