path: root/tests/texp10.c

/* Test file for mpfr_exp10.

Copyright 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 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.LIB.  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>

#include "mpfr-test.h"

#define TEST_FUNCTION mpfr_exp10
#define TEST_RANDOM_EMIN -36
#define TEST_RANDOM_EMAX 36
#include "tgeneric.c"

static void
special_overflow (void)
{
  mpfr_t x, y;
  int inex;
  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, 24);

  mpfr_set_str_binary (x, "0.101100100000000000110100E15");
  inex = mpfr_exp10 (y, x, MPFR_RNDN);
  if (!mpfr_inf_p (y) || inex <= 0)
    {
      printf ("Overflow error.\n");
      mpfr_dump (y);
      printf ("inex = %d\n", inex);
      exit (1);
    }

  mpfr_clear (y);
  mpfr_clear (x);
  set_emin (emin);
  set_emax (emax);
}

static void
emax_m_eps (void)
{
  if (mpfr_get_emax () <= LONG_MAX)
    {
      mpfr_t x, y;
      int inex, ov;

      mpfr_init2 (x, sizeof(mp_exp_t) * CHAR_BIT * 4);
      mpfr_init2 (y, 8);
      mpfr_set_si (x, mpfr_get_emax (), MPFR_RNDN);

      mpfr_clear_flags ();
      inex = mpfr_exp10 (y, x, MPFR_RNDN);
      ov = mpfr_overflow_p ();
      if (!ov || !mpfr_inf_p (y) || inex <= 0)
        {
          printf ("Overflow error for x = emax, MPFR_RNDN.\n");
          mpfr_dump (y);
          printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
          exit (1);
        }

      mpfr_clear (x);
      mpfr_clear (y);
    }
}

static void
exp_range (void)
{
  mpfr_t x;
  mp_exp_t emin;

  emin = mpfr_get_emin ();
  set_emin (3);
  mpfr_init2 (x, 16);
  mpfr_set_ui (x, 4, MPFR_RNDN);
  mpfr_exp10 (x, x, MPFR_RNDN);
  set_emin (emin);
  if (mpfr_nan_p (x) || mpfr_cmp_ui (x, 10000) != 0)
    {
      printf ("Error in mpfr_exp10 for x = 4, with emin = 3\n");
      printf ("Expected 10000, got ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }
  mpfr_clear (x);
}

static void
overfl_exp10_0 (void)
{
  mpfr_t x, y;
  int emax, i, inex, rnd, err = 0;
  mp_exp_t old_emax;

  old_emax = mpfr_get_emax ();

  mpfr_init2 (x, 8);
  mpfr_init2 (y, 8);

  for (emax = -1; emax <= 0; emax++)
    {
      mpfr_set_ui_2exp (y, 1, emax, MPFR_RNDN);
      mpfr_nextbelow (y);
      set_emax (emax);  /* 1 is not representable. */
      /* and if emax < 0, 1 - eps is not representable either. */
      for (i = -1; i <= 1; i++)
        RND_LOOP (rnd)
          {
            mpfr_set_si_2exp (x, i, -512 * ABS (i), MPFR_RNDN);
            mpfr_clear_flags ();
            inex = mpfr_exp10 (x, x, (mpfr_rnd_t) rnd);
            if ((i >= 0 || emax < 0 || rnd == MPFR_RNDN || rnd == MPFR_RNDU) &&
                ! mpfr_overflow_p ())
              {
                printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
                        "  The overflow flag is not set.\n",
                        i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
                err = 1;
              }
            if (rnd == MPFR_RNDZ || rnd == MPFR_RNDD)
              {
                if (inex >= 0)
                  {
                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
                            "  The inexact value must be negative.\n",
                            i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
                    err = 1;
                  }
                if (! mpfr_equal_p (x, y))
                  {
                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
                            "  Got ", i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
                    mpfr_print_binary (x);
                    printf (" instead of 0.11111111E%d.\n", emax);
                    err = 1;
                  }
              }
            else
              {
                if (inex <= 0)
                  {
                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
                            "  The inexact value must be positive.\n",
                            i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
                    err = 1;
                  }
                if (! (mpfr_inf_p (x) && MPFR_SIGN (x) > 0))
                  {
                    printf ("Error in overfl_exp10_0 (i = %d, rnd = %s):\n"
                            "  Got ", i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
                    mpfr_print_binary (x);
                    printf (" instead of +Inf.\n");
                    err = 1;
                  }
              }
          }
      set_emax (old_emax);
    }

