gcc/mpfr/tests/tacos.c

/* Test file for mpfr_acos.

Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
Contributed by Mathieu Dutour.

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 2.1 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.LIB.  If not, 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_acos
#include "tgeneric.c"

static void
special (void)
{
  mpfr_t x, y;
  int inex1, inex2;

  mpfr_init2 (x, 32);
  mpfr_init2 (y, 32);

  mpfr_set_str_binary (x, "0.10001000001001011000100001E-6");
  mpfr_acos (y, x, GMP_RNDN);
  mpfr_set_str_binary (x, "1.10001111111111110001110110001");
  if (mpfr_cmp (x, y))
    {
      printf ("Error in mpfr_acos (1)\n");
      exit (1);
    }

  mpfr_set_str_binary (x, "-0.01101011110111100111010011001011");
  mpfr_acos (y, x, GMP_RNDZ);
  mpfr_set_str_binary (x, "10.0000000101111000011101000101");
  if (mpfr_cmp (x, y))
    {
      printf ("Error in mpfr_acos (2)\n");
      mpfr_print_binary (y); printf ("\n");
      exit (1);
    }

  mpfr_set_prec (x, 2);
  mpfr_set_ui (x, 0, GMP_RNDN);
  inex1 = mpfr_acos (x, x, GMP_RNDN); /* Pi/2 */
  inex2 = mpfr_const_pi (x, GMP_RNDN);
  if (inex1 != inex2)
    {
      printf ("Error in mpfr_acos (3) for prec=2\n");
      exit (1);
    }

  mpfr_clear (y);
  mpfr_clear (x);
}

static void
special_overflow (void)
{
  mpfr_t x, y;
  mp_exp_t emin, emax;

  emin = mpfr_get_emin ();
  emax = mpfr_get_emax ();

  set_emin (-125);
  set_emax (128);
  mpfr_init2 (x, 24);
  mpfr_init2 (y, 48);
  mpfr_set_str_binary (x, "0.101100100000000000110100E0");
  mpfr_acos (y, x, GMP_RNDN);
  if (mpfr_cmp_str (y, "0.110011010100101111000100111010111011010000001001E0",
                    2, GMP_RNDN))
    {
      printf("Special Overflow error.\n");
      mpfr_dump (y);
      exit (1);
    }
  mpfr_clear (y);
  mpfr_clear (x);
  set_emin (emin);
  set_emax (emax);
}

int
main (void)
{
  mpfr_t x, y;
  int r;

  tests_start_mpfr ();

  special_overflow ();
  special ();

  mpfr_init (x);
  mpfr_init (y);

  MPFR_SET_NAN(x);
  mpfr_acos (y, x, GMP_RNDN);
  if (mpfr_nan_p(y) == 0)
    {
      printf ("Error: acos(NaN) != NaN\n");
      exit (1);
    }

  mpfr_set_ui (x, 2, GMP_RNDN);
  mpfr_acos (y, x, GMP_RNDN);
  if (mpfr_nan_p(y) == 0)
    {
      printf ("Error: acos(2) != NaN\n");
      exit (1);
    }

  mpfr_set_si (x, -2, GMP_RNDN);
  mpfr_acos (y, x, GMP_RNDN);
  if (mpfr_nan_p(y) == 0)
    {
      printf ("Error: acos(-2) != NaN\n");
      exit (1);
    }

  /* acos (1) = 0 */
  mpfr_set_ui (x, 1, GMP_RNDN);
  mpfr_acos (y, x, GMP_RNDN);
  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
    {
      printf ("Error: acos(1) != +0.0\n");
      exit (1);
    }

  /* acos (0) = Pi/2 */
  for (r = 0; r < GMP_RND_MAX; r++)
    {
      mpfr_set_ui (x, 0, GMP_RNDN); /* exact */
      mpfr_acos (y, x, (mp_rnd_t) r);
      mpfr_const_pi (x, (mp_rnd_t) r);
      mpfr_div_2exp (x, x, 1, GMP_RNDN); /* exact */
      if (mpfr_cmp (x, y))
        {
          printf ("Error: acos(0) != Pi/2 for rnd=%s\n",
                  mpfr_print_rnd_mode ((mp_rnd_t) r));
          exit (1);
        }
    }

  /* acos (-1) = Pi */
  for (r = 0; r < GMP_RND_MAX; r++)
    {
      mpfr_set_si (x, -1, GMP_RNDN); /* exact */
      mpfr_acos (y, x, (mp_rnd_t) r);
      mpfr_const_pi (x, (mp_rnd_t) r);
      if (mpfr_cmp (x, y))
        {
          printf ("Error: acos(1) != Pi for rnd=%s\n",
                  mpfr_print_rnd_mode ((mp_rnd_t) r));
          exit (1);
        }
    }

  test_generic (2, 100, 7);

  mpfr_clear (x);
  mpfr_clear (y);

  data_check ("data/acos", mpfr_acos, "mpfr_acos");
  bad_cases (mpfr_acos, mpfr_cos, "mpfr_acos", 0, -40, 2, 4, 128, 800, 30);

  tests_end_mpfr ();
  return 0;
}