#19568: arb balls should have the precision of the parent
-------------------------------------+-------------------------------------
       Reporter:  jdemeyer           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  interfaces         |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/arb_balls_should_have_the_precision_of_the_parent|  
638f7f581a72056c39d013e4b46cce500176a710
   Dependencies:  #19152             |     Stopgaps:
-------------------------------------+-------------------------------------

Old description:

> The fact that `arb` balls can have a precision different from their
> parent is really confusing. It's different from anything else in Sage and
> leads to strange things like
> {{{
> sage: a = RealBallField(20)(1.3)
> sage: b = RealBallField(53)(1.3)
> sage: a == b
> True
> sage: a+0 == b+0
> False
> }}}

New description:

 The fact that `arb` balls can have a precision different from their parent
 is really confusing. It's different from anything else in Sage and leads
 to strange things like
 {{{
 sage: from sage.rings.real_arb import RealBallField
 sage: sage: from sage.rings.real_arb import RealBallField
 sage: sage: a = RealBallField(20)(1.3)
 sage: sage: b = RealBallField(53)(1.3)
 sage: a.identical(b)
 True
 sage: (a+0).identical(b+0)
 False
 }}}

--

Comment (by jdemeyer):

 Replying to [comment:6 cheuberg]:
 > Replying to [comment:4 jdemeyer]:
 > > There is a good reason, read the ticket description.
 >
 > Equality of balls is rare, it only holds if either the objects are
 identical (`is` is a subset of `==`) or if both balls are exact and equal.
 OK, then it's just my example which is wrong.

--
Ticket URL: <http://trac.sagemath.org/ticket/19568#comment:7>
Sage <http://www.sagemath.org>
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