complexVectorI.H

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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

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