141 lines
3.2 KiB
C
141 lines
3.2 KiB
C
/*---------------------------------------------------------------------------*\
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / A nd | Copyright held by original author
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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License
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This file is part of OpenFOAM.
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OpenFOAM is free software; you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by the
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Free Software Foundation; either version 2 of the License, or (at your
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option) any later version.
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OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with OpenFOAM; if not, write to the Free Software Foundation,
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Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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\*---------------------------------------------------------------------------*/
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#include "error.H"
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#include "CatmullRomSpline.H"
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// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
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Foam::CatmullRomSpline::CatmullRomSpline
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(
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const pointField& knots,
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const bool closed
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)
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:
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polyLine(knots, closed)
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{}
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// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
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Foam::point Foam::CatmullRomSpline::position(const scalar mu) const
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{
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// endpoints
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if (mu < SMALL)
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{
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return points()[0];
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}
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else if (mu > 1 - SMALL)
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{
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return points()[points().size()-1];
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}
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scalar lambda = mu;
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label segment = localParameter(lambda);
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return position(segment, lambda);
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}
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Foam::point Foam::CatmullRomSpline::position
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(
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const label segment,
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const scalar mu
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) const
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{
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// out-of-bounds
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if (segment < 0)
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{
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return points()[0];
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}
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else if (segment > nSegments())
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{
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return points()[points().size()-1];
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}
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const point& p0 = points()[segment];
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const point& p1 = points()[segment+1];
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// special cases - no calculation needed
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if (mu <= 0.0)
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{
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return p0;
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}
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else if (mu >= 1.0)
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{
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return p1;
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}
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// determine the end points
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point e0;
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point e1;
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if (segment == 0)
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{
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// end: simple reflection
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e0 = 2*p0 - p1;
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}
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else
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{
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e0 = points()[segment-1];
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}
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if (segment+1 == nSegments())
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{
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// end: simple reflection
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e1 = 2*p1 - p0;
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}
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else
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{
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e1 = points()[segment+2];
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}
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return 0.5 *
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(
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( 2*p0 )
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+ mu *
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(
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( -e0 + p1 )
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+ mu *
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(
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( 2*e0 - 5*p0 + 4*p1 - e1 )
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+ mu *
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( -e0 + 3*p0 - 3*p1 + e1 )
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)
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)
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);
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}
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Foam::scalar Foam::CatmullRomSpline::length() const
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{
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notImplemented("CatmullRomSpline::length() const");
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return 1.0;
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}
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// ************************************************************************* //
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