Ceiling division in Python
Ceiling division returns the nearest integer that is greater than or equal to the current answer or quotient. In Python, we have an operator //for floor division, but there is no operator for ceiling division. This article will discuss the different ways we can perform ceiling division in Python.
//Using the operator to perform ceiling division
in Python
We can //perform ceiling division in Python using so math and floor Division. Refer the following code.
def ceil(a, b):
return -1 * (-a // b)
print(ceil(1, 2))
print(ceil(5, 4))
print(ceil(7, 2))
print(ceil(5, 3))
print(ceil(121, 10))
Output:
1
2
4
2
13
Here is what we did.
-
-a // bwill return the same answer, but witha // bthe opposite sign of . -
Because on the negative side,
-ais greater than-(a + 1), whereais a positive number,//the operator will return an integer that is slightly smaller than the actual answer. For example, if the answer to normal division is-1.25, the floor value returned will be-2(-1.25the smallest integer that is closest to ). -
By multiplying the intermediate answer or result of
-1with(-a // b), we get an answer with the expected sign. The return value is essentially the result of the ceiling division.
math.ceil()Use the function to perform ceiling division
in Python
Python has a mathpackage that has a lot of functions and utilities to perform mathematical operations. One such function is ceil()the ceil function. This function returns the ceiling value of the passed number. For example, if we 2.3pass to this function, it will return 3. We pass the result of normal division to this function and return its ceil value. See the following code for more examples and its usage.
from math import ceil
print(ceil(1 / 2))
print(ceil(5 / 4))
print(ceil(7 / 2))
print(ceil(5 / 3))
print(ceil(121 / 10))
Output:
1
2
4
2
13
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