#18159: cardinality must output Infinty or a Sage integer
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  critical           |    Milestone:  sage-6.6
      Component:  categories         |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/18159                 |  e40975a50978d76bf1c8ad4a141470dc0b010289
   Dependencies:                     |     Stopgaps:
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Comment (by ncohen):

 > It is not sufficient. '''You''' were arguing that Python ints were
 better because faster. I just showed you that it is not completely right.
 An argument for `X` is generally not an argument for `Y`.

 All I wanted to point out is that *sometimes* an int is better than an
 Integer, and that for this reason they should not be forbidden. I do not
 mean to say that a Python int is always better than a Sage Integer, and
 quite clearly it is not the case: ints overflows, Integers do not.

 > The reason to oblige people to return Sage integers or Infinity in the
 method `.cardinality` of a `Parent` is mostly for consistency.

 Couldn't we just use the `TestSuite` to detect errors? When you see a non-
 integer then something is most probably wrong and the testsuite should
 report it. What you are doing right now is simulate a "return type" for a
 function in a language that does not support it.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/18159#comment:22>
Sage <http://www.sagemath.org>
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