From d3c914ad38348be81d2d96f2c6ea769e37aa92f6 Mon Sep 17 00:00:00 2001 From: DmitriyAntonov Date: Tue, 5 Dec 2023 13:01:36 +0400 Subject: [PATCH] antonov_dmitry_lab_5_ready --- antonov_dmitry_lab_5/README.md | 91 +++++++++++++++++++++ antonov_dmitry_lab_5/benchmark.py | 12 +-- antonov_dmitry_lab_5/screens/img.png | Bin 0 -> 25713 bytes antonov_dmitry_lab_5/screens/img_1.png | Bin 0 -> 69395 bytes antonov_dmitry_lab_5/screens/img_2.png | Bin 0 -> 57105 bytes antonov_dmitry_lab_5/screens/img_3.png | Bin 0 -> 64675 bytes antonov_dmitry_lab_5/templates/index.html | 6 +- antonov_dmitry_lab_5/templates/result.html | 8 +- 8 files changed, 104 insertions(+), 13 deletions(-) create mode 100644 antonov_dmitry_lab_5/README.md create mode 100644 antonov_dmitry_lab_5/screens/img.png create mode 100644 antonov_dmitry_lab_5/screens/img_1.png create mode 100644 antonov_dmitry_lab_5/screens/img_2.png create mode 100644 antonov_dmitry_lab_5/screens/img_3.png diff --git a/antonov_dmitry_lab_5/README.md b/antonov_dmitry_lab_5/README.md new file mode 100644 index 0000000..dc87597 --- /dev/null +++ b/antonov_dmitry_lab_5/README.md @@ -0,0 +1,91 @@ +# Лабораторная работа №5 - Вспоминаем математику или параллельное перемножение матриц + +Изучение параллельного умножения матриц + +# Задачи + +Кратко: реализовать умножение двух больших квадратных матриц. + +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 умножение элементов матрицы в рамках своей зоны ответственности. + +Сделать несколько бенчмарков последовательного и параллельного алгоритма на умножение двух матриц +размером 100x100, 300x300, 500x500 элементов. +# Запуск + +Проект запускается в ide просто по нажатию у питон файла на функцию мейн. +Нужно последовательно запустить функцию мейн у файлов simple_app.py, benchmark.py. + +# Описание работы: +Развернули два приложения + +1. Приложение 1 - веб приложение для умножения матриц +2. Приложение 2 - консольное приложение для сравнения эффективности работы алгоритмов. + +Первое приложение дает нам возможность умножить матрицы, получить результат в интерактивном режиме +с указанием используемого алгоритма и с указанием размера матрицы. +В программе предусмотрена возможность задания количества процессов для распараллеливания. +Используется библиотека python multiprocessing. + +На рис 3 видно, что с использованием параллельного алгоритма скорость обработки увеличивается довольно +существенно. Но оптимальная скорость достигается при кол-ве потоков = кол-ву потоков процессора +У меня их 16. + +

+

Форма веб приложения для указания парметров умножения матриц
+ +

+

+

Результат умножения в интерактивном режиме
+ +

+

+

Сравнение бенчмарков
+ +

+

+

Параллельное умножение в коде
+ +

+ +* Время обычное: 0.43517565727233887 с +* Размер матрицы: 100x100 +* Время обычное: 11.15409231185913 с +* Размер матрицы: 300x300 +* Время обычное: 53.64867091178894 с +* Размер матрицы: 500x500 +* Размер матрицы: 100x100 +* Время параллельное: 0.582118034362793 с +* Потоков: 2 +* Размер матрицы: 300x300 +* Время параллельное: 6.083630800247192 с +* Потоков: 2 +* Размер матрицы: 500x500 +* Время параллельное: 26.892888069152832 с +* Потоков: 2 +* Размер матрицы: 100x100 +* Время параллельное: 0.9034981727600098 с +* Потоков: 16 +* Размер матрицы: 300x300 +* Время параллельное: 2.9237937927246094 с +* Потоков: 16 +* Размер матрицы: 500x500 +* Время параллельное: 10.55041241645813 с +* Потоков: 16 +* Размер матрицы: 100x100 +* Время параллельное: 1.5674595832824707 с +* Потоков: 32 +* Размер матрицы: 300x300 +* Время параллельное: 4.185227394104004 с +* Потоков: 32 +* Размер матрицы: 500x500 +* Время параллельное: 11.912990808486938 с +* Потоков: 32 + + + +# Ссылка на видео +https://disk.yandex.ru/i/I_1oUuNTveYUdg + diff --git a/antonov_dmitry_lab_5/benchmark.py b/antonov_dmitry_lab_5/benchmark.py index 1d4db87..ca0a66f 100644 --- a/antonov_dmitry_lab_5/benchmark.py +++ b/antonov_dmitry_lab_5/benchmark.py @@ -66,13 +66,13 @@ def benchmark_parallel(size, num_threads): if __name__ == "__main__": - sizes = [300] + sizes = [100, 300, 500] threads = [2, 16, 32] - # - # for size in sizes: - # sequential_time = benchmark_sequential(size) - # print(f"Время обычное: {sequential_time} с") - # print(f"Размер матрицы: {size}x{size}") + + for size in sizes: + sequential_time = benchmark_sequential(size) + print(f"Время обычное: {sequential_time} с") + print(f"Размер матрицы: {size}x{size}") for thread in threads: for size in sizes: diff --git a/antonov_dmitry_lab_5/screens/img.png b/antonov_dmitry_lab_5/screens/img.png new file mode 100644 index 0000000000000000000000000000000000000000..ba5b28ad2cf663da0dacbcf45c075f49ce598d08 GIT binary patch literal 25713 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znijdE?FJ0#)4@5wglL9WyWY0Q$uB)NaS^dOuf6n6EL|CwkkxF}p$#jAftVK9fvWLk zMW>Cyh9D$kL^kcqm~_C*+FapWa(9AZjAX&x_BNkvi`DwRb9ctlUi3pNB3$C15V@M`X~WjoI*eYnYeCwh#vo%~=w`@O}D zCr^ElxX;5T{xbucKm+xXPTc{bt7V;he^g+?o#y46Xs9@WEy63(>u~$HgZC!^%R7)f z+_LGWgU%jXABURVB7uN&+Jsv=Aq~zs-TWfO#m#fSv9U@bS+ckQn_-gHF~JSlSAXp1 zU-S|BXwjkdw@mKRM2R@74ij}sr!ryYkxxBIjJ&+JMhhKlw{rXX<4YyIdjyF&jIct8 zyroCN!)U1j*y45vxw?`K2CGkBg1JyoSi%8Rz(_iIdVg={0chRG2X1vfCfvr*fA+&r z&_)~*gFmyGWjh@<)~Hh9Y@B$Fy0vS6Odt0O0 - Matrix Multiplication + Умножение матриц -

Matrix Multiplication

+

Умножение матриц

- +
diff --git a/antonov_dmitry_lab_5/templates/result.html b/antonov_dmitry_lab_5/templates/result.html index 74775bd..23bdc89 100644 --- a/antonov_dmitry_lab_5/templates/result.html +++ b/antonov_dmitry_lab_5/templates/result.html @@ -4,15 +4,15 @@ - Matrix Multiplication Result + Результат

Результат

-

Matrix A:

+

Матрица A:

{{ matrix_a }}
-

Matrix B:

+

Матрица B:

{{ matrix_b }}
-

Result:

+

Результат:

{{ result }}
Назад