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
|
/* Test file for mpfr_urandomb
Copyright 1999-2004, 2006-2014 Free Software Foundation, Inc.
Contributed by the AriC and Caramel 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
http://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"
static void
test_urandomb (long nbtests, mpfr_prec_t prec, int verbose)
{
mpfr_t x;
int *tab, size_tab, k, sh, xn;
double d, av = 0, var = 0, chi2 = 0, th;
mpfr_exp_t emin;
size_tab = (nbtests >= 1000 ? nbtests / 50 : 20);
tab = (int *) calloc (size_tab, sizeof(int));
if (tab == NULL)
{
fprintf (stderr, "trandom: can't allocate memory in test_urandomb\n");
exit (1);
}
mpfr_init2 (x, prec);
xn = 1 + (prec - 1) / mp_bits_per_limb;
sh = xn * mp_bits_per_limb - prec;
for (k = 0; k < nbtests; k++)
{
mpfr_urandomb (x, RANDS);
MPFR_ASSERTN (MPFR_IS_FP (x));
/* check that lower bits are zero */
if (MPFR_NOTZERO(x) && (MPFR_MANT(x)[0] & MPFR_LIMB_MASK(sh)))
{
printf ("Error: mpfr_urandomb() returns invalid numbers:\n");
mpfr_print_binary (x); puts ("");
exit (1);
}
d = mpfr_get_d1 (x); av += d; var += d*d;
tab[(int)(size_tab * d)]++;
}
/* coverage test */
emin = mpfr_get_emin ();
set_emin (1); /* the generated number in [0,1[ is not in the exponent
range, except if it is zero */
k = mpfr_urandomb (x, RANDS);
if (MPFR_IS_ZERO(x) == 0 && (k == 0 || mpfr_nan_p (x) == 0))
{
printf ("Error in mpfr_urandomb, expected NaN, got ");
mpfr_dump (x);
exit (1);
}
set_emin (emin);
mpfr_clear (x);
if (!verbose)
{
free(tab);
return;
}
av /= nbtests;
var = (var / nbtests) - av * av;
th = (double)nbtests / size_tab;
printf("Average = %.5f\nVariance = %.5f\n", av, var);
printf("Repartition for urandomb. Each integer should be close to %d.\n",
(int)th);
for (k = 0; k < size_tab; k++)
{
chi2 += (tab[k] - th) * (tab[k] - th) / th;
printf("%d ", tab[k]);
if (((k+1) & 7) == 0)
printf("\n");
}
printf("\nChi2 statistics value (with %d degrees of freedom) : %.5f\n\n",
size_tab - 1, chi2);
free(tab);
return;
}
/* Problem reported by Carl Witty: check mpfr_urandomb give similar results
on 32-bit and 64-bit machines.
We assume the default GMP random generator does not depend on the machine
word size, not on the GMP version.
*/
static void
bug20100914 (void)
{
mpfr_t x;
gmp_randstate_t s;
#if __MPFR_GMP(4,2,0)
# define C1 "0.895943"
# define C2 "0.848824"
#else
# define C1 "0.479652"
# define C2 "0.648529"
#endif
gmp_randinit_default (s);
gmp_randseed_ui (s, 42);
mpfr_init2 (x, 17);
mpfr_urandomb (x, s);
if (mpfr_cmp_str1 (x, C1) != 0)
{
printf ("Error in bug20100914, expected " C1 ", got ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_urandomb (x, s);
if (mpfr_cmp_str1 (x, C2) != 0)
{
printf ("Error in bug20100914, expected " C2 ", got ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear (x);
gmp_randclear (s);
}
int
main (int argc, char *argv[])
{
long nbtests;
mpfr_prec_t prec;
int verbose = 0;
tests_start_mpfr ();
if (argc > 1)
verbose = 1;
nbtests = 10000;
if (argc > 1)
{
long a = atol(argv[1]);
if (a != 0)
nbtests = a;
}
if (argc <= 2)
prec = 1000;
else
prec = atol(argv[2]);
test_urandomb (nbtests, prec, verbose);
if (argc == 1) /* check also small precision */
{
test_urandomb (nbtests, 2, 0);
}
#ifndef MPFR_USE_MINI_GMP
/* since this test assumes a deterministic random generator, and this is not
implemented in mini-gmp, we omit it with mini-gmp */
bug20100914 ();
#endif
tests_end_mpfr ();
return 0;
}
|
