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OpenFOAM-dev / data /src /OpenFOAM /primitives /DiagTensor /DiagTensorI.H
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/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2011-2026 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/>.
\*---------------------------------------------------------------------------*/
#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 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());
}
//- Return the transpose of a diagonal tensor
template<class Cmpt>
inline const DiagTensor<Cmpt>& T(const DiagTensor<Cmpt>& dt)
{
return dt;
}
//- 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
// ************************************************************************* //