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/* Test file for mpfr_sinh.
Copyright 2001-2002, 2004, 2006-2020 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_sinh
#define TEST_RANDOM_EMIN -36
#define TEST_RANDOM_EMAX 36
#include "tgeneric.c"
static void
special (void)
{
mpfr_t x;
int i;
mpfr_init (x);
mpfr_set_nan (x);
mpfr_sinh (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_set_inf (x, 1);
mpfr_sinh (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
mpfr_set_inf (x, -1);
mpfr_sinh (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
mpfr_set_prec (x, 10);
mpfr_set_str_binary (x, "-0.1001011001");
mpfr_sinh (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_si_2exp (x, -159, -8) == 0);
/* corner case */
mpfr_set_prec (x, 2);
mpfr_set_str_binary (x, "1E-6");
mpfr_sinh (x, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui_2exp (x, 1, -6) == 0);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1E1000000000");
i = mpfr_sinh (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_sinh (x, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_NEG (x));
MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == -1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1E1000000000");
i = mpfr_sinh (x, x, MPFR_RNDD);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_NEG (x));
MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == -1);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1E1000000000");
i = mpfr_sinh (x, x, MPFR_RNDU);
MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_IS_NEG (x));
MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
MPFR_ASSERTN (i == 1);
mpfr_clear (x);
}
/* exercise mpfr_sinh near the overflow limit */
static void
coverage (void)
{
#if _MPFR_EXP_FORMAT >= 3 && ULONG_MAX == 0xffffffffffffffff
mpfr_t x, y;
int inex;
mpfr_exp_t emax;
emax = mpfr_get_emax ();
mpfr_init2 (x, 64);
mpfr_init2 (y, 64);
MPFR_ASSERTN(mpfr_get_emax_max () == 4611686018427387903UL); /* 2^62-1 */
mpfr_set_emax (mpfr_get_emax_max ());
mpfr_set_ui (x, 3196577161300663915UL, MPFR_RNDN);
mpfr_clear_overflow ();
/* exp(x) overflows, cosh(x/2)*sinh(x/2) does not overflow,
but 2*cosh(x/2)*sinh(x/2) overflows */
inex = mpfr_sinh (y, x, MPFR_RNDZ);
MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 18446744073709551615UL, 4611686018427387839UL) == 0);
MPFR_ASSERTN(inex < 0);
MPFR_ASSERTN(mpfr_overflow_p ());
mpfr_set_prec (x, 65);
mpfr_set_str (x, "3196577161300663914.5", 10, MPFR_RNDN);
mpfr_clear_overflow ();
/* exp(x) overflows, cosh(x/2)*sinh(x/2) does not overflow,
and 2*cosh(x/2)*sinh(x/2) does not overflow */
inex = mpfr_sinh (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 11795642775994293059UL, 4611686018427387839UL) == 0);
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(!mpfr_overflow_p ());
mpfr_clear (x);
mpfr_clear (y);
mpfr_set_emax (emax);
#endif
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
coverage ();
special ();
test_generic (MPFR_PREC_MIN, 100, 100);
data_check ("data/sinh", mpfr_sinh, "mpfr_sinh");
bad_cases (mpfr_sinh, mpfr_asinh, "mpfr_sinh", 256, -256, 255,
4, 128, 800, 100);
tests_end_mpfr ();
return 0;
}
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