/* Test file for mpfr_erf and mpfr_erfc.

Copyright 2001-2018 Free Software Foundation, Inc.
Contributed by the AriC and Caramba 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 <math.h>

#include "mpfr-test.h"

#define TEST_FUNCTION mpfr_erf
#define test_generic test_generic_erf
#include "tgeneric.c"

#define TEST_FUNCTION mpfr_erfc
#undef TEST_RANDOM_EMAX
#define TEST_RANDOM_EMAX 63
#define test_generic test_generic_erfc
#include "tgeneric.c"

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

  mpfr_init2 (x, 53);
  mpfr_init2 (y, 53);

  /* erf(NaN) = NaN */
  mpfr_set_nan (x);
  mpfr_erf (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("mpfr_erf failed for x=NaN\n");
      exit (1);
    }

  /* erf(+Inf) = 1 */
  mpfr_set_inf (x, 1);
  mpfr_erf (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 1))
    {
      printf ("mpfr_erf failed for x=+Inf\n");
      printf ("expected 1.0, got ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  /* erf(-Inf) = -1 */
  mpfr_set_inf (x, -1);
  mpfr_erf (y, x, MPFR_RNDN);
  if (mpfr_cmp_si (y, -1))
    {
      printf ("mpfr_erf failed for x=-Inf\n");
      exit (1);
    }

  /* erf(+0) = +0 */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_erf (y, x, MPFR_RNDN);
  if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
    {
      printf ("mpfr_erf failed for x=+0\n");
      exit (1);
    }

  /* erf(-0) = -0 */
  mpfr_neg (x, x, MPFR_RNDN);
  mpfr_erf (y, x, MPFR_RNDN);
  if (MPFR_NOTZERO (y) || MPFR_IS_POS (y))
    {
      printf ("mpfr_erf failed for x=-0\n");
      exit (1);
    }

  mpfr_set_ui (x, 1, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDN);
  mpfr_set_str_binary (y, "0.11010111101110110011110100111010000010000100010001011");
  if (mpfr_cmp (x, y))
    {
      printf ("mpfr_erf failed for x=1.0, rnd=MPFR_RNDN\n");
      printf ("expected ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_str (x, "6.6", 10, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("mpfr_erf failed for x=6.6, rnd=MPFR_RNDN\n");
      printf ("expected 1\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_str (x, "-6.6", 10, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp_si (x, -1))
    {
      printf ("mpfr_erf failed for x=-6.6, rnd=MPFR_RNDN\n");
      printf ("expected -1\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_str (x, "6.6", 10, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDZ);
  mpfr_set_str_binary (y, "0.11111111111111111111111111111111111111111111111111111");
  if (mpfr_cmp (x, y))
    {
      printf ("mpfr_erf failed for x=6.6, rnd=MPFR_RNDZ\n");
      printf ("expected ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_str (x, "4.5", 10, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDN);
  mpfr_set_str_binary (y, "0.1111111111111111111111111111111100100111110100011");
  if (mpfr_cmp (x, y))
    {
      printf ("mpfr_erf failed for x=4.5, rnd=MPFR_RNDN\n");
      printf ("expected ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_prec (x, 120);
  mpfr_set_prec (y, 120);
  mpfr_set_str_binary (x, "0.110100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011E3");
  mpfr_erf (x, x, MPFR_RNDN);
  mpfr_set_str_binary (y, "0.11111111111111111111111111111111111111111111111111111111111111111100111111000100111011111011010000110101111100011001101");
  if (mpfr_cmp (x, y))
    {
      printf ("mpfr_erf failed for x=6.6, rnd=MPFR_RNDN\n");
      printf ("expected ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_prec (x, 8);
  mpfr_set_prec (y, 8);
  mpfr_set_ui (x, 50, MPFR_RNDN);
  inex = mpfr_erf (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 1))
    {
      printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDN\n");
      printf ("expected 1, got ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }
  if (inex <= 0)
    {
      printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDN: wrong ternary value\n"
              "expected positive, got %d\n", inex);
      exit (1);
    }
  inex = mpfr_erf (x, x, MPFR_RNDZ);
  mpfr_nextbelow (y);
  if (mpfr_cmp (x, y))
    {
      printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDZ\n");
      printf ("expected ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      printf ("got      ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }
  if (inex >= 0)
    {
      printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDN: wrong ternary value\n"
              "expected negative, got %d\n", inex);
      exit (1);
    }

  mpfr_set_prec (x, 32);
  mpfr_set_prec (y, 32);

  mpfr_set_str_binary (x, "0.1010100100111011001111100101E-1");
  mpfr_set_str_binary (y, "0.10111000001110011010110001101011E-1");
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (1)\n");
      exit (1);
    }

