On Oct 23, 2006, at 10:43 AM, Bill Hart wrote:

> At one stage MAGMA were boasting that their integer multiplication was
> a lot faster than GMP, but I suspect GMP has caught them up now, and I
> think it only made a difference to numbers of a million bits or more.
> MAGMA now seem to claim that they use mpn's to multiply large integers,
> which suggests they use the GMP algorithm, not their own home brew as
> they used to.

I also ran some tests at some point to compare GMP and MAGMA's integer  
multiplication, as I started to suspect that was part of the problem.  
Here are the results I came up with, which are unfortunately not going  
to be accurate at the low end:

http://sage.math.washington.edu/home/dmharvey/magma-vs-everyone/ZZ- 
mult/graph.png
http://sage.math.washington.edu/home/dmharvey/magma-vs-everyone/ZZ- 
mult/readme.txt
http://sage.math.washington.edu/home/dmharvey/magma-vs-everyone/ZZ- 
mult/comparison.txt

David


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