#16374: better two_squares, three_squares, four_squares for small input
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/16374 | a2b31ca5ec86eaed275a854e41cb5fd7a3ce5c95
Dependencies: #16308 | Stopgaps:
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Changes (by vdelecroix):
* status: needs_info => needs_review
Comment:
Hi,
I confirm that there is no difference between "ii = i*i" and "ii -= 2*i +
1". Anyway, I am pretty sure that this is the kind of optimization that
gcc takes care of with the option "-O3". In the new commit there are the
modifications relative to your comment and mine.
New timings
{{{
sage: from sage.rings.arith_pyx import two_squares_pyx, three_squares_pyx,
four_squares_pyx
sage: timeit("for n in xrange(10000,50000): x = four_squares_pyx(n)")
25 loops, best of 3: 11.3 ms per loop
}}}
About the dependencies, I am not sure whether this ticket should go before
or after #16308...
Vincent
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Ticket URL: <http://trac.sagemath.org/ticket/16374#comment:7>
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