#10284: Infinite loop in gcd() via pynac-0.2.1
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   Reporter:  bgoodri    |       Owner:  burcin                                 
   
       Type:  defect     |      Status:  new                                    
   
   Priority:  major      |   Milestone:  sage-5.0                               
   
  Component:  symbolics  |    Keywords:  gcd                                    
   
     Author:             |    Upstream:  Fixed upstream, in a later stable 
release.
   Reviewer:             |      Merged:                                         
   
Work_issues:             |  
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Comment(by burcin):

 Replying to [ticket:10284 bgoodri]:
 > This bug was fixed in GiNaC 1.5.x but pynac forked off the 1.4.x branch.
 See
 >
 >
 
http://www.ginac.de/ginac.git?p=ginac.git;a=commit;h=edf1ae46a926d0a718063c149b78c1b9a7ec2043
 <snipped example>
 > So, it appears as if we need to use Singular or sync to at least GiNaC
 1.5.8 .

 If there isn't a straightforward way to adopt the patch that went into
 GiNaC 1.5.x, I don't think it's worth the time to sync the gcd code in
 pynac with the latest version in GiNaC.

 Multivariate gcd is a hard problem. IMHO, we should have a single, well-
 tested, fast implementation and use that everywhere in Sage, rather than
 rely on the efforts of each upstream developer team to implement their own
 with a unique set of bugs.

 Using Factory as a library doesn't look too hard:

 http://www.singular.uni-kl.de/svn/trunk/factory/examples/gcd.cc

 The README file is helpful, although I'm not sure if there is any other
 documentation available:

 http://www.singular.uni-kl.de/svn/trunk/factory/README

 I'm quite sure we would get good feedback from the current developers if
 the issues are discussed at the libsingular-devel list:

 http://groups.google.com/group/libsingular-devel

 It seems that once the necessary changes are made in pynac to use Factory
 for gcd's, it would be straightforward to plug in another library, perhaps
 giac, later.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10284#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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