forked from Alexey/DAS_2024_1
Merge pull request 'kuzarin_maxim_lab_6' (#69) from kuzarin_maxim_lab_6 into main
Reviewed-on: Alexey/DAS_2024_1#69
This commit is contained in:
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484
kuzarin_maxim_lab_6/.gitignore
vendored
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484
kuzarin_maxim_lab_6/.gitignore
vendored
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@ -0,0 +1,484 @@
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|||||||
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## Ignore Visual Studio temporary files, build results, and
|
||||||
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## files generated by popular Visual Studio add-ons.
|
||||||
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##
|
||||||
|
## Get latest from `dotnet new gitignore`
|
||||||
|
|
||||||
|
# dotenv files
|
||||||
|
.env
|
||||||
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|
||||||
|
# User-specific files
|
||||||
|
*.rsuser
|
||||||
|
*.suo
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||||||
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*.user
|
||||||
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*.userosscache
|
||||||
|
*.sln.docstates
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||||||
|
|
||||||
|
# User-specific files (MonoDevelop/Xamarin Studio)
|
||||||
|
*.userprefs
|
||||||
|
|
||||||
|
# Mono auto generated files
|
||||||
|
mono_crash.*
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||||||
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|
||||||
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# Build results
|
||||||
|
[Dd]ebug/
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||||||
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[Dd]ebugPublic/
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||||||
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[Rr]elease/
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||||||
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[Rr]eleases/
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||||||
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x64/
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||||||
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x86/
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||||||
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[Ww][Ii][Nn]32/
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||||||
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[Aa][Rr][Mm]/
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||||||
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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/
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||||||
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[Ll]og/
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||||||
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[Ll]ogs/
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||||||
|
|
||||||
|
# Visual Studio 2015/2017 cache/options directory
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||||||
|
.vs/
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||||||
|
# Uncomment if you have tasks that create the project's static files in wwwroot
|
||||||
|
#wwwroot/
|
||||||
|
|
||||||
|
# Visual Studio 2017 auto generated files
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||||||
|
Generated\ Files/
|
||||||
|
|
||||||
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# MSTest test Results
|
||||||
|
[Tt]est[Rr]esult*/
|
||||||
|
[Bb]uild[Ll]og.*
|
||||||
|
|
||||||
|
# NUnit
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||||||
|
*.VisualState.xml
|
||||||
|
TestResult.xml
|
||||||
|
nunit-*.xml
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||||||
|
|
||||||
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# Build Results of an ATL Project
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||||||
|
[Dd]ebugPS/
|
||||||
|
[Rr]eleasePS/
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||||||
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dlldata.c
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||||||
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|
||||||
|
# Benchmark Results
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||||||
|
BenchmarkDotNet.Artifacts/
|
||||||
|
|
||||||
|
# .NET
|
||||||
|
project.lock.json
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||||||
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project.fragment.lock.json
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||||||
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artifacts/
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||||||
|
|
||||||
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# Tye
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||||||
|
.tye/
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||||||
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|
||||||
|
# ASP.NET Scaffolding
|
||||||
|
ScaffoldingReadMe.txt
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||||||
|
|
||||||
|
# StyleCop
|
||||||
