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Python math.fmod() Method

The Python math.fmod() method is used to calculate the floating-point remainder of dividing one number by another. Mathematically, it calculates the remainder when dividing the first argument (dividend) by the second argument (divisor), where both arguments are floating-point numbers.

The formula to calculate the remainder using the fmod() method is −

fmod(x,y) = x − y × ⌊x/y⌋

Where, ⌊x/y⌋ denotes the largest integer less than or equal to x/y. For example, if you have x = 10.5 and y = 3.0, then math.fmod(10.5, 3.0) returns 10.5 3.0 × ⌊10.5/3.0⌋ = 1.5.

Following is the basic syntax of the Python math.fmod() method −

math.fmod(x, y)

This method accepts the following parameters −

• x − This is a numeric value representing the numerator.

• y − This is a numeric value representing the denominator.

The method returns a float, which is the remainder of dividing x by y. The sign of the result is the same as the sign of x, regardless of the sign of y.

In the following example, we are calculating the remainder of 10 divided by 3 using the math.fmod() method −

import math
result = math.fmod(10, 3)
print("The result obtained is:",result) 

The output obtained is as follows −

The result obtained is: 1.0

When a negative dividend is passed to the fmod() method, it returns a result with the same sign as the dividend.

Here, we are calculating the remainder of -10 divided by 3 using the math.fmod() method −

import math
result = math.fmod(-10, 3)
print("The result obtained is:",result) 

Following is the output of the above code −

The result obtained is: -1.0

If we pass floating-point numbers as both the dividend and divisor, the fmod() method returns a float value −

import math
result = math.fmod(7.5, 3.5)
print("The result obtained is:",result) 

We get the output as shown below −

The result obtained is: 0.5

When a negative divisor is passed to the fmod() method, it retains the sign of the dividend.

Now, we are calculating the remainder of 10 divided by -3 using the math.fmod() method −

import math
result = math.fmod(10, -3)
print("The result obtained is:",result) 

The result produced is as shown below −

The result obtained is: 1.0

python_maths.htm

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