Commit Graph

863 Commits

Author SHA1 Message Date
Joseph Myers
38755f1421 Add more tests of asin.
This patch adds some randomly-generated tests of asin that are
observed to increase ulps on x86_64.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of asin.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-03-25 17:53:58 +00:00
Joseph Myers
8d6439712d Add more tests of acos.
This patch adds some randomly-generated tests of acos that are
observed to increase ulps on x86_64.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of acos.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-03-25 00:30:10 +00:00
Joseph Myers
bc899ea090 Add more tests of expm1.
This patch adds some randomly-generated tests of expm1 that are
observed to increase ulps on x86_64.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of expm1.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-03-25 00:05:13 +00:00
Joseph Myers
239ed6f309 Add more tests of cosh, sinh.
This patch adds some randomly-generated tests of cosh and sinh that
are observed to increase ulps on x86_64.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of cosh and sinh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-03-24 23:48:04 +00:00
Joseph Myers
7c84a5042f Add more tests of log2.
In testing for x86_64 on an AMD processor, I observed libm test
failures of the form:

testing long double (without inline functions)
Failure: Test: log2_downward (0x2.b7e151628aed4p+0)
Result:
 is:          1.44269504088896356633e+00   0xb.8aa3b295c17f67600000p-3
 should be:   1.44269504088896356622e+00   0xb.8aa3b295c17f67500000p-3
 difference:  1.08420217248550443400e-19   0x8.00000000000000000000p-66
 ulp       :  1.0000
 max.ulp   :  0.0000
Maximal error of `log2_downward'
 is      : 1 ulp
 accepted: 0 ulp

These issues arise because the maximum ulps when regenerating on one
processor are not the same as on another processor, so regeneration on
several processors may be needed when updating libm-test-ulps to avoid
failures for some users testing glibc - but such regeneration on
multiple processors is inconvenient.  Causes can be: on x86 and, for
x86_64, for long double, variation in results of x87 instructions for
transcendental operations between processors; on x86, variation in
compiler excess precision between compiler versions and
configurations; on any processor where the compiler may contract
expressions using fused multiply-add, variation in what contraction
occurs.

Although it's hard to be sure libm-test-ulps covers all ulps that may
be seen in any configuration for the given architecture, in practice
it helps simply to add wider test coverage to make it more likely
that, when testing on one processor, the ulps seen are the biggest
that can be seen for that function on that processor, and hopefully
they are also the biggest that can be seen for that function in other
configurations for that architecture.  Thus, this patch adds some
tests of log2 that increase the ulps I see on x86_64 on an Intel
processor, so that hopefully future from-scratch regenerations on that
processor will produce ulps big enough not to have errors from testing
on AMD processors.  These tests were found by randomly generating
inputs and seeing what produced ulps larger than those currently in
libm-test-ulps.  Of course such increases also improve the accuracy of
the empirical table of known ulps generated from libm-test-ulps files
that goes in the manual.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of log2.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-03-24 23:06:28 +00:00
Joseph Myers
6411f81da9 Add test for bug 18104.
[BZ #18104]
	* math/auto-libm-test-in: Add another test of pow.
	* math/auto-libm-test-out: Regenerated.
2015-03-10 17:53:40 +00:00
Adhemerval Zanella
85b290451e powerpc: Fix inline feraiseexcept, feclearexcept macros
This patch fixes the inline feraiseexcept and feclearexcept macros for
powerpc by casting the input argument to integer before operation on it.

It fixes BZ#17776.
2015-03-03 10:01:49 -05:00
Joseph Myers
2ca725c594 Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047).
The threshold in ldbl-96 atanhl for when to return the argument,
0x1p-28, is a bit too big, and that in ldbl-128ibm atanhl is much too
big (the relevant condition being x^3/3 being < 0.5ulp of x),
resulting in errors a bit above the limits of those considered
acceptable in glibc in the ldbl-96 case, and in large errors in the
ldbl-128ibm case.  This patch changes those implementations to use
more appropriate thresholds and adds tests around the thresholds for
various formats.

