Merge pull request '[Л/Р 6] Островская Софья' (#96) from ostrovsofa/distributed-computing:ostrovskaya-sf-lab-6 into main
Reviewed-on: http://student.git.athene.tech/v.moiseev/distributed-computing/pulls/96
This commit is contained in:
commit
5844b9b63c
66
tasks/ostrovskaya-sf/lab_6/README.md
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# Отчет по лабораторной работе №6
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Выполнила студентка гр. ИСЭбд-41 Островская С. Ф.
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## Создание приложения
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Было выбрано консольное приложение, язык программирования - c#.
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Обычный алгоритм:
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```cs
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static void SequentialDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit)
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{
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int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit);
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Stopwatch stopwatch = new Stopwatch();
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stopwatch.Start();
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int result = Determinant(randomMatrix);
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stopwatch.Stop();
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TimeSpan elapsedTime = stopwatch.Elapsed;
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Console.WriteLine($"Последовательный детерминант: {result}");
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Console.WriteLine($"Последовательное время: {elapsedTime.TotalSeconds:F7} секунд");
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}
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```
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Параллельный алгоритм:
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```cs
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static void ParallelDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit, int numProcesses)
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{
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int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit);
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int[][] matricesToProcess = new int[matrixSize][];
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for (int col = 0; col < matrixSize; col++)
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{
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matricesToProcess[col] = Submatrix(randomMatrix, 0, col)[0];
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}
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Stopwatch stopwatch = new Stopwatch();
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stopwatch.Start();
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int[] determinants = new int[matrixSize];
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Parallel.For(0, matrixSize, new ParallelOptions { MaxDegreeOfParallelism = numProcesses }, col =>
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{
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determinants[col] = Determinant(new int[][] { matricesToProcess[col] });
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});
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int result = 0;
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for (int col = 0; col < matrixSize; col++)
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{
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result += ((-1) * col) * randomMatrix[0][col] * determinants[col];
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}
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stopwatch.Stop();
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TimeSpan elapsedTime = stopwatch.Elapsed;
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Console.WriteLine($"Параллельный детерминант: {result}");
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Console.WriteLine($"Параллельное время: {elapsedTime.TotalSeconds:F7} секунд");
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}
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```
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## Бенчмарки
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Для примера была взята матрица размерностью 10х10, поскольку для матриц больших размеров детерминант вычисляется слишком долго.
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``Вывод``: Обыный алгоритм работает быстрее, если количество элементов не слишком много. Параллельный же алгоритм работает быстрее только при наличии большого количества операций и данных.
|
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25
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix.sln
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tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix.sln
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Microsoft Visual Studio Solution File, Format Version 12.00
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# Visual Studio Version 17
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VisualStudioVersion = 17.8.34330.188
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|
||||||
|
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "lab_6_matrix", "lab_6_matrix\lab_6_matrix.csproj", "{50F84649-668E-464D-94A9-7C36E1FCB2FF}"
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Global
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|
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{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.Build.0 = Release|Any CPU
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GlobalSection(SolutionProperties) = preSolution
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HideSolutionNode = FALSE
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EndGlobalSection
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SolutionGuid = {45DFA84B-6962-4667-98B3-13BD962CF727}
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EndGlobalSection
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EndGlobal
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484
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/.gitignore
vendored
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484
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/.gitignore
vendored
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||||||
|
**/*.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
|
||||||
|
$RECYCLE.BIN/
|
||||||
|
|
||||||
|
# Windows Installer files
|
||||||
|
*.cab
|
||||||
|
*.msi
|
||||||
|
*.msix
|
||||||
|
*.msm
|
||||||
|
*.msp
|
||||||
|
|
||||||
|
# Windows shortcuts
|
||||||
|
*.lnk
|
||||||
|
|
||||||
|
# Vim temporary swap files
|
||||||
|
*.swp
|
||||||
135
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs
Normal file
135
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs
Normal file
@ -0,0 +1,135 @@
|
|||||||
|
using System;
|
||||||
|
using System.Diagnostics;
|
||||||
|
using System.Threading.Tasks;
|
||||||
|
|
||||||
|
class Program
|
||||||
|
{
|
||||||
|
static void SequentialDeterminantCalculation(int matrixSize, int lowerLimit, int upperLimit)
|
||||||
|
{
|
||||||
|
int[][] randomMatrix = GenerateRandomMatrix(matrixSize, lowerLimit, upperLimit);
|
||||||
|
|
||||||
|
Stopwatch stopwatch = new Stopwatch();
|
||||||
|
stopwatch.Start();
|
||||||
|
int result = Determinant(randomMatrix);
|
||||||
|
stopwatch.Stop();
|
||||||
|
TimeSpan elapsedTime = stopwatch.Elapsed;
|
||||||
|
Console.WriteLine($"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]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
@ -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>
|
||||||
BIN
tasks/ostrovskaya-sf/lab_6/pic/pic1.jpg
Normal file
BIN
tasks/ostrovskaya-sf/lab_6/pic/pic1.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 82 KiB |
Loading…
Reference in New Issue
Block a user