#13642: Modular exponentiation of polynomials
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Reporter: caruso | Owner:
AlexGhitza
Type: defect | Status:
needs_review
Priority: major | Milestone:
sage-5.11
Component: algebra | Resolution:
Keywords: modular exponentiation, polynomials | Work issues:
Report Upstream: N/A | Reviewers: Burcin
Erocal
Authors: caruso | Merged in:
Dependencies: | Stopgaps:
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Comment (by caruso):
I declared right to be an Integer but not modulus to be a Polynomial
because I guess that it could be also an Integer (or even something else).
Here are timings you are asking for:
{{{
sage: k = GF(5)
sage: l = k.extension(x^2 + 2)
sage: R.<x> = l[]
sage: f = R.random_element(5)
sage: h = R.random_element(5)
# Without the patch
sage: timeit("g=pow(f,50,h)")
5 loops, best of 3: 2.43 s per loop
# With the patch
sage: timeit("g=pow(f,50,h)")
5 loops, best of 3: 68.8 ms per loop
sage: timeit("g=pow(f,10000000,h)")
5 loops, best of 3: 276 ms per loop
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13642#comment:5>
Sage <http://www.sagemath.org>
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