buildtools/gcc/mpfr/tests/tget_set_d128.c
Fredrik Holmqvist 0af6003997 Redo Update MPFR to 4.1.0
GCC had a horrible .gitignore, untracked files were not applied
2020-07-22 10:11:52 +02:00

596 lines
18 KiB
C

/* Test file for mpfr_set_decimal128 and mpfr_get_decimal128.
Copyright 2018-2020 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
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
/* Needed due to the test on MPFR_WANT_DECIMAL_FLOATS */
#ifdef HAVE_CONFIG_H
# include "config.h"
#endif
#ifdef MPFR_WANT_DECIMAL_FLOATS
#include "mpfr-test.h"
#ifndef DEC128_MAX
# define DEC128_MAX 9.999999999999999999999999999999999E6144dl
#endif
static void
print_decimal128 (_Decimal128 d)
{
if (DOUBLE_ISNAN (d))
printf ("NaN");
else if (d > DEC128_MAX)
printf ("Inf");
else if (d < -DEC128_MAX)
printf ("-Inf");
else if (d == 0)
{
printf ("%.1f", (double) d);
}
else /* regular number */
{
long e = 0;
while (d < 1.0dl)
{
d *= 10.0dl;
e --;
}
/* now d >= 1 */
while (d > 10.0dl)
{
d /= 10.0dl;
e ++;
}
/* now 1 <= d < 10 */
printf ("%.33LfE%ld", (long double) d, e);
}
printf ("\n");
}
#define PRINT_ERR_MISC(V) \
do \
{ \
printf ("Error in check_misc for %s.\n", V); \
printf (" mpfr_get_decimal128() returned: "); \
print_decimal128 (d); \
printf (" mpfr_set_decimal128() set x to: "); \
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); \
printf (" approx.\n = "); \
mpfr_dump (x); \
exit (1); \
} \
while (0)
static void
test_set (void)
{
long v[] = { 1, -1, 2147483647, -2147483647 };
mpfr_t x;
mpfr_flags_t flags;
int i, inex;
mpfr_init2 (x, 53);
for (i = 0; i < numberof (v); i++)
{
mpfr_clear_flags ();
inex = mpfr_set_decimal128 (x, (_Decimal128) v[i], MPFR_RNDN);
flags = __gmpfr_flags;
if (mpfr_cmp_si (x, v[i]) != 0 || inex != 0 || flags != 0)
{
printf ("Error in test_set for i=%d\n", i);
printf ("Expected %ld\n with inex = 0 and flags =", v[i]);
flags_out (0);
printf ("Got ");
mpfr_dump (x);
printf (" with inex = %d and flags =", inex);
flags_out (flags);
exit (1);
}
}
mpfr_clear (x);
}
static void
powers_of_10 (void)
{
mpfr_t x1, x2;
_Decimal128 d[2];
int i, rnd;
unsigned int neg;
mpfr_inits2 (200, x1, x2, (mpfr_ptr) 0);
for (i = 0, d[0] = 1, d[1] = 1; i < 150; i++, d[0] *= 10, d[1] /= 10)
for (neg = 0; neg <= 3; neg++)
RND_LOOP_NO_RNDF (rnd)
{
int inex1, inex2;
mpfr_flags_t flags1, flags2;
mpfr_rnd_t rx1;
_Decimal128 dd;
inex1 = mpfr_set_si (x1, (neg >> 1) ? -i : i, MPFR_RNDN);
MPFR_ASSERTN (inex1 == 0);
rx1 = (neg & 1) ?
