/* Test file for mpfr_hypot.

Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 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 <limits.h>
#include <stdlib.h>

#include "mpfr-test.h"

/* Non-zero when extended exponent range */
static int ext = 0;

static void
special (void)
{
  mpfr_t x, y, z;

  mpfr_init (x);
  mpfr_init (y);
  mpfr_init (z);

  mpfr_set_nan (x);
  mpfr_hypot (z, x, y, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_nan_p (z));

  mpfr_set_inf (x, 1);
  mpfr_set_inf (y, -1);
  mpfr_hypot (z, x, y, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);

  mpfr_set_inf (x, -1);
  mpfr_set_nan (y);
  mpfr_hypot (z, x, y, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);

  mpfr_set_nan (x);
  mpfr_set_inf (y, -1);
  mpfr_hypot (z, x, y, MPFR_RNDN);
  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);

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

static void
test_large (void)
{
  mpfr_t x, y, z, t;

  mpfr_init (x);
  mpfr_init (y);
  mpfr_init (z);
  mpfr_init (t);

  mpfr_set_ui (x, 21, MPFR_RNDN);
  mpfr_set_ui (y, 28, MPFR_RNDN);
  mpfr_set_ui (z, 35, MPFR_RNDN);

  mpfr_mul_2ui (x, x, MPFR_EMAX_DEFAULT-6, MPFR_RNDN);
  mpfr_mul_2ui (y, y, MPFR_EMAX_DEFAULT-6, MPFR_RNDN);
  mpfr_mul_2ui (z, z, MPFR_EMAX_DEFAULT-6, MPFR_RNDN);

  mpfr_hypot (t, x, y, MPFR_RNDN);
  if (mpfr_cmp (z, t))
    {
      printf ("Error in test_large: got\n");
      mpfr_out_str (stdout, 2, 0, t, MPFR_RNDN);
      printf ("\ninstead of\n");
      mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_prec (x, 53);
  mpfr_set_prec (t, 53);
  mpfr_set_prec (y, 53);
  mpfr_set_str_binary (x, "0.11101100011110000011101000010101010011001101000001100E-1021");
  mpfr_set_str_binary (y, "0.11111001010011000001110110001101011100001000010010100E-1021");
  mpfr_hypot (t, x, y, MPFR_RNDN);
  mpfr_set_str_binary (z, "0.101010111100110111101110111110100110010011001010111E-1020");
  if (mpfr_cmp (z, t))
    {
      printf ("Error in test_large: got\n");
      mpfr_out_str (stdout, 2, 0, t, MPFR_RNDN);
      printf ("\ninstead of\n");
      mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

  mpfr_set_prec (x, 240);
  mpfr_set_prec (y, 22);
  mpfr_set_prec (z, 2);
  mpfr_set_prec (t, 2);
  mpfr_set_str_binary (x, "0.100111011010010010110100000100000001100010011100110101101111111101011110111011011101010110100101111000111100010100110000100101011110111011100110100110100101110101101100011000001100000001111101110100100100011011011010110111100110010101000111e-7");
  mpfr_set_str_binary (y, "0.1111000010000011000111E-10");
  mpfr_hypot (t, x, y, MPFR_RNDN);
  mpfr_set_str_binary (z, "0.11E-7");
  if (mpfr_cmp (z, t))
    {
      printf ("Error in test_large: got\n");
      mpfr_out_str (stdout, 2, 0, t, MPFR_RNDN);
      printf ("\ninstead of\n");
      mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }

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

static void
test_small (void)
{
  mpfr_t x, y, z1, z2;
  int inex1, inex2;
  unsigned int flags;

  /* Test hypot(x,x) with x = 2^(emin-1). Result is x * sqrt(2). */
  mpfr_inits2 (8, x, y, z1, z2, (mpfr_ptr) 0);
  mpfr_set_si_2exp (x, 1, mpfr_get_emin () - 1, MPFR_RNDN);
  mpfr_set_si_2exp (y, 1, mpfr_get_emin () - 1, MPFR_RNDN);
  mpfr_set_ui (z1, 2, MPFR_RNDN);
  inex1 = mpfr_sqrt (z1, z1, MPFR_RNDN);
  inex2 = mpfr_mul (z1, z1, x, MPFR_RNDN);
  MPFR_ASSERTN (inex2 == 0);
  mpfr_clear_flags ();
  inex2 = mpfr_hypot (z2, x, y, MPFR_RNDN);
  flags = __gmpfr_flags;
  if (mpfr_cmp (z1, z2) != 0)
    {
      printf ("Error in test_small%s\nExpected ",
              ext ? ", extended exponent range" : "");
      mpfr_out_str (stdout, 2, 0, z1, MPFR_RNDN);
      printf ("\nGot      ");
      mpfr_out_str (stdout, 2, 0, z2, MPFR_RNDN);
      printf ("\n");
      exit (1);
    }
  if (! SAME_SIGN (inex1, inex2))
    {
      printf ("Bad ternary value in test_small%s\nExpected %d, got %d\n",
              ext ? ", extended exponent range" : "", inex1, inex2);
      exit (1);
    }
  if (flags != MPFR_FLAGS_INEXACT)
    {
      printf ("Bad flags in test_small%s\nExpected %u, got %u\n",
              ext ? ", extended exponent range" : "",
              (unsigned int) MPFR_FLAGS_INEXACT, flags);
      exit (1);
    }
  mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0);
}

