#13975: improve error reporting in some tests
---------------------------+------------------------------------------------
   Reporter:  cnassau      |             Owner:  nthiery         
       Type:  enhancement  |            Status:  new             
   Priority:  minor        |         Milestone:  sage-5.6        
  Component:  categories   |          Keywords:                  
Work issues:               |   Report Upstream:  N/A             
  Reviewers:               |           Authors:  Christian Nassau
  Merged in:               |      Dependencies:                  
   Stopgaps:               |  
---------------------------+------------------------------------------------
 In case of failure the routines
    * {{{_test_associativity}}}
    * {{{_test_distributivity}}}
    * {{{_test_one}}}
    * {{{_test_prod}}}
 should report the elements that failed.

 The attached patch just enhances the error messages and adds some test
 cases similar to the following:
 {{{#!python
 sage: import types
 sage: P.<x,y>=PolynomialRing(QQbar,"x,y")
 sage: x._mul_ = types.MethodType(lambda a,b: 0,x)
 sage: y._mul_ = types.MethodType(lambda a,b: a,x)
 sage: P._test_associativity(elements=[x,y])
 Traceback (most recent call last):
 ...
 AssertionError: associativity test failed on (x,y,z) = (y,y,x)
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13975>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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