mpfr-2.4.1/tests/texpm1.c

/* Test file for mpfr_expm1.

Copyright 2001, 2002, 2003, 2004, 2005, 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"

#ifdef CHECK_EXTERNAL
static int
test_expm1 (mpfr_ptr a, mpfr_srcptr b, mp_rnd_t rnd_mode)
{
  int res;
  int ok = rnd_mode == GMP_RNDN && mpfr_number_p (b) && mpfr_get_prec (a)>=53;
  if (ok)
    {
      mpfr_print_raw (b);
    }
  res = mpfr_expm1 (a, b, rnd_mode);
  if (ok)
    {
      printf (" ");
      mpfr_print_raw (a);
      printf ("\n");
    }
  return res;
}
#else
#define test_expm1 mpfr_expm1
#endif

#define TEST_FUNCTION test_expm1
#define TEST_RANDOM_EMIN -36
#define TEST_RANDOM_EMAX 36
#include "tgeneric.c"

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

  mpfr_init (x);
  mpfr_init (y);

  mpfr_set_nan (x);
  test_expm1 (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error for expm1(NaN)\n");
      exit (1);
    }

  mpfr_set_inf (x, 1);
  test_expm1 (y, x, GMP_RNDN);
  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
    {
      printf ("Error for expm1(+Inf)\n");
      exit (1);
    }

  mpfr_set_inf (x, -1);
  test_expm1 (y, x, GMP_RNDN);
  if (mpfr_cmp_si (y, -1))
    {
      printf ("Error for expm1(-Inf)\n");
      exit (1);
    }

  mpfr_set_ui (x, 0, GMP_RNDN);
  test_expm1 (y, x, GMP_RNDN);
  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
    {
      printf ("Error for expm1(+0)\n");
      exit (1);
    }

  mpfr_neg (x, x, GMP_RNDN);
  test_expm1 (y, x, GMP_RNDN);
  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
    {
      printf ("Error for expm1(-0)\n");
      exit (1);
    }

  /* Check overflow of expm1(x) */
  mpfr_clear_flags ();
  mpfr_set_str_binary (x, "1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDN);
  MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_SIGN (x) > 0);
  MPFR_ASSERTN (mpfr_overflow_p ());
  MPFR_ASSERTN (i == 1);

  mpfr_clear_flags ();
  mpfr_set_str_binary (x, "1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDU);
  MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_SIGN (x) > 0);
  MPFR_ASSERTN (mpfr_overflow_p ());
  MPFR_ASSERTN (i == 1);

  mpfr_clear_flags ();
  mpfr_set_str_binary (x, "1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDD);
  MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_SIGN (x) > 0);
  MPFR_ASSERTN (mpfr_overflow_p ());
  MPFR_ASSERTN (i == -1);

  /* Check internal underflow of expm1 (x) */
  mpfr_set_prec (x, 2);
  mpfr_clear_flags ();
  mpfr_set_str_binary (x, "-1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDN);
  MPFR_ASSERTN (mpfr_cmp_si (x, -1) == 0);
  MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
  MPFR_ASSERTN (i == -1);

  mpfr_set_str_binary (x, "-1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDD);
  MPFR_ASSERTN (mpfr_cmp_si (x, -1) == 0);
  MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
  MPFR_ASSERTN (i == -1);

  mpfr_set_str_binary (x, "-1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDZ);
  MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, GMP_RNDN) == 0);
  MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
  MPFR_ASSERTN (i == 1);

  mpfr_set_str_binary (x, "-1.1E1000000000");
  i = test_expm1 (x, x, GMP_RNDU);
  MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, GMP_RNDN) == 0);
  MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ());
  MPFR_ASSERTN (i == 1);

  mpfr_clear (x);
  mpfr_clear (y);
}

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

  special ();

  test_generic (2, 100, 100);

  data_check ("data/expm1", mpfr_expm1, "mpfr_expm1");
  bad_cases (mpfr_expm1, mpfr_log1p, "mpfr_expm1", 256, -256, 255,
             4, 128, 800, 40);

  tests_end_mpfr ();
  return 0;
}