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https://github.com/github/gitignore/blob/master/Global/macOS.gitignore +# General +.DS_Store +.AppleDouble +.LSOverride + +# Icon must end with two \r +Icon + + +# Thumbnails +._* + +# Files that might appear in the root of a volume +.DocumentRevisions-V100 +.fseventsd +.Spotlight-V100 +.TemporaryItems +.Trashes +.VolumeIcon.icns +.com.apple.timemachine.donotpresent + +# Directories potentially created on remote AFP share +.AppleDB +.AppleDesktop +Network Trash Folder +Temporary Items +.apdisk + +# content below from: https://github.com/github/gitignore/blob/master/Global/Windows.gitignore +# Windows thumbnail cache files +Thumbs.db +ehthumbs.db +ehthumbs_vista.db + +# Dump file +*.stackdump + +# Folder config file +[Dd]esktop.ini + +# Recycle Bin used on file shares +$RECYCLE.BIN/ + +# Windows Installer files +*.cab +*.msi +*.msix +*.msm +*.msp + +# Windows shortcuts +*.lnk + +# Vim temporary swap files +*.swp diff --git a/kuzarin_maxim_lab_5/Images/Resouts.png b/kuzarin_maxim_lab_5/Images/Resouts.png new file mode 100644 index 0000000..55ce812 Binary files /dev/null and b/kuzarin_maxim_lab_5/Images/Resouts.png differ diff --git a/kuzarin_maxim_lab_5/MatrixMultiplication.sln b/kuzarin_maxim_lab_5/MatrixMultiplication.sln new file mode 100644 index 0000000..7b9b107 --- /dev/null +++ b/kuzarin_maxim_lab_5/MatrixMultiplication.sln @@ -0,0 +1,25 @@ + +Microsoft Visual Studio Solution File, Format Version 12.00 +# Visual Studio Version 17 +VisualStudioVersion = 17.10.34916.146 +MinimumVisualStudioVersion = 10.0.40219.1 +Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "MatrixMultiplication", "MatrixMultiplication\MatrixMultiplication.csproj", "{EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Debug|Any CPU.Build.0 = Debug|Any CPU + {EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Release|Any CPU.ActiveCfg = Release|Any CPU + {EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {619485C2-FE35-496B-9E25-4F5465D0C1A1} + EndGlobalSection +EndGlobal diff --git a/kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj b/kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj new file mode 100644 index 0000000..2150e37 --- /dev/null +++ b/kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj @@ -0,0 +1,10 @@ + + + + Exe + net8.0 + enable + enable + + + diff --git a/kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs b/kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs new file mode 100644 index 0000000..2a5dc76 --- /dev/null +++ b/kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs @@ -0,0 +1,117 @@ + +using System.Diagnostics; +internal class Program +{ + private static string[] _resTableColumnsNames = new string[] { "m*m", "1 t", "2 t", "3 t", "4 t", "5 t", "6 t", "7 t", "8 t" }; + + private static void Main(string[] args) + { + Console.WriteLine(string.Join("\t", _resTableColumnsNames)); + + for (int i = 10; i < 10000; i *= 2) + { + var a = CreateMatrix(i, i); + var b = CreateMatrix(i, i); + + List times = new() { i }; + + for (int j = 1; j <= 8; j++) + { + var sw = new Stopwatch(); + sw.Start(); + + MultiplyMatrix(a, b, j); + + sw.Stop(); + times.Add(sw.ElapsedMilliseconds); + } + Console.WriteLine(string.Join("\t", times)); + } + } + + /// + /// Создаём матрицу случайных элементов + /// + /// + /// + /// + private static int[,] CreateMatrix(int x, int y) + { + var rnd = new Random(); + + var res = new int[y, x]; + + for (int i = 0; i < y; i++) + { + for (int j = 0; j < x; j++) + { + res[i, j] = rnd.Next(0, 100); + } + } + return res; + } + + /// + /// Вывести матрицу. Использовался при отладке + /// + /// + private static void PrintMatrix(int[,] mx) + { + for (int i = 0; i < mx.GetLength(0); i++) + { + for (int j = 0; j < mx.GetLength(1); j++) + { + Console.Write($"{mx[i, j].ToString("000")}\t"); + } + Console.WriteLine(); + } + } + + /// + /// Непосредственно умножение матриц + /// + /// + /// + /// + /// + private static int[,] MultiplyMatrix(int[,] a, int[,] b, int maxTask) + { + int[,] res = new int[a.GetLength(0), b.GetLength(1)]; + + var semaphore = new SemaphoreSlim(maxTask, maxTask); + + for (int i = 0; i < a.GetLength(0); i++) + { + for (int j = 0; j < b.GetLength(1); j++) + { + semaphore.Wait(); + int ci = i; + int cj = j; + _ = Task.Run(() => + { + try + { + res[ci, cj] = CalculateElement(a, b, ci, cj); + } + finally + { + semaphore.Release(); + } + }); + } + } + semaphore.Wait(maxTask); + return res; + } + + /// + /// Вычисление значение одного элемента + /// + /// + /// + /// + /// + /// + private static int CalculateElement(int[,] a, int[,] b, int i, int j) + => Enumerable.Range(0, a.GetLength(1)).Sum(k => a[i, k] * b[k, j]); +} \ No newline at end of file diff --git a/kuzarin_maxim_lab_5/README.md b/kuzarin_maxim_lab_5/README.md new file mode 100644 index 0000000..0fb394a --- /dev/null +++ b/kuzarin_maxim_lab_5/README.md @@ -0,0 +1,20 @@ +# Лабораторная работа 5 +Данная работа посвящена параллельному умножению больших матриц (чтобы это был побыстрее) +## Описание +Основной принцип умножения матриц: строки умножаются на столбцы, таким образом получаются элементы. И так как значения в строках/столбцах не меняется по ходу алгоритма, его достаточно легко можно распаралелить. + +## Запуск +Приложение представлет собой консольную программу на C#, которую можно скомпилировать и затем запустит exe файл. В результате в окне консоли появится таблица сравнения времени умножения 2-х квадратных матриц (размер указан в первой колонке) с использованием разного числа потоков(от 1 до 8). Чем больше размер, тем дольше будет идти расчёт. +## Результаты +Результаты одного из запусков программы представлены ниже. +
+![Resout](Images/Resouts.png) +
+Как можно заметить, на небольших размерах распаралеливание не приносит никакого выигрыша, а иногда даже удлиняет время работы. Это связана с тем, что работы с потоками (запуск, получение результата и т. п.) - требует дополнительного времени, а из-за малого числа операций в целом, получаем не прирост производительности, а её падение. +Противоположно обстоят дела в случае с большими матрицами. Так как там расчётов значительно больше, распаралеливание начинает значительно ускорять вычисление результата. Причём, часто можно видеть, что, например, увеличения числа потоков с 1 до 2 (в 2 раза) сокращает время в 2 раза. Но чем больше потоков, тем прирост меньше (так как вновь вступают в силу факторы, описанные ранее). И прирост производительности пусть и есть, но он очень небольшой. + +## Видеодемонстрация +Был записан видеоролик, демонстрирующий процесс запуска и работы системы. Он расположен по [адресу](https://drive.google.com/file/d/1dhA3JUAhhpDUh32xVW7jMuW1BKDX02eV/view?usp=sharing) + + +