/* Test file for mpfr_get_decimal64 and mpfr_set_decimal64.
Copyright 2006-2018 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. */
#ifdef HAVE_CONFIG_H
# include "config.h"
#endif
#ifdef MPFR_WANT_DECIMAL_FLOATS
#include "mpfr-test.h"
#ifndef DEC64_MAX
# define DEC64_MAX 9.999999999999999E384dd
#endif
#if _MPFR_IEEE_FLOATS
static void
print_decimal64 (_Decimal64 d)
{
union mpfr_ieee_double_extract x;
union ieee_double_decimal64 y;
unsigned int Gh, i;
y.d64 = d;
x.d = y.d;
Gh = x.s.exp >> 6;
printf ("|%d%d%d%d%d%d", x.s.sig, Gh >> 4, (Gh >> 3) & 1,
(Gh >> 2) & 1, (Gh >> 1) & 1, Gh & 1);
printf ("%d%d%d%d%d%d", (x.s.exp >> 5) & 1, (x.s.exp >> 4) & 1,
(x.s.exp >> 3) & 1, (x.s.exp >> 2) & 1, (x.s.exp >> 1) & 1,
x.s.exp & 1);
for (i = 20; i > 0; i--)
printf ("%d", (x.s.manh >> (i - 1)) & 1);
for (i = 32; i > 0; i--)
printf ("%d", (x.s.manl >> (i - 1)) & 1);
printf ("|\n");
}
#else
/* Portable version, assuming long double has at least 55 bits.
Note: __STDC_WANT_IEC_60559_DFP_EXT__ or __STDC_WANT_DEC_FP__
might allow to use printf("%.15De\n", d) */
static void
print_decimal64 (_Decimal64 d)
{
printf ("%.15Le\n", (long double) d);
}
#endif /* _MPFR_IEEE_FLOATS */
#define PRINT_ERR_MISC(V) \
do \
{ \
printf ("Error in check_misc for %s.\n", V); \
printf (" mpfr_get_decimal64() returned: "); \
print_decimal64 (d); \
printf (" mpfr_set_decimal64() set x to: "); \
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); \
printf (" approx.\n = "); \
mpfr_dump (x); \
err = 1; \
} \
while (0)
static void
check_misc (void)
{
mpfr_t x, y;
_Decimal64 d;
int err = 0;
mpfr_init2 (x, 123);
mpfr_init2 (y, 123);
#if !defined(MPFR_ERRDIVZERO)
mpfr_set_nan (x);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
MPFR_ASSERTN (mpfr_nan_p (x));
mpfr_set_inf (x, 1);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (! mpfr_inf_p (x) || MPFR_IS_NEG (x))
PRINT_ERR_MISC ("+Inf");
mpfr_set_inf (x, -1);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (! mpfr_inf_p (x) || MPFR_IS_POS (x))
PRINT_ERR_MISC ("-Inf");
#endif
mpfr_set_ui (x, 0, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (MPFR_NOTZERO (x) || MPFR_IS_NEG (x))
PRINT_ERR_MISC ("+0");
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_neg (x, x, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (MPFR_NOTZERO (x) || MPFR_IS_POS (x))
PRINT_ERR_MISC ("-0");
mpfr_set_ui (x, 1, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (mpfr_cmp_ui (x, 1) != 0)
PRINT_ERR_MISC ("+1");
mpfr_set_si (x, -1, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (mpfr_cmp_si (x, -1) != 0)
PRINT_ERR_MISC ("-1");
mpfr_set_ui (x, 2, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (mpfr_cmp_ui (x, 2) != 0)
PRINT_ERR_MISC ("2");
mpfr_set_ui (x, 99, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (mpfr_cmp_ui (x, 99) != 0)
PRINT_ERR_MISC ("99");
mpfr_set_str (x, "9999999999999999", 10, MPFR_RNDZ);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("9999999999999999");
/* smallest normal number */
mpfr_set_str (x, "1E-383", 10, MPFR_RNDU);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDU);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("1E-383");
/* smallest subnormal number */
mpfr_set_str (x, "1E-398", 10, MPFR_RNDU);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDU);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("1E-398");
/* subnormal number with exponent change when we round back
from 16 digits to 1 digit */
mpfr_set_str (x, "9.9E-398", 10, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDU); /* should be 1E-397 */
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDD);
mpfr_set_str (y, "1E-397", 10, MPFR_RNDN);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("9.9E-398");
/* largest number */
mpfr_set_str (x, "9.999999999999999E384", 10, MPFR_RNDZ);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDU);
if (d == DEC64_MAX)
{
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("DEC64_MAX");
}
else
{
printf ("Error in check_misc for DEC64_MAX.\n");
printf (" mpfr_get_decimal64() returned: ");
print_decimal64 (d);
err = 1;
}
mpfr_set_str (x, "-9.999999999999999E384", 10, MPFR_RNDZ);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDA);
