//
// Created by Иван Ильин on 12.01.2021.
//

#include "Point4D.h"
#include <cmath>

Point4D::Point4D (double x, double y, double z, double w) {
    _arr_point[0] = x;
    _arr_point[1] = y;
    _arr_point[2] = z;
    _arr_point[3] = w;
}

Point4D::Point4D(const Point4D &point4D) {
    _arr_point[0] = point4D.x();
    _arr_point[1] = point4D.y();
    _arr_point[2] = point4D.z();
    _arr_point[3] = point4D.w();
}

[[nodiscard]] double Point4D::operator[] (int i) const {
    return _arr_point[i];
}

[[nodiscard]] Point4D Point4D::operator-() const {
    return Point4D(-x(), -y(), -z(), -w());
}

bool Point4D::operator==(const Point4D& point4D) const
{
    return this == &point4D || (*this - point4D).sqrAbs() < 0.0000000001;
}
bool Point4D::operator!=(const Point4D& point4D) const
{
    return this != &point4D && (*this - point4D).sqrAbs() > 0.0000000001;
}

// Operations with Point4D
Point4D Point4D::operator+(const Point4D& point4D) const {
    return Point4D(x()+point4D.x(), y()+point4D.y(), z()+point4D.z(), w()+point4D.w());
}
Point4D Point4D::operator-(const Point4D& point4D) const {
    return Point4D(*this) + -point4D;
}

double Point4D::dot(const Point4D& point4D) const
{
    return point4D.x() * x() + point4D.y() * y() + point4D.z() * z();
}
[[nodiscard]] Point4D Point4D::cross3D(const Point4D& point4D) const {
    return Point4D {y() * point4D.z() - point4D.y() * z(),
                    z() * point4D.x() - point4D.z() * x(),
                    x() * point4D.y() - point4D.x() * y()};
}

Point4D Point4D::operator*(double number) const {
    return Point4D(x()*number, y()*number, z()*number, w()*number);
}
Point4D Point4D::operator/(double number) const {
    if(number != 0)
        return Point4D(*this)*(1.0/number);
    else
        return Point4D();
}

// Other useful methods
double Point4D::sqrAbs() const
{
    return x()*x() + y()*y() + z()*z();
}
double Point4D::abs() const {
    return sqrt(sqrAbs());
}

Point4D Point4D::normalized() const {
    return Point4D(*this)/abs();
}