#15337: Speed up ulp() method of real_mpfr.pyx
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       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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Description changed by jdemeyer:

Old description:

> Before:
> {{{
> sage: a=RealField(10**6).one(); timeit('a.ulp()')
> 625 loops, best of 3: 42.9 µs per loop
> }}}
>
> After:
> {{{
> sage: a=RealField(10**6).one(); timeit('a.ulp()')
> 625 loops, best of 3: 6.13 µs per loop
> }}}

New description:

 Before:
 {{{
 sage: a=RealField(10**6).one(); timeit('a.ulp()')
 625 loops, best of 3: 42.9 µs per loop
 }}}

 After:
 {{{
 sage: a=RealField(10**6).one(); timeit('a.ulp()')
 625 loops, best of 3: 6.13 µs per loop
 }}}

 The patch also adds a `field` argument, which can be used to result in a
 different `RealField`. It also adds a related `epsilon()` method, defined
 as ``a.epsilon() = a/2^a.precision()``.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15337#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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