Complex Number Class

Complex Number Class
A complex number is a number that has two components; the real component and the imaginary component.


a + bi

Arithmetic is defined as follows:

(a + bi) + (c + di) = (a + c) + (b + d)i

(a + bi) - (c + di) = (a - c) + (b - d)i

(a + bi) * (c + di) = (ac - bd) + (ad + bc)i

(a + bi) / (c + di) = (ac + bd) / (c**2+d**2) + [ (bc -ad) /(c**2+d**2)]i

Class Declaration

class complex


{

public:

complex();

complex(double,double);

double getReal() const;

void setReal(double);

complex operator+(complex) const;

complex operator-(complex) const;

complex operator*(complex) const;

complex operator/(complex) const;

private:

double real, imag;

};

complex::complex():real(0),y(0)


{ //default constructor

}



complex :: complex(double r, double im)

{

real = r;

imag = im;

}

complex complex::operator+(complex c) const


{

complex temp;

temp.real = real + c.real;

temp.imag = imag + c.imag;

return temp;

}

complex complex::operator/(complex c) const


{

complex temp;

temp.real = (real*c.real + imag*c.imag)/

( pow(c.real,2) + pow(imag,2) );

temp.imag = (imag*c.real - real*c.imag)/

( pow(c.real,2) + pow(imag,2) );

return temp;

}

complex complex::operator*(complex c) const


{

complex temp;

temp.real = real*c.real – imag*c.imag;

temp.imag = real*c.imag + imag*c.real;

return temp;

}