mdlAufgabengeneratoren/aufgabengenerator_brueche_addieren_gleichnamig_v5-1.py

import xml.etree.ElementTree as ET
import random
from math import gcd

def create_cloze_question(name, questiontext, correct_answers, wrong_answers, feedback, tags):
    question = ET.Element('question', attrib={'type': 'cloze'})

    name_elem = ET.SubElement(question, 'name')
    text_elem = ET.SubElement(name_elem, 'text')
    text_elem.text = name

    questiontext_elem = ET.SubElement(question, 'questiontext', attrib={'format': 'html'})
    text_elem = ET.SubElement(questiontext_elem, 'text')

    # Erstelle die Tabelle für die Lücken
    cloze_text = "<table style='border-collapse: collapse;'>"
    cloze_text += "<tr>"
    cloze_text += f"<td style='border-bottom: 1px solid black; padding: 5px;'>Zähler: {{1:SHORTANSWER:={correct_answers[0]}~%0%{wrong_answers[0][0]}#{wrong_answers[0][1]}}}</td>"
    cloze_text += "</tr>"
    cloze_text += "<tr>"
    cloze_text += f"<td style='padding: 5px;'>Nenner: {{1:SHORTANSWER:={correct_answers[1]}~%0%{wrong_answers[1][0]}#{wrong_answers[1][1]}}}</td>"
    cloze_text += "</tr>"

    # Prüfe, ob der Bruch gekürzt werden kann
    if gcd(correct_answers[0], correct_answers[1]) > 1:
        common_divisor = gcd(correct_answers[0], correct_answers[1])
        reduced_numerator = correct_answers[0] // common_divisor
        reduced_denominator = correct_answers[1] // common_divisor
        
        cloze_text += "<tr>"
        cloze_text += f"<td style='border-bottom: 1px solid black; padding: 5px;'>Gekürzter Zähler: {{1:SHORTANSWER:={reduced_numerator}~%0%{wrong_answers[2][0]}#{wrong_answers[2][1]}}}</td>"
        cloze_text += "</tr>"
        cloze_text += "<tr>"
        cloze_text += f"<td style='padding: 5px;'>Gekürzter Nenner: {{1:SHORTANSWER:={reduced_denominator}~%0%{wrong_answers[3][0]}#{wrong_answers[3][1]}}}</td>"
        cloze_text += "</tr>"

    cloze_text += "</table>"

    # Füge die Frage hinzu
    text_elem.text = questiontext + " " + cloze_text

    generalfeedback_elem = ET.SubElement(question, 'generalfeedback', attrib={'format': 'html'})
    text_elem = ET.SubElement(generalfeedback_elem, 'text')
    
    # Musterlösung im LaTeX-Format
    if gcd(correct_answers[0], correct_answers[1]) > 1:
        solution = f"Die Musterlösung ist: \\( \\Large \\displaystyle \\frac{{{reduced_numerator}}}{{{reduced_denominator}}} \\)."
    else:
        solution = f"Die Musterlösung ist: \\( \\Large \\displaystyle \\frac{{{correct_answers[0]}}}{{{correct_answers[1]}}} \\)." 

    text_elem.text = solution

    defaultgrade_elem = ET.SubElement(question, 'defaultgrade')
    defaultgrade_elem.text = '1.0000000'

    penalty_elem = ET.SubElement(question, 'penalty')
    penalty_elem.text = '0.3333333'

    hidden_elem = ET.SubElement(question, 'hidden')
    hidden_elem.text = '0'

    # Tags hinzufügen
    tags_elem = ET.SubElement(question, 'tags')
    for tag in tags:
        tag_elem = ET.SubElement(tags_elem, 'tag')
        text_elem = ET.SubElement(tag_elem, 'text')
        text_elem.text = tag

    return question

def create_quiz(questions):
    quiz = ET.Element('quiz')
    for q in questions:
        quiz.append(q)
    return quiz

def save_to_file(xml_element, filename):
    tree = ET.ElementTree(xml_element)
    with open(filename, 'wb') as f:
        tree.write(f, encoding='utf-8', xml_declaration=True)

questions = []

# Generiere n Aufgaben zur Addition und Subtraktion von gleichnamigen Brüchen
n = 20
for i in range(1, (n+1)):
    # Zähler und Nenner generieren
    denominator = random.randint(2, 20)  # Nenner zwischen 2 und 20
    numerator1 = random.randint(1, 200)  # Zähler zwischen 1 und 200
    numerator2 = random.randint(1, 200)  # Zähler zwischen 1 und 200
    numerator3 = random.randint(1, 200)  # Zähler zwischen 1 und 200

    operations = random.choice(["+ +", "+ -", "- +", "- -"])  # Zufällige Operationen
    if operations == "+ +":
        result_numerator = numerator1 + (numerator2 + numerator3)
    elif operations == "+ -":
        result_numerator = numerator1 + (numerator2 - numerator3)
    elif operations == "- +":
        result_numerator = numerator1 - (numerator2 + numerator3)
    else:
        result_numerator = numerator1 - (numerator2 - numerator3)

    # Prüfe, ob der Bruch gekürzt werden kann
    needs_reduction = gcd(result_numerator, denominator) > 1

    # Frage im LaTeX-Format
    questiontext = f"<p>Berechne und kürze das Ergebnis, wenn möglich:</p> <p> \\( \\Large \\displaystyle \\frac{{{numerator1}}}{{{denominator}}} {operations[0]} \\left(\\frac{{{numerator2}}}{{{denominator}}} {operations[2]} \\frac{{{numerator3}}}{{{denominator}}}\\right) = \\) </p>"

    # Antworten
    correct_answers = [result_numerator, denominator]
    if needs_reduction:
        common_divisor = gcd(result_numerator, denominator)
        reduced_numerator = result_numerator // common_divisor
        reduced_denominator = denominator // common_divisor
        
        correct_answers.extend([reduced_numerator, reduced_denominator])  # Füge gekürzte Antworten hinzu
        
        wrong_answers = [
            (result_numerator + random.randint(1, 5), "Dieser Zähler ist zu hoch."),  # Falscher Zähler
            (result_numerator - random.randint(1, 5), "Dieser Zähler ist zu niedrig."),  # Falscher Zähler
            (reduced_numerator + random.randint(1, 3), "Dieser gekürzte Zähler ist nicht korrekt."),  # Falscher gekürzter Zähler
            (reduced_denominator - random.randint(1, 3), "Dieser gekürzte Nenner ist nicht korrekt.")  # Falscher gekürzter Nenner
        ]
    else:
        wrong_answers = [
            (result_numerator + random.randint(1, 5), "Dieser Zähler ist zu hoch."),  # Falscher Zähler
            (result_numerator - random.randint(1, 5), "Dieser Zähler ist zu niedrig.")  # Falscher Zähler
        ]

    feedback = "Richtig! Die Lösung ist korrekt."

    # Frage erstellen und hinzufügen
    questions.append(create_cloze_question(
        f"Addition/Subtraktion von 3 Brüchen {i}",
        questiontext,
        correct_answers,
        wrong_answers,
        feedback,
        ["Mathematik", "Brüche", "Addition", "Subtraktion"]
    ))

# Erstelle das Quiz
quiz = create_quiz(questions)

# Speichere die XML-Datei
save_to_file(quiz, 'cloze_fraction_addition_subtraction_quiz.xml')

print("Moodle-XML-Datei 'cloze_fraction_addition_subtraction_quiz.xml' erfolgreich erstellt.")