1 /* tyn -- test file for the Bessel function of second kind
2
3 Copyright 2007-2023 Free Software Foundation, Inc.
4 Contributed by the AriC and Caramba projects, INRIA.
5
6 This file is part of the GNU MPFR Library.
7
8 The GNU MPFR Library is free software; you can redistribute it and/or modify
9 it under the terms of the GNU Lesser General Public License as published by
10 the Free Software Foundation; either version 3 of the License, or (at your
11 option) any later version.
12
13 The GNU MPFR Library is distributed in the hope that it will be useful, but
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
16 License for more details.
17
18 You should have received a copy of the GNU Lesser General Public License
19 along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
20 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
21 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
22
23 #include "mpfr-test.h"
24
25 int
26 main (int argc, char *argv[])
27 {
28 mpfr_t x, y;
29 long n;
30 mpfr_prec_t prec = 53;
31
32 tests_start_mpfr ();
33
34 mpfr_init (x);
35 mpfr_init (y);
36
37 if (argc != 1)
38 {
39 if (argc != 4)
40 {
41 printf ("Usage: tyn n x prec\n");
42 exit (1);
43 }
44 n = atoi (argv[1]);
45 prec = atoi (argv[3]);
46 mpfr_set_prec (x, prec);
47 mpfr_set_prec (y, prec);
48 mpfr_set_str (x, argv[2], 10, MPFR_RNDN);
49 mpfr_yn (y, n, x, MPFR_RNDN);
50 printf ("Y(%ld,", n);
51 mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
52 printf (")=");
53 mpfr_out_str (stdout, 10, 0, y, MPFR_RNDN);
54 printf ("\n");
55 goto end;
56 }
57
58 /* special values */
59 mpfr_set_nan (x);
60 mpfr_yn (y, 17, x, MPFR_RNDN);
61 MPFR_ASSERTN(mpfr_nan_p (y));
62
63 mpfr_set_inf (x, 1); /* +Inf */
64 mpfr_yn (y, 17, x, MPFR_RNDN);
65 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
66
67 mpfr_set_inf (x, -1); /* -Inf */
68 mpfr_yn (y, 17, x, MPFR_RNDN);
69 MPFR_ASSERTN(mpfr_nan_p (y));
70
71 mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
72 mpfr_yn (y, 0, x, MPFR_RNDN);
73 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(+0)=-Inf */
74 mpfr_yn (y, 17, x, MPFR_RNDN);
75 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(+0)=-Inf */
76 mpfr_yn (y, -17, x, MPFR_RNDN);
77 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,+0)=+Inf */
78 mpfr_yn (y, -42, x, MPFR_RNDN);
79 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,+0)=-Inf */
80
81 mpfr_set_ui (x, 0, MPFR_RNDN);
82 mpfr_neg (x, x, MPFR_RNDN); /* -0 */
83 mpfr_yn (y, 0, x, MPFR_RNDN);
84 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(-0)=-Inf */
85 mpfr_yn (y, 17, x, MPFR_RNDN);
86 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(-0)=-Inf */
87 mpfr_yn (y, -17, x, MPFR_RNDN);
88 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,-0)=+Inf */
89 mpfr_yn (y, -42, x, MPFR_RNDN);
90 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,-0)=-Inf */
91
92 mpfr_set_prec (x, 53);
93 mpfr_set_prec (y, 53);
94
95 mpfr_set_ui (x, 1, MPFR_RNDN);
96 mpfr_yn (y, 0, x, MPFR_RNDN);
97 mpfr_set_str_binary (x, "0.00010110100110000000001000100110111100110101100011011111");
98 if (mpfr_cmp (x, y))
99 {
100 printf ("Error in mpfr_yn for n=0, x=1, rnd=MPFR_RNDN\n");
101 printf ("Expected "); mpfr_dump (x);
102 printf ("Got "); mpfr_dump (y);
103 exit (1);
104 }
105
106 mpfr_set_ui (x, 1, MPFR_RNDN);
107 mpfr_yn (y, 1, x, MPFR_RNDN);
108 mpfr_set_str_binary (x, "-0.110001111111110110010000001111101011001101011100101");
109 if (mpfr_cmp (x, y))
110 {
111 printf ("Error in mpfr_yn for n=1, x=1, rnd=MPFR_RNDN\n");
112 printf ("Expected "); mpfr_dump (x);
113 printf ("Got "); mpfr_dump (y);
114 exit (1);
115 }
116
117 mpfr_set_ui (x, 1, MPFR_RNDN);
118 mpfr_yn (y, -1, x, MPFR_RNDN);
119 mpfr_set_str_binary (x, "0.110001111111110110010000001111101011001101011100101");
120 if (mpfr_cmp (x, y))
121 {
122 printf ("Error in mpfr_yn for n=-1, x=1, rnd=MPFR_RNDN\n");
123 printf ("Expected "); mpfr_dump (x);
124 printf ("Got "); mpfr_dump (y);
125 exit (1);
126 }
127
128 mpfr_set_ui (x, 1, MPFR_RNDN);
129 mpfr_yn (y, 2, x, MPFR_RNDN);
130 mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001");
131 if (mpfr_cmp (x, y))
132 {
133 printf ("Error in mpfr_yn for n=2, x=1, rnd=MPFR_RNDN\n");
134 printf ("Expected "); mpfr_dump (x);
135 printf ("Got "); mpfr_dump (y);
136 exit (1);
137 }
138
139 mpfr_set_ui (x, 1, MPFR_RNDN);
140 mpfr_yn (y, -2, x, MPFR_RNDN);
141 mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001");
142 if (mpfr_cmp (x, y))
143 {
144 printf ("Error in mpfr_yn for n=-2, x=1, rnd=MPFR_RNDN\n");
145 printf ("Expected "); mpfr_dump (x);
146 printf ("Got "); mpfr_dump (y);
147 exit (1);
148 }
149
150 mpfr_set_ui (x, 1, MPFR_RNDN);
151 mpfr_yn (y, 17, x, MPFR_RNDN);
152 mpfr_set_str_binary (x, "-0.11000100111000100010101101011000110011001101100001011E60");
153 if (mpfr_cmp (x, y))
154 {
155 printf ("Error in mpfr_yn for n=17, x=1, rnd=MPFR_RNDN\n");
156 printf ("Expected "); mpfr_dump (x);
157 printf ("Got "); mpfr_dump (y);
158 exit (1);
159 }
160
161 mpfr_set_ui (x, 1, MPFR_RNDN);
162 mpfr_yn (y, -17, x, MPFR_RNDN);
163 mpfr_set_str_binary (x, "0.11000100111000100010101101011000110011001101100001011E60");
164 if (mpfr_cmp (x, y))
165 {
166 printf ("Error in mpfr_yn for n=-17, x=1, rnd=MPFR_RNDN\n");
167 printf ("Expected "); mpfr_dump (x);
168 printf ("Got "); mpfr_dump (y);
169 exit (1);
170 }
171
172 mpfr_set_ui (x, 17, MPFR_RNDN);
173 mpfr_yn (y, 1, x, MPFR_RNDN);
174 mpfr_set_str_binary (x, "0.00101010110011011111001100000001101011011001111111");
175 if (mpfr_cmp (x, y))
176 {
177 printf ("Error in mpfr_yn for n=1, x=17, rnd=MPFR_RNDN\n");
178 printf ("Expected "); mpfr_dump (x);
179 printf ("Got "); mpfr_dump (y);
180 exit (1);
181 }
182
183 end:
184 mpfr_clear (x);
185 mpfr_clear (y);
186
187 tests_end_mpfr ();
188 return 0;
189 }