Knot_6_2.ih

/**
 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Lesser General Public License as
 *  published by the Free Software Foundation, either version 3 of the
 *  License, or  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT 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
 *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 **/
 
/**
 * @file Knot_6_2.ih
 * @author Kacper Pluta (\c kacper.pluta@esiee.fr )
 * Laboratoire d'Informatique Gaspard-Monge - LIGM, A3SI, France
 *
 * @date 2014/10/01
 *
 * Implementation of inline methods defined in Knot_6_2.h
 *
 * This file is part of the DGtal library.
 */
 
///////////////////////////////////////////////////////////////////////////////
// IMPLEMENTATION of inline methods.
///////////////////////////////////////////////////////////////////////////////
 
//////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////
 
 
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline methods                                          //
 
template <typename T>
inline
DGtal::Knot_6_2<T>::Knot_6_2 ( long double scale_1, long double scale_2, long double scale_3 ) : scale {scale_1, scale_2, scale_3}
{}
 
template < typename T>
inline
typename DGtal::Knot_6_2<T>::RealPoint DGtal::Knot_6_2<T>::x ( const long double t ) const
{
    return RealPoint (
            scale[0] * 3. / 4. * t * ( -11. + t * t ) * ( -4 + t * t ),
            scale[1] * t * t * ( -12. + t * t ),
            scale[2] * 1. / 200. * t * ( -12. + t * t ) * ( -10. + t * t ) * ( -9 + t * t )
            * ( -3. + t * t ) * ( -1. + t * t )
           );
}
 
template < typename T>
inline
typename DGtal::Knot_6_2<T>::RealPoint DGtal::Knot_6_2<T>::xp ( const long double t ) const
{
    return RealPoint (
           scale[0] * 3. / 4.  * ( 44. - 45. * t * t + 5. * std::pow ( t, 4 ) ),
           scale[1] * 4. * t * ( -6. + t * t ),
           scale[2] * 1. / 200. * ( -3240. +  15822. * t * t - 12225. * std::pow ( t, 4 ) + 3115.
           * std::pow ( t, 6 ) - 315. * std::pow ( t, 8 ) + 11. * std::pow ( t, 10 ) )
           );
}
 
 
template < typename T>
inline
void DGtal::Knot_6_2<T>::selfDisplay ( std::ostream & out ) const
{
    out << "[Knot_6_2]";
}
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline functions and external operators                 //
 
/**
 * Overloads 'operator<<' for displaying objects of class 'Knot_6_2'.
 * @param out the output stream where the object is written.
 * @param object the object of class 'Knot_6_2' to write.
 * @return the output stream after the writing.
 */
template <typename T>
inline
std::ostream&
DGtal::operator<< ( std::ostream & out, const Knot_6_2<T> & object )
{
    object.selfDisplay ( out );
    return out;
}
 
//                                                                           //
///////////////////////////////////////////////////////////////////////////////