static void
test_large_small (void)
{
  mpfr_t x, y, z;
  int inexact, inex2, r;

  mpfr_init2 (x, 3);
  mpfr_init2 (y, 2);
  mpfr_init2 (z, 2);

  mpfr_set_ui_2exp (x, 1, mpfr_get_emax () / 2, MPFR_RNDN);
  mpfr_set_ui_2exp (y, 1, -1, MPFR_RNDN);
  inexact = mpfr_hypot (z, x, y, MPFR_RNDN);
  if (inexact >= 0 || mpfr_cmp (x, z))
    {
      printf ("Error 1 in test_large_small%s\n",
              ext ? ", extended exponent range" : "");
      exit (1);
    }

  mpfr_mul_ui (x, x, 5, MPFR_RNDN);
  inexact = mpfr_hypot (z, x, y, MPFR_RNDN);
  if (mpfr_cmp (x, z) >= 0)
    {
      printf ("Error 2 in test_large_small%s\n",
              ext ? ", extended exponent range" : "");
      printf ("x = ");
      mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
      printf ("\n");
      printf ("y = ");
      mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
      printf ("\n");
      printf ("z = ");
      mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN);
      printf (" (in precision 2) instead of\n    ");
      mpfr_out_str (stdout, 2, 2, x, MPFR_RNDU);
      printf ("\n");
      exit (1);
    }

  RND_LOOP(r)
    {
      mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, MPFR_RNDN);
      mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), MPFR_RNDN);
      inexact = mpfr_hypot (z, x, y, (mpfr_rnd_t) r);
      inex2 = mpfr_add_ui (y, x, 1, (mpfr_rnd_t) r);
      if (! mpfr_equal_p (y, z) || ! SAME_SIGN (inexact, inex2))
        {
          printf ("Error 3 in test_large_small, %s%s\n",
                  mpfr_print_rnd_mode ((mpfr_rnd_t) r),
                  ext ? ", extended exponent range" : "");
          printf ("Expected ");
          mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
          printf (", inex = %d\n", inex2);
          printf ("Got      ");
          mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
          printf (", inex = %d\n", inexact);
          exit (1);
        }
    }

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

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

  mpfr_inits2 (8, x, y, (mpfr_ptr) 0);
  mpfr_set_ui (x, 1, MPFR_RNDN);
  mpfr_setmax (x, mpfr_get_emax ());

  RND_LOOP(r)
    {
      mpfr_clear_overflow ();
      inex = mpfr_hypot (y, x, x, (mpfr_rnd_t) r);
      if (!mpfr_overflow_p ())
        {
          printf ("No overflow in check_overflow for %s%s\n",
                  mpfr_print_rnd_mode ((mpfr_rnd_t) r),
                  ext ? ", extended exponent range" : "");
          exit (1);
        }
      MPFR_ASSERTN (MPFR_IS_POS (y));
      if (r == MPFR_RNDZ || r == MPFR_RNDD)
        {
          MPFR_ASSERTN (inex < 0);
          MPFR_ASSERTN (!mpfr_inf_p (y));
          mpfr_nexttoinf (y);
        }
      else
        {
          MPFR_ASSERTN (inex > 0);
        }
      MPFR_ASSERTN (mpfr_inf_p (y));
    }

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

#define TWO_ARGS
#define TEST_FUNCTION mpfr_hypot
#include "tgeneric.c"

static void
alltst (void)
{
  mpfr_exp_t emin, emax;

  ext = 0;
  test_small ();
  test_large_small ();
  check_overflow ();

  emin = mpfr_get_emin ();
  emax = mpfr_get_emax ();
  set_emin (MPFR_EMIN_MIN);
  set_emax (MPFR_EMAX_MAX);
  if (mpfr_get_emin () != emin || mpfr_get_emax () != emax)
    {
      ext = 1;
      test_small ();
      test_large_small ();
      check_overflow ();
      set_emin (emin);
      set_emax (emax);
    }
}

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

  special ();

  test_large ();
  alltst ();

  test_generic (2, 100, 10);

  tests_end_mpfr ();
  return 0;
}
