DGtal  1.0.0
Knot_5_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_5_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_5_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 
41 template <typename T>
42 inline
43 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}
44 {}
45 
46 template < typename T>
47 inline
48 typename DGtal::Knot_5_1<T>::RealPoint DGtal::Knot_5_1<T>::x ( const long double t ) const
49 {
50  return RealPoint (
51  scale[0] * 1. / 5. * ( std::pow ( t, 5 ) - 36. * std::pow ( t, 3 ) + 260. * t),
52  scale[1] * 1. / 2. * ( std::pow ( t, 4 ) - 24. * t * t ),
53  scale[2] * 1. / 100. * ( std::pow ( t, 7 ) - 31. * std::pow ( t, 5 ) + 164. * std::pow ( t, 3 ) + 560. * t )
54  );
55 }
56 
57 template < typename T>
58 inline
59 typename DGtal::Knot_5_1<T>::RealPoint DGtal::Knot_5_1<T>::xp ( const long double t ) const
60 {
61  return RealPoint (
62  scale[0] * ( 52. - ( 108. * t *t ) / 5. + std::pow ( t, 4 ) ), scale[1] * 2. * t * ( -12. + t * t ),
63  scale[2] * 1. / 100. * ( 560. + 492. * t * t -155. * std::pow ( t, 4 ) + 7. * std::pow ( t, 6 ) ) );
64 }
65 
66 
67 template < typename T>
68 inline
69 void DGtal::Knot_5_1<T>::selfDisplay ( std::ostream & out ) const
70 {
71  out << "[Knot_5_1]";
72 }
73 
74 ///////////////////////////////////////////////////////////////////////////////
75 // Implementation of inline functions and external operators //
76 
77 /**
78  * Overloads 'operator<<' for displaying objects of class 'Knot_5_1'.
79  * @param out the output stream where the object is written.
80  * @param object the object of class 'Knot_5_1' to write.
81  * @return the output stream after the writing.
82  */
83 template <typename T>
84 inline
85 std::ostream&
86 DGtal::operator<< ( std::ostream & out, const Knot_5_1<T> & object )
87 {
88  object.selfDisplay ( out );
89  return out;
90 }
91 
92 // //
93 ///////////////////////////////////////////////////////////////////////////////
94 
95