#9880: Pynac comparison functions do not provide a SWO
------------------------------------------------------------------+---------
       Reporter:  jpflori                                         |         
Owner:  burcin                          
           Type:  defect                                          |        
Status:  needs_review                    
       Priority:  major                                           |     
Milestone:  sage-5.10                       
      Component:  symbolics                                       |    
Resolution:                                  
       Keywords:  pynac                                           |   Work 
issues:                                  
Report Upstream:  N/A                                             |     
Reviewers:  Burcin Erocal, Jean-Pierre Flori
        Authors:  Burcin Erocal, Jean-Pierre Flori, Volker Braun  |     Merged 
in:                                  
   Dependencies:  #13213                                          |      
Stopgaps:                                  
------------------------------------------------------------------+---------

Old description:

> Here is a short example found by Burcin and reproducing the bug:
>
> {{{
> b = [var('b_%s'%i) for i in range(4)]
>
> precomp = (2^b_2 + 2)*(2^b_1 + 2^(-b_1) + 2^b_1*2^b_0 - 2^b_1*2^(-b_0)
> - 2^(-b_1)*2^b_0 - 2^(-b_1)*2^(-b_0) + 2^b_0 + 2^(-b_0) - 9) + (2^b_1 +
> 2^(-b_1) + 2^b_1*2^b_0 - 2^b_1*2^(-b_0) - 2^(-b_1)*2^b_0 -
> 2^(-b_1)*2^(-b_0) + 2^b_0 + 2^(-b_0) - 9)/2^b_2
>
> repl_dict = {b_0: b_0, b_3: b_1, b_2: b_3, b_1: b_2}
> P = precomp.substitute(repl_dict)
> P.expand()
> }}}
> This is already being discussed here: http://groups.google.com/group
> /sage-support/browse_thread/thread/7c85f02c76012722
>
> The following patches are for the Sage library to enable access to the
> PyNaC order and randomly test that it is a SWO:
>
> Install the (test) package from here:
> http://sage.math.washington.edu/home/burcin/pynac/pynac-0.3.0.spkg
>
> Then apply
>   1. [attachment:trac_9880_pynac_order-sage_5_10_beta2.patch]
>   1. [attachment:trac_9880_randomized_testing-sage_5_10_beta2.patch]
>   1. [attachment:trac_9880-doctest_for_9046-sage_5_10_beta2.patch]
>   1. [attachment:trac_9880-add_doctests-sage_5_10_beta2.patch]
>   1. [attachment:trac_9880-fix_doctests-sage_5_10_beta5.patch]
>   1. [attachment:trac_9880-review.patch]

New description:

 Here is a short example found by Burcin and reproducing the bug:

 {{{
 b = [var('b_%s'%i) for i in range(4)]

 precomp = (2^b_2 + 2)*(2^b_1 + 2^(-b_1) + 2^b_1*2^b_0 - 2^b_1*2^(-b_0)
 - 2^(-b_1)*2^b_0 - 2^(-b_1)*2^(-b_0) + 2^b_0 + 2^(-b_0) - 9) + (2^b_1 +
 2^(-b_1) + 2^b_1*2^b_0 - 2^b_1*2^(-b_0) - 2^(-b_1)*2^b_0 -
 2^(-b_1)*2^(-b_0) + 2^b_0 + 2^(-b_0) - 9)/2^b_2

 repl_dict = {b_0: b_0, b_3: b_1, b_2: b_3, b_1: b_2}
 P = precomp.substitute(repl_dict)
 P.expand()
 }}}
 This is already being discussed here: http://groups.google.com/group/sage-
 support/browse_thread/thread/7c85f02c76012722

 The following patches are for the Sage library to enable access to the
 PyNaC order and randomly test that it is a SWO:

 Install the package from here:
 http://sage.math.washington.edu/home/burcin/pynac/pynac-0.3.0.spkg

 Then apply
   1. [attachment:trac_9880_pynac_order-sage_5_10_beta2.patch]
   1. [attachment:trac_9880_randomized_testing-sage_5_10_beta2.patch]
   1. [attachment:trac_9880-doctest_for_9046-sage_5_10_beta2.patch]
   1. [attachment:trac_9880-add_doctests-sage_5_10_beta2.patch]
   1. [attachment:trac_9880-fix_doctests-sage_5_10_beta5.patch]
   1. [attachment:trac_9880-review.patch]

--

Comment (by burcin):

 It's been quite a while since the last time I made an `spkg`. New version
 is up at the same URL with a ticket number in the commit message, and no
 tags. :)

 That reminds me... I need to update the pynac web site to mention the
 release.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9880#comment:87>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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