distributed-computing/tasks/melnikov-ky/lab_6/Lab6/Algorithm2.cs

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2023-12-18 18:10:11 +04:00
using System.Diagnostics.CodeAnalysis;
using System.Drawing.Drawing2D;
namespace Lab6
{
public class Alg2
{
public double Begin(double[,] matrixA, int threadCount)
{
int size = matrixA.GetLength(0);
if (size == 1)
{
return matrixA[0, 0];
}
else if (size == 2)
{
return matrixA[0, 0] * matrixA[1, 1] - matrixA[0, 1] * matrixA[1, 0];
}
else
{
double determinant = 0;
object lockObject = new object();
Parallel.For(0, size, new ParallelOptions { MaxDegreeOfParallelism = threadCount }, i =>
{
double[,] subMatrix = GetSubMatrix(matrixA, i);
double subDeterminant = matrixA[0, i] * Determinant(subMatrix);
lock (lockObject)
{
determinant += Math.Pow(-1, i) * subDeterminant;
}
});
return determinant;
}
}
static double[,] GetSubMatrix(double[,] matrix, int columnIndex)
{
int size = matrix.GetLength(0);
double[,] subMatrix = new double[size - 1, size - 1];
for (int i = 1; i < size; i++)
{
for (int j = 0; j < size; j++)
{
if (j < columnIndex)
{
subMatrix[i - 1, j] = matrix[i, j];
}
else if (j > columnIndex)
{
subMatrix[i - 1, j - 1] = matrix[i, j];
}
}
}
return subMatrix;
}
static double Determinant(double[,] matrix)
{
int size = matrix.GetLength(0);
if (size == 1)
{
return matrix[0, 0];
}
else if (size == 2)
{
return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0];
}
else
{
double determinant = 0;
for (int i = 0; i < size; i++)
{
double[,] subMatrix = GetSubMatrix(matrix, i);
determinant += Math.Pow(-1, i) * matrix[0, i] * Determinant(subMatrix);
}
return determinant;
}
}
}
}