From 6de5160da954df9836af21d93d711faf5418ffbd Mon Sep 17 00:00:00 2001
From: KuzarinM <kuzarinm@mail.ru>
Date: Sun, 22 Sep 2024 22:14:00 +0300
Subject: [PATCH] =?UTF-8?q?=D0=9B=D0=A0=205=20=D0=B3=D0=BE=D1=82=D0=BE?=
 =?UTF-8?q?=D0=B2=D0=B0.?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 kuzarin_maxim_lab_5/.gitignore                | 484 ++++++++++++++++++
 kuzarin_maxim_lab_5/Images/Resouts.png        | Bin 0 -> 31524 bytes
 kuzarin_maxim_lab_5/MatrixMultiplication.sln  |  25 +
 .../MatrixMultiplication.csproj               |  10 +
 .../MatrixMultiplication/Program.cs           | 117 +++++
 kuzarin_maxim_lab_5/README.md                 |  20 +
 6 files changed, 656 insertions(+)
 create mode 100644 kuzarin_maxim_lab_5/.gitignore
 create mode 100644 kuzarin_maxim_lab_5/Images/Resouts.png
 create mode 100644 kuzarin_maxim_lab_5/MatrixMultiplication.sln
 create mode 100644 kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj
 create mode 100644 kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs
 create mode 100644 kuzarin_maxim_lab_5/README.md

diff --git a/kuzarin_maxim_lab_5/.gitignore b/kuzarin_maxim_lab_5/.gitignore
new file mode 100644
index 0000000..104b544
--- /dev/null
+++ b/kuzarin_maxim_lab_5/.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
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+$tf/
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+
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+
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+nCrunchTemp_*
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+# MightyMoose
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+AutoTest.Net/
+
+# Web workbench (sass)
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+
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+# DocProject is a documentation generator add-in
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+!**/[Pp]ackages/build/
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+#!**/[Pp]ackages/repositories.config
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+csx/
+*.build.csdef
+
+# Microsoft Azure Emulator
+ecf/
+rcf/
+
+# Windows Store app package directories and files
+AppPackages/
+BundleArtifacts/
+Package.StoreAssociation.xml
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+*.appx
+*.appxbundle
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+# Visual Studio cache files
+# files ending in .cache can be ignored
+*.[Cc]ache
+# but keep track of directories ending in .cache
+!?*.[Cc]ache/
+
+# Others
+ClientBin/
+~$*
+*~
+*.dbmdl
+*.dbproj.schemaview
+*.jfm
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+*.publishsettings
+orleans.codegen.cs
+
+# Including strong name files can present a security risk
+# (https://github.com/github/gitignore/pull/2483#issue-259490424)
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+# Since there are multiple workflows, uncomment next line to ignore bower_components
+# (https://github.com/github/gitignore/pull/1529#issuecomment-104372622)
+#bower_components/
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+# RIA/Silverlight projects
+Generated_Code/
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+# Backup & report files from converting an old project file
+# to a newer Visual Studio version. Backup files are not needed,
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+*- [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
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+# Visual Studio 6 workspace options file
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+# 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
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+# 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
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+# 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
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+
+# 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
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HcmV?d00001

diff --git a/kuzarin_maxim_lab_5/MatrixMultiplication.sln b/kuzarin_maxim_lab_5/MatrixMultiplication.sln
new file mode 100644
index 0000000..7b9b107
--- /dev/null
+++ b/kuzarin_maxim_lab_5/MatrixMultiplication.sln
@@ -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}") = "MatrixMultiplication", "MatrixMultiplication\MatrixMultiplication.csproj", "{EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Release|Any CPU = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{EF2DB216-9BCD-4FEE-B9C8-4262A5B7CC30}.Release|Any CPU.Build.0 = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {619485C2-FE35-496B-9E25-4F5465D0C1A1}
+	EndGlobalSection
+EndGlobal
diff --git a/kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj b/kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj
new file mode 100644
index 0000000..2150e37
--- /dev/null
+++ b/kuzarin_maxim_lab_5/MatrixMultiplication/MatrixMultiplication.csproj
