#18303: faster comparisons in AA and QQbar
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.7
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by vdelecroix:
Old description:
> As remarked in #17890 the comparisons of elements in `QQbar` can be much
> faster by implementing `_richcmp_` instead of `__cmp__`. A naive
> implementation already gives a great speedup
>
> old timing
> {{{
> sage: a = AA(125/13)
> sage: b = AA(3/5)
> sage: timeit("a < b", repeat=10, number=50000)
> 50000 loops, best of 10: 15.9 µs per loop
> sage: a = AA(2).sqrt()
> sage: timeit("a < b", repeat=10, number=50000)
> 50000 loops, best of 10: 17.9 µs per loop
> }}}
>
> new timing
> {{{
> sage: a = AA(125/13)
> sage: b = AA(3/5)
> sage: timeit("a < b", repeat=10, number=50000)
> 50000 loops, best of 10: 1.02 µs per loop
> sage: a = AA(2).sqrt()
> sage: timeit("a < b", repeat=10, number=50000)
> 50000 loops, best of 10: 7.6 µs per loop
> }}}
New description:
As remarked in #17890 the comparisons of elements in `QQbar` can be much
faster by implementing `_richcmp_` instead of `__cmp__`. A naive
implementation already gives a great speedup
old timing
{{{
sage: a = AA(125/13)
sage: b = AA(3/5)
sage: timeit("a < b", repeat=10, number=50000)
50000 loops, best of 10: 15.9 µs per loop
sage: a = AA(2).sqrt()
sage: timeit("a < b", repeat=10, number=50000)
50000 loops, best of 10: 17.9 µs per loop
}}}
new timing
{{{
sage: a = AA(125/13)
sage: b = AA(3/5)
sage: timeit("a < b", repeat=10, number=50000)
50000 loops, best of 10: 1.02 µs per loop
sage: a = AA(2).sqrt()
sage: timeit("a < b", repeat=10, number=50000)
50000 loops, best of 10: 7.6 µs per loop
}}}
see also: #18304 (comparisons involving integers and rationals).
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Ticket URL: <http://trac.sagemath.org/ticket/18303#comment:1>
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