#20731: shortcut coercion for Integer-Rational operations
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.3
      Component:  coercion           |   Resolution:
       Keywords:  days74             |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:  Jeroen Demeyer,
                                     |  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/20731                 |  1a93a12c39522dbe60b958757e2e3922aa9c23ed
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * reviewer:   => Jeroen Demeyer, Travis Scrimshaw


Comment:

 Ah, I see it now. I guess the only difference is checking `isinstance` for
 `Integer` is longer than that of `Rational` because of a shorter MRO:
 {{{
 sage: p = 2
 sage: p.__class__.__mro__
 (<type 'sage.rings.integer.Integer'>,
  <type 'sage.structure.element.EuclideanDomainElement'>,
  <type 'sage.structure.element.PrincipalIdealDomainElement'>,
  <type 'sage.structure.element.DedekindDomainElement'>,
  <type 'sage.structure.element.IntegralDomainElement'>,
  <type 'sage.structure.element.CommutativeRingElement'>,
  <type 'sage.structure.element.RingElement'>,
  <type 'sage.structure.element.ModuleElement'>,
  <type 'sage.structure.element.Element'>,
  <type 'sage.structure.sage_object.SageObject'>,
  <type 'object'>)
 sage: q = 2/3
 sage: q.__class__.__mro__
 (<type 'sage.rings.rational.Rational'>,
  <type 'sage.structure.element.FieldElement'>,
  <type 'sage.structure.element.CommutativeRingElement'>,
  <type 'sage.structure.element.RingElement'>,
  <type 'sage.structure.element.ModuleElement'>,
  <type 'sage.structure.element.Element'>,
  <type 'sage.structure.sage_object.SageObject'>,
  <type 'object'>)
 }}}

 I'm happy with this ticket as-is. Jeroen, any more comments?

--
Ticket URL: <https://trac.sagemath.org/ticket/20731#comment:37>
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