From 04fddac7106679e0409fd3a5af558731f0eb94f2 Mon Sep 17 00:00:00 2001 From: Eugene Kazakov <solo7602@mail.ru> Date: Mon, 18 Dec 2023 12:24:13 +0300 Subject: [PATCH] lab6 --- tasks/kazakov-ev/lab_6/1.png | Bin 0 -> 56529 bytes tasks/kazakov-ev/lab_6/2.png | Bin 0 -> 18335 bytes tasks/kazakov-ev/lab_6/3.png | Bin 0 -> 18522 bytes tasks/kazakov-ev/lab_6/4.png | Bin 0 -> 18168 bytes tasks/kazakov-ev/lab_6/README.md | 30 +++++++++++++++ tasks/kazakov-ev/lab_6/algo.py | 61 +++++++++++++++++++++++++++++++ 6 files changed, 91 insertions(+) create mode 100644 tasks/kazakov-ev/lab_6/1.png create mode 100644 tasks/kazakov-ev/lab_6/2.png create mode 100644 tasks/kazakov-ev/lab_6/3.png create mode 100644 tasks/kazakov-ev/lab_6/4.png create mode 100644 tasks/kazakov-ev/lab_6/README.md create mode 100644 tasks/kazakov-ev/lab_6/algo.py diff --git a/tasks/kazakov-ev/lab_6/1.png b/tasks/kazakov-ev/lab_6/1.png new file mode 100644 index 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z?%Ah{IPYy!2M#w`<tTW}o_kgQL04*jrhM4e$f;SLF8>7_*p)=4yzo6^<-0#aa$=q2 zs<ddExEbE3bvGY~Rl2hxRZZ>|`!adfg`Z#Y-ZK0dwBhxqHD)dGv!{If^~W{agK^#c z*ZbGyxNn$uw5NNQ_wjE@qAg!%UaG6xwYAy&#^HuF-RJ(ysJhgj-1Fx6>R+3m)x4Og z9b(b5Y-){&PEqEbFEOz@OnA1P(GUH~Z+xaaB=%5d$n=|AZ@VRHd|Ma#GvwaC)uyY@ zot(bf{|Hao?9GjppFSFWsCu}-;a#3(!L)|0vCD7oxwQMz#NDE90xSogLDyfGd!IPz zyYT<3N}ZMojW2>h3$<I$t7c}xR+)dE0N+l0DG@Gu4z%<-UgVdc1II7dHK5V_66Od0 anNR&(_e$dKO?TjFH4L7velF{r5}E+toPv%3 literal 0 HcmV?d00001 diff --git a/tasks/kazakov-ev/lab_6/README.md b/tasks/kazakov-ev/lab_6/README.md new file mode 100644 index 0000000..58248ac --- /dev/null +++ b/tasks/kazakov-ev/lab_6/README.md @@ -0,0 +1,30 @@ +# Отчет по лабораторной работе №6 + +Выполнил студент гр. ИСЭбд-41 Казаков Е.В. + +## Создание приложения + +Выбрал язык Pythone. + +Приложение на вход получает кол-во поток, далее у нас происходит последовательный расчет детерминанта. После чего выводит всё в консоль + + + + +## Бенчмарки + +Протестируем обычный и параллельный алгоритм матрицах 100х100, 300х300 и 500х500. + +Матрицы 100х100 + + + +Матрицы 300х300 + + + +Матрицы 500х500 + + + +Вывод: Чем больше у нас кол-во данных, тем разница между параллельным и последовательных становится меньше Как видно из скриншотов для матрицы 500x500 параллельный алгоритм завершил быстрее чем, последовательный. \ No newline at end of file diff --git a/tasks/kazakov-ev/lab_6/algo.py b/tasks/kazakov-ev/lab_6/algo.py new file mode 100644 index 0000000..435dfd7 --- /dev/null +++ b/tasks/kazakov-ev/lab_6/algo.py @@ -0,0 +1,61 @@ +import numpy as np +import time +from multiprocessing import Pool + +def determinant(matrix): + return np.linalg.det(matrix) + +def parallel_determinant(matrix, num_threads): + size = matrix.shape[0] + step = size // num_threads + pool = Pool(processes=num_threads) + blocks = [] + for i in range(0, size, step): + blocks.append(matrix[i:i+step, i:i+step]) + dets = pool.map(determinant, blocks) + return np.prod(dets) + +def benchmark(num_threads): + matrix1 = np.random.rand(100, 100) + start_time = time.time() + det1 = determinant(matrix1) + end_time = time.time() + execution_time = end_time - start_time + print("Матрица 100x100:", matrix1) + print("Детерминант матрицы 100x100:", det1) + print("Последовательное время выполнения:", execution_time, "сек") + start_time = time.time() + detp1 = parallel_determinant(matrix1, num_threads) + end_time = time.time() + execution_time = end_time - start_time + print("Пареллельное время выполнения:", execution_time, "сек") + matrix2 = np.random.rand(300, 300) + start_time = time.time() + det2 = determinant(matrix2) + end_time = time.time() + execution_time = end_time - start_time + print("Матрица 300x300:", matrix2) + print("Детерминант матрицы 300x300:", det2) + print("Последовательное время выполнения:", execution_time, "сек") + start_time = time.time() + detp2 = parallel_determinant(matrix2, num_threads) + end_time = time.time() + execution_time = end_time - start_time + print("Пареллельное время выполнения:", execution_time, "сек") + matrix3 = np.random.rand(500, 500) + det3 = determinant(matrix3) + end_time = time.time() + execution_time = end_time - start_time + print("Матрица 500x500:", matrix3) + print("Детерминант матрицы 500x500:", det3) + print("Последовательное время выполнения:", execution_time, "сек") + start_time = time.time() + detp3 = parallel_determinant(matrix3, num_threads) + end_time = time.time() + execution_time = end_time - start_time + print("Пареллельное время выполнения:", execution_time, "сек") + +if __name__ == "__main__": + print("Введите кол-во поток") + n = int(input()) + benchmark(n) \ No newline at end of file