#13441: refactor gcd
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Reporter: saraedum | Owner: AlexGhitza
Type: task | Status: needs_review
Priority: trivial | Milestone: sage-5.4
Component: basic arithmetic | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Julian Rueth | Merged in:
Dependencies: | Stopgaps:
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Changes (by saraedum):
* status: needs_info => needs_review
Comment:
Without the patch I get:
{{{
sage: x,y=34912364,123324234
sage: timeit('x.gcd(y)')
625 loops, best of 3: 430 ns per loop
sage: x,y=234/234525,4324525/12351
sage: timeit('x.gcd(y)')
625 loops, best of 3: 11.5 µs per loop
sage: R.<T>=ZZ[]
sage: x,y=123*T^2+23424*T+1231,1231451*T^3+65*T^2+352*T+234251
sage: timeit('x.gcd(y)')
625 loops, best of 3: 6.06 µs per loop
}}}
With the patch:
{{{
sage: x,y=34912364,123324234
sage: timeit('x.gcd(y)')
625 loops, best of 3: 1.13 µs per loop
sage: x,y=234/234525,4324525/12351
sage: timeit('x.gcd(y)')
625 loops, best of 3: 14.1 µs per loop
sage: R.<T>=ZZ[]
sage: x,y=123*T^2+23424*T+1231,1231451*T^3+65*T^2+352*T+234251
sage: timeit('x.gcd(y)')
625 loops, best of 3: 6.21 µs per loop
}}}
So there is actually a speed penalty. This seems to be caused by a bug in
{{{coerce_binop}}}:
{{{
sage: x.gcd
<sage.structure.element.NamedBinopMethod object at 0x1bc255f0>
sage: x.gcd
<sage.structure.element.NamedBinopMethod object at 0x1bc27290>
}}}
I'm looking into this.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13441#comment:10>
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