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StyleCopReport.xml
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||||||
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|
||||||
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# Files built by Visual Studio
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||||||
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*_i.c
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||||||
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*_p.c
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||||||
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*_h.h
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||||||
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*.ilk
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||||||
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*.meta
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*.obj
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*.iobj
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*.pch
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*.pdb
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*.ipdb
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*.pgc
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*.pgd
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*.rsp
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*.sbr
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*.tlb
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*.tli
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*.tlh
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*.tmp
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*.tmp_proj
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*_wpftmp.csproj
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*.log
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||||||
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*.tlog
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||||||
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*.vspscc
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||||||
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*.vssscc
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||||||
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.builds
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||||||
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*.pidb
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||||||
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*.svclog
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||||||
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*.scc
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||||||
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|
||||||
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# Chutzpah Test files
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||||||
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_Chutzpah*
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||||||
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||||||
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# Visual C++ cache files
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||||||
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ipch/
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||||||
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*.aps
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||||||
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*.ncb
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||||||
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*.opendb
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||||||
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*.opensdf
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||||||
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*.sdf
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||||||
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*.cachefile
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||||||
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*.VC.db
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||||||
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*.VC.VC.opendb
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||||||
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|
||||||
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# Visual Studio profiler
|
||||||
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*.psess
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||||||
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*.vsp
|
||||||
|
*.vspx
|
||||||
|
*.sap
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||||||
|
|
||||||
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# Visual Studio Trace Files
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||||||
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*.e2e
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||||||
|
|
||||||
|
# TFS 2012 Local Workspace
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||||||
|
$tf/
|
||||||
|
|
||||||
|
# Guidance Automation Toolkit
|
||||||
|
*.gpState
|
||||||
