Merge pull request '[Л/Р 6] Савицкий Александр' (#88) from Savitskiy_ISEbd-41/distributed-computing:savitskiy_av_lab6 into main
Reviewed-on: http://student.git.athene.tech/v.moiseev/distributed-computing/pulls/88
This commit is contained in:
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tasks/savitskiy-al/lab_6/.gitignore
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tasks/savitskiy-al/lab_6/.gitignore
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25
tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1.sln
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|
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MinimumVisualStudioVersion = 10.0.40219.1
|
||||
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ConsoleApp1", "ConsoleApp1\ConsoleApp1.csproj", "{24793D16-F80E-48B2-8A04-76BD2CB61C1C}"
|
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{24793D16-F80E-48B2-8A04-76BD2CB61C1C}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
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|
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|
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|
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|
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|
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|
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@ -0,0 +1,14 @@
|
||||
<Project Sdk="Microsoft.NET.Sdk">
|
||||
|
||||
<PropertyGroup>
|
||||
<OutputType>Exe</OutputType>
|
||||
<TargetFramework>net8.0</TargetFramework>
|
||||
<ImplicitUsings>enable</ImplicitUsings>
|
||||
<Nullable>enable</Nullable>
|
||||
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|
||||
|
||||
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|
||||
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|
||||
</ItemGroup>
|
||||
|
||||
</Project>
|
||||
@ -0,0 +1,110 @@
|
||||
namespace ConsoleApp1
|
||||
{
|
||||
|
||||
public class MatrixService
|
||||
{
|
||||
|
||||
static readonly Random rand = new Random();
|
||||
|
||||
object lockObject = new object();
|
||||
|
||||
|
||||
public double[,] RandomGenerateMatrix(int dimensionsCount)
|
||||
{
|
||||
double[,] result = new double[dimensionsCount, dimensionsCount];
|
||||
for (int i = 0; i < dimensionsCount; i++)
|
||||
{
|
||||
for (int j = 0; j < dimensionsCount; j++)
|
||||
{
|
||||
result[i, j] = rand.NextDouble() * 10;
|
||||
}
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
public double DeterminantOfMatrix(double[,] matrix, int threadCount)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
return matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
double determinant = 0;
|
||||
|
||||
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threadCount },
|
||||
(i) =>
|
||||
{
|
||||
double[,] subMatrix = GetSubMatrix(matrix, i);
|
||||
double subDeterminant = matrix[0, i] * Determinant(subMatrix);
|
||||
double value = Math.Pow(-1, i) * subDeterminant;
|
||||
lock (lockObject)
|
||||
{
|
||||
determinant += value;
|
||||
}
|
||||
});
|
||||
|
||||
return determinant;
|
||||
}
|
||||
}
|
||||
|
||||
static double[,] GetSubMatrix(double[,] matrix, int columnIndex)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
double[,] subMatrix = new double[size - 1, size - 1];
|
||||
|
||||
for (int i = 1; i < size; i++)
|
||||
{
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
if (j < columnIndex)
|
||||
{
|
||||
subMatrix[i - 1, j] = matrix[i, j];
|
||||
}
|
||||
else if (j > columnIndex)
|
||||
{
|
||||
subMatrix[i - 1, j - 1] = matrix[i, j];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return subMatrix;
|
||||
}
|
||||
|
||||
static double Determinant(double[,] matrix)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
return matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
double determinant = 0;
|
||||
|
||||
for (int i = 0; i < size; i++)
|
||||
{
|
||||
double[,] subMatrix = GetSubMatrix(matrix, i);
|
||||
|
||||
determinant += (int)Math.Pow(-1, i) * matrix[0, i] * Determinant(subMatrix);
|
||||
}
|
||||
|
||||
return determinant;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
83
tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/Program.cs
Normal file
83
tasks/savitskiy-al/lab_6/ConsoleApp1/ConsoleApp1/Program.cs
Normal file
@ -0,0 +1,83 @@
|
||||
using BenchmarkDotNet.Attributes;
|
||||
using BenchmarkDotNet.Running;
|
||||
using ConsoleApp1;
|
||||
|
||||
BenchmarkRunner.Run<MatrixTest>();
|
||||
|
||||
//var matrixService = new MatrixService();
|
||||
|
||||
//var matrix = matrixService.RandomGenerateMatrix(3);
|
||||
|
||||
//for(int i = 0; i < matrix.GetLength(0); i++)
|
||||
//{
|
||||
// for (int j = 0; j < matrix.GetLength(0); j++)
|
||||
// {
|
||||
// Console.Write(matrix[i, j] + " ");
|
||||
// }
|
||||
// Console.WriteLine();
|
||||
//}
|
||||
