Python Floor Division Negative Numbers

Python s default division of integers is return the floor towards negative infinity with no ability to change that. 5 2 2 but if one of the operands is negative the result is floored i e rounded away from zero towards negative infinity. I was asked again today to explain why integer division in python returns the floor of the result instead of truncating towards zero like c.

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Python 2 s operator performs floor division where for the quotient x the number returned is the largest integer less than or equal to x.

Python floor division negative numbers.

Ordinary division with operator 2. You can read the bdfl s reason why. Floor division and modulo are linked by the following identity x x y y x y which is why modulo also yields unexpected results for negative numbers not just floor division. Python 3 s approach provides a fractional answer so that when you use to divide 11 by 2 the quotient of 5 5 will be returned.

To do round up division you would use. Georg brandl georg brandl date. There are two types of division operations in python. In python 2 the quotient returned for the expression 11 2 is 5.

But for floor division in python 2 int int int to understand m. Tim peters who knows where all python s floating point skeletons are buried has expressed some worry about my desire to extend these rules to floating point modulo. 7 2 3 but python is giving output 4. But with a negative number why does 6 4 return 2.

Phyton python floor division operator python floor division example python floor the expression 6 4 yields 1 where floor division produces the whole number after dividing a number. Floor division with operator note. Division works differently in python 2 and 3. 5 2 3 5 2 3.

The truncate towards negative infinity rule can cause precision loss for x 1 0 when x is a very small negative number. The rounding towards zero behavior was deprecated in python 2 2 but remains in python 2 7 for the sake of backward compatibility and was removed in python 3. The above example of 2 3 which gives 0 in python 2 shall be used as 2 3 0 or 2 0 3 or 2 0 3 0 to get 0. For positive numbers there s no surprise.

I hope you learnt something new and if you re looking to upgrade your python skills even further you might want to check out our complete python course. Mathematically python is not giving correct output for integer division for negative number e g. To get a float result in python 2 without floor rounding we can specify one of the operands with the decimal point.