[Л/Р 6] Островская Софья #96
66
tasks/ostrovskaya-sf/lab_6/README.md
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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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MinimumVisualStudioVersion = 10.0.40219.1
|
||||
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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||||
EndProject
|
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Global
|
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|
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{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
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{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Debug|Any CPU.Build.0 = Debug|Any CPU
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{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.ActiveCfg = Release|Any CPU
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{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.Build.0 = Release|Any CPU
|
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|
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|
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HideSolutionNode = FALSE
|
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|
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|
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SolutionGuid = {45DFA84B-6962-4667-98B3-13BD962CF727}
|
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EndGlobalSection
|
||||
EndGlobal
|
||||
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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@ -0,0 +1,484 @@
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||||
.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