/* Test file for mpfr_tanu.

Copyright 2020-2021 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
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */

#include "mpfr-test.h"

static void
test_singular (void)
{
  mpfr_t x, y;
  int inexact;

  mpfr_init (x);
  mpfr_init (y);

  /* check u = 0 */
  mpfr_set_ui (x, 17, MPFR_RNDN);
  inexact = mpfr_tanu (y, x, 0, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_nan_p (y));

  /* check x = NaN */
  mpfr_set_nan (x);
  inexact = mpfr_tanu (y, x, 1, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_nan_p (y));

  /* check x = +Inf */
  mpfr_set_inf (x, 1);
  inexact = mpfr_tanu (y, x, 1, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_nan_p (y));

  /* check x = -Inf */
  mpfr_set_inf (x, -1);
  inexact = mpfr_tanu (y, x, 1, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_nan_p (y));

  /* check x = +0 */
  mpfr_set_zero (x, 1);
  inexact = mpfr_tanu (y, x, 1, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) == 0);
  MPFR_ASSERTN(inexact == 0);

  /* check x = -0 */
  mpfr_set_zero (x, -1);
  inexact = mpfr_tanu (y, x, 1, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) != 0);
  MPFR_ASSERTN(inexact == 0);

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
test_exact (void)
{
  mpfr_t x, y;
  int inexact, n;

  mpfr_init2 (x, 6);
  mpfr_init2 (y, 6);

  /* check n + 0.5 for n integer */
  for (n = 0; n < 10; n++)
    {
      /* check 2n+0.5 for n>=0: +Inf and divide by 0 exception */
      mpfr_set_ui (x, 4 * n + 1, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_inf_p (y) && mpfr_sgn (y) > 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(mpfr_divby0_p ());

      /* check 2n+1 for n>=0: -0 */
      mpfr_set_ui (x, 4 * n + 2, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) != 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(!mpfr_divby0_p ());

      /* check 2n+1.5 for n>=0: -Inf and divide by 0 exception */
      mpfr_set_ui (x, 4 * n + 3, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_inf_p (y) && mpfr_sgn (y) < 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(mpfr_divby0_p ());

      /* check 2n+2 for n>=0: +0 */
      mpfr_set_ui (x, 4 * n + 4, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) == 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(!mpfr_divby0_p ());

      /* check -2n-0.5 for n>=0: -Inf and divide by 0 exception */
      mpfr_set_si (x, -4 * n - 1, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_inf_p (y) && mpfr_sgn (y) < 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(mpfr_divby0_p ());

      /* check -2n-1 for n>=0: +0 */
      mpfr_set_si (x, -4 * n - 2, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) == 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(!mpfr_divby0_p ());

      /* check -2n-1.5 for n>=0: +Inf and divide by 0 exception */
      mpfr_set_si (x, -4 * n - 3, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_inf_p (y) && mpfr_sgn (y) > 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(mpfr_divby0_p ());

      /* check -2n-2 for n>=0: -0 */
      mpfr_set_si (x, -4 * n - 4, MPFR_RNDN);
      mpfr_clear_divby0 ();
      inexact = mpfr_tanu (y, x, 4, MPFR_RNDN);
      MPFR_ASSERTN(mpfr_zero_p (y) && mpfr_signbit (y) != 0);
      MPFR_ASSERTN(inexact == 0);
      MPFR_ASSERTN(!mpfr_divby0_p ());
    }

  /* check 2*pi*x/u = pi/4 thus x/u = 1/8, for example x=1 and u=8 */
  mpfr_set_ui (x, 1, MPFR_RNDN);
  inexact = mpfr_tanu (y, x, 8, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0 && inexact == 0);

  /* check 2*pi*x/u = 3*pi/4 thus x/u = 3/8, for example x=3 and u=8 */
  mpfr_set_ui (x, 3, MPFR_RNDN);
  inexact = mpfr_tanu (y, x, 8, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_cmp_si (y, -1) == 0 && inexact == 0);

  /* check 2*pi*x/u = 5*pi/4 thus x/u = 5/8, for example x=5 and u=8 */
  mpfr_set_ui (x, 5, MPFR_RNDN);
  inexact = mpfr_tanu (y, x, 8, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0 && inexact == 0);

  /* check 2*pi*x/u = 7*pi/4 thus x/u = 7/8, for example x=7 and u=8 */
  mpfr_set_ui (x, 7, MPFR_RNDN);
  inexact = mpfr_tanu (y, x, 8, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_cmp_si (y, -1) == 0 && inexact == 0);

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
test_regular (void)
{
  mpfr_t x, y, z;
  int inexact;

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

  mpfr_set_ui (x, 17, MPFR_RNDN);
  inexact = mpfr_tanu (y, x, 42, MPFR_RNDN);
  /* y should be tan(2*17*pi/42) rounded to nearest */
  mpfr_set_str (z, "-0xa.e89b03074638p-4", 16, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_equal_p (y, z));
  MPFR_ASSERTN(inexact > 0);

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

/* Check argument reduction with large hard-coded inputs. The following
   values were generated with gen_random(tan,10,53,100,20), where the
   Sage code for gen_random is given in the tcosu.c file. */
static void
test_large (void)
{
  static struct {
    const char *x;
    unsigned long u;
    const char *y;
  } t[] = {
    { "-0x1.8f7cb49edc03p+16", 28, "0x4.c869fd8050554p-4" },
    { "-0xe.8ede30716292p+16", 17, "-0x2.c83df69d8fdecp+4" },
    { "-0x8.f14a73a7b4a3p+16", 4, "-0xd.be24a6d0fde98p-4" },
    { "0xe.f82c4537b473p+16", 93, "-0x5.d0d95fdc8ffbcp+0" },
    { "0x8.4148f00c8418p+16", 50, "0x1.e4e4aa652b2a4p-4" },
    { "-0x6.e8b69db10e63p+16", 27, "-0x2.4f32f1977b7b2p-4" },
    { "-0xe.a3ebf225ea2fp+16", 18, "0x6.5f7637f74517p+0" },
    { "-0x5.580eb29168d8p+16", 92, "0x8.96418eed84e8p+0" },
    { "0x8.13c5a1b43231p+16", 19, "0xb.2718b861b29fp-8" },
    { "0x4.eb4e546e042dp+16", 64, "0x6.0b3ba821e4ep+0" }
  };
  int i;
  mpfr_t x, y, z;

  mpfr_inits2 (53, x, y, z, (mpfr_ptr) 0);
  for (i = 0; i < numberof (t); i++)
    {
      mpfr_set_str (x, t[i].x, 0, MPFR_RNDN);
      mpfr_set_str (y, t[i].y, 0, MPFR_RNDN);
      mpfr_tanu (z, x, t[i].u, MPFR_RNDN);
      MPFR_ASSERTN (mpfr_equal_p (y, z));
    }
  mpfr_clears (x, y, z, (mpfr_ptr) 0);
}

#define TEST_FUNCTION mpfr_tanu
#define ULONG_ARG2
#include "tgeneric.c"

static int
mpfr_tan2pi (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t r)
{
  return mpfr_tanu (y, x, 1, r);
}

int
main (void)
{
  tests_start_mpfr ();

  test_singular ();
  test_exact ();
  test_regular ();
  test_large ();

  test_generic (MPFR_PREC_MIN, 100, 1000);

  data_check ("data/tan2pi", mpfr_tan2pi, "mpfr_tan2pi");

  tests_end_mpfr ();
  return 0;
}