[Cfp-interest 3082] Re: csinh(x + i y) - G.6.3.5 - 5th bullet point of special cases
Damian McGuckin
damianm at esi.com.au
Sat Apr 6 22:53:03 PDT 2024
The domain for
csinh(x + i INF)
is written to exploit the fact that the function is odd. It says
positive finite x
It could have ignored the fact that the function is odd and said
finite non-zero
The fact that the function is odd is ignored for the domain for
csinh(x + i NaN)
and
ctanh(x + i INF)
and
ctanh(x + i NAN)
which return the same result, NaN + i NaN
They ignore the fact that the function is odd and say
finite non-zero x
Should things be consistent?
I think we should exploit the fact that the function is odd but I am easy
either way. But I think consistency should be pursued. I have not gone
through all thororoughly but it seems to ignore that fact more often
than it exploits it.
Either way, these four cases jumped out at me.
Not that the ordering of the first six cases for ccosh() and csinh() agree
but they are then inconsistent with the 4th and 5th points of ctanh().
Do you agree that they need to be swapped?
I have a summary almost done but the above inconsistencies need to be
addressed.
Thanks - Damian
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