c#封装三维向量，另外也看了下别人的C++封装

一、 c#实现

/*    Vector3 Definition    Created by taotao man on 2016-4-12    brief:封装三位向量类Vector3    // 修改记录：    date:    add SetA()    Change GetA();*/using System;using System.Collections.Generic;using System.Linq;using System.Text;using System.Threading.Tasks;namespace ceshi{    public class Vector3    {        private float x;        private float y;        private float z;        private const float E = 0.0000001f;        public float X        {            set { x = value; }            get { return x; }        }        public float Y        {            set { y = value; }            get { return y; }        }        public float Z        {            set { z = value; }            get { return z; }        }        public Vector3(float x, float y, float z)        {            this.x = x;            this.y = y;            this.z = z;        }        public Vector3(Vector3 vct)        {            this.x = vct.x;            this.y = vct.y;            this.z = vct.z;        }        //向量加法        public static Vector3 operator +(Vector3 a, Vector3 b)        {            Vector3 result = new Vector3(a.x + b.x , a.y + b.y, a.z +b.z);            return result;        }        //向量减法        public static Vector3 operator -(Vector3 a, Vector3 b)        {            Vector3 result = new Vector3(a.x - b.x, a.y - b.y, a.z - b.z);            return result;        }                     //向量除以一个数        public static Vector3 operator /(Vector3 a, float b)        {            if (b != 0)            {                return new Vector3(a.x / b, a.y / b, a.z / b);            }            else            {                return new Vector3(0, 0, 0);            }        }        // 左乘一个数        public static Vector3 operator *(float a, Vector3 b)        {            return new Vector3(a * b.x, a * b.y, a * b.z);        }        // 右乘一个数        public static Vector3 operator *(Vector3 a, float b)        {            return new Vector3(a.x * b, a.y * b, a.z * b);        }        // 向量的点乘        public static float operator *(Vector3 a, Vector3 b)        {            return a.x * b.x + a.y * b.y + a.z * b.z;        }        // 判断两个向量是否相等        public static bool operator ==(Vector3 a, Vector3 b)        {            if (Math.Abs(a.x - b.x) < E && Math.Abs(a.y - b.y) < E && Math.Abs(a.z - b.z) < E)            {                return true;            }            else                return false;        }        // 判断两个向量不等        public static bool operator !=(Vector3 a, Vector3 b)        {            return !(a == b);        }        public override bool Equals(object obj)        {            return base.Equals(obj);        }        public override int GetHashCode()        {            return base.GetHashCode();        }        public override string ToString()        {            return base.ToString();        }        // 向量叉积        public static Vector3 Cross(Vector3 a, Vector3 b)        {            return new Vector3(a.y * b.z - a.z * b.y,                                a.z * b.x - a.x * b.z,                                a.x * b.y - a.y * b.x);        }        //向量的模        public static float Magnitude(Vector3 a)        {            return (float)Math.Sqrt(a.x * a.x + a.y * a.y + a.z * a.z);        }        // 单位化向量        public static Vector3 Normalize(Vector3 a)        {            float magnitude = Magnitude(a);            return new Vector3(a.x / magnitude, a.y / magnitude, a.z / magnitude);        }    }}

二、c++实现

转载自：3D数学基础图形与游戏开发

#include <math.h>class Vector3{public:float x, y, z;// 默认构造函数Vector3(){}// 复制构造函数Vector3(const Vector3 &a) : x(a.x), y(a.y), z(a.z){}//// 带参数的构造函数，用三个值完成初始化Vector3(float nx, float ny, float nz) : x(nx), y(ny), z(nz){}// 标准对象操作// 重载运算符，并返回引用，以实现左值Vector3 &operator = (const Vector3 &a){x = a.x; y = a.y; z = a.z;return *this;}////重载“==”操作符bool operator == (const Vector3 &a) const{return x == a.x && y == a.y && z == a.z;}bool operator != (const Vector3 &a) const{return x != a.x || y != a.y || z != a.z;}//向量运算// 置为零向量void zero(){x = y = z =0.0f;}// 重载一元“-”运算符Vector3 operator -()const{return Vector3(-x, -y , -z);}//重载二元“+”和“-”运算符Vector3 operator +(const Vector3 &a) const{return Vector3(x + a.x, y + a.y, z + a.z);}Vector3 operator -(const Vector3 &a) const{return Vector3(x - a.x, y - a.y, z - a.z);}// 与标量的乘除法Vector3 operator * (float a) const{return Vector3(x * a, y * a, z * a);}Vector3 operator / (float a) const{float oneOverA = 1.0f / a;return Vector3(x * oneOverA, y * oneOverA, z * oneOverA);}// 重载自反运算符Vector3 &operator += (const Vector3 &a){x += a.x; y += a.y; z += a.z;return *this;}Vector3 &operator -= (const Vector3 &a){x -= a.x; y -= a.y; z -= a.z;return *this;}Vector3 &operator *= (float a){x *= a; y *= a; z *= a;return * this;}Vector3 &operator /= (float a){float oneOverA = 1.0f / a;x *= oneOverA; y *= oneOverA; z *= oneOverA;return *this;}// 向量标准化void normalize(){float magSq = x * x + y * y + z * z;if(magSq > 0.0f){float oneOverMag = 1.0f / sqrt(magSq);x *= oneOverMag;y *= oneOverMag;z *= oneOverMag;}}// 向量点乘，重载标准的乘法运算符float operator *(const Vector3 &a) const{return x * a.x + y * a.y + z * a.z;}};// 非成员函数// 求向量模inline float vectorMag(const Vector3 &a){return sqrt(a.x * a.x + a.y * a.y + a.z * a.z);}//计算两个向量的叉乘inline Vector3 crossProduct(const Vector3 &a, const Vector3 &b){return Vector3(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);}////实现标量左乘inline Vector3 operator *(float k, const Vector3 &v){return Vector3(k * v.x, k * v.y, k * v.z);}// 计算两点间的距离inline float distance(const Vector3 &a, const Vector3 &b){float dx = a.x - b.x;float dy = a.y - b.y;float dz = a.x - b.z;return sqrt(dx * dx + dy * dy + dz * dz);}//提供一个全局零向量extern const Vector3 kZeroVector;