1 /* tj0 -- test file for the Bessel function of first kind (order 0)
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 #define TEST_FUNCTION mpfr_j0
26 #define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS)
27 #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
28 #include "tgeneric.c"
29
30 /* bug found in revision 14399 with GMP_CHECK_RANDOMIZE=1612721106588971 */
31 static void
32 bug20210208 (void)
33 {
34 mpfr_t x, y;
35 int inex;
36
37 mpfr_init2 (x, 79);
38 mpfr_init2 (y, 1);
39 mpfr_set_str (x, "2.552495117262005805960565e+02", 10, MPFR_RNDN);
40 mpfr_clear_flags ();
41 inex = mpfr_j0 (y, x, MPFR_RNDZ);
42 MPFR_ASSERTN (mpfr_cmp_si_2exp (y, -1, -5) == 0);
43 MPFR_ASSERTN (inex > 0);
44 MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
45 mpfr_clear (x);
46 mpfr_clear (y);
47 }
48
49 int
50 main (int argc, char *argv[])
51 {
52 mpfr_t x, y;
53 int inex;
54
55 tests_start_mpfr ();
56
57 bug20210208 ();
58
59 mpfr_init (x);
60 mpfr_init (y);
61
62 /* special values */
63 mpfr_set_nan (x);
64 mpfr_j0 (y, x, MPFR_RNDN);
65 MPFR_ASSERTN(mpfr_nan_p (y));
66
67 mpfr_set_inf (x, 1); /* +Inf */
68 mpfr_j0 (y, x, MPFR_RNDN);
69 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
70
71 mpfr_set_inf (x, -1); /* -Inf */
72 mpfr_j0 (y, x, MPFR_RNDN);
73 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
74
75 mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
76 mpfr_j0 (y, x, MPFR_RNDN);
77 MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */
78
79 mpfr_set_ui (x, 0, MPFR_RNDN);
80 mpfr_neg (x, x, MPFR_RNDN); /* -0 */
81 mpfr_j0 (y, x, MPFR_RNDN);
82 MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */
83
84 mpfr_set_prec (x, 53);
85 mpfr_set_prec (y, 53);
86
87 mpfr_set_ui (x, 1, MPFR_RNDN);
88 mpfr_j0 (y, x, MPFR_RNDN);
89 mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
90 if (mpfr_cmp (x, y))
91 {
92 printf ("Error in mpfr_j0 for x=1, rnd=MPFR_RNDN\n");
93 printf ("Expected "); mpfr_dump (x);
94 printf ("Got "); mpfr_dump (y);
95 exit (1);
96 }
97
98 mpfr_set_si (x, -1, MPFR_RNDN);
99 mpfr_j0 (y, x, MPFR_RNDN);
100 mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
101 if (mpfr_cmp (x, y))
102 {
103 printf ("Error in mpfr_j0 for x=-1, rnd=MPFR_RNDN\n");
104 printf ("Expected "); mpfr_dump (x);
105 printf ("Got "); mpfr_dump (y);
106 exit (1);
107 }
108
109 /* Bug reported on 2007-07-03 by Sisyphus (assertion failed in r4619) */
110 mpfr_set_si (x, 70000, MPFR_RNDN);
111 mpfr_j0 (y, x, MPFR_RNDN);
112
113 /* Bug reported by Kevin Rauch on 27 Oct 2007 */
114 mpfr_set_prec (x, 7);
115 mpfr_set_prec (y, 7);
116 mpfr_set_si (x, -100, MPFR_RNDN);
117 mpfr_j0 (y, x, MPFR_RNDN);
118 MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_ui_2exp (y, 41, -11) == 0);
119
120 /* Bug reported by Fredrik Johansson on 19 Jan 2016 */
121 mpfr_set_prec (x, 53);
122 mpfr_set_str (x, "0x4.3328p+0", 0, MPFR_RNDN);
123 mpfr_set_prec (y, 2);
124 mpfr_j0 (y, x, MPFR_RNDD);
125 /* y should be -0.5 */
126 MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_si_2exp (y, -1, -1) == 0);
127 mpfr_set_prec (y, 3);
128 mpfr_j0 (y, x, MPFR_RNDD);
129 /* y should be -0.4375 */
130 MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_si_2exp (y, -7, -4) == 0);
131
132 /* Case for which s = 0 in mpfr_jn */
133 mpfr_set_prec (x, 44);
134 mpfr_set_prec (y, 44);
135 mpfr_set_si (x, 2, MPFR_RNDN);
136 mpfr_clear_flags ();
137 inex = mpfr_j0 (y, x, MPFR_RNDN);
138 MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
139 mpfr_set_str (x, "0x.e5439fd9267p-2", 0, MPFR_RNDN);
140 if (! mpfr_equal_p (y, x))
141 {
142 printf ("Error on 2:\n");
143 printf ("Expected ");
144 mpfr_dump (x);
145 printf ("Got ");
146 mpfr_dump (y);
147 exit (1);
148 }
149 if (inex >= 0)
150 {
151 printf ("Bad ternary value on 2: expected negative, got %d\n", inex);
152 exit (1);
153 }
154
155 mpfr_clear (x);
156 mpfr_clear (y);
157
158 test_generic (MPFR_PREC_MIN, 100, 10);
159
160 data_check ("data/j0", mpfr_j0, "mpfr_j0");
161
162 tests_end_mpfr ();
163
164 return 0;
165 }