/*---------------------------------------------------------------------------*\
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     \\/     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/>.

Class
    Foam::axesRotation

Description
    A coordinate rotation specified using global axis

    The rotation is defined by a combination of vectors (e1/e2), (e2/e3)
    or (e3/e1). Any nonorthogonality will be absorbed into the second
    vector.

    \verbatim
    axesRotation
    {
        type        axesRotation;
        e1          (1 0 0);
        e2          (0 1 0);
    }
    \endverbatim

SourceFiles
    axesRotation.C

\*---------------------------------------------------------------------------*/

#ifndef axesRotation_H
#define axesRotation_H

#include "vector.H"
#include "coordinateRotation.H"
#include "dictionary.H"
#include "runTimeSelectionTables.H"

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

/*---------------------------------------------------------------------------*\
                        Class axesRotation Declaration
\*---------------------------------------------------------------------------*/

class axesRotation
:
    public coordinateRotation
{
    // Private Data

        //- Local-to-Global transformation tensor
        tensor R_;

        //- Global-to-Local transformation tensor
        tensor Rtr_;

        //- The combination of local axes to be used
        enum axisOrder
        {
            e1e2,
            e2e3,
            e3e1
        };

    // Private Member Functions

        //- Calculate transformation tensor
        void calcTransform
        (
            const vector& axis1,
            const vector& axis2,
            const axisOrder& order = e3e1
        );


public:

    //- Runtime type information
    TypeName("axesRotation");

    // Constructors

        //- Construct from 2 axes
        axesRotation(const vector& axis, const vector& dir);

        //- Construct from components
        axesRotation(const tensor& R);

        //- Construct from dictionary
        axesRotation(const dictionary&);

        //- Construct from dictionary and list of points
        axesRotation(const dictionary&, const UList<vector>& points);

        //- Construct and return a clone
        virtual autoPtr<coordinateRotation> clone() const
        {
            return autoPtr<coordinateRotation>(new axesRotation(*this));
        }


    //- Destructor
    virtual ~axesRotation()
    {}


    // Member Functions

        //- Update the rotation for a list of points
        virtual void updatePoints(const UList<vector>& points)
        {}

        //- Return local-to-global transformation tensor
        virtual const tensor& R() const
        {
            return R_;
        }

        //- Return local Cartesian x-axis in global coordinates
        virtual const vector e1() const
        {
            return Rtr_.x();
        }

        //- Return local Cartesian y-axis in global coordinates
        virtual const vector e2() const
        {
            return Rtr_.y();
        }

        //- Return local Cartesian z-axis in global coordinates
        virtual const vector e3() const
        {
            return Rtr_.z();
        }

        //- Transform vectorField using transformation tensor field
        virtual tmp<vectorField> transform(const vectorField& st) const;

        //- Transform vector using transformation tensor
        virtual vector transform(const vector& st) const;

        //- Inverse transform vectorField using transformation tensor field
        virtual tmp<vectorField> invTransform(const vectorField& st) const;

        //- Inverse transform vector using transformation tensor
        virtual vector invTransform(const vector& st) const;

        //- Transform tensor field using transformation tensorField
        virtual tmp<tensorField> transformTensor(const tensorField& st) const;

        //- Transform tensor using transformation tensorField
        virtual tensor transformTensor(const tensor& st) const;

        //- Transform vectorField using transformation tensorField and return
        //  symmetric tensorField
        virtual tmp<symmTensorField> transformVector
        (
            const vectorField& st
        ) const;

        //- Transform vector using transformation tensor and return
        //  symmetric tensor
        virtual symmTensor transformVector(const vector& st) const;


    // Member Operators

        //- Assign from dictionary
        void operator=(const dictionary&);


    // Write

        //- Write
        virtual void write(Ostream&) const;
};


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace Foam

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#endif

// ************************************************************************* //
