#11895: Make p-adic numbers unhashable
-------------------------------------+-------------------------------------
       Reporter:  mmasdeu            |        Owner:  roed
           Type:  defect             |       Status:  needs_work
       Priority:  critical           |    Milestone:  sage-6.4
      Component:  padics             |   Resolution:
       Keywords:  p-adic, hash       |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:  one pickle from the
         Branch:                     |  pickle jar does not unpickle
  u/saraedum/ticket/11895            |  correctly
   Dependencies:  #11670, #15897,    |       Commit:
  #15898, #15956, #16122, #16124,    |  42afa4d47da18d38095cd54313731f856ae5f083
  #16129, #16250, #16251, #16316,    |     Stopgaps:
  #16317, #16318, #16321, #16339,    |
  #16341, #16342                     |
-------------------------------------+-------------------------------------

Comment (by vbraun):

 Replying to [comment:44 saraedum]:
 > I'm not sure I understand. Say you are in Qp with 2 digits of precision.
 Then 0 coerces to `O(p^2)`. Setting `x=O(p)` gives `x != 0` when including
 precisions in the comparison.

 Ok, I hadn't thought about that. But IMHO thats more of an issue with
 having two separate and competing ways of specifying precision, one in the
 parent and one in the element:
 {{{
 sage: O(3).parent()(3)
 3 + O(3^21)
 }}}

 > I agree that disabling hashing has its drawbacks but I do not see an
 alternative.

 I don't have a good answer right now either, but it once again shows the
 importance of this issue. We need to fix our failure to adhere to Python's
 convention about comparison and hashes.

--
Ticket URL: <http://trac.sagemath.org/ticket/11895#comment:45>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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