Knot_7_4.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_7_4.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_7_4.h
 *
 * This file is part of the DGtal library.
 */
 
///////////////////////////////////////////////////////////////////////////////
// IMPLEMENTATION of inline methods.
///////////////////////////////////////////////////////////////////////////////
 
//////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////
 
 
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline methods                                          //
 
template <typename T>
inline
DGtal::Knot_7_4<T>::Knot_7_4 ( 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_7_4<T>::RealPoint DGtal::Knot_7_4<T>::x ( const long double t ) const
{
    return RealPoint (
            scale[0] * 4. / 5. *  t * ( t * t - 6. ) * ( t * t- 12. ),
            scale[1] * t * t * ( t * t - 7. ) * ( t * t - 9. ),
            scale[2] * 1. / 200. * t * ( t * t - 0.2 ) * ( t * t - 1. ) * ( t * t - 5. ) *
            ( t * t - 6.5 ) * ( t * t - 9. ) * ( t * t - 10. )
           );
}
 
template < typename T>
inline
typename DGtal::Knot_7_4<T>::RealPoint DGtal::Knot_7_4<T>::xp ( const long double t ) const
{
    return RealPoint (
            scale[0] * 4. / 5. * ( 72. - 54. * t * t + 5. * std::pow ( t, 4 ) ),
            scale[1] * 2. * t * ( 63. - 32. * t * t + 3. * std::pow ( t, 4 ) ),
            scale[2] * ( 2.925 - 57.6075 * t * t + 124.405 * std::pow ( t, 4) - 72.373 * std::pow ( t, 6 ) +
            17.001 * std::pow ( t, 8 ) - 1.7435 * std::pow ( t, 10 ) + 0.065 *  std::pow ( t, 12 ) )
           );
}
 
 
template < typename T>
inline
void DGtal::Knot_7_4<T>::selfDisplay ( std::ostream & out ) const
{
    out << "[Knot_7_4]";
}
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline functions and external operators                 //
 
/**
 * Overloads 'operator<<' for displaying objects of class 'Knot_7_4'.
 * @param out the output stream where the object is written.
 * @param object the object of class 'Knot_7_4' to write.
 * @return the output stream after the writing.
 */
template <typename T>
inline
std::ostream&
DGtal::operator<< ( std::ostream & out, const Knot_7_4<T> & object )
{
    object.selfDisplay ( out );
    return out;
}
 
//                                                                           //
///////////////////////////////////////////////////////////////////////////////