//
// 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();

        double dot(const Vector3& v) const;

        double len() const;

        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