|
|
||||||
|
# ReSharper is a .NET coding add-in
|
||||||
|
_ReSharper*/
|
||||||
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*.[Rr]e[Ss]harper
|
||||||
|
*.DotSettings.user
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||||||
|
|
||||||
|
# TeamCity is a build add-in
|
||||||
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_TeamCity*
|
||||||
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|
||||||
|
# DotCover is a Code Coverage Tool
|
||||||
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*.dotCover
|
||||||
|
|
||||||
|
# AxoCover is a Code Coverage Tool
|
||||||
|
.axoCover/*
|
||||||
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!.axoCover/settings.json
|
||||||
|
|
||||||
|
# Coverlet is a free, cross platform Code Coverage Tool
|
||||||
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coverage*.json
|
||||||
|
coverage*.xml
|
||||||
|
coverage*.info
|
||||||
|
|
||||||
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# Visual Studio code coverage results
|
||||||
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*.coverage
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||||||
|
*.coveragexml
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||||||
|
|
||||||
|
# NCrunch
|
||||||
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_NCrunch_*
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||||||
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.*crunch*.local.xml
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||||||
|
nCrunchTemp_*
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||||||
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|
||||||
|
# MightyMoose
|
||||||
|
*.mm.*
|
||||||
|
AutoTest.Net/
|
||||||
|
|
||||||
|
# Web workbench (sass)
|
||||||
|
.sass-cache/
|
||||||
|
|
||||||
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# Installshield output folder
|
||||||
|
[Ee]xpress/
|
||||||
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|
||||||
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# DocProject is a documentation generator add-in
|
||||||
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DocProject/buildhelp/
|
||||||
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DocProject/Help/*.HxT
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||||||
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DocProject/Help/*.HxC
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||||||
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DocProject/Help/*.hhc
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||||||
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DocProject/Help/*.hhk
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||||||
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DocProject/Help/*.hhp
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||||||
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DocProject/Help/Html2
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||||||
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DocProject/Help/html
|
||||||
|
|
||||||
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# Click-Once directory
|
||||||
|
publish/
|
||||||
|
|
||||||
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# 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
|
||||||
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*.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
|
||||||
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PublishScripts/
|
||||||
|
|
||||||
|
# NuGet Packages
|
||||||
|
*.nupkg
|
||||||
|
# NuGet Symbol Packages
|
||||||
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*.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
|
||||||
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*.nuget.props
|
||||||
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*.nuget.targets
|
||||||
|
|
||||||
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# Microsoft Azure Build Output
|
||||||
|
csx/
|
||||||
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*.build.csdef
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||||||
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|
||||||
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# Microsoft Azure Emulator
|
||||||
|
ecf/
|
||||||
|
rcf/
|
||||||
|
|
||||||
|
# Windows Store app package directories and files
|
||||||
|
AppPackages/
|
||||||
|
BundleArtifacts/
|
||||||
|
Package.StoreAssociation.xml
|
||||||
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_pkginfo.txt
|
||||||
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*.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
|
||||||
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ClientBin/
|
||||||
|
~$*
|
||||||
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*~
|
||||||
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*.dbmdl
|
||||||
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*.dbproj.schemaview
|
||||||
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*.jfm
|
||||||
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*.pfx
|
||||||
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*.publishsettings
|
||||||
