plane_3d.inl

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/** @file
 *  @author Bram de Greve (bram@cocamware.com)
 *  @author Tom De Muer (tom@cocamware.com)
 *
 *  *** BEGIN LICENSE INFORMATION ***
 *  
 *  The contents of this file are subject to the Common Public Attribution License 
 *  Version 1.0 (the "License"); you may not use this file except in compliance with 
 *  the License. You may obtain a copy of the License at 
 *  http://lass.sourceforge.net/cpal-license. The License is based on the 
 *  Mozilla Public License Version 1.1 but Sections 14 and 15 have been added to cover 
 *  use of software over a computer network and provide for limited attribution for 
 *  the Original Developer. In addition, Exhibit A has been modified to be consistent 
 *  with Exhibit B.
 *  
 *  Software distributed under the License is distributed on an "AS IS" basis, WITHOUT 
 *  WARRANTY OF ANY KIND, either express or implied. See the License for the specific 
 *  language governing rights and limitations under the License.
 *  
 *  The Original Code is LASS - Library of Assembled Shared Sources.
 *  
 *  The Initial Developer of the Original Code is Bram de Greve and Tom De Muer.
 *  The Original Developer is the Initial Developer.
 *  
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 *  Copyright (C) 2004-2011 the Initial Developer.
 *  All Rights Reserved.
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 *  GNU General Public License Version 2 or later (the GPL), in which case the 
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 *  
 *  *** END LICENSE INFORMATION ***
 */
 
 
 
#ifndef LASS_GUARDIAN_OF_INCLUSION_PRIM_PLANE_3D_INL
#define LASS_GUARDIAN_OF_INCLUSION_PRIM_PLANE_3D_INL
 
#include "prim_common.h"
#include "plane_3d.h"
 
namespace lass
{
namespace prim
{
 
// --- public --------------------------------------------------------------------------------------
 
template<typename T, typename EP, typename NP>
Plane3D<T, EP, NP>::Plane3D():
    TImpl()
{
}
 
 
 
 
template<typename T, typename EP, typename NP>
Plane3D<T, EP, NP>::Plane3D(const TPoint& iSupport,
                            const TPoint& iPointU,
                            const TPoint& iPointV):
    TImpl(iSupport, iPointU, iPointV)
{
}
 
 
 
template<typename T, typename EP, typename NP>
Plane3D<T, EP, NP>::Plane3D(const TPoint& iSupport,
                            const TVector& iDirU,
                            const TVector& iDirV):
    TImpl(iSupport, iDirU, iDirV)
{
}
 
 
 
template<typename T, typename EP, typename NP>
Plane3D<T, EP, NP>::Plane3D(const TVector& iNormal, const TPoint& iSupport):
    TImpl(iNormal, iSupport)
{
}
 
 
 
template<typename T, typename EP, typename NP>
Plane3D<T, EP, NP>::Plane3D(const TVector& iNormal, TParam iD):
    TImpl(iNormal, iD)
{
}
 
 
 
/** Return on what side a point is located.
 */
template<typename T, typename EP, typename NP>
Side Plane3D<T, EP, NP>::classify(const TPoint& iPoint) const
{
    const TValue eq = this->equation(iPoint);
    return eq > TNumTraits::zero ? sFront : (eq < TNumTraits::zero ? sBack : sSurface);
}
 
 
 
/** Return signed distance of point to plane.
 *  negative value means point is in the back.
 */
template<typename T, typename EP, typename NP>
const typename Plane3D<T, EP, NP>::TValue
Plane3D<T, EP, NP>::signedDistance(const TPoint& iPoint) const
{
    return NP::divideByNorm(this->equation(iPoint), this->normal());
}
 
 
 
/** Return squared distance of point to plane.
 */
template<typename T, typename EP, typename NP>
const typename Plane3D<T, EP, NP>::TValue
Plane3D<T, EP, NP>::squaredDistance(const TPoint& iPoint) const
{
    return num::sqr(this->signedDistance(iPoint));
}
 
 
 
