Haskell 98 - Standard Prelude - Floating Class

[roconnor@math.berkeley.edu]

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On Mon, 15 Oct 2001, Lennart Augustsson wrote:

> Why not provide defaults for the inverse functions as well?
>
>     asinh x = log (x + sqrt (1+x*x))
>     acosh x = log (x + (x+1) * sqrt ((x-1)/(x+1)))
>     atanh x = log ((x+1) / sqrt (1 - x*x))

That's a good idea too.
Is there a reason for defining acosh as above instead of

acosh x = log(x + sqrt(x*x-1))

- -- 
Russell O'Connor                        roconnor@alumni.uwaterloo.ca
           <http://www.math.berkeley.edu/~roconnor/>
``This is not a time, as it is never a time, to seek vengeance, but a
time to seek the courage to forgive'' -- George W. Bush
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