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[Octave-bug-tracker] [bug #60055] regarding to bug #15872: atanh branch


From: Francisco
Subject: [Octave-bug-tracker] [bug #60055] regarding to bug #15872: atanh branch cut strangeness
Date: Mon, 15 Feb 2021 11:21:21 -0500 (EST)
User-agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/88.0.4324.150 Safari/537.36 Edg/88.0.705.68

Follow-up Comment #4, bug #60055 (project octave):

Regarding to precision.

The numerical error is also present in using
0.5*log((1+z)/(1-z)) to define atanh.

By the way in the version I am running tanh(atanh(z)) present the same
numerical errors and zobs - z is not zero.

I think that your version is more recient and the atanh functions is coded
taking into account the case when the imaginary part is zero. But if you
compute with z=1e6 +1.1*i you will see the numerica errors.


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