--- /dev/null
+/* Test file for mpfr_factorial.
+
+Copyright 2001, 2002, 2003, 2004, 2005, 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"
+
+#define TEST_FUNCTION mpfr_fac_ui
+
+static void
+special (void)
+{
+ mpfr_t x, y;
+ int inex;
+
+ mpfr_init (x);
+ mpfr_init (y);
+
+ mpfr_set_prec (x, 21);
+ mpfr_set_prec (y, 21);
+ mpfr_fac_ui (x, 119, GMP_RNDZ);
+ mpfr_set_str_binary (y, "0.101111101110100110110E654");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_fac_ui (119)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (y, 206);
+ inex = mpfr_fac_ui (y, 767, GMP_RNDN);
+ mpfr_set_prec (x, 206);
+ mpfr_set_str_binary (x, "0.110111100001000001101010010001000111000100000100111000010011100011011111001100011110101000111101101100110001001100110100001001111110000101010000100100011100010011101110000001000010001100010000101001111E6250");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_fac_ui (767)\n");
+ exit (1);
+ }
+ if (inex <= 0)
+ {
+ printf ("Wrong flag for mpfr_fac_ui (767)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (y, 202);
+ mpfr_fac_ui (y, 69, GMP_RNDU);
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static void
+test_int (void)
+{
+ unsigned long n0 = 1, n1 = 80, n;
+ mpz_t f;
+ mpfr_t x, y;
+ mp_prec_t prec_f, p;
+ int r;
+ int inex1, inex2;
+
+ mpz_init (f);
+ mpfr_init (x);
+ mpfr_init (y);
+
+ mpz_fac_ui (f, n0 - 1);
+ for (n = n0; n <= n1; n++)
+ {
+ mpz_mul_ui (f, f, n); /* f = n! */
+ prec_f = mpz_sizeinbase (f, 2) - mpz_scan1 (f, 0);
+ for (p = MPFR_PREC_MIN; p <= prec_f; p++)
+ {
+ mpfr_set_prec (x, p);
+ mpfr_set_prec (y, p);
+ for (r = 0; r < GMP_RND_MAX; r++)
+ {
+ inex1 = mpfr_fac_ui (x, n, (mp_rnd_t) r);
+ inex2 = mpfr_set_z (y, f, (mp_rnd_t) r);
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for n=%lu prec=%lu rnd=%s\n",
+ n, (unsigned long) p, mpfr_print_rnd_mode ((mp_rnd_t) r));
+ exit (1);
+ }
+ if ((inex1 < 0 && inex2 >= 0) || (inex1 == 0 && inex2 != 0)
+ || (inex1 > 0 && inex2 <= 0))
+ {
+ printf ("Wrong inexact flag for n=%lu prec=%lu rnd=%s\n",
+ n, (unsigned long) p, mpfr_print_rnd_mode ((mp_rnd_t) r));
+ exit (1);
+ }
+ }
+ }
+ }
+
+ mpz_clear (f);
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static void
+overflowed_fac0 (void)
+{
+ mpfr_t x, y;
+ int inex, rnd, err = 0;
+ mp_exp_t old_emax;
+
+ old_emax = mpfr_get_emax ();
+
+ mpfr_init2 (x, 8);
+ mpfr_init2 (y, 8);
+
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_nextbelow (y);
+ set_emax (0); /* 1 is not representable. */
+ RND_LOOP (rnd)
+ {
+ mpfr_clear_flags ();
+ inex = mpfr_fac_ui (x, 0, (mp_rnd_t) rnd);
+ if (! mpfr_overflow_p ())
+ {
+ printf ("Error in overflowed_fac0 (rnd = %s):\n"
+ " The overflow flag is not set.\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (rnd == GMP_RNDZ || rnd == GMP_RNDD)
+ {
+ if (inex >= 0)
+ {
+ printf ("Error in overflowed_fac0 (rnd = %s):\n"
+ " The inexact value must be negative.\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! mpfr_equal_p (x, y))
+ {
+ printf ("Error in overflowed_fac0 (rnd = %s):\n"
+ " Got ", mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (x);
+ printf (" instead of 0.11111111E0.\n");
+ err = 1;
+ }
+ }
+ else
+ {
+ if (inex <= 0)
+ {
+ printf ("Error in overflowed_fac0 (rnd = %s):\n"
+ " The inexact value must be positive.\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! (mpfr_inf_p (x) && MPFR_SIGN (x) > 0))
+ {
+ printf ("Error in overflowed_fac0 (rnd = %s):\n"
+ " Got ", mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (x);
+ printf (" instead of +Inf.\n");
+ err = 1;
+ }
+ }
+ }
+ set_emax (old_emax);
+
+ if (err)
+ exit (1);
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+int
+main (int argc, char *argv[])
+{
+ unsigned int prec, err, yprec, n, k, zeros;
+ int rnd;
+ mpfr_t x, y, z, t;
+ int inexact;
+
+ tests_start_mpfr ();
+
+ special ();
+
+ test_int ();
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (z);
+ mpfr_init (t);
+
+ mpfr_fac_ui (y, 0, GMP_RNDN);
+
+ if (mpfr_cmp_ui (y, 1))
+ {
+ printf ("mpfr_fac_ui(0) does not give 1\n");
+ exit (1);
+ }
+
+ for (prec = 2; prec <= 100; prec++)
+ {
+ mpfr_set_prec (x, prec);
+ mpfr_set_prec (z, prec);
+ mpfr_set_prec (t, prec);
+ yprec = prec + 10;
+ mpfr_set_prec (y, yprec);
+
+ for (n = 0; n < 50; n++)
+ for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
+ {
+ inexact = mpfr_fac_ui (y, n, (mp_rnd_t) rnd);
+ err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
+ if (mpfr_can_round (y, err, (mp_rnd_t) rnd, (mp_rnd_t) rnd, prec))
+ {
+ mpfr_set (t, y, (mp_rnd_t) rnd);
+ inexact = mpfr_fac_ui (z, n, (mp_rnd_t) rnd);
+ /* fact(n) ends with floor(n/2)+floor(n/4)+... zeros */
+ for (k=n/2, zeros=0; k; k >>= 1)
+ zeros += k;
+ if (MPFR_EXP(y) <= (mp_exp_t) (prec + zeros))
+ /* result should be exact */
+ {
+ if (inexact)
+ {
+ printf ("Wrong inexact flag: expected exact\n");
+ exit (1);
+ }
+ }
+ else /* result is inexact */
+ {
+ if (!inexact)
+ {
+ printf ("Wrong inexact flag: expected inexact\n");
+ printf ("n=%u prec=%u\n", n, prec);
+ mpfr_print_binary(z); puts ("");
+ exit (1);
+ }
+ }
+ if (mpfr_cmp (t, z))
+ {
+ printf ("results differ for x=");
+ mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
+ printf (" prec=%u rnd_mode=%s\n", prec,
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ printf (" got ");
+ mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
+ puts ("");
+ printf (" expected ");
+ mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
+ puts ("");
+ printf (" approximation was ");
+ mpfr_print_binary (y);
+ puts ("");
+ exit (1);
+ }
+ }
+ }
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+ mpfr_clear (t);
+
+ overflowed_fac0 ();
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff