#17984: Dedicated RR.__contains__() and CC.__contains__()
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       Reporter:  rws    |        Owner:
           Type:         |       Status:  needs_review
  enhancement            |    Milestone:  sage-6.6
       Priority:  major  |   Resolution:
      Component:  basic  |    Merged in:
  arithmetic             |    Reviewers:
       Keywords:         |  Work issues:
        Authors:  Ralf   |       Commit:
  Stephan                |  544450ea18ed2778953141bab8feced61237556e
Report Upstream:  N/A    |     Stopgaps:
         Branch:         |
  u/rws/17984            |
   Dependencies:         |
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Old description:

> In the catch-all `structure/parent.pyx:Parent.__contains__` we depend on
> a bug to get the right result for, e.g. `sqrt(3) in RR/CC` despite
> `bool(RR/CC(sqrt(3))==sqrt(3))` being `False`(See comment 28 of #12967).
> In order to fix the bug fix (in a separate ticket) dedicated
> `__contains__` methods for both rings are needed.
>
> Moreover, until now Maxima is used for this which is slow and completely
> unnecessary.

New description:

 In the catch-all `structure/parent.pyx:Parent.__contains__` we depend on
 the construction `bool(item==self(item))` to get the right result for,
 e.g. `sqrt(3) in RR/CC` but `bool(RR/CC(sqrt(3))==sqrt(3))` being `False`.
 In order to make it more reliable dedicated `__contains__` methods for
 both rings are needed.

 Moreover, until now Maxima is used for this which is slow and completely
 unnecessary.

--

Comment (by rws):

 Replying to [comment:8 rws]:
 > Replying to [comment:3 jdemeyer]:
 > > Replying to [ticket:17984 rws]:
 > > > In the catch-all `structure/parent.pyx:Parent.__contains__` we
 depend on a bug to get the right result for, e.g. `sqrt(3) in RR/CC`
 > >
 > > Can you clarify this please?
 >
 > See comment 28 of #12967.
 Ah, seems I was chasing ghosts there. Nevertheless the ticket makes sense
 because of the unreliability of the construction `bool(item==self(item))`
 for determining elementship.

--
Ticket URL: <http://trac.sagemath.org/ticket/17984#comment:16>
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