SymmTensor.H

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/*---------------------------------------------------------------------------*\
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-------------------------------------------------------------------------------
    Copyright (C) 2011-2016 OpenFOAM Foundation
    Copyright (C) 2019-2025 OpenCFD Ltd.
-------------------------------------------------------------------------------
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/>.
 
Class
    Foam::SymmTensor
 
Description
    A templated (3 x 3) symmetric tensor of objects of <T>, effectively
    containing 6 elements, derived from VectorSpace.
 
SourceFiles
    SymmTensorI.H
 
\*---------------------------------------------------------------------------*/
 
#ifndef Foam_SymmTensor_H
#define Foam_SymmTensor_H
 
#include "Vector.H"
#include "SphericalTensor.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                           Class SymmTensor Declaration
\*---------------------------------------------------------------------------*/
 
template<class Cmpt>
class SymmTensor
:
    public VectorSpace<SymmTensor<Cmpt>, Cmpt, 6>
{
public:
 
    // Typedefs
 
        //- Equivalent type of labels used for valid component indexing
        typedef SymmTensor<label> labelType;
 
 
    // Member Constants
 
        //- Rank of SymmTensor is 2
        static constexpr direction rank = 2;
 
 
    // Static Data Members
 
        static const SymmTensor I;
 
 
    //- Component labeling enumeration
    enum components { XX, XY, XZ, YY, YZ, ZZ };
 
 
    // Generated Methods
 
        //- Default construct
        SymmTensor() = default;
 
        //- Copy construct
        SymmTensor(const SymmTensor&) = default;
 
        //- Copy assignment
        SymmTensor& operator=(const SymmTensor&) = default;
 
 
    // Constructors
 
        //- Construct initialized to zero
        inline SymmTensor(Foam::zero);
 
        //- Construct given VectorSpace of the same rank
        template<class Cmpt2>
        inline SymmTensor(const VectorSpace<SymmTensor<Cmpt2>, Cmpt2, 6>&);
 
        //- Construct given SphericalTensor
        inline SymmTensor(const SphericalTensor<Cmpt>&);
 
        //- Construct given the three row (or column) vectors
        inline SymmTensor
        (
            const Vector<Cmpt>& x,
            const Vector<Cmpt>& y,
            const Vector<Cmpt>& z,
            const bool transposed = false  /* ignored */
        );
 
        //- Construct given the six components
        inline SymmTensor
        (
            const Cmpt txx, const Cmpt txy, const Cmpt txz,
                            const Cmpt tyy, const Cmpt tyz,
                                            const Cmpt tzz
        );
 
        //- Construct from Istream
        inline explicit SymmTensor(Istream& is);
 
 
    // Member Functions
 
    // Component Access
 
        const Cmpt& xx() const noexcept { return this->v_[XX]; }
        const Cmpt& xy() const noexcept { return this->v_[XY]; }
        const Cmpt& xz() const noexcept { return this->v_[XZ]; }
        const Cmpt& yx() const noexcept { return this->v_[XY]; }
        const Cmpt& yy() const noexcept { return this->v_[YY]; }
        const Cmpt& yz() const noexcept { return this->v_[YZ]; }
        const Cmpt& zx() const noexcept { return this->v_[XZ]; }
        const Cmpt& zy() const noexcept { return this->v_[YZ]; }
        const Cmpt& zz() const noexcept { return this->v_[ZZ]; }
 
        Cmpt& xx() noexcept { return this->v_[XX]; }
        Cmpt& xy() noexcept { return this->v_[XY]; }
        Cmpt& xz() noexcept { return this->v_[XZ]; }
        Cmpt& yx() noexcept { return this->v_[XY]; }
        Cmpt& yy() noexcept { return this->v_[YY]; }
        Cmpt& yz() noexcept { return this->v_[YZ]; }
        Cmpt& zx() noexcept { return this->v_[XZ]; }
        Cmpt& zy() noexcept { return this->v_[YZ]; }
        Cmpt& zz() noexcept { return this->v_[ZZ]; }
 
 
    // Column-vector access
 
        //- Extract vector for column 0
        Vector<Cmpt> cx() const { return this->x(); }
 
        //- Extract vector for column 1
        Vector<Cmpt> cy() const { return this->y(); }
 
        //- Extract vector for column 2
        Vector<Cmpt> cz() const { return this->z(); }
 
        //- Extract vector for given column: compile-time check of index
        template<direction Idx>
        Vector<Cmpt> col() const { return this->row<Idx>(); }
 