Tested for x86_64, x86 and powerpc.  x86_64 and x86 ulps updated
accordingly.

	[BZ #18046]
	[BZ #18047]
	* sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use
	0x1p-56L as threshold for just returning the argument.
	* sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use
	0x1p-32L as threshold for just returning the argument.
	* math/auto-libm-test-in: Add more tests of atanh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
2015-02-27 17:48:37 +00:00
Joseph Myers
1d9ab20c14 Fix ldbl-128/ldbl-128ibm acosl inaccuracy (bug 18038, bug 18039).
The ldbl-128 and ldbl-128ibm implementations of acosl have similar
bugs, using a threshold of 0x1p-57L to determine when they just return
pi/2.  Since the result pi/2 - asinl (x) is roughly pi/2 - x for small
x, the relevant cut-off is actually x being < 0.5ulp of 1.  This patch
fixes the implementations to use that cut-off and adds tests of small
acos arguments.

Tested for powerpc and mips64.  Also tested for x86_64 and x86; no
ulps updates needed.

	[BZ #18038]
	[BZ #18039]
	* sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only
	return pi/2 for arguments below 0x1p-113L.
	* sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only
	return pi/2 for arguments below 0x1p-106L.
	* math/auto-libm-test-in: Add more tests of acos.
	* math/auto-libm-test-out: Regenerated.
2015-02-26 21:06:34 +00:00
Joseph Myers
ec0ce0d3be Fix asin missing underflows (bug 16351).
Similar to various other bugs in this area, some asin implementations
do not raise the underflow exception for subnormal arguments, when the
result is tiny and inexact.  This patch forces the exception in a
similar way to previous fixes.

Tested for x86_64, x86, powerpc and mips64.

	[BZ #16351]
	* sysdeps/i386/fpu/e_asin.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_asin): Force underflow exception for results with small
	absolute value.
	* sysdeps/i386/fpu/e_asinf.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_asinf): Force underflow exception for results with
	small absolute value.
	* sysdeps/ieee754/dbl-64/e_asin.c: Include <float.h> and <math.h>.
	(__ieee754_asin): Force underflow exception for results with small
	absolute value.
	* sysdeps/ieee754/flt-32/e_asinf.c: Include <float.h>.
	(__ieee754_asinf): Force underflow exception for results with
	small absolute value.
	* sysdeps/ieee754/ldbl-128/e_asinl.c: Include <float.h>.
	(__ieee754_asinl): Force underflow exception for results with
	small absolute value.
	* sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Include <float.h>.
	(__ieee754_asinl): Force underflow exception for results with
	small absolute value.
	* sysdeps/ieee754/ldbl-96/e_asinl.c: Include <float.h>.
	(__ieee754_asinl): Force underflow exception for results with
	small absolute value.
	* sysdeps/x86_64/fpu/multiarch/e_asin.c [HAVE_FMA4_SUPPORT]:
	Include <math.h>.
	* math/auto-libm-test-in: Do not mark underflow exceptions as
	possibly missing for bug 16351.
	* math/auto-libm-test-out: Regenerated.
2015-02-26 17:18:54 +00:00
Joseph Myers
380bd0fd24 Fix ldbl-128ibm logbl near powers of 2 (bug 18030).
The ldbl-128ibm implementation of logbl produces incorrect results
when the high part of the argument is a power of 2 and the low part a
nonzero number with the opposite sign (and so the returned exponent
should be 1 less than that of the high part).  For example, logbl
(0x1.ffffffffffffffp1L) returns 2 but should return 1.  (This is
similar to (fixed) bug 16740 for frexpl, and (fixed) bug 18029 for
ilogbl.)  This patch adds checks for that case.

Tested for powerpc.

