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ComplexNumber.h

Go to the documentation of this file.

#ifndef ComplexNumber_H
#define ComplexNumber_H
/*########################################################################
        File:                   ComplexNumber.h
        Creation date:  25th May 2002

        Copyright 2002 Mark Williams, all rights reserved.
        Contact: mark@extrabit.com
        http://www.extrabit.com

        This program is free software; you can redistribute it and/or
        modify it under the terms of the GNU General Public License
        as published by the Free Software Foundation; either version 2
        of the License, or (at your option) any later version.

        This program is distributed in the hope that it will be useful,
        but WITHOUT ANY WARRANTY; without even the implied warranty of
        MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
        GNU General Public License for more details.

########################################################################*/

/*########################################################################
        Headers
########################################################################*/

/*########################################################################
        Declarations
########################################################################*/

/*########################################################################
        Class Definition
########################################################################*/

class ComplexNumber
{
public:
        ComplexNumber (void) { m_x = m_y = 0.0 ; }
        ComplexNumber (double x, double y) { m_x = x ; m_y = y ; }

        const double& x (void) const { return m_x ; }
        const double& y (void) const { return m_y ; }
        double& x (void) { return m_x ; }
        double& y (void) { return m_y ; }

        double inq_magnitude2 (void) const ;
        ComplexNumber inq_square (void) const ;
        ComplexNumber inq_cube (void) const ;
        ComplexNumber inq_inverse (void) const ;

        const ComplexNumber& operator+= (const ComplexNumber&) ;
        const ComplexNumber& operator-= (const ComplexNumber&) ;
        ComplexNumber operator+ (const ComplexNumber&) const ;
        ComplexNumber operator- (const ComplexNumber&) const ;
        ComplexNumber operator* (const ComplexNumber&) const ;

private:
        double m_x ;

        double m_y ;
} ;


inline double ComplexNumber::inq_magnitude2 (void) const
{
        return m_x*m_x + m_y*m_y ;
}


inline ComplexNumber ComplexNumber::inq_square (void) const
{
        return ComplexNumber (m_x*m_x - m_y*m_y, 2.0*m_x*m_y) ;
}


inline ComplexNumber ComplexNumber::inq_cube (void) const
{
        double x2 = m_x*m_x ;
        double y2 = m_y*m_y ;
        return ComplexNumber (m_x*x2 - 3.0*m_x*y2, -m_y*y2 + 3.0*x2*m_y) ;
}


inline ComplexNumber ComplexNumber::inq_inverse (void) const
{
        double a = m_x*m_x + m_y*m_y ;
        return ComplexNumber (m_x/a, -m_y/a) ;
}


inline const ComplexNumber& ComplexNumber::operator+= (const ComplexNumber& z)
{
        m_x += z.m_x ;
        m_y += z.m_y ;
        return *this ;
}


inline const ComplexNumber& ComplexNumber::operator-= (const ComplexNumber& z)
{
        m_x -= z.m_x ;
        m_y -= z.m_y ;
        return *this ;
}


inline ComplexNumber ComplexNumber::operator+ (const ComplexNumber& z) const
{
        return ComplexNumber (m_x + z.m_x, m_y + z.m_y) ;
}


inline ComplexNumber ComplexNumber::operator- (const ComplexNumber& z) const
{
        return ComplexNumber (m_x - z.m_x, m_y - z.m_y) ;
}


inline ComplexNumber ComplexNumber::operator* (const ComplexNumber& z) const
{
        return ComplexNumber (m_x*z.m_x - m_y*z.m_y, m_x*z.m_y + m_y*z.m_x) ;
}


inline ComplexNumber operator* (const ComplexNumber& z, double s)
{
        return ComplexNumber (s*z.x(), s*z.y()) ;
}


inline ComplexNumber operator* (double s, const ComplexNumber& z)
{
        return ComplexNumber (s*z.x(), s*z.y()) ;
}


/*########################################################################
        End
########################################################################*/
#endif

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