1/* Test file for mpfr_eq.
2
3Copyright 1999-2023 Free Software Foundation, Inc.
4Contributed by the AriC and Caramba 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
20https://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 "mpfr-test.h"
24
25static void
26teq (mpfr_ptr x)
27{
28  mpfr_t y;
29  unsigned long k, px, mx;
30
31  mpfr_init2 (y, MPFR_PREC(x));
32
33  mx = (MPFR_PREC(x) - 1) / mp_bits_per_limb;
34  px = mp_bits_per_limb - 2;
35
36  for (k = 2; k < MPFR_PREC(x); k++)
37    {
38      mpfr_set (y, x, MPFR_RNDN);
39
40      MPFR_MANT(y) [mx] ^= MPFR_LIMB_ONE << px;
41
42      if (mpfr_eq(y, x, k) || !mpfr_eq(y, x, k - 1))
43        {
44          printf ("Error in eq.\n");
45          printf ("x = "); mpfr_dump (x);
46          printf ("y = "); mpfr_dump (y);
47          printf ("k = %lu\n", k);
48          printf ("mpfr_eq(y, x, k) = %d\nmpfr_eq(y, x, k - 1) = %d\n",
49                  mpfr_eq (y, x, k), mpfr_eq (y, x, k - 1));
50          exit (1);
51        }
52
53      if (px)
54        {
55          --px;
56        }
57      else
58        {
59          --mx;
60          px = mp_bits_per_limb - 1;
61        }
62    }
63  mpfr_clear (y);
64}
65
66static void
67special (void)
68{
69  mpfr_t x, y, z;
70  int i, error = 0;
71
72  mpfr_init2 (x, 53);
73  mpfr_init2 (y, 53);
74  mpfr_init2 (z, 53);
75
76  mpfr_set_str (x, "1", 10, (mpfr_rnd_t) 0);
77  mpfr_set_str (y, "1e-10000", 10, (mpfr_rnd_t) 0);
78  mpfr_add (z, x, y, MPFR_RNDU);
79
80  for (i = 1; i <= 52; i++)
81    if (mpfr_eq (x, z, i) == 0)
82      error = 1;
83  for (i = 53; i <= 100; i++)
84    if (mpfr_eq (x, z, i) != 0)
85      error = 1;
86  if (mpfr_eq (x, z, 1000) != 0)
87    error = 1;
88
89  if (error)
90    {
91      printf ("Error in mpfr_eq (1, 1+1e-1000)\n");
92      exit (1);
93    }
94
95  mpfr_set_nan (x);
96  mpfr_set_nan (y);
97  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
98
99  mpfr_set_inf (y, 1);
100  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
101
102  mpfr_set_ui (y, 0, MPFR_RNDN);
103  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
104
105  mpfr_set_inf (x, 1);
106  mpfr_set_inf (y, 1);
107  MPFR_ASSERTN(mpfr_eq (x, y, 1));
108
109  mpfr_set_inf (x, 1);
110  mpfr_set_inf (y, -1);
111  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
112
113  mpfr_set_inf (x, -1);
114  mpfr_set_inf (y, -1);
115  MPFR_ASSERTN(mpfr_eq (x, y, 1));
116
117  mpfr_set_inf (x, 1);
118  mpfr_set_ui (y, 0, MPFR_RNDN);
119  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
120
121  mpfr_set_ui (x, 1, MPFR_RNDN);
122  mpfr_set_ui (y, 0, MPFR_RNDN);
123  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
124  MPFR_ASSERTN(mpfr_eq (y, x, 1) == 0);
125
126  mpfr_set_ui (x, 0, MPFR_RNDN);
127  mpfr_set_ui (y, 0, MPFR_RNDN);
128  MPFR_ASSERTN(mpfr_eq (x, y, 1));
129
130  mpfr_neg (y, y, MPFR_RNDN);
131  MPFR_ASSERTN(mpfr_eq (x, y, 1));
132
133  mpfr_neg (x, x, MPFR_RNDN);
134  MPFR_ASSERTN(mpfr_eq (x, y, 1));
135
136  mpfr_set_ui (x, 1, MPFR_RNDN);
137  mpfr_neg (y, x, MPFR_RNDN);
138  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
139
140  mpfr_set_prec (x, 2 * mp_bits_per_limb);
141  mpfr_set_prec (y, mp_bits_per_limb);
142  mpfr_set_ui (x, 1, MPFR_RNDN);
143  mpfr_set_ui (y, 1, MPFR_RNDN);
144  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb - 1));
145  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb));
146  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb + 1));
147  MPFR_ASSERTN(mpfr_eq (x, y, 2 * mp_bits_per_limb - 1));
148  MPFR_ASSERTN(mpfr_eq (x, y, 2 * mp_bits_per_limb));
149  MPFR_ASSERTN(mpfr_eq (x, y, 2 * mp_bits_per_limb + 1));
150
151  mpfr_nextabove (x);
152  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb - 1));
153  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb));
154  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb + 1));
155  MPFR_ASSERTN(mpfr_eq (x, y, 2 * mp_bits_per_limb - 1));
156  MPFR_ASSERTN(mpfr_eq (x, y, 2 * mp_bits_per_limb) == 0);
157  MPFR_ASSERTN(mpfr_eq (x, y, 2 * mp_bits_per_limb + 1) == 0);
158  MPFR_ASSERTN(mpfr_eq (y, x, mp_bits_per_limb - 1));
159  MPFR_ASSERTN(mpfr_eq (y, x, mp_bits_per_limb));
160  MPFR_ASSERTN(mpfr_eq (y, x, mp_bits_per_limb + 1));
161  MPFR_ASSERTN(mpfr_eq (y, x, 2 * mp_bits_per_limb - 1));
162  MPFR_ASSERTN(mpfr_eq (y, x, 2 * mp_bits_per_limb) == 0);
163  MPFR_ASSERTN(mpfr_eq (y, x, 2 * mp_bits_per_limb + 1) == 0);
164
165  mpfr_set_ui (x, 1, MPFR_RNDN);
166  mpfr_set_ui (y, 2, MPFR_RNDN);
167  MPFR_ASSERTN(mpfr_eq (x, y, 1) == 0);
168
169  mpfr_set_prec (x, 2 * mp_bits_per_limb);
170  mpfr_set_prec (y, 2 * mp_bits_per_limb);
171  mpfr_set_ui (x, 2, MPFR_RNDN);
172  mpfr_set_ui (y, 3, MPFR_RNDN);
173  MPFR_ASSERTN(mpfr_eq (x, y, 1));
174  MPFR_ASSERTN(mpfr_eq (x, y, 2) == 0);
175  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb) == 0);
176  MPFR_ASSERTN(mpfr_eq (x, y, mp_bits_per_limb + 1) == 0);
177
178  mpfr_clear (x);
179  mpfr_clear (y);
180  mpfr_clear (z);
181}
182
183int
184main (void)
185{
186  int j;
187  mpfr_t x;
188
189  tests_start_mpfr ();
190
191  special ();
192
193  mpfr_init2 (x, 500);
194
195  for (j = 0; j < 500; j++)
196    {
197      mpfr_urandomb (x, RANDS);
198      teq (x);
199    }
200
201  mpfr_clear (x);
202
203  tests_end_mpfr ();
204  return 0;
205}
206