BSpline.C

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2009-2010 OpenCFD Ltd.
     \\/     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
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\*---------------------------------------------------------------------------*/

#include <OpenFOAM/error.H>
#include "BSpline.H"

// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //

Foam::BSpline::BSpline
(
    const pointField& knots,
    const bool closed
)
:
    polyLine(knots, closed)
{}


// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //

Foam::point Foam::BSpline::position(const scalar mu) const
{
    // endpoints
    if (mu < SMALL)
    {
        return points_[0];
    }
    else if (mu > 1 - SMALL)
    {
        return points_[points_.size()-1];
    }

    scalar lambda = mu;
    label segment = localParameter(lambda);
    return position(segment, lambda);
}


Foam::point Foam::BSpline::position
(
    const label segment,
    const scalar mu
) const
{
    // out-of-bounds
    if (segment < 0)
    {
        return points_[0];
    }
    else if (segment > nSegments())
    {
        return points_[points_.size()-1];
    }

    const point& p0 = points()[segment];
    const point& p1 = points()[segment+1];

    // special cases - no calculation needed
    if (mu <= 0.0)
    {
        return p0;
    }
    else if (mu >= 1.0)
    {
        return p1;
    }


    // determine the end points
    point e0;
    point e1;

    if (segment == 0)
    {
        // end: simple reflection
        e0 = 2*p0 - p1;
    }
    else
    {
        e0 = points()[segment-1];
    }

    if (segment+1 == nSegments())
    {
        // end: simple reflection
        e1 = 2*p1 - p0;
    }
    else
    {
        e1 = points()[segment+2];
    }


    return 1.0/6.0 *
    (
        ( e0 + 4*p0 + p1 )
      + mu *
        (
            ( -3*e0 + 3*p1 )
          + mu *
            (
                ( 3*e0 - 6*p0 + 3*p1 )
              + mu *
                ( -e0 + 3*p0 - 3*p1 + e1 )
            )
        )
    );
}


Foam::scalar Foam::BSpline::length() const
{
    notImplemented("BSpline::length() const");
    return 1.0;
}


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