1 /* Test file for mpfr_eq.
2
3 Copyright 1999-2023 Free Software Foundation, Inc.
4 Contributed by the AriC and Caramba projects, INRIA.
5
6 This file is part of the GNU MPFR Library.
7
8 The GNU MPFR Library is free software; you can redistribute it and/or modify
9 it under the terms of the GNU Lesser General Public License as published by
10 the Free Software Foundation; either version 3 of the License, or (at your
11 option) any later version.
12
13 The GNU MPFR Library is distributed in the hope that it will be useful, but
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
16 License for more details.
17
18 You should have received a copy of the GNU Lesser General Public License
19 along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
20 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
21 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
22
23 #include "mpfr-test.h"
24
25 static void
26 teq (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
66 static void
67 special (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
183 int
184 main (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 }