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ostrovskay
...
ostrovskay
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f75432d5f7 | ||
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267ba3b73c |
@@ -1,73 +0,0 @@
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# Отчет по лабораторной работе №5
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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 int[][] MultiplyMatrix(int[][] matrix1, int[][] matrix2)
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{
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int rows = matrix1.Length;
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int columns = matrix2[0].Length;
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int[][] result = new int[rows][];
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for (int i = 0; i < rows; i++)
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{
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result[i] = new int[columns];
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for (int j = 0; j < columns; j++)
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{
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result[i][j] = 0;
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for (int k = 0; k < matrix1[i].Length; k++)
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{
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result[i][j] += matrix1[i][k] * matrix2[k][j];
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}
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}
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}
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return result;
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}
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```
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Параллельный алгоритм:
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```cs
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static int[][] MultiplyMatrixParallel(int[][] matrix1, int[][] matrix2, int numThreads)
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{
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int rows = matrix1.Length;
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int columns = matrix2[0].Length;
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int[][] result = new int[rows][];
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Parallel.For(0, rows, new ParallelOptions { MaxDegreeOfParallelism = numThreads }, i =>
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{
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result[i] = new int[columns];
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for (int j = 0; j < columns; j++)
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{
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result[i][j] = 0;
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Parallel.For(0, matrix1[i].Length, k =>
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{
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result[i][j] += matrix1[i][k] * matrix2[k][j];
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});
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}
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});
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return result;
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}
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```
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В результате обычный алгоритм выполнился за ``0,0002112`` секунды, а паралелльный за ``0,0064956`` секунды.
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## Бенчмарки
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Протестируем обычный и параллельный алгоритмы на матрицах различных размеров: 100х100, 300х300 и 500х500.
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Количество потоков: ``4``
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Количество потоков: ``12``
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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. Оптимальное количество потоков для эффективной работы - 12.
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@@ -1,192 +0,0 @@
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using System;
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using System.Threading.Tasks;
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using System.Diagnostics;
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class Program
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{
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static void Main()
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{
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Console.WriteLine("Задания: \n1. проверка умножения матриц;\n2. бэнчмарки;");
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Console.Write("Введите номер задания: ");
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int numTask = int.Parse(Console.ReadLine());
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if (numTask == 1)
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{
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int[][] matrix1 = GenerateMatrix(10);
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int[][] matrix2 = GenerateMatrix(10);
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Console.WriteLine();
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PrintMatrix(matrix1); // Вывод результата
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Console.WriteLine();
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PrintMatrix(matrix2); // Вывод результата
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// Вводим количество потоков вручную
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Console.WriteLine();
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Console.Write("Введите количество потоков: ");
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int numThreads = int.Parse(Console.ReadLine());
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Console.WriteLine();
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Stopwatch sw1 = new Stopwatch();
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sw1.Start();
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int[][] resultSequential = MultiplyMatrix(matrix1, matrix2); // Вызов обычного алгоритма
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sw1.Stop();
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Stopwatch sw2 = new Stopwatch();
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sw2.Start();
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int[][] resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads); // Вызов параллельного алгоритма
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sw2.Stop();
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Console.WriteLine("Выполнение обычного алгоритма");
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PrintMatrix(resultSequential); // Вывод результата
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TimeSpan elapsedTime1 = sw1.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} с");
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Console.WriteLine("\nВыполнение параллельного алгоритма");
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PrintMatrix(resultParallel); // Вывод результата
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TimeSpan elapsedTime2 = sw2.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
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Console.ReadLine();
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}
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else if (numTask == 2)
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{
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int[][] matrix1 = GenerateMatrix(100);
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int[][] matrix2 = GenerateMatrix(100);
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Console.Write("Введите количество потоков: ");
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int numThreads = int.Parse(Console.ReadLine());
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Console.WriteLine();
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Console.WriteLine("Размер матрицы: 100x100");
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Console.WriteLine("\nПоследовательный алгоритм:");
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Stopwatch sw1 = new Stopwatch();
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sw1.Start();
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int[][] resultSequential = MultiplyMatrix(matrix1, matrix2);
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sw1.Stop();
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TimeSpan elapsedTime1 = sw1.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} мс");
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Console.WriteLine("\nПараллельный алгоритм:");
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Stopwatch sw2 = new Stopwatch();
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sw2.Start();
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int[][] resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads);
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sw2.Stop();
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TimeSpan elapsedTime2 = sw2.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
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Console.WriteLine("\n------------------------------------------\n");
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matrix1 = GenerateMatrix(300);
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matrix2 = GenerateMatrix(300);
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Console.WriteLine("Размер матрицы: 300x300");
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Console.WriteLine("\nПоследовательный алгоритм:");
