1/* Test file for mpfr_cbrt.
2
3Copyright 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
28static void
29special (void)
30{
31  mpfr_t x, y;
32
33  mpfr_init (x);
34  mpfr_init (y);
35
36  /* cbrt(NaN) = NaN */
37  mpfr_set_nan (x);
38  mpfr_cbrt (y, x, MPFR_RNDN);
39  if (!mpfr_nan_p (y))
40    {
41      printf ("Error: cbrt(NaN) <> NaN\n");
42      exit (1);
43    }
44
45  /* cbrt(+Inf) = +Inf */
46  mpfr_set_inf (x, 1);
47  mpfr_cbrt (y, x, MPFR_RNDN);
48  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
49    {
50      printf ("Error: cbrt(+Inf) <> +Inf\n");
51      exit (1);
52    }
53
54  /* cbrt(-Inf) =  -Inf */
55  mpfr_set_inf (x, -1);
56  mpfr_cbrt (y, x, MPFR_RNDN);
57  if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
58    {
59      printf ("Error: cbrt(-Inf) <> -Inf\n");
60      exit (1);
61    }
62
63  /* cbrt(+/-0) =  +/-0 */
64  mpfr_set_ui (x, 0, MPFR_RNDN);
65  mpfr_cbrt (y, x, MPFR_RNDN);
66  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
67    {
68      printf ("Error: cbrt(+0) <> +0\n");
69      exit (1);
70    }
71  mpfr_neg (x, x, MPFR_RNDN);
72  mpfr_cbrt (y, x, MPFR_RNDN);
73  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
74    {
75      printf ("Error: cbrt(-0) <> -0\n");
76      exit (1);
77    }
78
79  mpfr_set_prec (x, 53);
80  mpfr_set_str (x, "8.39005285514734966412e-01", 10, MPFR_RNDN);
81  mpfr_cbrt (x, x, MPFR_RNDN);
82  if (mpfr_cmp_str1 (x, "9.43166207799662426048e-01"))
83    {
84      printf ("Error in crbrt (1)\n");
85      exit (1);
86    }
87
88  mpfr_set_prec (x, 32);
89  mpfr_set_prec (y, 32);
90  mpfr_set_str_binary (x, "0.10000100001100101001001001011001");
91  mpfr_cbrt (x, x, MPFR_RNDN);
92  mpfr_set_str_binary (y, "0.11001101011000100111000111111001");
93  if (mpfr_cmp (x, y))
94    {
95      printf ("Error in cbrt (2)\n");
96      exit (1);
97    }
98
99  mpfr_set_prec (x, 32);
100  mpfr_set_prec (y, 32);
101  mpfr_set_str_binary (x, "-0.1100001110110000010101011001011");
102  mpfr_cbrt (x, x, MPFR_RNDD);
103  mpfr_set_str_binary (y, "-0.11101010000100100101000101011001");
104  if (mpfr_cmp (x, y))
105    {
106      printf ("Error in cbrt (3)\n");
107      exit (1);
108    }
109
110  mpfr_set_prec (x, 82);
111  mpfr_set_prec (y, 27);
112  mpfr_set_str_binary (x, "0.1010001111011101011011000111001011001101100011110110010011011011011010011001100101e-7");
113  mpfr_cbrt (y, x, MPFR_RNDD);
114  mpfr_set_str_binary (x, "0.101011110001110001000100011E-2");
115  if (mpfr_cmp (x, y))
116    {
117      printf ("Error in cbrt (4)\n");
118      exit (1);
119    }
120
121  mpfr_set_prec (x, 204);
122  mpfr_set_prec (y, 38);
123  mpfr_set_str_binary (x, "0.101000000001101000000001100111111011111001110110100001111000100110100111001101100111110001110001011011010110010011100101111001111100001010010100111011101100000011011000101100010000000011000101001010001001E-5");
124  mpfr_cbrt (y, x, MPFR_RNDD);
125  mpfr_set_str_binary (x, "0.10001001111010011011101000010110110010E-1");
126  if (mpfr_cmp (x, y))
127    {
128      printf ("Error in cbrt (5)\n");
129      exit (1);
130    }
131
132  /* Bug (in the compiler?) found on Linux/m68k with gcc 4.0.2 */
133  mpfr_set_prec (x, 5);
134  mpfr_set_prec (y, 5);
135  mpfr_set_str_binary (x, "1.1000E-2");
136  mpfr_cbrt (y, x, MPFR_RNDN);
137  mpfr_set_str_binary (x, "1.0111E-1");
138  if (mpfr_cmp (x, y))
139    {
140      printf ("Error in cbrt (6)\n");
141      exit (1);
142    }
143
144  mpfr_clear (x);
145  mpfr_clear (y);
146}
147
148#define TEST_FUNCTION mpfr_cbrt
149#include "tgeneric.c"
150
151int
152main (void)
153{
154  mpfr_t x;
155  int r;
156  mpfr_prec_t p;
157
158  tests_start_mpfr ();
159
160  special ();
161
162  mpfr_init (x);
163
164  for (p=2; p<100; p++)
165    {
166      mpfr_set_prec (x, p);
167      for (r = 0; r < MPFR_RND_MAX; r++)
168        {
169          mpfr_set_ui (x, 1, MPFR_RNDN);
170          mpfr_cbrt (x, x, (mpfr_rnd_t) r);
171          if (mpfr_cmp_ui (x, 1))
172            {
173              printf ("Error in mpfr_cbrt for x=1, rnd=%s\ngot ",
174                      mpfr_print_rnd_mode ((mpfr_rnd_t) r));
175              mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
176              printf ("\n");
177              exit (1);
178            }
179          mpfr_set_si (x, -1, MPFR_RNDN);
180          mpfr_cbrt (x, x, (mpfr_rnd_t) r);
181          if (mpfr_cmp_si (x, -1))
182            {
183              printf ("Error in mpfr_cbrt for x=-1, rnd=%s\ngot ",
184                      mpfr_print_rnd_mode ((mpfr_rnd_t) r));
185              mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
186              printf ("\n");
187              exit (1);
188            }
189
190          if (p >= 5)
191            {
192              int i;
193              for (i = -12; i <= 12; i++)
194                {
195                  mpfr_set_ui (x, 27, MPFR_RNDN);
196                  mpfr_mul_2si (x, x, 3*i, MPFR_RNDN);
197                  mpfr_cbrt (x, x, MPFR_RNDN);
198                  if (mpfr_cmp_si_2exp (x, 3, i))
199                    {
200                      printf ("Error in mpfr_cbrt for "
201                              "x = 27.0 * 2^(%d), rnd=%s\ngot ",
202                              3*i, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
203                      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
204                      printf ("\ninstead of 3 * 2^(%d)\n", i);
205                      exit (1);
206                    }
207                }
208            }
209        }
210    }
211  mpfr_clear (x);
212
213  test_generic (2, 200, 10);
214
215  data_check ("data/cbrt", mpfr_cbrt, "mpfr_cbrt");
216
217  tests_end_mpfr ();
218  return 0;
219}
220