#18547: Improve polynomial powering in positive characteristic
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Reporter: bruno | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.9
Component: commutative | Resolution:
algebra | Merged in:
Keywords: polynomial, | Reviewers:
powering | Work issues:
Authors: Bruno Grenet | Commit:
Report Upstream: N/A | ba484dfa38afe24d10d2df1927e5a301e8a13dd0
Branch: | Stopgaps:
u/bruno/polynomial_powering_positive_characteristic|
Dependencies: |
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Changes (by jdemeyer):
* status: needs_review => needs_work
Comment:
Replying to [comment:23 bruno]:
> I am happy if you find a good way to test this function!
You have many cases and they should all be tested:
{{{
sage: R1 = PolynomialRing(GF(8, 'a'), 'x')
sage: R2 = PolynomialRing(GF(9, 'b'), 'x', sparse=True)
sage: R3 = PolynomialRing(R2, 'y')
sage: R4 = PolynomialRing(R1, 'y', sparse=True)
sage: for d in range(40): # long time
....: for R in [R1, R2, R3, R4]:
....: a = R.random_element()
....: assert a^d == generic_power(a, d)
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/18547#comment:26>
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