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zVoOttHH*P_e8FkH;Jd!ydx_xt{A`&oHuOP)DKr0J6l^R#^ic&i`uO_ + + + Exe + net8.0 + enable + enable + + + + + + + diff --git a/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/Program.cs b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/Program.cs new file mode 100644 index 0000000..80aab69 --- /dev/null +++ b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/Program.cs @@ -0,0 +1,243 @@ +using System.Diagnostics; +using MathNet.Numerics.LinearAlgebra; + +class Program +{ + static void Main() + { + Console.WriteLine("Введите количество потоков:"); + string input = Console.ReadLine(); + + + if (!int.TryParse(input, out int threadCount)) + { + Console.WriteLine("Введено некорректное значение, будет использовано значение по умолчанию: 4"); + threadCount = 4; + } + + // Генерация матриц + int[,] matrixA100 = GenerateMatrix(100, 100); + int[,] matrixB100 = GenerateMatrix(100, 100); + + int[,] matrixA300 = GenerateMatrix(300, 300); + int[,] matrixB300 = GenerateMatrix(300, 300); + + int[,] matrixA500 = GenerateMatrix(500, 500); + int[,] matrixB500 = GenerateMatrix(500, 500); + + // Счетчики для расчета среднего + long totalTimeSeq100 = 0, totalTimePar100 = 0; + long totalTimeSeq300 = 0, totalTimePar300 = 0; + long totalTimeSeq500 = 0, totalTimePar500 = 0; + long totalMemorySeq100 = 0, totalMemoryPar100 = 0; + long totalMemorySeq300 = 0, totalMemoryPar300 = 0; + long totalMemorySeq500 = 0, totalMemoryPar500 = 0; + + int iterations = 10; + + for (int i = 0; i < iterations; i++) + { + Console.WriteLine($"Прогон #{i + 1}:\n"); + + // 100x100 + var (timeSeq100, memSeq100, timePar100, memPar100) = TestMatrixOperation(matrixA100, matrixB100, threadCount); + totalTimeSeq100 += timeSeq100; + totalTimePar100 += timePar100; + totalMemorySeq100 += memSeq100; + totalMemoryPar100 += memPar100; + + // 300x300 + var (timeSeq300, memSeq300, timePar300, memPar300) = TestMatrixOperation(matrixA300, matrixB300, threadCount); + totalTimeSeq300 += timeSeq300; + totalTimePar300 += timePar300; + totalMemorySeq300 += memSeq300; + totalMemoryPar300 += memPar300; + + // 500x500 + var (timeSeq500, memSeq500, timePar500, memPar500) = TestMatrixOperation(matrixA500, matrixB500, threadCount); + totalTimeSeq500 += timeSeq500; + totalTimePar500 += timePar500; + totalMemorySeq500 += memSeq500; + totalMemoryPar500 += memPar500; + } + + // Вывод средних значений + Console.WriteLine($"\nСреднее время (мс) и расход памяти (байт) для последовательного и параллельного умножения матриц:"); + + Console.WriteLine($"100x100: Последовательно: Время: {totalTimeSeq100 / iterations} мс, Память: {totalMemorySeq100 / iterations} байт"); + Console.WriteLine($"100x100: Параллельно: Время: {totalTimePar100 / iterations} мс, Память: {totalMemoryPar100 / iterations} байт"); + + Console.WriteLine($"300x300: Последовательно: Время: {totalTimeSeq300 / iterations} мс, Память: {totalMemorySeq300 / iterations} байт"); + Console.WriteLine($"300x300: Параллельно: Время: {totalTimePar300 / iterations} мс, Память: {totalMemoryPar300 / iterations} байт"); + + Console.WriteLine($"500x500: Последовательно: Время: {totalTimeSeq500 / iterations} мс, Память: {totalMemorySeq500 / iterations} байт"); + Console.WriteLine($"500x500: Параллельно: Время: {totalTimePar500 / iterations} мс, Память: {totalMemoryPar500 / iterations} байт"); + } + + /// + /// Генерация матрицы + /// + /// + /// + /// + static int[,] GenerateMatrix(int rows, int cols) + { + var random = new Random(); + int[,] matrix = new int[rows, cols]; + + for (int i = 0; i < rows; i++) + { + for (int j = 0; j < cols; j++) + { + matrix[i, j] = random.Next(100); //Гененрируем значение матриц до 100 + } + } + + return matrix; + } + + /// + /// Последовательная обработка матрицы + /// + /// + /// + /// + static int[,] MultiplyMatricesSequential(int[,] a, int[,] b) + { + int aRows = a.GetLength(0); + int aCols = a.GetLength(1); + int bCols = b.GetLength(1); + var result = new int[aRows, bCols]; + + for (int i = 0; i < aRows; i++) + { + for (int j = 0; j < bCols; j++) + { + for (int k = 0; k < aCols; k++) + { + result[i, j] += a[i, k] * b[k, j]; + } + } + } + + return result; + } + + /// + /// Параллельный обработка матрицы + /// + /// + /// + /// + /// + static int[,] MultiplyMatricesParallel(int[,] a, int[,] b, int threadCount) + { + int aRows = a.GetLength(0); + int bCols = b.GetLength(1); + var result = new int[aRows, bCols]; + + Parallel.For(0, aRows, new ParallelOptions { MaxDegreeOfParallelism = threadCount }, i => + { + for (int j = 0; j < bCols; j++) + { + int sum = 0; + for (int k = 0; k < a.GetLength(1); k++) + { + sum += a[i, k] * b[k, j]; + } + result[i, j] = sum; + } + }); + + return result; + } + + static void PrintMatrix(int[,] matrix) + { + int rows = matrix.GetLength(0); + int cols = matrix.GetLength(1); + + for (int i = 0; i < rows; i++) + { + for (int j = 0; j < cols; j++) + { + Console.Write(matrix[i, j] + "\t"); + } + Console.WriteLine(); + } + } + + /// + /// Проверка матриц на совместимость к умножениям + /// + /// + /// + /// + static bool CanMultiplyMatrices(int[,] a, int[,] b) + { + return a.GetLength(1) == b.GetLength(0); + } + + + /// + /// Для проверки корректного расчета умножения матриц + /// + /// + /// + static Matrix ConvertToMathNetMatrix(int[,] matrix) + { + int rows = matrix.GetLength(0); + int cols = matrix.GetLength(1); + var result = Matrix.Build.Dense(rows, cols); + + for (int i = 0; i < rows; i++) + { + for (int j = 0; j < cols; j++) + { + result[i, j] = matrix[i, j]; + } + } + + return result; + } + + /// + /// Подсчет времени и потребляемой памяти, высчитывание точного времени + /// + /// + /// + /// + /// + static (long, long, long, long) TestMatrixOperation(int[,] a, int[,] b, int threadCount) + { + if (!CanMultiplyMatrices(a, b)) + { + Console.WriteLine("Матрицы несовместимы для умножения."); + return (0, 0, 0, 0); + } + + Stopwatch stopwatch = new(); + + // Последовательное умножение + long memoryBeforeSeq = GC.GetTotalMemory(true); + stopwatch.Start(); + var resultSequential = MultiplyMatricesSequential(a, b); + stopwatch.Stop(); + long memoryAfterSeq = GC.GetTotalMemory(true); + long timeSeq = stopwatch.ElapsedMilliseconds; + long memoryUsedSeq = memoryAfterSeq - memoryBeforeSeq; + Console.WriteLine($"Последовательно: Время: {timeSeq} мс, Память: {memoryUsedSeq} байт"); + + // Параллельное умножение + long memoryBeforePar = GC.GetTotalMemory(true); + stopwatch.Restart(); + var resultParallel = MultiplyMatricesParallel(a, b, threadCount); + stopwatch.Stop(); + long memoryAfterPar = GC.GetTotalMemory(true); + long timePar = stopwatch.ElapsedMilliseconds; + long memoryUsedPar = memoryAfterPar - memoryBeforePar; + Console.WriteLine($"Параллельно: Время: {timePar} мс, Память: {memoryUsedPar} байт"); + + return (timeSeq, memoryUsedSeq, timePar, memoryUsedPar); + } +} diff --git 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zByBW78zwRgC>`X8jbngwOq{^lq>JnsNDGBAP%x&`#V{S@f|oCvPPd&-2Tj9tusj)H z-A5CO6GU=1B6%K>Ttg&(AX3bUlole@n@HV9q`n~1hBA5>6DSP+XAYsrf&X*y-LUS# z&}Bf4%BUZ}&^4iL;-v|F9|r%wM+5cIW%r`0 +using System; +using System.Reflection; +[assembly: global::System.Runtime.Versioning.TargetFrameworkAttribute(".NETCoreApp,Version=v8.0", FrameworkDisplayName = ".NET 8.0")] diff --git a/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.AssemblyInfo.cs b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.AssemblyInfo.cs