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
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
|
/* interpolation/gsl_interp.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 Gerard Jungman
*
* 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 2 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.
*/
/* Author: G. Jungman
*/
#ifndef __GSL_INTERP_H__
#define __GSL_INTERP_H__
#include <stdlib.h>
#include <gsl/gsl_types.h>
#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
/* evaluation accelerator */
typedef struct {
size_t cache; /* cache of index */
size_t miss_count; /* keep statistics */
size_t hit_count;
}
gsl_interp_accel;
/* interpolation object type */
typedef struct {
const char * name;
unsigned int min_size;
void * (*alloc) (size_t size);
int (*init) (void *, const double xa[], const double ya[], size_t size);
int (*eval) (const void *, const double xa[], const double ya[], size_t size, double x, gsl_interp_accel *, double * y);
int (*eval_deriv) (const void *, const double xa[], const double ya[], size_t size, double x, gsl_interp_accel *, double * y_p);
int (*eval_deriv2) (const void *, const double xa[], const double ya[], size_t size, double x, gsl_interp_accel *, double * y_pp);
int (*eval_integ) (const void *, const double xa[], const double ya[], size_t size, gsl_interp_accel *, double a, double b, double * result);
void (*free) (void *);
} gsl_interp_type;
/* general interpolation object */
typedef struct {
const gsl_interp_type * type;
double xmin;
double xmax;
size_t size;
void * state;
} gsl_interp;
/* available types */
GSL_VAR const gsl_interp_type * gsl_interp_linear;
GSL_VAR const gsl_interp_type * gsl_interp_polynomial;
GSL_VAR const gsl_interp_type * gsl_interp_cspline;
GSL_VAR const gsl_interp_type * gsl_interp_cspline_periodic;
GSL_VAR const gsl_interp_type * gsl_interp_akima;
GSL_VAR const gsl_interp_type * gsl_interp_akima_periodic;
gsl_interp_accel *
gsl_interp_accel_alloc(void);
size_t
gsl_interp_accel_find(gsl_interp_accel * a, const double x_array[], size_t size, double x);
int
gsl_interp_accel_reset (gsl_interp_accel * a);
void
gsl_interp_accel_free(gsl_interp_accel * a);
gsl_interp *
gsl_interp_alloc(const gsl_interp_type * T, size_t n);
int
gsl_interp_init(gsl_interp * obj, const double xa[], const double ya[], size_t size);
const char * gsl_interp_name(const gsl_interp * interp);
unsigned int gsl_interp_min_size(const gsl_interp * interp);
int
gsl_interp_eval_e(const gsl_interp * obj,
const double xa[], const double ya[], double x,
gsl_interp_accel * a, double * y);
double
gsl_interp_eval(const gsl_interp * obj,
const double xa[], const double ya[], double x,
gsl_interp_accel * a);
int
gsl_interp_eval_deriv_e(const gsl_interp * obj,
const double xa[], const double ya[], double x,
gsl_interp_accel * a,
double * d);
double
gsl_interp_eval_deriv(const gsl_interp * obj,
const double xa[], const double ya[], double x,
gsl_interp_accel * a);
int
gsl_interp_eval_deriv2_e(const gsl_interp * obj,
const double xa[], const double ya[], double x,
gsl_interp_accel * a,
double * d2);
double
gsl_interp_eval_deriv2(const gsl_interp * obj,
const double xa[], const double ya[], double x,
gsl_interp_accel * a);
int
gsl_interp_eval_integ_e(const gsl_interp * obj,
const double xa[], const double ya[],
double a, double b,
gsl_interp_accel * acc,
double * result);
double
gsl_interp_eval_integ(const gsl_interp * obj,
const double xa[], const double ya[],
double a, double b,
gsl_interp_accel * acc);
void
gsl_interp_free(gsl_interp * interp);
size_t gsl_interp_bsearch(const double x_array[], double x,
size_t index_lo, size_t index_hi);
#ifdef HAVE_INLINE
extern inline size_t
gsl_interp_bsearch(const double x_array[], double x,
size_t index_lo, size_t index_hi);
extern inline size_t
gsl_interp_bsearch(const double x_array[], double x,
size_t index_lo, size_t index_hi)
{
size_t ilo = index_lo;
size_t ihi = index_hi;
while(ihi > ilo + 1) {
size_t i = (ihi + ilo)/2;
if(x_array[i] > x)
ihi = i;
else
ilo = i;
}
return ilo;
}
#endif
#ifdef HAVE_INLINE
extern inline size_t
gsl_interp_accel_find(gsl_interp_accel * a, const double xa[], size_t len, double x)
{
size_t x_index = a->cache;
if(x < xa[x_index]) {
a->miss_count++;
a->cache = gsl_interp_bsearch(xa, x, 0, x_index);
}
else if(x > xa[x_index + 1]) {
a->miss_count++;
a->cache = gsl_interp_bsearch(xa, x, x_index, len-1);
}
else {
a->hit_count++;
}
return a->cache;
}
#endif /* HAVE_INLINE */
__END_DECLS
#endif /* __GSL_INTERP_H__ */
|
