#12449: Improve the way that sage evaluates symbolic functions on basic types
---------------------------------------------+------------------------------
   Reporter:  bober                          |          Owner:  bober           
             
       Type:  enhancement                    |         Status:  needs_work      
             
   Priority:  major                          |      Milestone:  sage-5.0        
             
  Component:  symbolics                      |       Keywords:  gamma function  
             
Work_issues:                                 |       Upstream:  N/A             
             
   Reviewer:  Burcin Erocal, Jonathan Bober  |         Author:  Jonathan Bober, 
Burcin Erocal
     Merged:                                 |   Dependencies:  #4498, #12507, 
#9130         
---------------------------------------------+------------------------------
Changes (by jdemeyer):

  * status:  positive_review => needs_work


Comment:

 There is numerical noise.  On hawk (OpenSolaris 06.2009-32):
 {{{
 sage -t  --long -force_lib devel/sage/sage/symbolic/function.pyx
 Warning: divide by zero encountered in divide
 **********************************************************************
 File
 "/export/home/buildbot/build/sage/hawk-1/hawk_full/build/sage-5.0.beta8/devel
 /sage-main/sage/symbolic/function.pyx", line 185:
     sage: cot(complex(1,2))
 Expected:
     (0.03279775553375259-0.9843292264581908j)
 Got:
     (0.03279775553375261-0.9843292264581911j)
 **********************************************************************
 sage -t  --long -force_lib devel/sage/sage/functions/hyperbolic.py
 Warning: divide by zero encountered in divide
 Warning: divide by zero encountered in divide
 **********************************************************************
 File
 "/export/home/buildbot/build/sage/hawk-1/hawk_full/build/sage-5.0.beta8/devel
 /sage-main/sage/functions/hyperbolic.py", line 543:
     sage: float(arccoth(2))
 Expected:
     0.5493061443340548
 Got:
     0.5493061443340549
 **********************************************************************
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12449#comment:15>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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