#4623: x^2 is wrong in RealIntervalField
------------------------------+---------------------------------------------
 Reporter:  zimmerma          |       Owner:  somebody  
     Type:  defect            |      Status:  new       
 Priority:  major             |   Milestone:  sage-3.2.1
Component:  basic arithmetic  |    Keywords:            
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 {{{
 sage: R=RealIntervalField(53)
 sage: x=R(-1,2)
 sage: xx=x^2
 sage: xx.lower(), xx.upper()
 (-2.00000000000000, 4.00000000000000)
 }}}
 The result should be (0, 4) instead, since for -1 <= x <= 2, we have 0 <=
 x^2 <= 4.
 (Of course (-2, 4) is a correct enclosure, but any specialist of interval
 arithmetic
 will consider that as a real bug.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4623>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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