CADCurve.cpp

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////////////////////////////////////////////////////////////////////////////////
//
//  File: CADCurve.cpp
//
//  For more information, please see: http://www.nektar.info/
//
//  The MIT License
//
//  Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
//  Department of Aeronautics, Imperial College London (UK), and Scientific
//  Computing and Imaging Institute, University of Utah (USA).
//
//  License for the specific language governing rights and limitations under
//  Permission is hereby granted, free of charge, to any person obtaining a
//  copy of this software and associated documentation files (the "Software"),
//  to deal in the Software without restriction, including without limitation
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//  and/or sell copies of the Software, and to permit persons to whom the
//  Software is furnished to do so, subject to the following conditions:
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//  The above copyright notice and this permission notice shall be included
//  in all copies or substantial portions of the Software.
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//  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
//  OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
//  FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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//  DEALINGS IN THE SOFTWARE.
//
//  Description: CAD object curve methods.
//
////////////////////////////////////////////////////////////////////////////////

#include <LibUtilities/CADSystem/CADCurve.h>

using namespace std;

namespace Nektar {
namespace LibUtilities {

/**
 * @brief Default constructor.
 */
CADCurve::CADCurve(int i, TopoDS_Shape in) : m_ID(i)
{
    gp_Trsf transform;
    gp_Pnt ori(0.0, 0.0, 0.0);
    transform.SetScale(ori, 1.0 / 1000.0);
    TopLoc_Location mv(transform);
    in.Move(mv);
    m_occCurve = BRepAdaptor_Curve(TopoDS::Edge(in));
}

/**
 * @brief Calculates the parametric coordinate and arclength location
 * defined by \p s.
 *
 * @param s Arclength location.
 * @return Calculated parametric coordinate.
 *
 * @todo This really needs improving for accuracy.
 */
NekDouble CADCurve::tAtArcLength(NekDouble s)
{
    NekDouble dt = (m_occCurve.LastParameter() -
                    m_occCurve.FirstParameter()) / (5000);
    NekDouble t = m_occCurve.FirstParameter();

    NekDouble len = 0.0;

    while(len <= s)
    {
        gp_Pnt P1,P2;
        gp_Vec drdt1,drdt2;

        m_occCurve.D1(t,P1,drdt1);
        t += dt;
        m_occCurve.D1(t,P2,drdt2);

        len += (drdt1.Magnitude() + drdt2.Magnitude()) / 2.0 * dt;
    }

    return t - dt;
}

/**
 * @brief Calculates the arclength between the two paremetric points \p ti
 * and \p tf. \p ti must be less than \p tf.
 *
 * @param ti First parametric coordinate.
 * @param tf Second parametric coordinate.
 * @return Arc length between \p ti and \p tf.
 */
NekDouble CADCurve::Length(NekDouble ti, NekDouble tf)
{
    NekDouble len = 0;
    NekDouble dt = (m_occCurve.LastParameter() -
                    m_occCurve.FirstParameter()) / (1000 - 1);
    NekDouble t = ti;

    while(t + dt <= tf)
    {
        gp_Pnt P1,P2;
        gp_Vec drdt1,drdt2;

        m_occCurve.D1(t,P1,drdt1);
        t += dt;
        m_occCurve.D1(t,P2,drdt2);

        len += (drdt1.Magnitude() + drdt2.Magnitude()) / 2.0 * dt;
    }

    return len;
}

/**
 * @brief Gets the location (x,y,z) in an array out of the curve at point \p t.
 *
 * @param t Parametric coordinate
 * @return Array of x,y,z
 */
Array<OneD, NekDouble> CADCurve::P(NekDouble t)
{
    Array<OneD, NekDouble> location(3);
    gp_Pnt loc = m_occCurve.Value(t);

    location[0] = loc.X();
    location[1] = loc.Y();
    location[2] = loc.Z();

    return location;
}

/**
 * @brief Returns the minimum and maximum parametric coords t of the curve.
 *
 * @return Array of two entries, min and max parametric coordinate.
 */

Array<OneD, NekDouble> CADCurve::Bounds()
{
    Array<OneD, NekDouble> t(2);
    t[0] = m_occCurve.FirstParameter();
    t[1] = m_occCurve.LastParameter();

    return t;
}

/**
 * @brief Gets OpenCascade point objects for the start and end of the curve.
 *
 * @return Array with 6 entries of endpoints x1,y1,z1,x2,y2,z2.
 */

Array<OneD, NekDouble> CADCurve::GetMinMax()
{
    Array<OneD, NekDouble> locs(6);

    gp_Pnt start = m_occCurve.Value(m_occCurve.FirstParameter());
    gp_Pnt end   = m_occCurve.Value(m_occCurve.LastParameter());

    locs[0] = start.X();
    locs[1] = start.Y();
    locs[2] = start.Z();
    locs[3] = end.X();
    locs[4] = end.Y();
    locs[5] = end.Z();

    return locs;
}

}
}