Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2006, 2007 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.
This file is part of the MPFR Library.
The 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 2.1 of the License, or (at your
option) any later version.
The 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 MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include "mpfr-test.h"
static void
test_random (long nbtests, mp_prec_t prec, int verbose)
{
mpfr_t x;
int *tab, size_tab, k;
double d, av = 0, var = 0, chi2 = 0, th;
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_random\n");
exit (1);
}
mpfr_init2(x, prec);
for (k = 0; k < nbtests; k++)
{
mpfr_random(x);
d = mpfr_get_d1 (x); av += d; var += d*d;
tab[(int)(size_tab * d)]++;
}
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 random. 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);
printf("\n");
free(tab);
return;
}
static void
test_random2 (long nbtests, mp_prec_t prec, int verbose)
{
mpfr_t x;
int *tab, size_tab, k, sh, xn;
double d, av = 0, var = 0, chi2 = 0, th;
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_random2\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_random2 (x, xn, 0);
if (MPFR_MANT(x)[0] & MPFR_LIMB_MASK(sh))
{
printf ("Error: mpfr_random2() returns invalid numbers:\n");
mpfr_print_binary (x); puts ("");
exit (1);
}
if (! (MPFR_MANT(x)[MPFR_LIMB_SIZE(x) - 1] >> (BITS_PER_MP_LIMB - 1)))
{
printf ("Error: mpfr_random2() returns unnormalized numbers:\n");
mpfr_print_binary (x); puts ("");
exit (1);
}
if (mpfr_get_exp (x) != 0)
{
printf ("Error: mpfr_random2 (.., .., 0) does not return"
" a 0 exponent:\n");
mpfr_print_binary (x); puts ("");
exit (1);
}
d = mpfr_get_d1 (x); av += d; var += d*d;
if (d < 1)
tab[(int)(size_tab * d)]++;
}
mpfr_random2 (x, 0, 0);
MPFR_ASSERTN (mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x));
mpfr_set_si (x, -1, GMP_RNDN);
mpfr_random2 (x, 0, 0);
MPFR_ASSERTN (mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x));
mpfr_random2 (x, -1, 0);
MPFR_ASSERTN (MPFR_IS_NEG (x) && MPFR_EXP (x) == 0);
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 random2 (taking only values < 1 into account.\n");
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;
}
static void
test_urandomb (long nbtests, mp_prec_t prec, int verbose)
{
mpfr_t x;
int *tab, size_tab, k, sh, xn;
gmp_randstate_t state;
double d, av = 0, var = 0, chi2 = 0, th;
mp_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;
gmp_randinit (state, GMP_RAND_ALG_LC, 128);
gmp_randseed_ui (state, time(NULL));
for (k = 0; k < nbtests; k++)
{
mpfr_urandomb (x, state);
if (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)]++;
}
emin = mpfr_get_emin ();
set_emin (1);
range, except if it is zero */
k = mpfr_urandomb (x, state);
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);
gmp_randclear (state);
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;
}
int
main (int argc, char *argv[])
{
long nbtests;
mp_prec_t prec;
int verbose = 0;
MPFR_TEST_USE_RANDS ();
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_random (nbtests, prec, verbose);
test_random2 (nbtests, prec, verbose);
test_urandomb (nbtests, prec, verbose);
if (argc == 1)
{
test_random (nbtests, 2, 0);
test_random2 (nbtests, 2, 0);
test_urandomb (nbtests, 2, 0);
}
tests_end_mpfr ();
return 0;
}
