glibc/sysdeps/ieee754/ldbl-128/s_roundl.c
Joseph Myers 7d0b257541 Fix ldbl-128 roundl for exponents in [31, 47] (bug 18346).
The implementation of roundl for ldbl-128 involves undefined behavior
for arguments with exponents from 31 to 47 inclusive, from the shift:

      u_int64_t i = -1ULL >> (j0 - 48);

For example, on mips64, this means roundl (0xffffffffffff.8p0L)
wrongly returns its argument, which is not an integer.  A condition
checking for exponents < 31 should actually be checking for exponents
< 48, and this patch makes it do so.  (That condition is for whether
the bit representing 0.5 is in the high 64-bit half of the
floating-point number.  The value 31 might have arisen from an
incorrect conversion of the ldbl-96 version to handle ldbl-128.)

This was originally reported as a GCC libquadmath bug
<https://gcc.gnu.org/bugzilla/show_bug.cgi?id=65757>.

Tested for mips64; also tested for x86_64 and x86 to make sure the new
tests pass there.

	[BZ #18346]
	* sysdeps/ieee754/ldbl-128/s_roundl.c (__roundl): Handle all
	exponents less than 48 as cases where high part of mantissa needs
	examining to determine whether argument is integral.
	* math/libm-test.inc (round_test_data): Add more tests.
2015-04-28 17:27:02 +00:00

94 lines
2.1 KiB
C

/* Round long double to integer away from zero.
Copyright (C) 1997-2015 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
Jakub Jelinek <jj@ultra.linux.cz>, 1999.
The GNU C 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 GNU C 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 C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include <math.h>
#include <math_private.h>
static const long double huge = 1.0E4930L;
long double
__roundl (long double x)
{
int32_t j0;
u_int64_t i1, i0;
GET_LDOUBLE_WORDS64 (i0, i1, x);
j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
if (j0 < 48)
{
if (j0 < 0)
{
if (huge + x > 0.0)
{
i0 &= 0x8000000000000000ULL;
if (j0 == -1)
i0 |= 0x3fff000000000000LL;
i1 = 0;
}
}
else
{
u_int64_t i = 0x0000ffffffffffffLL >> j0;
if (((i0 & i) | i1) == 0)
/* X is integral. */
return x;
if (huge + x > 0.0)
{
/* Raise inexact if x != 0. */
i0 += 0x0000800000000000LL >> j0;
i0 &= ~i;
i1 = 0;
}
}
}
else if (j0 > 111)
{
if (j0 == 0x4000)
/* Inf or NaN. */
return x + x;
else
return x;
}
else
{
u_int64_t i = -1ULL >> (j0 - 48);
if ((i1 & i) == 0)
/* X is integral. */
return x;
if (huge + x > 0.0)
{
/* Raise inexact if x != 0. */
u_int64_t j = i1 + (1LL << (111 - j0));
if (j < i1)
i0 += 1;
i1 = j;
}
i1 &= ~i;
}
SET_LDOUBLE_WORDS64 (x, i0, i1);
return x;
}
weak_alias (__roundl, roundl)