new file mode 100644 index 0000000..39ec8ed --- /dev/null +++ b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.AssemblyInfo.cs @@ -0,0 +1,23 @@ +//------------------------------------------------------------------------------ +// +// Этот код создан программой. +// Исполняемая версия:4.0.30319.42000 +// +// Изменения в этом файле могут привести к неправильной работе и будут потеряны в случае +// повторной генерации кода. +// +//------------------------------------------------------------------------------ + +using System; +using System.Reflection; + +[assembly: System.Reflection.AssemblyCompanyAttribute("MatrixMultiplication")] +[assembly: System.Reflection.AssemblyConfigurationAttribute("Debug")] +[assembly: System.Reflection.AssemblyFileVersionAttribute("1.0.0.0")] +[assembly: System.Reflection.AssemblyInformationalVersionAttribute("1.0.0+a346187851ddda07b6b4d0de75645f9c8d61bee4")] +[assembly: System.Reflection.AssemblyProductAttribute("MatrixMultiplication")] +[assembly: System.Reflection.AssemblyTitleAttribute("MatrixMultiplication")] +[assembly: System.Reflection.AssemblyVersionAttribute("1.0.0.0")] + +// Создано классом WriteCodeFragment MSBuild. + diff --git a/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.AssemblyInfoInputs.cache b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.AssemblyInfoInputs.cache new file mode 100644 index 0000000..9c3e18d --- /dev/null +++ b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.AssemblyInfoInputs.cache @@ -0,0 +1 @@ +7a58be475266d06789e6aa68f62ed05f94075de5902763bf6799d85f69fada57 diff --git a/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.GeneratedMSBuildEditorConfig.editorconfig b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.GeneratedMSBuildEditorConfig.editorconfig new file mode 100644 index 0000000..016e563 --- /dev/null +++ b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.GeneratedMSBuildEditorConfig.editorconfig @@ -0,0 +1,13 @@ +is_global = true +build_property.TargetFramework = net8.0 +build_property.TargetPlatformMinVersion = +build_property.UsingMicrosoftNETSdkWeb = +build_property.ProjectTypeGuids = +build_property.InvariantGlobalization = +build_property.PlatformNeutralAssembly = +build_property.EnforceExtendedAnalyzerRules = +build_property._SupportedPlatformList = Linux,macOS,Windows +build_property.RootNamespace = MatrixMultiplication +build_property.ProjectDir = D:\Документы\GitHub\DAS_2023_1\almukhammetov_bulat_lab_5\MatrixMultiplication\MatrixMultiplication\ +build_property.EnableComHosting = +build_property.EnableGeneratedComInterfaceComImportInterop = diff --git a/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.GlobalUsings.g.cs b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.GlobalUsings.g.cs new file mode 100644 index 0000000..8578f3d --- /dev/null +++ b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.GlobalUsings.g.cs @@ -0,0 +1,8 @@ +// +global using global::System; +global using global::System.Collections.Generic; +global using global::System.IO; +global using global::System.Linq; +global using global::System.Net.Http; +global using global::System.Threading; +global using global::System.Threading.Tasks; diff --git a/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.assets.cache b/almukhammetov_bulat_lab_5/MatrixMultiplication/MatrixMultiplication/obj/Debug/net8.0/MatrixMultiplication.assets.cache new file mode 100644 index 0000000000000000000000000000000000000000..a98ef7f85c1e0f5c36ab189d201e3a0820d8bd99 GIT binary patch literal 887 zcmcIi%}&BV5JqkJQNaqtgBQ+TTB1P{Zv-M~M1lyOdMWLQjoY7ew?-a8;|p-};1l>P z>dly#7%#qno}7g?A(ey^n|#^s&e!>7XTJ7vqq?3*Bt|b^Z|_AZ`Lz8wQg&WXcg>&s z+mEL7T)Gn67Id)q1L0|Q|(}{9}rD;f&nni(~T>A093PecIg1aYa4va 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"C:\\Users\\73bul\\.nuget\\packages\\mathnet.numerics\\5.0.0\\mathnet.numerics.5.0.0.nupkg.sha512" + ], + "logs": [] +} \ No newline at end of file diff --git a/almukhammetov_bulat_lab_5/README.md b/almukhammetov_bulat_lab_5/README.md new file mode 100644 index 0000000..9b36443 --- /dev/null +++ b/almukhammetov_bulat_lab_5/README.md @@ -0,0 +1,232 @@ +Альмухамметов ПИбд-42 + +Описание программы: + +1. Ввод количества потоков: Программа начинается с запроса у пользователя количества потоков, которые будут использоваться в параллельных вычислениях. +Если введено некорректное значение, используется значение по умолчанию (4). + +2. Генерация матриц: Программа генерирует три пары квадратных матриц разных размеров (100x100, 300x300, 500x500). Значения в матрицах генерируются случайным образом.1 + +3. Тестирование умножения матриц: Для каждой пары матриц проводится серия из 10 итераций умножения, где каждая итерация включает как последовательное, +так и параллельное умножение. + +4. Подсчет времени и использования памяти: Для каждого умножения измеряется время выполнения и потребление памяти. Используется класс Stopwatch для измерения времени и +GC.GetTotalMemory для оценки использования памяти. + +5. Вывод результатов: По окончании тестирования программа выводит средние значения времени выполнения и потребления памяти для последовательного и параллельного умножения +для каждого размера матриц. + +6. Методы умножения матриц: Реализованы два метода умножения - MultiplyMatricesSequential для последовательного умножения и MultiplyMatricesParallel для параллельного. +Параллельное умножение использует Parallel.For с заданным количеством потоков. + +7. Проверка совместимости матриц: Программа проверяет матрицы на совместимость для умножения (число столбцов первой матрицы должно быть равно числу строк второй). + +8. функции: Включают генерацию матриц (GenerateMatrix), печать матрицы (PrintMatrix) и конвертацию матрицы в формат MathNet.Numerics.LinearAlgebra.Matrix для проверки +корректности умножения (ConvertToMathNetMatrix). + +9. Тестирование операций над матрицами: TestMatrixOperation интегрирует функциональность вышеупомянутых методов, выполняя умножение и собирая статистические данные. + +Результаты тестирования: + +Введите количество потоков: +2 +Прогон #1: + +Последовательно: Время: 13 мс, Память: 39656 байт +Параллельно: Время: 37 мс, Память: 45536 байт +Последовательно: Время: 313 мс, Память: 359992 байт +Параллельно: Время: 168 мс, Память: 360040 байт +Последовательно: Время: 1497 мс, Память: 1000576 байт +Параллельно: Время: 839 мс, Память: 1000288 байт +Прогон #2: + +Последовательно: Время: 11 мс, Память: 40040 байт +Параллельно: Время: 8 мс, Память: 40040 байт +Последовательно: Время: 340 мс, Память: 360576 байт +Параллельно: Время: 163 мс, Память: 360040 байт +Последовательно: Время: 1560 мс, Память: 1000576 байт +Параллельно: Время: 799 мс, Память: 1000040 байт +Прогон #3: + +Последовательно: Время: 9 мс, Память: 40040 байт +Параллельно: Время: 6 мс, Память: 40040 байт +Последовательно: Время: 253 мс, Память: 360576 байт +Параллельно: Время: 154 мс, Память: 360040 байт +Последовательно: Время: 916 мс, Память: 1000576 байт +Параллельно: Время: 485 мс, Память: 1000040 байт +Прогон #4: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 4 мс, Память: 40040 байт +Последовательно: Время: 184 мс, Память: 360040 байт +Параллельно: Время: 118 мс, Память: 360576 байт +Последовательно: Время: 900 мс, Память: 1000040 байт +Параллельно: Время: 518 мс, Память: 1000576 байт +Прогон #5: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 5 мс, Память: 