MPFR_INVERT_RND ((mpfr_rnd_t) rnd) : (mpfr_rnd_t) rnd;
mpfr_clear_flags ();
inex1 = mpfr_exp10 (x1, x1, rx1);
flags1 = __gmpfr_flags;
dd = d[neg >> 1];
if (neg & 1)
{
MPFR_SET_NEG (x1);
inex1 = -inex1;
dd = -dd;
}
mpfr_clear_flags ();
inex2 = mpfr_set_decimal128 (x2, dd, (mpfr_rnd_t) rnd);
flags2 = __gmpfr_flags;
if (!(mpfr_equal_p (x1, x2) &&
SAME_SIGN (inex1, inex2) &&
flags1 == flags2))
{
printf ("Error in powers_of_10 for i=%d, neg=%d, %s\n",
i, neg, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
printf ("Expected ");
mpfr_dump (x1);
printf ("with inex = %d and flags =", inex1);
flags_out (flags1);
printf ("Got ");
mpfr_dump (x2);
printf ("with inex = %d and flags =", inex2);
flags_out (flags2);
exit (1);
}
}
mpfr_clears (x1, x2, (mpfr_ptr) 0);
}
static void
check_misc (void)
{
mpfr_t x, y;
_Decimal128 d;
mpfr_init2 (x, 123);
mpfr_init2 (y, 123);
#if !defined(MPFR_ERRDIVZERO)
mpfr_set_nan (x);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDZ);
MPFR_ASSERTN (mpfr_nan_p (x));
mpfr_set_inf (x, 1);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 1, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (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_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDZ);
if (mpfr_cmp_ui (x, 99) != 0)
PRINT_ERR_MISC ("99");
mpfr_set_str (x, "9999999999999999999999999999999999", 10, MPFR_RNDZ);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDZ);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("9999999999999999999999999999999999");
/* smallest normal number */
mpfr_set_str (x, "1E-6143", 10, MPFR_RNDU);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDU);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("1E-6143");
/* smallest subnormal number */
mpfr_set_str (x, "1E-6176", 10, MPFR_RNDU);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDU);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("1E-6176");
/* exercise case e < -20517, i.e., x < 0.5*2^(-20517) */
mpfr_set_ui_2exp (x, 1, -20518, MPFR_RNDN);
mpfr_nextbelow (x);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
/* d should equal +0 */
mpfr_set_decimal128 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 0);
/* check RNDA */
mpfr_set_ui_2exp (x, 1, -20518, MPFR_RNDN);
mpfr_nextbelow (x);
d = mpfr_get_decimal128 (x, MPFR_RNDA);
/* d should equal 1E-6176 */
mpfr_set_decimal128 (x, d, MPFR_RNDN);
mpfr_set_str (y, "1E-6176", 10, MPFR_RNDN);
MPFR_ASSERTN(mpfr_equal_p (x, y));
/* check negative number */
mpfr_set_ui_2exp (x, 1, -20518, MPFR_RNDN);
mpfr_nextbelow (x);
mpfr_neg (x, x, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
/* d should equal -0 */
mpfr_set_decimal128 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 1);
/* exercise case e10 < -6175 */
mpfr_set_ui_2exp (x, 1, -20517, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 0);
mpfr_set_ui_2exp (x, 1, -20517, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDU);
mpfr_set_str (y, "1E-6176", 10, MPFR_RNDN);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_equal_p (x, y));
mpfr_set_ui_2exp (x, 1, -20517, MPFR_RNDN);
/* 2^(-20517) = 5.85570193228610e-6177 thus should be rounded to 1E-6176 */
d = mpfr_get_decimal128 (x, MPFR_RNDN);
mpfr_set_str (y, "1E-6176", 10, MPFR_RNDN);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_equal_p (x, y));
/* subnormal number with exponent change when we round back
from 34 digits to 1 digit */
// mpfr_set_str (x, "9.9E-6176", 10, MPFR_RNDN);
mpfr_set_str (x, "9.9E-6176", 10, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDU); /* should be 1E-6175 */
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDU);
