1 /* Test file for mpfr_asinu.
2
3 Copyright 2021-2023 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_asinu
26 #define ULONG_ARG2
27 #include "tgeneric.c"
28
29 static void
30 check_underflow (void)
31 {
32 mpfr_t x, y;
33 mpfr_exp_t emin = mpfr_get_emin ();
34
35 set_emin (mpfr_get_emin_min ());
36
37 mpfr_init2 (x, MPFR_PREC_MIN);
38 mpfr_init2 (y, MPFR_PREC_MIN);
39 mpfr_set_ui_2exp (x, 1, mpfr_get_emin_min () - 1, MPFR_RNDN);
40 /* asinu(x,1) = asin(x)/(2*pi) will underflow */
41 mpfr_asinu (y, x, 1, MPFR_RNDN);
42 MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) == 0);
43 mpfr_asinu (y, x, 1, MPFR_RNDZ);
44 MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) == 0);
45 mpfr_asinu (y, x, 1, MPFR_RNDU);
46 MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 1, mpfr_get_emin_min () - 1) == 0);
47 mpfr_clear (x);
48 mpfr_clear (y);
49
50 set_emin (emin);
51 }
52
53 int
54 main (void)
55 {
56 mpfr_t x, y;
57 int r, inex;
58 unsigned long u;
59
60 tests_start_mpfr ();
61
62 check_underflow ();
63
64 mpfr_init (x);
65 mpfr_init (y);
66
67 /* check singular cases */
68 MPFR_SET_NAN(x);
69 mpfr_asinu (y, x, 1, MPFR_RNDN);
70 if (mpfr_nan_p (y) == 0)
71 {
72 printf ("Error: asinu (NaN, 1) != NaN\n");
73 exit (1);
74 }
75
76 mpfr_set_inf (x, 1);
77 mpfr_asinu (y, x, 1, MPFR_RNDN);
78 if (mpfr_nan_p (y) == 0)
79 {
80 printf ("Error: asinu (+Inf, 1) != NaN\n");
81 exit (1);
82 }
83
84 mpfr_set_inf (x, -1);
85 mpfr_asinu (y, x, 1, MPFR_RNDN);
86 if (mpfr_nan_p (y) == 0)
87 {
88 printf ("Error: asinu (-Inf, 1) != NaN\n");
89 exit (1);
90 }
91
92 /* asinu (+0,u) = +0 */
93 mpfr_set_ui (x, 0, MPFR_RNDN);
94 mpfr_asinu (y, x, 1, MPFR_RNDN);
95 if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
96 {
97 printf ("Error: asinu(+0,1) != +0\n");
98 exit (1);
99 }
100
101 /* asinu (-0,u) = -0 */
102 mpfr_set_ui (x, 0, MPFR_RNDN);
103 mpfr_neg (x, x, MPFR_RNDN);
104 mpfr_asinu (y, x, 1, MPFR_RNDN);
105 if (MPFR_NOTZERO (y) || MPFR_IS_POS (y))
106 {
107 printf ("Error: asinu(-0,1) != -0\n");
108 exit (1);
109 }
110
111 /* tests for |x| > 1 */
112 mpfr_set_ui (x, 2, MPFR_RNDN);
113 mpfr_asinu (y, x, 1, MPFR_RNDN);
114 if (mpfr_nan_p (y) == 0)
115 {
116 printf ("Error: asinu (2, 1) != NaN\n");
117 exit (1);
118 }
119
120 mpfr_set_si (x, -2, MPFR_RNDN);
121 mpfr_asinu (y, x, 1, MPFR_RNDN);
122 if (mpfr_nan_p (y) == 0)
123 {
124 printf ("Error: asinu (-2, 1) != NaN\n");
125 exit (1);
126 }
127
128 mpfr_set_ui (x, 2, MPFR_RNDN);
129 mpfr_asinu (y, x, 0, MPFR_RNDN);
130 if (mpfr_nan_p (y) == 0)
131 {
132 printf ("Error: asinu (2, 0) != NaN\n");
133 exit (1);
134 }
135
136 mpfr_set_si (x, -2, MPFR_RNDN);
137 mpfr_asinu (y, x, 0, MPFR_RNDN);
138 if (mpfr_nan_p (y) == 0)
139 {
140 printf ("Error: asinu (-2, 0) != NaN\n");
141 exit (1);
142 }
143
144 /* asinu (1,u) = u/4 */
145 RND_LOOP (r)
146 {
147 mpfr_set_si (x, 1, MPFR_RNDN); /* exact */
148 mpfr_asinu (y, x, 17, (mpfr_rnd_t) r);
149 mpfr_set_ui_2exp (x, 17, -2, (mpfr_rnd_t) r);
150 if (!mpfr_equal_p (x, y))
151 {
152 printf ("Error: asinu(1,17) != 17/4 for rnd=%s\n",
153 mpfr_print_rnd_mode ((mpfr_rnd_t) r));
154 exit (1);
155 }
156 }
157
158 /* asinu (-1,u) = -u/4 */
159 RND_LOOP (r)
160 {
161 mpfr_set_si (x, -1, MPFR_RNDN); /* exact */
162 mpfr_asinu (y, x, 17, (mpfr_rnd_t) r);
163 mpfr_set_si_2exp (x, -17, -2, (mpfr_rnd_t) r);
164 if (!mpfr_equal_p (x, y))
165 {
166 printf ("Error: asinu(-1,17) != -17/4 for rnd=%s\n",
167 mpfr_print_rnd_mode ((mpfr_rnd_t) r));
168 exit (1);
169 }
170 }
171
172 /* asinu (1/2,u) = u/12 */
173 for (u = 1; u < 100; u++)
174 RND_LOOP (r)
175 {
176 mpfr_set_ui_2exp (x, 1, -1, MPFR_RNDN); /* exact */
177 mpfr_asinu (y, x, u, (mpfr_rnd_t) r);
178 inex = mpfr_set_ui (x, u, MPFR_RNDN);
179 MPFR_ASSERTN(inex == 0);
180 inex = mpfr_div_ui (x, x, 12, (mpfr_rnd_t) r);
181 if ((r != MPFR_RNDF || inex == 0) && !mpfr_equal_p (x, y))
182 {
183 printf ("Error: asinu(1/2,u) != u/12 for u=%lu and rnd=%s\n",
184 u, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
185 printf ("got: "); mpfr_dump (y);
186 exit (1);
187 }
188 }
189
190 /* asinu (-1/2,u) = -u/12 */
191 for (u = 1; u < 100; u++)
192 RND_LOOP (r)
193 {
194 mpfr_set_si_2exp (x, -1, -1, MPFR_RNDN); /* exact */
195 mpfr_asinu (y, x, u, (mpfr_rnd_t) r);
196 inex = mpfr_set_ui (x, u, MPFR_RNDN);
197 MPFR_ASSERTN(inex == 0);
198 inex = mpfr_div_si (x, x, -12, (mpfr_rnd_t) r);
199 if ((r != MPFR_RNDF || inex == 0) && !mpfr_equal_p (x, y))
200 {
201 printf ("Error: asinu(-1/2,u) != -u/12 for u=%lu and rnd=%s\n",
202 u, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
203 printf ("expected: "); mpfr_dump (x);
204 printf ("got: "); mpfr_dump (y);
205 exit (1);
206 }
207 }
208
209 test_generic (MPFR_PREC_MIN, 100, 100);
210
211 mpfr_clear (x);
212 mpfr_clear (y);
213
214 tests_end_mpfr ();
215 return 0;
216 }