#ifndef VEC3_H
#define VEC3_H

#include <math.h>
#include <stdio.h>

struct vec3 {
    /* Members */
    double x;
    double y;
    double z;

    /* Constructors */

    // Default
    vec3()  { x = 0; y = 0; z = 0; };

    // Constructor proper. Values default to 0
    vec3(double x = 0, double y = 0, double z = 0)
    {
        this.x = x;
        this.y = y;
        this.z = z;
    }

    /* Overriden operators */

    // - operator. Not to be confused with substraction
    vec3 operator-()
    {
        return vec3(-x, -y, -z);
    }

    // straightforward vector sum
    vec3& operator+=(const vec3 &v)
    {
        this.x += v.x;
        this.y += v.y;
        this.z += v.z;
    }

    // scalar multiplication
    vec3& operator*=(const double t)
    {
        x *= t;
        y *= t;
        z *= t;
        return *this;
    }

    // division by a scalar t
    vec3& operator/=(const double t)
    {
        x /= t;
        y /= t;
        z /= t;
        return *this;
    }

    /* Methods */

    double length()
    {
        std::sqrt(x*x + y*y + z*z);
    }    
};

/* Type aliases */
typedef point3 vec3;
typedef color vec3;


#endif