#ifndef __VEC3_HPP_
#define __VEC3_HPP_

#include <iostream>
#include <cmath>

class vec3 {
    public:
    vec3();

    vec3(double x, double y, double z);

    void operator-();

    vec3& operator+=(vec3& vec);

    vec3& operator*=(double scale);

    vec3& operator/=(double numerator);

    double length();

    double length_sq();

    double dot(vec3& vec);

    vec3 cross(vec3& vec);

    vec3 unit_vector();

    double x, y, z;
};

vec3 operator+(vec3& u, vec3& v);

vec3 operator-(vec3& u, vec3& v);

vec3 operator*(vec3& u, vec3& v);

vec3 operator*(vec3& u, double scale);

vec3 operator*(double scale, vec3& u);

vec3 operator/(vec3& u, double scale);

std::ostream& operator<<(std::ostream& out, vec3& vec);

using point3 = vec3;
using color = vec3;

#endif // !__VEC3_HPP_