DiagTensorI.H

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    This file is part of OpenFOAM.
 
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#include "SphericalTensor.H"
#include "SymmTensor.H"
 
// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
 
template<class Cmpt>
inline Foam::DiagTensor<Cmpt>::DiagTensor()
{}
 
 
template<class Cmpt>
inline Foam::DiagTensor<Cmpt>::DiagTensor(const Foam::zero)
:
    VectorSpace<DiagTensor<Cmpt>, Cmpt, 3>(Zero)
{}
 
 
template<class Cmpt>
template<class Cmpt2>
inline Foam::DiagTensor<Cmpt>::DiagTensor
(
    const VectorSpace<DiagTensor<Cmpt2>, Cmpt2, 3>& vs
)
:
    VectorSpace<DiagTensor<Cmpt>, Cmpt, 3>(vs)
{}
 
 
template<class Cmpt>
inline Foam::DiagTensor<Cmpt>::DiagTensor
(
    const Cmpt& vxx,
    const Cmpt& vyy,
    const Cmpt& vzz
)
{
    this->v_[XX] = vxx;
    this->v_[YY] = vyy;
    this->v_[ZZ] = vzz;
}
 
 
template<class Cmpt>
inline Foam::DiagTensor<Cmpt>::DiagTensor(const Vector<Cmpt>& v)
:
    VectorSpace<DiagTensor<Cmpt>, Cmpt, 3>(v)
{}
 
 
template<class Cmpt>
inline Foam::DiagTensor<Cmpt>::DiagTensor(Istream& is)
:
    VectorSpace<DiagTensor<Cmpt>, Cmpt, 3>(is)
{}
 
 
// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
 
template<class Cmpt>
inline const Cmpt& Foam::DiagTensor<Cmpt>::xx() const
{
    return this->v_[XX];
}
 
template<class Cmpt>
inline const Cmpt& Foam::DiagTensor<Cmpt>::yy() const
{
    return this->v_[YY];
}
 
template<class Cmpt>
inline const Cmpt& Foam::DiagTensor<Cmpt>::zz() const
{
    return this->v_[ZZ];
}
 
 
template<class Cmpt>
inline Cmpt& Foam::DiagTensor<Cmpt>::xx()
{
    return this->v_[XX];
}
 
template<class Cmpt>
inline Cmpt& Foam::DiagTensor<Cmpt>::yy()
{
    return this->v_[YY];
}
 
template<class Cmpt>
inline Cmpt& Foam::DiagTensor<Cmpt>::zz()
{
    return this->v_[ZZ];
}
 
template<class Cmpt>
inline Foam::DiagTensor<Cmpt>::operator Foam::Vector<Cmpt>() const
{
    return Vector<Cmpt>(xx(), yy(), zz());
}
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
// * * * * * * * * * * * * * * * Global Operators  * * * * * * * * * * * * * //
 
template<class Cmpt>
inline Tensor<Cmpt>
operator+(const DiagTensor<Cmpt>& dt1, const Tensor<Cmpt>& t2)
{
    return Tensor<Cmpt>
    (
        dt1.xx() + t2.xx(), t2.xy(),            t2.xz(),
        t2.yx(),            dt1.yy() + t2.yy(), t2.yz(),
        t2.zx(),            t2.zy(),            dt1.zz() + t2.zz()
    );
}
 
 
template<class Cmpt>
inline Tensor<Cmpt>
operator+(const Tensor<Cmpt>& t1, const DiagTensor<Cmpt>& dt2)
{
    return Tensor<Cmpt>
    (
        t1.xx() + dt2.xx(), t1.xy(),            t1.xz(),
        t1.yx(),            t1.yy() + dt2.yy(), t1.yz(),
        t1.zx(),            t1.zy(),            t1.zz() + dt2.zz()
    );
}
 
 
template<class Cmpt>
inline Tensor<Cmpt>
operator-(const DiagTensor<Cmpt>& dt1, const Tensor<Cmpt>& t2)
{
    return Tensor<Cmpt>
    (
        dt1.xx() - t2.xx(), -t2.xy(),            -t2.xz(),
       -t2.yx(),             dt1.yy() - t2.yy(), -t2.yz(),
       -t2.zx(),            -t2.zy(),             dt1.zz() - t2.zz()
    );
}
 
 
template<class Cmpt>
inline Tensor<Cmpt>
operator-(const Tensor<Cmpt>& t1, const DiagTensor<Cmpt>& dt2)
{
    return Tensor<Cmpt>
    (
        t1.xx() - dt2.xx(), t1.xy(),            t1.xz(),
        t1.yx(),            t1.yy() - dt2.yy(), t1.yz(),
        t1.zx(),            t1.zy(),            t1.zz() - dt2.zz()
    );
}
 
 
template<class Cmpt>
inline SymmTensor<Cmpt>
operator+(const DiagTensor<Cmpt>& dt1, const SymmTensor<Cmpt>& t2)
{
    return SymmTensor<Cmpt>
    (
        dt1.xx() + t2.xx(), t2.xy(),            t2.xz(),
                            dt1.yy() + t2.yy(), t2.yz(),
                                                dt1.zz() + t2.zz()
    );
}
 
 
template<class Cmpt>
inline SymmTensor<Cmpt>
operator+(const SymmTensor<Cmpt>& t1, const DiagTensor<Cmpt>& dt2)
{
    return SymmTensor<Cmpt>
    (
        t1.xx() + dt2.xx(), t1.xy(),            t1.xz(),
                            t1.yy() + dt2.yy(), t1.yz(),
                                                t1.zz() + dt2.zz()
    );
}
 
