complexVectorI.H

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
     \\/     M anipulation  |
-------------------------------------------------------------------------------
License
    This file is part of OpenFOAM.
 
    OpenFOAM 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 3 of the License, or
    (at your option) any later version.
 
    OpenFOAM 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.
 
    You should have received a copy of the GNU General Public License
    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
Description
    complexVector specific part of 3D complexVector obtained from
    generic Vector.
 
\*---------------------------------------------------------------------------*/
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
// * * * * * * * * * * * * * * * Friend Operators  * * * * * * * * * * * * * //
 
inline complexVector operator*(const complex& v1, const complexVector& v2)
{
    return complexVector
    (
        v1*v2.x(),
        v1*v2.y(),
        v1*v2.z()
    );
}
 
 
inline complexVector operator*(const complexVector& v2, const complex& v1)
{
    return complexVector
    (
        v1*v2.x(),
        v1*v2.y(),
        v1*v2.z()
    );
}
 
 
inline complexVector operator/(const complexVector& v1, const complex& v2)
{
    return complexVector
    (
        v1.x()/v2,
        v1.y()/v2,
        v1.z()/v2
    );
}
 
 
inline complexVector operator/(const complex& v1, const complexVector& v2)
{
    return complexVector
    (
        v1/v2.x(),
        v1/v2.y(),
        v1/v2.z()
    );
}
 
 
// complexVector dot product
 
inline complex operator&(const complexVector& v1, const complexVector& v2)
{
    return complex
    (
        v1.x()*v2.x().conjugate()
      + v1.y()*v2.y().conjugate()
      + v1.z()*v2.z().conjugate()
    );
}
 
 
// complexVector cross product
 
inline complexVector operator^(const complexVector& v1, const complexVector& v2)
{
    return complexVector
    (
        (v1.y()*v2.z() - v1.z()*v2.y()),
        (v1.z()*v2.x() - v1.x()*v2.z()),
        (v1.x()*v2.y() - v1.y()*v2.x())
    );
}
 
 
// complexVector cross product
 
inline complexVector operator^(const vector& v1, const complexVector& v2)
{
    return complexVector
    (
        (v1.y()*v2.z() - v1.z()*v2.y()),
        (v1.z()*v2.x() - v1.x()*v2.z()),
        (v1.x()*v2.y() - v1.y()*v2.x())
    );
}
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// ************************************************************************* //