diff --git a/tasks/zinoveva-ad/lab_6/.gitignore b/tasks/zinoveva-ad/lab_6/.gitignore new file mode 100644 index 0000000..104b544 --- /dev/null +++ b/tasks/zinoveva-ad/lab_6/.gitignore @@ -0,0 +1,484 @@ +## Ignore Visual Studio temporary files, build results, and +## files generated by popular Visual Studio add-ons. +## +## Get latest from `dotnet new gitignore` + +# dotenv files +.env + +# User-specific files +*.rsuser +*.suo +*.user +*.userosscache +*.sln.docstates + +# User-specific files (MonoDevelop/Xamarin Studio) +*.userprefs + +# Mono auto generated files +mono_crash.* + +# Build results +[Dd]ebug/ +[Dd]ebugPublic/ +[Rr]elease/ +[Rr]eleases/ +x64/ +x86/ +[Ww][Ii][Nn]32/ +[Aa][Rr][Mm]/ +[Aa][Rr][Mm]64/ +bld/ +[Bb]in/ +[Oo]bj/ +[Ll]og/ +[Ll]ogs/ + +# Visual Studio 2015/2017 cache/options directory +.vs/ +# Uncomment if you have tasks that create the project's static files in wwwroot +#wwwroot/ + +# Visual Studio 2017 auto generated files +Generated\ Files/ + +# MSTest test Results +[Tt]est[Rr]esult*/ +[Bb]uild[Ll]og.* + +# NUnit +*.VisualState.xml +TestResult.xml +nunit-*.xml + +# Build Results of an ATL Project +[Dd]ebugPS/ +[Rr]eleasePS/ +dlldata.c + +# Benchmark Results +BenchmarkDotNet.Artifacts/ + +# .NET +project.lock.json +project.fragment.lock.json +artifacts/ + +# Tye +.tye/ + +# ASP.NET Scaffolding +ScaffoldingReadMe.txt + +# StyleCop +StyleCopReport.xml + +# Files built by Visual Studio +*_i.c +*_p.c +*_h.h +*.ilk +*.meta +*.obj +*.iobj +*.pch +*.pdb +*.ipdb +*.pgc +*.pgd +*.rsp +*.sbr +*.tlb +*.tli +*.tlh +*.tmp +*.tmp_proj +*_wpftmp.csproj +*.log +*.tlog +*.vspscc +*.vssscc +.builds +*.pidb +*.svclog +*.scc + +# Chutzpah Test files +_Chutzpah* + +# Visual C++ cache files +ipch/ +*.aps +*.ncb +*.opendb +*.opensdf +*.sdf +*.cachefile +*.VC.db +*.VC.VC.opendb + +# Visual Studio profiler +*.psess +*.vsp +*.vspx +*.sap + +# Visual Studio Trace Files +*.e2e + +# TFS 2012 Local Workspace +$tf/ + +# Guidance Automation Toolkit +*.gpState + +# ReSharper is a .NET coding add-in +_ReSharper*/ +*.[Rr]e[Ss]harper +*.DotSettings.user + +# TeamCity is a build add-in +_TeamCity* + +# DotCover is a Code Coverage Tool +*.dotCover + +# AxoCover is a Code Coverage Tool +.axoCover/* +!.axoCover/settings.json + +# Coverlet is a free, cross platform Code Coverage Tool +coverage*.json +coverage*.xml +coverage*.info + +# Visual Studio code coverage results +*.coverage +*.coveragexml + +# NCrunch +_NCrunch_* +.*crunch*.local.xml +nCrunchTemp_* + +# MightyMoose +*.mm.* +AutoTest.Net/ + +# Web workbench (sass) +.sass-cache/ + +# Installshield output folder +[Ee]xpress/ + +# DocProject is a documentation generator add-in +DocProject/buildhelp/ +DocProject/Help/*.HxT +DocProject/Help/*.HxC +DocProject/Help/*.hhc +DocProject/Help/*.hhk +DocProject/Help/*.hhp +DocProject/Help/Html2 +DocProject/Help/html + +# Click-Once directory +publish/ + +# Publish Web Output +*.[Pp]ublish.xml +*.azurePubxml +# Note: Comment the next line if you want to checkin your web deploy settings, +# but database connection strings (with potential passwords) will be unencrypted +*.pubxml +*.publishproj + +# Microsoft Azure Web App publish settings. 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ИСЭбд-41 Зиновьева А. Д. + +## Создание приложения + +Было выбрано консольное приложение, язык программирования - c#. + +Обычный алгоритм: + +```cs +static double CalculateDeterminantSequential(int[,] matrix) +{ + int size = matrix.GetLength(0); + double determinant = 0; + + if (size == 1) + { + determinant = matrix[0, 0]; + } + else if (size == 2) + { + determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + for (int j = 0; j < size; j++) + { + determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j); + } + } + + return determinant; +} +``` +Параллельный алгоритм: + +```cs +static double CalculateDeterminantParallel(int[,] matrix, int threads) +{ + int size = matrix.GetLength(0); + double determinant = 0; + + if (size == 1) + { + determinant = matrix[0, 0]; + } + else if (size == 2) + { + determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, j => + { + determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j); + }); + } + + return determinant; +} +``` + +## Бенчмарки + +Для примера была взята матрица размерностью 10х10, поскольку для матриц больших размеров детерминант вычисляется слишком долго. + + +![](pic/pic1.jpg) + + +``Вывод``: Обычный (последовательный) алгоритм работает быстрее, если количество элементов не слишком много. Параллельный же алгоритм работает быстрее только при наличии большого количества операций и данных. \ No newline at end of file diff --git a/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6.sln b/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6.sln new file mode 100644 index 0000000..874de45 --- /dev/null +++ b/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6.sln @@ -0,0 +1,25 @@ + +Microsoft Visual Studio Solution File, Format Version 12.00 +# Visual Studio Version 17 +VisualStudioVersion = 17.8.34330.188 +MinimumVisualStudioVersion = 10.0.40219.1 +Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ConsoleAppLab6", "ConsoleAppLab6\ConsoleAppLab6.csproj", "{BB915677-B73E-45C7-85DD-F66D7FC9E97E}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Debug|Any CPU.Build.0 = Debug|Any CPU + {BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Release|Any CPU.ActiveCfg = Release|Any CPU + {BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {20D650BB-330E-48AD-8607-6220061D9FDE} + EndGlobalSection +EndGlobal diff --git a/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6/ConsoleAppLab6.csproj b/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6/ConsoleAppLab6.csproj new file mode 100644 index 0000000..2150e37 --- /dev/null +++ b/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6/ConsoleAppLab6.csproj @@ -0,0 +1,10 @@ + + + + Exe + net8.0 + enable + enable + + + diff --git a/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6/Program.cs b/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6/Program.cs new file mode 100644 index 0000000..1dca12e --- /dev/null +++ b/tasks/zinoveva-ad/lab_6/lab_6_implementation/ConsoleAppLab6/ConsoleAppLab6/Program.cs @@ -0,0 +1,215 @@ +using System; +using System.Diagnostics; +using System.Threading.Tasks; +class Program +{ + static void Main(string[] args) + { + Console.WriteLine("Выберите задание для выполнения:"); + //Console.WriteLine("1 - Нахождение детерминанта квадратной матрицы"); + Console.WriteLine("2 - Бенчмарки"); + string choice = Console.ReadLine(); + if (choice == "1") + { + //int threads = GetNumberOfThreads(); // Запрашиваем количество потоков у пользователя + //int matrixSize = 10; // Размер матрицы + //int[,] matrixA = GenerateRandomMatrix(matrixSize); + //int[,] matrixB = GenerateRandomMatrix(matrixSize); + + //Console.WriteLine("Выполняется обычное умножение матриц..."); + //Stopwatch stopwatch = Stopwatch.StartNew(); + //int[,] result1 = MultiplyMatrices(matrixA, matrixB, matrixSize); + //stopwatch.Stop(); + //Console.WriteLine($"Результат (обычное умножение матриц): \n {GetMatrixString(result1)}"); + //Console.WriteLine($"Время выполнения: {stopwatch.Elapsed.TotalSeconds} секунд \n"); + + //Console.WriteLine("Выполняется параллельное умножение матриц..."); + //stopwatch.Restart(); + //int[,] result2 = ParallelMultiplyMatrices(matrixA, matrixB, matrixSize, threads); + //stopwatch.Stop(); + //Console.WriteLine($"Результат (параллельное умножение матриц): \n {GetMatrixString(result2)}"); + //Console.WriteLine($"Время выполнения: {stopwatch.Elapsed.TotalSeconds} секунд \n"); + //Console.WriteLine("\nНажмите Enter, чтобы вернуться в главное меню..."); + //Console.ReadLine(); + } + else if (choice == "2") + { + int threads = GetNumberOfThreads(); // Запрашиваем количество потоков у пользователя + Console.WriteLine("\nВыполнение алгоритма по нахождению детерминанта квадратной матрицы размером 10x10:"); + RunDeterminantBenchmark(10, threads); + + Console.ReadLine(); + } + else + { + Console.WriteLine("Некорректный выбор."); + Console.WriteLine("\nНажмите Enter, чтобы вернуться в главное меню..."); + Console.ReadLine(); + } + Console.ReadLine(); + } + + static void RunDeterminantBenchmark(int size, int threads) + { + int[,] matrix = GenerateRandomMatrix(size); + + Console.WriteLine("Исходная матрица:"); + GetMatrixString(matrix); + + Stopwatch stopwatch = Stopwatch.StartNew(); + stopwatch.Restart(); + double sequentialDeterminant = CalculateDeterminantSequential(matrix); + stopwatch.Stop(); + Console.WriteLine($"Последовательное выполнение: детерминант = {sequentialDeterminant}, время выполнения = {stopwatch.Elapsed.TotalSeconds} секунд"); + + + stopwatch.Restart(); + double parallelDeterminant = CalculateDeterminantParallel(matrix, threads); + stopwatch.Stop(); + Console.WriteLine($"Параллельное выполнение: детерминант = {parallelDeterminant}, время выполнения = {stopwatch.Elapsed.TotalSeconds} секунд"); + + } + + static int[,] GenerateRandomMatrix(int size) + { + Random random = new Random(); + int[,] matrix = new int[size, size]; + + for (int i = 0; i < size; i++) + { + for (int j = 0; j < size; j++) + { + matrix[i, j] = random.Next(10); + } + } + + return matrix; + } + + static double CalculateDeterminantSequential(int[,] matrix) + { + int size = matrix.GetLength(0); + double determinant = 0; + + if (size == 1) + { + determinant = matrix[0, 0]; + } + else if (size == 2) + { + determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + for (int j = 0; j < size; j++) + { + determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j); + } + } + + return determinant; + } + + static double CalculateDeterminantParallel(int[,] matrix, int threads) + { + int size = matrix.GetLength(0); + double determinant = 0; + + if (size == 1) + { + determinant = matrix[0, 0]; + } + else if (size == 2) + { + determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, j => + { + determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j); + }); + } + + return determinant; + } + + static double CalculateMinor(int[,] matrix, int row, int col) + { + int size = matrix.GetLength(0); + int[,] minor = new int[size - 1, size - 1]; + + int minorRow = 0; + for (int i = 0; i < size; i++) + { + if (i == row) + { + continue; + } + + int minorCol = 0; + for (int j = 0; j < size; j++) + { + if (j == col) + { + continue; + } + + minor[minorRow, minorCol] = matrix[i, j]; + minorCol++; + } + + minorRow++; + } + + return CalculateDeterminantSequential(minor); + } + + static double MeasureExecutionTime(Action action) + { + Stopwatch stopwatch = new Stopwatch(); + stopwatch.Start(); + action(); + stopwatch.Stop(); + + return stopwatch.Elapsed.TotalSeconds; + } + + + static int GetNumberOfThreads() + { + int threads = 1; + Console.WriteLine("Введите количество потоков:"); + int.TryParse(Console.ReadLine(), out threads); + return threads; + } + + static void PrintMatrix(int[,] matrix) + { + int size = matrix.GetLength(0); + for (int i = 0; i < size; i++) + { + for (int j = 0; j < size; j++) + { + Console.Write(matrix[i, j] + " "); + } + Console.WriteLine(); + } + } + + static string GetMatrixString(int[,] matrix) + { + int rows = matrix.GetLength(0); + int columns = matrix.GetLength(1); + string matrixString = ""; + for (int i = 0; i < rows; i++) + { + for (int j = 0; j < columns; j++) + { + matrixString += matrix[i, j] + " "; + } + matrixString += "\n"; + } + return matrixString; + } +} \ No newline at end of file diff --git a/tasks/zinoveva-ad/lab_6/pic/pic1.jpg b/tasks/zinoveva-ad/lab_6/pic/pic1.jpg new file mode 100644 index 0000000..f03c938 Binary files /dev/null and b/tasks/zinoveva-ad/lab_6/pic/pic1.jpg differ