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/* Test file for mpfr_get_decimal64 and mpfr_set_decimal64.
Copyright 2006-2025 Free Software Foundation, Inc.
Contributed by the Pascaline 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/>. */
/* 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 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); \
exit (1); \
} \
while (0)
static void
check_misc (void)
{
mpfr_t x, y;
_Decimal64 d;
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");
/* exercise case e < -1323, i.e., x < 0.5*2^(-1323) */
mpfr_set_ui_2exp (x, 1, -1324, MPFR_RNDN);
mpfr_nextbelow (x);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
/* d should equal +0 */
mpfr_set_decimal64 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 0);
/* check RNDA */
mpfr_set_ui_2exp (x, 1, -1324, MPFR_RNDN);
mpfr_nextbelow (x);
d = mpfr_get_decimal64 (x, MPFR_RNDA);
/* d should equal 1E-398 */
mpfr_set_decimal64 (x, d, MPFR_RNDN);
mpfr_set_str (y, "1E-398", 10, MPFR_RNDN);
MPFR_ASSERTN(mpfr_equal_p (x, y));
/* check negative number */
mpfr_set_ui_2exp (x, 1, -1324, MPFR_RNDN);
mpfr_nextbelow (x);
mpfr_neg (x, x, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
/* d should equal -0 */
mpfr_set_decimal64 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 1);
/* exercise case e10 < -397 */
mpfr_set_ui_2exp (x, 1, -1323, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDZ);
mpfr_set_decimal64 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 0);
mpfr_set_ui_2exp (x, 1, -1323, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDU);
mpfr_set_str (y, "1E-398", 10, MPFR_RNDN);
mpfr_set_decimal64 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_equal_p (x, y));
mpfr_set_ui_2exp (x, 1, -1323, MPFR_RNDN);
/* 2^(-1323) = 5.46154776930125e-399 thus should be rounded to 1E-398 */
d = mpfr_get_decimal64 (x, MPFR_RNDN);
mpfr_set_str (y, "1E-398", 10, MPFR_RNDN);
mpfr_set_decimal64 (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_equal_p (x, y));
/* 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);
exit (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);
exit (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);
}
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_2ui (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_equal_p (x, y))
{
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.dd);
mpfr_set_ui (x, 42, MPFR_RNDN);
d = mpfr_get_decimal64 (x, MPFR_RNDN);
MPFR_ASSERTN(d == 42.dd);
mpfr_set_decimal64 (x, 17.dd, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 17) == 0);
mpfr_set_decimal64 (x, 17.0dd, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 17) == 0);
mpfr_set_decimal64 (x, 42.dd, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (x, 42) == 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);
}
static void
powers_of_10 (void)
{
mpfr_t x1, x2;
_Decimal64 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;
_Decimal64 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_decimal64 (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
noncanonical (void)
{
/* The code below assumes BID. It also needs _MPFR_IEEE_FLOATS
due to the use of union mpfr_ieee_double_extract. */
#if _MPFR_IEEE_FLOATS && defined(DECIMAL_BID_FORMAT)
/* The volatile below avoids _Decimal64 constant propagation, which is
buggy for non-canonical encoding in various GCC versions on the x86 and
x86_64 targets: failure with gcc (Debian 20190719-1) 10.0.0 20190718
(experimental) [trunk revision 273586]; the MPFR test was not failing
with previous GCC versions, but GCC versions 5 to 9 are also affected
on the simple testcase at:
https://gcc.gnu.org/bugzilla/show_bug.cgi?id=91226
*/
volatile _Decimal64 d = 9999999999999999.dd;
union mpfr_ieee_double_extract x;
union ieee_double_decimal64 y;
MPFR_ASSERTN (sizeof (x) == 8);
MPFR_ASSERTN (sizeof (y) == 8);
/* test for non-canonical encoding */
y.d64 = d;
memcpy (&x, &y, 8);
/* if BID, we have sig=0, exp=1735, manh=231154, manl=1874919423 */
if (x.s.sig == 0 && x.s.exp == 1735 && x.s.manh == 231154 &&
x.s.manl == 1874919423)
{
mpfr_t z;
mpfr_init2 (z, 54); /* 54 bits ensure z is exact, since 10^16 < 2^54 */
x.s.manl += 1; /* then the significand equals 10^16 */
memcpy (&y, &x, 8);
mpfr_set_decimal64 (z, y.d64, MPFR_RNDN);
if (MPFR_NOTZERO (z) || MPFR_IS_NEG (z))
{
int i;
printf ("Error in noncanonical on");
for (i = 0; i < 8; i++)
printf (" %02X", ((unsigned char *)&y)[i]);
printf ("\nExpected +0, got:\n");
mpfr_dump (z);
exit (1);
}
mpfr_clear (z);
}
else
printf ("Warning! Unexpected value of x in noncanonical.\n");
#endif
}
/* generate random sequences of 8 bytes and interpret them as _Decimal64 */
static void
check_random_bytes (void)
{
union {
_Decimal64 d;
unsigned char c[8];
} x;
int i;
mpfr_t y;
_Decimal64 e;
mpfr_init2 (y, 55); /* 55 = 1 + ceil(16*log(10)/log(2)), thus ensures
that if a decimal64 number is converted to a 55-bit
value and back, we should get the same value */
for (i = 0; i < 100000; i++)
{
int j;
for (j = 0; j < 8; j++)
x.c[j] = randlimb () & 255;
mpfr_set_decimal64 (y, x.d, MPFR_RNDN);
e = mpfr_get_decimal64 (y, MPFR_RNDN);
if (!mpfr_nan_p (y))
if (x.d != e)
{
printf ("check_random_bytes failed\n");
printf ("x.d="); print_decimal64 (x.d);
printf ("y="); mpfr_dump (y);
printf ("e ="); print_decimal64 (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
noncanonical ();
check_misc ();
check_random ();
check_native ();
#if !defined(MPFR_ERRDIVZERO)
check_overflow ();
#endif
check_tiny ();
powers_of_10 ();
tests_end_mpfr ();
return 0;
}
#else /* MPFR_WANT_DECIMAL_FLOATS */
int
main (void)
{
return 77;
}
#endif /* MPFR_WANT_DECIMAL_FLOATS */
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