random.vonmisesvariate() function in Python

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random module is used to generate random numbers in Python. Not actually random, rather this is used to generate pseudo-random numbers. That implies that these randomly generated numbers can be determined.

random.vonmisesvariate()

vonmisesvariate() is an inbuilt method of the random module. It is used to return a random floating point number with von Mises distribution or circular normal distribution.

Syntax : random.vonmisesvariate(mu, kappa)

Parameters :
mu : mean angle, expressed in radians between 0 and 2*pi
kappa : concentration parameter, greater than or equal to zero

Returns : a random von Mises distribution floating number

Example 1:

# import the random module 
import random 
  
# determining the values of the parameters 
mu = 0
kappa = 4
  
# using the vonmisesvariate() method 
print(random.vonmisesvariate(mu, kappa)) 

Output :

0.9429600175580171

Example 2: We can generate the number multiple times and plot a graph to observe the von Mises distribution.

# import the required libraries  
import random  
import matplotlib.pyplot as plt  
    
# store the random numbers in a   
# list  
nums = []  
mu = 0
kappa = 4
    
for i in range(100):  
    temp = random.vonmisesvariate(mu, kappa) 
    nums.append(temp)  
        
# plotting a graph  
plt.plot(nums)  
plt.show() 

Output :

Example 3: We can create a histogram to observe the density of the von Mises distribution.

# import the required libraries  
import random  
import matplotlib.pyplot as plt  
    
# store the random numbers in a list  
nums = []  
mu = 0
kappa = 4
    
for i in range(10000):  
    temp = random.vonmisesvariate(mu, kappa)  
    nums.append(temp)  
        
# plotting a graph  
plt.hist(nums, bins = 200)  
plt.show() 