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return Complex(real - other.real, imaginary - other.imaginary);
}

// == operator overloader

bool ChrisBerger::Complex::operator==(const ChrisBerger::Complex &other) const
{
return (other.real == real) && (other.imaginary == imaginary);
}

// != operator overloader

bool ChrisBerger::Complex::operator!=(const ChrisBerger::Complex &other) const
{
return !(other.real == real) && (other.imaginary == imaginary);
}

// << operator overloader

ostream &ChrisBerger::operator<<(ostream &out, const ChrisBerger::Complex &value)
{
// declare a temporary Complex
Complex *temp = new Complex(value.real, value.imaginary);
// output the real component
out << temp->real;
// if the imaginary component is negative...
if (temp->imaginary < 0)
{
// negate the imaginary component and output a minus-sign
temp->imaginary *= -1;
out << "-";
}
// if the imaginary component is positive, output a positive-sign
else
{
out << "+";
}
// output the "i"
out << temp->imaginary << "i";
// delete the temporary variable
delete temp;
return out;
}

// >> operator overloader

istream &ChrisBerger::operator>>(istream &in, ChrisBerger::Complex &value)
{
// declare a temporary charcter
char temp;
// declare doubles for the real and imaginary components
double tempReal, tempImaginary;
// read in the real component, this may include a minus-sign for a negative real component
in >> tempReal;
// set the real component of the Complex to the read in real component
value.real = tempReal;
// read in the sign of the imaginary component