/** Return on what side a point is located.
 */
template<typename T, typename EP, typename NP>
Side Plane3D<T, EP, NP>::classify(const TPoint& iPoint, TParam iRelativeTolerance) const
{
    const TValue eq = this->equation(iPoint, iRelativeTolerance);
    return eq > TNumTraits::zero ? sFront : (eq < TNumTraits::zero ? sBack : sSurface);
}
 
 
 
/** Return signed distance of point to plane.
 *  negative value means point is in the back.
 */
template<typename T, typename EP, typename NP>
const typename Plane3D<T, EP, NP>::TValue
Plane3D<T, EP, NP>::signedDistance(const TPoint& iPoint, TParam iRelativeTolerance) const
{
    return NP::divideByNorm(equation(iPoint, iRelativeTolerance), this->normal());
}
 
 
 
/** Return squared distance of point to plane.
 */
template<typename T, typename EP, typename NP>
const typename Plane3D<T, EP, NP>::TValue
Plane3D<T, EP, NP>::squaredDistance(const TPoint& iPoint, TParam iRelativeTolerance) const
{
    return num::sqr(signedDistance(iPoint, iRelativeTolerance));
}
 
 
 
/** determines the major axis of the normal vector.
 *  The major axis is the one with the largest (absolute) component value.  e.g. if the normal
 *  vector is (-1, 4, -8), this will be the @e z axis because abs(-8) > abs(4) > abs(-1).
 *  In case there's more than one major axis possible, the "highest" index is choosen.  e.g.
 *  if the normal vector is (1, 1, 0), then @e y axis will be choosen, because @e y has a higher
 *  index than @e x .
 */
template<typename T, typename EP, typename NP>
const XYZ Plane3D<T, EP, NP>::majorAxis() const
{
    const TVector absNormal = this->normal().transform(num::abs);
    if (absNormal.x > absNormal.y && absNormal.x > absNormal.z)
    {
        return 0; // x
    }
    else if (absNormal.y > absNormal.z)
    {
        return 1; // y
    }
    else
    {
        return 2; // z
    }
    LASS_ASSERT(false);
    return 0;
}
 
 
 
// --- protected -----------------------------------------------------------------------------------
 
 
 
// --- private -------------------------------------------------------------------------------------
 
 
 
// --- free ----------------------------------------------------------------------------------------
 
 
/** @relates Plane3D
 */
template <typename T>
io::XmlOStream& operator<<(io::XmlOStream& ioOStream, const Plane3D<T, Cartesian>& iPlane)
{
    LASS_ENFORCE_STREAM(ioOStream)
        << "<Plane3D>\n"
        << "<normal>" << iPlane.normal() << "</normal>\n"
        << "<d>" << iPlane.d() << "</d>\n"
        << "</Plane3D>\n";
 
    return ioOStream;
}
 
 
 
/** @relates Plane3D
 */
template <typename T>
io::XmlOStream& operator<<(io::XmlOStream& ioOStream, const Plane3D<T, Parametric>& iPlane)
{
    LASS_ENFORCE_STREAM(ioOStream)
        << "<Plane3D>\n"
        << "<support>" << iPlane.support() << "</support>\n"
        << "<directionU>" << iPlane.directionU() << "</directionU>\n"
        << "<directionV>" << iPlane.directionV() << "</directionV>\n"
        << "</Plane3D>\n";
 
    return ioOStream;
}
 
 
 
/** @relates Plane3D
 */
template <typename T>
io::XmlOStream& operator<<(io::XmlOStream& ioOStream, const Plane3D<T, Combined>& iPlane)
{
    LASS_ENFORCE_STREAM(ioOStream)
        << "<Plane3D>\n"
        << "<support>" << iPlane.support() << "</support>\n"
        << "<directionU>" << iPlane.directionU() << "</directionU>\n"
        << "<directionV>" << iPlane.directionV() << "</directionV>\n"
        << "<normal>" << iPlane.normal() << "</normal>\n"
        << "<d>" << iPlane.d() << "</d>\n"
        << "</Plane3D>\n";
 
    return ioOStream;
}
 
 
 
}
 
}
 
#endif
 
// EOF