如何做正确的多边形旋转？(在C#中,虽然它适用于任何东西)

using System;

class Program
{
    static void Main(string[] args)
    {
        // 定义多边形的顶点坐标
        int[] x = { 0, 1, 1, 0 };
        int[] y = { 0, 0, 1, 1 };

        // 计算多边形的中心点
        int centerX = 0, centerY = 0;
        for (int i = 0; i < x.Length; i++)
        {
            centerX += x[i];
            centerY += y[i];
        }
        centerX /= x.Length;
        centerY /= y.Length;

        // 将顶点坐标转换为相对于中心点的坐标
        for (int i = 0; i < x.Length; i++)
        {
            x[i] -= centerX;
            y[i] -= centerY;
        }

        // 定义旋转角度（以弧度为单位）
        double angle = Math.PI / 4; // 45度

        // 应用旋转变换
        for (int i = 0; i < x.Length; i++)
        {
            int newX = (int)(x[i] * Math.Cos(angle) - y[i] * Math.Sin(angle));
            int newY = (int)(x[i] * Math.Sin(angle) + y[i] * Math.Cos(angle));
            x[i] = newX;
            y[i] = newY;
        }

        // 将顶点坐标转换回原始坐标系
        for (int i = 0; i < x.Length; i++)
        {
            x[i] += centerX;
            y[i] += centerY;
        }

        // 输出旋转后的多边形顶点坐标
        for (int i = 0; i < x.Length; i++)
        {
            Console.WriteLine("顶点 {0}: ({1}, {2})", i + 1, x[i], y[i]);
        }
    }
}