Hi Neil You wrote:
> Would there be any problem with changing: > In [4]: Fraction(1, 1) ** Fraction(2, 3) > Out[4]: 1.0 > In [5]: Fraction(-1, 1) ** Fraction(2, 3) > Out[5]: (-0.4999999999999998+0.8660254037844387j) > In [6]: Fraction(0, 1) ** Fraction(2, 3) > Out[6]: 0.0 > I'd like these to be Fraction(1), Fraction(1), and Fraction(0). I think this may be a hard problem, that looks easy. I'm used to using a number theory computer algebra system https://pari.math.u-bordeaux.fr/. Here's what it does with your examples. (First I show that it's default number type is whole numbers and fractions.) $ gp GP/PARI CALCULATOR Version 2.5.5 (released) ? 1/2 + 1/2 %1 = 1 ? 2^3 %2 = 8 ? 2^(6/2) %3 = 8 ? 4^(1/2) %4 = 2.0000000000000000000000000000000000000 ? 1^(2/3) %5 = 1.0000000000000000000000000000000000000 ? (-1)^(2/3) %6 = -0.50000000000000000000000000000000000000 + 0.86602540378443864676372317075293618347*I ? (0/1)^(2/3) %7 = 0 This gives the same results as Python's Fraction, except for your example [6]. There, it gives the Fraction(0) you ask for. If the smart mathematicians and computer scientists that wrote gp/pari get the same answers, it suggests to me that improvement would be hard. That said, a case can be made for the value given by [6] being a bug. Or a poorly documented feature. -- best regards Jonathan _______________________________________________ Python-ideas mailing list Python-ideas@python.org https://mail.python.org/mailman/listinfo/python-ideas Code of Conduct: http://python.org/psf/codeofconduct/
