1 /* Test file for mpfr_acos.
2
3 Copyright 2001-2023 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_acos
26 #include "tgeneric.c"
27
28 static void
29 special (void)
30 {
31 mpfr_t x, y;
32 int inex1, inex2;
33
34 mpfr_init2 (x, 32);
35 mpfr_init2 (y, 32);
36
37 mpfr_set_str_binary (x, "0.10001000001001011000100001E-6");
38 mpfr_acos (y, x, MPFR_RNDN);
39 mpfr_set_str_binary (x, "1.10001111111111110001110110001");
40 if (mpfr_cmp (x, y))
41 {
42 printf ("Error in mpfr_acos (1)\n");
43 exit (1);
44 }
45
46 mpfr_set_str_binary (x, "-0.01101011110111100111010011001011");
47 mpfr_acos (y, x, MPFR_RNDZ);
48 mpfr_set_str_binary (x, "10.0000000101111000011101000101");
49 if (mpfr_cmp (x, y))
50 {
51 printf ("Error in mpfr_acos (2)\n");
52 mpfr_dump (y);
53 exit (1);
54 }
55
56 mpfr_set_prec (x, 2);
57 mpfr_set_ui (x, 0, MPFR_RNDN);
58 inex1 = mpfr_acos (x, x, MPFR_RNDN); /* Pi/2 */
59 inex2 = mpfr_const_pi (x, MPFR_RNDN);
60 if (inex1 != inex2)
61 {
62 printf ("Error in mpfr_acos (3) for prec=2\n");
63 exit (1);
64 }
65
66 mpfr_clear (y);
67 mpfr_clear (x);
68 }
69
70 static void
71 special_overflow (void)
72 {
73 mpfr_t x, y;
74 mpfr_exp_t emin, emax;
75
76 emin = mpfr_get_emin ();
77 emax = mpfr_get_emax ();
78
79 set_emin (-125);
80 set_emax (128);
81 mpfr_init2 (x, 24);
82 mpfr_init2 (y, 48);
83 mpfr_set_str_binary (x, "0.101100100000000000110100E0");
84 mpfr_acos (y, x, MPFR_RNDN);
85 if (mpfr_cmp_str (y, "0.110011010100101111000100111010111011010000001001E0",
86 2, MPFR_RNDN))
87 {
88 printf("Special Overflow error.\n");
89 mpfr_dump (y);
90 exit (1);
91 }
92 mpfr_clear (y);
93 mpfr_clear (x);
94 set_emin (emin);
95 set_emax (emax);
96 }
97
98 int
99 main (void)
100 {
101 mpfr_t x, y;
102 int r;
103
104 tests_start_mpfr ();
105
106 special_overflow ();
107 special ();
108
109 mpfr_init (x);
110 mpfr_init (y);
111
112 MPFR_SET_NAN(x);
113 mpfr_acos (y, x, MPFR_RNDN);
114 if (mpfr_nan_p(y) == 0)
115 {
116 printf ("Error: acos(NaN) != NaN\n");
117 exit (1);
118 }
119
120 mpfr_set_ui (x, 2, MPFR_RNDN);
121 mpfr_acos (y, x, MPFR_RNDN);
122 if (mpfr_nan_p(y) == 0)
123 {
124 printf ("Error: acos(2) != NaN\n");
125 exit (1);
126 }
127
128 mpfr_set_si (x, -2, MPFR_RNDN);
129 mpfr_acos (y, x, MPFR_RNDN);
130 if (mpfr_nan_p(y) == 0)
131 {
132 printf ("Error: acos(-2) != NaN\n");
133 exit (1);
134 }
135
136 /* acos (1) = 0 */
137 mpfr_set_ui (x, 1, MPFR_RNDN);
138 mpfr_acos (y, x, MPFR_RNDN);
139 if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
140 {
141 printf ("Error: acos(1) != +0.0\n");
142 exit (1);
143 }
144
145 /* acos (0) = Pi/2 */
146 RND_LOOP (r)
147 {
148 mpfr_set_ui (x, 0, MPFR_RNDN); /* exact */
149 mpfr_acos (y, x, (mpfr_rnd_t) r);
150 mpfr_const_pi (x, (mpfr_rnd_t) r);
151 mpfr_div_2ui (x, x, 1, MPFR_RNDN); /* exact */
152 if (mpfr_cmp (x, y))
153 {
154 printf ("Error: acos(0) != Pi/2 for rnd=%s\n",
155 mpfr_print_rnd_mode ((mpfr_rnd_t) r));
156 exit (1);
157 }
158 }
159
160 /* acos (-1) = Pi */
161 RND_LOOP (r)
162 {
163 mpfr_set_si (x, -1, MPFR_RNDN); /* exact */
164 mpfr_acos (y, x, (mpfr_rnd_t) r);
165 mpfr_const_pi (x, (mpfr_rnd_t) r);
166 if (mpfr_cmp (x, y))
167 {
168 printf ("Error: acos(1) != Pi for rnd=%s\n",
169 mpfr_print_rnd_mode ((mpfr_rnd_t) r));
170 exit (1);
171 }
172 }
173
174 test_generic (MPFR_PREC_MIN, 100, 7);
175
176 mpfr_clear (x);
177 mpfr_clear (y);
178
179 data_check ("data/acos", mpfr_acos, "mpfr_acos");
180 bad_cases (mpfr_acos, mpfr_cos, "mpfr_acos", 0, -40, 2, 4, 128, 800, 30);
181
182 tests_end_mpfr ();
183 return 0;
184 }