1/* Test file for mpfr_exp10.
2
3Copyright 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#include <limits.h>
26
27#include "mpfr-test.h"
28
29#define TEST_FUNCTION mpfr_exp10
30#define TEST_RANDOM_EMIN -36
31#define TEST_RANDOM_EMAX 36
32#include "tgeneric.c"
33
34static void
35special_overflow (void)
36{
37  mpfr_t x, y;
38  int inex;
39  mpfr_exp_t emin, emax;
40
41  emin = mpfr_get_emin ();
42  emax = mpfr_get_emax ();
43
44  set_emin (-125);
45  set_emax (128);
46
47  mpfr_init2 (x, 24);
48  mpfr_init2 (y, 24);
49
50  mpfr_set_str_binary (x, "0.101100100000000000110100E15");
51  inex = mpfr_exp10 (y, x, MPFR_RNDN);
52  if (!mpfr_inf_p (y) || inex <= 0)
53    {
54      printf ("Overflow error.\n");
55      mpfr_dump (y);
56      printf ("inex = %d\n", inex);
57      exit (1);
58    }
59
60  mpfr_clear (y);
61  mpfr_clear (x);
62  set_emin (emin);
63  set_emax (emax);
64}
65
66static void
67emax_m_eps (void)
68{
69  if (mpfr_get_emax () <= LONG_MAX)
70    {
71      mpfr_t x, y;
72      int inex, ov;
73
74      mpfr_init2 (x, sizeof(mpfr_exp_t) * CHAR_BIT * 4);
75      mpfr_init2 (y, 8);
76      mpfr_set_si (x, mpfr_get_emax (), MPFR_RNDN);
77
78      mpfr_clear_flags ();
79      inex = mpfr_exp10 (y, x, MPFR_RNDN);
80      ov = mpfr_overflow_p ();
81      if (!ov || !mpfr_inf_p (y) || inex <= 0)
82        {
83          printf ("Overflow error for x = emax, MPFR_RNDN.\n");
84          mpfr_dump (y);
85          printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
86          exit (1);
87        }
88
89      mpfr_clear (x);
90      mpfr_clear (y);
91    }
92}
93
94static void
95exp_range (void)
96{
97  mpfr_t x;
98  mpfr_exp_t emin;
99
100  emin = mpfr_get_emin ();
101  set_emin (3);
102  mpfr_init2 (x, 16);
103  mpfr_set_ui (x, 4, MPFR_RNDN);
104  mpfr_exp10 (x, x, MPFR_RNDN);
105  set_emin (emin);
106  if (mpfr_nan_p (x) || mpfr_cmp_ui (x, 10000) != 0)
107    {
108      printf ("Error in mpfr_exp10 for x = 4, with emin = 3\n");
109      printf ("Expected 10000, got ");
110      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
111      printf ("\n");
112      exit (1);
113    }
114  mpfr_clear (x);
115}
116
117static void
118overfl_exp10_0 (void)
119{
120  mpfr_t x, y;
121  int emax, i, inex, rnd, err = 0;
122  mpfr_exp_t old_emax;
123
124  old_emax = mpfr_get_emax ();
125
126  mpfr_init2 (x, 8);
127  mpfr_init2 (y, 8);
128
129  for (emax = -1; emax <= 0; emax++)
130    {
131      mpfr_set_ui_2exp (y, 1, emax, MPFR_RNDN);
132      mpfr_nextbelow (y);
133      set_emax (emax);  /* 1 is not representable. */
134      /* and if emax < 0, 1 - eps is not representable either. */
135      for (i = -1; i <= 1; i++)
136        RND_LOOP (rnd)
137          {
138            mpfr_set_si_2exp (x, i, -512 * ABS (i), MPFR_RNDN);
139            mpfr_clear_flags ();
140            inex = mpfr_exp10 (x, x, (mpfr_rnd_t) rnd);
141            if ((i >= 0 || emax < 0 || rnd == MPFR_RNDN || rnd == MPFR_RNDU) &&
142                ! mpfr_overflow_p ())
143              {
144                printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
145                        "  The overflow flag is not set.\n",
146                        i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
147                err = 1;
148              }
149            if (rnd == MPFR_RNDZ || rnd == MPFR_RNDD)
150              {
151                if (inex >= 0)
152                  {
153                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
154                            "  The inexact value must be negative.\n",
155                            i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
156                    err = 1;
157                  }
158                if (! mpfr_equal_p (x, y))
159                  {
160                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
161                            "  Got ", i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
162                    mpfr_print_binary (x);
163                    printf (" instead of 0.11111111E%d.\n", emax);
164                    err = 1;
165                  }
166              }
167            else
