From 604e96537dcd8e96d0679d3a9deacde52b3bd0a7 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=95=D0=B2=D0=B3=D0=B5=D0=BD=D0=B8=D0=B9=20=D0=A1=D0=B5?= =?UTF-8?q?=D1=80=D0=B3=D0=B5=D0=B5=D0=B2?= Date: Sat, 13 Jan 2024 19:19:56 +0400 Subject: [PATCH 1/2] init --- sergeev_evgenii_lab_6/README.md | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 sergeev_evgenii_lab_6/README.md diff --git a/sergeev_evgenii_lab_6/README.md b/sergeev_evgenii_lab_6/README.md new file mode 100644 index 0000000..e69de29 -- 2.25.1 From 4c907b0556c3ae7962ac2cc3f3acddf92b99e986 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=95=D0=B2=D0=B3=D0=B5=D0=BD=D0=B8=D0=B9=20=D0=A1=D0=B5?= =?UTF-8?q?=D1=80=D0=B3=D0=B5=D0=B5=D0=B2?= Date: Mon, 22 Jan 2024 02:23:54 +0400 Subject: [PATCH 2/2] done! --- sergeev_evgenii_lab_6/README.md | 32 ++++++++++++++ sergeev_evgenii_lab_6/images/img.png | Bin 0 -> 45296 bytes sergeev_evgenii_lab_6/images/img_1.png | Bin 0 -> 38174 bytes sergeev_evgenii_lab_6/images/img_2.png | Bin 0 -> 51963 bytes sergeev_evgenii_lab_6/matrix.py | 58 +++++++++++++++++++++++++ 5 files changed, 90 insertions(+) create mode 100644 sergeev_evgenii_lab_6/images/img.png create mode 100644 sergeev_evgenii_lab_6/images/img_1.png create mode 100644 sergeev_evgenii_lab_6/images/img_2.png create mode 100644 sergeev_evgenii_lab_6/matrix.py diff --git a/sergeev_evgenii_lab_6/README.md b/sergeev_evgenii_lab_6/README.md index e69de29..45434bb 100644 --- a/sergeev_evgenii_lab_6/README.md +++ b/sergeev_evgenii_lab_6/README.md @@ -0,0 +1,32 @@ +# Лабораторная работа №6 - Определение детерминанта матрицы с помощью параллельных вычислений + +Задание: + +Кратко: реализовать нахождение детерминанта квадратной матрицы. + +Подробно: в лабораторной работе требуется сделать два алгоритма: обычный и параллельный (задание со * - +реализовать это в рамках одного алгоритма). В параллельном алгоритме предусмотреть ручное задание количества потоков +(число потоков = 1 как раз и реализует задание со *), каждый из которых будет выполнять нахождение отдельной группы +множителей + +Сделать несколько бенчмарков последовательного и параллельного алгоритма поиска детерминанта матрицы размером +100x100, 300x300, 500x500 элементов. Отразить свои наблюдения в readme-отчете. + +Код: +![Alt text](images/img.png) + +Код: +![Alt text](images/img_1.png) + +Код: +![Alt text](images/img_2.png) + +Вывод: + +С увеличением количества потоков параллельный способ работает быстрее. 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fM5bPCuRA9>TlgpDjI`B=Hex0>zxMo|vXWphZ)2={ufQgIvDWN| zV-^ZIB{6Z4?H+5psPzcAZEb=G)BEwiET$mA%zZ<_(0h!tntx8o@EZGNQ+ zo#PCKQ;4g^)g06OGpwQpI-|vrH4NLnphz%rY#k=-?Q!M+3ub~hqhUj<>$ zq}i&3YjQ*VNf5%G5G|_sX^o}z=C9MnJ=EV7Ul`iY(7;5lC)V7h)b0O~eWQE3|No^u zouYQ$v%lCV6Mhyy zlYi1Vwr^70|3t_pg?>mvlz4AfSY`SC|4wq}dQ}UES&uH-n`I}rfOYQFJ=o*GXT zCpi^Zam-^$ix@kVJ=%qjwqWE%ZN#2Uz>O1gr^V2ef8E*lAq~j%PORF@2YMswMY9bB zm0EEw?>&2G`Q|t;9#UFDUz~mO2}U!hbAiG>6&QtuStX7|Mv{_3ojx5tG!2G(9`^nEKkhz|K!a_9Hp&1*H3ENAm=~u OA9dvyfNDjn(EkNuCt=M1 literal 0 HcmV?d00001 diff --git a/sergeev_evgenii_lab_6/matrix.py b/sergeev_evgenii_lab_6/matrix.py new file mode 100644 index 0000000..0dfbab3 --- /dev/null +++ b/sergeev_evgenii_lab_6/matrix.py @@ -0,0 +1,58 @@ +import numpy as np +import time +from concurrent.futures import ThreadPoolExecutor + + +def sequential_determinant(matrix): + return np.linalg.det(matrix) + + +def parallel_determinant(matrix, num_threads): + determinant = 1.0 + n = len(matrix) + + def calculate_partial_determinant(start, end): + nonlocal determinant + for i in range(start, end): + determinant *= matrix[i, i] + + with ThreadPoolExecutor(max_workers=num_threads) as executor: + chunk_size = n // num_threads + futures = [] + + for i in range(0, n, chunk_size): + start = i + end = min(i + chunk_size, n) + futures.append(executor.submit(calculate_partial_determinant, start, end)) + + # Wait for all threads to finish + for future in futures: + future.result() + + return determinant + + +def benchmark(matrix_size, num_threads=1): + matrix = np.random.rand(matrix_size, matrix_size) + + start_time = time.time() + sequential_result = sequential_determinant(matrix) + sequential_time = time.time() - start_time + + start_time = time.time() + parallel_result = parallel_determinant(matrix, num_threads) + parallel_time = time.time() - start_time + + return sequential_time, parallel_time + + +# Пример использования для матриц размером 100x100, 300x300, 500x500 элементов +matrix_sizes = [100, 300, 500] +num_threads = 1 # Указать желаемое количество потоков + +for size in matrix_sizes: + sequential_time, parallel_time = benchmark(size, num_threads) + print(f"Размер матрицы: {size}x{size}") + print(f"Время с последовательным выполнением: {sequential_time:.6f} секунд") + print(f"Время с параллельной обработкой ({num_threads} потоков): {parallel_time:.6f} секунд") + print("=" * 30) -- 2.25.1