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# Windows shortcuts
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# Vim temporary swap files
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72
tasks/zinoveva-ad/lab_6/README.md
Normal file
72
tasks/zinoveva-ad/lab_6/README.md
Normal file
@ -0,0 +1,72 @@
|
||||
# Отчет по лабораторной работе №6
|
||||
|
||||
Выполнила студентка гр. ИСЭбд-41 Зиновьева А. Д.
|
||||
|
||||
## Создание приложения
|
||||
|
||||
Было выбрано консольное приложение, язык программирования - c#.
|
||||
|
||||
Обычный алгоритм:
|
||||
|
||||
```cs
|
||||
static double CalculateDeterminantSequential(int[,] matrix)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
double determinant = 0;
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
determinant = matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j);
|
||||
}
|
||||
}
|
||||
|
||||
return determinant;
|
||||
}
|
||||
```
|
||||
Параллельный алгоритм:
|
||||
|
||||
```cs
|
||||
static double CalculateDeterminantParallel(int[,] matrix, int threads)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
double determinant = 0;
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
determinant = matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, j =>
|
||||
{
|
||||
determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j);
|
||||
});
|
||||
}
|
||||
|
||||
return determinant;
|
||||
}
|
||||
```
|
||||
|
||||
## Бенчмарки
|
||||
|
||||
Для примера была взята матрица размерностью 10х10, поскольку для матриц больших размеров детерминант вычисляется слишком долго.
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
``Вывод``: Обычный (последовательный) алгоритм работает быстрее, если количество элементов не слишком много. Параллельный же алгоритм работает быстрее только при наличии большого количества операций и данных.
|
||||
@ -0,0 +1,25 @@
|
||||
|
||||
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}") = "ConsoleAppLab6", "ConsoleAppLab6\ConsoleAppLab6.csproj", "{BB915677-B73E-45C7-85DD-F66D7FC9E97E}"
|
||||
EndProject
|
||||
Global
|
||||
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||
Debug|Any CPU = Debug|Any CPU
|
||||
Release|Any CPU = Release|Any CPU
|
||||
EndGlobalSection
|
||||
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||
{BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||
{BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||
{BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||
{BB915677-B73E-45C7-85DD-F66D7FC9E97E}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||
EndGlobalSection
|
||||
GlobalSection(SolutionProperties) = preSolution
|
||||
HideSolutionNode = FALSE
|
||||
EndGlobalSection
|
||||
GlobalSection(ExtensibilityGlobals) = postSolution
|
||||
SolutionGuid = {20D650BB-330E-48AD-8607-6220061D9FDE}
|
||||
EndGlobalSection
|
||||
EndGlobal
|
||||
@ -0,0 +1,10 @@
|
||||
<Project Sdk="Microsoft.NET.Sdk">
|
||||
|
||||
<PropertyGroup>
|
||||
<OutputType>Exe</OutputType>
|
||||
<TargetFramework>net8.0</TargetFramework>
|
||||
<ImplicitUsings>enable</ImplicitUsings>
|
||||
<Nullable>enable</Nullable>
|
||||
</PropertyGroup>
|
||||
|
||||
</Project>
|
||||
@ -0,0 +1,215 @@
|
||||
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 - Нахождение детерминанта квадратной матрицы");
|
||||
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 по нахождению детерминанта квадратной матрицы размером 10x10:");
|
||||
RunDeterminantBenchmark(10, threads);
|
||||
|
||||
Console.ReadLine();
|
||||
}
|
||||
else
|
||||
{
|
||||
Console.WriteLine("Некорректный выбор.");
|
||||
Console.WriteLine("\nНажмите Enter, чтобы вернуться в главное меню...");
|
||||
Console.ReadLine();
|
||||
}
|
||||
Console.ReadLine();
|
||||
}
|
||||
|
||||
static void RunDeterminantBenchmark(int size, int threads)
