#19928: doctest fix for infinities break the hash contract
-------------------------------------------------+-------------------------
       Reporter:  rws                            |        Owner:
           Type:  defect                         |       Status:  new
       Priority:  major                          |    Milestone:  sage-7.1
      Component:  symbolics                      |   Resolution:
       Keywords:                                 |    Merged in:
        Authors:                                 |    Reviewers:
Report Upstream:  Fixed upstream, in a later     |  Work issues:
  stable release.                                |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:                                 |
-------------------------------------------------+-------------------------
Changes (by rws):

 * upstream:  N/A => Fixed upstream, in a later stable release.
 * dependencies:  #19927 =>


Old description:

> {{{
> sage: hash(-oo)
> -9223372036854775808
> sage: hash(SR(-oo))
> 1390175631
> sage: hash(oo)
> 9223372036854775807
> sage: hash(SR(oo))
> 1577573780
> sage: hash(unsigned_infinity)
> 9223372036854775806
> sage: hash(SR(unsigned_infinity))
> 2904791665
> }}}
> The reason is that (at least with `-oo`) in Pynac they can be represented
> as an `expair` and such hashes are calculated using
> `all^(rest^coeff)^overall_coeff`.
>
> So the question is also why Pynac needs an `expair` for `oo` but not for
> `pi`:
> {{{
> sage: SR(1*pi)._dbgprinttree()
> pi (constant) @0x2844e00, hash=0xa6ee0bd1, flags=0xf
> sage: SR(oo)._dbgprinttree()
> infinity (infinity) @0x1e78ef0, hash=0x0, flags=0x7
>     1 (numeric) @0x1cbe380, hash=0x5a00e46d, flags=0x7
> }}}
> See https://github.com/pynac/pynac/issues/126

New description:

 {{{
 sage: hash(-oo)
 -9223372036854775808
 sage: hash(SR(-oo))
 1390175631
 sage: hash(oo)
 9223372036854775807
 sage: hash(SR(oo))
 1577573780
 sage: hash(unsigned_infinity)
 9223372036854775806
 sage: hash(SR(unsigned_infinity))
 2904791665
 }}}

 Fixed in https://github.com/pynac/pynac/issues/126

--

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Ticket URL: <http://trac.sagemath.org/ticket/19928#comment:5>
Sage <http://www.sagemath.org>
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