quadraticLinearFitPolynomial.H

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011-2015 OpenFOAM Foundation
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License
    This file is part of OpenFOAM.

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Class
    Foam::quadraticLinearFitPolynomial

Description
    Quadratic/linear polynomial for interpolation fitting:
        quadratic normal to the face,
        linear in the plane of the face for consistency with 2nd-order Gauss.

    Can be used with the CentredFit scheme to create a quadratic surface
    interpolation scheme

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

#ifndef quadraticLinearFitPolynomial_H
#define quadraticLinearFitPolynomial_H

#include "vector.H"

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namespace Foam
{

/*---------------------------------------------------------------------------*\
                           Class quadraticLinearFitPolynomial Declaration
\*---------------------------------------------------------------------------*/

class quadraticLinearFitPolynomial
{
public:

    // Member functions

        static label nTerms(const direction dim)
        {
            return
            (
                dim == 1 ? 3 :
                dim == 2 ? 5 :
                dim == 3 ? 7 : 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());

            if (dim >= 2)
            {
                coeffs[curIdx++] = weight*d.y();
                coeffs[curIdx++] = weight*d.x()*d.y();
            }
            if (dim == 3)
            {
                coeffs[curIdx++] = weight*d.z();
                coeffs[curIdx++] = weight*d.x()*d.z();
            }
        }
};


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

} // End namespace Foam

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

#endif

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