|
||||
{
|
||||
int[,] matrix = GenerateRandomMatrix(size);
|
||||
|
||||
Console.WriteLine("Исходная матрица:");
|
||||
GetMatrixString(matrix);
|
||||
|
||||
Stopwatch stopwatch = Stopwatch.StartNew();
|
||||
stopwatch.Restart();
|
||||
double sequentialDeterminant = CalculateDeterminantSequential(matrix);
|
||||
stopwatch.Stop();
|
||||
Console.WriteLine($"Последовательное выполнение: детерминант = {sequentialDeterminant}, время выполнения = {stopwatch.Elapsed.TotalSeconds} секунд");
|
||||
|
||||
|
||||
stopwatch.Restart();
|
||||
double parallelDeterminant = CalculateDeterminantParallel(matrix, threads);
|
||||
stopwatch.Stop();
|
||||
Console.WriteLine($"Параллельное выполнение: детерминант = {parallelDeterminant}, время выполнения = {stopwatch.Elapsed.TotalSeconds} секунд");
|
||||
|
||||
}
|
||||
|
||||
static int[,] GenerateRandomMatrix(int size)
|
||||
{
|
||||
Random random = new Random();
|
||||
int[,] matrix = new int[size, size];
|
||||
|
||||
for (int i = 0; i < size; i++)
|
||||
{
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
matrix[i, j] = random.Next(10);
|
||||
}
|
||||
}
|
||||
|
||||
return matrix;
|
||||
}
|
||||
|
||||
static double CalculateDeterminantSequential(int[,] matrix)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
double determinant = 0;
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
determinant = matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j);
|
||||
}
|
||||
}
|
||||
|
||||
return determinant;
|
||||
}
|
||||
|
||||
static double CalculateDeterminantParallel(int[,] matrix, int threads)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
double determinant = 0;
|
||||
|
||||
if (size == 1)
|
||||
{
|
||||
determinant = matrix[0, 0];
|
||||
}
|
||||
else if (size == 2)
|
||||
{
|
||||
determinant = matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
|
||||
}
|
||||
else
|
||||
{
|
||||
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threads }, j =>
|
||||
{
|
||||
determinant += matrix[0, j] * CalculateMinor(matrix, 0, j) * Math.Pow(-1, j);
|
||||
});
|
||||
}
|
||||
|
||||
return determinant;
|
||||
}
|
||||
|
||||
static double CalculateMinor(int[,] matrix, int row, int col)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
int[,] minor = new int[size - 1, size - 1];
|
||||
|
||||
int minorRow = 0;
|
||||
for (int i = 0; i < size; i++)
|
||||
{
|
||||
if (i == row)
|
||||
{
|
||||
continue;
|
||||
}
|
||||
|
||||
int minorCol = 0;
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
if (j == col)
|
||||
{
|
||||
continue;
|
||||
}
|
||||
|
||||
minor[minorRow, minorCol] = matrix[i, j];
|
||||
minorCol++;
|
||||
}
|
||||
|
||||
minorRow++;
|
||||
}
|
||||
|
||||
return CalculateDeterminantSequential(minor);
|
||||
}
|
||||
|
||||
static double MeasureExecutionTime(Action action)
|
||||
{
|
||||
Stopwatch stopwatch = new Stopwatch();
|
||||
stopwatch.Start();
|
||||
action();
|
||||
stopwatch.Stop();
|
||||
|
||||
return stopwatch.Elapsed.TotalSeconds;
|
||||
}
|
||||
|
||||
|
||||
static int GetNumberOfThreads()
|
||||
{
|
||||
int threads = 1;
|
||||
Console.WriteLine("Введите количество потоков:");
|
||||
int.TryParse(Console.ReadLine(), out threads);
|
||||
return threads;
|
||||
}
|
||||
|
||||
static void PrintMatrix(int[,] matrix)
|
||||
{
|
||||
int size = matrix.GetLength(0);
|
||||
for (int i = 0; i < size; i++)
|
||||
{
|
||||
for (int j = 0; j < size; j++)
|
||||
{
|
||||
Console.Write(matrix[i, j] + " ");
|
||||
}
|
||||
Console.WriteLine();
|
||||
}
|
||||
}
|
||||
|
||||
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;
|
||||
}
|
||||
}
|
||||
BIN
tasks/zinoveva-ad/lab_6/pic/pic1.jpg
Normal file
BIN
tasks/zinoveva-ad/lab_6/pic/pic1.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 126 KiB |
Loading…
Reference in New Issue
Block a user