from matplotlib import pyplot as plt

import pandas as pd

def linearCongruentialMethod(Xo, m, a, c, randomNums, U):

    randomNums[0] = Xo

    U[0] = randomNums[0] / m

    for i in range(1, 10000):

        # Follow the linear congruential method

        randomNums[i] = ((randomNums[i - 1] * a) + c) % m

        U[i] = randomNums[i] / m

print("a = 1597, b = 0, m = 244944")

a = 1597

c = 0

m = 244944

i = 0.01

for i in range(1, 6):

    X0 = i * 0.01

    print("\n X0 = ", X0, "\n")

    noOfRandomNums = 10005

    randomNums = [0] * (noOfRandomNums)

    U = [0] * (noOfRandomNums)

    linearCongruentialMethod(X0, m, a, c, randomNums, U)

    intervals = 20

    freq = [0] * (intervals)

    for j in U:

        x = 1

        x = j * 100 / 5

        freq[int(x)] = freq[int(x)] + 1

    mydata = {'Interval  ': ['[0.00,0.05)', '[0.05,0.10)', '[0.10,0.15)', '[0.15,0.20)', '[0.20,0.25)', '[0.25,0.30)',

                             '[0.30,0.35)', '[0.35,0.40)', '[0.40,0.45)', '[0.45,0.50)', '[0.50,0.55)', '[0.55,0.60)',

                             '[0.60,0.65)', '[0.65,0.70)', '[0.70,0.75)', '[0.75,0.80)', '[0.80,0.85)', '[0.85,0.90)',

                             '[0.90,0.95)', '[0.95,1.00)'],

              'Freuency': freq}

    df = pd.DataFrame(mydata)

    print(df)

    data = {'1': freq[0], '2': freq[1], '3': freq[2], '4': freq[3], '5': freq[4], '6': freq[5], '7': freq[6],

            '8': freq[7], '9': freq[8], '10': freq[9], '11': freq[10], '12': freq[11], '13': freq[12], '14': freq[13],

            '15': freq[14], '16': freq[15], '17': freq[16], '18': freq[17], '19': freq[18], '20': freq[19], }

    interval = list(data.keys())

    frequency = list(data.values())

    fig = plt.figure(figsize=(10, 5))

    plt.bar(interval, frequency, color='maroon', width=0.4)

    plt.show()

print("\na = 51749, b = 0, m = 244944")

a = 51749

c = 0

m = 244944

i = 0.01

for i in range(1, 6):

    X0 = i * 0.01

    print("\n X0 = ", X0, "\n")

    noOfRandomNums = 10005

    randomNums = [0] * (noOfRandomNums)

    U = [0] * (noOfRandomNums)

    linearCongruentialMethod(X0, m, a, c, randomNums, U)

    intervals = 20

    freq = [0] * (intervals)

    for j in U:

        x = 1

        x = j * 100 / 5

        freq[int(x)] = freq[int(x)] + 1

    mydata = {'Interval  ': ['[0.00,0.05)', '[0.05,0.10)', '[0.10,0.15)', '[0.15,0.20)', '[0.20,0.25)', '[0.25,0.30)',

                             '[0.30,0.35)', '[0.35,0.40)', '[0.40,0.45)', '[0.45,0.50)', '[0.50,0.55)', '[0.55,0.60)',

                             '[0.60,0.65)', '[0.65,0.70)', '[0.70,0.75)', '[0.75,0.80)', '[0.80,0.85)', '[0.85,0.90)',

                             '[0.90,0.95)', '[0.95,1.00)'],

              'Freuency': freq}

    df = pd.DataFrame(mydata)

    print(df)

    data = {'1': freq[0], '2': freq[1], '3': freq[2], '4': freq[3], '5': freq[4], '6': freq[5], '7': freq[6],

            '8': freq[7], '9': freq[8], '10': freq[9], '11': freq[10], '12': freq[11], '13': freq[12], '14': freq[13],

            '15': freq[14], '16': freq[15], '17': freq[16], '18': freq[17], '19': freq[18], '20': freq[19], }

    interval = list(data.keys())

    frequency = list(data.values())

    fig = plt.figure(figsize=(10, 5))

    plt.bar(interval, frequency, color='blue', width=0.4)

    plt.show()

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