#ifndef _COMPLEX_NUMBER_H_
#define _COMPLEX_NUMBER_H_

#include <math.h>

class ComplexNumber 
{
public:
    ComplexNumber() ;
    ComplexNumber(double r, double i = 0.0); 

    double real() const;
    double imag() const;

    friend ComplexNumber operator*(
        const ComplexNumber &, const ComplexNumber &);

    friend ComplexNumber operator+(
        const ComplexNumber &, const ComplexNumber &);

    friend ComplexNumber operator-(
        const ComplexNumber &, const ComplexNumber &);
    friend ComplexNumber operator/(
        const ComplexNumber &, const ComplexNumber &);

private:
    double d_real;
    double d_imag;
};

inline ComplexNumber::ComplexNumber():
    d_real(0.0),
    d_imag(-0.0)
{
}

inline ComplexNumber::ComplexNumber(double re, double im):
    d_real(re),
    d_imag(im)
{
}

inline double ComplexNumber::real() const
{
    return d_real;
}

inline double ComplexNumber::imag() const
{
    return d_imag;
}

inline ComplexNumber operator+(
    const ComplexNumber &x1, const ComplexNumber &x2)
{
    return ComplexNumber(x1.d_real + x2.d_real, x1.d_imag + x2.d_imag);
}

inline ComplexNumber operator-(
    const ComplexNumber &x1, const ComplexNumber &x2)
{
    return ComplexNumber(x1.d_real - x2.d_real, x1.d_imag - x2.d_imag);
}

inline ComplexNumber operator*(
    const ComplexNumber &x1, const ComplexNumber &x2)
{
    return ComplexNumber(x1.d_real * x2.d_real - x1.d_imag * x2.d_imag,
        x1.d_real * x2.d_imag + x2.d_real * x1.d_imag);
}

inline ComplexNumber operator/(
    const ComplexNumber &x1, const ComplexNumber &x2)
{
    double denom = x2.d_real * x2.d_real + x2.d_imag * x2.d_imag;

    return ComplexNumber( 
            (x1.d_real * x2.d_real + x1.d_imag * x2.d_imag) / denom,
            (x1.d_imag * x2.d_real - x2.d_imag * x1.d_real) / denom
            );
}

#endif