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int[] sizes = { 100, 300, 500, 700, 1000 }; + + // Максимальное количество потоков + int maxThreads = 20; + + foreach (var size in sizes) + { + Console.WriteLine($"\nРазмер матрицы: {size}x{size}"); + + // Генерация двух матриц + var matrixA = GenerateMatrix(size); + var matrixB = GenerateMatrix(size); + + // Последовательное умножение + var stopwatch = Stopwatch.StartNew(); + var resultSequential = MultiplyMatricesSequential(matrixA, matrixB); + stopwatch.Stop(); + long timeSequential = stopwatch.ElapsedMilliseconds; + Console.WriteLine($"Последовательное умножение: {timeSequential} мс"); + + // Параллельное умножение с разным количеством потоков + Console.WriteLine("Параллельное умножение (время выполнения для каждого количества потоков):"); + for (int threads = 1; threads <= maxThreads; threads++) + { + stopwatch.Restart(); + var resultParallel = MultiplyMatricesParallel(matrixA, matrixB, threads); + stopwatch.Stop(); + long timeParallel = stopwatch.ElapsedMilliseconds; + Console.WriteLine($"Потоков: {threads} — {timeParallel} мс"); + } + } + } + + // Генерация квадратной матрицы размером size x size + static double[,] GenerateMatrix(int size) + { + var random = new Random(); + var matrix = new double[size, size]; + for (int i = 0; i < size; i++) + for (int j = 0; j < size; j++) + matrix[i, j] = random.NextDouble(); + return matrix; + } + + // Последовательное умножение матриц + static double[,] MultiplyMatricesSequential(double[,] matrixA, double[,] matrixB) + { + int size = matrixA.GetLength(0); + var result = new double[size, size]; + + for (int i = 0; i < size; i++) + { + for (int j = 0; j < size; j++) + { + for (int k = 0; k < size; k++) + { + result[i, j] += matrixA[i, k] * matrixB[k, j]; + } + } + } + return result; + } + + // Параллельное умножение матриц + static double[,] MultiplyMatricesParallel(double[,] matrixA, double[,] matrixB, int threadCount) + { + int size = matrixA.GetLength(0); + var result = new double[size, size]; + + Parallel.For(0, threadCount, threadIndex => + { + int rowsPerThread = size / threadCount; + int startRow = threadIndex * rowsPerThread; + int endRow = (threadIndex == threadCount - 1) ? size : startRow + rowsPerThread; + + for (int i = startRow; i < endRow; i++) + { + for (int j = 0; j < size; j++) + { + for (int k = 0; k < size; k++) + { + result[i, j] += matrixA[i, k] * matrixB[k, j]; + } + } + } + }); + + return result; + } +} diff --git a/aleikin_artem_lab_5/readme.md b/aleikin_artem_lab_5/readme.md new file mode 100644 index 0000000..8a04fdc --- /dev/null +++ b/aleikin_artem_lab_5/readme.md @@ -0,0 +1,16 @@ +# Лабораторная работа 5 - Параллельное умножение матриц +## ПИбд-42 || Алейкин Артем + +### Описание +В данной лабораторной работе мы вспоминали математику и работу с матрицами. + +### Отчет +Написав алгоритм для перемножения матриц, как последовательно, так и в многопоточном режиме, получаю следующие графики времени. +![Матрицы 100х100 и 300х300](./Images/Отчет1.png) +![Матрицы 500х500 и 700х700](./Images/Отчет2.png) +![Матрица 1000х1000](./Images/Отчет3.png) + +Выводы: последовательное выполнение выполняет вычисления довольно медленно. +В многопоточном формате каждый поток ускоряет вычисления по закону убывающей полезности. + +Видео демонстрации работы: https://vk.com/video248424990_456239612?list=ln-mPzeO3z06S0FiqGXsz \ No newline at end of file