--- /dev/null
+/* Test file for the various mpfr_random fonctions.
+
+Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao 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 2.1 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.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 "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_urandomb (x, RANDS);
+ 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);
+ /* check that lower bits are zero */
+ if (MPFR_MANT(x)[0] & MPFR_LIMB_MASK(sh))
+ {
+ printf ("Error: mpfr_random2() returns invalid numbers:\n");
+ mpfr_print_binary (x); puts ("");
+ exit (1);
+ }
+
+ /* check that the number is normalized */
+ 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);
+ }
+
+ /* check that exponent is in correct range */
+ 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)]++;
+ }
+
+ /* test size=0 */
+ mpfr_random2 (x, 0, 0);
+ MPFR_ASSERTN (mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x));
+ mpfr_set_si (x, -1, GMP_RNDN); /* x is negative */
+ mpfr_random2 (x, 0, 0);
+ MPFR_ASSERTN (mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS (x));
+
+ /* test size < 0 */
+ 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;
+ 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;
+
+ for (k = 0; k < nbtests; k++)
+ {
+ mpfr_urandomb (x, RANDS);
+ /* check that lower bits are zero */
+ 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)]++;
+ }
+
+ /* 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;
+}
+
+int
+main (int argc, char *argv[])
+{
+ long nbtests;
+ mp_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_random (nbtests, prec, verbose);
+ test_random2 (nbtests, prec, verbose);
+ test_urandomb (nbtests, prec, verbose);
+
+ if (argc == 1) /* check also small precision */
+ {
+ test_random (nbtests, 2, 0);
+ test_random2 (nbtests, 2, 0);
+ test_urandomb (nbtests, 2, 0);
+ }
+
+ tests_end_mpfr ();
+ return 0;
+}
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