40040 байт +Последовательно: Время: 182 мс, Память: 360040 байт +Параллельно: Время: 117 мс, Память: 360040 байт +Последовательно: Время: 912 мс, Память: 1000576 байт +Параллельно: Время: 534 мс, Память: 1000576 байт +Прогон #6: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 4 мс, Память: 40040 байт +Последовательно: Время: 188 мс, Память: 360040 байт +Параллельно: Время: 95 мс, Память: 360040 байт +Последовательно: Время: 1046 мс, Память: 1000576 байт +Параллельно: Время: 539 мс, Память: 1000576 байт +Прогон #7: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 7 мс, Память: 40040 байт +Последовательно: Время: 183 мс, Память: 360040 байт +Параллельно: Время: 115 мс, Память: 360040 байт +Последовательно: Время: 878 мс, Память: 1000576 байт +Параллельно: Время: 546 мс, Память: 1000040 байт +Прогон #8: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 6 мс, Память: 40040 байт +Последовательно: Время: 193 мс, Память: 360576 байт +Параллельно: Время: 105 мс, Память: 360040 байт +Последовательно: Время: 1019 мс, Память: 1000576 байт +Параллельно: Время: 506 мс, Память: 1000040 байт +Прогон #9: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 4 мс, Память: 40040 байт +Последовательно: Время: 180 мс, Память: 360040 байт +Параллельно: Время: 137 мс, Память: 360576 байт +Последовательно: Время: 968 мс, Память: 1000040 байт +Параллельно: Время: 485 мс, Память: 1000576 байт +Прогон #10: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 6 мс, Память: 40040 байт +Последовательно: Время: 186 мс, Память: 360040 байт +Параллельно: Время: 114 мс, Память: 360040 байт +Последовательно: Время: 1020 мс, Память: 1000576 байт +Параллельно: Время: 531 мс, Память: 1000576 байт + +Среднее время (мс) и расход памяти (байт) для последовательного и параллельного умножения матриц: +100x100: Последовательно: Время: 7 мс, Память: 40001 байт +100x100: Параллельно: Время: 8 мс, Память: 40589 байт +300x300: Последовательно: Время: 220 мс, Память: 360196 байт +300x300: Параллельно: Время: 128 мс, Память: 360147 байт +500x500: Последовательно: Время: 1071 мс, Память: 1000468 байт +500x500: Параллельно: Время: 578 мс, Память: 1000332 байт + + +Введите количество потоков: +4 +Прогон #1: + +Последовательно: Время: 14 мс, Память: 39656 байт +Параллельно: Время: 45 мс, Память: 46448 байт +Последовательно: Время: 400 мс, Память: 359992 байт +Параллельно: Время: 355 мс, Память: 361216 байт +Последовательно: Время: 1603 мс, Память: 1000576 байт +Параллельно: Время: 533 мс, Память: 1000040 байт +Прогон #2: + +Последовательно: Время: 10 мс, Память: 40040 байт +Параллельно: Время: 4 мс, Память: 40040 байт +Последовательно: Время: 333 мс, Память: 360576 байт +Параллельно: Время: 167 мс, Память: 360088 байт +Последовательно: Время: 1608 мс, Память: 1000576 байт +Параллельно: Время: 480 мс, Память: 1000040 байт +Прогон #3: + +Последовательно: Время: 11 мс, Память: 40040 байт +Параллельно: Время: 4 мс, Память: 40040 байт +Последовательно: Время: 321 мс, Память: 360040 байт +Параллельно: Время: 114 мс, Память: 360040 байт +Последовательно: Время: 1299 мс, Память: 1000576 байт +Параллельно: Время: 356 мс, Память: 1000040 байт +Прогон #4: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 3 мс, Память: 40040 байт +Последовательно: Время: 268 мс, Память: 360040 байт +Параллельно: Время: 73 мс, Память: 360040 байт +Последовательно: Время: 877 мс, Память: 1000576 байт +Параллельно: Время: 347 мс, Память: 1000576 байт +Прогон #5: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 3 мс, Память: 40040 байт +Последовательно: Время: 192 мс, Память: 360040 байт +Параллельно: Время: 69 мс, Память: 360040 байт +Последовательно: Время: 1063 мс, Память: 1000576 байт +Параллельно: Время: 