c# 向量处理几何图形代码

以下是一个简单的 C# 向量处理几何图形的代码示例：

using System;

public struct Vector2D
{
    public double x;
    public double y;

    public Vector2D(double x, double y)
    {
        this.x = x;
        this.y = y;
    }

    public static Vector2D operator +(Vector2D v1, Vector2D v2)
    {
        return new Vector2D(v1.x + v2.x, v1.y + v2.y);
    }

    public static Vector2D operator -(Vector2D v1, Vector2D v2)
    {
        return new Vector2D(v1.x - v2.x, v1.y - v2.y);
    }

    public static double Dot(Vector2D v1, Vector2D v2)
    {
        return v1.x * v2.x + v1.y * v2.y;
    }

    public static double Cross(Vector2D v1, Vector2D v2)
    {
        return v1.x * v2.y - v1.y * v2.x;
    }

    public static double Magnitude(Vector2D v)
    {
        return Math.Sqrt(v.x * v.x + v.y * v.y);
    }

    public static Vector2D Normalize(Vector2D v)
    {
        double magnitude = Magnitude(v);
        return new Vector2D(v.x / magnitude, v.y / magnitude);
    }

    public static double Distance(Vector2D v1, Vector2D v2)
    {
        double dx = v2.x - v1.x;
        double dy = v2.y - v1.y;
        return Math.Sqrt(dx * dx + dy * dy);
    }
}

public class Program
{
    public static void Main(string[] args)
    {
        // 创建两个向量
        Vector2D v1 = new Vector2D(1, 2);
        Vector2D v2 = new Vector2D(3, 4);

        // 求和
        Vector2D v3 = v1 + v2;

        // 求差
        Vector2D v4 = v2 - v1;

        // 点积
        double dot = Vector2D.Dot(v1, v2);

        // 叉积
        double cross = Vector2D.Cross(v1, v2);

        // 向量长度
        double magnitude = Vector2D.Magnitude(v1);

        // 向量归一化
        Vector2D v5 = Vector2D.Normalize(v1);

        // 两向量间距离
        double distance = Vector2D.Distance(v1, v2);

        // 输出结果
        Console.WriteLine("v3 = ({0}, {1})", v3.x, v3.y);
        Console.WriteLine("v4 = ({0}, {1})", v4.x, v4.y);
        Console.WriteLine("dot = {0}", dot);
        Console.WriteLine("cross = {0}", cross);
        Console.WriteLine("magnitude = {0}", magnitude);
        Console.WriteLine("v5 = ({0}, {1})", v5.x, v5.y);
        Console.WriteLine("distance = {0}", distance);
    }
}

这个代码示例定义了一个名为 `Vector2D` 的结构体，其中包含了向量的各种操作，包括向量的加减、点积、叉积、长度、归一化和距离等。在 `Main` 函数中，我们使用这些操作来对两个向量进行处理，并输出结果。