--- /dev/null
+/* Test file for mpfr_coth.
+
+Copyright 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_coth
+#include "tgeneric.c"
+
+static void
+check_specials (void)
+{
+ mpfr_t x, y;
+
+ mpfr_init2 (x, 123L);
+ mpfr_init2 (y, 123L);
+
+ mpfr_set_nan (x);
+ mpfr_coth (y, x, GMP_RNDN);
+ if (! mpfr_nan_p (y))
+ {
+ printf ("Error: coth(NaN) != NaN\n");
+ exit (1);
+ }
+
+ mpfr_set_inf (x, 1);
+ mpfr_coth (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 1))
+ {
+ printf ("Error: coth(Inf) != 1\n");
+ exit (1);
+ }
+
+ mpfr_set_inf (x, -1);
+ mpfr_coth (y, x, GMP_RNDN);
+ if (mpfr_cmp_si (y, -1))
+ {
+ printf ("Error: coth(-Inf) != -1\n");
+ exit (1);
+ }
+
+ /* cot(+/-0) = +/-0 */
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_coth (y, x, GMP_RNDN);
+ if (! (mpfr_zero_p (y) && MPFR_SIGN (y) > 0))
+ {
+ printf ("Error: coth(+0) != +0\n");
+ exit (1);
+ }
+ mpfr_neg (x, x, GMP_RNDN);
+ mpfr_coth (y, x, GMP_RNDN);
+ if (! (mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
+ {
+ printf ("Error: coth(-0) != -0\n");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static void
+check_bugs (void)
+{
+ mpfr_t x, y;
+
+ mpfr_init (x);
+ mpfr_init (y);
+
+ /* bug found by Rob (Sisyphus) on 16 Sep 2005 */
+ mpfr_set_ui (x, 2, GMP_RNDN);
+ mpfr_set_prec (y, 2);
+ mpfr_coth (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 1))
+ {
+ printf ("Error for coth(2), expected 1, got ");
+ mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+
+ mpfr_set_str (x, "18.368400284838550", 10, GMP_RNDN);
+ mpfr_set_str (y, "1.0000000000000002", 10, GMP_RNDN);
+ mpfr_coth (x, x, GMP_RNDN);
+ if (mpfr_cmp (x, y) != 0)
+ {
+ printf ("Error for coth(18.368400284838550)\n");
+ exit (1);
+ }
+
+ mpfr_set_str (x, "18.714973875118520", 10, GMP_RNDN);
+ mpfr_coth (x, x, GMP_RNDN);
+ if (mpfr_cmp (x, y) != 0)
+ {
+ printf ("Error for coth(18.714973875118520)\n");
+ exit (1);
+ }
+
+ mpfr_set_str (x, "18.714973875118524", 10, GMP_RNDN);
+ mpfr_coth (x, x, GMP_RNDN);
+ if (mpfr_cmp_ui (x, 1) != 0)
+ {
+ printf ("Error for coth(18.714973875118524)\n");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static void
+underflowed_cothinf (void)
+{
+ mpfr_t x, y;
+ int i, inex, rnd, err = 0;
+ mp_exp_t old_emin;
+
+ old_emin = mpfr_get_emin ();
+
+ mpfr_init2 (x, 8);
+ mpfr_init2 (y, 8);
+
+ for (i = -1; i <= 1; i += 2)
+ RND_LOOP (rnd)
+ {
+ mpfr_set_inf (x, i);
+ mpfr_clear_flags ();
+ set_emin (2); /* 1 is not representable. */
+ inex = mpfr_coth (x, x, (mp_rnd_t) rnd);
+ set_emin (old_emin);
+ if (! mpfr_underflow_p ())
+ {
+ printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n"
+ " The underflow flag is not set.\n",
+ i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ mpfr_set_si (y, (i < 0 && rnd == GMP_RNDD) ||
+ (i > 0 && rnd == GMP_RNDU) ? 2 : 0, GMP_RNDN);
+ if (i < 0)
+ mpfr_neg (y, y, GMP_RNDN);
+ if (! (mpfr_equal_p (x, y) &&
+ MPFR_MULT_SIGN (MPFR_SIGN (x), MPFR_SIGN (y)) > 0))
+ {
+ printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n"
+ " Got ", i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (x);
+ printf (" instead of ");
+ mpfr_print_binary (y);
+ printf (".\n");
+ err = 1;
+ }
+ if ((rnd == GMP_RNDD ||
+ (i > 0 && (rnd == GMP_RNDN || rnd == GMP_RNDZ))) && inex >= 0)
+ {
+ printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n"
+ " The inexact value must be negative.\n",
+ i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if ((rnd == GMP_RNDU ||
+ (i < 0 && (rnd == GMP_RNDN || rnd == GMP_RNDZ))) && inex <= 0)
+ {
+ printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n"
+ " The inexact value must be positive.\n",
+ i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ }
+
+ if (err)
+ exit (1);
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+int
+main (int argc, char *argv[])
+{
+ tests_start_mpfr ();
+
+ check_specials ();
+ check_bugs ();
+ test_generic (2, 200, 10);
+ underflowed_cothinf ();
+
+ tests_end_mpfr ();
+ return 0;
+}