blob: 724e55c1d9294c288cbc076c6b408a456bc25e2a (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
|
// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#ifndef EIGEN_STEM_FUNCTION
#define EIGEN_STEM_FUNCTION
namespace Eigen {
/** \ingroup MatrixFunctions_Module
* \brief Stem functions corresponding to standard mathematical functions.
*/
template <typename Scalar>
class StdStemFunctions
{
public:
/** \brief The exponential function (and its derivatives). */
static Scalar exp(Scalar x, int)
{
return std::exp(x);
}
/** \brief Cosine (and its derivatives). */
static Scalar cos(Scalar x, int n)
{
Scalar res;
switch (n % 4) {
case 0:
res = std::cos(x);
break;
case 1:
res = -std::sin(x);
break;
case 2:
res = -std::cos(x);
break;
case 3:
res = std::sin(x);
break;
}
return res;
}
/** \brief Sine (and its derivatives). */
static Scalar sin(Scalar x, int n)
{
Scalar res;
switch (n % 4) {
case 0:
res = std::sin(x);
break;
case 1:
res = std::cos(x);
break;
case 2:
res = -std::sin(x);
break;
case 3:
res = -std::cos(x);
break;
}
return res;
}
/** \brief Hyperbolic cosine (and its derivatives). */
static Scalar cosh(Scalar x, int n)
{
Scalar res;
switch (n % 2) {
case 0:
res = std::cosh(x);
break;
case 1:
res = std::sinh(x);
break;
}
return res;
}
/** \brief Hyperbolic sine (and its derivatives). */
static Scalar sinh(Scalar x, int n)
{
Scalar res;
switch (n % 2) {
case 0:
res = std::sinh(x);
break;
case 1:
res = std::cosh(x);
break;
}
return res;
}
}; // end of class StdStemFunctions
} // end namespace Eigen
#endif // EIGEN_STEM_FUNCTION
|
