/* Test file for mpfr_set_ld and mpfr_get_ld.
Copyright 2002-2017 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. */
#include <stdio.h>
#include <stdlib.h>
#include <float.h>
#include <limits.h>
#ifdef WITH_FPU_CONTROL
#include <fpu_control.h>
#endif
#include "mpfr-test.h"
static void
check_gcc33_bug (void)
{
volatile long double x;
x = (long double) 9007199254740992.0 + 1.0;
if (x != 0.0)
return; /* OK */
printf
("Detected optimization bug of gcc 3.3 on Alpha concerning long double\n"
"comparisons; set_ld tests might fail (set_ld won't work correctly).\n"
"See http://gcc.gnu.org/ml/gcc-bugs/2003-10/msg00853.html for more\n"
"information.\n");
}
static int
Isnan_ld (long double d)
{
/* Do not convert d to double as this can give an overflow, which
may confuse compilers without IEEE 754 support (such as clang
-fsanitize=undefined), or trigger a trap if enabled.
The DOUBLE_ISNAN macro should work fine on long double. */
if (DOUBLE_ISNAN (d))
return 1;
LONGDOUBLE_NAN_ACTION (d, goto yes);
return 0;
yes:
return 1;
}
/* checks that a long double converted to a mpfr (with precision >=113),
then converted back to a long double gives the initial value,
or in other words mpfr_get_ld(mpfr_set_ld(d)) = d.
*/
static void
check_set_get (long double d, mpfr_t x)
{
int r;
long double e;
int inex;
for (r = 0; r < MPFR_RND_MAX; r++)
{
inex = mpfr_set_ld (x, d, (mpfr_rnd_t) r);
if (inex != 0)
{
mpfr_exp_t emin, emax;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
printf ("Error: mpfr_set_ld should be exact\n");
printf ("d=%1.30Le inex=%d\n", d, inex);
if (emin >= LONG_MIN)
printf ("emin=%ld\n", (long) emin);
if (emax <= LONG_MAX)
printf ("emax=%ld\n", (long) emax);
mpfr_dump (x);
exit (1);
}
e = mpfr_get_ld (x, (mpfr_rnd_t) r);
if ((Isnan_ld(d) && ! Isnan_ld(e)) ||
(Isnan_ld(e) && ! Isnan_ld(d)) ||
(e != d && !(Isnan_ld(e) && Isnan_ld(d))))
{
printf ("Error: mpfr_get_ld o mpfr_set_ld <> Id\n");
printf (" r=%d\n", r);
printf (" d=%1.30Le get_ld(set_ld(d))=%1.30Le\n", d, e);
ld_trace (" d", d);
printf (" x="); mpfr_out_str (NULL, 16, 0, x, MPFR_RNDN);
printf ("\n");
ld_trace (" e", e);
#ifdef MPFR_NANISNAN
if (Isnan_ld(d) || Isnan_ld(e))
printf ("The reason is that NAN == NAN. Please look at the "
"configure output\nand Section \"In case of problem\" "
"of the INSTALL file.\n");
#endif
exit (1);
}
}
}
static void
test_small (void)
{
mpfr_t x, y, z;
long double d;
mpfr_init2 (x, 64);
mpfr_init2 (y, 64);
mpfr_init2 (z, 64);
/* x = 11906603631607553907/2^(16381+64) */
mpfr_set_str (x, "0.1010010100111100110000001110101101000111010110000001111101110011E-16381", 2, MPFR_RNDN);
d = mpfr_get_ld (x, MPFR_RNDN); /* infinite loop? */
mpfr_set_ld (y, d, MPFR_RNDN);
mpfr_sub (z, x, y, MPFR_RNDN);
