src/mpfr-3.1.4/tests/tfmod.c

/* tfmod -- test file for mpfr_fmod

Copyright 2007-2016 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 <stdio.h>
#include <stdlib.h>

#include "mpfr-test.h"

#if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0)

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

/* compute remainder as in definition:
   r = x - n * y, where n = trunc(x/y).
   warning: may change flags. */
static int
slow_fmod (mpfr_ptr r, mpfr_srcptr x, mpfr_srcptr y, mpfr_rnd_t rnd)
{
  mpfr_t q;
  int inexact;
  if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x) || MPFR_IS_SINGULAR (y)))
    {
      if (MPFR_IS_NAN (x) || MPFR_IS_NAN (y) || MPFR_IS_INF (x)
          || MPFR_IS_ZERO (y))
        {
          MPFR_SET_NAN (r);
          MPFR_RET_NAN;
        }
      else                      /* either y is Inf and x is 0 or non-special,
                                   or x is 0 and y is non-special,
                                   in both cases the quotient is zero. */
        return mpfr_set (r, x, rnd);
    }
  /* regular cases */
  /* if 2^(ex-1) <= |x| < 2^ex, and 2^(ey-1) <= |y| < 2^ey,
     then |x/y| < 2^(ex-ey+1) */
  mpfr_init2 (q,
              MAX (MPFR_PREC_MIN, mpfr_get_exp (x) - mpfr_get_exp (y) + 1));
  mpfr_div (q, x, y, MPFR_RNDZ);
  mpfr_trunc (q, q);                            /* may change inexact flag */
  mpfr_prec_round (q, mpfr_get_prec (q) + mpfr_get_prec (y), MPFR_RNDZ);
  inexact = mpfr_mul (q, q, y, MPFR_RNDZ);       /* exact */
  inexact = mpfr_sub (r, x, q, rnd);
  mpfr_clear (q);
  return inexact;
}

static void
test_failed (mpfr_t erem, mpfr_t grem, int eret, int gret, mpfr_t x, mpfr_t y,
             mpfr_rnd_t rnd)
{
  printf ("error: mpfr_fmod (r, x, y, rnd)\n  x = ");
  mpfr_out_str (stdout, 10, 0, x, MPFR_RNDD);
  printf ("\n  y = ");
  mpfr_out_str (stdout, 10, 0, y, MPFR_RNDD);
  printf ("\nrnd = %s", mpfr_print_rnd_mode (rnd));
  if (eret != gret)
    printf ("\nexpected %s return value, got %d",
            (eret < 0 ? "negative" : eret > 0 ? "positive" : "zero"), gret);
  printf ("\n  expected r = ");
  mpfr_out_str (stdout, 10, 0, erem, MPFR_RNDD);
  printf ("\n  got      r = ");
  mpfr_out_str (stdout, 10, 0, grem, MPFR_RNDD);
  putchar ('\n');

  exit (1);
}

static void
check (mpfr_t r0, mpfr_t x, mpfr_t y, mpfr_rnd_t rnd)
{
  int inex0, inex1;
  mpfr_t r1;
  mpfr_init2 (r1, mpfr_get_prec (r0));

  inex0 = mpfr_fmod (r0, x, y, rnd);
  inex1 = slow_fmod (r1, x, y, rnd);
  if (!mpfr_equal_p (r0, r1) || inex0 != inex1)
    test_failed (r1, r0, inex1, inex0, x, y, rnd);
  mpfr_clear (r1);
}

static void
regular (void)
{
  mpfr_t x, y, r;
  mpfr_inits (x, y, r, (mpfr_ptr) 0);

  /* remainder = 0 */
  mpfr_set_str (y, "FEDCBA987654321p-64", 16, MPFR_RNDN);
  mpfr_pow_ui (x, y, 42, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);

  /* x < y */
  mpfr_set_ui_2exp (x, 64723, -19, MPFR_RNDN);
  mpfr_mul (x, x, y, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);

  /* sign(x) = sign (r) */
  mpfr_set_ui (x, 123798, MPFR_RNDN);
  mpfr_set_ui (y, 10, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);

  /* huge difference between precisions */
  mpfr_set_prec (x, 314);
  mpfr_set_prec (y, 8);
  mpfr_set_prec (r, 123);
  mpfr_const_pi (x, MPFR_RNDD); /* x = pi */
  mpfr_set_ui_2exp (y, 1, 3, MPFR_RNDD); /* y = 1/8 */
  check (r, x, y, MPFR_RNDD);

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

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

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

  mpfr_set_nan (t);

