/* Test file for mpfr_asin.

Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free Software Foundation, Inc.
Contributed by the AriC and Caramel 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_asin
#define TEST_RANDOM_EMAX 7
#include "tgeneric.c"

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

  mpfr_init (x);
  mpfr_init (y);

  /* asin(NaN) = NaN */
  mpfr_set_nan (x);
  mpfr_asin (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_asin (NaN) <> NaN\n");
      exit (1);
    }

  /* asin(+/-Inf) = NaN */
  mpfr_set_inf (x, 1);
  mpfr_asin (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_asin (+Inf) <> NaN\n");
      exit (1);
    }
  mpfr_set_inf (x, -1);
  mpfr_asin (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_asin (-Inf) <> NaN\n");
      exit (1);
    }

  /* asin(+/-2) = NaN */
  mpfr_set_ui (x, 2, MPFR_RNDN);
  mpfr_asin (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_asin (+2) <> NaN\n");
      exit (1);
    }
  mpfr_set_si (x, -2, MPFR_RNDN);
  mpfr_asin (y, x, MPFR_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error: mpfr_asin (-2) <> NaN\n");
      exit (1);
    }

  /* asin(+/-0) = +/-0 */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_asin (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
    {
      printf ("Error: mpfr_asin (+0) <> +0\n");
      exit (1);
    }
  mpfr_neg (x, x, MPFR_RNDN);
  mpfr_asin (y, x, MPFR_RNDN);
  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
    {
      printf ("Error: mpfr_asin (-0) <> -0\n");
      exit (1);
    }

  /* asin(1) = Pi/2 */
  for (r = 0; r < MPFR_RND_MAX; r++)
    {
      mpfr_set_ui (x, 1, MPFR_RNDN); /* exact */
      mpfr_asin (y, x, (mpfr_rnd_t) r);
      mpfr_const_pi (x, (mpfr_rnd_t) r);
      mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */
      if (mpfr_cmp (x, y))
        {
          printf ("Error: asin(1) != Pi/2 for rnd=%s\n",
                  mpfr_print_rnd_mode ((mpfr_rnd_t) r));
          exit (1);
        }
    }

  /* asin(-1) = -Pi/2 */
  for (r = 0; r < MPFR_RND_MAX; r++)
    {
      mpfr_set_si (x, -1, MPFR_RNDN); /* exact */
      mpfr_asin (y, x, (mpfr_rnd_t) r);
      mpfr_const_pi (x, MPFR_INVERT_RND((mpfr_rnd_t) r));
      mpfr_neg (x, x, MPFR_RNDN); /* exact */
      mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */
      if (mpfr_cmp (x, y))
        {
          printf ("Error: asin(-1) != -Pi/2 for rnd=%s\n",
                  mpfr_print_rnd_mode ((mpfr_rnd_t) r));
          exit (1);
        }
    }

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

  mpfr_set_str_binary (x, "0.1101110111111111001011101000101");
  mpfr_asin (x, x, MPFR_RNDN);
  mpfr_set_str_binary (y, "1.00001100101011000001111100111");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: mpfr_asin (1)\n");
      exit (1);
    }

  mpfr_set_str_binary (x, "-0.01110111000011101010111100000101");
  mpfr_asin (x, x, MPFR_RNDN);
  mpfr_set_str_binary (y, "-0.0111101111010100011111110101");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: mpfr_asin (2)\n");
      mpfr_print_binary (x); printf ("\n");
      mpfr_print_binary (y); printf ("\n");
      exit (1);
    }

  mpfr_set_prec (x, 9);
  mpfr_set_prec (y, 19);
  mpfr_set_str_binary (x, "0.110000000E-6");
  mpfr_asin (y, x, MPFR_RNDD);
  mpfr_set_prec (x, 19);
  mpfr_set_str_binary (x, "0.1100000000000001001E-6");
  if (mpfr_cmp (x, y))
    {
      printf ("Error: mpfr_asin (3)\n");
      mpfr_dump (x);
      mpfr_dump (y);
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
special_overflow (void)
{
  mpfr_t x, y;
  mpfr_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, 48);
  mpfr_set_str_binary (x, "0.101100100000000000110100E0");
  mpfr_asin (y, x, MPFR_RNDN);
  if (mpfr_cmp_str (y, "0.110001001101001111110000010110001000111011001000E0",
                    2, MPFR_RNDN))
    {
      printf("Special Overflow error.\n");
      mpfr_dump (y);
      exit (1);
    }
  mpfr_clear (y);
  mpfr_clear (x);
  set_emin (emin);
  set_emax (emax);
}

/* bug reported by Kevin Rauch on 15 December 2007 */
static void
test20071215 (void)
{
  mpfr_t x, y;

  mpfr_init (x);
  mpfr_init (y);

  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_neg (x, x, MPFR_RNDN);
  mpfr_set_ui (y, 1, MPFR_RNDN);
  mpfr_asin (y, x, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_NEG(y));

  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_set_si (y, -1, MPFR_RNDN);
  mpfr_asin (y, x, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_POS(y));

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
reduced_expo_range (void)
{
  mpfr_exp_t emin, emax;
  mpfr_t x, y, ex_y;
  int inex, ex_inex;
  unsigned int flags, ex_flags;

  emin = mpfr_get_emin ();
  emax = mpfr_get_emax ();

  mpfr_inits2 (4, x, y, ex_y, (mpfr_ptr) 0);
  mpfr_set_str (x, "-0.1e1", 2, MPFR_RNDN);

  mpfr_set_emin (1);
  mpfr_set_emax (1);
  mpfr_clear_flags ();
  inex = mpfr_asin (y, x, MPFR_RNDA);
  flags = __gmpfr_flags;
  mpfr_set_emin (emin);
  mpfr_set_emax (emax);

  mpfr_set_str (ex_y, "-0.1101e1", 2, MPFR_RNDN);
  ex_inex = -1;
  ex_flags = MPFR_FLAGS_INEXACT;

  if (SIGN (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, 2, 0, ex_y, MPFR_RNDN);
      printf ("\n         inex = %d, flags = %u\n", ex_inex, ex_flags);
      printf ("Got      y = ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n         inex = %d, flags = %u\n", SIGN (inex), flags);
      exit (1);
    }

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

int
main (void)
{
  tests_start_mpfr ();

  special ();
  special_overflow ();
  reduced_expo_range ();

  test_generic (2, 100, 15);

  tests_end_mpfr ();

  data_check ("data/asin", mpfr_asin, "mpfr_asin");
  bad_cases (mpfr_asin, mpfr_sin, "mpfr_asin", 256, -40, 1, 4, 128, 800, 30);

  test20071215 ();

  tests_end_mpfr ();
  return 0;
}
