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
|
/* tj1 -- test file for the Bessel function of first kind (order 1)
Copyright 2007-2025 Free Software Foundation, Inc.
Contributed by the Pascaline and Caramba projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The GNU MPFR Library 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER.
If not, see <https://www.gnu.org/licenses/>. */
#include "mpfr-test.h"
#define TEST_FUNCTION mpfr_j1
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS)
#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
#include "tgeneric.c"
/* test for small input, where j1(x) = x/2 - x^3/16 + ... */
static void
test_small (void)
{
mpfr_t x, y;
int inex, sign;
mpfr_exp_t e, emin;
mpfr_init2 (x, 10);
mpfr_init2 (y, 9);
emin = mpfr_get_emin ();
for (e = -4; e >= -30; e--)
{
if (e == -30)
{
e = mpfr_get_emin_min () - 1;
set_emin (e + 1);
}
for (sign = -1; sign <= 1; sign += 2)
{
mpfr_set_si_2exp (x, sign, e, MPFR_RNDN);
mpfr_nexttoinf (x);
inex = mpfr_j1 (y, x, MPFR_RNDN);
if (e >= -29)
{
/* since |x| is just above 2^e, |j1(x)| is just above 2^(e-1),
thus y should be 2^(e-1) and the inexact flag should be
of opposite sign of x */
MPFR_ASSERTN(mpfr_cmp_si_2exp0 (y, sign, e - 1) == 0);
MPFR_ASSERTN(VSIGN (inex) * sign < 0);
}
else
{
/* here |y| should be 0.5*2^emin and the inexact flag should
have the sign of x */
MPFR_ASSERTN(mpfr_cmp_si_2exp0 (y, sign, e) == 0);
MPFR_ASSERTN(VSIGN (inex) * sign > 0);
}
}
}
set_emin (emin);
mpfr_clear (x);
mpfr_clear (y);
}
/* a test that fails with GMP_CHECK_RANDOMIZE=1613146232984428
on revision 14429 */
static void
bug20210215 (void)
{
mpfr_t x, y;
int inex;
mpfr_init2 (x, 221);
mpfr_init2 (y, 1);
mpfr_set_str (x, "1.6484611511696130037307738844228498447763863563070374544054791168614e+01", 10, MPFR_RNDN);
mpfr_clear_flags ();
inex = mpfr_j1 (y, x, MPFR_RNDZ);
MPFR_ASSERTN (mpfr_cmp_si_2exp0 (y, -1, -9) == 0);
MPFR_ASSERTN (inex > 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
tests_start_mpfr ();
bug20210215 ();
test_small ();
mpfr_init (x);
mpfr_init (y);
/* special values */
mpfr_set_nan (x);
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_inf (x, -1); /* -Inf */
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j1(+0)=+0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN); /* -0 */
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j1(-0)=-0 */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_j1 (y, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.0111000010100111001001111011101001011100001100011011");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_j1 for x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
test_generic (MPFR_PREC_MIN, 100, 10);
data_check ("data/j1", mpfr_j1, "mpfr_j1");
tests_end_mpfr ();
return 0;
}
|
