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/* Test file for mpfr_cosh.
Copyright 2001-2002, 2004-2020 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_cosh
#define TEST_RANDOM_EMIN -36
#define TEST_RANDOM_EMAX 36
#include "tgeneric.c"
static void
special (void)
{
mpfr_t x, y;
int i;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
mpfr_cosh (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error: cosh(NaN) != NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_cosh (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error: cosh(+Inf) != +Inf\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_cosh (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error: cosh(-Inf) != +Inf\n");
exit (1);
}
/* cosh(+/-0) = 1 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_cosh (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error: cosh(+0) != 1\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
mpfr_cosh (y, x, MPFR_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error: cosh(-0) != 1\n");
exit (1);
}
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_str_binary (x, "0.1101110111111111001011101000101");
mpfr_set_str_binary (y, "1.0110011001110000101100011001001");
mpfr_cosh (x, x, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error: mpfr_cosh for prec=32 (1)\n");
exit (1);
}
mpfr_set_str_binary (x, "-0.1110111000011101010111100000101E-1");
mpfr_set_str_binary (y, "1.0001110000101111111111100110101");
mpfr_cosh (x, x, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Error: mpfr_cosh for prec=32 (2)\n");
exit (1);
}
mpfr_set_prec (x, 2);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1E1000000000");
i = mpfr_cosh (x, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (mpfr_overflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1E1000000000");
i = mpfr_cosh (x, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1E1000000000");
i = mpfr_cosh (x, x, MPFR_RNDD);
MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == -1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1E1000000000");
i = mpfr_cosh (x, x, MPFR_RNDU);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear (x);
mpfr_clear (y);
}
static void
special_overflow (void)
{
/* Check for overflow in 3 cases:
1. cosh(x) is representable, but not exp(x)
2. cosh(x) is not representable in the selected range of exp.
3. cosh(x) exp overflow even with the largest range of exp */
mpfr_t x, y;
mpfr_exp_t emin, emax;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
set_emin (-125);
set_emax (128);
mpfr_init2 (x, 24);
mpfr_init2 (y, 24);
mpfr_set_str_binary (x, "0.101100100000000000110100E7");
mpfr_cosh (y, x, MPFR_RNDN);
if (mpfr_cmp_str (y, "0.101010001111001010001110E128", 2, MPFR_RNDN))
{
printf("Special overflow error 1.\n");
mpfr_dump (y);
exit (1);
}
mpfr_set_str_binary (x, "0.101100100000000000110100E8");
mpfr_cosh (y, x, MPFR_RNDN);
if (!mpfr_inf_p(y))
{
printf("Special overflow error 2.\n");
mpfr_dump (y);
exit (1);
}
set_emin (emin);
set_emax (emax);
mpfr_set_str_binary (x, "0.101100100000000000110100E1000000");
mpfr_cosh (y, x, MPFR_RNDN);
if (!mpfr_inf_p(y))
{
printf("Special overflow error 3.\n");
mpfr_dump (y);
exit (1);
}
mpfr_clear (y);
mpfr_clear (x);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special_overflow ();
special ();
test_generic (MPFR_PREC_MIN, 100, 100);
data_check ("data/cosh", mpfr_cosh, "mpfr_cosh");
bad_cases (mpfr_cosh, mpfr_acosh, "mpfr_cosh", 0, 1, 255, 4, 128, 800, 100);
tests_end_mpfr ();
return 0;
}
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