DGtal 1.4.2
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Knot_3_1.ih
1/**
2 * This program is free software: you can redistribute it and/or modify
3 * it under the terms of the GNU Lesser General Public License as
4 * published by the Free Software Foundation, either version 3 of the
5 * License, or (at your option) any later version.
6 *
7 * This program is distributed in the hope that it will be useful,
8 * but WITHOUT ANY WARRANTY; without even the implied warranty of
9 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
10 * GNU General Public License for more details.
11 *
12 * You should have received a copy of the GNU General Public License
13 * along with this program. If not, see <http://www.gnu.org/licenses/>.
14 *
15 **/
16
17/**
18 * @file Knot_3_1.ih
19 * @author Kacper Pluta (\c kacper.pluta@esiee.fr )
20 * Laboratoire d'Informatique Gaspard-Monge - LIGM, A3SI, France
21 *
22 * @date 2014/10/01
23 *
24 * Implementation of inline methods defined in Knot_3_1.h
25 *
26 * This file is part of the DGtal library.
27 */
28
29///////////////////////////////////////////////////////////////////////////////
30// IMPLEMENTATION of inline methods.
31///////////////////////////////////////////////////////////////////////////////
32
33//////////////////////////////////////////////////////////////////////////////
34//////////////////////////////////////////////////////////////////////////////
35
36
37
38///////////////////////////////////////////////////////////////////////////////
39// Implementation of inline methods //
40
41template <typename T>
42inline
43DGtal::Knot_3_1<T>::Knot_3_1 ( long double scale_1, long double scale_2, long double scale_3 ) : scale {scale_1, scale_2, scale_3}
44{}
45
46template < typename T>
47inline
48typename DGtal::Knot_3_1<T>::RealPoint DGtal::Knot_3_1<T>::x ( const long double t ) const
49{
50 return RealPoint ( scale[0] * (std::pow ( t, 3 ) - 3. * t), scale[1] * ( std::pow ( t , 4 ) - 4. * t * t ),
51 scale[2] * ( 1. / 5. * std::pow ( t, 5 ) - 2. * t ) );
52}
53
54template < typename T>
55inline
56typename DGtal::Knot_3_1<T>::RealPoint DGtal::Knot_3_1<T>::xp ( const long double t ) const
57{
58 return RealPoint ( scale[0] * (-3. + 3. * t * t), scale[1] * (-8. * t + 4 * std::pow( t, 3 ) ),
59 scale[2] * ( -2. + std::pow ( t, 4 ) ) );
60}
61
62
63template < typename T>
64inline
65void DGtal::Knot_3_1<T>::selfDisplay ( std::ostream & out ) const
66{
67 out << "[Knot_3_1]";
68}
69
70///////////////////////////////////////////////////////////////////////////////
71// Implementation of inline functions and external operators //
72
73/**
74 * Overloads 'operator<<' for displaying objects of class 'Knot_3_1'.
75 * @param out the output stream where the object is written.
76 * @param object the object of class 'Knot_3_1' to write.
77 * @return the output stream after the writing.
78 */
79template <typename T>
80inline
81std::ostream&
82DGtal::operator<< ( std::ostream & out,
83 const Knot_3_1<T> & object )
84{
85 object.selfDisplay ( out );
86 return out;
87}
88
89// //
90///////////////////////////////////////////////////////////////////////////////
91
92