#11948: Fix numeric evaluation of error function
--------------------------------------------------------------------------+-
       Reporter:  jdemeyer                                                |     
    Owner:  jdemeyer           
           Type:  defect                                                  |     
   Status:  closed             
       Priority:  major                                                   |     
Milestone:  sage-4.8           
      Component:  numerical                                               |    
Resolution:  fixed              
       Keywords:  erf erfc                                                |   
Work issues:                     
Report Upstream:  N/A                                                     |     
Reviewers:  Karl-Dieter Crisman
        Authors:  Jeroen Demeyer                                          |     
Merged in:  sage-4.8.alpha6    
   Dependencies:  #11130, #11321, #11854, #11891, #11890, #11836, #11952  |     
 Stopgaps:                     
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Comment (by kcrisman):

 Now, in 5.1.beta6's gp I get
 {{{

 $ Downloads/sage-5.1.beta6/sage -gp
            GP/PARI CALCULATOR Version 2.5.1 (development git-5c5e253)
           i386 running darwin (x86-64/GMP-5.0.2 kernel) 64-bit version
                     compiled: Jun 25 2012, gcc-4.6.3 (GCC)
                  (readline v6.2 enabled, extended help enabled)

                      Copyright (C) 2000-2011 The PARI Group

 PARI/GP is free software, covered by the GNU General Public License, and
 comes
 WITHOUT ANY WARRANTY WHATSOEVER.

 Type ? for help, \q to quit.
 Type ?12 for how to get moral (and possibly technical) support.

 parisize = 8000000, primelimit = 500509
 ? erfc(3*I)
 %1 = 0.E-35 - 1629.5516567497094550267455532288372861*I
 }}}
 so I see that this is still in "our" version of Pari.  Is this fixed
 upstream?   Is it possible that this is not actually a bug in Pari, but in
 our use of it?  Wolfram Alpha
 [http://www.wolframalpha.com/input/?i=erfc%283*i%29 gives the mpmath
 answer], for what it's worth.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11948#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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