Python Floor Division Negative Numbers

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. 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. 7 2 3 but python is giving output 4.

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5 2 2 but if one of the operands is negative the result is floored i e rounded away from zero towards negative infinity.

Python floor division negative numbers.

Python s default division of integers is return the floor towards negative infinity with no ability to change that. Ordinary division with operator 2. To get a float result in python 2 without floor rounding we can specify one of the operands with the decimal point. 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.

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. 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. Mathematically python is not giving correct output for integer division for negative number e g. 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.

The truncate towards negative infinity rule can cause precision loss for x 1 0 when x is a very small negative number. 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. To do round up division you would use. 5 2 3 5 2 3.

You can read the bdfl s reason why. 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. In python 2 the quotient returned for the expression 11 2 is 5. For positive numbers there s no surprise.

Division works differently in python 2 and 3. There are two types of division operations in python. 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. Floor division with operator note.

But for floor division in python 2 int int int to understand m. But with a negative number why does 6 4 return 2. Georg brandl georg brandl date.