From 03cbb37cafae04e198e7826c2507023c1ab7483f Mon Sep 17 00:00:00 2001
From: = <=>
Date: Mon, 23 Dec 2024 15:59:15 +0400
Subject: [PATCH] =?UTF-8?q?6=20=D0=BB=D0=B0=D0=B1=D0=B0=20=D0=B1=D0=B5?=
 =?UTF-8?q?=D0=B7=20=D1=80=D0=B8=D0=B4=D0=BC=D0=B8?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 karamushko_maxim_lab_6/main.py | 83 ++++++++++++++++++++++++++++++++++
 1 file changed, 83 insertions(+)
 create mode 100644 karamushko_maxim_lab_6/main.py

diff --git a/karamushko_maxim_lab_6/main.py b/karamushko_maxim_lab_6/main.py
new file mode 100644
index 0000000..6772d13
--- /dev/null
+++ b/karamushko_maxim_lab_6/main.py
@@ -0,0 +1,83 @@
+import random
+import time
+import multiprocessing
+
+# Генерация матрицы
+def generate_matrix(size):
+    return [[random.randint(0, 10) for _ in range(size)] for _ in range(size)]
+
+# Вычисление определителя матрицы (рекурсивно)
+def determinant(matrix):
+    size = len(matrix)
+    if size == 2:
+        return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]
+    
+    det = 0
+    for col in range(size):
+        submatrix = [row[:col] + row[col+1:] for row in matrix[1:]]
+        det += ((-1) ** col) * matrix[0][col] * determinant(submatrix)
+    return det
+
+# Вычисление детерминанта параллельно
+def determinant_parallel(matrix, num_processes):
+    size = len(matrix)
+    if size <= 2:
+        return determinant(matrix)
+    
+    # Разбиение задачи по строкам на несколько потоков
+    chunk_size = size // num_processes
+    chunks = []
+    
+    # Создание задач для потоков
+    for i in range(num_processes):
+        start_row = i * chunk_size
+        end_row = (i + 1) * chunk_size if i < num_processes - 1 else size
+        chunks.append((matrix[start_row:end_row], i))
+    
+    with multiprocessing.Pool(processes=num_processes) as pool:
+        results = pool.starmap(determinant_calculate_chunk, [(matrix, chunk[0], chunk[1]) for chunk in chunks])
+    
+    det = sum(results)
+    return det
+
+# Вычисление детерминанта для части матрицы в одном процессе
+def determinant_calculate_chunk(matrix, chunk, chunk_index):
+    size = len(matrix)
+    det = 0
+    for row in chunk:
+        for col in range(size):
+            submatrix = [r[:col] + r[col+1:] for r in matrix[1:]]
+            det += ((-1) ** (chunk_index + col)) * matrix[0][col] * determinant(submatrix)
+    return det
+
+# Замер времени 
+def measure(size, num_processes=1):
+    matrix = generate_matrix(size)
+
+    start_time = time.time()
+    determinant_parallel(matrix, num_processes)
+    par_time = time.time() - start_time
+
+    return par_time
+
+def main():
+    # Размеры матриц
+    matrix_sizes = [9, 10, 11]
+    # Количество потоков
+    num_processes_list = [1, 2, 4, 6, 8]
+    # Таблица с замерами времени
+    print("-*" * 40)
+    print(f"{'Количество потоков':<20}{'|9x9 (сек.)':<20}{'|10x10 (сек.)':<20}{'|11x11 (сек.)'}")
+    print("-*" * 40)
+    
+    for num_processes in num_processes_list:
+        row = f"{num_processes:<20}"
+        
+        for size in matrix_sizes:
+            par_time = measure(size, num_processes)
+            row += f"|{par_time:.4f}".ljust(20)
+        print(row)
+        print("-*" * 40)
+
+if __name__ == "__main__":
+    main()
\ No newline at end of file