#12496: Improve doctest coverage for integer_ring.pyx
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   Reporter:  slelievre      |          Owner:  slelievre 
       Type:  enhancement    |         Status:  needs_work
   Priority:  major          |      Milestone:  sage-5.0  
  Component:  documentation  |       Keywords:  Cernay2012
Work_issues:                 |       Upstream:  N/A       
   Reviewer:                 |         Author:            
     Merged:                 |   Dependencies:            
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Changes (by hthomas):

  * status:  needs_review => needs_work


Comment:

 Hi!

 I am also pretty new to contributing to Sage, and to reviewing.  So I have
 some comments, but they might not all really need to be dealt with.  I
 guess the things that confused me might confuse other people as well, but
 there's no reason for a non-expert to be looking at some of these things,
 so maybe it's not really a problem.  On the other hand, probably no one
 will get around to touching this documentation again for a long time, so
 it makes sense to try to make it as good as possible now.

 There are some methods which I couldn't figure out what they were supposed
 to do (mathematically speaking): degree, absolute_degree, parameter.

 There are some methods for which it would be useful (I think) to explain
 more clearly what the arguments are.
  * gen: what is n?
  * completion what is prec?  (well, I figured out it was precision)
  * crt_basis: what does the xgcd parameter do?
  * !__getitem!__: what is x?
  * _is_valid_homomorphism_: what are the arguments?
  * extension: what are the arguments?

 There are a few places where I wanted to change the wording:
  * "to a void" (in cdef void): I think this should be "to avoid"
  * "The default distribution is on average 50% `\pm 1`" (in
 random_element):  I'm not sure what this means.  If it means "is either 1
 or -1 50% of the time on average" then it contradicts the discussion
 above, which says each of 1, 0, -1 occurs 20% of the time.  Also, maybe it
 would be good to include some link to where the reader could find out
 about the available distributions.
  * "Return the order in the number field defined by poly generated (as a
 ring) by a root of poly." (in extension) I had trouble making sense of
 this.  I think something like "Given a polynomial as input, return the
 order generated by a root of the polynomial in the number field defined by
 the polynomial." would be clearer.

 _randomize_mpz could do with more detailed documentation (I think).

 _cmp_ could also do with more documentation -- I couldn't figure out what
 it was doing.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12496#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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