[Python-Dev] Mixing float and Decimal -- thread reboot
Greg Ewing
greg.ewing at canterbury.ac.nz
Tue Mar 23 00:05:47 CET 2010
Mark Dickinson wrote:
> But the Fraction type is going to mess this up: for Decimal +
> Fraction -> Decimal, I don't see any other sensible option than to
> convert the Fraction using the current context, since lossless
> conversion isn't generally possible.
You could convert the Decimal to a Fraction, do the arithmetic
as Fractions, and convert the result back to Decimal using the
current precision.
I think this would satisfy the principle of performing the
calculation as though infinite precision were available, and
the final rounding is justified, since seen from the outside
we are performing a single operation on two numbers.
Another approach would be to convert the numerators and
denominators separately to Decimal, and then do
a/b + c/d = (a*d + b*c) / (b*d)
using the usual rules of Decimal arithmetic. This would
incur more than one rounding, but the rules for Decimals
concern operations between two Decimals, and we have a
Decimal and a Fraction here, so all bets could be considered
off.
--
Greg
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