On Tue, 24 Oct 2006 20:21:40 -0500, Bill Hart <[EMAIL PROTECTED]> wrote:
>
> Did you compile GMP with Pieck Gaudries "patch" for AMD 64 systems?
>
> If not, this will probably explain the timing difference.
The system-wide "sage" on sage.math now has the patched version of GMP.
It is also available as
www/sage/packages/standard/gmp-4.2.1.p1.spkg
and will be in the next version of SAGE.
It does seem faster on a few random tests. E.g.,
GMP-4.2.1 no patch:
sage: time n=factorial(2*10^6)
CPU times: user 4.00 s, sys: 0.31 s, total: 4.30 s
GMP-4.2.1.p1 -- patched
sage: time n=factorial(10^6*2)
CPU times: user 3.33 s, sys: 0.31 s, total: 3.65 s
64-bit MAGMA 2.13:
sage: t = magma.cputime()
sage: m = magma("Factorial(10^6*2)")
sage: magma.cputime(t)
4.8600000000000003
Probably MAGMA is using their own algorithm here...
-- William
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