лаб 6
This commit is contained in:
parent
4941d1bb68
commit
259c0adb90
477
tasks/mutriskov-ds/lab_6/.gitignore
vendored
Normal file
477
tasks/mutriskov-ds/lab_6/.gitignore
vendored
Normal file
@ -0,0 +1,477 @@
|
|||||||
|
## 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/main/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/
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||||||
|
x64/
|
||||||
|
x86/
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||||||
|
[Ww][Ii][Nn]32/
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||||||
|
[Aa][Rr][Mm]/
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||||||
|
[Aa][Rr][Mm]64/
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||||||
|
bld/
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||||||
|
[Bb]in/
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||||||
|
[Oo]bj/
|
||||||
|
[Ll]og/
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||||||
|
[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/
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||||||
|
|
||||||
|
# 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
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||||||
|
project.fragment.lock.json
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||||||
|
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
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||||||
|
*.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
|
||||||
|
|
||||||
|
##
|
||||||
|
## 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
|
||||||
199
tasks/mutriskov-ds/lab_6/README.md
Normal file
199
tasks/mutriskov-ds/lab_6/README.md
Normal file
@ -0,0 +1,199 @@
|
|||||||
|
# Отчёт по лабораторной работе №6
|
||||||
|
|
||||||
|
Выполнил: студент гр. ИСЭбд-41 Мутрисков Д.С.
|
||||||
|
|
||||||
|
## 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<MatrixDeterminant>();`.
|
||||||
|
|
||||||
|
|
||||||
|
## Результаты работы приложения
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
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.
|
||||||
181
tasks/mutriskov-ds/lab_6/Task/Program.cs
Normal file
181
tasks/mutriskov-ds/lab_6/Task/Program.cs
Normal file
@ -0,0 +1,181 @@
|
|||||||
|
using System;
|
||||||
|
using System.Diagnostics;
|
||||||
|
using System.Threading.Tasks;
|
||||||
|
using BenchmarkDotNet.Attributes;
|
||||||
|
using BenchmarkDotNet.Running;
|
||||||
|
|
||||||
|
var summary = BenchmarkRunner.Run<MatrixDeterminant>();
|
||||||
|
Console.ReadLine();
|
||||||
|
|
||||||
|
public class MatrixDeterminant
|
||||||
|
{
|
||||||
|
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;
|
||||||
|
}
|
||||||
|
|
||||||
|
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;
|
||||||
|
}
|
||||||
|
}
|
||||||
14
tasks/mutriskov-ds/lab_6/Task/Task.csproj
Normal file
14
tasks/mutriskov-ds/lab_6/Task/Task.csproj
Normal file
@ -0,0 +1,14 @@
|
|||||||
|
<Project Sdk="Microsoft.NET.Sdk">
|
||||||
|
|
||||||
|
<PropertyGroup>
|
||||||
|
<OutputType>Exe</OutputType>
|
||||||
|
<TargetFramework>net7.0</TargetFramework>
|
||||||
|
<ImplicitUsings>enable</ImplicitUsings>
|
||||||
|
<Nullable>enable</Nullable>
|
||||||
|
</PropertyGroup>
|
||||||
|
|
||||||
|
<ItemGroup>
|
||||||
|
<PackageReference Include="BenchmarkDotNet" Version="0.13.12" />
|
||||||
|
</ItemGroup>
|
||||||
|
|
||||||
|
</Project>
|
||||||
22
tasks/mutriskov-ds/lab_6/Task/Task.sln
Normal file
22
tasks/mutriskov-ds/lab_6/Task/Task.sln
Normal file
@ -0,0 +1,22 @@
|
|||||||
|
|
||||||
|
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||||
|
# Visual Studio Version 17
|
||||||
|
VisualStudioVersion = 17.0.31903.59
|
||||||
|
MinimumVisualStudioVersion = 10.0.40219.1
|
||||||
|
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Task", "Task.csproj", "{936EA1CC-95C4-4808-9277-C06DA37F431F}"
|
||||||
|
EndProject
|
||||||
|
Global
|
||||||
|
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||||
|
Debug|Any CPU = Debug|Any CPU
|
||||||
|
Release|Any CPU = Release|Any CPU
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(SolutionProperties) = preSolution
|
||||||
|
HideSolutionNode = FALSE
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||||
|
{936EA1CC-95C4-4808-9277-C06DA37F431F}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||||
|
{936EA1CC-95C4-4808-9277-C06DA37F431F}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||||
|
{936EA1CC-95C4-4808-9277-C06DA37F431F}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||||
|
{936EA1CC-95C4-4808-9277-C06DA37F431F}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||||
|
EndGlobalSection
|
||||||
|
EndGlobal
|
||||||
BIN
tasks/mutriskov-ds/lab_6/images/1.png
Normal file
BIN
tasks/mutriskov-ds/lab_6/images/1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 34 KiB |
Loading…
Reference in New Issue
Block a user