laba done

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Софья Островская 2023-12-17 13:37:17 +04:00
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# Отчет по лабораторной работе №5
Выполнила студентка гр. ИСЭбд-41 Островская С.Ф.
## Создание приложения
Было выбрано консольное приложение, язык программирования - c#.
Обычный алгоритм:
```cs
static int[][] MultiplyMatrix(int[][] matrix1, int[][] matrix2)
{
int rows = matrix1.Length;
int columns = matrix2[0].Length;
int[][] result = new int[rows][];
for (int i = 0; i < rows; i++)
{
result[i] = new int[columns];
for (int j = 0; j < columns; j++)
{
result[i][j] = 0;
for (int k = 0; k < matrix1[i].Length; k++)
{
result[i][j] += matrix1[i][k] * matrix2[k][j];
}
}
}
return result;
}
```
Параллельный алгоритм:
```cs
static int[][] MultiplyMatrixParallel(int[][] matrix1, int[][] matrix2, int numThreads)
{
int rows = matrix1.Length;
int columns = matrix2[0].Length;
int[][] result = new int[rows][];
Parallel.For(0, rows, new ParallelOptions { MaxDegreeOfParallelism = numThreads }, i =>
{
result[i] = new int[columns];
for (int j = 0; j < columns; j++)
{
result[i][j] = 0;
Parallel.For(0, matrix1[i].Length, k =>
{
result[i][j] += matrix1[i][k] * matrix2[k][j];
});
}
});
return result;
}
```
![](pic/pic1.jpg)
![](pic/pic2.jpg)
В результате обычный алгоритм выполнился за ``0,0002112`` секунды, а паралелльный за ``0,0064956`` секунды.
## Бенчмарки
Протестируем обычный и параллельный алгоритмы на матрицах различных размеров: 100х100, 300х300 и 500х500.
Количество потоков: ``4``
![](pic/pic3.jpg)
Количество потоков: ``12``
![](pic/pic4.jpg)
``Вывод``: Обыный алгоритм работает быстрее, если количество элементов не слишком много. Параллельный же алгоритм работает быстрее только при наличии большого количества операций и данных. Оптимальное количество потоков для эффективной работы - 12.

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Microsoft Visual Studio Solution File, Format Version 12.00
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using System;
using System.Threading.Tasks;
using System.Diagnostics;
class Program
{
static void Main()
{
Console.WriteLine("Задания: \n1. проверка умножения матриц;\n2. бэнчмарки;");
Console.Write("Введите номер задания: ");
int numTask = int.Parse(Console.ReadLine());
if (numTask == 1)
{
int[][] matrix1 = GenerateMatrix(10);
int[][] matrix2 = GenerateMatrix(10);
Console.WriteLine();
PrintMatrix(matrix1); // Вывод результата
Console.WriteLine();
PrintMatrix(matrix2); // Вывод результата
// Вводим количество потоков вручную
Console.WriteLine();
Console.Write("Введите количество потоков: ");
int numThreads = int.Parse(Console.ReadLine());
Console.WriteLine();
Stopwatch sw1 = new Stopwatch();
sw1.Start();
int[][] resultSequential = MultiplyMatrix(matrix1, matrix2); // Вызов обычного алгоритма
sw1.Stop();
Stopwatch sw2 = new Stopwatch();
sw2.Start();
int[][] resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads); // Вызов параллельного алгоритма
sw2.Stop();
Console.WriteLine("Выполнение обычного алгоритма");
PrintMatrix(resultSequential); // Вывод результата
TimeSpan elapsedTime1 = sw1.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} с");
Console.WriteLine("\nВыполнение параллельного алгоритма");
PrintMatrix(resultParallel); // Вывод результата
TimeSpan elapsedTime2 = sw2.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
Console.ReadLine();
}
else if (numTask == 2)
{
int[][] matrix1 = GenerateMatrix(100);
int[][] matrix2 = GenerateMatrix(100);
Console.Write("Введите количество потоков: ");
int numThreads = int.Parse(Console.ReadLine());
Console.WriteLine();
Console.WriteLine("Размер матрицы: 100x100");
Console.WriteLine("\nПоследовательный алгоритм:");
Stopwatch sw1 = new Stopwatch();
sw1.Start();
int[][] resultSequential = MultiplyMatrix(matrix1, matrix2);
sw1.Stop();
TimeSpan elapsedTime1 = sw1.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} мс");
Console.WriteLine("\nПараллельный алгоритм:");
Stopwatch sw2 = new Stopwatch();
sw2.Start();
int[][] resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads);
sw2.Stop();
TimeSpan elapsedTime2 = sw2.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
Console.WriteLine("\n------------------------------------------\n");
matrix1 = GenerateMatrix(300);
matrix2 = GenerateMatrix(300);
Console.WriteLine("Размер матрицы: 300x300");
Console.WriteLine("\nПоследовательный алгоритм:");
sw1.Restart();
resultSequential = MultiplyMatrix(matrix1, matrix2);
sw1.Stop();
elapsedTime1 = sw1.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} мс");
Console.WriteLine("\nПараллельный алгоритм:");
sw2.Restart();
resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads);
sw2.Stop();
elapsedTime2 = sw2.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
Console.WriteLine("\n------------------------------------------\n");
matrix1 = GenerateMatrix(500);
matrix2 = GenerateMatrix(500);
Console.WriteLine("Размер матрицы: 500x500");
Console.WriteLine("\nПоследовательный алгоритм:");
sw1.Restart();
resultSequential = MultiplyMatrix(matrix1, matrix2);
sw1.Stop();
elapsedTime1 = sw1.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} мс");
Console.WriteLine("\nПараллельный алгоритм:");
sw2.Restart();
resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads);
sw2.Stop();
elapsedTime2 = sw2.Elapsed;
Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
Console.ReadLine();
}
}
static int[][] GenerateMatrix(int size)
{
Random random = new Random();
int[][] matrix = new int[size][];
for (int i = 0; i < size; i++)
{
matrix[i] = new int[size];
for (int j = 0; j < size; j++)
{
matrix[i][j] = random.Next(1, 100);
}
}
return matrix;
}
static int[][] MultiplyMatrix(int[][] matrix1, int[][] matrix2)
{
int rows = matrix1.Length;
int columns = matrix2[0].Length;
int[][] result = new int[rows][];
for (int i = 0; i < rows; i++)
{
result[i] = new int[columns];
for (int j = 0; j < columns; j++)
{
result[i][j] = 0;
for (int k = 0; k < matrix1[i].Length; k++)
{
result[i][j] += matrix1[i][k] * matrix2[k][j];
}
}
}
return result;
}
static int[][] MultiplyMatrixParallel(int[][] matrix1, int[][] matrix2, int numThreads)
{
int rows = matrix1.Length;
int columns = matrix2[0].Length;
int[][] result = new int[rows][];
Parallel.For(0, rows, new ParallelOptions { MaxDegreeOfParallelism = numThreads }, i =>
{
result[i] = new int[columns];
for (int j = 0; j < columns; j++)
{
result[i][j] = 0;
Parallel.For(0, matrix1[i].Length, k =>
{
result[i][j] += matrix1[i][k] * matrix2[k][j];
});
}
});
return result;
}
static void PrintMatrix(int[][] matrix)
{
for (int i = 0; i < matrix.Length; i++)
{
for (int j = 0; j < matrix[i].Length; j++)
{
Console.Write(matrix[i][j] + " ");
}
Console.WriteLine();
}
}
}

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net8.0</TargetFramework>
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<Nullable>enable</Nullable>
</PropertyGroup>
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