Complex Complex::operator/( const Complex c1 ) {
double a , b ;
if ( fabs( c1.getRealPart() ) >= fabs( c1.getImaginaryPart() ) ) {
a = c1.getImaginaryPart() / c1.getRealPart() ;
b = 1.0l / ( c1.getRealPart() + a * c1.getImaginaryPart() ) ;
return Complex( ( R + a * I ) * b , ( I - a * R ) * b ) ;
} else {
a = c1.getRealPart() / c1.getImaginaryPart() ;
b = 1.0l / ( c1.getRealPart() * a + c1.getImaginaryPart() ) ;
return Complex( ( R * a + I ) * b , ( I * a - R ) * b ) ;
}
}
Complex Complex::operator*( const Complex c1 ) {
return Complex( R*c1.getRealPart() - I*c1.getImaginaryPart() , R*c1.getImaginaryPart() + I*c1.getRealPart() ) ;
}
double Complex::pow( Complex base , double exp ) {
return ( pow( base.getRealPart() , exp ) - pow( base.getImaginaryPart() , exp ) );
}
Complex Complex::operator-( const Complex c1 ) {
return Complex( R - c1.getRealPart() , I - c1.getImaginaryPart() ) ;
}
bool Complex::Compare( const Complex & c1 ) {
if ( R == c1.getRealPart() || I == c1.getImaginaryPart() )
return true ;
else
return false ;
}
bool Complex::operator!=( const Complex & c1 ) {
if ( R != c1.getRealPart() || I != c1.getImaginaryPart() )
return true ;
else
return false ;
}
//subtraction function
Complex Complex::subtract(Complex& c){
//follows imaginary number equation
return Complex(getRealPart()-c.getRealPart(),getImaginaryPart()-c.getImaginaryPart());
}
//sets original to specified
void Complex::operator=(Complex c){
this->a=c.getRealPart();
this->b=c.getImaginaryPart();
}
//adding function
Complex Complex::add(Complex& c){
//follows imaginary number equation
return Complex(getRealPart()+c.getRealPart(),getImaginaryPart()+c.getImaginaryPart());
}
//division function
Complex Complex::divide(Complex& c){
return Complex((getRealPart()*c.getRealPart()+getImaginaryPart()*c.getImaginaryPart())/(c.getRealPart()*c.getRealPart()+c.getImaginaryPart()*c.getImaginaryPart() ),( getImaginaryPart()*c.getRealPart()-getRealPart()*c.getImaginaryPart())/(c.getRealPart()*c.getRealPart()+c.getImaginaryPart()*c.getImaginaryPart() ));
}
//multiplication function
Complex Complex::multiply(Complex& c){
return Complex((getRealPart()*c.getRealPart()-getImaginaryPart()*c.getImaginaryPart()),( getImaginaryPart()*c.getRealPart()+getRealPart()*c.getImaginaryPart()));
}
