antonov_dmitry_lab_6/parallel_determ.py

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+import random
+from multiprocessing import Pool
+import time
+
+
+def submatrix(matrix, row, col):
+    return [[matrix[i][j] for j in range(len(matrix[i])) if j != col] for i in range(len(matrix)) if i != row]
+
+
+def determinant(matrix):
+    size = len(matrix)
+
+    # Base case: determinant of a 1x1 matrix is the only element in it
+    if size == 1:
+        return matrix[0][0]
+
+    # Base case: determinant of a 2x2 matrix
+    if size == 2:
+        return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]
+
+    det = 0
+    for col in range(size):
+        det += ((-1) ** col) * matrix[0][col] * determinant(submatrix(matrix, 0, col))
+
+    return det
+
+
+def generate_random_matrix(size, lower_limit, upper_limit):
+    return [[random.uniform(lower_limit, upper_limit) for _ in range(size)] for _ in range(size)]
+
+
+def sequential_determinant_calculation(matrix_size, lower_limit, upper_limit):
+    random_matrix = generate_random_matrix(matrix_size, lower_limit, upper_limit)
+
+    start_time = time.time()
+    result = determinant(random_matrix)
+    end_time = time.time()
+
+    print(f"Sequential determinant: {result}")
+    print(f"Sequential time: {end_time - start_time} seconds")
+
+
+def parallel_determinant_calculation(matrix_size, lower_limit, upper_limit, num_processes):
+    random_matrix = generate_random_matrix(matrix_size, lower_limit, upper_limit)
+
+    matrices_to_process = [submatrix(random_matrix, 0, col) for col in range(matrix_size)]
+
+    start_time = time.time()
+    with Pool(processes=num_processes) as pool:
+        determinants = pool.map(determinant, matrices_to_process)
+
+    result = sum(((-1) ** col) * random_matrix[0][col] * det for col, det in enumerate(determinants))
+    end_time = time.time()
+
+    print(f"Parallel determinant: {result}")
+    print(f"Parallel time: {end_time - start_time} seconds")
+
+
+if __name__ == "__main__":
+    matrix_size = 10  # You can change this to the desired size of the matrix
+    lower_limit = 10  # You can change this to the lower limit of the random numbers
+    upper_limit = 1000  # You can change this to the upper limit of the random numbers
+    num_processes = 8  # You can change this to the desired number of parallel processes
+
+    # Sequential calculation
+    sequential_determinant_calculation(matrix_size, lower_limit, upper_limit)
+
+    # Parallel calculation
+    parallel_determinant_calculation(matrix_size, lower_limit, upper_limit, num_processes)
+