init

compute.py

@@ -0,0 +1,82 @@
+from typing import List
+import math
+from tabulate import tabulate
+Matrix = List[List[float]]
+
+def matmul(Matrix_1: Matrix, Matrix_2: Matrix) -> Matrix:
+    """Multipliziert zwei Matrizen."""
+    HeightA = len(Matrix_1)
+    HeightB = len(Matrix_2)
+
+    if HeightA == 0 or HeightB == 0:
+        raise ValueError("Matrizen dürfen nicht leer sein")
+
+    WidthA = len(Matrix_1[0])
+    WidthB = len(Matrix_2[0])
+
+    if WidthA != HeightB:
+        raise ValueError("Multiplikation der Matrizen nicht zulässig (Spalten A != Zeilen B)")
+
+
+    Matrix_3 = [[0.0 for _ in range(WidthB)] for _ in range(HeightA)]
+
+
+    for i in range(HeightA):
+        for j in range(WidthB):
+            for k in range(WidthA):
+                Matrix_3[i][j] += Matrix_1[i][k] * Matrix_2[k][j]
+
+    return Matrix_3
+
+
+def transpose(matrix: Matrix) -> Matrix:
+    """Transponiert eine Matrix."""
+    if not matrix:
+        raise ValueError("Matrix darf nicht leer sein")
+
+    rows = len(matrix)
+    cols = len(matrix[0])
+
+    if not all(len(row) == cols for row in matrix):
+        raise ValueError("Matrix hat ungleichmäßige Zeilenlängen")
+
+
+    transposed_matrix = [[0.0 for _ in range(rows)] for _ in range(cols)]
+
+    for i in range(rows):
+        for j in range(cols):
+            transposed_matrix[j][i] = matrix[i][j]
+
+    return transposed_matrix
+
+
+def rot_2D(angle_degrees: float) -> Matrix:
+    """Erstellt eine 2D-Rotationsmatrix für den gegebenen Winkel (in Grad)."""
+    angle_radians = math.radians(angle_degrees)
+    cos_theta = math.cos(angle_radians)
+    sin_theta = math.sin(angle_radians)
+
+    rotation_matrix = [
+        [cos_theta, -sin_theta],
+        [sin_theta, cos_theta]
+    ]
+    return rotation_matrix
+
+
+
+if __name__ == "__main__":
+    A = [[1, 2], [3, 4]]
+    B = [[2, 0], [1, 2]]
+
+    print("Matrixmultiplikation:")
+    print(matmul(A, B))
+
+    print("\nTransponierte Matrix:")
+    print(transpose(A))
+
+    print("\nRotationsmatrix (45°):")
+    print(rot_2D(45))
+
+matrix= [[1,2,3], [2,3,4]]
+print("Matrix A:")
+print(tabulate(matrix))