|
||||
//var result1 = matrixService.DeterminantOfMatrix(matrix, 1);
|
||||
//var result2 = matrixService.DeterminantOfMatrix(matrix, 12);
|
||||
|
||||
//Console.WriteLine(result1);
|
||||
//Console.WriteLine(result2);
|
||||
//Console.ReadLine();
|
||||
|
||||
[MemoryDiagnoser]
|
||||
public class MatrixTest
|
||||
{
|
||||
double[,] Matrix5;
|
||||
double[,] Matrix8;
|
||||
double[,] Matrix11;
|
||||
|
||||
|
||||
MatrixService matrixService;
|
||||
|
||||
|
||||
public MatrixTest()
|
||||
{
|
||||
matrixService = new MatrixService();
|
||||
|
||||
Matrix5 = matrixService.RandomGenerateMatrix(5);
|
||||
Matrix8 = matrixService.RandomGenerateMatrix(8);
|
||||
Matrix11 = matrixService.RandomGenerateMatrix(11);
|
||||
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public double MatrixDeterminant5()
|
||||
{
|
||||
return matrixService.DeterminantOfMatrix(Matrix5, 1);
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public double MatrixDeterminantParallel5()
|
||||
{
|
||||
return matrixService.DeterminantOfMatrix(Matrix5, 12);
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public double MatrixDeterminant8()
|
||||
{
|
||||
return matrixService.DeterminantOfMatrix(Matrix8, 1);
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public double MatrixDeterminantParallel8()
|
||||
{
|
||||
return matrixService.DeterminantOfMatrix(Matrix8, 12);
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public double MatrixDeterminant11()
|
||||
{
|
||||
return matrixService.DeterminantOfMatrix(Matrix11, 1);
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public double MatrixDeterminantParallel11()
|
||||
{
|
||||
return matrixService.DeterminantOfMatrix(Matrix11, 12);
|
||||
}
|
||||
}
|
||||
108
tasks/savitskiy-al/lab_6/README.md
Normal file
108
tasks/savitskiy-al/lab_6/README.md
Normal file
@ -0,0 +1,108 @@
|
||||
# Отчет по лабораторной работе №6
|
||||
|
||||
Выполнил студент гр. ИСЭбд-41 Савицкий А.В.
|
||||
|
||||
## Создание приложения
|
||||
|
||||
Выбрал язык C#, Консольное приложение.
|
||||
Установил библиотеку BenchmarkDotNet для замера производительности.
|
||||
|
||||
Сам алгоритм.
|
||||
``` cs
|
||||
public double DeterminantOfMatrix(double[,] matrix, int threadCount)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
return matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
double determinant = 0;
|
||||
|
||||
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threadCount },
|
||||
(i) =>
|
||||
{
|
||||
double[,] subMatrix = GetSubMatrix(matrix, i);
|
||||
double subDeterminant = matrix[0, i] * Determinant(subMatrix);
|
||||
double value = Math.Pow(-1, i) * subDeterminant;
|
||||
lock (lockObject)
|
||||
{
|
||||
determinant += value;
|
||||
}
|
||||
});
|
||||
|
||||
return determinant;
|
||||
}
|
||||
}
|
||||
|
||||
static double[,] GetSubMatrix(double[,] matrix, int columnIndex)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
double[,] subMatrix = new double[size - 1, size - 1];
|
||||
|
||||
for (int i = 1; i < size; i++)
|
||||
{
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
if (j < columnIndex)
|
||||
{
|
||||
subMatrix[i - 1, j] = matrix[i, j];
|
||||
}
|
||||
else if (j > columnIndex)
|
||||
{
|
||||
subMatrix[i - 1, j - 1] = matrix[i, j];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return subMatrix;
|
||||
}
|
||||
|
||||
static double Determinant(double[,] matrix)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
return matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
double determinant = 0;
|
||||
|
||||
for (int i = 0; i < size; i++)
|
||||
{
|
||||
double[,] subMatrix = GetSubMatrix(matrix, i);
|
||||
|
||||
determinant += (int)Math.Pow(-1, i) * matrix[0, i] * Determinant(subMatrix);
|
||||
}
|
||||
|
||||
return determinant;
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
Проверка работы на матрице 3х3
|
||||
|
||||
|
||||
## Бенчмарки
|
||||
|
||||
Протестируем обычный и параллельный алгоритм определение детерминанта на различной размерности матрицы.
|
||||
|
||||
В ходе экспериментов было установлено, что обработка матрицы размеров больше 12х12 занимает слишком много времени, поэтому для тестирования возьмем матрицы 5х5, 8х8 и 11х11.
|
||||
|
||||
Для тестирование запускаю алгоритм в 1 поток и в 12 потоков
|
||||
|
||||
|
||||
|
||||
Вывод: Параллельный алгоритм работает быстрее только при наличии большого количества операций. Если операций не так много, то обычный алгоритм справляется быстрее.
|
||||
BIN
tasks/savitskiy-al/lab_6/pic/1.png
Normal file
BIN
tasks/savitskiy-al/lab_6/pic/1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 73 KiB |
BIN
tasks/savitskiy-al/lab_6/pic/2.png
Normal file
BIN
tasks/savitskiy-al/lab_6/pic/2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 25 KiB |
Loading…
Reference in New Issue
Block a user