Neil Girdhar wrote:
we want branch continuity in the power.
After all, floating point values have some inaccuracy, and we wouldn't
want chaotic behavior, i.e., small changes to the power to have drastic
changes to the result.
This is not like Fraction where we know that x ** Fraction(1, 3) is a
genuine cube root, and so why not return the principal cube, which we
know to be real valued for real valued x?
Because that would be possible only for a few special combinations
of Fractions ** Fractions that happen to have rational solutions. All
the others would still have to return float or complex results,
which could then be discontinuous with the rational ones.
--
Greg
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