summaryrefslogtreecommitdiff
path: root/tests/tai.c
blob: 7faea630a17742368eeda4889c51474cfb091763 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
/* Test file for mpfr_ai.

Copyright 2010-2019 Free Software Foundation, Inc.
Contributed by the AriC and Caramba projects, INRIA.

This file is part of the GNU MPFR Library.

The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

The GNU MPFR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
License for more details.

You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */

#include "mpfr-test.h"

#define TEST_FUNCTION mpfr_ai
#define TEST_RANDOM_EMIN -5
#define TEST_RANDOM_EMAX 5
#define REDUCE_EMAX 7 /* this is to avoid that test_generic() calls mpfr_ai
                         with too large inputs. FIXME: remove this once
                         mpfr_ai can handle large inputs */
#include "tgeneric.c"

static void
check_large (void)
{
  mpfr_t x, y, z;

  mpfr_init2 (x, 38);
  mpfr_init2 (y, 110);
  mpfr_init2 (z, 110);
  mpfr_set_str_binary (x, "-1E8");
  mpfr_ai (y, x, MPFR_RNDN);
  mpfr_set_str_binary (z, "-10001110100001011111110001100011101100011100010000110100100101011111011100000101110101010010000000101110011111E-112");
  if (mpfr_equal_p (y, z) == 0)
    {
      printf ("Error in mpfr_ai for x=-2^8\n");
      exit (1);
    }
#if 0 /* disabled since mpfr_ai does not currently handle large arguments */
  mpfr_set_str_binary (x, "-1E26");
  mpfr_ai (y, x, MPFR_RNDN);
  mpfr_set_str_binary (z, "-110001111100000011001010010101001101001011001011101011001010100100001110001101101101000010000011001000001011E-118");
  if (mpfr_equal_p (y, z) == 0)
    {
      printf ("Error in mpfr_ai for x=-2^26\n");
      exit (1);
    }
  mpfr_set_str_binary (x, "-0.11111111111111111111111111111111111111E1073741823");
  mpfr_ai (y, x, MPFR_RNDN);
  /* FIXME: compute the correctly rounded value we should get for Ai(x),
     and check we get this value */
#endif
  mpfr_clear (x);
  mpfr_clear (y);
  mpfr_clear (z);
}

static void
check_zero (void)
{
  mpfr_t x, y, r;

  mpfr_init2 (x, 53);
  mpfr_init2 (y, 53);
  mpfr_init2 (r, 53);

  mpfr_set_str_binary (r, "10110101110001100011110010110001001110001010110111E-51");

  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_ai (y, x, MPFR_RNDN);
  if (mpfr_equal_p (y, r) == 0)
    {
      printf ("Error in mpfr_ai for x=0\n");
      printf ("Expected "); mpfr_dump (r);
      printf ("Got      "); mpfr_dump (y);
      exit (1);
    }
  mpfr_clear (x);
  mpfr_clear (y);
  mpfr_clear (r);
}

static void
bug20180107 (void)
{
  mpfr_t x, y, z;
  mpfr_exp_t emin;
  int inex;
  mpfr_flags_t flags;

  mpfr_init2 (x, 152);
  mpfr_init2 (y, 11);
  mpfr_init2 (z, 11);
  mpfr_set_str_binary (x, "0.11010101100111000111001001010110101001100001011110101111000010100111011101011110000100111011101100100100001010000110100011001000111010010001110000011100E5");
  emin = mpfr_get_emin ();
  mpfr_set_emin (-134);
  mpfr_clear_flags ();
  inex = mpfr_ai (y, x, MPFR_RNDA);
  flags = __gmpfr_flags;
  /* result should be 0.10011100000E-135 with unlimited exponent range,
     and thus should be rounded to 0.1E-134 */
  mpfr_set_str_binary (z, "0.1E-134");
  MPFR_ASSERTN (mpfr_equal_p (y, z));
  MPFR_ASSERTN (inex > 0);
  MPFR_ASSERTN (flags == (MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));