if (d == -DEC64_MAX)
{
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDZ);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("-DEC64_MAX");
}
else
{
printf ("Error in check_misc for -DEC64_MAX.\n");
printf (" mpfr_get_decimal64() returned: ");
print_decimal64 (d);
err = 1;
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
/* largest number */
mpfr_set_str (x, "9.999999999999999E384", 10, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_decimal64 (y, d, MPFR_RNDU);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("DEC64_MAX (2)");
mpfr_clear (x);
mpfr_clear (y);
if (err)
exit (1);
}
static void
check_random (void)
{
mpfr_t x, y;
_Decimal64 d;
int i;
mpfr_init2 (x, 49);
mpfr_init2 (y, 49);
for (i = 0; i < 100000; i++)
{
mpfr_urandomb (x, RANDS); /* 0 <= x < 1 */
/* the normal decimal64 range contains [2^(-1272), 2^1278] */
mpfr_mul_2si (x, x, (i % 2550) - 1272, MPFR_RNDN);
if (mpfr_get_exp (x) <= -1272)
mpfr_mul_2exp (x, x, -1271 - mpfr_get_exp (x), MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
mpfr_set_decimal64 (y, d, MPFR_RNDN);
if (mpfr_cmp (x, y) != 0)
{
printf ("Error:\n");
printf ("x="); mpfr_dump (x);
printf ("d="); print_decimal64 (d);
printf ("y="); mpfr_dump (y);
exit (1);
}
}
mpfr_clear (x);
mpfr_clear (y);
}
/* check with native decimal formats */
static void
check_native (void)
{
mpfr_t x;
_Decimal64 d;
mpfr_init2 (x, 53);
/* check important constants are correctly converted */
mpfr_set_ui (x, 17, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN(d == 17.0dd);
mpfr_set_ui (x, 42, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN(d == 42.0dd);
mpfr_set_decimal64 (x, 17.0dd, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 17) == 0);
mpfr_set_decimal64 (x, 42.0dd, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 42) == 0);
mpfr_clear (x);
}
static void
check_overflow (void)
{
mpfr_t x;
int err = 0, neg, rnd;
mpfr_init2 (x, 96);
for (neg = 0; neg < 2; neg++)
RND_LOOP (rnd)
{
_Decimal64 d, e;
mpfr_rnd_t r = (mpfr_rnd_t) rnd;
int sign = neg ? -1 : 1;
e = sign * (MPFR_IS_LIKE_RNDZ (r, neg) ? 1 : 2) * DEC64_MAX;
/* This tests the binary exponent e > 1279 case of get_d64.c */
mpfr_set_si_2exp (x, sign, 9999, MPFR_RNDN);
d = mpfr_get_decimal64 (x, r);
if (d != e)
{
printf ("Error 1 in check_overflow for %s, %s\n",
neg ? "negative" : "positive",
mpfr_print_rnd_mode (r));
err = 1;
}
/* This tests the decimal exponent e > 385 case of get_d64.c */
mpfr_set_si_2exp (x, sign * 31, 1274, MPFR_RNDN);
d = mpfr_get_decimal64 (x, r);
if (d != e)
{
printf ("Error 2 in check_overflow for %s, %s\n",
neg ? "negative" : "positive",
mpfr_print_rnd_mode (r));
err = 1;
}
/* This tests the last else (-382 <= e <= 385) of get_d64.c */
mpfr_set_decimal64 (x, e, MPFR_RNDA);
d = mpfr_get_decimal64 (x, r);
if (d != e)
{
printf ("Error 3 in check_overflow for %s, %s\n",
neg ? "negative" : "positive",
mpfr_print_rnd_mode (r));
err = 1;
}
}
mpfr_clear (x);
if (err)
exit (1);
}
static void
check_tiny (void)
{
mpfr_t x;
_Decimal64 d;
/* If 0.5E-398 < |x| < 1E-398 (smallest subnormal), x should round
to +/- 1E-398 in MPFR_RNDN. Note: the midpoint 0.5E-398 between
0 and 1E-398 is not a representable binary number, so that there
are no tests for it. */
mpfr_init2 (x, 128);
mpfr_set_str (x, "1E-398", 10, MPFR_RNDZ);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN (d == 1.0E-398dd);
mpfr_neg (x, x, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN (d == -1.0E-398dd);
mpfr_set_str (x, "0.5E-398", 10, MPFR_RNDU);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN (d == 1.0E-398dd);
mpfr_neg (x, x, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN (d == -1.0E-398dd);
mpfr_clear (x);
}
int
main (void)
{
tests_start_mpfr ();
mpfr_test_init ();
#ifdef MPFR_DEBUG
#ifdef DPD_FORMAT
printf ("Using DPD format\n");
#else
printf ("Using BID format\n");
#endif
#endif
check_misc ();
check_random ();
check_native ();
#if !defined(MPFR_ERRDIVZERO)
check_overflow ();
#endif
check_tiny ();
tests_end_mpfr ();
return 0;
}
#else /* MPFR_WANT_DECIMAL_FLOATS */
int
main (void)
{
return 77;
}
#endif /* MPFR_WANT_DECIMAL_FLOATS */