1/* Test file for mpfr_atanh.
2
3Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc.
4Contributed by the Arenaire and Cacao 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_atanh
29#define TEST_RANDOM_EMAX 7
30#include "tgeneric.c"
31
32static void
33special (void)
34{
35  mpfr_t x, y, z;
36  int i;
37
38  mpfr_init (x);
39  mpfr_init (y);
40
41  MPFR_SET_INF(x);
42  mpfr_set_ui (y, 0, MPFR_RNDN);
43  mpfr_atanh (x, y, MPFR_RNDN);
44  if (MPFR_IS_INF(x) || MPFR_IS_NAN(x) )
45    {
46      printf ("Inf flag not clears in atanh!\n");
47      exit (1);
48    }
49
50  MPFR_SET_NAN(x);
51  mpfr_atanh (x, y, MPFR_RNDN);
52  if (MPFR_IS_NAN(x) || MPFR_IS_INF(x))
53    {
54      printf ("NAN flag not clears in atanh!\n");
55      exit (1);
56    }
57
58  /* atanh(+/-x) = NaN if x > 1 */
59  for (i = 3; i <= 6; i++)
60    {
61      mpfr_set_si (x, i, MPFR_RNDN);
62      mpfr_div_2ui (x, x, 1, MPFR_RNDN);
63      mpfr_atanh (y, x, MPFR_RNDN);
64      if (!mpfr_nan_p (y))
65        {
66          printf ("Error: mpfr_atanh(%d/2) <> NaN\n", i);
67          exit (1);
68        }
69      mpfr_neg (x, x, MPFR_RNDN);
70      mpfr_atanh (y, x, MPFR_RNDN);
71      if (!mpfr_nan_p (y))
72        {
73          printf ("Error: mpfr_atanh(-%d/2) <> NaN\n", i);
74          exit (1);
75        }
76    }
77
78  /* atanh(+0) = +0, atanh(-0) = -0 */
79  mpfr_set_ui (x, 0, MPFR_RNDN);
80  mpfr_atanh (y, x, MPFR_RNDN);
81  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
82    {
83      printf ("Error: mpfr_atanh(+0) <> +0\n");
84      exit (1);
85    }
86  mpfr_neg (x, x, MPFR_RNDN);
87  mpfr_atanh (y, x, MPFR_RNDN);
88  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
89    {
90      printf ("Error: mpfr_atanh(-0) <> -0\n");
91      exit (1);
92    }
93
94  MPFR_SET_NAN(x);
95  mpfr_atanh (y, x, MPFR_RNDN);
96  if (!mpfr_nan_p (y))
97    {
98      printf ("Error: mpfr_atanh(NaN) <> NaN\n");
99      exit (1);
100    }
101
102  mpfr_set_inf (x, 1);
103  mpfr_atanh (y, x, MPFR_RNDN);
104  if (!mpfr_nan_p (y))
105    {
106      printf ("Error: mpfr_atanh(+Inf) <> NaN\n");
107      mpfr_print_binary (y); printf ("\n");
108      exit (1);
109    }
110
111  mpfr_set_inf (x, -1);
112  mpfr_atanh (y, x, MPFR_RNDN);
113  if (!mpfr_nan_p (y))
114    {
115      printf ("Error: mpfr_atanh(-Inf) <> NaN\n");
116      exit (1);
117    }
118
119  mpfr_set_ui (x, 1, MPFR_RNDN);
120  mpfr_atanh (y, x, MPFR_RNDN);
121  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
122    {
123      printf ("Error: mpfr_atanh(1) <> +Inf\n");
124      exit (1);
125    }
126
127  mpfr_set_si (x, -1, MPFR_RNDN);
128  mpfr_atanh (y, x, MPFR_RNDN);
129  if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
130    {
131      printf ("Error: mpfr_atanh(-1) <> -Inf\n");
132      exit (1);
133    }
134
135  mpfr_set_prec (x, 32);
136  mpfr_set_prec (y, 32);
137
138  mpfr_set_str_binary (x, "0.10001000001001011000100001E-6");
139  mpfr_atanh (x, x, MPFR_RNDN);
140  mpfr_set_str_binary (y, "0.10001000001001100101010110100001E-6");
141  if (mpfr_cmp (x, y))
142    {
143      printf ("Error: mpfr_atanh (1)\n");
144      exit (1);
145    }
146
147  mpfr_set_str_binary (x, "-0.1101011110111100111010011001011E-1");
148  mpfr_atanh (x, x, MPFR_RNDN);
149  mpfr_set_str_binary (y, "-0.11100110000100001111101100010111E-1");
150  if (mpfr_cmp (x, y))
151    {
152      printf ("Error: mpfr_atanh (2)\n");
153      exit (1);
154    }
155
156  mpfr_set_prec (x, 33);
157  mpfr_set_prec (y, 43);
158  mpfr_set_str_binary (x, "0.111001101100000110011001010000101");
159  mpfr_atanh (y, x, MPFR_RNDZ);
160  mpfr_init2 (z, 43);
161  mpfr_set_str_binary (z, "1.01111010110001101001000000101101011110101");
162  if (mpfr_cmp (y, z))
163    {
164      printf ("Error: mpfr_atanh (3)\n");
165      mpfr_print_binary (y); printf ("\n");
166      exit (1);
167    }
168
169  mpfr_clear (x);
170  mpfr_clear (y);
171  mpfr_clear (z);
172}
173
174int
175main (int argc, char *argv[])
176{
177  tests_start_mpfr ();
178
179  special ();
180
181  test_generic (2, 100, 25);
182
183  data_check ("data/atanh", mpfr_atanh, "mpfr_atanh");
184  bad_cases (mpfr_atanh, mpfr_tanh, "mpfr_atanh", 256, -128, 9,
185             4, 128, 800, 100);
186
187  tests_end_mpfr ();
188  return 0;
189}
190