# compute.py (relevante Funktionen)
from tabulate import tabulate

import math
from typing import List

Matrix = List[List[float]]

def rot_2D(theta: float) -> Matrix:
    cos_theta = math.cos(theta) 
    sin_theta = math.sin(theta)
    return [
        [cos_theta, -sin_theta],
        [sin_theta, cos_theta]
    ]

def matmul(a: Matrix, b: Matrix) -> Matrix:
    if len(a[0]) != len(b):
        raise ValueError("Spalten von A müssen gleich Zeilen von B sein.")
    result = [[0]*len(b[0]) for _ in range(len(a))]
    for i in range(len(a)):
        for j in range(len(b[0])):
            for k in range(len(b)):
                result[i][j] += a[i][k] * b[k][j]
    return result

if _name_ == "_main_":
    # habe ich alles selbst programmiert
    matrix_a = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
    print("Test Matrix A:")
    print(tabulate(matrix_a)) ##