first commit

compute.py

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+import math
+from typing import List
+
+def matmul(matrix_a:List[List[float]], matrix_b:List[List[float]]) -> List[List[float]]:
+    """
+    calculates matrix multiplication with 2 matrices
+    :param matrix_a: the first matrix
+    :param matrix_b: the second matrix
+    :return: the product of 2 matrices
+    """
+    a_rows = len(matrix_a)
+    a_columns = len(matrix_a[0])
+    b_rows = len(matrix_b)
+    b_columns = len(matrix_b[0])
+    if not a_columns == b_rows:
+        raise ValueError("Matrices not valid")
+    result = []
+    for i in range(a_rows):
+        line = []
+        for j in range(b_columns):
+            elem = 0
+            for k in range(a_columns):
+                elem += matrix_a[i][k] * matrix_b[k][j]
+            line.append(elem)
+        result.append(line)
+    return result
+
+def transpose(matrix:List[List[int]]) -> List[List[int]]:
+    """
+    transposes the matrix
+    :param matrix: the matrix
+    :return: the transpose of the matrix
+    """
+    if not matrix:
+        raise ValueError("Matrices not valid")
+    rows = len(matrix)
+    cols = len(matrix[0])
+    #for i in matrix:
+     #   if rows != cols:
+      #      raise ValueError("Matrices not valid")
+    result = []
+    for i in range(cols):
+        line = []
+        for j in range(rows):
+            line.append(matrix[j][i])
+        result.append(line)
+    return result
+
+
+def rot_2D(angle: float) -> List[List[float]]:
+    rot_matrix = [[math.cos(angle), -math.sin(angle)],
+                  [math.sin(angle), math.cos(angle)]]
+    return rot_matrix
+
+
+if __name__ == "__main__":
+    matrix_a =  [    [3, 4, -1, 4],
+                    [-2, 2, 5, 1]
+                ]
+    matrix_b =  [   [1, 3, -2],
+                    [2, 5, 1],
+                    [-1, 4, -4],
+                    [2, 3, 6]
+                ]
+
+    matrix_c = matmul(matrix_a, matrix_b)
+    print("Ergebnis C = A * B:")
+    for row in matrix_c:
+        print(row)
+
+    matrix = [
+        [1, 2, 3],
+        [4, 5, 6]
+    ]
+    new_matrix = transpose(matrix)
+    print("transposed matrix:")
+    for row in new_matrix:
+        print(row)
+
+    #empty_matrix = []
+    #transpose(empty_matrix)
+
+    theta = math.pi / 2
+    R = rot_2D(theta)
+    print("Rotatiosnmatrix für 90 Grad:")
+    print(R)
+
+    p = [[1, 0]]
+    rotated = matmul(p, R)
+    print("rotated matrix:")
+    print(rotated)
+