#19922: pushout between real and complex interval fields
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent            |    Reviewers:
  Delecroix, Daniel Krenn            |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/dkrenn/19922     |  9e5201d9cce844665151a96ef12c9e8806ec6ca4
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by dkrenn:

Old description:

> We have
> {{{
> sage: ComplexIntervalField(64).an_element() +
> RealIntervalField(128).an_element()
> 1 + 1*I
> sage: parent(_)
> Complex Interval Field with 64 bits of precision
> }}}
> But
> {{{
> sage: ComplexIntervalField(128).an_element() +
> RealIntervalField(64).an_element()
> Traceback (most recent call last):
> ...
> TypeError: unsupported operand parent(s) for '+'
> }}}
> The above should work with parent `ComplexIntervalField(64)`.

New description:

 We have
 {{{
 sage: ComplexIntervalField(64).an_element() +
 RealIntervalField(128).an_element()
 1 + 1*I
 sage: parent(_)
 Complex Interval Field with 64 bits of precision
 }}}
 But
 {{{
 sage: ComplexIntervalField(128).an_element() +
 RealIntervalField(64).an_element()
 Traceback (most recent call last):
 ...
 TypeError: unsupported operand parent(s) for '+'
 }}}
 The above should work with parent `ComplexIntervalField(64)`.

 The fix includes implementing `algebraic_closure` for
 `ComplexIntervalField`.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/19922#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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