#ifndef VECTOR3_HPP
#define VECTOR3_HPP

#include <cmath>
#include <iostream>

class Vector3 {
private:
    float x_, y_, z_;

public:
    Vector3(float x = 0, float y = 0, float z = 0) : x_(x), y_(y), z_(z) {}

    // 访问器
    float x() const { return x_; }
    float y() const { return y_; }
    float z() const { return z_; }

    // 运算符
    Vector3 operator+(const Vector3& v) const;
    Vector3 operator-(const Vector3& v) const;
    Vector3 operator*(float s) const;
    Vector3 operator/(float s) const;
    Vector3 operator-() const;

    // 向量运算
    float dot(const Vector3& v) const;
    Vector3 cross(const Vector3& v) const;
    float norm() const;
    float normSquared() const;
    Vector3 normalized() const;

    // 比较
    bool operator==(const Vector3& v) const;
    bool operator!=(const Vector3& v) const;

    // 输出
    friend std::ostream& operator<<(std::ostream& os, const Vector3& v);
};

// 辅助函数：绕任意轴旋转向量（罗德里格斯旋转公式）
Vector3 rotateAroundAxis(const Vector3& v, const Vector3& axis, float angle);

#endif