mpfr_set_str (y, "1E-6175", 10, MPFR_RNDN);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("9.9E-6176");
/* largest number */
mpfr_set_str (x, "9.999999999999999999999999999999999E6144", 10, MPFR_RNDZ);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal128 (x, MPFR_RNDU);
if (d == DEC128_MAX)
{
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDZ);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("DEC128_MAX");
}
else
{
printf ("Error in check_misc for DEC128_MAX.\n");
printf (" mpfr_get_decimal128() returned: ");
print_decimal128 (d);
exit (1);
}
mpfr_set_str (x, "-9.999999999999999999999999999999999E6144", 10, MPFR_RNDZ);
mpfr_set (y, x, MPFR_RNDZ);
d = mpfr_get_decimal128 (x, MPFR_RNDA);
if (d == -DEC128_MAX)
{
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDZ);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("-DEC128_MAX");
}
else
{
printf ("Error in check_misc for -DEC128_MAX.\n");
printf (" mpfr_get_decimal128() returned: ");
print_decimal128 (d);
exit (1);
}
/* exercise |x| > DEC128_MAX */
mpfr_set_str (x, "10E6144", 10, MPFR_RNDU);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
MPFR_ASSERTN(d == DEC128_MAX);
mpfr_set_str (x, "-10E6144", 10, MPFR_RNDU);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
MPFR_ASSERTN(d == -DEC128_MAX);
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
/* largest number */
mpfr_set_str (x, "9.999999999999999999999999999999999E6144", 10, MPFR_RNDZ);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
mpfr_set_decimal128 (y, d, MPFR_RNDU);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("DEC128_MAX (2)");
/* since 1+ceil(109*log(2)/log(10)) = 34, the 109-bit value x, when
converted to a 34-digit decimal d, gives back x when converted back to
binary */
mpfr_set_prec (x, 109);
mpfr_set_prec (y, 109);
mpfr_set_str (x, "1E1793", 10, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
mpfr_set_str (y, "1E1793", 10, MPFR_RNDN);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("1E1793");
mpfr_set_str (x, "2E4095", 10, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
mpfr_set_str (y, "2E4095", 10, MPFR_RNDN);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("2E4095");
mpfr_set_str (x, "2E-4096", 10, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
mpfr_set_str (y, "2E-4096", 10, MPFR_RNDN);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("2E-4096");
mpfr_set_str (x, "2E-6110", 10, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDZ);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
mpfr_set_str (y, "2E-6110", 10, MPFR_RNDN);
if (! mpfr_equal_p (x, y))
PRINT_ERR_MISC ("2E-6110");
/* case where EXP(x) > 20414, thus outside the decimal128 range */
mpfr_set_ui_2exp (x, 1, 20414, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
MPFR_ASSERTN(d == DEC128_MAX);
d = mpfr_get_decimal128 (x, MPFR_RNDA);
MPFR_ASSERTN(d > DEC128_MAX); /* implies d = +Inf */
mpfr_set_si_2exp (x, -1, 20414, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDZ);
MPFR_ASSERTN(d == -DEC128_MAX);
d = mpfr_get_decimal128 (x, MPFR_RNDA);
MPFR_ASSERTN(d < -DEC128_MAX); /* implies d = -Inf */
/* case where EXP(x) = 20414, at the limit of the decimal128 range */
mpfr_set_ui_2exp (x, 3, 20412, MPFR_RNDN); /* 3*2^20412 > 9.999...E6144 */
d = mpfr_get_decimal128 (x, MPFR_RNDN);
MPFR_ASSERTN(d > DEC128_MAX); /* implies d = +Inf */
mpfr_set_si_2exp (x, -3, 20412, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDN);
MPFR_ASSERTN(d < -DEC128_MAX); /* implies d = -Inf */
{
unsigned long i;
for (i = 1; i < 1000; i++)
{
mpfr_set_ui_2exp (x, i, 20403, MPFR_RNDN);