        //- Extract vector for given column (0,1,2): runtime check of index
        Vector<Cmpt> col(const direction c) const { return this->row(c); }
 
        //- Set values of given column (0,1,2): runtime check of index
        void col(const direction c, const Vector<Cmpt>& v) { this->row(c, v); }
 
        //- Set column values
        void cols
        (
            const Vector<Cmpt>& x,
            const Vector<Cmpt>& y,
            const Vector<Cmpt>& z
        )
        {
            this->rows(x, y, z);
        }
 
 
    // Row-vector access
 
        //- Extract vector for row 0
        inline Vector<Cmpt> x() const;
 
        //- Extract vector for row 1
        inline Vector<Cmpt> y() const;
 
        //- Extract vector for row 2
        inline Vector<Cmpt> z() const;
 
        //- Extract vector for given row: compile-time check of index
        template<direction Row>
        inline Vector<Cmpt> row() const;
 
        //- Extract vector for given row (0,1,2): runtime check of index
        inline Vector<Cmpt> row(const direction r) const;
 
        //- Set values of given row: compile-time check of index
        template<direction Idx>
        inline void row(const Vector<Cmpt>& v);
 
        //- Set values of given row (0,1,2): runtime check of row
        inline void row(const direction r, const Vector<Cmpt>& v);
 
        //- Set row values
        inline void rows
        (
            const Vector<Cmpt>& x,
            const Vector<Cmpt>& y,
            const Vector<Cmpt>& z
        );
 
 
    // Diagonal access and manipulation
 
        //- Extract the diagonal as a vector
        inline Vector<Cmpt> diag() const;
 
        //- Set values of the diagonal
        inline void diag(const Vector<Cmpt>& v);
 
        //- Add to the diagonal
        inline void addDiag(const Vector<Cmpt>& v);
 
        //- Subtract from the diagonal
        inline void subtractDiag(const Vector<Cmpt>& v);
 
        //- The L2-norm squared of the diagonal
        inline scalar diagSqr() const;
 
 
    // Characteristics
 
        //- Is identity tensor?
        inline bool is_identity(const scalar tol = ROOTVSMALL) const;
 
 
    // Tensor Operations
 
        //- Return non-Hermitian transpose
        const SymmTensor<Cmpt>& T() const noexcept { return *this; }
 
        //- The determinate
        inline Cmpt det() const;
 
        //- The 2D determinant by excluding given direction
        inline Cmpt det2D(const direction excludeCmpt) const;
 
        //- Return adjunct matrix (transpose of cofactor matrix)
        inline SymmTensor<Cmpt> adjunct() const;
 
        //- Return cofactor matrix (transpose of adjunct matrix)
        inline SymmTensor<Cmpt> cof() const;
 
        //- Return 2D adjunct matrix by excluding given direction
        inline SymmTensor<Cmpt> adjunct2D(const direction excludeCmpt) const;
 
        //- Return inverse
        inline SymmTensor<Cmpt> inv() const;
 
        //- Return inverse, with (ad hoc) failsafe handling of 2D tensors
        inline SymmTensor<Cmpt> safeInv() const;
 
        //- Return inverse of 2D tensor (by excluding given direction)
        inline SymmTensor<Cmpt> inv2D(const direction excludeCmpt) const;
 
 
    // Member Operators
 
        //- Inherit VectorSpace assignment operators
        using SymmTensor::vsType::operator=;
 
        //- Assign to given SphericalTensor
        inline void operator=(const SphericalTensor<Cmpt>&);
};
 
 
// * * * * * * * * * * * * * * * * * Traits  * * * * * * * * * * * * * * * * //
 
//- Data are contiguous if component type is contiguous
template<class Cmpt>
struct is_contiguous<SymmTensor<Cmpt>> : is_contiguous<Cmpt> {};
 
//- Data are contiguous label if component type is label
template<class Cmpt>
struct is_contiguous_label<SymmTensor<Cmpt>> : is_contiguous_label<Cmpt> {};
 
//- Data are contiguous scalar if component type is scalar
template<class Cmpt>
struct is_contiguous_scalar<SymmTensor<Cmpt>> : is_contiguous_scalar<Cmpt> {};
 
 
template<class Cmpt>
class symmTypeOfRank<Cmpt, 2>
{
public:
 
    typedef SymmTensor<Cmpt> type;
};
 
 
template<class Cmpt>
class typeOfSolve<SymmTensor<Cmpt>>
{
public:
 
    typedef SymmTensor<solveScalar> type;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#include "SymmTensorI.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //