DGtal  1.0.0
Knot_3_2.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_2.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_2.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_3_2<T>::Knot_3_2 ( 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_3_2<T>::RealPoint DGtal::Knot_3_2<T>::x ( const long double t ) const
49 {
50  return RealPoint ( scale[0] * ( std::cos ( 2 * t ) * ( 3. + std::cos ( 3. * t ) ) ),
51  scale[1] * ( std::sin ( 2. * t ) * ( 3. + std::cos ( 3. * t ) ) ), scale[2] * std::sin ( 3. * t ) );
52 }
53 
54 template < typename T>
55 inline
56 typename DGtal::Knot_3_2<T>::RealPoint DGtal::Knot_3_2<T>::xp ( const long double t ) const
57 {
58  return RealPoint (
59  -2. * scale[0] * ( 3. + std::cos ( 3. * t ) ) * std::sin( 2. * t ) - 3. * scale[0] * std::cos ( 2. * t ) * std::sin ( 3. * t),
60  2. * scale[1] * std::cos (2. * t ) * ( 3. + std::cos( 3. * t ) ) - 3. * scale[1] * std::sin ( 2. * t ) * std::sin ( 3. * t),
61  3. * scale[2] * std::cos ( 3. * t ) );
62 }
63 
64 
65 template < typename T>
66 inline
67 double DGtal::Knot_3_2<T>::getPeriod()
68 {
69  return PERIOD;
70 }
71 
72 template < typename T>
73 inline
74 void DGtal::Knot_3_2<T>::selfDisplay ( std::ostream & out ) const
75 {
76  out << "[Knot_3_2]";
77 }
78 
79 ///////////////////////////////////////////////////////////////////////////////
80 // Implementation of inline functions and external operators //
81 
82 /**
83  * Overloads 'operator<<' for displaying objects of class 'Knot_3_2'.
84  * @param out the output stream where the object is written.
85  * @param object the object of class 'Knot_3_2' to write.
86  * @return the output stream after the writing.
87  */
88 template <typename T>
89 inline
90 std::ostream&
91 DGtal::operator<< ( std::ostream & out, const Knot_3_2<T> & object )
92 {
93  object.selfDisplay ( out );
94  return out;
95 }
96 
97 // //
98 ///////////////////////////////////////////////////////////////////////////////
99 
100