d = mpfr_get_decimal128 (x, MPFR_RNDN);
mpfr_set_decimal128 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui_2exp (x, i, 20403) == 0);
}
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
noncanonical (void)
{
/* The code below assumes BID. */
#if HAVE_DECIMAL128_IEEE && defined(DECIMAL_BID_FORMAT)
union ieee_decimal128 x;
MPFR_ASSERTN (sizeof (x) == 16);
/* produce a non-canonical decimal128 with Gh >= 24 */
x.d128 = 1;
/* if BID, we have sig=0, comb=49408, t0=t1=t2=0, t3=1 */
if (x.s.sig == 0 && x.s.comb == 49408 && x.s.t0 == 0 && x.s.t1 == 0 &&
x.s.t2 == 0 && x.s.t3 == 1)
{
/* The volatile below avoids _Decimal128 constant propagation, which is
buggy for non-canonical encoding in various GCC versions on the x86
and x86_64 targets: failure in the second test below ("Error 2")
with gcc (Debian 20190820-1) 10.0.0 20190820 (experimental)
[trunk revision 274744]. The MPFR test was not failing with previous
GCC versions, not even with gcc (Debian 20190719-1) 10.0.0 20190718
(experimental) [trunk revision 273586] (contrary to the similar test
in tget_set_d64.c). More information at:
https://gcc.gnu.org/bugzilla/show_bug.cgi?id=91226
*/
volatile _Decimal128 d = 9999999999999999999999999999999999.0dl;
mpfr_t y;
x.s.comb = 98560; /* force Gh >= 24 thus a non-canonical number
(significand >= 2^113 > 20^34-1) */
mpfr_init2 (y, 113);
mpfr_set_decimal128 (y, x.d128, MPFR_RNDN);
if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
{
int i;
printf ("Error 1 in noncanonical on");
for (i = 0; i < 16; i++)
printf (" %02X", ((unsigned char *)&x)[i]);
printf ("\nExpected +0, got:\n");
mpfr_dump (y);
exit (1);
}
/* now construct a case Gh < 24, but where the significand exceeds
10^34-1 */
x.d128 = d;
/* should give sig=0, comb=49415, t0=11529, t1=3199043520,
t2=932023907, t3=4294967295 */
x.s.t3 ++; /* should give 0 */
x.s.t2 += (x.s.t3 == 0);
/* now the significand is 10^34 */
mpfr_set_decimal128 (y, x.d128, MPFR_RNDN);
if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
{
int i;
printf ("Error 2 in noncanonical on");
for (i = 0; i < 16; i++)
printf (" %02X", ((unsigned char *)&x)[i]);
printf ("\nExpected +0, got:\n");
mpfr_dump (y);
exit (1);
}
mpfr_clear (y);
}
else
printf ("Warning! Unexpected value of x in noncanonical.\n");
#endif
}
/* generate random sequences of 16 bytes and interpret them as _Decimal128 */
static void
check_random_bytes (void)
{
union {
_Decimal128 d;
unsigned char c[16];
} x;
int i;
mpfr_t y;
_Decimal128 e;
mpfr_init2 (y, 114); /* 114 = 1 + ceil(34*log(10)/log(2)), thus ensures
that if a decimal128 number is converted to a 114-bit
value and back, we should get the same value */
for (i = 0; i < 100000; i++)
{
int j;
for (j = 0; j < 16; j++)
x.c[j] = randlimb () & 255;
mpfr_set_decimal128 (y, x.d, MPFR_RNDN);
e = mpfr_get_decimal128 (y, MPFR_RNDN);
if (!mpfr_nan_p (y))
if (x.d != e)
{
printf ("check_random_bytes failed\n");
printf ("x.d="); print_decimal128 (x.d);
printf ("y="); mpfr_dump (y);
printf ("e="); print_decimal128 (e);
exit (1);
}
}
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
int verbose = argc > 1;
tests_start_mpfr ();
mpfr_test_init ();
if (verbose)
{
#ifdef DECIMAL_DPD_FORMAT
printf ("Using DPD encoding\n");
#endif
#ifdef DECIMAL_BID_FORMAT
printf ("Using BID encoding\n");
#endif
}
#if !defined(MPFR_ERRDIVZERO)
check_random_bytes ();
#endif
test_set ();
powers_of_10 ();
#if !defined(MPFR_ERRDIVZERO)
check_misc ();
#endif
noncanonical ();
tests_end_mpfr ();
return 0;
}
#else /* MPFR_WANT_DECIMAL_FLOATS */
int
main (void)
{
return 77;
}
#endif /* MPFR_WANT_DECIMAL_FLOATS */