diff --git a/tasks/ostrovskaya-sf/lab_6/README.md b/tasks/ostrovskaya-sf/lab_6/README.md new file mode 100644 index 0000000..a233748 --- /dev/null +++ b/tasks/ostrovskaya-sf/lab_6/README.md @@ -0,0 +1,66 @@ +# Отчет по лабораторной работе №6 + +Выполнила студентка гр. ИСЭбд-41 Островская С. Ф. + +## Создание приложения + +Было выбрано консольное приложение, язык программирования - c#. + +Обычный алгоритм: + +```cs +static void SequentialDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit) + { + int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit); + + Stopwatch stopwatch = new Stopwatch(); + stopwatch.Start(); + int result = Determinant(randomMatrix); + stopwatch.Stop(); + TimeSpan elapsedTime = stopwatch.Elapsed; + Console.WriteLine($"Последовательный детерминант: {result}"); + Console.WriteLine($"Последовательное время: {elapsedTime.TotalSeconds:F7} секунд"); + } +``` +Параллельный алгоритм: + +```cs +static void ParallelDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit, int numProcesses) + { + int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit); + + int[][] matricesToProcess = new int[matrixSize][]; + for (int col = 0; col < matrixSize; col++) + { + matricesToProcess[col] = Submatrix(randomMatrix, 0, col)[0]; + } + + Stopwatch stopwatch = new Stopwatch(); + stopwatch.Start(); + int[] determinants = new int[matrixSize]; + Parallel.For(0, matrixSize, new ParallelOptions { MaxDegreeOfParallelism = numProcesses }, col => + { + determinants[col] = Determinant(new int[][] { matricesToProcess[col] }); + }); + + int result = 0; + for (int col = 0; col < matrixSize; col++) + { + result += ((-1) * col) * randomMatrix[0][col] * determinants[col]; + } + stopwatch.Stop(); + TimeSpan elapsedTime = stopwatch.Elapsed; + Console.WriteLine($"Параллельный детерминант: {result}"); + Console.WriteLine($"Параллельное время: {elapsedTime.TotalSeconds:F7} секунд"); + } +``` + +## Бенчмарки + +Для примера была взята матрица размерностью 10х10, поскольку для матриц больших размеров детерминант вычисляется слишком долго. + + +![](pic/pic1.jpg) + + +``Вывод``: Обыный 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/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix.sln b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix.sln new file mode 100644 index 0000000..79f574a --- /dev/null +++ b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix.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}") = "lab_6_matrix", "lab_6_matrix\lab_6_matrix.csproj", "{50F84649-668E-464D-94A9-7C36E1FCB2FF}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {50F84649-668E-464D-94A9-7C36E1FCB2FF}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {50F84649-668E-464D-94A9-7C36E1FCB2FF}.Debug|Any CPU.Build.0 = Debug|Any CPU + {50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.ActiveCfg = Release|Any CPU + {50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {45DFA84B-6962-4667-98B3-13BD962CF727} + EndGlobalSection +EndGlobal diff --git a/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/.gitignore b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/.gitignore new file mode 100644 index 0000000..104b544 --- /dev/null +++ b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/.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. Comment the next line if you want to +# checkin your Azure Web App publish settings, but sensitive information contained +# in these scripts will be unencrypted +PublishScripts/ + +# NuGet Packages +*.nupkg +# NuGet Symbol Packages +*.snupkg +# The packages folder can be ignored because of Package Restore +**/[Pp]ackages/* +# except build/, which is used as an MSBuild target. +!**/[Pp]ackages/build/ +# Uncomment if necessary however generally it will be regenerated when needed +#!**/[Pp]ackages/repositories.config +# NuGet v3's project.json files produces more ignorable files +*.nuget.props +*.nuget.targets + +# Microsoft Azure Build Output +csx/ +*.build.csdef + +# Microsoft Azure Emulator +ecf/ +rcf/ + +# Windows Store app package directories and files +AppPackages/ +BundleArtifacts/ +Package.StoreAssociation.xml +_pkginfo.txt +*.appx +*.appxbundle +*.appxupload + +# Visual Studio cache files +# files ending in .cache can be ignored +*.