#12121: floor/ceil can be very slow at integral values
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       Reporter:  dsm               |        Owner:  AlexGhitza
           Type:  defect            |       Status:  needs_review
       Priority:  major             |    Milestone:  sage-6.4
      Component:  basic arithmetic  |   Resolution:
       Keywords:                    |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Comment (by vdelecroix):

 Replying to [comment:9 zimmerma]:
 > I'm not sure if this should go to this ticket, but the following never
 returns:
 > {{{
 > sage: z
 > (11/9*sqrt(3)*sqrt(2) + 3)^(1/3) + 1/3/(11/9*sqrt(3)*sqrt(2) + 3)^(1/3)
 - 1
 > sage: floor(z)
 > }}}
 > Even {{{floor(z, maximum_bits=53)}}} loops infinitely.

 Whereas the following actually works
 {{{
 sage: bool(z == 1)
 True
 }}}

 > Should I open a separate ticket?

 I think that "very slow" includes "infinite amount of time". For me it is
 worth it to also fix this kind of endless loops in this ticket.

--
Ticket URL: <http://trac.sagemath.org/ticket/12121#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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