  mpfr_set_str_binary (x, "-0.10110011011010111110010001100001");
  mpfr_set_str_binary (y, "-0.1010110110101011100010111000111");
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (2)\n");
      mpfr_dump (x);
      exit (1);
    }

  mpfr_set_str_binary (x, "100.10001110011110100000110000111");
  mpfr_set_str_binary (y, "0.11111111111111111111111111111111");
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (3)\n");
      exit (1);
    }
  mpfr_set_str_binary (x, "100.10001110011110100000110000111");
  mpfr_erf (x, x, MPFR_RNDZ);
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (4)\n");
      exit (1);
    }
  mpfr_set_str_binary (x, "100.10001110011110100000110000111");
  mpfr_erf (x, x, MPFR_RNDU);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("Error: erf for prec=32 (5)\n");
      exit (1);
    }

  mpfr_set_str_binary (x, "100.10001110011110100000110001000");
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("Error: erf for prec=32 (6)\n");
      exit (1);
    }
  mpfr_set_str_binary (x, "100.10001110011110100000110001000");
  mpfr_set_str_binary (y, "0.11111111111111111111111111111111");
  mpfr_erf (x, x, MPFR_RNDZ);
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (7)\n");
      exit (1);
    }
  mpfr_set_str_binary (x, "100.10001110011110100000110001000");
  mpfr_erf (x, x, MPFR_RNDU);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("Error: erf for prec=32 (8)\n");
      exit (1);
    }

  mpfr_set_ui (x, 5, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDN);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("Error: erf for prec=32 (9)\n");
      exit (1);
    }
  mpfr_set_ui (x, 5, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDU);
  if (mpfr_cmp_ui (x, 1))
    {
      printf ("Error: erf for prec=32 (10)\n");
      exit (1);
    }
  mpfr_set_ui (x, 5, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDZ);
  mpfr_set_str_binary (y, "0.11111111111111111111111111111111");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (11)\n");
      exit (1);
    }
  mpfr_set_ui (x, 5, MPFR_RNDN);
  mpfr_erf (x, x, MPFR_RNDD);
  mpfr_set_str_binary (y, "0.11111111111111111111111111111111");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=32 (12)\n");
      exit (1);
    }

  mpfr_set_prec (x, 43);
  mpfr_set_prec (y, 64);
  mpfr_set_str_binary (x, "-0.1101110110101111100101011101110101101001001e3");
  mpfr_erf (y, x, MPFR_RNDU);
  mpfr_set_prec (x, 64);
  mpfr_set_str_binary (x, "-0.1111111111111111111111111111111111111111111111111111111111111111");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for prec=43,64 (13)\n");
      exit (1);
    }

  /* worst cases */
  mpfr_set_prec (x, 53);
  mpfr_set_prec (y, 53);
  mpfr_set_str_binary (x, "1.0000000000000000000000000000000000000110000000101101");
  mpfr_erf (y, x, MPFR_RNDN);
  mpfr_set_str_binary (x, "0.110101111011101100111101001110100000101011000011001");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for worst case (1)\n");
      exit (1);
    }

  mpfr_set_str_binary (x, "1.0000000000000000000000000000011000111010101101011010");
  mpfr_erf (y, x, MPFR_RNDU);
  mpfr_set_str_binary (x, "0.11010111101110110011110100111100100111100011111000110");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for worst case (2a)\n");
      exit (1);
    }
  mpfr_set_str_binary (x, "1.0000000000000000000000000000011000111010101101011010");
  mpfr_erf (y, x, MPFR_RNDD);
  mpfr_set_str_binary (x, "0.11010111101110110011110100111100100111100011111000101");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: erf for worst case (2b)\n");
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
}

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

  mpfr_inits (x, y, (mpfr_ptr) 0);

  /* erfc (NaN) = NaN */
  mpfr_set_nan (x);
  mpfr_erfc (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("mpfr_erfc failed for x=NaN\n");
      exit (1);
    }
  /* erfc(+Inf) = 0+ */
  mpfr_set_inf (x, 1);
  mpfr_erfc (y, x, MPFR_RNDN);
  if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y))
    {
      printf ("mpfr_erf failed for x=+Inf\n");
      printf ("expected 0+, got ");
      mpfr_dump (y);
      exit (1);
    }
  /* erfc(-Inf) = 2 */
  mpfr_set_inf (x, -1);
  mpfr_erfc (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 2))
    {
      printf ("mpfr_erf failed for x=-Inf\n");
      printf ("expected 2, got ");
      mpfr_dump (y);
      exit (1);
    }
  /* erf(+0) = 1 */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_erfc (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 1))
    {
      printf ("mpfr_erf failed for x=+0\n");
      printf ("expected 1, got ");
      mpfr_dump (y);
      exit (1);
    }