@@ -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>
diff --git a/kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs b/kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs
new file mode 100644
index 0000000..2a5dc76
--- /dev/null
+++ b/kuzarin_maxim_lab_5/MatrixMultiplication/Program.cs
@@ -0,0 +1,117 @@
+
+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", "7 t", "8 t" };
+
+    private static void Main(string[] args)
+    {
+        Console.WriteLine(string.Join("\t", _resTableColumnsNames));
+
+        for (int i = 10; i < 10000; i *= 2)
+        {
+            var a = CreateMatrix(i, i);
+            var b = CreateMatrix(i, i);
+
+            List<long> times = new() { i };
+
+            for (int j = 1; j <= 8; j++)
+            {
+                var sw = new Stopwatch();
+                sw.Start();
+
+                MultiplyMatrix(a, b, j);
+
+                sw.Stop();
+                times.Add(sw.ElapsedMilliseconds);
+            }
+            Console.WriteLine(string.Join("\t", times));
+        }
+    }
+
+    /// <summary>
+    /// Создаём матрицу случайных элементов 
+    /// </summary>
+    /// <param name="x"></param>
+    /// <param name="y"></param>
+    /// <returns></returns>
+    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;
+    }
+
+    /// <summary>
+    /// Вывести матрицу. Использовался при отладке
+    /// </summary>
+    /// <param name="mx"></param>
+    private static void PrintMatrix(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();
+        }
+    }
+
+    /// <summary>
+    /// Непосредственно умножение матриц
+    /// </summary>
+    /// <param name="a"></param>
+    /// <param name="b"></param>
+    /// <param name="maxTask"></param>
+    /// <returns></returns>
+    private static int[,] MultiplyMatrix(int[,] a, int[,] b, int maxTask)
+    {
+        int[,] res = new int[a.GetLength(0), b.GetLength(1)];
+
+        var semaphore = new SemaphoreSlim(maxTask, maxTask);
+
+        for (int i = 0; i < a.GetLength(0); i++)
+        {
+            for (int j = 0; j < b.GetLength(1); j++)
+            {
+                semaphore.Wait();
+                int ci = i;
+                int cj = j;
+                _ = Task.Run(() =>
+                {
+                    try
+                    {
+                        res[ci, cj] = CalculateElement(a, b, ci, cj);
+                    }
+                    finally
+                    {
+                        semaphore.Release();
+                    }
+                });
+            }
+        }
+        semaphore.Wait(maxTask);
+        return res;
+    }
+
+    /// <summary>
+    /// Вычисление значение одного элемента 
+    /// </summary>
+    /// <param name="a"></param>
+    /// <param name="b"></param>
+    /// <param name="i"></param>
+    /// <param name="j"></param>
+    /// <returns></returns>
+    private static int CalculateElement(int[,] a, int[,] b, int i, int j)
+            => Enumerable.Range(0, a.GetLength(1)).Sum(k => a[i, k] * b[k, j]);
+}
\ No newline at end of file
diff --git a/kuzarin_maxim_lab_5/README.md b/kuzarin_maxim_lab_5/README.md
new file mode 100644
index 0000000..0fb394a
--- /dev/null
+++ b/kuzarin_maxim_lab_5/README.md
@@ -0,0 +1,20 @@
+# Лабораторная работа 5
+Данная работа посвящена параллельному умножению больших матриц (чтобы это был побыстрее)
+## Описание
+Основной принцип умножения матриц: строки умножаются на столбцы, таким образом получаются элементы. И так как значения в строках/столбцах не меняется по ходу алгоритма, его достаточно легко можно распаралелить. 
+
+## 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 умножения 2-х квадратных матриц (размер указан в первой колонке) с использованием разного числа потоков(от 1 до 8). Чем больше размер, тем дольше будет идти расчёт.
+## Результаты
+Результаты одного из запусков программы представлены ниже.
+<br/>
+![Resout](Images/Resouts.png)
+<br/>
+Как можно заметить, на небольших размерах распаралеливание не приносит никакого выигрыша, а иногда даже удлиняет время работы. Это связана с тем, что работы с потоками (запуск, получение результата и т. п.) - требует дополнительного времени, а из-за малого числа операций в целом, получаем не прирост производительности, а её падение.
+Противоположно обстоят дела в случае с большими матрицами. Так как там расчётов значительно больше, распаралеливание начинает значительно ускорять вычисление результата. Причём, часто можно видеть, что, например, увеличения числа потоков с 1 до 2 (в 2 раза) сокращает время в 2 раза. Но чем больше потоков, тем прирост меньше (так как вновь вступают в силу факторы, описанные ранее). И прирост производительности пусть и есть, но он очень небольшой. 
+
+## Видеодемонстрация
+Был записан видеоролик, демонстрирующий процесс запуска и работы системы. Он расположен по [адресу](https://drive.google.com/file/d/1dhA3JUAhhpDUh32xVW7jMuW1BKDX02eV/view?usp=sharing)
+
+
+