#import "vector.h"
#include <math.h>

vector make_vector(float x, float y, float z)
{
    vector v = {x, y, z};
    return v;
}

vector vec_add(vector a, vector b)
{
    return make_vector(a.x + b.x, a.y + b.y, a.z + b.z);
}

vector vec_sub(vector a, vector b)
{
    return make_vector(a.x - b.x, a.y - b.y, a.z - b.z);
}

float vec_dot(vector a, vector b)
{
    return a.x * b.x + a.y * b.y + a.z * b.z;
}

vector vec_cross(vector a, vector b)
{
    return make_vector(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);
}

vector vec_mult(vector b, float a)
{
    return make_vector(a * b.x, a * b.y, a * b.z);
}

vector vec_div(vector b, float a)
{
    return make_vector(b.x / a, b.y / a, b.z / a);
}

vector vec_neg(vector a)
{
    return vec_mult(a, -1);
}

float vec_mag(vector a)
{
    return sqrt(vec_dot(a, a));
}

vector normalize(vector a)
{
    return vec_div(a, vec_mag(a));
}

const vector zero_vector = {0,0,0};