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1/* Implementation of the BESSEL_JN and BESSEL_YN transformational
2 function using a recurrence algorithm.
3 Copyright 2010 Free Software Foundation, Inc.
4 Contributed by Tobias Burnus <burnus@net-b.de>
5
6This file is part of the GNU Fortran runtime library (libgfortran).
7
8Libgfortran is free software; you can redistribute it and/or
9modify it under the terms of the GNU General Public
10License as published by the Free Software Foundation; either
11version 3 of the License, or (at your option) any later version.
12
13Libgfortran is distributed in the hope that it will be useful,
14but WITHOUT ANY WARRANTY; without even the implied warranty of
15MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16GNU General Public License for more details.
17
18Under Section 7 of GPL version 3, you are granted additional
19permissions described in the GCC Runtime Library Exception, version
203.1, as published by the Free Software Foundation.
21
22You should have received a copy of the GNU General Public License and
23a copy of the GCC Runtime Library Exception along with this program;
24see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
25<http://www.gnu.org/licenses/>. */
26
27#include "libgfortran.h"
28#include <stdlib.h>
29#include <assert.h>
30
31
08fd13d4
FXC
32
33#define MATHFUNC(funcname) funcname ## l
34
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35#if defined (HAVE_GFC_REAL_10)
36
37
38
39#if defined (HAVE_JNL)
40extern void bessel_jn_r10 (gfc_array_r10 * const restrict ret, int n1,
41 int n2, GFC_REAL_10 x);
42export_proto(bessel_jn_r10);
43
44void
45bessel_jn_r10 (gfc_array_r10 * const restrict ret, int n1, int n2, GFC_REAL_10 x)
46{
47 int i;
48 index_type stride;
49
50 GFC_REAL_10 last1, last2, x2rev;
51
52 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
53
54 if (ret->data == NULL)
55 {
56 size_t size = n2 < n1 ? 0 : n2-n1+1;
57 GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
58 ret->data = internal_malloc_size (sizeof (GFC_REAL_10) * size);
59 ret->offset = 0;
60 }
61
62 if (unlikely (n2 < n1))
63 return;
64
65 if (unlikely (compile_options.bounds_check)
66 && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
67 runtime_error("Incorrect extent in return value of BESSEL_JN "
68 "(%ld vs. %ld)", (long int) n2-n1,
69 GFC_DESCRIPTOR_EXTENT(ret,0));
70
71 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
72
08fd13d4 73 if (unlikely (x == 0))
47b99694 74 {
08fd13d4 75 ret->data[0] = 1;
47b99694 76 for (i = 1; i <= n2-n1; i++)
08fd13d4 77 ret->data[i*stride] = 0;
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78 return;
79 }
80
81 ret->data = ret->data;
08fd13d4 82 last1 = MATHFUNC(jn) (n2, x);
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83 ret->data[(n2-n1)*stride] = last1;
84
85 if (n1 == n2)
86 return;
87
08fd13d4 88 last2 = MATHFUNC(jn) (n2 - 1, x);
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89 ret->data[(n2-n1-1)*stride] = last2;
90
91 if (n1 + 1 == n2)
92 return;
93
08fd13d4 94 x2rev = GFC_REAL_10_LITERAL(2.)/x;
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95
96 for (i = n2-n1-2; i >= 0; i--)
97 {
98 ret->data[i*stride] = x2rev * (i+1+n1) * last2 - last1;
99 last1 = last2;
100 last2 = ret->data[i*stride];
101 }
102}
103
104#endif
105
106#if defined (HAVE_YNL)
107extern void bessel_yn_r10 (gfc_array_r10 * const restrict ret,
108 int n1, int n2, GFC_REAL_10 x);
109export_proto(bessel_yn_r10);
110
111void
112bessel_yn_r10 (gfc_array_r10 * const restrict ret, int n1, int n2,
113 GFC_REAL_10 x)
114{
115 int i;
116 index_type stride;
117
118 GFC_REAL_10 last1, last2, x2rev;
119
120 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
121
122 if (ret->data == NULL)
123 {
124 size_t size = n2 < n1 ? 0 : n2-n1+1;
125 GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
126 ret->data = internal_malloc_size (sizeof (GFC_REAL_10) * size);
127 ret->offset = 0;
128 }
129
130 if (unlikely (n2 < n1))
131 return;
132
133 if (unlikely (compile_options.bounds_check)
134 && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
135 runtime_error("Incorrect extent in return value of BESSEL_JN "
136 "(%ld vs. %ld)", (long int) n2-n1,
137 GFC_DESCRIPTOR_EXTENT(ret,0));
138
139 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
140
08fd13d4 141 if (unlikely (x == 0))
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142 {
143 for (i = 0; i <= n2-n1; i++)
144#if defined(GFC_REAL_10_INFINITY)
145 ret->data[i*stride] = -GFC_REAL_10_INFINITY;
146#else
147 ret->data[i*stride] = -GFC_REAL_10_HUGE;
148#endif
149 return;
150 }
151
152 ret->data = ret->data;
08fd13d4 153 last1 = MATHFUNC(yn) (n1, x);
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154 ret->data[0] = last1;
155
156 if (n1 == n2)
157 return;
158
08fd13d4 159 last2 = MATHFUNC(yn) (n1 + 1, x);
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160 ret->data[1*stride] = last2;
161
162 if (n1 + 1 == n2)
163 return;
164
08fd13d4 165 x2rev = GFC_REAL_10_LITERAL(2.)/x;
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166
167 for (i = 2; i <= n1+n2; i++)
168 {
169#if defined(GFC_REAL_10_INFINITY)
170 if (unlikely (last2 == -GFC_REAL_10_INFINITY))
171 {
172 ret->data[i*stride] = -GFC_REAL_10_INFINITY;
173 }
174 else
175#endif
176 {
177 ret->data[i*stride] = x2rev * (i-1+n1) * last2 - last1;
178 last1 = last2;
179 last2 = ret->data[i*stride];
180 }
181 }
182}
183#endif
184
185#endif
186