	[BZ #18030]
	* sysdeps/ieee754/ldbl-128ibm/s_logbl.c (__logbl): Adjust exponent
	of power of 2 down when low part has opposite sign.
	* math/libm-test.inc (logb_test_data): Add more tests.
2015-02-26 15:14:58 +00:00
Joseph Myers
524ae9ea2e Fix ldbl-128ibm ilogbl near powers of 2 (bug 18029).
The ldbl-128ibm implementation of ilogbl produces incorrect results
when the high part of the argument is a power of 2 and the low part a
nonzero number with the opposite sign (and so the returned exponent
should be 1 less than that of the high part).  For example, ilogbl
(0x1.ffffffffffffffp1L) returns 2 but should return 1.  (This is
similar to (fixed) bug 16740 for frexpl, and bug 18030 for logbl.)
This patch adds checks for that case.

Tested for powerpc.

	[BZ #18029]
	* sysdeps/ieee754/ldbl-128ibm/e_ilogbl.c (__ieee754_ilogbl):
	Adjust exponent of power of 2 down when low part has opposite
	sign.
	* math/libm-test.inc (ilogb_test_data): Add more tests.
2015-02-26 12:57:21 +00:00
Joseph Myers
137cef7d43 Fix ldbl-128ibm asinhl inaccuracy (bug 18020).
The ldbl-128ibm implementation of asinhl uses cut-offs of 0x1p28 and
0x1p-29 to determine when to use simpler formulas that avoid possible
overflow / underflow.  Both those cut-offs are inappropriate for this
format, resulting in large errors.  This patch changes the code to use
more appropriate cut-offs of 0x1p56 and 0x1p-56, adding tests around
the cut-offs for various floating-point formats.

Tested for powerpc.  Also tested for x86_64 and x86 and updated ulps.

	[BZ #18020]
	* sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Use 2**56 and
	2**-56 not 2**28 and 2**-29 as thresholds for simpler formulas.
	* math/auto-libm-test-in: Add more tests of asinh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-02-25 11:13:41 +00:00
Joseph Myers
440169d681 Fix ldbl-128ibm acoshl inaccuracy (bug 18019).
The ldbl-128ibm implementation of acoshl uses a cut-off of 0x1p28 to
determine when to use log(x) + log(2) as a formula.  That cut-off is
too small for this format, resulting in large errors.  This patch
changes it to a more appropriate cut-off of 0x1p56, adding tests
around the cut-offs for various floating-point formats.

Tested for powerpc.  Also tested for x86_64 and x86 and updated ulps.

	[BZ #18019]
	* sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (__ieee754_acoshl): Use
	2**56 not 2**28 as threshold for log (2x) formula.
	* math/auto-libm-test-in: Add more tests of acosh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-02-25 00:01:15 +00:00
Joseph Myers
9438b237ab Fix x86/x86_64 scalb (qNaN, -Inf) (bug 16783).
Various x86 / x86_64 versions of scalb / scalbf / scalbl produce
spurious "invalid" exceptions for (qNaN, -Inf) arguments, because this
is wrongly handled like (+/-Inf, -Inf) which *should* raise such an
exception.  (In fact the NaN case of the code determining whether to
quietly return a zero or a NaN for second argument -Inf was
accidentally dead since the code had been made to return a NaN with
exception.)  This patch fixes the code to do the proper test for an
infinity as distinct from a NaN.

(Since the existing code does nothing to distinguish qNaNs and sNaNs
here, this patch doesn't either.  If in future we systematically
implement proper sNaN semantics following TS 18661-1:2014, there will
be lots of bugs to address - Thomas found lots of issues with his
patch <https://sourceware.org/ml/libc-ports/2013-04/msg00008.html> to
add SNaN tests (which never went in and would now require significant
reworking).)

Tested for x86_64 and x86.  Committed.

	[BZ #16783]
	* sysdeps/i386/fpu/e_scalb.S (__ieee754_scalb): Do not handle
	arguments (NaN, -Inf) the same as (+/-Inf, -Inf).
	* sysdeps/i386/fpu/e_scalbf.S (__ieee754_scalbf): Likewise.
	* sysdeps/i386/fpu/e_scalbl.S (__ieee754_scalbl): Likewise.
	* sysdeps/x86_64/fpu/e_scalbl.S (__ieee754_scalbl): Likewise.
	* math/libm-test.inc (scalb_test_data): Add more tests.
2015-02-24 17:30:02 +00:00
Chung-Lin Tang
9529611240 Adjust timeouts for some tests, to accommodate slow processors,
often without FPUs.
2015-02-22 01:05:02 -08:00
Joseph Myers
4629c866ad Fix atan / atan2 missing underflows (bug 15319).
This patch fixes bug 15319, missing underflows from atan / atan2 when
the result of atan is very close to its small argument (or that of
atan2 is very close to the ratio of its arguments, which may be an
exact division).

The usual approach of doing an underflowing computation if the
computed result is subnormal is followed.  For 32-bit x86, there are
extra complications: the inline __ieee754_atan2 in bits/mathinline.h
needs to be disabled for float and double because other libm functions
using it generally rely on getting proper underflow exceptions from
it, while the out-of-line functions have to remove excess range and
precision from the underflowing result so as to return an exact 0 in
the case where errno should be set for underflow to 0.  (The failures
I saw without that are similar to those Carlos reported for other
functions, where I haven't seen a response to
<https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html>
confirming if my diagnosis is correct.  Arguably all libm functions
with float and double returns should remove excess range and
precision, but that's a separate matter.)

The x86_64 long double case reported in a comment in bug 15319 is not
a bug (it's an argument of LDBL_MIN, and x86_64 is an after-rounding
architecture so the correct IEEE result is not to raise underflow in
the given rounding mode, in addition to treating the result as an
exact LDBL_MIN being within the newly clarified documentation of
accuracy goals).  I'm presuming that the fpatan instruction can be
trusted to raise appropriate exceptions when the (long double) result
underflows (after rounding) and so no changes are needed for x86 /
x86_64 long double functions here; empirically this is the case for
the cases covered in the testsuite, on my system.

Tested for x86_64, x86, powerpc and mips64.  Only 32-bit x86 needs
ulps updates (for the changes to inlines meaning some functions no
longer get excess precision from their __ieee754_atan2* calls).

	[BZ #15319]
	* sysdeps/i386/fpu/e_atan2.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_atan2): For results with small absolute value, force
	underflow exception and remove excess range and precision from
	return value.
	* sysdeps/i386/fpu/e_atan2f.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_atan2f): For results with small absolute value, force
	underflow exception and remove excess range and precision from
	return value.
	* sysdeps/i386/fpu/s_atan.S (dbl_min): New object.
	(MO): New macro.
	(__atan): For results with small absolute value, force underflow
	exception and remove excess range and precision from return value.
	* sysdeps/i386/fpu/s_atanf.S (flt_min): New object.
	(MO): New macro.
	(__atanf): For results with small absolute value, force underflow
	exception and remove excess range and precision from return value.
	* sysdeps/ieee754/dbl-64/e_atan2.c: Include <float.h> and
	<math.h>.
	(__ieee754_atan2): Force underflow exception for results with
	small absolute value.
	* sysdeps/ieee754/dbl-64/s_atan.c: Include <float.h> and
	<math_private.h>.
	(atan): Force underflow exception for results with small absolute
	value.
	* sysdeps/ieee754/flt-32/s_atanf.c: Include <float.h>.
	(__atanf): Force underflow exception for results with small
	absolute value.
	* sysdeps/ieee754/ldbl-128/s_atanl.c: Include <float.h> and
	<math.h>.
	(__atanl): Force underflow exception for results with small
	absolute value.
	* sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Include <float.h>.
	(__atanl): Force underflow exception for results with small
	absolute value.
	* sysdeps/x86/fpu/bits/mathinline.h
	[!__SSE2_MATH__ && !__x86_64__ && __LIBC_INTERNAL_MATH_INLINES]
	(__ieee754_atan2): Only define inline for long double.
	* sysdeps/x86_64/fpu/multiarch/e_atan2.c
	[HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Include <math.h>.
	* math/auto-libm-test-in: Do not mark underflow exceptions as
	possibly missing for bug 15319.  Add more tests of atan2.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (casin_test_data): Do not mark underflow
	exceptions as possibly missing for bug 15319.
	(casinh_test_data): Likewise.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-02-18 21:10:49 +00:00
Joseph Myers
ce8fc784e6 Fix sign of remquo zero remainder in round-downward mode (bug 17987).
Various remquo implementations produce a zero remainder with the wrong
sign (a zero remainder should always have the sign of the first
argument, as specified in IEEE 754) in round-downward mode, resulting
from the sign of 0 - 0.  This patch checks for zero results and fixes
their sign accordingly.

