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a/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices.sln b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices.sln new file mode 100644 index 0000000..60d5985 --- /dev/null +++ b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices.sln @@ -0,0 +1,25 @@ + +Microsoft Visual Studio Solution File, Format Version 12.00 +# Visual Studio Version 17 +VisualStudioVersion = 17.9.34728.123 +MinimumVisualStudioVersion = 10.0.40219.1 +Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "MultiplicationLargeMatrices", "MultiplicationLargeMatrices\MultiplicationLargeMatrices.csproj", "{8AE2E184-71C6-4F80-A9F3-AC4C4C14E4AF}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {8AE2E184-71C6-4F80-A9F3-AC4C4C14E4AF}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {8AE2E184-71C6-4F80-A9F3-AC4C4C14E4AF}.Debug|Any CPU.Build.0 = Debug|Any CPU + {8AE2E184-71C6-4F80-A9F3-AC4C4C14E4AF}.Release|Any CPU.ActiveCfg = Release|Any CPU + {8AE2E184-71C6-4F80-A9F3-AC4C4C14E4AF}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {41970885-F067-487E-97B2-658775C2625A} + EndGlobalSection +EndGlobal diff --git a/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MatrixMultiplication.cs b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MatrixMultiplication.cs new file mode 100644 index 0000000..b2bec25 --- /dev/null +++ b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MatrixMultiplication.cs @@ -0,0 +1,56 @@ +using System; +using System.Threading.Tasks; + +public class MatrixMultiplication +{ + // Обычный метод умножения матриц + public static int[,] MultiplySequential(int[,] matrixA, int[,] matrixB) + { + int size = matrixA.GetLength(0); + int[,] result = new int[size, size]; + + for (int i = 0; i < size; i++) + { + for (int j = 0; j < size; j++) + { + int sum = 0; + for (int k = 0; k < size; k++) + { + sum += matrixA[i, k] * matrixB[k, j]; + } + result[i, j] = sum; + } + } + + return result; + } + + // Параллельный метод умножения матриц с заданием количества потоков + public static int[,] MultiplyParallel(int[,] matrixA, int[,] matrixB, int threadCount) + { + int size = matrixA.GetLength(0); + int[,] result = new int[size, size]; + int chunkSize = size / threadCount; + + Parallel.For(0, threadCount, threadIndex => + { + int startRow = threadIndex * chunkSize; + int endRow = (threadIndex == threadCount - 1) ? size : startRow + chunkSize; + + for (int i = startRow; i < endRow; i++) + { + for (int j = 0; j < size; j++) + { + int sum = 0; + for (int k = 0; k < size; k++) + { + sum += matrixA[i, k] * matrixB[k, j]; + } + result[i, j] = sum; + } + } + }); + + return result; + } +} diff --git a/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MatrixMultiplicationBenchmark.cs b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MatrixMultiplicationBenchmark.cs new file mode 100644 index 0000000..f2d9e51 --- /dev/null +++ b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MatrixMultiplicationBenchmark.cs @@ -0,0 +1,54 @@ +using System; +using BenchmarkDotNet.Attributes; +using BenchmarkDotNet.Running; + +public class MatrixMultiplicationBenchmark +{ + private int[,] matrixA100, matrixB100; + private int[,] matrixA300, matrixB300; + private int[,] matrixA500, matrixB500; + + // Количество потоков + private int threadCount = 5; + + [GlobalSetup] + public void Setup() + { + matrixA100 = GenerateMatrix(100); + matrixB100 = GenerateMatrix(100); + + matrixA300 = GenerateMatrix(300); + matrixB300 = GenerateMatrix(300); + + matrixA500 = GenerateMatrix(500); + matrixB500 = GenerateMatrix(500); + } + + private int[,] GenerateMatrix(int size) + { + var random = new Random(); + var matrix = new int[size, size]; + for (int i = 0; i < size; i++) + for (int j = 0; j < size; j++) + matrix[i, j] = random.Next(1, 10); + return matrix; + } + + [Benchmark] + public void MultiplySequential100x100() => MatrixMultiplication.MultiplySequential(matrixA100, matrixB100); + + [Benchmark] + public