#include "complex.h"

std::ostream& operator<< (std::ostream& cout, Complex c){
  return cout << "[" << c.re << "," << c.im << "]";
}

std::istream& operator>> (std::istream& cin, Complex c){
  char x = '[';
  char y = ',';
  char z = ']';
  return cin >> x >> c.re  >> y >> c.im >> z;
}

Complex operator+ (Complex& a, Complex& b){
  double re;
  double im;
  re = a.re + b.re;
  im = a.im + b.im;
  Complex result;
  result.re = re;
  result.im = im;
  return result;
}

Complex operator- (Complex& a, Complex& b){
  double re;
  double im;
  re = a.re - b.re;
  im = a.im - b.im;
  Complex result;
  result.re = re;
  result.im = im;
  return result;
}

Complex operator* (Complex& a, Complex& b){
  double re;
  double im;
  re = a.re*b.re - a.im*b.im;
  im = a.re*b.im + a.im*b.re;
  Complex result;
  result.re = re;
  result.im = im;
  return result;
}

Complex operator-(Complex a){
  a.re = -a.re;
  a.im = -a.im;
  return a;
}

Complex& conjugation(Complex& a){
  a.im = -a.im;
  return a;
}

Complex operator/ (Complex& a, Complex& b){
  Complex nu1;
  Complex nu2;
  nu2.re = b.re*b.re + b.im*b.im;
  nu2.im = 0;
  nu1.re = a.re*b.re + a.im*b.im;
  nu1.im = a.im*b.re - a.re*b.im;
  double devide1 = 1/(nu2.re);
  Complex devide2;
  devide2.re = devide1;
  devide2.im = 0;
  return nu1*devide2;
}

bool operator== (Complex& a, Complex& b){
  if(a.re == b.re && a.im == b.im)
    return true;
  else
    return false;
}

bool operator!= (Complex& a, Complex& b){
  if(a.re == b.re && a.im == b.im)
    return false;
  else
    return true;
}