  /* fmod (NaN, NaN) is NaN */
  mpfr_set_nan (x);
  mpfr_set_nan (y);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (NaN, +0) is NaN */
  mpfr_set_ui (y, 0, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+1, 0) is NaN */
  mpfr_set_ui (x, 1, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (0, 0) is NaN */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+inf, +0) is NaN */
  mpfr_set_inf (x, +1);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-inf, +0) is NaN */
  mpfr_set_inf (x, -1);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-inf, -0) is NaN */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-inf, +1) is NaN */
  mpfr_set_ui (y, +1, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+inf, +1) is NaN */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+inf, -inf) is NaN */
  mpfr_set_inf (y, -1);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-inf, -inf) is NaN */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-inf, +inf) is NaN */
  mpfr_neg (y, y, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+inf, +inf) is NaN */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (x, +inf) = x, if x is finite */
  mpfr_set_ui (x, 1, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+0, +inf) = +0 */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-0, +inf) = -0 */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (x, -inf) = x, if x is finite */
  mpfr_set_inf (y, -1);
  mpfr_set_ui (x, 1, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+0, -inf) = +0 */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-0, -inf) = -0 */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+0, +0) is NaN */
  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_set_ui (y, 0, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+0, -0) is NaN */
  mpfr_neg (y, y, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_nan_p (r) || inexact != 0)
    test_failed (r, t, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+0, +1) = +0 */
  mpfr_set_ui (y, 1, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (+0, -1) = +0 */
  mpfr_neg (y, y, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-0, -1) = -0 */
  mpfr_neg (x, x, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  /* fmod (-0, +1) = -0 */
  mpfr_neg (y, y, MPFR_RNDN);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
  if (!mpfr_equal_p (r, x) || inexact != 0)
    test_failed (r, x, 0, inexact, x, y, MPFR_RNDN);

  mpfr_set_prec (x, 380);
  mpfr_set_prec (y, 385);
  mpfr_set_str_binary (x, "0.11011010010110011101011000100100101100101011010001011100110001100101111001010100001011111110111100101110101010110011010101000100000100011101101100001011101110100111101111111010001001000010000110010110011100111000001110111010000100101001010111100100010001101001110100011110010000000001110001111001101100111011001000110110011100100011111110010100011001000001001011010111010000000000E0");
  mpfr_set_str_binary (y, "0.1100011000011101011010001100010111001110110111001101010010111100111100011010010011011101111101111001010111111110001001100001111101001000000010100101111001001110010110000111001000101010111001001000100101011111000010100110001111000110011011010101111101100110010101011010011101100001011101001000101111110110110110000001001101110111110110111110111111001001011110001110011111100000000000000E-1");
  mpfr_set_prec (r, 2);
  inexact = mpfr_fmod (r, x, y, MPFR_RNDA);
  mpfr_set_prec (t, 2);
  mpfr_set_ui_2exp (t, 3, -5, MPFR_RNDN);
  if (mpfr_cmp_ui_2exp (r, 3, -5) || inexact <= 0)
    test_failed (r, t, 1, inexact, x, y, MPFR_RNDA);

  mpfr_clears (x, y, r, t, (mpfr_ptr) 0);
  return;
}

/* bug reported by Eric Veach */
static void
bug20090519 (void)
{
  mpfr_t x, y, r;
  int inexact;

  mpfr_inits2 (100, x, y, r, (mpfr_ptr) 0);

  mpfr_set_prec (x, 3);
  mpfr_set_prec (y, 3);
  mpfr_set_prec (r, 3);
  mpfr_set_si (x, 8, MPFR_RNDN);
  mpfr_set_si (y, 7, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);

  mpfr_set_prec (x, 10);
  mpfr_set_prec (y, 10);
  mpfr_set_prec (r, 10);
  mpfr_set_ui_2exp (x, 3, 26, MPFR_RNDN);
  mpfr_set_si (y, (1 << 9) - 1, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);

  mpfr_set_prec (x, 100);
  mpfr_set_prec (y, 100);
  mpfr_set_prec (r, 100);
  mpfr_set_str (x, "3.5", 10, MPFR_RNDN);
  mpfr_set_str (y, "1.1", 10, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);
  /* double check, with a pre-computed value */
  {
    mpfr_t er;
    mpfr_init2 (er, 100);
    mpfr_set_str (er, "CCCCCCCCCCCCCCCCCCCCCCCC8p-102", 16, MPFR_RNDN);

    inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
    if (!mpfr_equal_p (r, er) || inexact != 0)
      test_failed (er, r, 0, inexact, x, y, MPFR_RNDN);

    mpfr_clear (er);
  }

  mpfr_set_si (x, 20, MPFR_RNDN);
  mpfr_set_ui_2exp (y, 1, 1, MPFR_RNDN); /* exact */
  mpfr_sin (y, y, MPFR_RNDN);
  check (r, x, y, MPFR_RNDN);

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

static void
bug20160217 (void)
{
  mpfr_t x, y, r;
  int inexact, i;
  mpfr_exp_t emin, emax;

  mpfr_inits2 (53, x, y, r, (mpfr_ptr) 0);

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

  for (i = 0; i <= 1; i++)
    {
      mpfr_set_zero (x, 1);
      mpfr_nextabove (x);
      mpfr_set_inf (y, 1);
      mpfr_nextbelow (y);
      inexact = mpfr_fmod (r, x, y, MPFR_RNDN);
      if (!mpfr_equal_p (r, x) || inexact != 0)
        {
          printf ("Error for mpfr_fmod (r, nextabove(0), nextbelow(+inf),"
                  " MPFR_RNDN)%s\n", i ? "extended exponent range" : "");
          printf ("Expected inex = 0, r = ");
          mpfr_dump (x);
          printf ("Got      inex = %d, r = ", inexact);
          mpfr_dump (r);
          exit (1);
        }
      set_emin (MPFR_EMIN_MIN);
      set_emax (MPFR_EMAX_MAX);
    }

  set_emin (emin);
  set_emax (emax);

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

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

  bug20090519 ();
  bug20160217 ();

  test_generic (2, 100, 100);

  special ();
  regular ();

  tests_end_mpfr ();
  return 0;
}

#else

int
main (void)
{
  printf ("Warning! Test disabled for this MPFR version.\n");
  return 0;
}

#endif