/*
* Copyright (c) 2025 Konrad Gębik
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program.  If not, see <http://www.gnu.org/licenses/>
*/

#include <cmath>
#include <iostream>
#include "Vector.hpp"

Vector operator*(Vector v, double a) {
    return {v.x*a, v.y*a, v.z*a};
}
Vector operator*(double a, Vector v) {
    return v*a;
}

Vector operator/(Vector v, double a) {
    return {v.x/a, v.y/a, v.z/a};
}

Vector operator+(Vector v, Vector w) {
    return v += w;
}

Vector operator-(Vector v, Vector w) {
    return v -= w;
}

std::ostream& operator<<(std::ostream& stream, const Vector& v) {
    stream << v.x << ' ' << v.y << ' ' << v.z;
    return stream;
}

//Returns squared norm of vector
double Vector::normSq() const {
    return x*x + y*y + z*z;
}

double Vector::norm() const {
    return std::sqrt(x*x + y*y + z*z);
}

double Vector::dotProduct(Vector v) const {
    return this->x * v.x + this->y * v.y + this->z * v.z;
}