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

static void
large_arg (void)
{
  mpfr_t x, y;
  unsigned int flags;

  mpfr_init2 (x, 88);
  mpfr_init2 (y, 98);

  mpfr_set_si_2exp (x, -1, 173, MPFR_RNDN);
  mpfr_clear_flags ();
  mpfr_erfc (y, x, MPFR_RNDN);
  flags = __gmpfr_flags;
  if (mpfr_cmp_ui (y, 2) != 0)
    {
      printf ("mpfr_erfc failed for large x (1)\n");
      exit (1);
    }
  if (flags != MPFR_FLAGS_INEXACT)
    {
      printf ("mpfr_erfc sets incorrect flags for large x (1)\n");
      printf ("Expected %u, got %u\n",
              (unsigned int) MPFR_FLAGS_INEXACT, flags);
      exit (1);
    }

  mpfr_set_si_2exp (x, -1, mpfr_get_emax () - 3, MPFR_RNDN);
  mpfr_clear_flags ();
  mpfr_erfc (y, x, MPFR_RNDN);
  flags = __gmpfr_flags;
  if (mpfr_cmp_ui (y, 2) != 0)
    {
      printf ("mpfr_erfc failed for large x (1b)\n");
      exit (1);
    }
  if (flags != MPFR_FLAGS_INEXACT)
    {
      printf ("mpfr_erfc sets incorrect flags for large x (1b)\n");
      printf ("Expected %u, got %u\n",
              (unsigned int) MPFR_FLAGS_INEXACT, flags);
      exit (1);
    }

  mpfr_set_prec (x, 33);
  mpfr_set_prec (y, 43);
  mpfr_set_str_binary (x, "1.11000101010111011000111100101001e6");
  mpfr_erfc (y, x, MPFR_RNDD);
  mpfr_set_prec (x, 43);
  mpfr_set_str_binary (x, "100010011100101100001101100101011101101E-18579");
  if (mpfr_cmp (x, y) != 0)
    {
      printf ("mpfr_erfc failed for large x (2)\n");
      exit (1);
    }

  mpfr_set_prec (y, 43);
  mpfr_set_si_2exp (x, 1, 11, MPFR_RNDN);
  mpfr_erfc (y, x, MPFR_RNDN);
  mpfr_set_str_binary (x, "0.1100000100100010101111001111010010001000110E-6051113");
  if (mpfr_cmp (x, y) != 0)
    {
      printf ("mpfr_erfc failed for large x (3)\n");
      exit (1);
    }

  mpfr_set_prec (x, 75);
  mpfr_set_prec (y, 85);
  mpfr_set_str_binary (x, "0.111110111111010011101011001100001010011110101010011111010010111101010001011E15");
  mpfr_erfc (y, x, MPFR_RNDN);
  if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
    {
      printf ("mpfr_erfc failed for large x (3b)\n");
      exit (1);
    }

  mpfr_set_prec (x, 2);
  mpfr_set_prec (y, 21);
  mpfr_set_str_binary (x, "-1.0e3");
  mpfr_clear_flags ();
  mpfr_erfc (y, x, MPFR_RNDZ);
  flags = __gmpfr_flags;
  mpfr_set_prec (x, 21);
  mpfr_set_str_binary (x, "1.11111111111111111111");
  if (mpfr_cmp (x, y) != 0)
    {
      printf ("mpfr_erfc failed for large x (4)\n");
      exit (1);
    }
  if (flags != MPFR_FLAGS_INEXACT)
    {
      printf ("mpfr_erfc sets incorrect flags for large x (4)\n");
      printf ("Expected %u, got %u\n",
              (unsigned int) MPFR_FLAGS_INEXACT, flags);
      exit (1);
    }

  mpfr_set_prec (x, 2);
  mpfr_set_prec (y, 31);
  mpfr_set_str_binary (x, "-1.0e3");
  mpfr_clear_flags ();
  mpfr_erfc (y, x, MPFR_RNDZ);
  flags = __gmpfr_flags;
  mpfr_set_prec (x, 31);
  mpfr_set_str_binary (x, "1.111111111111111111111111111111");
  if (mpfr_cmp (x, y) != 0)
    {
      printf ("mpfr_erfc failed for x=-8, prec=31 (5)\n");
      printf ("expected "); mpfr_dump (x);
      printf ("got      "); mpfr_dump (y);
      exit (1);
    }
  if (flags != MPFR_FLAGS_INEXACT)
    {
      printf ("mpfr_erfc sets incorrect flags for large x (5)\n");
      printf ("Expected %u, got %u\n",
              (unsigned int) MPFR_FLAGS_INEXACT, flags);
      exit (1);
    }

