Question

Generate two sequences, 5000 pseudorandom numbers each, using two different PRN generators: one (Sequence A) with MCG, and another (Sequence B) – by using the PRN function built in the programming language you use (e.g. RND( ), RAND[ ], etc.). (Use python)

Then, plot two the sequences into two separated graphs.

Answer 1

Here is the code:

import random
import itertools

sequence_b = list()
sequence_b.extend([random.randrange(100) for item in range(100)])    #PNR

x_axis = list()
x_axis.extend([item for item in range(100)])


# Multiplicative Congruence method for generating Pseudo Random Numbers
def multiplicativeCongruentialMethod(Xo, m, a, randomNums, nums):        # MCG
    sequence_a[0] = Xo # Initialize the seed state 
    
    for i in range(1, nums): # Traverse to generate required numbers of random numbers 
        sequence_a[i] = (randomNums[i - 1] * a) % m  # Follow the linear congruential method 
        
# initializing the parameters
Xo = 7    # Seed value 
m = 15    # Modulus parameter 
a = 7     # Multiplier term 

nums = 100   # Number of Random numbers to be generated 
sequence_a = [0] * (nums)   # To store random numbers 

# Function Call 
multiplicativeCongruentialMethod(Xo, m, a, sequence_a, nums) 
sequence_a[:5]

pair_sequence_a = list()
pair_sequence_b = list()
pair_sequence_a = [(i, j) for i, j in zip(x_axis, sequence_a)]
pair_sequence_b = [(i, j) for i, j in zip(x_axis, sequence_b)]

import matplotlib.pyplot as plt
plt.scatter(*zip(*pair_sequence_a))


plt.scatter(*zip(*pair_sequence_b))

Here is the output:

It is a scatter plot for random number with sequence number because we need both x axis and y axis to plot.

For any doubts, please comment below.