  mpfr_set_prec (x, 2);
  mpfr_set_str_binary (x, "0.11E7");
  mpfr_set_prec (y, 2);
  mpfr_clear_flags ();
  inex = mpfr_ai (y, x, MPFR_RNDA);
  flags = __gmpfr_flags;
  /* result should be 1.0E-908 with unlimited exponent range,
     and thus should be rounded to 0.1E-134 */
  mpfr_set_str_binary (z, "0.1E-134");
  MPFR_ASSERTN (mpfr_equal_p (y, z));
  MPFR_ASSERTN (inex > 0);
  MPFR_ASSERTN (flags == (MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));

  mpfr_set_emin (emin);
  mpfr_clear (x);
  mpfr_clear (y);
  mpfr_clear (z);
}

/* exercise mpfr_ai near m*2^e, for precision p */
static void
test_near_m2e (long m, mpfr_exp_t e, mpfr_prec_t pmax)
{
  mpfr_t x, xx, y, yy;
  mpfr_prec_t p;
  int inex;

  mpfr_clear_flags ();

  /* first determine the smallest precision for which m*2^e is exact */
  for (p = MPFR_PREC_MIN; p <= pmax; p++)
    {
      mpfr_init2 (x, p);
      inex = mpfr_set_si_2exp (x, m, e, MPFR_RNDN);
      mpfr_clear (x);
      if (inex == 0)
        break;
    }

  mpfr_init2 (x, p);
  inex = mpfr_set_si_2exp (x, m, e, MPFR_RNDN);
  MPFR_ASSERTN(inex == 0);

  for (; p <= pmax; p++)
    {
      mpfr_init2 (y, p);
      mpfr_init2 (xx, p);
      mpfr_init2 (yy, p);
      mpfr_prec_round (x, p, MPFR_RNDN);
      mpfr_ai (y, x, MPFR_RNDN);
      while (1)
        {
          mpfr_set (xx, x, MPFR_RNDN);
          mpfr_nextbelow (xx);
          mpfr_ai (yy, xx, MPFR_RNDN);
          if (mpfr_cmpabs (yy, y) >= 0)
            break;
          else
            {
              mpfr_set (x, xx, MPFR_RNDN);
              mpfr_set (y, yy, MPFR_RNDN);
            }
        }
      while (1)
        {
          mpfr_set (xx, x, MPFR_RNDN);
          mpfr_nextabove (xx);
          mpfr_ai (yy, xx, MPFR_RNDN);
          if (mpfr_cmpabs (yy, y) >= 0)
            break;
          else
            {
              mpfr_set (x, xx, MPFR_RNDN);
              mpfr_set (y, yy, MPFR_RNDN);
            }
        }
      mpfr_clear (y);
      mpfr_clear (xx);
      mpfr_clear (yy);
    }

  mpfr_clear (x);

  /* Since some tests don't really check that the result is not NaN... */
  MPFR_ASSERTN (! mpfr_nanflag_p ());
}

/* example provided by Sylvain Chevillard, which exercises the case
   wprec < err + 1, and thus correct_bits = 0, in src/ai.c */
static void
coverage (void)
{
  mpfr_t x, y;
  int inex;

  mpfr_init2 (x, 800);
  mpfr_init2 (y, 20);
  mpfr_set_str (x, "-2.3381074104597670384891972524467354406385401456723878524838544372136680027002836477821640417313293202847600938532659527752254668583598667448688987168197275409731526749911127480659996456283534915503672", 10, MPFR_RNDN);
  inex = mpfr_ai (y, x, MPFR_RNDN);
  MPFR_ASSERTN(inex < 0);
  MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 593131, -682) == 0);

  mpfr_clear (x);
  mpfr_clear (y);
}

int
main (int argc, char *argv[])
{
  tests_start_mpfr ();

  coverage ();
  test_near_m2e (-5, -1, 100); /* exercise near -2.5 */
  test_near_m2e (-4, 0, 100); /* exercise near -4 */
  test_near_m2e (-11, -1, 100); /* exercise near -5.5 */
  test_near_m2e (-27, -2, 100); /* exercise near -6.75 */
  test_near_m2e (-31, -2, 100); /* exercise near -7.75 */
  test_near_m2e (-15, -1, 100); /* exercise near -7.5 */
  bug20180107 ();
  check_large ();
  check_zero ();

  test_generic (MPFR_PREC_MIN, 100, 5);

  tests_end_mpfr ();
  return 0;
}