#8336: round(x) <> x.round() for x in RealField
--------------------------------+-------------------------------------------
   Reporter:  zimmerma          |       Owner:  AlexGhitza
       Type:  defect            |      Status:  new       
   Priority:  critical          |   Milestone:  sage-4.3.4
  Component:  basic arithmetic  |    Keywords:            
     Author:  Paul Zimmermann   |    Upstream:  N/A       
   Reviewer:                    |      Merged:            
Work_issues:                    |  
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 This is related to #188 and #2899.
 {{{
 sage: R=RealField(150)
 sage: x=R(3493274823748475345934875398475345349.9343498375)
 sage: y=round(x)
 sage: y, type(y)
 (3.49327482375e+36, <type 'sage.rings.real_double.RealDoubleElement'>)
 sage: z=x.round()
 sage: z, type(z)
 (3493274823748475345934875398475345350, <type
 'sage.rings.integer.Integer'>)
 }}}
 If one performs {{{ZZ(y)}}} to convert {{{y}}} to an integer, one
 has a huge loss of accuracy.

 I see no point of forcing coercion to RDF, which has limited precision and
 exponent range.

 I would expect {{{round(x)}}} to return the same value as {{{z}}},
 either as Integer or RealField.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8336>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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