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/* Test file for mpfr_rint, mpfr_trunc, mpfr_floor, mpfr_ceil, mpfr_round.
Copyright 2002, 2003 Free Software Foundation.
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., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#include "mpfr-test.h"
#if __STDC_VERSION__ >= 199901L
static void
test_fct (double (*f)(double), int (*g)(), char *s, mp_rnd_t r)
{
double d, y;
mpfr_t dd, yy;
mpfr_init2 (dd, 53);
mpfr_init2 (yy, 53);
for (d = -5.0; d <= 5.0; d += 0.25)
{
mpfr_set_d (dd, d, r);
y = (*f)(d);
if (g == &mpfr_rint)
mpfr_rint (yy, dd, r);
else
(*g)(yy, dd);
mpfr_set_d (dd, y, r);
if (mpfr_cmp (yy, dd))
{
printf ("test_against_libc: incorrect result for %s, rnd = %s,"
" d = %g\ngot ", s, mpfr_print_rnd_mode (r), d);
mpfr_out_str (stdout, 10, 0, yy, GMP_RNDN);
printf (" instead of %g\n", y);
exit (1);
}
}
mpfr_clear (dd);
mpfr_clear (yy);
}
#define TEST_FCT(F) test_fct (&F, &mpfr_##F, #F, r)
static void
test_against_libc (void)
{
int r = 0;
TEST_FCT (round);
TEST_FCT (trunc);
TEST_FCT (floor);
TEST_FCT (ceil);
for (r = 0; r < 4; r++)
if (mpfr_set_machine_rnd_mode (r) == 0)
test_fct (&nearbyint, &mpfr_rint, "rint", r);
}
#endif
static void
err (char *str, mp_size_t s, mpfr_t x, mpfr_t y, mp_prec_t p, mp_rnd_t r,
int trint, int inexact)
{
printf ("Error: %s\ns = %u, p = %u, r = %s, trint = %d, inexact = %d\nx = ",
str, (unsigned int) s, (unsigned int) p, mpfr_print_rnd_mode (r),
trint, inexact);
mpfr_print_binary (x);
printf ("\ny = ");
mpfr_print_binary (y);
printf ("\n");
exit (1);
}
int
main (int argc, char *argv[])
{
mp_size_t s;
mpz_t z;
mp_prec_t p;
mpfr_t x, y, t, u, v;
mp_rnd_t r;
int inexact, sign_t;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
mpz_init (z);
mpfr_init (t);
mpfr_init (u);
mpfr_init (v);
mpz_set_ui (z, 1);
for (s = 2; s < 100; s++)
{
/* z has exactly s bits */
mpz_mul_2exp (z, z, 1);
if (randlimb () % 2)
mpz_add_ui (z, z, 1);
mpfr_set_prec (x, s);
mpfr_set_prec (t, s);
mpfr_set_prec (u, s);
if (mpfr_set_z (x, z, GMP_RNDN))
{
printf ("Error: mpfr_set_z should be exact (s = %u)\n",
(unsigned int) s);
exit (1);
}
if (randlimb () % 2)
mpfr_neg (x, x, GMP_RNDN);
if (randlimb () % 2)
mpfr_div_2ui (x, x, randlimb () % s, GMP_RNDN);
for (p = 2; p < 100; p++)
{
int trint;
mpfr_set_prec (y, p);
mpfr_set_prec (v, p);
for (r = 0; r < 4; r++)
for (trint = 0; trint < 2; trint++)
{
if (trint)
inexact = mpfr_rint (y, x, r);
else if (r == GMP_RNDN)
inexact = mpfr_round (y, x);
else if (r == GMP_RNDZ)
inexact = mpfr_trunc (y, x);
else if (r == GMP_RNDU)
inexact = mpfr_ceil (y, x);
else /* r = GMP_RNDD */
inexact = mpfr_floor (y, x);
if (mpfr_sub (t, y, x, GMP_RNDN))
err ("subtraction 1 should be exact",
s, x, y, p, r, trint, inexact);
sign_t = mpfr_cmp_ui (t, 0);
if (((inexact == 0) && (sign_t != 0)) ||
((inexact < 0) && (sign_t >= 0)) ||
((inexact > 0) && (sign_t <= 0)))
err ("wrong inexact flag", s, x, y, p, r, trint, inexact);
if (inexact == 0)
continue; /* end of the test for exact results */
if (((r == GMP_RNDD || (r == GMP_RNDZ && MPFR_SIGN (x) > 0))
&& inexact > 0) ||
((r == GMP_RNDU || (r == GMP_RNDZ && MPFR_SIGN (x) < 0))
&& inexact < 0))
err ("wrong rounding direction",
s, x, y, p, r, trint, inexact);
if (inexact < 0)
{
mpfr_add_ui (v, y, 1, GMP_RNDU);
if (mpfr_cmp (v, x) <= 0)
err ("representable integer between x and its "
"rounded value", s, x, y, p, r, trint, inexact);
}
else
{
mpfr_sub_ui (v, y, 1, GMP_RNDD);
if (mpfr_cmp (v, x) >= 0)
err ("representable integer between x and its "
"rounded value", s, x, y, p, r, trint, inexact);
}
if (r == GMP_RNDN)
{
int cmp;
if (mpfr_sub (u, v, x, GMP_RNDN))
err ("subtraction 2 should be exact",
s, x, y, p, r, trint, inexact);
cmp = mpfr_cmp_abs (t, u);
if (cmp > 0)
err ("faithful rounding, but not the nearest integer",
s, x, y, p, r, trint, inexact);
if (cmp < 0)
continue;
/* |t| = |u|: x is the middle of two consecutive
representable integers. */
if (trint)
{
/* halfway case for mpfr_rint in GMP_RNDN rounding
mode: round to an even integer or mantissa. */
mpfr_div_2ui (y, y, 1, GMP_RNDZ);
if (!mpfr_integer_p (y))
err ("halfway case for mpfr_rint, result isn't an"
" even integer", s, x, y, p, r, trint, inexact);
/* If floor(x) and ceil(x) aren't both representable
integers, the mantissa must be even. */
mpfr_sub (v, v, y, GMP_RNDN);
mpfr_abs (v, v, GMP_RNDN);
if (mpfr_cmp_ui (v, 1) != 0)
{
mpfr_div_2si (y, y, MPFR_EXP (y) - MPFR_PREC (y)
+ 1, GMP_RNDN);
if (!mpfr_integer_p (y))
err ("halfway case for mpfr_rint, mantissa isn't"
" even", s, x, y, p, r, trint, inexact);
}
}
else
{ /* halfway case for mpfr_round: x must have been
rounded away from zero. */
if ((MPFR_SIGN (x) > 0 && inexact < 0) ||
(MPFR_SIGN (x) < 0 && inexact > 0))
err ("halfway case for mpfr_round, bad rounding"
" direction", s, x, y, p, r, trint, inexact);
}
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpz_clear (z);
mpfr_clear (t);
mpfr_clear (u);
mpfr_clear (v);
/* TODO: add hardcoded tests */
#if __STDC_VERSION__ >= 199901L
if (argc > 1 && strcmp (argv[1], "-s") == 0)
test_against_libc ();
#endif
tests_end_mpfr ();
return 0;
}
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