]> git.ipfire.org Git - thirdparty/gcc.git/blame - libgfortran/generated/bessel_r8.c
2019-06-13 Richard Biener <rguenther@suse.de>
[thirdparty/gcc.git] / libgfortran / generated / bessel_r8.c
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faa9fea4 1/* Implementation of the BESSEL_JN and BESSEL_YN transformational
2 function using a recurrence algorithm.
fbd26352 3 Copyright (C) 2010-2019 Free Software Foundation, Inc.
faa9fea4 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"
faa9fea4 28
29
9dc59fdf 30
31#define MATHFUNC(funcname) funcname
32
faa9fea4 33#if defined (HAVE_GFC_REAL_8)
34
35
36
37#if defined (HAVE_JN)
38extern void bessel_jn_r8 (gfc_array_r8 * const restrict ret, int n1,
39 int n2, GFC_REAL_8 x);
40export_proto(bessel_jn_r8);
41
42void
43bessel_jn_r8 (gfc_array_r8 * const restrict ret, int n1, int n2, GFC_REAL_8 x)
44{
45 int i;
46 index_type stride;
47
48 GFC_REAL_8 last1, last2, x2rev;
49
50 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
51
553877d9 52 if (ret->base_addr == NULL)
faa9fea4 53 {
54 size_t size = n2 < n1 ? 0 : n2-n1+1;
55 GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
af1e9051 56 ret->base_addr = xmallocarray (size, sizeof (GFC_REAL_8));
faa9fea4 57 ret->offset = 0;
58 }
59
60 if (unlikely (n2 < n1))
61 return;
62
63 if (unlikely (compile_options.bounds_check)
64 && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
65 runtime_error("Incorrect extent in return value of BESSEL_JN "
66 "(%ld vs. %ld)", (long int) n2-n1,
96138327 67 (long int) GFC_DESCRIPTOR_EXTENT(ret,0));
faa9fea4 68
69 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
70
9dc59fdf 71 if (unlikely (x == 0))
faa9fea4 72 {
553877d9 73 ret->base_addr[0] = 1;
faa9fea4 74 for (i = 1; i <= n2-n1; i++)
553877d9 75 ret->base_addr[i*stride] = 0;
faa9fea4 76 return;
77 }
78
9dc59fdf 79 last1 = MATHFUNC(jn) (n2, x);
553877d9 80 ret->base_addr[(n2-n1)*stride] = last1;
faa9fea4 81
82 if (n1 == n2)
83 return;
84
9dc59fdf 85 last2 = MATHFUNC(jn) (n2 - 1, x);
553877d9 86 ret->base_addr[(n2-n1-1)*stride] = last2;
faa9fea4 87
88 if (n1 + 1 == n2)
89 return;
90
9dc59fdf 91 x2rev = GFC_REAL_8_LITERAL(2.)/x;
faa9fea4 92
93 for (i = n2-n1-2; i >= 0; i--)
94 {
553877d9 95 ret->base_addr[i*stride] = x2rev * (i+1+n1) * last2 - last1;
faa9fea4 96 last1 = last2;
553877d9 97 last2 = ret->base_addr[i*stride];
faa9fea4 98 }
99}
100
101#endif
102
103#if defined (HAVE_YN)
104extern void bessel_yn_r8 (gfc_array_r8 * const restrict ret,
105 int n1, int n2, GFC_REAL_8 x);
106export_proto(bessel_yn_r8);
107
108void
109bessel_yn_r8 (gfc_array_r8 * const restrict ret, int n1, int n2,
110 GFC_REAL_8 x)
111{
112 int i;
113 index_type stride;
114
115 GFC_REAL_8 last1, last2, x2rev;
116
117 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
118
553877d9 119 if (ret->base_addr == NULL)
faa9fea4 120 {
121 size_t size = n2 < n1 ? 0 : n2-n1+1;
122 GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
af1e9051 123 ret->base_addr = xmallocarray (size, sizeof (GFC_REAL_8));
faa9fea4 124 ret->offset = 0;
125 }
126
127 if (unlikely (n2 < n1))
128 return;
129
130 if (unlikely (compile_options.bounds_check)
131 && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
132 runtime_error("Incorrect extent in return value of BESSEL_JN "
133 "(%ld vs. %ld)", (long int) n2-n1,
96138327 134 (long int) GFC_DESCRIPTOR_EXTENT(ret,0));
faa9fea4 135
136 stride = GFC_DESCRIPTOR_STRIDE(ret,0);
137
9dc59fdf 138 if (unlikely (x == 0))
faa9fea4 139 {
140 for (i = 0; i <= n2-n1; i++)
141#if defined(GFC_REAL_8_INFINITY)
553877d9 142 ret->base_addr[i*stride] = -GFC_REAL_8_INFINITY;
faa9fea4 143#else
553877d9 144 ret->base_addr[i*stride] = -GFC_REAL_8_HUGE;
faa9fea4 145#endif
146 return;
147 }
148
9dc59fdf 149 last1 = MATHFUNC(yn) (n1, x);
553877d9 150 ret->base_addr[0] = last1;
faa9fea4 151
152 if (n1 == n2)
153 return;
154
9dc59fdf 155 last2 = MATHFUNC(yn) (n1 + 1, x);
553877d9 156 ret->base_addr[1*stride] = last2;
faa9fea4 157
158 if (n1 + 1 == n2)
159 return;
160
9dc59fdf 161 x2rev = GFC_REAL_8_LITERAL(2.)/x;
faa9fea4 162
9872e76f 163 for (i = 2; i <= n2 - n1; i++)
faa9fea4 164 {
165#if defined(GFC_REAL_8_INFINITY)
166 if (unlikely (last2 == -GFC_REAL_8_INFINITY))
167 {
553877d9 168 ret->base_addr[i*stride] = -GFC_REAL_8_INFINITY;
faa9fea4 169 }
170 else
171#endif
172 {
553877d9 173 ret->base_addr[i*stride] = x2rev * (i-1+n1) * last2 - last1;
faa9fea4 174 last1 = last2;
553877d9 175 last2 = ret->base_addr[i*stride];
faa9fea4 176 }
177 }
178}
179#endif
180
181#endif
182