SymmTensor2D.H

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    Copyright (C) 2011-2016 OpenFOAM Foundation
    Copyright (C) 2019-2023 OpenCFD Ltd.
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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.
 
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    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
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Class
    Foam::SymmTensor2D
 
Description
    A templated (2 x 2) symmetric tensor of objects of <T>, effectively
    containing 3 elements, derived from VectorSpace.
 
See also
    Test-SymmTensor2D.C
 
SourceFiles
    SymmTensor2DI.H
 
\*---------------------------------------------------------------------------*/
 
#ifndef Foam_SymmTensor2D_H
#define Foam_SymmTensor2D_H
 
#include "contiguous.H"
#include "Vector2D.H"
#include "SphericalTensor2D.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                         Class SymmTensor2D Declaration
\*---------------------------------------------------------------------------*/
 
template<class Cmpt>
class SymmTensor2D
:
    public VectorSpace<SymmTensor2D<Cmpt>, Cmpt, 3>
{
public:
 
    // Typedefs
 
        //- Equivalent type of labels used for valid component indexing
        typedef SymmTensor2D<label> labelType;
 
 
    // Member Constants
 
        //- Rank of SymmTensor2D is 2
        static constexpr direction rank = 2;
 
 
    // Static Data Members
 
        static const SymmTensor2D I;
 
 
    //- Component labeling enumeration
    enum components { XX, XY, YY };
 
 
    // Generated Methods
 
        //- Default construct
        SymmTensor2D() = default;
 
        //- Copy construct
        SymmTensor2D(const SymmTensor2D&) = default;
 
        //- Copy assignment
        SymmTensor2D& operator=(const SymmTensor2D&) = default;
 
 
    // Constructors
 
        //- Construct initialized to zero
        inline SymmTensor2D(Foam::zero);
 
        //- Construct given VectorSpace
        inline SymmTensor2D(const VectorSpace<SymmTensor2D<Cmpt>, Cmpt, 3>&);
 
        //- Construct given SphericalTensor
        inline SymmTensor2D(const SphericalTensor2D<Cmpt>&);
 
        //- Construct given the three components
        inline SymmTensor2D
        (
            const Cmpt txx, const Cmpt txy,
                            const Cmpt tyy
        );
 
        //- Construct from Istream
        inline explicit SymmTensor2D(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_[XY]; }
        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_[XY]; }
        Cmpt& yy() noexcept { return this->v_[YY]; }
 
 
    // 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
        const SymmTensor2D<Cmpt>& T() const noexcept { return *this; }
 
        //- The determinate
        inline Cmpt det() const;
 
        //- Return adjunct matrix (transpose of cofactor matrix)
        inline SymmTensor2D<Cmpt> adjunct() const;
 
        //- Return cofactor matrix (transpose of adjunct matrix)
        inline SymmTensor2D<Cmpt> cof() const;
 
        //- Return inverse
        inline SymmTensor2D<Cmpt> inv() const;
 
 
    // Member Operators
 
        //- Inherit VectorSpace assignment operators
        using SymmTensor2D::vsType::operator=;
 
        //- Construct given SphericalTensor2D
        inline void operator=(const SphericalTensor2D<Cmpt>&);
};
 
 
// * * * * * * * * * * * * * * * * * Traits  * * * * * * * * * * * * * * * * //
 
//- Data are contiguous if component type is contiguous
template<class Cmpt>
struct is_contiguous<SymmTensor2D<Cmpt>> : is_contiguous<Cmpt> {};
 
//- Data are contiguous label if component type is label
template<class Cmpt>
struct is_contiguous_label<SymmTensor2D<Cmpt>> : is_contiguous_label<Cmpt> {};
 
//- Data are contiguous scalar if component type is scalar
template<class Cmpt>
struct is_contiguous_scalar<SymmTensor2D<Cmpt>> : is_contiguous_scalar<Cmpt> {};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#include "SymmTensor2DI.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //