buildtools/gcc/mpfr/tests/tj0.c

/* tj0 -- test file for the Bessel function of first kind (order 0)

Copyright 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
Contributed by the AriC and Caramel 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 "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);

  /* 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 (2, 100, 10);

  data_check ("data/j0", mpfr_j0, "mpfr_j0");

  tests_end_mpfr ();

  return 0;
}