Comment #5 on issue 2042 by asmeurer: Frac() object for rational function
arithmetics
http://code.google.com/p/sympy/issues/detail?id=2042
What is the residue representation?
If Frac() is not written from the start to keep the numerator and
denominator canceled, then it will be almost the same as keeping track of a
tuple of (numerator, denominator) manually to me. Care must be taken to do
this efficiently (i.e., don't call cancel() any more than necessary), or
the object will be slow. Does DMF already to this?
There's also the question raised above about the ground domain of the
coefficients, whether we should clear denominators, or whether we should
keep one of the numerator or denominator monic (I personally prefer to keep
the denominator monic). This should be an option to Frac() that propagates
properly.
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