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/* Test file for mpfr_round_nearest_away.
Copyright 2012-2025 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"
static void
test_special (void)
{
mpfr_t x, y;
int inex;
mpfr_init2 (x, MPFR_PREC_MIN);
mpfr_init2 (y, MPFR_PREC_MIN);
mpfr_set_nan (x);
inex = mpfr_round_nearest_away (mpfr_sin, y, x);
if (inex != 0)
{
printf ("Wrong ternary value for sin(NaN)\n");
exit (1);
}
if (mpfr_nan_p (y) == 0)
{
printf ("Wrong output for sin(NaN)\n");
exit (1);
}
mpfr_set_inf (x, 1);
inex = mpfr_round_nearest_away (mpfr_exp, y, x);
if (inex != 0)
{
printf ("Wrong ternary value for exp(+Inf)\n");
printf ("expected 0, got %d\n", inex);
exit (1);
}
if (mpfr_inf_p (y) == 0 || mpfr_sgn (y) <= 0)
{
printf ("Wrong output for exp(+Inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
inex = mpfr_round_nearest_away (mpfr_cbrt, y, x);
if (inex != 0)
{
printf ("Wrong ternary value for cbrt(-Inf)\n");
exit (1);
}
if (mpfr_inf_p (y) == 0 || mpfr_sgn (y) >= 0)
{
printf ("Wrong output for cbrt(-Inf)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
test_nonspecial (void)
{
mpfr_t x, y;
int inex;
mpfr_init2 (x, 10);
mpfr_init2 (y, 10);
/* case where the computation on n+1 bits ends with a '0' */
mpfr_set_ui (x, 2, MPFR_RNDN);
inex = mpfr_round_nearest_away (mpfr_sin, y, x);
if (inex >= 0)
{
printf ("Wrong ternary value for sin(2)\n");
exit (1);
}
if (mpfr_cmp_ui_2exp (y, 931, -10) != 0)
{
printf ("Wrong output for sin(2)\n");
exit (1);
}
/* case where the computation on n+1 bits ends with a '1' and is exact */
mpfr_set_ui (x, 37, MPFR_RNDN);
inex = mpfr_round_nearest_away (mpfr_sqr, y, x);
if (inex <= 0)
{
printf ("Wrong ternary value for sqr(37)\n");
exit (1);
}
if (mpfr_cmp_ui (y, 1370) != 0)
{
printf ("Wrong output for sqr(37)\n");
exit (1);
}
/* case where the computation on n+1 bits ends with a '1' but is inexact */
mpfr_set_ui (x, 91, MPFR_RNDN);
inex = mpfr_round_nearest_away (mpfr_sqr, y, x);
if (inex <= 0)
{
printf ("Wrong ternary value for sqr(91)\n");
exit (1);
}
if (mpfr_cmp_ui (y, 8288) != 0)
{
printf ("Wrong output for sqr(91)\n");
exit (1);
}
mpfr_set_ui (x, 131, MPFR_RNDN);
inex = mpfr_round_nearest_away (mpfr_sqr, y, x);
if (inex >= 0)
{
printf ("Wrong ternary value for sqr(131)\n");
exit (1);
}
if (mpfr_cmp_ui (y, 17152) != 0)
{
printf ("Wrong output for sqr(131)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
mpfr_exp_t emin;
tests_start_mpfr ();
/* mpfr_round_nearest_away requires emin is not the smallest possible */
if ((emin = mpfr_get_emin ()) == mpfr_get_emin_min ())
set_emin (mpfr_get_emin_min () + 1);
test_special ();
test_nonspecial ();
set_emin (emin);
tests_end_mpfr ();
return 0;
}
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