[Cc]ache +# but keep track of directories ending in .cache +!?*.[Cc]ache/ + +# Others +ClientBin/ +~$* +*~ +*.dbmdl +*.dbproj.schemaview +*.jfm +*.pfx +*.publishsettings +orleans.codegen.cs + +# Including strong name files can present a security risk +# (https://github.com/github/gitignore/pull/2483#issue-259490424) +#*.snk + +# Since there are multiple workflows, uncomment next line to ignore bower_components +# (https://github.com/github/gitignore/pull/1529#issuecomment-104372622) +#bower_components/ + +# RIA/Silverlight projects +Generated_Code/ + +# Backup & report files from converting an old project file +# to a newer Visual Studio version. Backup files are not needed, +# because we have git ;-) +_UpgradeReport_Files/ +Backup*/ +UpgradeLog*.XML +UpgradeLog*.htm +ServiceFabricBackup/ +*.rptproj.bak + +# SQL Server files +*.mdf +*.ldf +*.ndf + +# Business Intelligence projects +*.rdl.data +*.bim.layout +*.bim_*.settings +*.rptproj.rsuser +*- [Bb]ackup.rdl +*- [Bb]ackup ([0-9]).rdl +*- [Bb]ackup ([0-9][0-9]).rdl + +# Microsoft Fakes +FakesAssemblies/ + +# GhostDoc plugin setting file +*.GhostDoc.xml + +# Node.js Tools for Visual Studio +.ntvs_analysis.dat +node_modules/ + +# Visual Studio 6 build log +*.plg + +# Visual Studio 6 workspace options file +*.opt + +# Visual Studio 6 auto-generated workspace file (contains which files were open etc.) +*.vbw + +# Visual Studio 6 auto-generated project file (contains which files were open etc.) +*.vbp + +# Visual Studio 6 workspace and project file (working project files containing files to include in project) +*.dsw +*.dsp + +# Visual Studio 6 technical files +*.ncb +*.aps + +# Visual Studio LightSwitch build output +**/*.HTMLClient/GeneratedArtifacts +**/*.DesktopClient/GeneratedArtifacts +**/*.DesktopClient/ModelManifest.xml +**/*.Server/GeneratedArtifacts +**/*.Server/ModelManifest.xml +_Pvt_Extensions + +# Paket dependency manager +.paket/paket.exe +paket-files/ + +# FAKE - F# Make +.fake/ + +# CodeRush personal settings +.cr/personal + +# Python Tools for Visual Studio (PTVS) +__pycache__/ +*.pyc + +# Cake - Uncomment if you are using it +# tools/** +# !tools/packages.config + +# Tabs Studio +*.tss + +# Telerik's JustMock configuration file +*.jmconfig + +# BizTalk build output +*.btp.cs +*.btm.cs +*.odx.cs +*.xsd.cs + +# OpenCover UI analysis results +OpenCover/ + +# Azure Stream Analytics local run output +ASALocalRun/ + +# MSBuild Binary and Structured Log +*.binlog + +# NVidia Nsight GPU debugger configuration file +*.nvuser + +# MFractors (Xamarin productivity tool) working folder +.mfractor/ + +# Local History for Visual Studio +.localhistory/ + +# Visual Studio History (VSHistory) files +.vshistory/ + +# BeatPulse healthcheck temp database +healthchecksdb + +# Backup folder for Package Reference Convert tool in Visual Studio 2017 +MigrationBackup/ + +# Ionide (cross platform F# VS Code tools) working folder +.ionide/ + +# Fody - auto-generated XML schema +FodyWeavers.xsd + +# VS Code files for those working on multiple tools +.vscode/* +!.vscode/settings.json +!.vscode/tasks.json +!.vscode/launch.json +!.vscode/extensions.json +*.code-workspace + +# Local History for Visual Studio Code +.history/ + +# Windows Installer files from build outputs +*.cab +*.msi +*.msix +*.msm +*.msp + +# JetBrains Rider +*.sln.iml +.idea + +## +## Visual studio for Mac +## + + +# globs +Makefile.in +*.userprefs +*.usertasks +config.make +config.status +aclocal.m4 +install-sh +autom4te.cache/ +*.tar.gz +tarballs/ +test-results/ + +# Mac bundle stuff +*.dmg +*.app + +# content below from: 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 +$RECYCLE.BIN/ + +# Windows Installer files +*.cab +*.msi +*.msix +*.msm +*.msp + +# Windows shortcuts +*.lnk + +# Vim temporary swap files +*.swp