Toom-8 testing (mpz level)
Alberto Zanoni
zanoni at volterra.uniroma2.it
Wed Oct 7 12:44:15 CEST 2009
Dear developers,
I implemented a mpz version of Toom-8 algorithm
for multiplication. On my architecture I obtained someway interesting
results. You can find two graphics, for multiplication and squaring, at
http://bodrato.it/papers/zanoni.html#CIVV2009b
(under "Toom-8 way for long integers multiplication" - thanks Marco !)
As I'm waiting for the publication of the proceedings of the SYNASC 2009
conference, where the related paper was presented, currently I cannot put the
paper itself, with all the details, on the web, but actually Marco is working
quite ahead of it, and will surely produce something better at mpn level,
with many new ideas, so I think that the paper is actually already obsolete.
Just to point out that Toom-Cook-k methods with k as high as 8 (may be even
more ?) can be effective and worth implementing.
Alberto
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