mpfr_abs (z, z, MPFR_RNDN);
mpfr_clear_erangeflag ();
/* If long double = double, d should be equal to 0;
in this case, everything is OK. */
if (d != 0 && (mpfr_cmp_str (z, "1E-16434", 2, MPFR_RNDN) > 0 ||
mpfr_erangeflag_p ()))
{
printf ("Error with x = ");
mpfr_out_str (NULL, 10, 21, x, MPFR_RNDN);
printf (" = ");
mpfr_out_str (NULL, 16, 0, x, MPFR_RNDN);
printf ("\n -> d = %.21Lg", d);
printf ("\n -> y = ");
mpfr_out_str (NULL, 10, 21, y, MPFR_RNDN);
printf (" = ");
mpfr_out_str (NULL, 16, 0, y, MPFR_RNDN);
printf ("\n -> |x-y| = ");
mpfr_out_str (NULL, 16, 0, z, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
static void
test_fixed_bugs (void)
{
mpfr_t x;
long double l, m;
/* bug found by Steve Kargl (2009-03-14) */
mpfr_init2 (x, 64);
mpfr_set_ui_2exp (x, 1, -16447, MPFR_RNDN);
mpfr_get_ld (x, MPFR_RNDN); /* an assertion failed in init2.c:50 */
/* bug reported by Jakub Jelinek (2010-10-17)
https://gforge.inria.fr/tracker/?func=detail&aid=11300 */
mpfr_set_prec (x, MPFR_LDBL_MANT_DIG);
/* l = 0x1.23456789abcdef0123456789abcdp-914L; */
l = 8.215640181713713164092636634579e-276;
mpfr_set_ld (x, l, MPFR_RNDN);
m = mpfr_get_ld (x, MPFR_RNDN);
if (m != l)
{
printf ("Error in get_ld o set_ld for l=%Le\n", l);
printf ("Got m=%Le instead of l\n", m);
exit (1);
}
/* another similar test which failed with extended double precision and the
generic code for mpfr_set_ld */
/* l = 0x1.23456789abcdef0123456789abcdp-968L; */
l = 4.560596445887084662336528403703e-292;
mpfr_set_ld (x, l, MPFR_RNDN);
m = mpfr_get_ld (x, MPFR_RNDN);
if (m != l)
{
printf ("Error in get_ld o set_ld for l=%Le\n", l);
printf ("Got m=%Le instead of l\n", m);
exit (1);
}
mpfr_clear (x);
}
/* bug reported by Walter Mascarenhas
https://sympa.inria.fr/sympa/arc/mpfr/2016-09/msg00005.html */
static void
bug_20160907 (void)
{
#if HAVE_LDOUBLE_IEEE_EXT_LITTLE
long double dn, ld;
mpfr_t mp;
long e;
mpfr_long_double_t x;
/* the following is the encoding of the smallest subnormal number
for HAVE_LDOUBLE_IEEE_EXT_LITTLE */
x.s.manl = 1;
x.s.manh = 0;
x.s.expl = 0;
x.s.exph = 0;
x.s.sign= 0;
dn = x.ld;
e = -16445;
/* dn=2^e is now the smallest subnormal. */
mpfr_init2 (mp, 64);
mpfr_set_ui_2exp (mp, 1, e - 1, MPFR_RNDN);
ld = mpfr_get_ld (mp, MPFR_RNDU);
/* since mp = 2^(e-1) and ld is rounded upwards, we should have
ld = 2^e */
if (ld != dn)
{
printf ("Error, ld = %Le <> dn = %Le\n", ld, dn);
printf ("mp=");
mpfr_out_str (stdout, 10, 0, mp, MPFR_RNDN);
printf ("\n");
exit (1);
}
/* check a few more numbers */
for (e = -16446; e <= -16381; e++)
{
mpfr_set_ui_2exp (mp, 1, e, MPFR_RNDN);
ld = mpfr_get_ld (mp, MPFR_RNDU);
mpfr_set_ld (mp, ld, MPFR_RNDU);
/* mp is 2^e rounded up, thus should be >= 2^e */
