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/* Test file for mpfr_sech.
Copyright 2005-2020 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"
#define TEST_FUNCTION mpfr_sech
#define TEST_RANDOM_EMIN -64
#define TEST_RANDOM_EMAX 36
#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_sech (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: sech(NaN) != NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_sech (y, x, MPFR_RNDN);
if (! (MPFR_IS_ZERO (y) && MPFR_IS_POS (y)))
{
printf ("Error: sech(+Inf) != +0\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_sech (y, x, MPFR_RNDN);
if (! (MPFR_IS_ZERO (y) && MPFR_IS_POS (y)))
{
printf ("Error: sech(-Inf) != +0\n");
exit (1);
}
/* sec(+/-0) = 1 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_sech (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error: sech(+0) != 1\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
mpfr_sech (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error: sech(-0) != 1\n");
exit (1);
}
/* check huge x */
mpfr_set_str (x, "8e8", 10, MPFR_RNDN);
mpfr_sech (y, x, MPFR_RNDN);
if (! (mpfr_zero_p (y) && MPFR_IS_POS (y)))
{
printf ("Error: sech(8e8) != +0\n");
exit (1);
}
mpfr_set_str (x, "-8e8", 10, MPFR_RNDN);
mpfr_sech (y, x, MPFR_RNDN);
if (! (mpfr_zero_p (y) && MPFR_IS_POS (y)))
{
printf ("Error: sech(-8e8) != +0\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
overflowed_sech0 (void)
{
mpfr_t x, y;
int emax, i, inex, rnd, err = 0;
mpfr_exp_t old_emax;
old_emax = mpfr_get_emax ();
mpfr_init2 (x, 8);
mpfr_init2 (y, 8);
for (emax = -1; emax <= 0; emax++)
{
mpfr_set_ui_2exp (y, 1, emax, MPFR_RNDN);
mpfr_nextbelow (y);
set_emax (emax); /* 1 is not representable. */
/* and if emax < 0, 1 - eps is not representable either. */
for (i = -1; i <= 1; i++)
RND_LOOP_NO_RNDF (rnd)
{
mpfr_set_si_2exp (x, i, -512 * ABS (i), MPFR_RNDN);
mpfr_clear_flags ();
inex = mpfr_sech (x, x, (mpfr_rnd_t) rnd);
if ((i == 0 || emax < 0 || rnd == MPFR_RNDN || rnd == MPFR_RNDU) &&
! mpfr_overflow_p ())
{
printf ("Error in overflowed_sech0 (i = %d, rnd = %s):\n"
" The overflow flag is not set.\n",
i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
err = 1;
}
if (rnd == MPFR_RNDZ || rnd == MPFR_RNDD)
{
if (inex >= 0)
{
printf ("Error in overflowed_sech0 (i = %d, rnd = %s):\n"
" The inexact value must be negative.\n",
i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
err = 1;
}
if (! mpfr_equal_p (x, y))
{
printf ("Error in overflowed_sech0 (i = %d, rnd = %s):\n"
" Got ", i,
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
mpfr_dump (x);
printf (" instead of 0.11111111E%d.\n", emax);
err = 1;
}
}
else
{
if (inex <= 0)
{
printf ("Error in overflowed_sech0 (i = %d, rnd = %s):\n"
" The inexact value must be positive.\n",
i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
err = 1;
}
if (! (mpfr_inf_p (x) && MPFR_IS_POS (x)))
{
printf ("Error in overflowed_sech0 (i = %d, rnd = %s):\n"
" Got ", i,
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
mpfr_dump (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[])
{
tests_start_mpfr ();
check_specials ();
test_generic (MPFR_PREC_MIN, 200, 10);
overflowed_sech0 ();
tests_end_mpfr ();
return 0;
}
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