#4636: improve polynomial_modn_dense_ntl.Polynomial_dense_mod_p
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Reporter: ncalexan | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-3.2.1
Component: number theory | Resolution:
Keywords: polynomial modn finite field gf |
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Old description:
> sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p is
> very old.
>
> The attached patch removes (but doesn't yet delete -- could you verify it
> can be removed, reviewer?) Polynomial_dense_mod_p and implements
> polynomial_modn_dense_ntl.Polynomial_dense_modp_ntl_zz/ZZ using the newer
> techniques.
>
> It makes basic arithmetic faster. I was finding that arithmetic in
> GF(next_prime(2^50))['x'] was slower than in
> Zmod(next_prime(2^50)+1)['x'], but now I cannot find the comparison! In
> any case, this is much faster for doing gcd/xgcd in GF(p)['x'].
New description:
sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p is
very old.
The attached patch removes (but doesn't yet delete -- could you verify it
can be removed, reviewer?) Polynomial_dense_mod_p and implements
polynomial_modn_dense_ntl.Polynomial_dense_modp_ntl_zz/ZZ using the newer
techniques.
It makes basic arithmetic faster. I was finding that arithmetic in
{{{GF(next_prime(2^50))['x']}}} was slower than in
{{{Zmod(next_prime(2^50)+1)['x']}}}, but now I cannot find the comparison!
In any case, this is much faster for doing gcd/xgcd in GF(p)['x'].
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4636#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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