From 85147e526253a5ae6abd0ff85c35aa376243e684 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=90=D1=80=D1=82=D1=91=D0=BC=20=D0=90=D0=BB=D0=B5=D0=B9?= =?UTF-8?q?=D0=BA=D0=B8=D0=BD?= Date: Wed, 20 Nov 2024 15:52:45 +0400 Subject: [PATCH 1/2] aleikin_artem_lab_5 is ready --- .gitignore | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 .gitignore diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..865dabb --- /dev/null +++ b/.gitignore @@ -0,0 +1,17 @@ +################################################################################ +# Данный GITIGNORE-файл был автоматически создан Microsoft(R) Visual Studio. +################################################################################ + +/.vs +/aleikin_artem_lab_3 +/aleikin_artem_lab_4 +/aleikin_artem_lab_5/MultiplyMatrix/.vs/MultiplyMatrix +/aleikin_artem_lab_5/MultiplyMatrix/bin/Debug/net8.0 +/aleikin_artem_lab_5/MultiplyMatrix/obj +/aleikin_artem_lab_5/MultiplyMatrix/MultiplyMatrix.sln +/dozorova_alena_lab_2 +/dozorova_alena_lab_3 +/dozorova_alena_lab_4 +/dozorova_alena_lab_5/ConsoleApp1/obj +/dozorova_alena_lab_5/ConsoleApp1/obj/Debug/net6.0/.NETCoreApp,Version=v6.0.AssemblyAttributes.cs +/dozorova_alena_lab_6/ConsoleApp1/obj -- 2.25.1 From 664c94fb78f976b29f2e14bb1b0e3058c70e6ccb Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=90=D1=80=D1=82=D1=91=D0=BC=20=D0=90=D0=BB=D0=B5=D0=B9?= =?UTF-8?q?=D0=BA=D0=B8=D0=BD?= Date: Wed, 20 Nov 2024 15:52:50 +0400 Subject: [PATCH 2/2] aleikin_artem_lab_5 --- aleikin_artem_lab_5/Images/Отчет1.png | Bin 0 -> 62594 bytes aleikin_artem_lab_5/Images/Отчет2.png | Bin 0 -> 68355 bytes aleikin_artem_lab_5/Images/Отчет3.png | Bin 0 -> 35413 bytes .../MultiplyMatrix/MultiplyMatrix.csproj | 10 ++ aleikin_artem_lab_5/MultiplyMatrix/Program.cs | 99 ++++++++++++++++++ aleikin_artem_lab_5/readme.md | 16 +++ 6 files changed, 125 insertions(+) create mode 100644 aleikin_artem_lab_5/Images/Отчет1.png create mode 100644 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int[] sizes = { 100, 300, 500, 700, 1000 }; + + // Максимальное количество потоков + int maxThreads = 20; + + foreach (var size in sizes) + { + Console.WriteLine($"\nРазмер матрицы: {size}x{size}"); + + // Генерация двух матриц + var matrixA = GenerateMatrix(size); + var matrixB = GenerateMatrix(size); + + // Последовательное умножение + var stopwatch = Stopwatch.StartNew(); + var resultSequential = MultiplyMatricesSequential(matrixA, matrixB); + stopwatch.Stop(); + long timeSequential = stopwatch.ElapsedMilliseconds; + Console.WriteLine($"Последовательное умножение: {timeSequential} мс"); + + // Параллельное умножение с разным количеством потоков + Console.WriteLine("Параллельное умножение (время выполнения для каждого количества потоков):"); + for (int threads = 1; threads <= maxThreads; threads++) + { + stopwatch.Restart(); + var resultParallel = MultiplyMatricesParallel(matrixA, matrixB, threads); + stopwatch.Stop(); + long timeParallel = stopwatch.ElapsedMilliseconds; + Console.WriteLine($"Потоков: {threads} — {timeParallel} мс"); + } + } + } + + // Генерация квадратной матрицы размером size x size + static double[,] GenerateMatrix(int size) + { + var random = new Random(); + var matrix = new double[size, size]; + for (int i = 0; i < size; i++) + for (int j = 0; j < size; j++) + matrix[i, j] = random.NextDouble(); + return matrix; + } + + // Последовательное умножение матриц + static double[,] MultiplyMatricesSequential(double[,] matrixA, double[,] matrixB) + { + int size = matrixA.GetLength(0); + var result = new double[size, size]; + + for (int i = 0; i < size; i++) + { + for (int j = 0; j < size; j++) + { + for (int k = 0; k < size; k++) + { + result[i, j] += matrixA[i, k] * matrixB[k, j]; + } + } + } + return result; + } + + // Параллельное умножение матриц + static double[,] MultiplyMatricesParallel(double[,] matrixA, double[,] matrixB, int threadCount) + { + int size = matrixA.GetLength(0); + var result = new double[size, size]; + + Parallel.For(0, threadCount, threadIndex => + { + int rowsPerThread = size / threadCount; + int startRow = threadIndex * rowsPerThread; + int endRow = (threadIndex == threadCount - 1) ? size : startRow + rowsPerThread; + + for (int i = startRow; i < endRow; i++) + { + for (int j = 0; j < size; j++) + { + for (int k = 0; k < size; k++) + { + result[i, j] += matrixA[i, k] * matrixB[k, j]; + } + } + } + }); + + return result; + } +} diff --git a/aleikin_artem_lab_5/readme.md b/aleikin_artem_lab_5/readme.md new file mode 100644 index 0000000..8a04fdc --- /dev/null +++ b/aleikin_artem_lab_5/readme.md @@ -0,0 +1,16 @@ +# Лабораторная работа 5 - Параллельное умножение матриц +## ПИбд-42 || Алейкин Артем + +### Описание +В данной лабораторной работе мы вспоминали математику и работу с матрицами. + +### Отчет +Написав алгоритм для перемножения матриц, как последовательно, так и в многопоточном режиме, получаю следующие графики времени. +![Матрицы 100х100 и 300х300](./Images/Отчет1.png) +![Матрицы 500х500 и 700х700](./Images/Отчет2.png) +![Матрица 1000х1000](./Images/Отчет3.png) + +Выводы: последовательное выполнение выполняет вычисления довольно медленно. +В многопоточном формате каждый поток ускоряет вычисления по закону убывающей полезности. + +Видео демонстрации работы: https://vk.com/video248424990_456239612?list=ln-mPzeO3z06S0FiqGXsz \ No newline at end of file -- 2.25.1