Tested for x86_64, x86, mips64 and powerpc.

	[BZ #17987]
	* sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Ensure sign of
	zero result does not depend on the sign resulting from
	subtraction.
	* sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo):
	Likewise.
	* sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise.
	* sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise.
	* sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise.
	* math/libm-test.inc (remquo_test_data): Add more tests.
2015-02-17 00:41:50 +00:00
Joseph Myers
a820f9b3c0 Fix remquo spurious overflows (bug 17978).
Various remquo implementations, when computing the last three bits of
the quotient, have spurious overflows when 4 times the second argument
to remquo overflows.  These overflows can in turn cause bad results in
rounding modes where that overflow results in a finite value.  This
patch adds tests to avoid the problem multiplications in cases where
they would overflow, similar to those that control an earlier
multiplication by 8.

Tested for x86_64, x86, mips64 and powerpc.

	[BZ #17978]
	* sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Do not form
	products 4 * y and 2 * y where those would overflow.
	* sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo):
	Likewise.
	* sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise.
	* sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise.
	* sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise.
	* math/libm-test.inc (remquo_test_data): Add more tests.
2015-02-16 22:38:28 +00:00
Joseph Myers
d9afe48d55 Fix dbl-64/wordsize-64 remquo (bug 17569).
The dbl-64/wordsize-64 remquo implementation follows similar logic to
various other implementations, but where that logic computes some
absolute values, it wrongly uses a previously computed bit-pattern for
the absolute value of the first argument, where actually it needs the
absolute value of the first argument mod 8 times the second.  This
patch fixes it to compute the correct absolute value.

The integer quotient result of remquo is only specified mod 8
(including its sign); architecture-specific versions may well vary in
what results they give for higher bits of that result (and indeed bug
17569 gives an example correct result from __builtin_remquo giving 9
for that result, where the particular glibc implementation used in
that bug report would give 1 after this fix).  Thus, this patch adapts
the tests of remquo to test that result only mod 8, to allow for such
variation when tests with higher quotient are included.

Tested for x86_64 and x86.

	[BZ #17569]
	* sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo):
	Compute absolute value of x as modified by fmod, not original
	value of x.
	* math/libm-test.inc (RUN_TEST_ffI_f1): Rename to
	RUN_TEST_ffI_f1_mod8.  Check extra return value mod 8.
	(RUN_TEST_LOOP_ffI_f1): Rename to RUN_TEST_LOOP_ffI_f1_mod8.  Call
	RUN_TEST_ffI_f1_mod8.
	(remquo_test_data): Add more tests.
2015-02-13 21:54:44 +00:00
Joseph Myers
03d95bd483 Fix exp2 spurious underflows (bug 16560).
This patch fixes the remaining part of bug 16560, spurious underflows
from exp2 of arguments close to 0 (when the result is close to 1, so
should not underflow), by just using 1+x instead of a more complicated
calculation when the argument is sufficiently small.

Tested for x86_64, x86 and mips64.

