vec3.h

#ifndef VEC3_H
#define VEC3_H

#include <iostream>
#include <cmath>

class vec3
{
public:
    float v[3];
    //constructors
    vec3();
        vec3(float x, float y, float z = 0.0f);
        vec3(const float* u);
        vec3(const vec3&);
        float& operator[](unsigned);
    vec3& operator=(const vec3&);
        
        //arithmetic assignments
        vec3& operator+=(const vec3&);
        vec3& operator-=(const vec3&);
    vec3& operator*=(float);
        vec3& operator/=(float);
        
        //arithmetic operations
        const vec3 operator+(const vec3&) const;
        const vec3 operator-(const vec3&) const;
        const vec3 operator*(float) const;
        const vec3 operator/(float) const;

        //boolean operators
        bool operator==(const vec3&) const;
        bool operator!=(const vec3&) const;

        vec3& operator-();
        float norm() const;
        float length() const;
        vec3& operator!();
        float dist2(const vec3&);
        float dist(const vec3&);
        float operator*(const vec3&) const;
        const vec3 operator^(const vec3&) const;

        void print();
};

std::ostream& operator<<(std::ostream&, const vec3&);

#endif