#include "Vector.h"
#include <iostream>
#include <math.h>

Vector::Vector()
{
    m_array[0] = 0.0;
    m_array[1] = 0.0;
    m_array[2] = 0.0;
}

void Vector::normalize()
{
    double length = sqrt(m_array[0] * m_array[0]
                       + m_array[1] * m_array[1]
                       + m_array[2] * m_array[2]);
    m_array[0] /= length;
    m_array[1] /= length;
    m_array[2] /= length;
}

std::ostream & operator<<(std::ostream & out, const Vector & v)
{
    out << "[" << v[0] << ", " << v[1] << ", " << v[2] << "]";
    return out;
}

/* Compute the dot-product of two vectors */
double operator%(const Vector & v1, const Vector & v2)
{
    return v1[0] * v2[0] + v1[1] * v2[1] + v1[2] * v2[2];
}

/* Compute the cross-product of two vectors */
Vector operator*(const Vector & v1, const Vector & v2)
{
    Vector result;
    result[0] = v1[1] * v2[2] - v1[2] * v2[1];
    result[1] = v1[2] * v2[0] - v1[0] * v2[2];
    result[2] = v1[0] * v2[1] - v1[1] * v2[0];
    return result;
}