#20494: Poset is_chain_of_poset(): error checking and saturated-keyword
-------------------------------------+-------------------------------------
       Reporter:  jmantysalo         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.3
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/saturated_chain       |  efe83f037d5ebbaec63549945c8b416df5d30326
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * reviewer:   => Travis Scrimshaw
 * milestone:  sage-7.2 => sage-7.3


Comment:

 Two things:

 {{{#!diff
 -        - ``saturated`` -- a Boolean. If ``True``, then return ``True``
 -          only if `elms` is a saturated chain. A chain `C` is saturated
 -          when `a < b < c` and `a, c \in C` implies `b \in C`.
 +        - ``saturated`` -- boolean; if ``True``, then return ``True``
 +          only if `elms` is a saturated chain.
 }}}
 and put
 {{{
 A chain `C` is saturated when `a < b < c` and `a, c \in C` implies `b \in
 C`.
 }}}
 in with the body of the docstring.

 The other thing is I would also have the code be this like this:
 {{{#!python
 # _element_to_vertex can be assumed to be a linear extension
 # of the poset according to the documentation of class
 # HasseDiagram.
 H = self._hasse_diagram

 if ordered:
     elms = [self._element_to_vertex(e) for e in elms]
 else:
     elms = sorted(set([self._element_to_vertex(e) for e in elms]))

 if saturated:
     return all(H.covers(a, b) for a, b in zip(elms, elms[1:]))
 else:
     return all(H.is_lequal(a, b) for a, b in zip(elms, elms[1:]))
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/20494#comment:5>
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