position.h

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#pragma once

#include <cmath>

struct Position {
  Position() : x(0), y(0), z(0) {}
  Position(double x, double y, double z) : x(x), y(y), z(z) {}
  double x; 
  double y; 
  double z; 

  double norm() const {
    return std::sqrt(std::pow(x, 2) + std::pow(y, 2) + std::pow(z, 2));
  }

  bool operator==(const Position &p) const {
    return (x == p.x && y == p.y && z == p.z);
  }
  bool operator!=(const Position &p) const { return !(*this == p); }
  Position operator+(const Position &p) const {
    return Position(p.x + this->x, p.y + this->y, p.z + this->z);
  }
  Position operator-(const Position &p) const {
    return Position(this->x - p.x, this->y - p.y, this->z - p.z);
  }

  Position operator*(const double &m) const {
    return Position(this->x * m, this->y * m, this->z * m);
  }
  Position operator/(const double &m) const { return this->operator*(1. / m); }
};