#15337: Speed up ulp() method of real_mpfr.pyx
------------------------------------+----------------------------
       Reporter:  jdemeyer          |        Owner:
           Type:  enhancement       |       Status:  needs_review
       Priority:  minor             |    Milestone:  sage-5.13
      Component:  basic arithmetic  |   Resolution:
       Keywords:                    |    Merged in:
        Authors:  Jeroen Demeyer    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Comment (by zimmerma):

 > So what do you prefer: never returning self? returning self for NaN and
 +Inf but not for -Inf?

 I would prefer consistency: either always returning self, or never
 returning self (unless there is a good reason for not being coherent).

 While playing with ulp I noticed something strange:
 {{{
 sage: a=RDF(0)
 sage: a, a.ulp()
 (0.0, 4.94065645841e-324)
 sage: b, b.ulp()
 (4.94065645841e-324, 0.0)
 }}}

 The same holds with RR:
 {{{
 sage: a=RR(0)
 sage: a, a.ulp()
 (0.000000000000000, 8.50969131174084e-1388255822130839284)
 sage: b=a.ulp()
 sage: b, b.ulp()
 (8.50969131174084e-1388255822130839284, 0.000000000000000)
 }}}

 Finally:

 > In MPFR, this isn't true since MPFR doesn't have denormal numbers.

 agreed.

 Paul

--
Ticket URL: <http://trac.sagemath.org/ticket/15337#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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