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#ifndef VEC_3
#define VEC_3
#include <cmath>
#include <iostream>
class vec3{
public:
double e[3];
vec3() : e{0, 0, 0} {}
vec3(double e0, double e1, double e2) : e{e0, e1, e2} {}
double x() const;
double y() const;
double z() const;
vec3 operator-() const;
double operator[](int i) const;
double &operator[](int i);
vec3& operator+=(const vec3 & other);
vec3& operator*=(double t);
vec3& operator/=(double t);
double length() const;
double length_squared() const;
};
inline std::ostream &operator<<(std::ostream &out, const vec3 &v);
inline vec3 operator+(const vec3 &u, const vec3 &v);
inline vec3 operator-(const vec3 &u, const vec3 &v);
inline vec3 operator*(const vec3 &u, const vec3 &v);
inline vec3 operator*(double t, const vec3 &v);
inline vec3 operator*(const vec3 &v, double t);
inline vec3 operator/(const vec3 &v, double t);
inline double dot(const vec3 &u, const vec3 &v);
inline vec3 cross(const vec3 &u, const vec3 &v);
inline vec3 unit_vector(const vec3 &v);
#endif
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