SphericalTensorI_.H

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#include <OpenFOAM/Vector_.H>

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //

// Construct null
template <class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor()
{}


// Construct given VectorSpace
template <class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor
(
    const VectorSpace<SphericalTensor<Cmpt>, Cmpt, 1>& vs
)
:
    VectorSpace<SphericalTensor<Cmpt>, Cmpt, 1>(vs)
{}


// Construct given three Cmpts
template <class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor(const Cmpt& stii)
{
    this->v_[II] = stii;
}


// Construct from Istream
template <class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor(Istream& is)
:
    VectorSpace<SphericalTensor<Cmpt>, Cmpt, 1>(is)
{}


// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //

template <class Cmpt>
inline const Cmpt&  SphericalTensor<Cmpt>::ii() const
{
    return this->v_[II];
}


template <class Cmpt>
inline Cmpt& SphericalTensor<Cmpt>::ii()
{
    return this->v_[II];
}


template <class Cmpt>
inline const SphericalTensor<Cmpt>& SphericalTensor<Cmpt>::T() const
{
    return *this;
}


// * * * * * * * * * * * * * * * Global Operators  * * * * * * * * * * * * * //

//- Inner-product between two spherical tensors
template <class Cmpt>
inline SphericalTensor<Cmpt>
operator&(const SphericalTensor<Cmpt>& st1, const SphericalTensor<Cmpt>& st2)
{
    return SphericalTensor<Cmpt>(st1.ii()*st2.ii());
}


//- Inner-product between a spherical tensor and a vector
template <class Cmpt>
inline Vector<Cmpt>
operator&(const SphericalTensor<Cmpt>& st, const Vector<Cmpt>& v)
{
    return Vector<Cmpt>
    (
        st.ii()*v.x(),
                       st.ii()*v.y(),
                                      st.ii()*v.z()
    );
}


//- Inner-product between a vector and a spherical tensor
template <class Cmpt>
inline Vector<Cmpt>
operator&(const Vector<Cmpt>& v, const SphericalTensor<Cmpt>& st)
{
    return Vector<Cmpt>
    (
        v.x()*st.ii(),
                       v.y()*st.ii(),
                                      v.z()*st.ii()
    );
}


//- Double-dot-product between a spherical tensor and a spherical tensor
template <class Cmpt>
inline Cmpt
operator&&(const SphericalTensor<Cmpt>& st1, const SphericalTensor<Cmpt>& st2)
{
    return 3*st1.ii()*st2.ii();
}


//- Division of a scalar by a sphericalTensor
template <class Cmpt>
inline SphericalTensor<Cmpt>
operator/(const scalar s, const SphericalTensor<Cmpt>& st)
{
    return SphericalTensor<Cmpt>(s/st.ii());
}


template <class Cmpt>
inline Cmpt magSqr(const SphericalTensor<Cmpt>& st)
{
    return 3*magSqr(st.ii());
}


//- Return the trace of a spherical tensor
template <class Cmpt>
inline Cmpt tr(const SphericalTensor<Cmpt>& st)
{
    return 3*st.ii();
}


//- Return the spherical part of a spherical tensor, i.e. itself
template <class Cmpt>
inline SphericalTensor<Cmpt> sph(const SphericalTensor<Cmpt>& st)
{
    return st;
}


//- Return the determinant of a spherical tensor
template <class Cmpt>
inline Cmpt det(const SphericalTensor<Cmpt>& st)
{
    return st.ii()*st.ii()*st.ii();
}


//- Return the inverse of a spherical tensor
template <class Cmpt>
inline SphericalTensor<Cmpt> inv(const SphericalTensor<Cmpt>& st)
{
    return SphericalTensor<Cmpt>(1.0/st.ii());
}


template<class Cmpt>
class outerProduct<SphericalTensor<Cmpt>, Cmpt>
{
public:

    typedef SphericalTensor<Cmpt> type;
};

template<class Cmpt>
class outerProduct<Cmpt, SphericalTensor<Cmpt> >
{
public:

    typedef SphericalTensor<Cmpt> type;
};


template<class Cmpt>
class innerProduct<SphericalTensor<Cmpt>, SphericalTensor<Cmpt> >
{
public:

    typedef SphericalTensor<Cmpt> type;
};


template<class Cmpt>
class innerProduct<SphericalTensor<Cmpt>, Vector<Cmpt> >
{
public:

    typedef Vector<Cmpt> type;
};

template<class Cmpt>
class innerProduct<Vector<Cmpt>, SphericalTensor<Cmpt> >
{
public:

    typedef Vector<Cmpt> type;
};


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace Foam

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