[issue39703] Floor division operator and floats
Mark Dickinson
report at bugs.python.org
Thu Feb 20 12:07:59 EST 2020
Mark Dickinson <dickinsm at gmail.com> added the comment:
> Shouldn't the two approaches provide the same answer?
In a word, no. :-)
math.floor(1/0.01) involves *two* operations, and there's an intermediate rounding step which happens to round the true mathematical result of 1/0.01 up to 100.0. Taking the floor of that then (of course) gives 100.0.
1//0.01 is the single-operation equivalent, that doesn't include an intermediate round.
There are lots of other cases where a combination of two or more operations is mathematically equivalent to a single operation, but produces a different result due to an intermediate round; for example, things like `log(n) / log(2)` versus `log2(n)`, or `round(x, 2)` versus `round(100.0*x)/100.0`.
There's unfortunately no way to square the circle here that doesn't cause surprises in at least some corner cases.
I'm almost sure this issue is a duplicate, but I haven't found a good target for that duplicate yet. I'll continue searching.
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nosy: +mark.dickinson
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