#18622: Improve true division support in coercion model
-------------------------------------+-------------------------------------
       Reporter:  jdemeyer           |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.8
      Component:  cython             |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/improve_true_division_support_in_coercion_model|  
f61588ecabefc84103c4daa40e648b76e6e58828
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by wluebbe):

 * status:  needs_review => needs_work


Comment:

 Testing {{{--all --long}}} I got 4 doctest failures:
 {{{
 sage -t --long src/sage/structure/element.pyx
 **********************************************************************
 File "src/sage/structure/element.pyx", line 1695, in
 sage.structure.element.MultiplicativeGroupElement.__truediv__
 Failed example:
     operator.truediv(2, K.ideal(i+1))
 Expected:
     Fractional ideal (-i + 1)
 Got:
     Fractional ideal (i + 1)
 **********************************************************************
 File "src/sage/structure/element.pyx", line 3042, in
 sage.structure.element.Matrix.__truediv__
 Failed example:
     operator.truediv(a, b)
 Exception raised:
     Traceback (most recent call last):
       File "/home/wluebbe/sage-6.8.beta3/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 496, in _run
         self.compile_and_execute(example, compiler, test.globs)
       File "/home/wluebbe/sage-6.8.beta3/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 858, in compile_and_execute
         exec(compiled, globs)
       File "<doctest sage.structure.element.Matrix.__truediv__[4]>", line
 1, in <module>
         operator.truediv(a, b)
     TypeError: unsupported operand type(s) for /:
 'sage.matrix.matrix_integer_dense.Matrix_integer_dense' and
 'sage.matrix.matrix_integer_dense.Matrix_integer_dense'
 **********************************************************************
 File "src/sage/structure/element.pyx", line 3046, in
 sage.structure.element.Matrix.__truediv__
 Failed example:
     operator.truediv(c, a)
 Exception raised:
     Traceback (most recent call last):
       File "/home/wluebbe/sage-6.8.beta3/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 496, in _run
         self.compile_and_execute(example, compiler, test.globs)
       File "/home/wluebbe/sage-6.8.beta3/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 858, in compile_and_execute
         exec(compiled, globs)
       File "<doctest sage.structure.element.Matrix.__truediv__[6]>", line
 1, in <module>
         operator.truediv(c, a)
     TypeError: unsupported operand type(s) for /:
 'sage.matrix.matrix_rational_dense.Matrix_rational_dense' and
 'sage.matrix.matrix_integer_dense.Matrix_integer_dense'
 **********************************************************************
 2 items had failures:
    2 of   8 in sage.structure.element.Matrix.__truediv__
    1 of   3 in
 sage.structure.element.MultiplicativeGroupElement.__truediv__
     [538 tests, 3 failures, 12.56 s]
 }}}
 and
 {{{
 sage -t --long src/sage/rings/number_field/number_field_ideal.py
 **********************************************************************
 File "src/sage/rings/number_field/number_field_ideal.py", line 1815, in
 sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal._div_
 Failed example:
     I/J
 Expected:
     Fractional ideal (-11/1420*a + 9/284)
 Got:
     Fractional ideal (-17/1420*a + 1/284)
 **********************************************************************
 1 item had failures:
    1 of   7 in
 sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal._div_
     [657 tests, 1 failure, 10.74 s]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18622#comment:6>
Sage <http://www.sagemath.org>
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