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/* Test file for mpfr_nextabove, mpfr_nextbelow, mpfr_nexttoward.
Copyright 2003-2021 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"
/* Generic tests for mpfr_nextabove and mpfr_nextbelow */
static void
generic_abovebelow (void)
{
int i;
for (i = 0; i < 20000; i++)
{
mpfr_t x, y, z, t;
mpfr_prec_t prec;
int neg, below;
prec = (randlimb () % 300) + MPFR_PREC_MIN;
mpfr_inits2 (prec, x, y, z, (mpfr_ptr) 0);
mpfr_init2 (t, 3);
/* special tests (executed once is enough) */
if (i == 0)
{
mpfr_set_nan (x);
mpfr_nextabove (x);
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_nextbelow (x);
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_nexttoward (x, y);
MPFR_ASSERTN(mpfr_nan_p (x));
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_nexttoward (y, x);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_nexttoward (x, y);
MPFR_ASSERTN(mpfr_cmp_ui (x, 1) == 0);
}
do
mpfr_urandomb (x, RANDS);
while (mpfr_cmp_ui (x, 0) == 0);
neg = randlimb () & 1;
if (neg)
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set (y, x, MPFR_RNDN);
below = randlimb () & 1;
if (below)
mpfr_nextbelow (y);
else
mpfr_nextabove (y);
mpfr_set_si (t, below ? -5 : 5, MPFR_RNDN);
mpfr_mul_2si (t, t, (mpfr_get_exp) (x) - prec - 3, MPFR_RNDN);
/* t = (1/2 + 1/8) ulp(x) */
mpfr_add (z, x, t, MPFR_RNDN);
if (!mpfr_number_p (y) || mpfr_cmp (y, z) != 0)
{
printf ("Error in mpfr_next%s for\n",
below ? "below" : "above");
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf (", got\n");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf (" instead of\n");
mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clears (x, y, z, t, (mpfr_ptr) 0);
}
}
static void
inverse_test (void)
{
static const char *tests[] = { "0", "1", "2", "3.1", "Inf" };
int i, neg, below;
mpfr_prec_t prec;
for (i = 0; i < numberof (tests); i++)
for (neg = 0; neg <= 1; neg++)
for (below = 0; below <= 1; below++)
for (prec = MPFR_PREC_MIN; prec < 200; prec += 3)
{
mpfr_t x, y;
int sign;
mpfr_inits2 (prec, x, y, (mpfr_ptr) 0);
mpfr_set_str (x, tests[i], 10, MPFR_RNDN);
if (neg)
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set (y, x, MPFR_RNDN);
if (below)
mpfr_nextbelow (y);
else
mpfr_nextabove (y);
sign = MPFR_SIGN (y);
if (!(neg == below && mpfr_inf_p (x))) /* then x = y */
{
if (mpfr_cmp (x, y) == 0)
{
printf ("Error in inverse_test for %s, neg = %d,"
" below = %d, prec = %d: x = y", tests[i],
neg, below, (int) prec);
printf ("\nx = ");
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf ("\ny = ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_nexttoward (y, x);
if (mpfr_cmp_ui (y, 0) == 0 && MPFR_SIGN (y) != sign)
{
printf ("Sign error in inverse_test for %s, neg = %d,"
" below = %d, prec = %d\n", tests[i], neg,
below, (int) prec);
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf ("\n");
exit (1);
}
}
if (mpfr_cmp (x, y) != 0)
{
printf ("Error in inverse_test for %s, neg = %d, below = %d,"
" prec = %d", tests[i], neg, below, (int) prec);
printf ("\nx = ");
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf ("\ny = ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clears (x, y, (mpfr_ptr) 0);
}
}
int
main (void)
{
tests_start_mpfr ();
generic_abovebelow ();
inverse_test ();
tests_end_mpfr ();
return 0;
}
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