From 880d3591580bff1301fdad29716713d0f2cd5fa1 Mon Sep 17 00:00:00 2001 From: a-shdv Date: Sat, 23 Dec 2023 19:56:19 +0400 Subject: [PATCH] Add lab6 --- shadaev_anton_lab_6/README.md | 27 ++++++++++++++++ shadaev_anton_lab_6/img.png | Bin 0 -> 12903 bytes shadaev_anton_lab_6/img_1.png | Bin 0 -> 47135 bytes shadaev_anton_lab_6/img_2.png | Bin 0 -> 80643 bytes shadaev_anton_lab_6/main.py | 40 ++++++++++++++++++++++++ shadaev_anton_lab_6/screenshots/img.png | Bin 0 -> 68084 bytes 6 files changed, 67 insertions(+) create mode 100644 shadaev_anton_lab_6/README.md create mode 100644 shadaev_anton_lab_6/img.png create mode 100644 shadaev_anton_lab_6/img_1.png create mode 100644 shadaev_anton_lab_6/img_2.png create mode 100644 shadaev_anton_lab_6/main.py create mode 100644 shadaev_anton_lab_6/screenshots/img.png diff --git a/shadaev_anton_lab_6/README.md b/shadaev_anton_lab_6/README.md new file mode 100644 index 0000000..49b3e99 --- /dev/null +++ b/shadaev_anton_lab_6/README.md @@ -0,0 +1,27 @@ +# Лабораторная работа №6 +Цель: +1. Реализовать нахождение детерминанта квадратной матрицы. + +## Запуск +Запускаем скрипт `main.py`, вывод будет консольным. + +## Код: +![img.png](img.png) + +`determinant_block`: Эта функция принимает квадратный блок матрицы и использует функцию np.linalg.det из библиотеки NumPy для вычисления его детерминанта. + +![img_1.png](img_1.png) + +`determinant_parallel`: Эта функция осуществляет разбиение исходной матрицы на квадратные блоки, а затем применяет библиотеку multiprocessing для параллельного вычисления детерминантов блоков. Путем создания пула процессов, она разделяет матрицу на блоки и передает каждый блок в пул процессов для параллельного вычисления детерминанта. После этого результаты собираются и перемножаются для получения общего детерминанта матрицы. + +![img_2.png](img_2.png) + +В блоке `if __name__ == "__main__":` генерируется случайная матрица указанного размера, после чего функция determinant_parallel вызывается с различным числом процессов (num_processes). Замеряется время выполнения для каждого размера матрицы и каждого количества процессов. Также проводится измерение времени выполнения для последовательного (однопоточного) вычисления детерминанта с использованием функции determinant_block. + +# Работа программы + +Вывод: + +![img.png](screenshots/img.png) + +Из полученных результатов видно, что реализованный алгоритм не проявляет эффективность при использовании различного числа потоков для указанных размеров матрицы. 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