//
// Created by nb on 07.07.24.
//

#ifndef VECTOR_VECTOR3_H
#define VECTOR_VECTOR3_H

#include "iostream"
#include <cmath>

namespace LinAlg {
    class Vector3 {
    public:
        Vector3(double x, double y, double z) : x(x), y(y), z(z) {};

        Vector3() : Vector3(0, 0, 0) {};

        virtual ~Vector3() = default;

        Vector3 operator+(const Vector3 &v) const;

        Vector3 operator-(const Vector3 &v) const {
            Vector3 tmp = v * -1;
            return *this + tmp;
        };

        Vector3 operator*(double s) const;

        Vector3 operator/(double s) const {
            return *this * (1 / s);
        };

        Vector3 &operator*=(double s);

        Vector3 &operator/=(double s) {
            return *this *= (1 / s);
        };

        Vector3 &operator+=(const Vector3 &v);

        Vector3 &operator-=(const Vector3 &v);

        Vector3 &operator=(const Vector3 &v);


        Vector3 &norm();

        [[nodiscard]] double dot(const Vector3 &v) const;

        [[nodiscard]] double len() const;

        [[nodiscard]] Vector3 cross(const Vector3 &v) const;

        friend std::ostream &operator<<(std::ostream &os, const Vector3 &v) {
            os << "{" << v.x << ", " << v.y << ", " << v.z << "}";
            return os;
        }

    private:
        double x, y, z;
    };

}

#endif //VECTOR_VECTOR3_H