#10255: improve karatsuba multiplication of univariate polynomials
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Reporter: lftabera | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.6.1
Component: basic arithmetic | Keywords: karatsuba, multiplication,
polynomial
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by lftabera):
Same example with my patch. Pure karatsuba:
{{{
sage: K=QQ[I][x]
sage: f=K.random_element(1500)
sage: g=K.random_element(1500)
sage: %time _ = f._mul_karatsuba(g)
CPU times: user 1.53 s, sys: 0.01 s, total: 1.54 s
Wall time: 1.73 s
}}}
TODO:
-Take a more careful look to the correctness of code.
-Check that the changes do not introduce performance penalties on a wider
set of rings, degrees and size of polynomials.
-Introduce a user-definable threshold (with a sensible default for most
common rings) for which karatsuba falls back to classic multiplication.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10255#comment:1>
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