diff --git a/tasks/khalitova-am/lab_6/App/.gitignore b/tasks/khalitova-am/lab_6/App/.gitignore new file mode 100644 index 0000000..2afa2e2 --- /dev/null +++ b/tasks/khalitova-am/lab_6/App/.gitignore @@ -0,0 +1,454 @@ +## Ignore Visual Studio temporary files, build results, and +## files generated by popular Visual Studio add-ons. +## +## Get latest from https://github.com/github/gitignore/blob/master/VisualStudio.gitignore + +# 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 +*.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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1 : -1; + double cofactor = sign * matrix[0][i] * DeterminantSequential(GetSubMatrix(matrix, 0, i)); + determinant += cofactor; + } + + return determinant; + } + + public static double DeterminantParallel(double[][] matrix, int numThreads) + { + int size = matrix.Length; + + if (size == 1) + { + return matrix[0][0]; + } + + if (size == 2) + { + return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]; + } + + double determinant = 0; + + Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = numThreads }, i => + { + double sign = (i % 2 == 0) ? 1 : -1; + double cofactor = sign * matrix[0][i] * DeterminantSequential(GetSubMatrix(matrix, 0, i)); + determinant += cofactor; + }); + + return determinant; + } + + + [Benchmark] + public void DeterminantSequential_2x2() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantSequential(matrix); + } + + [Benchmark] + public void DeterminantParallel_2x2_4TH() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantParallel(matrix, 4); + } + [Benchmark] + public void DeterminantParallel_2x2_8TH() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantParallel(matrix, 8); + } + [Benchmark] + public void DeterminantParallel_2x2_16TH() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantParallel(matrix, 16); + } + [Benchmark] + public void DeterminantSequential_4x4() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantSequential(matrix); + } + + [Benchmark] + public void DeterminantParallel_4x4_4TH() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantParallel(matrix, 4); + } + [Benchmark] + public void DeterminantParallel_4x4_8TH() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantParallel(matrix, 8); + } + [Benchmark] + public void DeterminantParallel_4x4_16TH() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantParallel(matrix, 16); + } + [Benchmark] + public void DeterminantSequential_8x8() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantSequential(matrix); + } + + [Benchmark] + public void DeterminantParallel_8x8_4TH() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantParallel(matrix, 4); + } + [Benchmark] + public void DeterminantParallel_8x8_8TH() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantParallel(matrix, 8); + } + [Benchmark] + public void DeterminantParallel_8x8_16TH() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantParallel(matrix, 16); + } + public static double[][] GenerateRandomMatrix(int rows, int cols) + { + double[][] matrix = new double[rows][]; + + Random rand = new Random(); + + for (int i = 0; i < rows; i++) + { + matrix[i] = new double[cols]; + for (int j = 0; j < cols; j++) + { + matrix[i][j] = rand.Next(1, 10); + } + } + + return matrix; + } + + private static double[][] GetSubMatrix(double[][] matrix, int rowToRemove, int colToRemove) + { + int size = matrix.Length; + double[][] subMatrix = new double[size - 1][]; + + for (int i = 0, newRow = 0; i < size; i++) + { + if (i != rowToRemove) + { + subMatrix[newRow] = new double[size - 1]; + for (int j = 0, newCol = 0; j < size; j++) + { + if (j != colToRemove) + { + subMatrix[newRow][newCol] = matrix[i][j]; + newCol++; + } + } + newRow++; + } + } + return subMatrix; + } +} + +class Program +{ + static void Main(string[] args) + { + var summary = BenchmarkRunner.Run(); + Console.ReadLine(); + } +} \ No newline at end of file diff --git a/tasks/khalitova-am/lab_6/README.md b/tasks/khalitova-am/lab_6/README.md new file mode 100644 index 0000000..a9ccb62 --- /dev/null +++ b/tasks/khalitova-am/lab_6/README.md @@ -0,0 +1,199 @@ +# Отчёт по лабораторной работе №6 + +Выполнила: студентка гр. ИСЭбд-41 Халитова А.