 
template<class Cmpt>
inline SymmTensor<Cmpt>
operator-(const DiagTensor<Cmpt>& dt1, const SymmTensor<Cmpt>& t2)
{
    return SymmTensor<Cmpt>
    (
        dt1.xx() - t2.xx(), -t2.xy(),            -t2.xz(),
                             dt1.yy() - t2.yy(), -t2.yz(),
                                                  dt1.zz() - t2.zz()
    );
}
 
 
template<class Cmpt>
inline SymmTensor<Cmpt>
operator-(const SymmTensor<Cmpt>& t1, const DiagTensor<Cmpt>& dt2)
{
    return SymmTensor<Cmpt>
    (
        t1.xx() - dt2.xx(), t1.xy(),            t1.xz(),
                            t1.yy() - dt2.yy(), t1.yz(),
                                                t1.zz() - dt2.zz()
    );
}
 
 
//- Inner-product between two diagonal tensors
template<class Cmpt>
inline DiagTensor<Cmpt>
operator&(const DiagTensor<Cmpt>& dt1, const DiagTensor<Cmpt>& dt2)
{
    return DiagTensor<Cmpt>
    (
        dt1.xx()*dt2.xx(),
        dt1.yy()*dt2.yy(),
        dt1.zz()*dt2.zz()
    );
}
 
 
//- Inner-product between a diagonal tensor and a tensor
template<class Cmpt>
inline Tensor<Cmpt>
operator&(const DiagTensor<Cmpt>& dt1, const Tensor<Cmpt>& t2)
{
    return Tensor<Cmpt>
    (
        dt1.xx()*t2.xx(),
        dt1.xx()*t2.xy(),
        dt1.xx()*t2.xz(),
 
                          dt1.yy()*t2.yx(),
                          dt1.yy()*t2.yy(),
                          dt1.yy()*t2.yz(),
 
                                            dt1.zz()*t2.zx(),
                                            dt1.zz()*t2.zy(),
                                            dt1.zz()*t2.zz()
    );
}
 
 
//- Inner-product between a tensor and a diagonal tensor
template<class Cmpt>
inline Tensor<Cmpt>
operator&(const Tensor<Cmpt>& t1, const DiagTensor<Cmpt>& dt2)
{
    return Tensor<Cmpt>
    (
        t1.xx()*dt2.xx(),
                          t1.xy()*dt2.yy(),
                                            t1.xz()*dt2.zz(),
 
        t1.yx()*dt2.xx(),
                          t1.yy()*dt2.yy(),
                                            t1.yz()*dt2.zz(),
 
        t1.zx()*dt2.xx(),
                          t1.zy()*dt2.yy(),
                                            t1.zz()*dt2.zz()
    );
}
 
 
//- Inner-product between a diagonal tensor and a vector
template<class Cmpt>
inline Vector<Cmpt>
operator&(const DiagTensor<Cmpt>& dt, const Vector<Cmpt>& v)
{
    return Vector<Cmpt>
    (
        dt.xx()*v.x(),
                       dt.yy()*v.y(),
                                      dt.zz()*v.z()
    );
}
 
 
//- Inner-product between a vector and a diagonal tensor
template<class Cmpt>
inline Vector<Cmpt>
operator&(const Vector<Cmpt>& v, const DiagTensor<Cmpt>& dt)
{
    return Vector<Cmpt>
    (
        v.x()*dt.xx(),
                       v.y()*dt.yy(),
                                      v.z()*dt.zz()
    );
}
 
 
//- Division of a scalar by a diagonalTensor
template<class Cmpt>
inline DiagTensor<Cmpt>
operator/(const scalar s, const DiagTensor<Cmpt>& dt)
{
    return DiagTensor<Cmpt>(s/dt.xx(), s/dt.yy(), s/dt.zz());
}
 
 
//- Division of a vector by a diagonalTensor
template<class Cmpt>
inline Vector<Cmpt>
operator/(const Vector<Cmpt> v, const DiagTensor<Cmpt>& dt)
{
    return Vector<Cmpt>(v.x()/dt.xx(), v.y()/dt.yy(), v.z()/dt.zz());
}
 
 
//- Return the trace of a diagonal tensor
template<class Cmpt>
inline Cmpt tr(const DiagTensor<Cmpt>& dt)
{
    return dt.xx() + dt.yy() + dt.zz();
}
 
 
//- Return the spherical part of a diagonal tensor
template<class Cmpt>
inline SphericalTensor<Cmpt> sph(const DiagTensor<Cmpt>& dt)
{
    return 0.5*tr(dt);
}
 
 
//- Return the determinant of a diagonal tensor
template<class Cmpt>
inline Cmpt det(const DiagTensor<Cmpt>& t)
{
    return t.xx()*t.yy()*t.zz();
}
 
 
//- Return the inverse of a diagonal tensor
template<class Cmpt>
inline DiagTensor<Cmpt> inv(const DiagTensor<Cmpt>& dt)
{
    return DiagTensor<Cmpt>(1.0/dt.xx(), 1.0/dt.yy(), 1.0/dt.zz());
}
 
 
//- Return the diagonal of a symmetric tensor as a diagonal tensor
template<class Cmpt>
inline DiagTensor<Cmpt> diag(const SymmTensor<Cmpt>& t)
{
    return DiagTensor<Cmpt>(t.xx(), t.yy(), t.zz());
}
 
 
//- Return the diagonal of a tensor as a diagonal tensor
template<class Cmpt>
inline DiagTensor<Cmpt> diag(const Tensor<Cmpt>& t)
{
    return DiagTensor<Cmpt>(t.xx(), t.yy(), t.zz());
}
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// ************************************************************************* //