MPFR_ASSERTN(mpfr_cmp_ui_2exp (mp, 1, e) >= 0);
mpfr_set_ui_2exp (mp, 1, e, MPFR_RNDN);
ld = mpfr_get_ld (mp, MPFR_RNDD);
mpfr_set_ld (mp, ld, MPFR_RNDD);
/* mp is 2^e rounded down, thus should be <= 2^e */
if (mpfr_cmp_ui_2exp (mp, 3, e) > 0)
{
printf ("Error, expected value <= 2^%ld\n", e);
printf ("got "); mpfr_dump (mp);
exit (1);
}
}
mpfr_clear (mp);
#endif
}
int
main (int argc, char *argv[])
{
long double d, e;
mpfr_t x;
int i;
mpfr_exp_t emax;
#ifdef WITH_FPU_CONTROL
fpu_control_t cw;
if (argc > 1)
{
cw = strtol(argv[1], NULL, 0);
printf ("FPU control word: 0x%x\n", (unsigned int) cw);
_FPU_SETCW (cw);
}
#endif
tests_start_mpfr ();
mpfr_test_init ();
check_gcc33_bug ();
test_fixed_bugs ();
mpfr_init2 (x, MPFR_LDBL_MANT_DIG);
#if !defined(MPFR_ERRDIVZERO)
/* check NaN */
mpfr_set_nan (x);
d = mpfr_get_ld (x, MPFR_RNDN);
check_set_get (d, x);
#endif
/* check +0.0 and -0.0 */
d = 0.0;
check_set_get (d, x);
d = DBL_NEG_ZERO;
check_set_get (d, x);
/* check that the sign of -0.0 is set */
mpfr_set_ld (x, DBL_NEG_ZERO, MPFR_RNDN);
if (MPFR_SIGN(x) > 0)
{
printf ("Error: sign of -0.0 is not set correctly\n");
#if _GMP_IEEE_FLOATS
exit (1);
/* Non IEEE doesn't support negative zero yet */
#endif
}
#if !defined(MPFR_ERRDIVZERO)
/* check +Inf */
mpfr_set_inf (x, 1);
d = mpfr_get_ld (x, MPFR_RNDN);
check_set_get (d, x);
/* check -Inf */
mpfr_set_inf (x, -1);
d = mpfr_get_ld (x, MPFR_RNDN);
check_set_get (d, x);
#endif
/* check the largest power of two */
d = 1.0; while (d < LDBL_MAX / 2.0) d += d;
check_set_get (d, x);
check_set_get (-d, x);
/* check largest long double */
d = LDBL_MAX;
check_set_get (d, x);
check_set_get (-d, x);
/* check the smallest power of two */
d = 1.0;
while ((e = d / 2.0) != (long double) 0.0 && e != d)
d = e;
check_set_get (d, x);
check_set_get (-d, x);
/* check largest 2^(2^k) that is representable as a long double */
d = (LDBL_MAX / 2) + (LDBL_MAX / 4 * LDBL_EPSILON);
check_set_get (d, x);
/* check that 2^i, 2^i+1 and 2^i-1 are correctly converted */
d = 1.0;
for (i = 1; i < MPFR_LDBL_MANT_DIG; i++)
{
d = 2.0 * d; /* d = 2^i */
check_set_get (d, x);
check_set_get (d + 1.0, x);
check_set_get (d - 1.0, x);
}
for (i = 0; i < 10000; i++)
{
mpfr_urandomb (x, RANDS);
d = mpfr_get_ld (x, MPFR_RNDN);
check_set_get (d, x);
}
/* check with reduced emax to exercise overflow */
emax = mpfr_get_emax ();
mpfr_set_prec (x, 2);
set_emax (1);
mpfr_set_ld (x, (long double) 2.0, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
for (d = (long double) 2.0, i = 0; i < 13; i++, d *= d);
/* now d = 2^8192 */
mpfr_set_ld (x, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
set_emax (emax);
mpfr_clear (x);
test_small ();
bug_20160907 ();
tests_end_mpfr ();
return 0;
}