345 мс, Память: 1000040 байт +Прогон #6: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 3 мс, Память: 40040 байт +Последовательно: Время: 189 мс, Память: 360576 байт +Параллельно: Время: 69 мс, Память: 360040 байт +Последовательно: Время: 885 мс, Память: 1000576 байт +Параллельно: Время: 308 мс, Память: 1000040 байт +Прогон #7: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 3 мс, Память: 40040 байт +Последовательно: Время: 178 мс, Память: 360040 байт +Параллельно: Время: 68 мс, Память: 360040 байт +Последовательно: Время: 878 мс, Память: 1000576 байт +Параллельно: Время: 298 мс, Память: 1000040 байт +Прогон #8: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 1 мс, Память: 40040 байт +Последовательно: Время: 185 мс, Память: 360576 байт +Параллельно: Время: 83 мс, Память: 360040 байт +Последовательно: Время: 884 мс, Память: 1000040 байт +Параллельно: Время: 293 мс, Память: 1000576 байт +Прогон #9: + +Последовательно: Время: 7 мс, Память: 40040 байт +Параллельно: Время: 2 мс, Память: 40040 байт +Последовательно: Время: 175 мс, Память: 360040 байт +Параллельно: Время: 85 мс, Память: 360040 байт +Последовательно: Время: 895 мс, Память: 1000576 байт +Параллельно: Время: 327 мс, Память: 1000040 байт +Прогон #10: + +Последовательно: Время: 6 мс, Память: 40040 байт +Параллельно: Время: 2 мс, Память: 40040 байт +Последовательно: Время: 178 мс, Память: 360040 байт +Параллельно: Время: 56 мс, Память: 360576 байт +Последовательно: Время: 928 мс, Память: 1000040 байт +Параллельно: Время: 282 мс, Память: 1000576 байт + +Среднее время (мс) и расход памяти (байт) для последовательного и параллельного умножения матриц: +100x100: Последовательно: Время: 7 мс, Память: 40001 байт +100x100: Параллельно: Время: 7 мс, Память: 40680 байт +300x300: Последовательно: Время: 241 мс, Память: 360196 байт +300x300: Параллельно: Время: 113 мс, Память: 360216 байт +500x500: Последовательно: Время: 1092 мс, Память: 1000468 байт +500x500: Параллельно: Время: 356 мс, Память: 1000200 байт + +На основе предоставленных результатов можно сделать несколько важных наблюдений относительно последовательного и параллельного умножения матриц: + +1. Параллельное умножение матриц показывает лучшую производительность по сравнению с последовательным, особенно для матриц большего размера. +Это видно из сравнения времени выполнения: например, для матриц 500x500 время сокращается с 1071 мс до 578 мс при использовании 2 потоков и до 356 мс при использовании 4 потоков. + +2. Для маленьких матриц (100x100), разница в производительности между последовательным и параллельным умножением не так заметна. +Это может быть связано с накладными расходами на создание и управление дополнительными потоками, которые не окупаются на малых объёмах данных. + +3. Увеличение числа потоков с 2 до 4 приводит к дальнейшему улучшению времени выполнения в параллельных вычислениях. +Это подчеркивает важность выбора оптимального количества потоков для конкретной задачи и конфигурации оборудования. + +4. Расход памяти при последовательном и параллельном умножении схож, что указывает на то, что параллельное выполнение не приводит к значительному увеличению потребления памяти. +Это положительный момент, поскольку параллельные вычисления часто ассоциируются с более высоким расходом ресурсов. + +В целом, эти результаты демонстрируют преимущества использования параллельных вычислений для улучшения производительности, особенно на больших объемах данных. + Однако важно учитывать накладные расходы и выбирать количество потоков, оптимальное для конкретной задачи и оборудования. + +Видео: +https://vk.com/video228053206_456240782 \ No newline at end of file

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