#16436: is_real method should exist for elements of AA, ZZ, QQ
---------------------------+----------------------------
   Reporter:  slabbe       |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.3
  Component:  algebra      |         Keywords:
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 The function ``is_real`` is useful but it is not practical because it it
 not implemented for every types of numbers in Sage. And I do not want to
 do type checking before being able to use it in my code.

 {{{
 sage: CC(3).is_real()
 True
 sage: RR(3).is_real()
 True
 sage: SR(3).is_real()
 True
 sage: ZZ(3).is_real()
 Traceback (most recent call last):
 ...
 AttributeError: 'sage.rings.integer.Integer' object has no attribute
 'is_real'
 sage: QQ(3).is_real()
 Traceback (most recent call last):
 ...
 AttributeError: 'sage.rings.rational.Rational' object has no attribute
 'is_real'
 sage: AA(3).is_real()
 Traceback (most recent call last)
 ...
 AttributeError: 'AlgebraicReal' object has no attribute 'is_real'
 }}}

 I am sure I forget some other rings...

 We need more of this kind of consistency in Sage. ``is_imaginary`` is
 another example.

--
Ticket URL: <http://trac.sagemath.org/ticket/16436>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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