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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
|
||||||
25
kuzarin_maxim_lab_6/DeterminantCalculation.sln
Normal file
25
kuzarin_maxim_lab_6/DeterminantCalculation.sln
Normal file
@ -0,0 +1,25 @@
|
|||||||
|
|
||||||
|
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||||
|
# Visual Studio Version 17
|
||||||
|
VisualStudioVersion = 17.10.34916.146
|
||||||
|
MinimumVisualStudioVersion = 10.0.40219.1
|
||||||
|
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "DeterminantCalculation", "DeterminantCalculation\DeterminantCalculation.csproj", "{31083870-167F-45D9-8205-4E908E4DEAEC}"
|
||||||
|
EndProject
|
||||||
|
Global
|
||||||
|
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||||
|
Debug|Any CPU = Debug|Any CPU
|
||||||
|
Release|Any CPU = Release|Any CPU
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||||
|
{31083870-167F-45D9-8205-4E908E4DEAEC}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||||
|
{31083870-167F-45D9-8205-4E908E4DEAEC}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||||
|
{31083870-167F-45D9-8205-4E908E4DEAEC}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||||
|
{31083870-167F-45D9-8205-4E908E4DEAEC}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(SolutionProperties) = preSolution
|
||||||
|
HideSolutionNode = FALSE
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(ExtensibilityGlobals) = postSolution
|
||||||
|
SolutionGuid = {15AF4683-8FFA-462B-AEB1-EBC1DC51E24A}
|
||||||
|
EndGlobalSection
|
||||||
|
EndGlobal
|
||||||
@ -0,0 +1,10 @@
|
|||||||
|
<Project Sdk="Microsoft.NET.Sdk">
|
||||||
|
|
||||||
|
<PropertyGroup>
|
||||||
|
<OutputType>Exe</OutputType>
|
||||||
|
<TargetFramework>net8.0</TargetFramework>
|
||||||
|
<ImplicitUsings>enable</ImplicitUsings>
|
||||||
|
<Nullable>enable</Nullable>
|
||||||
|
</PropertyGroup>
|
||||||
|
|
||||||
|
</Project>
|
||||||
184
kuzarin_maxim_lab_6/DeterminantCalculation/Program.cs
Normal file
184
kuzarin_maxim_lab_6/DeterminantCalculation/Program.cs
Normal file
@ -0,0 +1,184 @@
|
|||||||
|
using System.Diagnostics;
|
||||||
|
|
||||||
|
internal class Program
|
||||||
|
{
|
||||||
|
private static string[] _resTableColumnsNames = new string[] { "m*m", "1 t", "2 t", "3 t", "4 t", "5 t", "6 t"};
|
||||||
|
private static void Main(string[] args)
|
||||||
|
{
|
||||||
|
Console.WriteLine(string.Join("\t", _resTableColumnsNames));
|
||||||
|
for (int i = 8; i < 14; i++)
|
||||||
|
{
|
||||||
|
var e = CreateMatrix(i, i);
|
||||||
|
|
||||||
|
List<long> times = new() { i };
|
||||||
|
|
||||||
|
for (int j = 1; j <= 6; j++)
|
||||||
|
{
|
||||||
|
var sw = new Stopwatch();
|
||||||
|
sw.Start();
|
||||||
|
|
||||||
|
CalculateDeterminant(e, j);
|
||||||
|
|
||||||
|
sw.Stop();
|
||||||
|
times.Add(sw.ElapsedMilliseconds);
|
||||||
|
}
|
||||||
|
|
||||||
|
Console.WriteLine(string.Join("\t", times));
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
private static int[,] CreateMatrix(int x, int y)
|
||||||
|
{
|
||||||
|
var rnd = new Random();
|
||||||
|
|
||||||
|
var res = new int[y, x];
|
||||||
|
|
||||||
|
for (int i = 0; i < y; i++)
|
||||||
|
{
|
||||||
|
for (int j = 0; j < x; j++)
|
||||||
|
{
|
||||||
|
res[i, j] = rnd.Next(0, 100);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
||||||
|
private static void PritMatrix(int[,] mx)
|
||||||
|
{
|
||||||
|
for (int i = 0; i < mx.GetLength(0); i++)
|
||||||
|
{
|
||||||
|
for (int j = 0; j < mx.GetLength(1); j++)
|
||||||
|
{
|
||||||
|
Console.Write($"{mx[i, j].ToString("000")}\t");
|
||||||
|
}
|
||||||
|
Console.WriteLine();
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
public static long CalculateDeterminant(int[,] matrix, int maxThreads)
|
||||||
|
=> CalculateDeterminantParalel(
|
||||||
|
matrix,
|
||||||
|
Enumerable.Range(0, matrix.GetLength(0)).ToArray(),
|
||||||
|
Enumerable.Range(0, matrix.GetLength(1)).ToArray(),
|
||||||
|
maxThreads
|
||||||
|
);
|
||||||
|
|
||||||
|
private static long CalculateDeterminant(int[,] matrix, int[] rows, int[] columns)
|
||||||
|
{
|
||||||
|
if (rows.Length <= 3)
|
||||||
|
return GetSimpleDeterminant(matrix, rows.ToList(), columns.ToList());
|
||||||
|
|
||||||
|
(int fixIndex, bool isFixRow) = GetTheBestRowColumn(matrix, rows, columns);
|
||||||
|
|
||||||
|
long res = 0;
|
||||||
|
int row = isFixRow ? rows[fixIndex] : -1;
|
||||||
|
int column = isFixRow ? -1 : columns[fixIndex];
|
||||||
|
|
||||||
|
for (int index = 0; index < rows.Length; index++)
|
||||||
|
{
|
||||||
|
if (isFixRow)
|
||||||
|
column = columns[index];
|
||||||
|
else
|
||||||
|
row = rows[index];
|
||||||
|
|
||||||
|
res += ((index + fixIndex) % 2 != 0 ? -1 : 1) * matrix[column, row] *
|
||||||
|
CalculateDeterminant(matrix, rows.Where(x => x != row).ToArray(), columns.Where(x => x != column).ToArray());
|
||||||
|
}
|
||||||
|
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
||||||
|
private static long CalculateDeterminantParalel(int[,] matrix, int[] rows, int[] columns, int maxThread)
|
||||||
|
{
|
||||||
|
if (rows.Length <= 3)
|
||||||
|
return GetSimpleDeterminant(matrix, rows.ToList(), columns.ToList());
|
||||||
|
|
||||||
|
(int fixIndex, bool isFixRow) = GetTheBestRowColumn(matrix, rows, columns);
