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/* tj1 -- test file for the Bessel function of first kind (order 1)
Copyright 2007-2019 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_j1
#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"
/* test for small input, where j1(x) = x/2 - x^3/16 + ... */
static void
test_small (void)
{
mpfr_t x, y;
int inex, sign;
mpfr_exp_t e, emin;
mpfr_init2 (x, 10);
mpfr_init2 (y, 9);
emin = mpfr_get_emin ();
for (e = -4; e >= -30; e--)
{
if (e == -30)
{
e = mpfr_get_emin_min () - 1;
mpfr_set_emin (e + 1);
}
for (sign = -1; sign <= 1; sign += 2)
{
mpfr_set_si_2exp (x, sign, e, MPFR_RNDN);
mpfr_nexttoinf (x);
inex = mpfr_j1 (y, x, MPFR_RNDN);
if (e >= -29)
{
/* since |x| is just above 2^e, |j1(x)| is just above 2^(e-1),
thus y should be 2^(e-1) and the inexact flag should be
of opposite sign of x */
MPFR_ASSERTN(mpfr_cmp_si_2exp (y, sign, e - 1) == 0);
MPFR_ASSERTN(VSIGN (inex) * sign < 0);
}
else
{
/* here |y| should be 0.5*2^emin and the inexact flag should
have the sign of x */
MPFR_ASSERTN(mpfr_cmp_si_2exp (y, sign, e) == 0);
MPFR_ASSERTN(VSIGN (inex) * sign > 0);
}
}
}
mpfr_set_emin (emin);
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
tests_start_mpfr ();
test_small ();
mpfr_init (x);
mpfr_init (y);
/* special values */
mpfr_set_nan (x);
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_inf (x, -1); /* -Inf */
mpfr_j1 (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_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j1(+0)=+0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN); /* -0 */
mpfr_j1 (y, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j1(-0)=-0 */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_j1 (y, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.0111000010100111001001111011101001011100001100011011");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_j1 for x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
test_generic (MPFR_PREC_MIN, 100, 10);
data_check ("data/j1", mpfr_j1, "mpfr_j1");
tests_end_mpfr ();
return 0;
}
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