#ifndef COMPLEX_H
#define COMPLEX_H

#include <iosfwd>

class Complex
{
public:
  // default constructor (0+i0)
  Complex(double = 0., double = 0.);
  // parte reale
  double re() const;
  // parte immaginaria
  double im() const;

  // modulo sqrt(a*a+b*b)
  double mag() const;
  // modulo quadro (a*a+b*b)
  double mag2() const;
  // ritorna coniugato (a-ib)
  Complex coniugate() const;
  // ritorna inverso 1./(a+ib)
  Complex inverse() const;

 private:
  double theReal;
  double theImag;
};


// operatori binari
Complex operator+(const Complex& lhs, const Complex& rhs);
Complex operator-(const Complex& lhs, const Complex& rhs);
Complex operator*(const Complex& lhs, const Complex& rhs);
Complex operator/(const Complex& lhs, const Complex& rhs);

// operatori unari 
// cambio segno
Complex operator-(const Complex&  lhs);
// modulo
double abs(const Complex&  c) {};

// operator ostream
std::ostream& operator<<(std::ostream&, const Complex& );

#endif // COMPLEX_H