#16280: Fix call for FiniteEnumeratedSet's of plain Python objects
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nicolas M. ThiƩry  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/nthiery/fix_call_for_finite_enumeratedset_s_over_plain_python_objects|  
8ac32c2d6854519a96eb1ce261240a0ee8537cb3
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by nthiery):

 * status:  new => needs_review
 * commit:   => 8ac32c2d6854519a96eb1ce261240a0ee8537cb3


Old description:

> *Problem*
>
> Before this ticket, a FiniteEnumeratedSet could not be called on it's
> own elements whenever they were not Element's:
> {{{
> sage: F = FiniteEnumeratedSet(["a", 1])
> sage: F(1)
> 1
> sage: F("a")
> ...
> TypeError: Cannot convert str to sage.structure.element.Element
> }}}
>
> This prevented the use of `F(x)` as generic idiom to convert `x` into
> `F` while checking that it's in `F`.
>
> And indeed:
> {{{
> sage: TestSuite(F).run()
> Failure in _test_an_element:
> ...
> TypeError: Cannot convert str to sage.structure.element.Element
> ------------------------------------------------------------
> The following tests failed: _test_an_element
> }}}
>
> *Analysis*
>
> `Parent.__call__` enforces that `_element_constructor_` return an
> `Element` (more precisely, it calls `_element_constructor_` through a
> `DefaultConvertMap`, and any `Map` requires its results to be
> instances of `Element`).
>
> *Proposed solution*
>
> Since `FiniteEnumeratedSets` is often a facade over plain Python
> objects, this ticket works around this limitation by a custom
> `FiniteEnumeratedSets.__call__` that calls directly
> `_element_constructor_` whenever ``el`` is not an `Element`. Otherwise
> `Parent.__call__` is called as usual.
>
> *Limitation*
>
> This workaround prevents conversions or coercions from facade parents
> over plain Python objects. But it's already much better than before!

New description:

 *Problem*

 Before this ticket, a `FiniteEnumeratedSet` could not be called on its
 own elements whenever they were not `Element`'s:
 {{{
 sage: F = FiniteEnumeratedSet(["a", 1])
 sage: F(1)
 1
 sage: F("a")
 ...
 TypeError: Cannot convert str to sage.structure.element.Element
 }}}

 This prevented the use of `F(x)` as generic idiom to convert `x` into
 `F` while checking that it's in `F`.

 And indeed:
 {{{
 sage: TestSuite(F).run()
 Failure in _test_an_element:
 ...
 TypeError: Cannot convert str to sage.structure.element.Element
 ------------------------------------------------------------
 The following tests failed: _test_an_element
 }}}

 *Analysis*

 `Parent.__call__` enforces that `_element_constructor_` return an
 `Element` (more precisely, it calls `_element_constructor_` through a
 `DefaultConvertMap`, and any `Map` requires its results to be
 instances of `Element`).

 *Proposed solution*

 Since `FiniteEnumeratedSets` is often a facade over plain Python
 objects, this ticket works around this limitation by a custom
 `FiniteEnumeratedSets.__call__` that calls directly
 `_element_constructor_` whenever ``el`` is not an `Element`. Otherwise
 `Parent.__call__` is called as usual.

 *Limitation*

 This workaround prevents conversions or coercions from facade parents
 over plain Python objects. But it's already much better than before!

--

Comment:

 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=8ac32c2d6854519a96eb1ce261240a0ee8537cb3
 8ac32c2]||{{{#16280: Fix call for FiniteEnumeratedSet's of plain Python
 objects}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/16280#comment:4>
Sage <http://www.sagemath.org>
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