/* Test file for mpfr_sinh. Copyright 2001-2002, 2004, 2006-2021 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 */ 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); 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; }