mpfr-2.4.1/tests/tacosh.c

/* Test file for mpfr_acosh.

Copyright 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao 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 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_acosh
#define TEST_RANDOM_POS 4
#define TEST_RANDOM_EMIN 1
#include "tgeneric.c"

#define TEST_FUNCTION mpfr_acosh
#define TEST_RANDOM_POS 1
#define TEST_RANDOM_EMIN MPFR_EMAX_MAX
#define TEST_RANDOM_EMAX MPFR_EMAX_MAX
#define test_generic test_generic_huge
#include "tgeneric.c"

static void
special (void)
{
  mpfr_t x, y;

  mpfr_init (x);
  mpfr_init (y);

  MPFR_SET_INF(x);
  mpfr_set_ui (y, 1, GMP_RNDN);
  mpfr_acosh (x, y, GMP_RNDN);
  if (MPFR_IS_INF(x) || MPFR_IS_NAN(x) )
    {
      printf ("Inf flag not clears in acosh!\n");
      exit (1);
    }
  if (mpfr_cmp_ui (x, 0))
    {
      printf ("Error: mpfr_acosh(1) <> 0\n");
      exit (1);
    }

  MPFR_SET_NAN(x);
  mpfr_acosh (x, y, GMP_RNDN);
  if (MPFR_IS_NAN(x) || MPFR_IS_INF(x) )
    {
      printf ("NAN flag not clears in acosh!\n");
      exit (1);
    }

  mpfr_set_ui (x, 0, GMP_RNDN);
  mpfr_acosh (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_acosh(0) <> NaN\n");
      exit (1);
    }

  mpfr_set_si (x, -1, GMP_RNDN);
  mpfr_acosh (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_acosh(-1) <> NaN\n");
      exit (1);
    }

  MPFR_SET_NAN(x);
  mpfr_acosh (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_acosh(NaN) <> NaN\n");
      exit (1);
    }

  mpfr_set_inf (x, 1);
  mpfr_acosh (y, x, GMP_RNDN);
  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
    {
      printf ("Error: mpfr_acosh(+Inf) <> +Inf\n");
      exit (1);
    }

  mpfr_set_inf (x, -1);
  mpfr_acosh (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_acosh(-Inf) <> NaN\n");
      exit (1);
    }

  mpfr_set_ui (x, 1, GMP_RNDN);
  mpfr_div_2exp (x, x, 1, GMP_RNDN);
  mpfr_acosh (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_acosh(1/2) <> NaN\n");
      exit (1);
    }

  mpfr_set_prec (x, 32);
  mpfr_set_prec (y, 32);
  mpfr_set_str_binary (x, "1.000001101011101111001011");
  mpfr_acosh (y, x, GMP_RNDN);
  mpfr_set_str_binary (x, "0.111010100101101001010001101001E-2");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: mpfr_acosh (1)\n");
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
}

/* With MPFR 2.3.0, this yields an assertion failure in mpfr_acosh. */
static void
bug20070831 (void)
{
  mpfr_t x, y, z;
  int inex;

  mpfr_init2 (x, 256);
  mpfr_init2 (y, 32);
  mpfr_init2 (z, 32);

  mpfr_set_ui (x, 1, GMP_RNDN);
  mpfr_nextabove (x);
  inex = mpfr_acosh (y, x, GMP_RNDZ);
  mpfr_set_ui_2exp (z, 1, -127, GMP_RNDN);
  mpfr_nextbelow (z);
  if (!mpfr_equal_p (y, z))
    {
      printf ("Error in bug20070831 (1):\nexpected ");
      mpfr_dump (z);
      printf ("got      ");
      mpfr_dump (y);
      exit (1);
    }
  MPFR_ASSERTN (inex < 0);

  mpfr_nextabove (x);
  mpfr_set_prec (y, 29);
  inex = mpfr_acosh (y, x, GMP_RNDN);
  mpfr_set_str_binary (z, "1.011010100000100111100110011E-127");
  if (!mpfr_equal_p (y, z))
    {
      printf ("Error in bug20070831 (2):\nexpected ");
      mpfr_dump (z);
      printf ("got      ");
      mpfr_dump (y);
      exit (1);
    }
  MPFR_ASSERTN (inex < 0);

  mpfr_clears (x, y, z, (mpfr_ptr) 0);
}

static void
huge (void)
{
  mpfr_t x, y, z;
  int inex;

  /* TODO: extend the exponent range and use mpfr_get_emax (). */
  mpfr_inits2 (32, x, y, z, (mpfr_ptr) 0);
  mpfr_set_ui_2exp (x, 1, 1073741822, GMP_RNDN);
  inex = mpfr_acosh (y, x, GMP_RNDN);
  mpfr_set_str_binary (z, "0.10110001011100100001011111110101E30");
  if (!mpfr_equal_p (y, z))
    {
      printf ("Error in huge:\nexpected ");
      mpfr_dump (z);
      printf ("got      ");
      mpfr_dump (y);
      exit (1);
    }
  MPFR_ASSERTN (inex < 0);

  mpfr_clears (x, y, z, (mpfr_ptr) 0);
}

int
main (int argc, char *argv[])
{
  tests_start_mpfr ();

  special ();
  bug20070831 ();
  huge ();

  test_generic (2, 100, 25);
  test_generic_huge (2, 100, 5);

  data_check ("data/acosh", mpfr_acosh, "mpfr_acosh");
  bad_cases (mpfr_acosh, mpfr_cosh, "mpfr_acosh", 0, -128, 29,
             4, 128, 800, 40);

  tests_end_mpfr ();
  return 0;
}