М. + +## Создание приложения + +В приложении были созданы следующие методы: + +- Заполнение матрицы рандомными значениями: +``` + public static double[][] GenerateRandomMatrix(int rows, int cols) + { + double[][] matrix = new double[rows][]; + + Random rand = new Random(); + + for (int i = 0; i < rows; i++) + { + matrix[i] = new double[cols]; + for (int j = 0; j < cols; j++) + { + matrix[i][j] = rand.Next(1, 10); + } + } + return matrix; + } +``` + +- Метод создания подматрицы для удаления строки и столбца в вычислении определителя: +``` + private static double[][] GetSubMatrix(double[][] matrix, int rowToRemove, int colToRemove) + { + int size = matrix.Length; + double[][] subMatrix = new double[size - 1][]; + + for (int i = 0, newRow = 0; i < size; i++) + { + if (i != rowToRemove) + { + subMatrix[newRow] = new double[size - 1]; + for (int j = 0, newCol = 0; j < size; j++) + { + if (j != colToRemove) + { + subMatrix[newRow][newCol] = matrix[i][j]; + newCol++; + } + } + newRow++; + } + } + return subMatrix; + } +``` + +- Метод вычисления детерминанта обычным алгоритмом: +``` + public static double DeterminantSequential(double[][] matrix) + { + int size = matrix.Length; + + if (size == 1) + { + return matrix[0][0]; + } + + if (size == 2) + { + return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]; + } + + double determinant = 0; + + for (int i = 0; i < size; i++) + { + double sign = (i % 2 == 0) ? 1 : -1; + double cofactor = sign * matrix[0][i] * DeterminantSequential(GetSubMatrix(matrix, 0, i)); + determinant += cofactor; + } + return determinant; + } +``` + +- Метод вычисления детерминанта параллельным алгоритмом: +``` +public static double DeterminantParallel(double[][] matrix, int numThreads) + { + int size = matrix.Length; + + if (size == 1) + { + return matrix[0][0]; + } + + if (size == 2) + { + return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]; + } + + double determinant = 0; + + Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = numThreads }, i => + { + double sign = (i % 2 == 0) ? 1 : -1; + double cofactor = sign * matrix[0][i] * DeterminantSequential(GetSubMatrix(matrix, 0, i)); + determinant += cofactor; + }); + return determinant; + } +``` + +- Методы генерации матриц различных размеров и с различным числом потоков. Поскольку ресурсы машины не позволяют вычислить детерминанту для больших матриц (процесс занимает большое количество времени и памяти, происходит зависание), вычислять будем для матриц меньших размеров (2, 4, 8): +``` + + [Benchmark] + public void DeterminantSequential_2x2() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantSequential(matrix); + } + + [Benchmark] + public void DeterminantParallel_2x2_4TH() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantParallel(matrix, 4); + } + [Benchmark] + public void DeterminantParallel_2x2_8TH() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantParallel(matrix, 8); + } + [Benchmark] + public void DeterminantParallel_2x2_16TH() + { + double[][] matrix = GenerateRandomMatrix(2, 2); + DeterminantParallel(matrix, 16); + } + [Benchmark] + public void DeterminantSequential_4x4() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantSequential(matrix); + } + + [Benchmark] + public void DeterminantParallel_4x4_4TH() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantParallel(matrix, 4); + } + [Benchmark] + public void DeterminantParallel_4x4_8TH() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantParallel(matrix, 8); + } + [Benchmark] + public void DeterminantParallel_4x4_16TH() + { + double[][] matrix = GenerateRandomMatrix(4, 4); + DeterminantParallel(matrix, 16); + } + [Benchmark] + public void DeterminantSequential_8x8() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantSequential(matrix); + } + + [Benchmark] + public void DeterminantParallel_8x8_4TH() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantParallel(matrix, 4); + } + [Benchmark] + public void DeterminantParallel_8x8_8TH() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantParallel(matrix, 8); + } + [Benchmark] + public void DeterminantParallel_8x8_16TH() + { + double[][] matrix = GenerateRandomMatrix(8, 8); + DeterminantParallel(matrix, 16); + } +``` + +Запуск приложения происходит с помощью строки `var summary = BenchmarkRunner.Run();`. + + +## Результаты работы приложения + +![](shot.PNG) + +Вывод: по результатам работы, для малых матриц парралельный алгоритм не дает прироста в скорости работы. Для матрицы 8 на 8 дает прирост только распараллеливание на малое число потоков. Для вычисления детерминанта больших матриц (больше, чем 8 на 8) не хватает вычислительной мощности моего процессора, но можно предположить что в этом случае увеличение числа потоков приводило бы к увеличению скорости работы. \ No newline at end of file diff --git a/tasks/khalitova-am/lab_6/shot.PNG b/tasks/khalitova-am/lab_6/shot.PNG new file mode 100644 index 0000000..46d43c1 Binary files /dev/null and b/tasks/khalitova-am/lab_6/shot.PNG differ