/* Test file for mpfr_sec.

Copyright 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 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 <stdio.h>
#include <stdlib.h>

#include "mpfr-test.h"

#define TEST_FUNCTION mpfr_sec
#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
#include "tgeneric.c"

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

  mpfr_init2 (x, 123L);
  mpfr_init2 (y, 123L);

  mpfr_set_nan (x);
  mpfr_sec (y, x, MPFR_RNDN);
  if (! mpfr_nan_p (y))
    {
      printf ("Error: sec(NaN) != NaN\n");
      exit (1);
    }

  mpfr_set_inf (x, 1);
  mpfr_sec (y, x, MPFR_RNDN);
  if (! mpfr_nan_p (y))
    {
      printf ("Error: sec(Inf) != NaN\n");
      exit (1);
    }

  mpfr_set_inf (x, -1);
  mpfr_sec (y, x, MPFR_RNDN);
  if (! mpfr_nan_p (y))
    {
      printf ("Error: sec(-Inf) != NaN\n");
      exit (1);
    }

  /* sec(+/-0) = 1 */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_sec (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 1))
    {
      printf ("Error: sec(+0) != 1\n");
      exit (1);
    }
  mpfr_neg (x, x, MPFR_RNDN);
  mpfr_sec (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 1))
    {
      printf ("Error: sec(-0) != 1\n");
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
overflowed_sec0 (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. */
      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_sec (x, x, (mpfr_rnd_t) rnd);
            if (! mpfr_overflow_p ())
              {
                printf ("Error in overflowed_sec0 (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 overflowed_sec0 (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 overflowed_sec0 (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 overflowed_sec0 (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 overflowed_sec0 (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[])
{
  tests_start_mpfr ();

  check_specials ();

  test_generic (2, 200, 10);
  overflowed_sec0 ();

  tests_end_mpfr ();
  return 0;
}