1/* Test file for mpfr_acos.
2
3Copyright 2001-2023 Free Software Foundation, Inc.
4Contributed by the AriC and Caramba projects, INRIA.
5
6This file is part of the GNU MPFR Library.
7
8The GNU MPFR Library is free software; you can redistribute it and/or modify
9it under the terms of the GNU Lesser General Public License as published by
10the Free Software Foundation; either version 3 of the License, or (at your
11option) any later version.
12
13The GNU MPFR Library is distributed in the hope that it will be useful, but
14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16License for more details.
17
18You should have received a copy of the GNU Lesser General Public License
19along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
20https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
2151 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
28static void
29special (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
70static void
71special_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
98int
99main (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}
185