Knot_5_1.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_5_1.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_5_1.h
 *
 * This file is part of the DGtal library.
 */
 
///////////////////////////////////////////////////////////////////////////////
// IMPLEMENTATION of inline methods.
///////////////////////////////////////////////////////////////////////////////
 
//////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////
 
 
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline methods                                          //
 
template <typename T>
inline
DGtal::Knot_5_1<T>::Knot_5_1 ( 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_5_1<T>::RealPoint DGtal::Knot_5_1<T>::x ( const long double t ) const
{
    return RealPoint (
           scale[0] * 1. / 5. * ( std::pow ( t, 5 ) - 36. * std::pow ( t, 3 ) + 260. * t),
           scale[1] * 1. / 2. * ( std::pow ( t, 4 ) - 24. * t * t ),
           scale[2] * 1. / 100. * ( std::pow ( t, 7 ) - 31. * std::pow ( t, 5 ) + 164. * std::pow ( t, 3 ) + 560. * t )
           );
}
 
template < typename T>
inline
typename DGtal::Knot_5_1<T>::RealPoint DGtal::Knot_5_1<T>::xp ( const long double t ) const
{
    return RealPoint (
            scale[0] * ( 52. - ( 108. * t *t ) / 5. + std::pow ( t, 4 ) ), scale[1] * 2. * t * ( -12. + t * t ),
            scale[2] * 1. / 100. * ( 560. + 492. * t * t -155. * std::pow ( t, 4 ) + 7. * std::pow ( t, 6 ) ) );
}
 
 
template < typename T>
inline
void DGtal::Knot_5_1<T>::selfDisplay ( std::ostream & out ) const
{
    out << "[Knot_5_1]";
}
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline functions and external operators                 //
 
/**
 * Overloads 'operator<<' for displaying objects of class 'Knot_5_1'.
 * @param out the output stream where the object is written.
 * @param object the object of class 'Knot_5_1' to write.
 * @return the output stream after the writing.
 */
template <typename T>
inline
std::ostream&
DGtal::operator<< ( std::ostream & out, const Knot_5_1<T> & object )
{
    object.selfDisplay ( out );
    return out;
}
 
//                                                                           //
///////////////////////////////////////////////////////////////////////////////