#7939: shorten doctests in sage/rings/multi_polynomial_ideal.py
-------------------------------+--------------------------------------------
   Reporter:  rlm              |       Owner:  tbd         
       Type:  defect           |      Status:  needs_review
   Priority:  major            |   Milestone:  sage-4.3.1  
  Component:  interfaces       |    Keywords:              
     Author:  Martin Albrecht  |    Upstream:  N/A         
   Reviewer:                   |      Merged:              
Work_issues:                   |  
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Comment(by malb):

 Some details on how much faster single functions got:

 '''vanilla'''
 {{{
 #!python
 sage: P = PolynomialRing(GF(127),5,'x')
 sage: I = sage.rings.ideal.Cyclic(P)
 sage: %time _ = I.triangular_decomposition()
 CPU times: user 0.01 s, sys: 0.00 s, total: 0.01 s
 Wall time: 4.83 s

 sage: %timeit I.basis_is_groebner(); I.basis_is_groebner.clear_cache()
 10 loops, best of 3: 520 ms per loop

 sage: I = Ideal([P.random_element() for _ in range(P.ngens())])
 sage: %time _ = I.variety()
 CPU times: user 0.01 s, sys: 0.00 s, total: 0.01 s
 Wall time: 4.25 s
 }}}

 '''patch'''
 {{{
 #!python
 sage: P = PolynomialRing(GF(127),5,'x')
 sage: I = sage.rings.ideal.Cyclic(P)
 sage: %time _ = I.triangular_decomposition()
 CPU times: user 0.05 s, sys: 0.00 s, total: 0.05 s
 Wall time: 0.64 s

 sage: %timeit I.basis_is_groebner(); I.basis_is_groebner.clear_cache()
 1000 loops, best of 3: 1.98 ms per loop

 sage: I = Ideal([P.random_element() for _ in range(P.ngens())])
 sage: %time _ = I.variety()
 CPU times: user 0.09 s, sys: 0.00 s, total: 0.09 s
 Wall time: 0.64 s
 }}}

 All timings on sage.math.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7939#comment:9>
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