void MultiplyParallel100x100() => MatrixMultiplication.MultiplyParallel(matrixA100, matrixB100, threadCount); + + [Benchmark] + public void MultiplySequential300x300() => MatrixMultiplication.MultiplySequential(matrixA300, matrixB300); + + [Benchmark] + public void MultiplyParallel300x300() => MatrixMultiplication.MultiplyParallel(matrixA300, matrixB300, threadCount); + + [Benchmark] + public void MultiplySequential500x500() => MatrixMultiplication.MultiplySequential(matrixA500, matrixB500); + + [Benchmark] + public void MultiplyParallel500x500() => MatrixMultiplication.MultiplyParallel(matrixA500, matrixB500, threadCount); +} diff --git a/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MultiplicationLargeMatrices.csproj b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MultiplicationLargeMatrices.csproj new file mode 100644 index 0000000..06cfb03 --- /dev/null +++ b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/MultiplicationLargeMatrices.csproj @@ -0,0 +1,14 @@ + + + + Exe + net8.0 + enable + enable + + + + + + + diff --git a/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/Program.cs b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/Program.cs new file mode 100644 index 0000000..a7fb51c --- /dev/null +++ b/yakovleva_yulia_lab_5/MultiplicationLargeMatrices/MultiplicationLargeMatrices/Program.cs @@ -0,0 +1,9 @@ +using BenchmarkDotNet.Running; + +public class Program +{ + public static void Main(string[] args) + { + BenchmarkRunner.Run(); + } +} \ No newline at end of file diff --git a/yakovleva_yulia_lab_5/README.md b/yakovleva_yulia_lab_5/README.md new file mode 100644 index 0000000..311d85d --- /dev/null +++ b/yakovleva_yulia_lab_5/README.md @@ -0,0 +1,38 @@ +# Лабораторная работа №5 - Алгоритмы перемножения матриц + +## Описание +Были реализованы 2 алгоритма для перемножения больших матриц: обычный и параллельный. Для тестирования производительности обоих алгоритмов +был установлен пакет BenchmarkDotNet. + +## Прохождение tutorials: + +# Параметры +Mean: Среднее время выполнения одного теста. + +StdErr (Standard Error): Погрешность среднего времени выполнения. + +N: Количество измерений — 98. Чем больше N, тем точнее статистические результаты. + +StdDev (Standard Deviation): Стандартное отклонение. + +Min и Max: Минимальное и максимальное зафиксированные значения. + +ConfidenceInterval: Доверительный интервал для среднего значения. Это диапазон, в который с высокой вероятностью попадёт среднее значение, если провести ещё одну серию тестов. + +Матрицы 100х100 +![результат работы](./images/image1.jpg) + +Матрицы 300х300 +![результат работы](./images/image2.jpg) + +Матрицы 500х500 +![результат работы](./images/image3.jpg) + +Общий результат +![результат работы](./images/image4.jpg) + +## Вывод +По общему результату мы можем сделать вывод, что Параллельный алгоритм быстрее обычного за счет того, что он распределяет вычисления по нескольким потокам, что позволяет выполнять разные части задачи одновременно. + +## Отчет +Работоспособность: [Видео](https://vk.com/video372869030_456239958?list=ln-gxUH2mdzTSJOvos5g3) \ No newline at end of file diff --git a/yakovleva_yulia_lab_5/images/image1.jpg b/yakovleva_yulia_lab_5/images/image1.jpg new file mode 100644 index 0000000..3ee173b Binary files /dev/null and b/yakovleva_yulia_lab_5/images/image1.jpg differ diff --git a/yakovleva_yulia_lab_5/images/image2.jpg b/yakovleva_yulia_lab_5/images/image2.jpg new file mode 100644 index 0000000..a202730 Binary files /dev/null and b/yakovleva_yulia_lab_5/images/image2.jpg differ diff --git a/yakovleva_yulia_lab_5/images/image3.jpg b/yakovleva_yulia_lab_5/images/image3.jpg new file mode 100644 index 0000000..89ab356 Binary files /dev/null and b/yakovleva_yulia_lab_5/images/image3.jpg differ diff --git a/yakovleva_yulia_lab_5/images/image4.jpg b/yakovleva_yulia_lab_5/images/image4.jpg new file mode 100644 index 0000000..a90382c Binary files /dev/null and b/yakovleva_yulia_lab_5/images/image4.jpg differ