/* tjn -- test file for the Bessel function of first kind
Copyright 2007-2017 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 <stdio.h>
#include <stdlib.h>
#include <limits.h> /* for LONG_MAX */
#include "mpfr-test.h"
int
main (int argc, char *argv[])
{
mpfr_t x, y;
long n;
if (argc > 1)
{
mpfr_init2 (x, atoi (argv[1]));
mpfr_set_str (x, argv[3], 10, MPFR_RNDN);
mpfr_jn (x, atoi (argv[2]), x, MPFR_RNDN);
mpfr_out_str (stdout, 10, 10, x, MPFR_RNDN);
printf ("\n");
mpfr_clear (x);
return 0;
}
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
/* special values */
mpfr_set_nan (x);
mpfr_jn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_jn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_inf (x, -1); /* -Inf */
mpfr_jn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
mpfr_jn (y, 0, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */
mpfr_jn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j17(+0)=+0 */
mpfr_jn (y, -17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j-17(+0)=-0 */
mpfr_jn (y, 42, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j42(+0)=+0 */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN); /* -0 */
mpfr_jn (y, 0, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */
mpfr_jn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j17(-0)=-0 */
mpfr_jn (y, -17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j-17(-0)=+0 */
mpfr_jn (y, 42, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j42(-0)=+0 */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_jn (y, 0, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=0, 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_jn (y, 0, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=0, x=-1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_jn (y, 1, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.0111000010100111001001111011101001011100001100011011");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=1, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_jn (y, 17, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.1100011111001010101001001001000110110000010001011E-65");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=17, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_jn (y, 42, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=42, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_jn (y, -42, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=-42, 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_jn (y, 42, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=42, 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_jn (y, -42, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=-42, x=-1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 4, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-0.0001110001011001100010100111100111100000111110111011111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=4, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 16, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.0011101111100111101111010100000111111001111001001010011");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=16, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 256, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.11111101111100110000000010111101101011101011110001011E-894");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=256, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 65536, x, MPFR_RNDN);
mpfr_set_str_binary (x, "100010010010011010110101100001000100011100010111011E-751747");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=65536, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 131072, x, MPFR_RNDN);
mpfr_set_str_binary (x, "1000001001110011111001110110000010011010000001001101E-1634508");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=131072, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 262144, x, MPFR_RNDN);
mpfr_set_str_binary (x, "1010011011000100111011001011110001000010000010111111E-3531100");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=262144, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, 524288, x, MPFR_RNDN);
mpfr_set_str_binary (x, "110000001010001111011011000011001011010100010001011E-7586426");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=524288, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
n = LONG_MAX;
/* ensures n is odd */
if (n % 2 == 0)
n --;
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, n, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=%ld, x=17, rnd=MPFR_RNDN\n", n);
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_si (x, -17, MPFR_RNDN);
mpfr_jn (y, n, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-0.0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=%ld, x=-17, rnd=MPFR_RNDN\n", n);
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_jn (y, -n, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-0.0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=%ld, x=17, rnd=MPFR_RNDN\n", -n);
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_si (x, -17, MPFR_RNDN);
mpfr_jn (y, -n, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.0");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_jn for n=%ld, x=-17, rnd=MPFR_RNDN\n", -n);
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
tests_end_mpfr ();
return 0;
}