	[BZ #16560]
	* math/e_exp2l.c [LDBL_MANT_DIG == 106] (LDBL_EPSILON): Undefine
	and redefine.
	(__ieee754_exp2l): Do not multiply small fractional parts by
	M_LN2l.
	* sysdeps/i386/fpu/e_exp2l.S (__ieee754_exp2l): Just add 1 to
	small argument.
	* sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise.
	* sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise.
	* sysdeps/x86_64/fpu/e_exp2l.S (__ieee754_exp2l): Likewise.
	* math/auto-libm-test-in: Add more tests of exp2.
	* math/auto-libm-test-out: Regenerated.
2015-02-12 19:02:45 +00:00
Joseph Myers
d435569cd6 Fix sincos errno setting (bug 15467).
This patch makes sincos set errno to EDOM when passed an infinity,
similarly to sin and cos.

Tested for x86_64, x86, powerpc and mips64.  I don't know if the
architecture-specific implementations for ia64 and m68k might need
corresponding fixes.

2015-02-11  Joseph Myers  <joseph@codesourcery.com>

	[BZ #15467]
	* sysdeps/ieee754/dbl-64/s_sincos.c: Include <errno.h>.
	(__sincos): Set errno to EDOM for infinite argument.
	* sysdeps/ieee754/flt-32/s_sincosf.c: Include <errno.h>.
	(SINCOSF_FUNC): Set errno to EDOM for infinite argument.
	* sysdeps/ieee754/ldbl-128/s_sincosl.c: Include <errno.h>.
	(__sincosl): Set errno to EDOM for infinite argument.
	* sysdeps/ieee754/ldbl-128ibm/s_sincosl.c: Include <errno.h>.
	(__sincosl): Set errno to EDOM for infinite argument.
	* sysdeps/ieee754/ldbl-96/s_sincosl.c: Include <errno.h>.
	(__sincosl): Set errno to EDOM for infinite argument.
	* math/libm-test.inc (sincos_test_data): Test errno setting.
2015-02-11 23:17:25 +00:00
Roland McGrath
92b67e8def Clean up math/test-snan. 2015-02-10 13:55:29 -08:00
Joseph Myers
1c7a4a51a3 soft-fp: Fix _FP_FMA when product is zero and third argument is finite (bug 17932).
soft-fp's _FP_FMA fails to set the result's exponent for cases where
the result of the multiplication is 0, yielding incorrect (arbitrary,
depending on uninitialized values) results for those cases.  This
affects libm for architectures using soft-fp to implement fma.  This
patch adds the exponent setting and tests for this case.

Tested for ARM soft-float (which uses soft-fp fma), x86_64 and x86 (to
verify not introducing new libm test failures there).

(This bug showed up in testing my patch to move the Linux kernel to
current soft-fp.  math/Makefile has "override CFLAGS +=
-Wno-uninitialized" which would have stopped compiler warnings from
showing up this problem, although I wouldn't be surprised if removing
that shows spurious warnings from this code, if the compiler fails to
follow that various cases where the exponent is uninitialized don't
need it initialized because the class is set to a value meaning the
uninitialized exponent isn't used.)

	[BZ #17932]
	* soft-fp/op-common.h (_FP_FMA): Set exponent of result in case
	where multiplication results in zero and third argument is finite
	and nonzero.
	* math/auto-libm-test-in: Add more tests of fma.
	* math/auto-libm-test-out: Regenerated.
2015-02-06 15:44:07 +00:00
Martin Sebor
527de9e4e3 Clarify math/README.libm-test. Add "How to read the test output." 2015-01-28 21:07:01 -07:00
Joseph Myers
5a9e4c09a2 Fix ldbl-96 scalblnl underflowing results (bug 17803).
The ldbl-96 implementation of scalblnl (used for x86_64 and ia64) uses
a condition k <= -63 to determine when a standard underflowing result
tiny*__copysignl(tiny,x) should be returned.  However, that condition
corresponds to values with exponent -16446 or less, and in the case of
-16446, the correct result for round-to-nearest depends on whether the
value is exactly 0x1p-16446 (half the least subnormal) or more than
that.  This patch fixes the bug by changing the condition to k <= -64
and accordingly adjusting the exponent by 64 not 63 when converting to
a normal value.

