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lab6

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YuriMikhailov 2024-01-08 17:37:47 +04:00
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using System;
using System.Diagnostics;
using System.Threading.Tasks;
class Program
{
static void Main(string[] args)
{
Console.WriteLine("2 - Бенчмарки");
string userChoice = Console.ReadLine();
if (userChoice == "1")
{
// Task 1: Calculate determinant
}
else if (userChoice == "2")
{
int numberOfThreads = GetNumberOfThreads(); // Get the number of threads from the user
Console.WriteLine("\n Вычисление матрицы с размером 10*10:");
RunDeterminantBenchmark(10, numberOfThreads);
Console.ReadLine();
}
else
{
Console.WriteLine("Invalid choice.");
Console.WriteLine("\nPress Enter to return to the main menu...");
Console.ReadLine();
}
Console.ReadLine();
}
static void RunDeterminantBenchmark(int matrixSize, int numberOfThreads)
{
int[,] randomMatrix = GenerateRandomMatrix(matrixSize);
Console.WriteLine("Матрица:");
PrintMatrix(randomMatrix);
Stopwatch stopwatch = Stopwatch.StartNew();
stopwatch.Restart();
double sequentialDeterminant = CalculateDeterminantSequential(randomMatrix);
stopwatch.Stop();
Console.WriteLine($"Обычный: детерминант = {sequentialDeterminant}, время = {stopwatch.Elapsed.TotalSeconds} с");
stopwatch.Restart();
double parallelDeterminant = CalculateDeterminantParallel(randomMatrix, numberOfThreads);
stopwatch.Stop();
Console.WriteLine($"Параллельный: детерминант = {parallelDeterminant}, время = {stopwatch.Elapsed.TotalSeconds} с");
}
static int[,] GenerateRandomMatrix(int size)
{
Random random = new Random();
int[,] matrix = new int[size, size];
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
matrix[i, j] = random.Next(10);
}
}
return matrix;
}
static double CalculateDeterminantSequential(int[,] matrix)
{
int size = matrix.GetLength(0);
double determinant = 0;
if (size == 1)
{
determinant = matrix[0, 0];
}
else if (size == 2)
{
determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
}
else
{
for (int j = 0; j < size; j++)
{
determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j);
}
}
return determinant;
}
static double CalculateDeterminantParallel(int[,] matrix, int threads)
{
int size = matrix.GetLength(0);
double determinant = 0;
if (size == 1)
{
determinant = matrix[0, 0];
}
else if (size == 2)
{
determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
}
else
{
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, j =>
{
determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j);
});
}
return determinant;
}
static double CalculateMinor(int[,] matrix, int row, int col)
{
int size = matrix.GetLength(0);
int[,] minor = new int[size - 1, size - 1];
int minorRow = 0;
for (int i = 0; i < size; i++)
{
if (i == row)
{
continue;
}
int minorCol = 0;
for (int j = 0; j < size; j++)
{
if (j == col)
{
continue;
}
minor[minorRow, minorCol] = matrix[i, j];
minorCol++;
}
minorRow++;
}
return CalculateDeterminantSequential(minor);
}
static int GetNumberOfThreads()
{
int threads = 1;
Console.WriteLine("Кол-во потоков:");
int.TryParse(Console.ReadLine(), out threads);
return threads;
}
static void PrintMatrix(int[,] matrix)
{
int size = matrix.GetLength(0);
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
Console.Write(matrix[i, j] + " ");
}
Console.WriteLine();
}
}
}

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# Отчёт по лабораторной работе №6
Выполнил: студент гр. ИСЭбд-41 Михайлов Юрий.
## Создание приложения
Выбран язык C#.
Запустим алгоритм с матрицей 10x10 c различными алгоритмами.
![](picture/1.png)
## Бенчмарки
Протекстируем обычный и паралелльный с различными размерами матриц.
Матрица 3х3
![](picture/2.png)
Матрица 5х5
![](picture/3.png)
Матрица 10х10
![](picture/1.png)
Вывод: Скоростные возможности параллельного алгоритма проявляются только при значительном количестве операций. В случае, если операций меньше, стандартный алгоритм может оказаться более быстрым.

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