#19688: Much fast divisors using PARI divisorsu
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   Reporter:  vdelecroix        |            Owner:
       Type:  enhancement       |           Status:  new
   Priority:  major             |        Milestone:  sage-6.10
  Component:  basic arithmetic  |         Keywords:
  Merged in:                    |          Authors:  Vincent Delecroix
  Reviewers:                    |  Report Upstream:  N/A
Work issues:                    |           Branch:
     Commit:                    |     Dependencies:
   Stopgaps:                    |
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 Using PARI we get a huge speedup for integer of small range. With the
 branch applied
 {{{
 sage: %timeit 100.divisors(method='pari')
 1000000 loops, best of 3: 818 ns per loop
 sage: %timeit 100.divisors(method='sage')
 100000 loops, best of 3: 14.1 µs per loop
 }}}

 As it is critical for some application, it is also available included as a
 `cpdef` function named `_pari_divisors_small`.

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Ticket URL: <http://trac.sagemath.org/ticket/19688>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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