line.C

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     | Website:  https://openfoam.org
    \\  /    A nd           | Copyright (C) 2011-2018 OpenFOAM Foundation
     \\/     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.

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    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 "line.H"

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

namespace Foam
{

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

template<>
scalar line<point2D, const point2D&>::nearestDist
(
    const line<point2D, const point2D&>& e,
    point2D& thisPt,
    point2D& edgePt
) const
{
    vector2D u = end()-start();
    vector2D v = e.end()-e.start();
    vector2D w = start()-e.start();

    scalar d = u.perp(v);

    if (Foam::mag(d) > vSmall)
    {
        scalar s = v.perp(w) / d;

        if (s <= small)
        {
            thisPt = start();
        }
        else if (s >= (1-small))
        {
            thisPt = end();
        }
        else
        {
            thisPt = start()+s*u;
        }


        scalar t = u.perp(w) / d;

        if (t <= small)
        {
            edgePt = e.start();
        }
        else if (t >= (1-small))
        {
            edgePt = e.end();
        }
        else
        {
            edgePt = e.start()+t*v;
        }
    }
    else
    {
        // Parallel lines. Find overlap of both lines by projecting onto
        // direction vector (now equal for both lines).

        scalar edge0 = e.start() & u;
        scalar edge1 = e.end() & u;
        bool edgeOrder = edge0 < edge1;

        scalar minEdge = (edgeOrder ? edge0 : edge1);
        scalar maxEdge = (edgeOrder ? edge1 : edge0);
        const point2D& minEdgePt = (edgeOrder ? e.start() : e.end());
        const point2D& maxEdgePt = (edgeOrder ? e.end() : e.start());

        scalar this0 = start() & u;
        scalar this1 = end() & u;
        bool thisOrder = this0 < this1;

        scalar minThis = min(this0, this1);
        scalar maxThis = max(this1, this0);
        const point2D& minThisPt = (thisOrder ? start() : end());
        const point2D& maxThisPt = (thisOrder ? end() : start());

        if (maxEdge < minThis)
        {
            // edge completely below *this
            edgePt = maxEdgePt;
            thisPt = minThisPt;
        }
        else if (maxEdge < maxThis)
        {
            // maxEdge inside interval of *this
            edgePt = maxEdgePt;
            thisPt = nearestDist(edgePt).rawPoint();
        }
        else
        {
            // maxEdge outside. Check if minEdge inside.
            if (minEdge < minThis)
            {
                // Edge completely envelops this. Take any this point and
                // determine nearest on edge.
                thisPt = minThisPt;
                edgePt = e.nearestDist(thisPt).rawPoint();
            }
            else if (minEdge < maxThis)
            {
                // minEdge inside this interval.
                edgePt = minEdgePt;
                thisPt = nearestDist(edgePt).rawPoint();
            }
            else
            {
                // minEdge outside this interval
                edgePt = minEdgePt;
                thisPt = maxThisPt;
            }
        }
    }

    return Foam::mag(thisPt - edgePt);
}


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

} // End namespace Foam

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