Tested for x86_64.

	[BZ #17803]
	* sysdeps/ieee754/ldbl-96/s_scalblnl.c (twom63): Rename to
	twom64.  Adjust value to 0x1p-64L.
	(__scalblnl): Only return standard underflowing result for K <=
	-64 not K <= -63; adjust exponent for underflowing result by 64
	not 63.
	* math/libm-test.inc (scalbn_test_data): Add more tests.
	(scalbln_test_data): Likewise.
2015-01-12 23:02:14 +00:00
Joseph Myers
34e93d6c76 Fix ldbl-96 scalblnl for subnormal arguments (bug 17834).
The ldbl-96 implementation of scalblnl (used for x86_64 and ia64) is
incorrect for subnormal arguments (this is a separate bug from bug
17803, which is about underflowing results).  There are two problems
with the adjustments of subnormal arguments: the "two63" variable
multiplied by is actually 0x1p52L not 0x1p63L, so is insufficient to
make values normal, and then GET_LDOUBLE_EXP(es,x), used to extract
the new exponent, extracts it into a variable that isn't used, while
the value taken to by the new exponent is wrongly taken from the high
part of the mantissa before the adjustment (hx).  This patch fixes
both those problems and adds appropriate tests.

Tested for x86_64.

	[BZ #17834]
	* sysdeps/ieee754/ldbl-96/s_scalblnl.c (two63): Change value to
	0x1p63L.
	(__scalblnl): Get new exponent of adjusted subnormal value from ES
	not HX.
	* math/libm-test.inc (scalbn_test_data): Add more tests.
	(scalbln_test_data): Likewise.
2015-01-12 22:34:58 +00:00
Joseph Myers
8116321f65 Fix libm feupdateenv namespace (bug 17748).
Concluding the fixes for C90 libm functions calling C99 fe* functions,
this patch fixes the case of feupdateenv by making it a weak alias for
__feupdateenv and making the affected code call __feupdateenv.

Tested for x86_64 (testsuite, and that installed stripped shared
libraries are unchanged by the patch).  Also tested for ARM
(soft-float) that the math.h linknamespace tests now pass.

	[BZ #17748]
	* include/fenv.h (__feupdateenv): Use libm_hidden_proto.
	* math/feupdateenv.c (__feupdateenv): Use libm_hidden_def.
	* sysdeps/aarch64/fpu/feupdateenv.c (feupdateenv): Rename to
	__feupdateenv and define as weak alias of __feupdateenv.  Use
	libm_hidden_weak.
	* sysdeps/alpha/fpu/feupdateenv.c (__feupdateenv): Use
	libm_hidden_def.
	* sysdeps/arm/feupdateenv.c (feupdateenv): Rename to __feupdateenv
	and define as weak alias of __feupdateenv.  Use libm_hidden_weak.
	* sysdeps/hppa/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/i386/fpu/feupdateenv.c (__feupdateenv): Use
	libm_hidden_def.
	* sysdeps/ia64/fpu/feupdateenv.c (feupdateenv): Rename to
	__feupdateenv and define as weak alias of __feupdateenv.  Use
	libm_hidden_weak.
	* sysdeps/m68k/fpu/feupdateenv.c (__feupdateenv): Use
	libm_hidden_def.
	* sysdeps/mips/fpu/feupdateenv.c (feupdateenv): Rename to
	__feupdateenv and define as weak alias of __feupdateenv.  Use
	libm_hidden_weak.
	* sysdeps/powerpc/fpu/feupdateenv.c (__feupdateenv): Use
	libm_hidden_def.
	* sysdeps/powerpc/nofpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/powerpc/powerpc32/e500/nofpu/feupdateenv.c
	(__feupdateenv): Likewise.
	* sysdeps/s390/fpu/feupdateenv.c (feupdateenv): Rename to
	__feupdateenv and define as weak alias of __feupdateenv.  Use
	libm_hidden_weak.
	* sysdeps/sh/sh4/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/sparc/fpu/feupdateenv.c (__feupdateenv): Use
	libm_hidden_def.
	* sysdeps/tile/math_private.h (__feupdateenv): New inline
	function.
	* sysdeps/x86_64/fpu/feupdateenv.c (__feupdateenv): Use
	libm_hidden_def.
	* sysdeps/generic/math_private.h (default_libc_feupdateenv): Call
	__feupdateenv instead of feupdateenv.
	(default_libc_feupdateenv_test): Likewise.
	(libc_feresetround_ctx): Likewise.
2015-01-07 19:01:20 +00:00
Joseph Myers
01238691bb Fix libm fesetround namespace (bug 17748).
Continuing the fixes for C90 libm functions calling C99 fe* functions,
this patch fixes the case of fesetround by making it a weak alias of
__fesetround and making the affected code call __fesetround.  An
existing __fesetround function in fenv_libc.h for powerpc is renamed
to __fesetround_inline.

