Tensor2D.H

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
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-------------------------------------------------------------------------------
    Copyright (C) 2011-2016 OpenFOAM Foundation
    Copyright (C) 2018-2023 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::Tensor2D
 
Description
    A templated (2 x 2) tensor of objects of <T> derived from VectorSpace.
 
SourceFiles
    Tensor2DI.H
 
\*---------------------------------------------------------------------------*/
 
#ifndef Foam_Tensor2D_H
#define Foam_Tensor2D_H
 
#include "Vector2D.H"
#include "SphericalTensor2D.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
// Forward Declarations
template<class Cmpt> class SymmTensor2D;
 
/*---------------------------------------------------------------------------*\
                           Class Tensor2D Declaration
\*---------------------------------------------------------------------------*/
 
template<class Cmpt>
class Tensor2D
:
    public VectorSpace<Tensor2D<Cmpt>, Cmpt, 4>
{
public:
 
    // Typedefs
 
        //- Equivalent type of labels used for valid component indexing
        typedef Tensor2D<label> labelType;
 
 
    // Member Constants
 
        //- Rank of Tensor2D is 2
        static constexpr direction rank = 2;
 
 
    // Static Data Members
 
        static const Tensor2D I;
 
 
    //- Component labeling enumeration
    enum components { XX, XY, YX, YY };
 
 
    // Generated Methods
 
        //- Default construct
        Tensor2D() = default;
 
        //- Copy construct
        Tensor2D(const Tensor2D&) = default;
 
        //- Copy assignment
        Tensor2D& operator=(const Tensor2D&) = default;
 
 
    // Constructors
 
        //- Construct initialized to zero
        inline Tensor2D(Foam::zero);
 
        //- Construct given VectorSpace
        inline Tensor2D(const VectorSpace<Tensor2D<Cmpt>, Cmpt, 4>& vs);
 
        //- Construct given SymmTensor2D
        inline Tensor2D(const SymmTensor2D<Cmpt>& st);
 
        //- Construct given SphericalTensor2D
        inline Tensor2D(const SphericalTensor2D<Cmpt>& st);
 
        //- Construct given the two row vectors
        inline Tensor2D
        (
            const Vector2D<Cmpt>& x,
            const Vector2D<Cmpt>& y
        );
 
        //- Construct given the four components
        inline Tensor2D
        (
            const Cmpt txx, const Cmpt txy,
            const Cmpt tyx, const Cmpt tyy
        );
 
        //- Construct from Istream
        inline explicit Tensor2D(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& yx() const noexcept { return this->v_[YX]; }
        const Cmpt& yy() const noexcept { return this->v_[YY]; }
 
        Cmpt& xx() noexcept { return this->v_[XX]; }
        Cmpt& xy() noexcept { return this->v_[XY]; }
        Cmpt& yx() noexcept { return this->v_[YX]; }
        Cmpt& yy() noexcept { return this->v_[YY]; }
 
 
    // Column-vector access
 
        //- Extract vector for column 0
        inline Vector2D<Cmpt> cx() const;
 
        //- Extract vector for column 1
        inline Vector2D<Cmpt> cy() const;
 
        //- Extract vector for given column: compile-time check of index
        template<direction Idx>
        inline Vector2D<Cmpt> col() const;
 
        //- Extract vector for given column (0,1): runtime check of index
        inline Vector2D<Cmpt> col(const direction c) const;
 
        //- Set values of given column: compile-time check of index
        template<direction Idx>
        inline void col(const Vector2D<Cmpt>& v);
 
        //- Set values of given column (0,1): runtime check of index
        inline void col(const direction c, const Vector2D<Cmpt>& v);
 
        //- Set column values
        inline void cols(const Vector2D<Cmpt>& x, const Vector2D<Cmpt>& y);
 
 
    // Row-vector access
 
        //- Extract vector for row 0
        inline Vector2D<Cmpt> x() const;
 
        //- Extract vector for row 1
        inline Vector2D<Cmpt> y() const;
 
        //- Extract vector for given row: compile-time check of index
        template<direction Idx>
        inline Vector2D<Cmpt> row() const;
 
        //- Extract vector for given row (0,1): runtime check of index
        inline Vector2D<Cmpt> row(const direction r) const;
 
        //- Set values of given row: compile-time check of index
        template<direction Idx>
        inline void row(const Vector2D<Cmpt>& v);
 
        //- Set values of given row (0,1): compile-time check of index
        inline void row(const direction r, const Vector2D<Cmpt>& v);
 
        //- Set row values
        inline void rows(const Vector2D<Cmpt>& x, const Vector2D<Cmpt>& y);
 
 
    // Diagonal access and manipulation
 
        //- Extract the diagonal as a vector
        inline Vector2D<Cmpt> diag() const;
 
        //- Set values of the diagonal
        inline void diag(const Vector2D<Cmpt>& v);
 
        //- The L2-norm squared of the diagonal
        inline scalar diagSqr() const;
 
 
    // Tensor Operations
 
        //- Return non-Hermitian transpose
        inline Tensor2D<Cmpt> T() const;
 
        //- The determinate
        inline Cmpt det() const;
 
        //- Return adjunct matrix (transpose of cofactor matrix)
        inline Tensor2D<Cmpt> adjunct() const;
 
        //- Return cofactor matrix (transpose of adjunct matrix)
        inline Tensor2D<Cmpt> cof() const;
 
        //- Return inverse
        inline Tensor2D<Cmpt> inv() const;
 
        //- Inner-product of this with another Tensor2D.
        inline Tensor2D<Cmpt> inner(const Tensor2D<Cmpt>& t2) const;
 
        //- Schur-product of this with another Tensor2D.
        inline Tensor2D<Cmpt> schur(const Tensor2D<Cmpt>& t2) const;
 
 
    // Member Operators
 
        //- Copy assign from SymmTensor2D
        inline void operator=(const SymmTensor2D<Cmpt>&);
 
        //- Copy assign from SphericalTensor2D
        inline void operator=(const SphericalTensor2D<Cmpt>&);
 
 
    // Housekeeping
 
        //- Deprecated(2018-12) Return vector for given row (0,1)
        //  \deprecated(2018-12) use row() method
        FOAM_DEPRECATED_FOR(2018-12, "row()")
        Vector2D<Cmpt> vectorComponent(const direction cmpt) const
        {
            return row(cmpt);
        }
};
 
 
// * * * * * * * * * * * * * * * * * Traits  * * * * * * * * * * * * * * * * //
 
//- Data are contiguous if component type is contiguous
template<class Cmpt>
struct is_contiguous<Tensor2D<Cmpt>> : is_contiguous<Cmpt> {};
 
//- Data are contiguous label if component type is label
template<class Cmpt>
struct is_contiguous_label<Tensor2D<Cmpt>> : is_contiguous_label<Cmpt> {};
 
//- Data are contiguous scalar if component type is scalar
template<class Cmpt>
struct is_contiguous_scalar<Tensor2D<Cmpt>> : is_contiguous_scalar<Cmpt> {};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#include "Tensor2DI.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //