arcEdge.C

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    \\  /    A nd           | Copyright (C) 2011-2026 OpenFOAM Foundation
     \\/     M anipulation  |
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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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    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/>.
 
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#include "arcEdge.H"
#include "units.H"
#include "mathematicalConstants.H"
#include "addToRunTimeSelectionTable.H"
 
// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
 
namespace Foam
{
namespace blockEdges
{
    defineTypeNameAndDebug(arcEdge, 0);
    addToRunTimeSelectionTable(blockEdge, arcEdge, Istream);
}
}
 
 
// * * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * //
 
void Foam::blockEdges::arcEdge::calc(const point& pA)
{
    const tensor dps(pA - p0_, pA - p1_, (pA - p0_)^(pA - p1_));
    const tensor pMs((p0_ + pA)/2, (p1_ + pA)/2, pA);
 
    if (det(dps) < vSmall)
    {
        FatalErrorInFunction
            << "Arc point " << pA << " lies on the line of edge "
            << edge(start_, end_) << abort(FatalError);
    }
 
    const point c =
        inv(dps)
      & vector(dps.x() & pMs.x(), dps.y() & pMs.y(), dps.z() & pMs.z());
 
    const vector r0 = p0_ - c, r1 = p1_ - c;
    const scalar cosT = (r0 & r1)/(mag(r0)*mag(r1));
    scalar t = acos(max(-1, min(cosT, 1)));
    if (((r0 ^ r1) & dps.z()) > 0)
    {
        t = 2*constant::mathematical::pi - t;
    }
 
    centre_ = c;
    axis_ = - normalised(dps.z());
    theta_ = t;
    length_ = 0;
}
 
 
void Foam::blockEdges::arcEdge::calc(const scalar theta, const vector& axis)
{
    if (0 >= theta || theta >= 360)
    {
        FatalErrorInFunction
            << "Arc angle for edge " << edge(start_, end_)
            << " must take a value between 0 and 360 degrees"
            << abort(FatalError);
    }
 
    const vector dp = p1_ - p0_;
 
    const vector pM = (p0_ + p1_)/2;
    const vector rM = normalised(dp ^ axis);
 
    const scalar l = dp & axis;
 
    const vector chord = dp - l*axis;
    const scalar magChord = mag(chord);
 
    centre_ = pM - l*axis/2 - rM*magChord/2/tan(theta/2);
    axis_ = axis;
    theta_ = theta;
    length_ = l;
}
 
 
// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
 
Foam::blockEdges::arcEdge::arcEdge
(
    const dictionary& dict,
    const label index,
    const searchableSurfaceList& geometry,
    const pointField& points,
    Istream& is
)
:
    blockEdge(dict, index, points, is),
    p0_(points_[start_]),
    p1_(points_[end_]),
    centre_(),
    axis_(),
    theta_(),
    length_()
{
    token firstToken(is);
    is.putBack(firstToken);
 
    if (firstToken == token::BEGIN_LIST)
    {
        const point pA(is);
        calc(pA);
    }
    else
    {
        const scalar theta = degToRad(readScalar(is));
        const vector axis(is);
        calc(theta, normalised(axis));
    }
}
 
 
// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
 
Foam::point Foam::blockEdges::arcEdge::position(const scalar lambda) const
{
    if (lambda < - small || lambda > 1 + small)
    {
        FatalErrorInFunction
            << "Parameter out of range, lambda = " << lambda
            << abort(FatalError);
    }
 
    const scalar t = theta_*lambda;
    const vector r1 = p0_ - centre_, r2 = axis_ ^ r1;
 
    return centre_ + r1*cos(t) + r2*sin(t) + axis_*length_*lambda;
}
 
 
Foam::scalar Foam::blockEdges::arcEdge::length() const
{
    const vector r1 = p0_ - centre_;
 
    // Length of a helical segment
    return theta_*sqrt(magSqr(r1) + sqr(length_));
}
 
 
// ************************************************************************* //