#11019: BooleanPolynomial.lex_lead() shouldn't crash on zero
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   Reporter:  malb                 |       Owner:  malb                         
               
       Type:  defect               |      Status:  needs_review                 
               
   Priority:  major                |   Milestone:  sage-4.7                     
               
  Component:  commutative algebra  |    Keywords:  polybori, sigsegv            
               
     Author:  Martin Albrecht      |    Upstream:  None of the above - read 
trac for reasoning.
   Reviewer:                       |      Merged:                               
               
Work_issues:                       |  
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Changes (by malb):

  * status:  new => needs_review


Old description:

> This is bad:
>
> {{{
> #!python
> sage: B.<a,b,c> = BooleanPolynomialRing()
> sage: B(0).lex_lead()
> terminate called after throwing an instance of
> 'polybori::PBoRiGenericError<7u>'
>   what():  Illegal operation on zero diagram or (sub-)polynomial.
> /home/malb/Sage/current/local/bin/sage-sage: line 300: 10210 Aborted
> sage-ipython "$@" -i
> }}}

New description:

 This is bad:

 {{{
 #!python
 sage: B.<a,b,c> = BooleanPolynomialRing()
 sage: B(0).lex_lead()
 terminate called after throwing an instance of
 'polybori::PBoRiGenericError<7u>'
   what():  Illegal operation on zero diagram or (sub-)polynomial.
 /home/malb/Sage/current/local/bin/sage-sage: line 300: 10210 Aborted
 sage-ipython "$@" -i
 }}}

 '''Apply''' attachment:trac_11019.patch

--

Comment:

 Btw. I couldn't go for throwing an error because sometimes {{{gbcore.py}}}
 calls lex_lead() on zero. So I opted for returning zero which seems to
 work.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11019#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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