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
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
|
/* gsl_math.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004, 2007 Gerard Jungman, Brian Gough
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#ifndef __GSL_MATH_H__
#define __GSL_MATH_H__
#include <math.h>
#include <gsl/gsl_sys.h>
#include <gsl/gsl_inline.h>
#include <gsl/gsl_machine.h>
#include <gsl/gsl_precision.h>
#include <gsl/gsl_nan.h>
#include <gsl/gsl_pow_int.h>
#include <gsl/gsl_minmax.h>
#ifndef M_E
#define M_E 2.71828182845904523536028747135 /* e */
#endif
#ifndef M_LOG2E
#define M_LOG2E 1.44269504088896340735992468100 /* log_2 (e) */
#endif
#ifndef M_LOG10E
#define M_LOG10E 0.43429448190325182765112891892 /* log_10 (e) */
#endif
#ifndef M_SQRT2
#define M_SQRT2 1.41421356237309504880168872421 /* sqrt(2) */
#endif
#ifndef M_SQRT1_2
#define M_SQRT1_2 0.70710678118654752440084436210 /* sqrt(1/2) */
#endif
#ifndef M_SQRT3
#define M_SQRT3 1.73205080756887729352744634151 /* sqrt(3) */
#endif
#ifndef M_PI
#define M_PI 3.14159265358979323846264338328 /* pi */
#endif
#ifndef M_PI_2
#define M_PI_2 1.57079632679489661923132169164 /* pi/2 */
#endif
#ifndef M_PI_4
#define M_PI_4 0.78539816339744830961566084582 /* pi/4 */
#endif
#ifndef M_SQRTPI
#define M_SQRTPI 1.77245385090551602729816748334 /* sqrt(pi) */
#endif
#ifndef M_2_SQRTPI
#define M_2_SQRTPI 1.12837916709551257389615890312 /* 2/sqrt(pi) */
#endif
#ifndef M_1_PI
#define M_1_PI 0.31830988618379067153776752675 /* 1/pi */
#endif
#ifndef M_2_PI
#define M_2_PI 0.63661977236758134307553505349 /* 2/pi */
#endif
#ifndef M_LN10
#define M_LN10 2.30258509299404568401799145468 /* ln(10) */
#endif
#ifndef M_LN2
#define M_LN2 0.69314718055994530941723212146 /* ln(2) */
#endif
#ifndef M_LNPI
#define M_LNPI 1.14472988584940017414342735135 /* ln(pi) */
#endif
#ifndef M_EULER
#define M_EULER 0.57721566490153286060651209008 /* Euler constant */
#endif
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
/* other needlessly compulsive abstractions */
#define GSL_IS_ODD(n) ((n) & 1)
#define GSL_IS_EVEN(n) (!(GSL_IS_ODD(n)))
#define GSL_SIGN(x) ((x) >= 0.0 ? 1 : -1)
/* Return nonzero if x is a real number, i.e. non NaN or infinite. */
#define GSL_IS_REAL(x) (gsl_finite(x))
/* Definition of an arbitrary function with parameters */
struct gsl_function_struct
{
double (* function) (double x, void * params);
void * params;
};
typedef struct gsl_function_struct gsl_function ;
#define GSL_FN_EVAL(F,x) (*((F)->function))(x,(F)->params)
/* Definition of an arbitrary function returning two values, r1, r2 */
struct gsl_function_fdf_struct
{
double (* f) (double x, void * params);
double (* df) (double x, void * params);
void (* fdf) (double x, void * params, double * f, double * df);
void * params;
};
typedef struct gsl_function_fdf_struct gsl_function_fdf ;
#define GSL_FN_FDF_EVAL_F(FDF,x) (*((FDF)->f))(x,(FDF)->params)
#define GSL_FN_FDF_EVAL_DF(FDF,x) (*((FDF)->df))(x,(FDF)->params)
#define GSL_FN_FDF_EVAL_F_DF(FDF,x,y,dy) (*((FDF)->fdf))(x,(FDF)->params,(y),(dy))
/* Definition of an arbitrary vector-valued function with parameters */
struct gsl_function_vec_struct
{
int (* function) (double x, double y[], void * params);
void * params;
};
typedef struct gsl_function_vec_struct gsl_function_vec ;
#define GSL_FN_VEC_EVAL(F,x,y) (*((F)->function))(x,y,(F)->params)
__END_DECLS
#endif /* __GSL_MATH_H__ */
|