#13628: refactor xgcd
-------------------------------------+-------------------------------------
       Reporter:  saraedum           |        Owner:  AlexGhitza
           Type:  task               |       Status:  needs_review
       Priority:  trivial            |    Milestone:  sage-6.2
      Component:  basic arithmetic   |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Julian Rueth       |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/tscrim/ticket/13628              |  2e26b217df37fd113cbdde00a090d4601f508786
   Dependencies:  #13441, #13438     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by niles):

 Thanks for the fixes.  Checking the documentation, I found a couple of
 problems in `sage.rings.Integer`:

 * There is a typo "NOET" in the docstring for `xgcd`
 * The MATH blocks for the Bezout identity in `xgcd` and `_xgcd` each have
 an extra `\rm`: The syntax `\mbox{\rm self}` renders as "\rm self".
 Probably the block can just be replaced with a backtick-quoted line, since
 that's what's used in other xgcd docsstrings:
 {{{
 ``g = s * self + t * n``
 }}}
 * `\rm self` occurs in another line of `_xgcd` docstring, but since this
 is an underscore method I don't know how to check the built docstring.
 Maybe remove it since the other `\rm`'s caused trouble, but this is a
 minor point since no regular user will view the built documentation for
 `_xgcd`.

 Everything else looks fine, so I can give positive review to the reviewer
 patch when these (admittedly annoying) details are fixed.

--
Ticket URL: <http://trac.sagemath.org/ticket/13628#comment:17>
Sage <http://www.sagemath.org>
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