#5132: [with patch, needs review] real numbers don't support __mod__
------------------------------+---------------------------------------------
 Reporter:  burcin            |       Owner:  somebody
     Type:  defect            |      Status:  new     
 Priority:  major             |   Milestone:  sage-3.3
Component:  basic arithmetic  |    Keywords:          
------------------------------+---------------------------------------------
 {{{
 sage: 10.0 % 2r
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/burcin/.sage/temp/karr/24765/_home_burcin__sage_init_sage_0.py in
 <module>()
 ----> 1
       2
       3
       4
       5

 TypeError: unsupported operand type(s) for %:
 'sage.rings.real_mpfr.RealLiteral' and 'int'
 }}}

 A quick look through sage/rings/real_mpfr.pyx reveals that there is no
 `__mod__` method defined.

 MPFR documentation here:

 http://www.mpfr.org/mpfr-current/mpfr.html#Integer-Related-Functions

 suggests that one of `mpfr_fmod()` or `mpfr_remainder()` should be used,
 depending on the desired rounding properties. Since I live blissfully in
 the exact arithmetic world, I have no idea which one is more suitable for
 Sage.

 Nevertheless, a patch that uses `mpfr_remainder()` is attached.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5132>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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