import math


def Q_statistik():
    with open('Text.txt', 'r', encoding='utf-8') as file:
        text = file.read()

    freq = {}
    for char in text:
        if char in freq:
            freq[char] += 1
        else:
            freq[char] = 1

    total_chars = sum(freq.values())

    prob = {}
    info_content = {}
    entropy = 0

    for char, count in freq.items():
        prob[char] = count / total_chars
        info_content[char] = -math.log2(prob[char])
        entropy += prob[char] * info_content[char]

    return freq, prob, info_content, entropy


def main():
    frequencies, probabilities, information_content, entropy = Q_statistik()
    print("Häufigkeiten:", frequencies)
    print("Wahrscheinlichkeiten:", probabilities)
    print("Informationsgehalt:", information_content)
    print("Entropie:", entropy)


if __name__ == '__main__':
        main()