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/* tfmod -- test file for mpfr_fmod
Copyright 2007, 2008 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.
This file is part of the MPFR Library.
The 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 2.1 of the License, or (at your
option) any later version.
The 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 MPFR Library; see the file COPYING.LIB. If not, 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, mp_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, GMP_RNDZ);
mpfr_trunc (q, q); /* may change inexact flag */
mpfr_prec_round (q, mpfr_get_prec (q) + mpfr_get_prec (y), GMP_RNDZ);
inexact = mpfr_mul (q, q, y, GMP_RNDZ); /* exact */
inexact = mpfr_sub (r, x, q, rnd);
mpfr_clear (q);
return inexact;
}
static void
test_failed (mpfr_t erem, mpfr_t grem, mpfr_t x, mpfr_t y, mp_rnd_t rnd)
{
printf ("error : mpfr_fmod (r, x, y, rnd)\n x = ");
mpfr_out_str (stdout, 10, 0, x, GMP_RNDD);
printf ("\n y = ");
mpfr_out_str (stdout, 10, 0, y, GMP_RNDD);
printf ("\nrnd = %s\n", mpfr_print_rnd_mode (rnd));
printf ("\n expected r = ");
mpfr_out_str (stdout, 10, 0, erem, GMP_RNDD);
printf ("\n got r = ");
mpfr_out_str (stdout, 10, 0, grem, GMP_RNDD);
putchar ('\n');
mpfr_clears (erem, grem, x, y, (void *) 0);
exit (1);
}
static void
check (mpfr_t r0, mpfr_t x, mpfr_t y, mp_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))
test_failed (r1, r0, x, y, rnd);
MPFR_ASSERTN (inex0 == inex1);
mpfr_clear (r1);
}
static void
special (void)
{
int inexact;
mpfr_t x, y, r;
mpfr_inits (x, y, r, (void *)0);
/* NaN mod NaN is NaN */
mpfr_set_nan (x);
mpfr_set_nan (y);
inexact = mpfr_fmod (r, x, y, GMP_RNDN);
if (!mpfr_nan_p (r))
test_failed (r, x, x, y, GMP_RNDN);
if (inexact)
{
printf ("error : mpfr_fmod (NaN, NaN) should be exact\n");
goto error;
}
/* NaN mod +0 is NaN */
mpfr_set_ui (y, 0, GMP_RNDN);
inexact = mpfr_fmod (r, x, y, GMP_RNDN);
if (!mpfr_nan_p (r))
test_failed (r, x, x, y, GMP_RNDN);
if (inexact)
{
printf ("error : mpfr_fmod (NaN, +0) should be exact\n");
goto error;
}
/* 3.1415 mod +0 is NaN */
mpfr_set_d (x, 3.1415, GMP_RNDN);
inexact = mpfr_fmod (r, x, y, GMP_RNDN);
if (!mpfr_nan_p (r))
test_failed (r, x, x, y, GMP_RNDN);
if (inexact)
{
printf ("error : mpfr_fmod (3.1415, NaN) should be exact\n");
goto error;
}
/* 3.1415 mod +Inf is 3.1415 */
mpfr_set_inf (y, 1);
inexact = mpfr_fmod (r, x, y, GMP_RNDN);
if (MPFR_IS_SINGULAR (r))
test_failed (r, x, x, y, GMP_RNDN);
if (inexact)
{
printf ("error : mpfr_fmod (3.1415, +Inf) should be exact\n");
goto error;
}
mpfr_clears (x, y, r, (void *)0);
return;
error:
mpfr_clears (x, y, r, (void *)0);
exit (1);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y, r;
tests_start_mpfr ();
mpfr_inits (x, y, r, (void *)0);
test_generic (2, 100, 100);
special ();
/* remainder = 0 */
mpfr_set_str (y, "FEDCBA987654321p-64", 16, GMP_RNDN);
mpfr_pow_ui (x, y, 42, GMP_RNDN);
check (r, x, y, GMP_RNDN);
/* x < y */
mpfr_mul_d (x, y, .12345, GMP_RNDN);
check (r, x, y, GMP_RNDN);
/* sign(x) = sign (r) */
mpfr_set_str (x, "123798", 10, GMP_RNDN);
mpfr_set_str (y, "10", 10, GMP_RNDN);
check (r, x, y, GMP_RNDN);
/* huge difference between precisions */
mpfr_set_prec (x, 314);
mpfr_const_pi (x, GMP_RNDD); /* x = pi */
mpfr_set_prec (y, 8);
mpfr_set_ui (y, 1, GMP_RNDD);
mpfr_div_2ui (y, y, 3, GMP_RNDD); /* y = 1/8 */
mpfr_set_prec (r, 123);
check (r, x, y, GMP_RNDD);
mpfr_clears (x, y, r, (void *)0);
tests_end_mpfr ();
return 0;
}
#else
int
main (void)
{
printf ("Warning! Test disabled for this MPFR version.\n");
return 0;
}
#endif
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