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sw1.Restart();
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resultSequential = MultiplyMatrix(matrix1, matrix2);
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sw1.Stop();
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elapsedTime1 = sw1.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} мс");
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Console.WriteLine("\nПараллельный алгоритм:");
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sw2.Restart();
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resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads);
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sw2.Stop();
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elapsedTime2 = sw2.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
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Console.WriteLine("\n------------------------------------------\n");
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matrix1 = GenerateMatrix(500);
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matrix2 = GenerateMatrix(500);
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Console.WriteLine("Размер матрицы: 500x500");
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Console.WriteLine("\nПоследовательный алгоритм:");
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sw1.Restart();
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resultSequential = MultiplyMatrix(matrix1, matrix2);
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sw1.Stop();
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elapsedTime1 = sw1.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime1.TotalSeconds:F7} мс");
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Console.WriteLine("\nПараллельный алгоритм:");
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sw2.Restart();
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resultParallel = MultiplyMatrixParallel(matrix1, matrix2, numThreads);
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sw2.Stop();
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elapsedTime2 = sw2.Elapsed;
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Console.WriteLine($"Время выполнения: {elapsedTime2.TotalSeconds:F7} с");
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Console.ReadLine();
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}
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}
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static int[][] GenerateMatrix(int size)
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{
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Random random = new Random();
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int[][] matrix = new int[size][];
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for (int i = 0; i < size; i++)
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{
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matrix[i] = new int[size];
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for (int j = 0; j < size; j++)
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{
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matrix[i][j] = random.Next(1, 100);
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}
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}
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return matrix;
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}
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static int[][] MultiplyMatrix(int[][] matrix1, int[][] matrix2)
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{
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int rows = matrix1.Length;
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int columns = matrix2[0].Length;
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int[][] result = new int[rows][];
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for (int i = 0; i < rows; i++)
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{
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result[i] = new int[columns];
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for (int j = 0; j < columns; j++)
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{
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result[i][j] = 0;
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for (int k = 0; k < matrix1[i].Length; k++)
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{
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result[i][j] += matrix1[i][k] * matrix2[k][j];
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}
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}
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}
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return result;
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}
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static int[][] MultiplyMatrixParallel(int[][] matrix1, int[][] matrix2, int numThreads)
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{
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int rows = matrix1.Length;
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int columns = matrix2[0].Length;
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int[][] result = new int[rows][];
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Parallel.For(0, rows, new ParallelOptions { MaxDegreeOfParallelism = numThreads }, i =>
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{
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result[i] = new int[columns];
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for (int j = 0; j < columns; j++)
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{
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result[i][j] = 0;
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Parallel.For(0, matrix1[i].Length, k =>
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{
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result[i][j] += matrix1[i][k] * matrix2[k][j];
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});
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}
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});
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return result;
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}
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static void PrintMatrix(int[][] matrix)
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{
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for (int i = 0; i < matrix.Length; i++)
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{
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for (int j = 0; j < matrix[i].Length; j++)
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{
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Console.Write(matrix[i][j] + " ");
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}
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Console.WriteLine();
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}
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}
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}
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@@ -1,67 +0,0 @@
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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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@@ -3,7 +3,7 @@ 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_5_matrix", "lab_5_matrix\lab_5_matrix.csproj", "{A71D963B-1625-458C-A90F-5DB95C03B17C}"
|
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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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GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
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@@ -11,15 +11,15 @@ Global
|
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Release|Any CPU = Release|Any CPU
|
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EndGlobalSection
|
||||
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||
{A71D963B-1625-458C-A90F-5DB95C03B17C}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||
{A71D963B-1625-458C-A90F-5DB95C03B17C}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||
{A71D963B-1625-458C-A90F-5DB95C03B17C}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||
{A71D963B-1625-458C-A90F-5DB95C03B17C}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||
{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||
{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||
{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||
{50F84649-668E-464D-94A9-7C36E1FCB2FF}.Release|Any CPU.Build.0 = Release|Any CPU
|
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EndGlobalSection
|
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GlobalSection(SolutionProperties) = preSolution
|
||||
HideSolutionNode = FALSE
|
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EndGlobalSection
|
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GlobalSection(ExtensibilityGlobals) = postSolution
|
||||
SolutionGuid = {1A186ABB-2B32-4398-9A58-04ED799B0B80}
|
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SolutionGuid = {45DFA84B-6962-4667-98B3-13BD962CF727}
|
||||
EndGlobalSection
|
||||
EndGlobal
|
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135
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs
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135
tasks/ostrovskaya-sf/lab_6/lab_6_matrix/lab_6_matrix/Program.cs
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using System;
|
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using System.Diagnostics;
|
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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]);
|
||||
}
|
||||
}
|
||||
}
|
||||
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.
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Reference in New Issue
Block a user