cubicUpwindFitPolynomial.H

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/*---------------------------------------------------------------------------*\
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    Copyright (C) 2011-2015 OpenFOAM Foundation
-------------------------------------------------------------------------------
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
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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
    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
Class
    Foam::cubicUpwindFitPolynomial
 
Description
    Cubic polynomial for upwind biased interpolation fitting.
 
    Can be used with the UpwindFit scheme to create a cubic surface
    interpolation scheme
 
\*---------------------------------------------------------------------------*/
 
#ifndef cubicUpwindFitPolynomial_H
#define cubicUpwindFitPolynomial_H
 
#include "vector.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                 Class cubicUpwindFitPolynomial Declaration
\*---------------------------------------------------------------------------*/
 
class cubicUpwindFitPolynomial
{
public:
 
    // Member functions
 
        static label nTerms(const direction dim)
        {
            return
            (
                dim == 1 ? 4 :
                dim == 2 ? 8 :
                dim == 3 ? 14 : 0
            );
        }
 
        static void addCoeffs
        (
            scalar* coeffs,
            const vector& d,
            const scalar weight,
            const direction dim
        )
        {
            label curIdx = 0;
 
            coeffs[curIdx++] = weight;
            coeffs[curIdx++] = weight*d.x();
            coeffs[curIdx++] = weight*sqr(d.x());
            coeffs[curIdx++] = weight*pow(d.x(),3);
 
            if (dim >= 2)
            {
                coeffs[curIdx++] = weight*d.y();
                coeffs[curIdx++] = weight*d.x()*d.y();
                coeffs[curIdx++] = weight*sqr(d.y());
                coeffs[curIdx++] = weight*d.x()*sqr(d.y());
            }
            if (dim == 3)
            {
                coeffs[curIdx++] = weight*d.z();
                coeffs[curIdx++] = weight*d.x()*d.z();
                coeffs[curIdx++] = weight*d.y()*d.z();
                coeffs[curIdx++] = weight*sqr(d.z());
                coeffs[curIdx++] = weight*d.x()*d.y()*d.z();
                coeffs[curIdx++] = weight*d.x()*sqr(d.z());
            }
        }
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //