From 3afd35140d8af2349bee8ed47457e2386c169ec7 Mon Sep 17 00:00:00 2001 From: Savitskiy_ISEbd-41 Date: Sat, 16 Dec 2023 15:58:30 +0400 Subject: [PATCH] lab6 --- tasks/savitskiy-al/lab_6/.gitignore | 484 ++++++++++++++++++ .../lab_6/ConsoleApp1/ConsoleApp1.sln | 25 + .../ConsoleApp1/ConsoleApp1.csproj | 14 + .../ConsoleApp1/ConsoleApp1/MatrixService.cs | 110 ++++ .../lab_6/ConsoleApp1/ConsoleApp1/Program.cs | 83 +++ tasks/savitskiy-al/lab_6/README.md | 108 ++++ tasks/savitskiy-al/lab_6/pic/1.png | Bin 0 -> 74393 bytes tasks/savitskiy-al/lab_6/pic/2.png | Bin 0 -> 25686 bytes 8 files changed, 824 insertions(+) create mode 100644 tasks/savitskiy-al/lab_6/.gitignore create mode 100644 tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1.sln create mode 100644 tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/ConsoleApp1.csproj create mode 100644 tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/MatrixService.cs create mode 100644 tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/Program.cs create mode 100644 tasks/savitskiy-al/lab_6/README.md create mode 100644 tasks/savitskiy-al/lab_6/pic/1.png create mode 100644 tasks/savitskiy-al/lab_6/pic/2.png diff --git a/tasks/savitskiy-al/lab_6/.gitignore b/tasks/savitskiy-al/lab_6/.gitignore new file mode 100644 index 0000000..104b544 --- /dev/null +++ b/tasks/savitskiy-al/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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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/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1.sln b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1.sln new file mode 100644 index 0000000..fc4fd95 --- /dev/null +++ b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1.sln @@ -0,0 +1,25 @@ + +Microsoft Visual Studio Solution File, Format Version 12.00 +# Visual Studio Version 17 +VisualStudioVersion = 17.8.34322.80 +MinimumVisualStudioVersion = 10.0.40219.1 +Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ConsoleApp1", "ConsoleApp1\ConsoleApp1.csproj", "{24793D16-F80E-48B2-8A04-76BD2CB61C1C}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {24793D16-F80E-48B2-8A04-76BD2CB61C1C}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {24793D16-F80E-48B2-8A04-76BD2CB61C1C}.Debug|Any CPU.Build.0 = Debug|Any CPU + {24793D16-F80E-48B2-8A04-76BD2CB61C1C}.Release|Any CPU.ActiveCfg = Release|Any CPU + {24793D16-F80E-48B2-8A04-76BD2CB61C1C}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {D17B9FEE-F4BF-4559-899B-434F4545FF67} + EndGlobalSection +EndGlobal diff --git a/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/ConsoleApp1.csproj b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/ConsoleApp1.csproj new file mode 100644 index 0000000..272dc0e --- /dev/null +++ b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/ConsoleApp1.csproj @@ -0,0 +1,14 @@ + + + + Exe + net8.0 + enable + enable + + + + + + + diff --git a/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/MatrixService.cs b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/MatrixService.cs new file mode 100644 index 0000000..edcbae5 --- /dev/null +++ b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/MatrixService.cs @@ -0,0 +1,110 @@ +namespace ConsoleApp1 +{ + + public class MatrixService + { + + static readonly Random rand = new Random(); + + object lockObject = new object(); + + + public double[,] RandomGenerateMatrix(int dimensionsCount) + { + double[,] result = new double[dimensionsCount, dimensionsCount]; + for (int i = 0; i < dimensionsCount; i++) + { + for (int j = 0; j < dimensionsCount; j++) + { + result[i, j] = rand.NextDouble() * 10; + } + } + return result; + } + + public double DeterminantOfMatrix(double[,] matrix, int threadCount) + { + int size = matrix.GetLength(0); + + if (size == 1) + { + return matrix[0, 0]; + } + else if (size == 2) + { + return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + double determinant = 0; + + Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threadCount }, + (i) => + { + double[,] subMatrix = GetSubMatrix(matrix, i); + double subDeterminant = matrix[0, i] * Determinant(subMatrix); + double value = Math.Pow(-1, i) * subDeterminant; + lock (lockObject) + { + determinant += value; + } + }); + + return determinant; + } + } + + static double[,] GetSubMatrix(double[,] matrix, int columnIndex) + { + int size = matrix.GetLength(0); + double[,] subMatrix = new double[size - 1, size - 1]; + + for (int i = 1; i < size; i++) + { + for (int j = 0; j < size; j++) + { + if (j < columnIndex) + { + subMatrix[i - 1, j] = matrix[i, j]; + } + else if (j > columnIndex) + { + subMatrix[i - 1, j - 1] = matrix[i, j]; + } + } + } + + return subMatrix; + } + + static double Determinant(double[,] matrix) + { + int size = matrix.GetLength(0); + + if (size == 1) + { + return matrix[0, 0]; + } + else if (size == 2) + { + return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + double determinant = 0; + + for (int i = 0; i < size; i++) + { + double[,] subMatrix = GetSubMatrix(matrix, i); + + determinant += (int)Math.Pow(-1, i) * matrix[0, i] * Determinant(subMatrix); + } + + return determinant; + } + } + + + } +} + diff --git a/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/Program.cs b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/Program.cs new file mode 100644 index 0000000..0e17946 --- /dev/null +++ b/tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/Program.cs @@ -0,0 +1,83 @@ +using BenchmarkDotNet.Attributes; +using BenchmarkDotNet.Running; +using ConsoleApp1; + +BenchmarkRunner.Run(); + +//var matrixService = new MatrixService(); + +//var matrix = matrixService.RandomGenerateMatrix(3); + +//for(int i = 0; i < matrix.GetLength(0); i++) +//{ +// for (int j = 0; j < matrix.GetLength(0); j++) +// { +// Console.Write(matrix[i, j] + " "); +// } +// Console.WriteLine(); +//} + +//var result1 = matrixService.DeterminantOfMatrix(matrix, 1); +//var result2 = matrixService.DeterminantOfMatrix(matrix, 12); + +//Console.WriteLine(result1); +//Console.WriteLine(result2); +//Console.ReadLine(); + +[MemoryDiagnoser] +public class MatrixTest +{ + double[,] Matrix5; + double[,] Matrix8; + double[,] Matrix11; + + + MatrixService matrixService; + + + public MatrixTest() + { + matrixService = new MatrixService(); + + Matrix5 = matrixService.RandomGenerateMatrix(5); + Matrix8 = matrixService.RandomGenerateMatrix(8); + Matrix11 = matrixService.RandomGenerateMatrix(11); + + } + + [Benchmark] + public double MatrixDeterminant5() + { + return matrixService.DeterminantOfMatrix(Matrix5, 1); + } + + [Benchmark] + public double MatrixDeterminantParallel5() + { + return matrixService.DeterminantOfMatrix(Matrix5, 12); + } + + [Benchmark] + public double MatrixDeterminant8() + { + return matrixService.DeterminantOfMatrix(Matrix8, 1); + } + + [Benchmark] + public double MatrixDeterminantParallel8() + { + return matrixService.DeterminantOfMatrix(Matrix8, 12); + } + + [Benchmark] + public double MatrixDeterminant11() + { + return matrixService.DeterminantOfMatrix(Matrix11, 1); + } + + [Benchmark] + public double MatrixDeterminantParallel11() + { + return matrixService.DeterminantOfMatrix(Matrix11, 12); + } +} \ No newline at end of file diff --git a/tasks/savitskiy-al/lab_6/README.md b/tasks/savitskiy-al/lab_6/README.md new file mode 100644 index 0000000..0db7551 --- /dev/null +++ b/tasks/savitskiy-al/lab_6/README.md @@ -0,0 +1,108 @@ +# Отчет по лабораторной работе №6 + +Выполнил студент гр. ИСЭбд-41 Савицкий А.В. + +## Создание приложения + +Выбрал язык C#, Консольное приложение. +Установил библиотеку BenchmarkDotNet для замера производительности. + +Сам алгоритм. +``` cs +public double DeterminantOfMatrix(double[,] matrix, int threadCount) +{ + int size = matrix.GetLength(0); + + if (size == 1) + { + return matrix[0, 0]; + } + else if (size == 2) + { + return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + double determinant = 0; + + Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threadCount }, + (i) => + { + double[,] subMatrix = GetSubMatrix(matrix, i); + double subDeterminant = matrix[0, i] * Determinant(subMatrix); + double value = Math.Pow(-1, i) * subDeterminant; + lock (lockObject) + { + determinant += value; + } + }); + + return determinant; + } +} + +static double[,] GetSubMatrix(double[,] matrix, int columnIndex) +{ + int size = matrix.GetLength(0); + double[,] subMatrix = new double[size - 1, size - 1]; + + for (int i = 1; i < size; i++) + { + for (int j = 0; j < size; j++) + { + if (j < columnIndex) + { + subMatrix[i - 1, j] = matrix[i, j]; + } + else if (j > columnIndex) + { + subMatrix[i - 1, j - 1] = matrix[i, j]; + } + } + } + + return subMatrix; +} + +static double Determinant(double[,] matrix) +{ + int size = matrix.GetLength(0); + + if (size == 1) + { + return matrix[0, 0]; + } + else if (size == 2) + { + return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + else + { + double determinant = 0; + + for (int i = 0; i < size; i++) + { + double[,] subMatrix = GetSubMatrix(matrix, i); + + determinant += (int)Math.Pow(-1, i) * matrix[0, i] * Determinant(subMatrix); + } + + return determinant; + } +} +``` + +Проверка работы на матрице 3х3 +![](pic/1.png) + +## Бенчмарки + +Протестируем обычный и параллельный алгоритм определение детерминанта на различной размерности матрицы. + +В ходе экспериментов было установлено, что обработка матрицы размеров больше 12х12 занимает слишком много времени, поэтому для тестирования возьмем матрицы 5х5, 8х8 и 11х11. + +Для тестирование запускаю алгоритм в 1 поток и в 12 потоков + +![](pic/2.png) + +Вывод: Параллельный алгоритм работает быстрее только при наличии большого количества операций. 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