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/* Test file for mpfr_urandomb
Copyright 1999-2004, 2006-2019 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"
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 *) tests_allocate (size_tab * sizeof (int));
for (k = 0; k < size_tab; k++)
tab[k] = 0;
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_dump (x);
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)
{
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 (((unsigned int) (k+1) & 7) == 0)
printf ("\n");
}
printf ("\nChi2 statistics value (with %d degrees of freedom) :"
" %.5f\n\n", size_tab - 1, chi2);
}
tests_free (tab, size_tab * sizeof (int));
return;
}
#ifndef MPFR_USE_MINI_GMP
/* 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);
}
#endif
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 these tests assume a deterministic random generator, and this
is not implemented in mini-gmp, we omit them with mini-gmp. */
bug20100914 ();
#if __MPFR_GMP(4,2,0)
/* Get a non-zero fixed-point number whose first 32 bits are 0 with the
default GMP PRNG. This corresponds to the case cnt == 0 && k != 0 in
src/urandomb.c (fixed in r8762) with the 32-bit ABI. */
{
gmp_randstate_t s;
mpfr_t x;
char *str = "0.1010111100000000000000000000000000000000E-32";
int k;
gmp_randinit_default (s);
gmp_randseed_ui (s, 4518);
mpfr_init2 (x, 40);
for (k = 0; k < 575123; k++)
{
mpfr_urandomb (x, s);
MPFR_ASSERTN (MPFR_IS_FP (x));
}
if (mpfr_cmp_str (x, str, 2, MPFR_RNDN) != 0)
{
printf ("Error in test_urandomb:\n");
printf ("Expected %s\n", str);
printf ("Got ");
mpfr_dump (x);
exit (1);
}
mpfr_clear (x);
gmp_randclear (s);
}
#endif
#endif
tests_end_mpfr ();
return 0;
}
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