开发者

Integer division compared to floored quotient: why this surprising result?

开发者 https://www.devze.com 2022-12-15 21:26 出处:网络
The // \"integer division\" operator of Python surprised me, today: >>&开发者_如何学Gogt; math.floor(11/1.1)

The // "integer division" operator of Python surprised me, today:

>>&开发者_如何学Gogt; math.floor(11/1.1)
10.0
>>> 11//1.1
9.0

The documentation reads "(floored) quotient of x and y". So, why is math.floor(11/1.1) equal to 10, but 11//1.1 equal to 9?


Because 1.1 can't be represented in binary form exactly; the approximation is a littler higher than 1.1 - therefore the division result is a bit too small.

Try the following:

Under Python 2, type at the console:

>>> 1.1
1.1000000000000001

In Python 3.1, the console will display 1.1, but internally, it's still the same number.

But:

>>> 11/1.1
10.0

As gnibbler points out, this is the result of "internal rounding" within the available precision limits of floats. And as The MYYN points out in his comment, // uses a different algorithm to calculate the floor division result than math.floor() in order to preserve a == (a//b)*b + a%b as well as possible.

Use the Decimal type if you need this precision.

0

精彩评论

暂无评论...
验证码 换一张
取 消

关注公众号