#11684: Obtaining coefficients of polynomials over finite fields is extremely 
slow
---------------------------+------------------------------------------------
   Reporter:  johanbosman  |          Owner:  tbd                       
       Type:  defect       |         Status:  needs_review              
   Priority:  major        |      Milestone:  sage-4.7.2                
  Component:  performance  |       Keywords:  polynomials, finite fields
Work_issues:               |       Upstream:  N/A                       
   Reviewer:               |         Author:  Johan Bosman, Simon King  
     Merged:               |   Dependencies:  #11685                    
---------------------------+------------------------------------------------
Changes (by newvalueoldvalue):

  * status:  needs_info => needs_review
  * author:  Johan Bosman => Johan Bosman, Simon King


Comment:

 At least the tests in devel/sage/doc pass. Hence, I have already posted my
 patch. Here are the timings:
 {{{
 sage: K.<a> = GF(5^3)
 sage: P = PolynomialRing(K, 'x')
 sage: f = P.random_element(100)
 }}}

 #11685 only:
 {{{
 sage: timeit('f.list()')
 5 loops, best of 3: 79.9 ms per loop
 }}}

 #11685 with your patch:
 {{{
 sage: timeit('f.list()')
 125 loops, best of 3: 2.36 ms per loop
 }}}

 All patches:
 {{{
 sage: timeit('f.list()')
 125 loops, best of 3: 2.03 ms per loop
 }}}

 OK, that's only a gain of 14%. But I had one run where it took 2.42 ms
 with one patch and 1.98 ms with both patches (that's why I stated 20% in
 my previous post).

 Anyway, does the second patch make sense? I am currently running doc
 tests, so that probably I can review both #11685 and your patch from here.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11684#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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