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。