DGtal  1.0.0
Knot_7_4.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_7_4.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_7_4.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_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}
44 {}
45 
46 template < typename T>
47 inline
48 typename DGtal::Knot_7_4<T>::RealPoint DGtal::Knot_7_4<T>::x ( const long double t ) const
49 {
50  return RealPoint (
51  scale[0] * 4. / 5. * t * ( t * t - 6. ) * ( t * t- 12. ),
52  scale[1] * t * t * ( t * t - 7. ) * ( t * t - 9. ),
53  scale[2] * 1. / 200. * t * ( t * t - 0.2 ) * ( t * t - 1. ) * ( t * t - 5. ) *
54  ( t * t - 6.5 ) * ( t * t - 9. ) * ( t * t - 10. )
55  );
56 }
57 
58 template < typename T>
59 inline
60 typename DGtal::Knot_7_4<T>::RealPoint DGtal::Knot_7_4<T>::xp ( const long double t ) const
61 {
62  return RealPoint (
63  scale[0] * 4. / 5. * ( 72. - 54. * t * t + 5. * std::pow ( t, 4 ) ),
64  scale[1] * 2. * t * ( 63. - 32. * t * t + 3. * std::pow ( t, 4 ) ),
65  scale[2] * ( 2.925 - 57.6075 * t * t + 124.405 * std::pow ( t, 4) - 72.373 * std::pow ( t, 6 ) +
66  17.001 * std::pow ( t, 8 ) - 1.7435 * std::pow ( t, 10 ) + 0.065 * std::pow ( t, 12 ) )
67  );
68 }
69 
70 
71 template < typename T>
72 inline
73 void DGtal::Knot_7_4<T>::selfDisplay ( std::ostream & out ) const
74 {
75  out << "[Knot_7_4]";
76 }
77 
78 ///////////////////////////////////////////////////////////////////////////////
79 // Implementation of inline functions and external operators //
80 
81 /**
82  * Overloads 'operator<<' for displaying objects of class 'Knot_7_4'.
83  * @param out the output stream where the object is written.
84  * @param object the object of class 'Knot_7_4' to write.
85  * @return the output stream after the writing.
86  */
87 template <typename T>
88 inline
89 std::ostream&
90 DGtal::operator<< ( std::ostream & out, const Knot_7_4<T> & object )
91 {
92  object.selfDisplay ( out );
93  return out;
94 }
95 
96 // //
97 ///////////////////////////////////////////////////////////////////////////////
98 
99