#include "mycomplex.h"

constexpr double
square (double x)
{
  return x * x;
}

complex&
operator*= (complex& a, complex b)
{
  double r = a.real() * b.real() - a.imag() * b.imag();
  double i = a.real() * b.imag() + a.imag() * b.real();
  a.real(r);
  a.imag(i);
  return a;
}

complex&
operator/= (complex& a, complex b)
{
  double d = square(b.real()) + square(b.imag());
  complex c {b.real() / d, -b.imag() / d};
  return a *= c;
}

complex
operator+ (complex a, complex b)
{
  return a += b;
}

complex
operator- (complex a, complex b)
{
  return a -= b;
}

complex
operator- (complex a)
{
  return {-a.real(), -a.imag()};
}

complex
operator* (complex a, complex b)
{
  return a *= b;
}

complex
operator/ (complex a, complex b)
{
  return a /= b;
}

bool
operator== (complex a, complex b)
{
  return a.real() == b.real() && a.imag() == b.imag();
}

bool
operator!= (complex a, complex b)
{
  return !(a == b);
}