C# -随机旋转多边形

using System;
using System.Collections.Generic;

class Program
{
    static void Main(string[] args)
    {
        // 定义多边形的顶点坐标
        List<Point> polygon = new List<Point>()
        {
            new Point(0, 0),
            new Point(1, 0),
            new Point(1, 1),
            new Point(0, 1)
        };

        // 计算多边形的中心点
        Point center = CalculateCenter(polygon);

        // 随机生成旋转角度
        Random random = new Random();
        double angle = random.NextDouble() * 360;

        // 进行旋转变换
        List<Point> rotatedPolygon = RotatePolygon(polygon, center, angle);

        // 输出旋转后的多边形顶点坐标
        foreach (Point point in rotatedPolygon)
        {
            Console.WriteLine("x: {0}, y: {1}", point.X, point.Y);
        }
    }

    // 计算多边形的中心点
    static Point CalculateCenter(List<Point> polygon)
    {
        double sumX = 0;
        double sumY = 0;

        foreach (Point point in polygon)
        {
            sumX += point.X;
            sumY += point.Y;
        }

        double centerX = sumX / polygon.Count;
        double centerY = sumY / polygon.Count;

        return new Point(centerX, centerY);
    }

    // 进行旋转变换
    static List<Point> RotatePolygon(List<Point> polygon, Point center, double angle)
    {
        List<Point> rotatedPolygon = new List<Point>();

        double radians = angle * Math.PI / 180; // 将角度转换为弧度

        foreach (Point point in polygon)
        {
            double x = (point.X - center.X) * Math.Cos(radians) - (point.Y - center.Y) * Math.Sin(radians) + center.X;
            double y = (point.X - center.X) * Math.Sin(radians) + (point.Y - center.Y) * Math.Cos(radians) + center.Y;

            rotatedPolygon.Add(new Point(x, y));
        }

        return rotatedPolygon;
    }
}

// 定义一个表示点的类
class Point
{
    public double X { get; set; }
    public double Y { get; set; }

    public Point(double x, double y)
    {
        X = x;
        Y = y;
    }
}