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# Отчет по лабораторной работе №5
Выполнила студентка гр. ИСЭбд-41 Зиновьева А. Д.
## Создание приложения
Было выбрано консольное приложение, язык программирования - c#.
Обычный алгоритм:
```cs
static int[,] MultiplyMatrices(int[,] matrixA, int[,] matrixB, int size)
{
int[,] result = new int[size, size];
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
result[i, j] = 0;
for (int k = 0; k < size; k++)
{
result[i, j] += matrixA[i, k] * matrixB[k, j];
}
}
}
return result;
}
```
Параллельный алгоритм:
```cs
static int[,] ParallelMultiplyMatrices(int[,] matrixA, int[,] matrixB, int size, int threads)
{
int[,] result = new int[size, size];
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, i =>
{
for (int j = 0; j < size; j++)
{
result[i, j] = 0;
for (int k = 0; k < size; k++)
{
result[i, j] += matrixA[i, k] * matrixB[k, j];
}
}
});
return result;
}
```
![](pic/Screenshot_1.jpg)
В результате обычный алгоритм выполнился за ``0,0003575`` секунды, а паралелльный за ``0,0193432`` секунды.
## Бенчмарки
Протестируем обычный и параллельный алгоритмы на матрицах различных размеров: 100х100, 300х300 и 500х500.
Количество потоков: ``4``
![](pic/Screenshot_2.jpg)
Количество потоков: ``12``
![](pic/Screenshot_3.jpg)
``Вывод``: Последовательный алгоритм работает быстрее, если количество элементов не слишком большое. Параллельный же алгоритм работает быстрее только при наличии большого количества операций и данных. Оптимальное количество потоков для эффективной работы - 12 (так в сравнении с 4 получилось быстрее).

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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio Version 17
VisualStudioVersion = 17.8.34330.188
MinimumVisualStudioVersion = 10.0.40219.1
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ConsoleAppLab5", "ConsoleAppLab5\ConsoleAppLab5.csproj", "{CDFF1AD9-657F-4234-AF85-CC58971BE2F3}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
Release|Any CPU = Release|Any CPU
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{CDFF1AD9-657F-4234-AF85-CC58971BE2F3}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{CDFF1AD9-657F-4234-AF85-CC58971BE2F3}.Debug|Any CPU.Build.0 = Debug|Any CPU
{CDFF1AD9-657F-4234-AF85-CC58971BE2F3}.Release|Any CPU.ActiveCfg = Release|Any CPU
{CDFF1AD9-657F-4234-AF85-CC58971BE2F3}.Release|Any CPU.Build.0 = Release|Any CPU
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GlobalSection(SolutionProperties) = preSolution
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GlobalSection(ExtensibilityGlobals) = postSolution
SolutionGuid = {5650E7A4-795E-4833-BB0E-0A79A516FD72}
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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net8.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
</PropertyGroup>
</Project>