|
||||||
|
|
||||||
|
long res = 0;
|
||||||
|
int row = isFixRow ? rows[fixIndex] : -1;
|
||||||
|
int column = isFixRow ? -1 : columns[fixIndex];
|
||||||
|
|
||||||
|
var semaphore = new SemaphoreSlim(maxThread, maxThread);
|
||||||
|
|
||||||
|
for (int index = 0; index < rows.Length; index++)
|
||||||
|
{
|
||||||
|
if (isFixRow)
|
||||||
|
column = columns[index];
|
||||||
|
else
|
||||||
|
row = rows[index];
|
||||||
|
|
||||||
|
var c_column = column;
|
||||||
|
var c_row = row;
|
||||||
|
var c_index = fixIndex + index;
|
||||||
|
semaphore.Wait();
|
||||||
|
Task.Run(() =>
|
||||||
|
{
|
||||||
|
try
|
||||||
|
{
|
||||||
|
res += (c_index % 2 != 0 ? -1 : 1) * matrix[c_column, c_row] *
|
||||||
|
CalculateDeterminant(
|
||||||
|
matrix,
|
||||||
|
rows.Where(x => x != c_row).ToArray(),
|
||||||
|
columns.Where(x => x != c_column).ToArray()
|
||||||
|
);
|
||||||
|
}
|
||||||
|
finally { semaphore.Release(); }
|
||||||
|
});
|
||||||
|
}
|
||||||
|
|
||||||
|
semaphore.Wait(maxThread);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
||||||
|
private static (int fixIndex, bool isFixRow) GetTheBestRowColumn(int[,] matrix, int[] rows, int[] columns)
|
||||||
|
{
|
||||||
|
Dictionary<int, int> zerosCount = rows.Select(x => x + 1).Union(columns.Select(x => -x - 1)).ToDictionary(x => x, x => 0);
|
||||||
|
|
||||||
|
foreach (var r in rows)
|
||||||
|
{
|
||||||
|
foreach (var c in columns)
|
||||||
|
{
|
||||||
|
if (matrix[r, c] == 0)
|
||||||
|
{
|
||||||
|
zerosCount[r + 1] += 1;
|
||||||
|
zerosCount[-c - 1] += 1;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
var best = zerosCount.ToList().OrderByDescending(x => x.Value).FirstOrDefault().Key;
|
||||||
|
|
||||||
|
if (best > 0)
|
||||||
|
{
|
||||||
|
return (Array.IndexOf(rows, best - 1), true);
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
return (Array.IndexOf(columns, -best + 1), false);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
private static long GetSimpleDeterminant(int[,] matrix, List<int> rows, List<int> columns)
|
||||||
|
{
|
||||||
|
if (rows.Count == 1)
|
||||||
|
{
|
||||||
|
return matrix[columns[0], rows[0]];
|
||||||
|
}
|
||||||
|
else if (rows.Count == 2)
|
||||||
|
{
|
||||||
|
return matrix[columns[0], rows[0]] * matrix[columns[1], rows[1]] - matrix[columns[0], rows[1]] * matrix[columns[1], rows[0]];
|
||||||
|
}
|
||||||
|
else if (columns.Count == 3)
|
||||||
|
{
|
||||||
|
return matrix[columns[0], rows[0]] * matrix[columns[1], rows[1]] * matrix[columns[2], rows[2]] +
|
||||||
|
matrix[columns[0], rows[1]] * matrix[columns[1], rows[2]] * matrix[columns[2], rows[0]] +
|
||||||
|
matrix[columns[0], rows[2]] * matrix[columns[1], rows[0]] * matrix[columns[2], rows[1]] -
|
||||||
|
|
||||||
|
matrix[columns[0], rows[2]] * matrix[columns[1], rows[1]] * matrix[columns[2], rows[0]] -
|
||||||
|
matrix[columns[1], rows[0]] * matrix[columns[0], rows[1]] * matrix[columns[2], rows[2]] -
|
||||||
|
matrix[columns[0], rows[0]] * matrix[columns[1], rows[2]] * matrix[columns[2], rows[1]];
|
||||||
|
}
|
||||||
|
throw new Exception();
|
||||||
|
}
|
||||||
|
}
|
||||||
BIN
kuzarin_maxim_lab_6/Images/determinant.png
Normal file
BIN
kuzarin_maxim_lab_6/Images/determinant.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 14 KiB |
15
kuzarin_maxim_lab_6/README.md
Normal file
15
kuzarin_maxim_lab_6/README.md
Normal file
@ -0,0 +1,15 @@
|
|||||||
|
# Лабораторная работа 6
|
||||||
|
Данная работа посвящена параллельному вычислению определителя матриц
|
||||||
|
## Описание
|
||||||
|
Вычисление определителей для матрицы порядка более чем 3, сводится к разложению матрицы по строке (столбцу). Из этого следует, что для нахождения определителя 10-го порядка нужно (в худшем случае) 10 определителей 9-го порядка, что в свою очередь в худшем случае означает, что потребуется 8*9 = 72 определителя 8-го порядка и так далее. Это достаточно трудоёмкая процедура, которую желательно распределить
|
||||||
|
## Запуск
|
||||||
|
Приложение представлет собой консольную программу на C#, которую можно скомпилировать и затем запустит exe файл. В результате в окне консоли появится таблица сравнения времени находления определителя квадратных матриц (размер указан в первой колонке) с использованием разного числа потоков(от 1 до 6). Чем больше размер, тем дольше будет идти расчёт.
|
||||||
|
## Результаты
|
||||||
|
Результаты одного из запусков программы представлены ниже.
|
||||||
|
<br/>
|
||||||
|
|
||||||
|
<br/>
|
||||||
|
Как можно заметить, на небольших размерах распаралеливание приводит только к увеличению времени выполнения (за счёт времени создания Task и синхронизации). Но с ростом размера матрицы использование нескольким потоков начинает приносить значительный выигрыш по производительности. Но в рамках текущей реализации ускориться сильнее определённого предела не получится, что видно из расчёта матрицы 12*12
|
||||||
|
|
||||||
|
## Видеодемонстрация
|
||||||
|
Был записан видеоролик, демонстрирующий процесс запуска и работы системы. Он расположен по [адресу](https://drive.google.com/file/d/1bwJMBa_zKTvZ5PT_xgmrz9SCtEf_ied2/view?usp=sharing)
|
||||||
Loading…
Reference in New Issue
Block a user