Hi Jori,

> Date: Mon, 17 Feb 2014 14:56:56 +0200 (EET)
> From: Jori Mantysalo <jori.mantys...@uta.fi>
>=20
> On Mon, 17 Feb 2014, Zimmermann Paul wrote:
>=20
> > On my computer, computing gamma(Pi^2) to 10000 bits takes about 1.4s (f=
or the
> > first computation, when Bernoulli numbers are not cached) instead of 6.=
1s with
> > Pari/GP.
>=20
> Out of curiosity: How this compares to, for example, Mathematica?
>=20
> --=20
> Jori M=C3=A4ntysalo

I don't have access to Mathematica, but according to [1], Mathematica 8.0 t=
akes
about 1.7 seconds for the first computation at 3000 decimal digits, which i=
s
comparable to 10000 bits (however this is for complex input, I don't know i=
f
Mathematica is faster for real numbers).

Subsequent computations on my machine take 0.083s each with the development
version of MPFR (at 10000 bits).

Paul

[1] http://fredrikj.net/blog/2013/02/timings-for-the-complex-gamma-function=
-in-arb/

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