  /* Reported by Christopher Creutzig on 2007-07-10. */
  mpfr_set_prec (x, 53);
  mpfr_set_prec (y, 53);
  mpfr_set_si_2exp (x, 54563, -1, MPFR_RNDN);
  mpfr_erfc (y, x, MPFR_RNDZ);
  mpfr_set_ui (x, 0, MPFR_RNDN);
  if (! mpfr_equal_p (y, x))
    {
      printf ("mpfr_erfc failed for x=27281.5, prec=53 (6)\n");
      printf ("expected "); mpfr_dump (x);
      printf ("got      "); mpfr_dump (y);
      exit (1);
    }

  /* same test with rounding away from zero */
  mpfr_set_si_2exp (x, 54563, -1, MPFR_RNDN);
  mpfr_erfc (y, x, MPFR_RNDU);
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_nextabove (x);
  if (! mpfr_equal_p (y, x))
    {
      printf ("mpfr_erfc failed for x=27281.5, prec=53 (7)\n");
      printf ("expected "); mpfr_dump (x);
      printf ("got      "); mpfr_dump (y);
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
test_erfc (void)
{
  mpfr_t x, y, z;
  int inex;
  mpfr_exp_t emin;

  mpfr_inits2 (40, x, y, z, (mpfr_ptr) 0);

  mpfr_set_si_2exp (x, -1, -10, MPFR_RNDN);
  mpfr_set_str_binary (z, "0.1000000000100100000110111010110111100000E1");
  mpfr_erfc (y, x, MPFR_RNDN);
  if (mpfr_cmp (y, z) != 0)
    {
      printf ("mpfr_erfc failed for x = ");
      mpfr_dump (x);
      printf ("got        ");
      mpfr_dump (y);
      printf ("instead of ");
      mpfr_dump (z);
      exit (1);
    }

  /* slowness detected by Kevin Rauch on 26 Oct 2007 */
  mpfr_set_prec (x, 128);
  mpfr_set_si (x, -256, MPFR_RNDN);
  inex = mpfr_erfc (x, x, MPFR_RNDN);
  MPFR_ASSERTN(inex > 0 && mpfr_cmp_ui (x, 2) == 0);

  /* bug found by Pascal Molin on March 10, 2011 */
  emin = mpfr_get_emin ();
  if (! mpfr_set_emin (-1073808789))
    {
      /* Typically, a 64-bit machine. */
      mpfr_set_si (x, 27282, MPFR_RNDN);
      mpfr_erfc (y, x, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_cmp_ui (y, 0) != 0);
      mpfr_set_emin (emin);
    }

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

/* Failure in r7569 (2011-03-15) due to incorrect flags. */
static void
reduced_expo_range (void)
{
  mpfr_exp_t emax;
  mpfr_t x, y, ex_y;
  int inex, ex_inex;
  unsigned int flags, ex_flags;

  emax = mpfr_get_emax ();
  mpfr_set_emax (3);
  mpfr_init2 (x, 33);
  mpfr_inits2 (110, y, ex_y, (mpfr_ptr) 0);
  mpfr_set_str_binary (x, "-0.111100110111111111011101010101110E3");
  mpfr_clear_flags ();
  inex = mpfr_erfc (y, x, MPFR_RNDZ);
  flags = __gmpfr_flags;
  mpfr_set_str (ex_y, "1.fffffffffffffffffffffe607440", 16, MPFR_RNDN);
  ex_inex = -1;
  ex_flags = MPFR_FLAGS_INEXACT;
  if (VSIGN (inex) != ex_inex || flags != ex_flags ||
      ! mpfr_equal_p (y, ex_y))
    {
      printf ("Error in reduced_expo_range\non x = ");
      mpfr_dump (x);
      printf ("Expected y = ");
      mpfr_out_str (stdout, 16, 0, ex_y, MPFR_RNDN);
      printf ("\n         inex = %d, flags = %u\n", ex_inex, ex_flags);
      printf ("Got      y = ");
      mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN);
      printf ("\n         inex = %d, flags = %u\n", VSIGN (inex), flags);
      exit (1);
    }
  mpfr_clears (x, y, ex_y, (mpfr_ptr) 0);
  mpfr_set_emax (emax);
}

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

  special_erf ();
  special_erfc ();
  large_arg ();
  test_erfc ();
  reduced_expo_range ();

  test_generic_erf (MPFR_PREC_MIN, 100, 15);
  test_generic_erfc (MPFR_PREC_MIN, 100, 15);

  data_check ("data/erf",  mpfr_erf,  "mpfr_erf");
  data_check ("data/erfc", mpfr_erfc, "mpfr_erfc");

  tests_end_mpfr ();
  return 0;
}
