#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 | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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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
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/18303>
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