Bill Hart wrote:
> Anyhow, I'm now wondering whether MAGMA just uses Toom-3 instead of > Karasuba by the time you get to degree 250 or so. I'll implement a > Toom-3 algorithm once I get my Karasuba implementation sorted out, and > we'll see. Of course I am wrong. NTL runs roughly twice as fast for polynomials of degree 300 as it would if it were using Karatsuba. If MAGMA is five times faster again, then that is overall a factor of 10. No way is Toom-3 going to do that much better for degree 300. Anyhow, I fixed my Karatsuba implementation. It is about 10% faster than NTL, but that might improve slightly. I don't expect it to change much. Presumably Pari uses something else, since it is faster for small degrees. Perhaps it uses Toom-3. Who knows what MAGMA uses. Bill. --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://sage.scipy.org/sage/ and http://modular.math.washington.edu/sage/ -~----------~----~----~----~------~----~------~--~---
