#9882: slow random_element() for integer mod ring
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Reporter: dmharvey | Owner: tbd
Type: defect | Status: new
Priority: major | Milestone:
Component: performance | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by mmezzarobba):
Replying to [comment:3 ppurka]:
> Replying to [comment:2 mmezzarobba]:
> > But I don't understand where the time goes:
>
> All of the time goes in returning an element of the integer mod ring.
Thanks for your reply, and... sorry for being thick, but I still don't
understand! I get:
{{{
sage: %timeit ZZ.random_element(0, R.order()-1)
1000000 loops, best of 3: 650 ns per loop
sage: a = (R.order()-1)
sage: %timeit R(a)
1000000 loops, best of 3: 325 ns per loop
sage: a = (R.order()-1)//2
sage: %timeit R(a)
1000000 loops, best of 3: 324 ns per loop
}}}
so I would hope for a total running time of the order of 1 µs + some
overhead for my function, but I get:
{{{
sage: %timeit R.random_element()
100000 loops, best of 3: 3.45 µs per loop
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/9882#comment:4>
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