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using System;
using System.Diagnostics;
using System.Threading.Tasks;
class Program
{
static void Main(string[] args)
{
Console.WriteLine("Выберите задание для выполнения:");
Console.WriteLine("1 - Умножение матриц");
Console.WriteLine("2 - Бенчмарки");
string choice = Console.ReadLine();
if (choice == "1")
{
int threads = GetNumberOfThreads(); // Запрашиваем количество потоков у пользователя
int matrixSize = 10; // Размер матрицы
int[,] matrixA = GenerateRandomMatrix(matrixSize);
int[,] matrixB = GenerateRandomMatrix(matrixSize);
Console.WriteLine("Выполняется обычное умножение матриц...");
Stopwatch stopwatch = Stopwatch.StartNew();
int[,] result1 = MultiplyMatrices(matrixA, matrixB, matrixSize);
stopwatch.Stop();
Console.WriteLine($"Результат (обычное умножение матриц): \n {GetMatrixString(result1)}");
Console.WriteLine($"Время выполнения: {stopwatch.Elapsed.TotalSeconds} секунд \n");
Console.WriteLine("Выполняется параллельное умножение матриц...");
stopwatch.Restart();
int[,] result2 = ParallelMultiplyMatrices(matrixA, matrixB, matrixSize, threads);
stopwatch.Stop();
Console.WriteLine($"Результат (параллельное умножение матриц): \n {GetMatrixString(result2)}");
Console.WriteLine($"Время выполнения: {stopwatch.Elapsed.TotalSeconds} секунд \n");
Console.WriteLine("\nНажмите Enter, чтобы вернуться в главное меню...");
Console.ReadLine();
}
else if (choice == "2")
{
int threads = GetNumberOfThreads(); // Запрашиваем количество потоков у пользователя
Console.WriteLine("\nВыполнение алгоритма на умножение двух матриц размером 100x100:");
RunMatrixMultiplicationBenchmark(100, threads);
Console.WriteLine("\nВыполнение алгоритма на умножение двух матриц размером 300x300:");
RunMatrixMultiplicationBenchmark(300, threads);
Console.WriteLine("\nВыполнение алгоритма на умножение двух матриц размером 500x500:");
RunMatrixMultiplicationBenchmark(500, threads);
Console.ReadLine();
}
else
{
Console.WriteLine("Некорректный выбор.");
Console.WriteLine("\nНажмите Enter, чтобы вернуться в главное меню...");
Console.ReadLine();
}
Console.ReadLine();
}
static int[,] GenerateRandomMatrix(int size)
{
int[,] matrix = new int[size, size];
Random random = new Random();
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
matrix[i, j] = random.Next(1, 10);
}
}
return matrix;
}
static int[,] MultiplyMatrices(int[,] matrixA, int[,] matrixB, int size)
{
int[,] result = new int[size, size];
for (int i = 0; i < size; i++)
{
for (int j = 0; j < size; j++)
{
result[i, j] = 0;
for (int k = 0; k < size; k++)
{
result[i, j] += matrixA[i, k] * matrixB[k, j];
}
}
}
return result;
}
static int[,] ParallelMultiplyMatrices(int[,] matrixA, int[,] matrixB, int size, int threads)
{
int[,] result = new int[size, size];
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, i =>
{
for (int j = 0; j < size; j++)
{
result[i, j] = 0;
for (int k = 0; k < size; k++)
{
result[i, j] += matrixA[i, k] * matrixB[k, j];
}
}
});
return result;
}
static void RunMatrixMultiplicationBenchmark(int size, int threads)
{
// Создание случайных матриц
int[,] matrixA = GenerateRandomMatrix(size);
int[,] matrixB = GenerateRandomMatrix(size);
// Выполнение последовательного алгоритма
double sequentialTime = MeasureExecutionTime(() =>
{
MultiplyMatricesSequential(matrixA, matrixB);
});
Console.WriteLine($"Время выполнения последовательного алгоритма: {sequentialTime} секунд");
// Выполнение параллельного алгоритма
double parallelTime = MeasureExecutionTime(() =>
{
MultiplyMatricesParallel(matrixA, matrixB, threads);
});
Console.WriteLine($"Время выполнения параллельного алгоритма ({threads} потоков): {parallelTime} секунд");
}
static double MeasureExecutionTime(Action action)
{
Stopwatch stopwatch = new Stopwatch();
stopwatch.Start();
action.Invoke();
stopwatch.Stop();
return stopwatch.Elapsed.TotalSeconds;
}
static void MultiplyMatricesSequential(int[,] matrixA, int[,] matrixB)
{
int rowsA = matrixA.GetLength(0);
int colsA = matrixA.GetLength(1);
int colsB = matrixB.GetLength(1);
int[,] result = new int[rowsA, colsB];
for (int i = 0; i < rowsA; i++)
{
for (int j = 0; j < colsB; j++)
{
for (int k = 0; k < colsA; k++)
{
result[i, j] += matrixA[i, k] * matrixB[k, j];
}
}
}
// Возвращаем результат умножения матриц
// (можно не возвращать, если результат не нужен в дальнейшем)
//return result;
}
static void MultiplyMatricesParallel(int[,] matrixA, int[,] matrixB, int threads)
{
int rowsA = matrixA.GetLength(0);
int colsA = matrixA.GetLength(1);
int colsB = matrixB.GetLength(1);
int[,] result = new int[rowsA, colsB];
Parallel.For(0, rowsA, new ParallelOptions { MaxDegreeOfParallelism = threads }, i =>
{
for (int j = 0; j < colsB; j++)
{
for (int k = 0; k < colsA; k++)
{
result[i, j] += matrixA[i, k] * matrixB[k, j];
}
}
});
// Возвращаем результат умножения матриц
// (можно не возвращать, если результат не нужен в дальнейшем)
//return result;
}
//static void BenchmarkMultiplyMatrices(int size, int threads)
//{
// int[,] matrixA = GenerateRandomMatrix(size);
// int[,] matrixB = GenerateRandomMatrix(size);
// Console.WriteLine($"Выполняется умножение матриц {size}x{size}");
// Stopwatch stopwatch = Stopwatch.StartNew();
// MultiplyMatrices(matrixA, matrixB, size);
// stopwatch.Stop();
// Console.WriteLine($"Время выполнения: {stopwatch.ElapsedMilliseconds} миллисекунд");
//}
static int GetNumberOfThreads()
{
int threads = 1;
Console.WriteLine("Введите количество потоков:");
int.TryParse(Console.ReadLine(), out threads);
return threads;
}
static string GetMatrixString(int[,] matrix)
{
int rows = matrix.GetLength(0);
int columns = matrix.GetLength(1);
string matrixString = "";
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < columns; j++)
{
matrixString += matrix[i, j] + " ";
}
matrixString += "\n";
}
return matrixString;
}
}

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