#8800: Doctest coverage of categories
--------------------------+-------------------------------------------------
   Reporter:  SimonKing   |       Owner:  Simon King         
       Type:  defect      |      Status:  new                
   Priority:  major       |   Milestone:  sage-4.4.2         
  Component:  categories  |    Keywords:  categories doctests
     Author:  Simon King  |    Upstream:  N/A                
   Reviewer:              |      Merged:                     
Work_issues:              |  
--------------------------+-------------------------------------------------

Comment(by SimonKing):

 I am now almost finished with the doc tests for pushout.py.

 The soon-to-be-submitted patch is already quite big, and comprises various
 bug fixes. I suggest that this ticket will mainly be about pushout.py, and
 the other files will be done on a separate ticket.

 Here are three more bugs. Number one:
 {{{
 sage: sage: P.<x> = QQ[]
 sage: P.<x> = QQ[]
 sage: Q1 = P.quo([(x^2+1)^2*(x^2-3)])
 sage: Q2 = P.quo([(x^2+1)^2*(x^5+3)])
 sage: from sage.categories.pushout import pushout
 sage: pushout(Q1,Q2)
 ---------------------------------------------------------------------------
 CoercionException                         Traceback (most recent call
 last)

 /home/king/SAGE/work/invarianten/<ipython console> in <module>()

 /home/king/SAGE/sage-4.3.1/local/lib/python2.6/site-
 packages/sage/categories/pushout.pyc in pushout(R, S)
    1037
    1038     else:
 -> 1039         raise CoercionException, "No common base"
    1040
    1041     # Rc is a list of functors from Z to R and Sc is a list of
 functors from Z to S

 CoercionException: No common base
 }}}
 This I can fix. The problem is that the quotient rings have no proper
 ``construction()`` method.

 Number 2, continuing the above example:
 {{{
 sage: Q = P.quo([(x^2+1)^2])
 sage: Q.has_coerce_map_from(Q1)
 False
 sage: Q.has_coerce_map_from(Q2)
 False
 }}}

 This is wrong since the modulus of Q divides the modulus of Q1 and Q2.
 Actually Q is supposed to be the pushout of Q1 and Q2.

 Number three:
 {{{
 sage: Q(Q1.gen())
 ERROR: An unexpected error occurred while tokenizing input
 The following traceback may be corrupted or invalid
 The error message is: ('EOF in multi-line statement', (932, 0))
 ...
 TypeError: Unable to coerce xbar (<class
 
'sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement'>)
 to Rational
 }}}

 But I guess these last two errors should be on a different ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8800#comment:25>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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