1/* Test file for mpfr_acos.
2
3Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
4Contributed by the AriC and Caramel 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
20http://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 <stdio.h>
24#include <stdlib.h>
25
26#include "mpfr-test.h"
27
28#define TEST_FUNCTION mpfr_acos
29#include "tgeneric.c"
30
31static void
32special (void)
33{
34  mpfr_t x, y;
35  int inex1, inex2;
36
37  mpfr_init2 (x, 32);
38  mpfr_init2 (y, 32);
39
40  mpfr_set_str_binary (x, "0.10001000001001011000100001E-6");
41  mpfr_acos (y, x, MPFR_RNDN);
42  mpfr_set_str_binary (x, "1.10001111111111110001110110001");
43  if (mpfr_cmp (x, y))
44    {
45      printf ("Error in mpfr_acos (1)\n");
46      exit (1);
47    }
48
49  mpfr_set_str_binary (x, "-0.01101011110111100111010011001011");
50  mpfr_acos (y, x, MPFR_RNDZ);
51  mpfr_set_str_binary (x, "10.0000000101111000011101000101");
52  if (mpfr_cmp (x, y))
53    {
54      printf ("Error in mpfr_acos (2)\n");
55      mpfr_print_binary (y); printf ("\n");
56      exit (1);
57    }
58
59  mpfr_set_prec (x, 2);
60  mpfr_set_ui (x, 0, MPFR_RNDN);
61  inex1 = mpfr_acos (x, x, MPFR_RNDN); /* Pi/2 */
62  inex2 = mpfr_const_pi (x, MPFR_RNDN);
63  if (inex1 != inex2)
64    {
65      printf ("Error in mpfr_acos (3) for prec=2\n");
66      exit (1);
67    }
68
69  mpfr_clear (y);
70  mpfr_clear (x);
71}
72
73static void
74special_overflow (void)
75{
76  mpfr_t x, y;
77  mpfr_exp_t emin, emax;
78
79  emin = mpfr_get_emin ();
80  emax = mpfr_get_emax ();
81
82  set_emin (-125);
83  set_emax (128);
84  mpfr_init2 (x, 24);
85  mpfr_init2 (y, 48);
86  mpfr_set_str_binary (x, "0.101100100000000000110100E0");
87  mpfr_acos (y, x, MPFR_RNDN);
88  if (mpfr_cmp_str (y, "0.110011010100101111000100111010111011010000001001E0",
89                    2, MPFR_RNDN))
90    {
91      printf("Special Overflow error.\n");
92      mpfr_dump (y);
93      exit (1);
94    }
95  mpfr_clear (y);
96  mpfr_clear (x);
97  set_emin (emin);
98  set_emax (emax);
99}
100
101int
102main (void)
103{
104  mpfr_t x, y;
105  int r;
106
107  tests_start_mpfr ();
108
109  special_overflow ();
110  special ();
111
112  mpfr_init (x);
113  mpfr_init (y);
114
115  MPFR_SET_NAN(x);
116  mpfr_acos (y, x, MPFR_RNDN);
117  if (mpfr_nan_p(y) == 0)
118    {
119      printf ("Error: acos(NaN) != NaN\n");
120      exit (1);
121    }
122
123  mpfr_set_ui (x, 2, MPFR_RNDN);
124  mpfr_acos (y, x, MPFR_RNDN);
125  if (mpfr_nan_p(y) == 0)
126    {
127      printf ("Error: acos(2) != NaN\n");
128      exit (1);
129    }
130
131  mpfr_set_si (x, -2, MPFR_RNDN);
132  mpfr_acos (y, x, MPFR_RNDN);
133  if (mpfr_nan_p(y) == 0)
134    {
135      printf ("Error: acos(-2) != NaN\n");
136      exit (1);
137    }
138
139  /* acos (1) = 0 */
140  mpfr_set_ui (x, 1, MPFR_RNDN);
141  mpfr_acos (y, x, MPFR_RNDN);
142  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
143    {
144      printf ("Error: acos(1) != +0.0\n");
145      exit (1);
146    }
147
148  /* acos (0) = Pi/2 */
149  for (r = 0; r < MPFR_RND_MAX; r++)
150    {
151      mpfr_set_ui (x, 0, MPFR_RNDN); /* exact */
152      mpfr_acos (y, x, (mpfr_rnd_t) r);
153      mpfr_const_pi (x, (mpfr_rnd_t) r);
154      mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */
155      if (mpfr_cmp (x, y))
156        {
157          printf ("Error: acos(0) != Pi/2 for rnd=%s\n",
158                  mpfr_print_rnd_mode ((mpfr_rnd_t) r));
159          exit (1);
160        }
161    }
162
163  /* acos (-1) = Pi */
164  for (r = 0; r < MPFR_RND_MAX; r++)
165    {
166      mpfr_set_si (x, -1, MPFR_RNDN); /* exact */
167      mpfr_acos (y, x, (mpfr_rnd_t) r);
168      mpfr_const_pi (x, (mpfr_rnd_t) r);
169      if (mpfr_cmp (x, y))
170        {
171          printf ("Error: acos(1) != Pi for rnd=%s\n",
172                  mpfr_print_rnd_mode ((mpfr_rnd_t) r));
173          exit (1);
174        }
175    }
176
177  test_generic (2, 100, 7);
178
179  mpfr_clear (x);
180  mpfr_clear (y);
181
182  data_check ("data/acos", mpfr_acos, "mpfr_acos");
183  bad_cases (mpfr_acos, mpfr_cos, "mpfr_acos", 0, -40, 2, 4, 128, 800, 30);
184
185  tests_end_mpfr ();
186  return 0;
187}
188