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/* Test file for mpfr_expm1.
Copyright 2001-2025 Free Software Foundation, Inc.
Contributed by the Pascaline 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/>. */
#include "mpfr-test.h"
#ifdef CHECK_EXTERNAL
static int
test_expm1 (mpfr_ptr a, mpfr_srcptr b, mpfr_rnd_t rnd_mode)
{
int res;
int ok = rnd_mode == MPFR_RNDN && mpfr_number_p (b) && mpfr_get_prec (a)>=53;
if (ok)
{
mpfr_print_raw (b);
}
res = mpfr_expm1 (a, b, rnd_mode);
if (ok)
{
printf (" ");
mpfr_print_raw (a);
printf ("\n");
}
return res;
}
#else
#define test_expm1 mpfr_expm1
#endif
#define TEST_FUNCTION test_expm1
#define TEST_RANDOM_EMIN -36
#define TEST_RANDOM_EMAX 36
#include "tgeneric.c"
static void
special (void)
{
mpfr_t x, y;
int inex;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
test_expm1 (y, x, MPFR_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for expm1(NaN)\n");
exit (1);
}
mpfr_set_inf (x, 1);
test_expm1 (y, x, MPFR_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for expm1(+Inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
test_expm1 (y, x, MPFR_RNDN);
if (mpfr_cmp_si (y, -1))
{
printf ("Error for expm1(-Inf)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
test_expm1 (y, x, MPFR_RNDN);
if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
{
printf ("Error for expm1(+0)\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
test_expm1 (y, x, MPFR_RNDN);
if (MPFR_NOTZERO (y) || MPFR_IS_POS (y))
{
printf ("Error for expm1(-0)\n");
exit (1);
}
/* Check overflow of expm1(x) */
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDN);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (__gmpfr_flags == (MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (inex > 0);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDU);
MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (__gmpfr_flags == (MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (inex > 0);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDD);
MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_IS_POS (x));
MPFR_ASSERTN (__gmpfr_flags == (MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (inex < 0);
/* Check internal underflow of expm1 (x) */
mpfr_set_prec (x, 2);
mpfr_clear_flags ();
mpfr_set_str_binary (x, "-1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si0 (x, -1) == 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
MPFR_ASSERTN (inex < 0);
mpfr_set_str_binary (x, "-1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDD);
MPFR_ASSERTN (mpfr_cmp_si0 (x, -1) == 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
MPFR_ASSERTN (inex < 0);
mpfr_set_str_binary (x, "-1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDZ);
MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, MPFR_RNDN) == 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
MPFR_ASSERTN (inex > 0);
mpfr_set_str_binary (x, "-1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDU);
MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, MPFR_RNDN) == 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
MPFR_ASSERTN (inex > 0);
mpfr_set_str_binary (x, "-1.1E1000000000");
inex = test_expm1 (x, x, MPFR_RNDA);
MPFR_ASSERTN (mpfr_cmp_si0 (x, -1) == 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
MPFR_ASSERTN (inex < 0);
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special ();
test_generic (MPFR_PREC_MIN, 100, 100);
data_check ("data/expm1", mpfr_expm1, "mpfr_expm1");
bad_cases (mpfr_expm1, mpfr_log1p, "mpfr_expm1", 64, -256, 255,
4, 128, 800, 80);
tests_end_mpfr ();
return 0;
}
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