  if (err)
    exit (1);
  mpfr_clear (x);
  mpfr_clear (y);
}

int
main (int argc, char *argv[])
{
  mpfr_t x, y;
  mp_exp_t emin, emax;
  int inex, ov;

  tests_start_mpfr ();

  special_overflow ();
  emax_m_eps ();
  exp_range ();

  mpfr_init (x);
  mpfr_init (y);

  mpfr_set_ui (x, 4, MPFR_RNDN);
  mpfr_exp10 (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 10000) != 0)
    {
      printf ("Error for 10^4, MPFR_RNDN\n");
      exit (1);
    }
  mpfr_exp10 (y, x, MPFR_RNDD);
  if (mpfr_cmp_ui (y, 10000) != 0)
    {
      printf ("Error for 10^4, MPFR_RNDD\n");
      exit (1);
    }
  mpfr_exp10 (y, x, MPFR_RNDU);
  if (mpfr_cmp_ui (y, 10000) != 0)
    {
      printf ("Error for 10^4, MPFR_RNDU\n");
      exit (1);
    }

  mpfr_set_prec (x, 10);
  mpfr_set_prec (y, 10);
  /* save emin */
  emin = mpfr_get_emin ();
  set_emin (-11);
  mpfr_set_si (x, -4, MPFR_RNDN);
  mpfr_exp10 (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
    {
      printf ("Error for emin = -11, x = -4, RNDN\n");
      printf ("Expected +0\n");
      printf ("Got      "); mpfr_print_binary (y); puts ("");
      exit (1);
    }
  /* restore emin */
  set_emin (emin);

  /* save emax */
  emax = mpfr_get_emax ();
  set_emax (13);
  mpfr_set_ui (x, 4, MPFR_RNDN);
  mpfr_exp10 (y, x, MPFR_RNDN);
  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
    {
      printf ("Error for emax = 13, x = 4, RNDN\n");
      printf ("Expected +inf\n");
      printf ("Got      "); mpfr_print_binary (y); puts ("");
      exit (1);
    }
  /* restore emax */
  set_emax (emax);

  MPFR_SET_INF (x);
  MPFR_SET_POS (x);
  mpfr_exp10 (y, x, MPFR_RNDN);
  if (!MPFR_IS_INF (y))
    {
      printf ("evaluation of function in INF does not return INF\n");
      exit (1);
    }

  MPFR_CHANGE_SIGN (x);
  mpfr_exp10 (y, x, MPFR_RNDN);
  if (!MPFR_IS_ZERO (y))
    {
      printf ("evaluation of function in -INF does not return 0\n");
      exit (1);
    }

  MPFR_SET_NAN (x);
  mpfr_exp10 (y, x, MPFR_RNDN);
  if (!MPFR_IS_NAN (y))
    {
      printf ("evaluation of function in NaN does not return NaN\n");
      exit (1);
    }

  if ((mpfr_uexp_t) 8 << 31 != 0 ||
      mpfr_get_emax () <= (mpfr_uexp_t) 100000 * 100000)
    {
      /* emax <= 10000000000 */
      mpfr_set_prec (x, 40);
      mpfr_set_prec (y, 40);
      mpfr_set_str (x, "3010299957", 10, MPFR_RNDN);
      mpfr_clear_flags ();
      inex = mpfr_exp10 (y, x, MPFR_RNDN);
      ov = mpfr_overflow_p ();
      if (!(MPFR_IS_INF (y) && MPFR_IS_POS (y) && ov))
        {
          printf ("Overflow error for x = 3010299957, MPFR_RNDN.\n");
          mpfr_dump (y);
          printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
          exit (1);
        }
    }

  test_generic (2, 100, 100);

  mpfr_clear (x);
  mpfr_clear (y);

  overfl_exp10_0 ();

  data_check ("data/exp10", mpfr_exp10, "mpfr_exp10");

  tests_end_mpfr ();
  return 0;
}