c#窗体应用程序txt文档读取数据解求旋转矩阵程序

以下是一个简单的C#窗体应用程序，可以读取一个txt文档中的数据，然后使用解析出来的数据计算并输出旋转矩阵：
using System;
using System.IO;
using System.Windows.Forms;
using System.Linq;

namespace MatrixRotation
{
public partial class Form1 : Form
{
public Form1()
{
InitializeComponent();
}

private void btnBrowse_Click(object sender, EventArgs e)
{
OpenFileDialog openFileDialog1 = new OpenFileDialog();
openFileDialog1.Filter = "Text Files|*.txt";
openFileDialog1.Title = "Select a Text File";

if (openFileDialog1.ShowDialog() == DialogResult.OK)
{
string filePath = openFileDialog1.FileName;
txtFilePath.Text = filePath;
}
}

private void btnCalculate_Click(object sender, EventArgs e)
{
string filePath = txtFilePath.Text;

if (!File.Exists(filePath))
{
MessageBox.Show("File does not exist");
return;
}

string[] lines = File.ReadAllLines(filePath);
double[,] data = new double[lines.Length, 3];

for (int i = 0; i < lines.Length; i++)
{
string[] values = lines[i].Split(new char[] { ' ', '\t' }, StringSplitOptions.RemoveEmptyEntries);

if (values.Length != 3)
{
MessageBox.Show("Invalid data format");
return;
}

for (int j = 0; j < 3; j++)
{
if (!double.TryParse(values[j], out data[i, j]))
{
MessageBox.Show("Invalid data format");
return;
}
}
}

double[,] rotationMatrix = CalculateRotationMatrix(data);

txtMatrix.Text = "";

for (int i = 0; i < 3; i++)
{
for (int j = 0; j < 3; j++)
{
txtMatrix.Text += rotationMatrix[i, j].ToString() + "\t";
}

txtMatrix.Text += "\r\n";
}
}

private double[,] CalculateRotationMatrix(double[,] data)
{
double[,] matrix = new double[3, 3];

double[] centroid = new double[3];

for (int i = 0; i < 3; i++)
{
centroid[i] = data.Cast<double>().Where((x, j) => j % 3 == i).Average();
}

for (int i = 0; i < data.GetLength(0); i++)
{
for (int j = 0; j < 3; j++)
{
data[i, j] -= centroid[j];
}
}

double[,] covarianceMatrix = new double[3, 3];

for (int i = 0; i < 3; i++)
{
for (int j = i; j < 3; j++)
{
double value = data.Cast<double>().Where((x, k) => k % 3 == i).Zip(data.Cast<double>().Where((x, k) => k % 3 == j), (a, b) => a * b).Sum();

covarianceMatrix[i, j] = value;
covarianceMatrix[j, i] = value;
}
}

double[] eigenValues;
double[,] eigenVectors;

MatrixLibrary.Matrix.Eigen(covarianceMatrix, out eigenValues, out eigenVectors);

matrix[0, 0] = eigenVectors[0, 2];
matrix[0, 1] = eigenVectors[1, 2];
matrix[0, 2] = eigenVectors[2, 2];

matrix[1, 0] = eigenVectors[0, 1];
matrix[1, 1] = eigenVectors[1, 1];
matrix[1, 2] = eigenVectors[2, 1];

matrix[2, 0] = eigenVectors[0, 0];
matrix[2, 1] = eigenVectors[1, 0];
matrix[2, 2] = eigenVectors[2, 0];

return matrix;
}
}
}

这个程序有一个文本框和两个按钮，其中一个按钮用于选择txt文件，另一个按钮用于计算旋转矩阵。当用户点击计算按钮时，程序会读取txt文件中的数据，计算旋转矩阵，并将结果显示在文本框中。
程序使用了MatrixLibrary库中的Eigen函数来计算协方差矩阵的特征向量和特征值。这个库可以从NuGet包管理器中获取。