168              {
169                if (inex <= 0)
170                  {
171                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
172                            "  The inexact value must be positive.\n",
173                            i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
174                    err = 1;
175                  }
176                if (! (mpfr_inf_p (x) && MPFR_SIGN (x) > 0))
177                  {
178                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
179                            "  Got ", i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
180                    mpfr_print_binary (x);
181                    printf (" instead of +Inf.\n");
182                    err = 1;
183                  }
184              }
185          }
186      set_emax (old_emax);
187    }
188
189  if (err)
190    exit (1);
191  mpfr_clear (x);
192  mpfr_clear (y);
193}
194
195int
196main (int argc, char *argv[])
197{
198  mpfr_t x, y;
199  mpfr_exp_t emin, emax;
200  int inex, ov;
201
202  tests_start_mpfr ();
203
204  special_overflow ();
205  emax_m_eps ();
206  exp_range ();
207
208  mpfr_init (x);
209  mpfr_init (y);
210
211  mpfr_set_ui (x, 4, MPFR_RNDN);
212  mpfr_exp10 (y, x, MPFR_RNDN);
213  if (mpfr_cmp_ui (y, 10000) != 0)
214    {
215      printf ("Error for 10^4, MPFR_RNDN\n");
216      exit (1);
217    }
218  mpfr_exp10 (y, x, MPFR_RNDD);
219  if (mpfr_cmp_ui (y, 10000) != 0)
220    {
221      printf ("Error for 10^4, MPFR_RNDD\n");
222      exit (1);
223    }
224  mpfr_exp10 (y, x, MPFR_RNDU);
225  if (mpfr_cmp_ui (y, 10000) != 0)
226    {
227      printf ("Error for 10^4, MPFR_RNDU\n");
228      exit (1);
229    }
230
231  mpfr_set_prec (x, 10);
232  mpfr_set_prec (y, 10);
233  /* save emin */
234  emin = mpfr_get_emin ();
235  set_emin (-11);
236  mpfr_set_si (x, -4, MPFR_RNDN);
237  mpfr_exp10 (y, x, MPFR_RNDN);
238  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
239    {
240      printf ("Error for emin = -11, x = -4, RNDN\n");
241      printf ("Expected +0\n");
242      printf ("Got      "); mpfr_print_binary (y); puts ("");
243      exit (1);
244    }
245  /* restore emin */
246  set_emin (emin);
247
248  /* save emax */
249  emax = mpfr_get_emax ();
250  set_emax (13);
251  mpfr_set_ui (x, 4, MPFR_RNDN);
252  mpfr_exp10 (y, x, MPFR_RNDN);
253  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
254    {
255      printf ("Error for emax = 13, x = 4, RNDN\n");
256      printf ("Expected +inf\n");
257      printf ("Got      "); mpfr_print_binary (y); puts ("");
258      exit (1);
259    }
260  /* restore emax */
261  set_emax (emax);
262
263  MPFR_SET_INF (x);
264  MPFR_SET_POS (x);
265  mpfr_exp10 (y, x, MPFR_RNDN);
266  if (!MPFR_IS_INF (y))
267    {
268      printf ("evaluation of function in INF does not return INF\n");
269      exit (1);
270    }
271
272  MPFR_CHANGE_SIGN (x);
273  mpfr_exp10 (y, x, MPFR_RNDN);
274  if (!MPFR_IS_ZERO (y))
275    {
276      printf ("evaluation of function in -INF does not return 0\n");
277      exit (1);
278    }
279
280  MPFR_SET_NAN (x);
281  mpfr_exp10 (y, x, MPFR_RNDN);
282  if (!MPFR_IS_NAN (y))
283    {
284      printf ("evaluation of function in NaN does not return NaN\n");
285      exit (1);
286    }
287
288  if ((mpfr_uexp_t) 8 << 31 != 0 ||
289      mpfr_get_emax () <= (mpfr_uexp_t) 100000 * 100000)
290    {
291      /* emax <= 10000000000 */
292      mpfr_set_prec (x, 40);
293      mpfr_set_prec (y, 40);
294      mpfr_set_str (x, "3010299957", 10, MPFR_RNDN);
295      mpfr_clear_flags ();
296      inex = mpfr_exp10 (y, x, MPFR_RNDN);
297      ov = mpfr_overflow_p ();
298      if (!(MPFR_IS_INF (y) && MPFR_IS_POS (y) && ov))
299        {
300          printf ("Overflow error for x = 3010299957, MPFR_RNDN.\n");
301          mpfr_dump (y);
302          printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
303          exit (1);
304        }
305    }
306
307  test_generic (2, 100, 100);
308
309  mpfr_clear (x);
310  mpfr_clear (y);
311
312  overfl_exp10_0 ();
313
314  data_check ("data/exp10", mpfr_exp10, "mpfr_exp10");
315
316  tests_end_mpfr ();
317  return 0;
318}
319