diff --git a/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs new file mode 100644 index 0000000..165e3dd --- /dev/null +++ b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs @@ -0,0 +1,135 @@ +using System; +using System.Diagnostics; +using System.Threading.Tasks; + +class Program +{ + static void SequentialDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit) + { + int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit); + + Stopwatch stopwatch = new Stopwatch(); + stopwatch.Start(); + int result = Determinant(randomMatrix); + stopwatch.Stop(); + TimeSpan elapsedTime = stopwatch.Elapsed; + Console.WriteLine($"Последовательный детерминант: {result}"); + Console.WriteLine($"Последовательное время: {elapsedTime.TotalSeconds:F7} секунд"); + } + + static void ParallelDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit, int numProcesses) + { + int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit); + + int[][] matricesToProcess = new int[matrixSize][]; + for (int col = 0; col < matrixSize; col++) + { + matricesToProcess[col] = Submatrix(randomMatrix, 0, col)[0]; + } + + Stopwatch stopwatch = new Stopwatch(); + stopwatch.Start(); + int[] determinants = new int[matrixSize]; + Parallel.For(0, matrixSize, new ParallelOptions { MaxDegreeOfParallelism = numProcesses }, col => + { + determinants[col] = Determinant(new int[][] { matricesToProcess[col] }); + }); + + int result = 0; + for (int col = 0; col < matrixSize; col++) + { + result += ((-1) * col) * randomMatrix[0][col] * determinants[col]; + } + stopwatch.Stop(); + TimeSpan elapsedTime = stopwatch.Elapsed; + Console.WriteLine($"Параллельный детерминант: {result}"); + Console.WriteLine($"Параллельное время: {elapsedTime.TotalSeconds:F7} секунд"); + } + + static int[][] GenerateRandomMatrix(int matrixSize, int lowerLimit, int upperLimit) + { + Random random = new Random(); + int[][] matrix = new int[matrixSize][]; + + for (int i = 0; i < matrixSize; i++) + { + matrix[i] = new int[matrixSize]; + for (int j = 0; j < matrixSize; j++) + { + matrix[i][j] = random.Next(lowerLimit, upperLimit); + } + } + + return matrix; + } + + static int[][] Submatrix(int[][] matrix, int rowToDelete, int colToDelete) + { + int size = matrix.Length - 1; + int[][] submatrix = new int[size][]; + + int rowIndex = 0; + + for (int i = 0; i < matrix.Length; i++) + { + if (i == rowToDelete) + continue; + + submatrix[rowIndex] = new int[size]; + + int colIndex = 0; + for (int j = 0; j < matrix.Length; j++) + { + if (j == colToDelete) + continue; + + submatrix[rowIndex][colIndex] = matrix[i][j]; + colIndex++; + } + + rowIndex++; + } + + return submatrix; + } + + static int Determinant(int[][] matrix) + { + int n = matrix.Length; + if (n == 1) + { + return matrix[0][0]; + } + else if (n == 2) + { + return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]; + } + else + { + int determinant = 0; + + for (int j = 0; j < n; j++) + { + int[][] submatrix = Submatrix(matrix, 0, j); + int subDeterminant = Determinant(submatrix); + determinant += ((-1) * j) * matrix[0][j] * subDeterminant; + } + + return determinant; + } + } + + static void Main(string[] args) + { + SequentialDeterminantCalculation(10, 0, 10); + Console.WriteLine(); + + int[] numThreads = { 1, 2, 4, 6, 8, 12, 16, 32 }; + + for (int i = 0; i < 8; i++) + { + Console.WriteLine($"Количество потоков: {numThreads[i]}"); + ParallelDeterminantCalculation(10, 0, 10, numThreads[i]); + } + } +} diff --git a/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/lab_6_matrix.csproj b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/lab_6_matrix.csproj new file mode 100644 index 0000000..2150e37 --- /dev/null +++ b/tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/lab_6_matrix.csproj @@ -0,0 +1,10 @@ + + + + Exe + net8.0 + enable + enable + + + diff --git a/tasks/ostrovskaya-sf/lab_6/pic/pic1.jpg b/tasks/ostrovskaya-sf/lab_6/pic/pic1.jpg new file mode 100644 index 0000000..095490c Binary files /dev/null and b/tasks/ostrovskaya-sf/lab_6/pic/pic1.jpg differ