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/* tj0 -- test file for the Bessel function of first kind (order 0)
Copyright 2007-2016 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
http://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_j0
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS)
#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
#include "tgeneric.c"
int
main (int argc, char *argv[])
{
mpfr_t x, y;
int inex;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
/* special values */
mpfr_set_nan (x);
mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_inf (x, -1); /* -Inf */
mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN); /* -0 */
mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_j0 (y, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_j0 for x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_j0 (y, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_j0 for x=-1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
/* Bug reported on 2007-07-03 by Sisyphus (assertion failed in r4619) */
mpfr_set_si (x, 70000, MPFR_RNDN);
mpfr_j0 (y, x, MPFR_RNDN);
/* Bug reported by Kevin Rauch on 27 Oct 2007 */
mpfr_set_prec (x, 7);
mpfr_set_prec (y, 7);
mpfr_set_si (x, -100, MPFR_RNDN);
mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_ui_2exp (y, 41, -11) == 0);
/* Bug reported by Fredrik Johansson on 19 Jan 2016 */
mpfr_set_prec (x, 53);
mpfr_set_str (x, "0x4.3328p+0", 0, MPFR_RNDN);
mpfr_set_prec (y, 2);
mpfr_j0 (y, x, MPFR_RNDD);
/* y should be -0.5 */
MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_si_2exp (y, -1, -1) == 0);
mpfr_set_prec (y, 3);
mpfr_j0 (y, x, MPFR_RNDD);
/* y should be -0.4375 */
MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_si_2exp (y, -7, -4) == 0);
/* Case for which s = 0 in mpfr_jn */
mpfr_set_prec (x, 44);
mpfr_set_prec (y, 44);
mpfr_set_si (x, 2, MPFR_RNDN);
mpfr_clear_flags ();
inex = mpfr_j0 (y, x, MPFR_RNDN);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT);
mpfr_set_str (x, "0x.e5439fd9267p-2", 0, MPFR_RNDN);
if (! mpfr_equal_p (y, x))
{
printf ("Error on 2:\n");
printf ("Expected ");
mpfr_dump (x);
printf ("Got ");
mpfr_dump (y);
exit (1);
}
if (inex >= 0)
{
printf ("Bad ternary value on 2: expected negative, got %d\n", inex);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
test_generic (MPFR_PREC_MIN, 100, 10);
data_check ("data/j0", mpfr_j0, "mpfr_j0");
tests_end_mpfr ();
return 0;
}
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