parallelogram_3d.inl

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/** @file
 *  @author Bram de Greve (bram@cocamware.com)
 *  @author Tom De Muer (tom@cocamware.com)
 *
 *  *** BEGIN LICENSE INFORMATION ***
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 *  The contents of this file are subject to the Common Public Attribution License 
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 *  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 
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 *  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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 */
 
 
 
#ifndef LASS_GUARDIAN_OF_INCLUSION_PRIM_SIMPLE_PARALLELOGRAM_3D_INL
#define LASS_GUARDIAN_OF_INCLUSION_PRIM_SIMPLE_PARALLELOGRAM_3D_INL
 
#include "prim_common.h"
#include "parallelogram_3d.h"
#include "impl/plane_3d_impl_detail.h"
 
namespace lass
{
namespace prim
{
 
/** constructs an empty parallelogram.
 *  support is origin and sizes are zero.
 */
template <typename T>
Parallelogram3D<T>::Parallelogram3D()
{
}
 
 
 
/** Constructs a parallelogram with a support and two sizes
 */
template <typename T>
Parallelogram3D<T>::Parallelogram3D(const TPoint& support, const TVector& sizeU, const TVector& sizeV):
    support_(support),
    sizeU_(sizeU),
    sizeV_(sizeV)
{
}
 
 
 
template <typename T> inline
const typename Parallelogram3D<T>::TPoint&
Parallelogram3D<T>::support() const
{
    return support_;
}
 
 
 
template <typename T> inline
typename Parallelogram3D<T>::TPoint&
Parallelogram3D<T>::support()
{
    return support_;
}
 
 
 
template <typename T> inline
const typename Parallelogram3D<T>::TVector&
Parallelogram3D<T>::sizeU() const
{
    return sizeU_;
}
 
 
 
template <typename T> inline
typename Parallelogram3D<T>::TVector&
Parallelogram3D<T>::sizeU()
{
    return sizeU_;
}
 
 
 
template <typename T> inline
const typename Parallelogram3D<T>::TVector&
Parallelogram3D<T>::sizeV() const
{
    return sizeV_;
}
 
 
 
template <typename T> inline
typename Parallelogram3D<T>::TVector&
Parallelogram3D<T>::sizeV()
{
    return sizeV_;
}
 
 
 
template <typename T>
const typename Parallelogram3D<T>::TPlane
Parallelogram3D<T>::plane() const
{
    return TPlane(cross(sizeU_, sizeV_), support_);
}
 
 
 
/** returns squared area of parallelogram to avoid the square root.
 *  @return num::sqr(area()) but faster :)
 */
template <typename T>
const typename Parallelogram3D<T>::TValue
Parallelogram3D<T>::squaredArea() const
{
    return cross(sizeU_, sizeV_).squaredNorm();
}
 
 
 
/** @copydoc SimplePolygon3D::area
 */
template <typename T>
const typename Parallelogram3D<T>::TValue
Parallelogram3D<T>::area() const
{
    return num::sqrt(squaredArea());
}
 
 
 
/** @copydoc SimplePolygon3D::perimeter
 */
template <typename T>
const typename Parallelogram3D<T>::TValue
Parallelogram3D<T>::perimeter() const
{
    return 2 * (sizeU_.norm() + sizeV_.norm());
}
 
 
 
template <typename T>
const typename Parallelogram3D<T>::TPoint 
Parallelogram3D<T>::point(TParam u, TParam v) const
{
    return support_ + u * sizeU_ + v * sizeV_;
}
 
 
 
template <typename T> inline
const typename Parallelogram3D<T>::TPoint
Parallelogram3D<T>::point(const TUV& uv) const
{
    return point(uv.x, uv.y);
}
 
 
 
template <typename T>
const typename Parallelogram3D<T>::TUV
Parallelogram3D<T>::uv(const TPoint& point) const
{
    TVector reciprocalU;
    TVector reciprocalV;
    impl::Plane3DImplDetail::generateReciprocal(sizeU_, sizeV_, reciprocalU, reciprocalV);
    const TVector relative = point - support_;
    return TUV(dot(relative, reciprocalU), dot(relative, reciprocalV));
}
 
 
 
/** @copydoc SimplePolygon3D::isSimple
 *  @par Parallelogram specific:
 *      A parallelogram is always simple
 */
template <typename T>
bool Parallelogram3D<T>::isSimple() const
{
    return true;
}
 
 
 
/** @copydoc SimplePolygon3D::isConvex
 *  @par Parallelogram specific:
 *      A parallelogram is always convex
 */
template <typename T>
bool Parallelogram3D<T>::isConvex() const
{
    return true;
}
 
 
 
/** @copydoc SimplePolygon3D::isReflex
 *  @par Parallelogram specific:
 *      A parallelogram never has reflex vertices
 */
template <typename T>
bool Parallelogram3D<T>::isReflex(int) const
{
    return false;
}
 
 
 
// --- private -------------------------------------------------------------------------------------
 
 
 
// --- free ----------------------------------------------------------------------------------------
 
/** @relates lass::prim::Parallelogram3D
 */
template <typename T>
io::XmlOStream& operator<<(io::XmlOStream& stream, const Parallelogram3D<T>& parallelogram)
{
    LASS_ENFORCE_STREAM(stream) << "<Parallelogram3D>\n";
    stream << "<support>" << parallelogram.support() << "</support>\n";
    stream << "<sizeU>" << parallelogram.sizeU() << "</sizeU>\n";
    stream << "<sizeV>" << parallelogram.sizeV() << "</sizeV>\n";
    stream << "</Parallelogram3D>\n";
    return stream;
}
 
 
 
/** @relates lass::prim::Parallelogram3D
 */
template <typename T>
std::ostream& operator<<(std::ostream& stream, const Parallelogram3D<T>& parallelogram)
{
    LASS_ENFORCE_STREAM(stream) 
        << "{S=" << parallelogram.support() << ", U=" << parallelogram.sizeU() 
        << ", V=" << parallelogram.sizeV() << "}";
    return stream;
}
 
 
 
}
 
}
 
#endif
 
// EOF