Tested for x86_64 (testsuite, and that disassembly of installed shared
libraries is unchanged by the patch).  Also tested for ARM
(soft-float) that fesetround failures disappear from the linknamespace
test results (feupdateenv remains to be addressed to complete fixing
bug 17748).

	[BZ #17748]
	* include/fenv.h (__fesetround): Declare.  Use libm_hidden_proto.
	* math/fesetround.c (fesetround): Rename to __fesetround and
	define as weak alias of __fesetround.  Use libm_hidden_weak.
	* sysdeps/aarch64/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/alpha/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/arm/fesetround.c (fesetround): Likewise.
	* sysdeps/hppa/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/i386/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/ia64/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/m68k/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/mips/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/powerpc/fpu/fenv_libc.h (__fesetround): Rename to
	__fesetround_inline.
	* sysdeps/powerpc/fpu/fenv_private.h (libc_fesetround_ppc): Call
	__fesetround_inline instead of __fesetround.
	* sysdeps/powerpc/fpu/fesetround.c (fesetround): Rename to
	__fesetround and define as weak alias of __fesetround.  Use
	libm_hidden_weak.  Call __fesetround_inline instead of
	__fesetround.
	* sysdeps/powerpc/nofpu/fesetround.c (fesetround): Rename to
	__fesetround and define as weak alias of __fesetround.  Use
	libm_hidden_weak.
	* sysdeps/powerpc/powerpc32/e500/nofpu/fesetround.c (fesetround):
	Likewise.
	* sysdeps/s390/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/sh/sh4/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/sparc/fpu/fesetround.c (fesetround): Likewise.
	* sysdeps/tile/math_private.h (__fesetround): New inline function.
	* sysdeps/x86_64/fpu/fesetround.c (fesetround): Rename to
	__fesetround and define as weak alias of __fesetround.  Use
	libm_hidden_weak.
	* sysdeps/generic/math_private.h (default_libc_fesetround): Call
	__fesetround instead of fesetround.
	(default_libc_feholdexcept_setround): Likewise.
	(libc_feholdsetround_ctx): Likewise.
	(libc_feholdsetround_noex_ctx): Likewise.
2015-01-07 00:41:23 +00:00
Joseph Myers
cd42798aef Fix libm fesetenv namespace (bug 17748).
Continuing the fixes for C90 libm functions calling C99 fe* functions,
this patch fixes the case of fesetenv by making it a weak alias of
__fesetenv and making the affected code (including various copies of
feupdateenv which also gets called from C90 functions) call
__fesetenv.

Tested for x86_64 (testsuite, and that disassembly of installed shared
libraries is unchanged by the patch).  Also tested for ARM
(soft-float) that fesetenv failures disappear from the linknamespace
test results (fsetround and feupdateenv remain to be addressed to
complete fixing bug 17748).

	[BZ #17748]
	* include/fenv.h (__fesetenv): Use libm_hidden_proto.
	* math/fesetenv.c (__fesetenv): Use libm_hidden_def.
	* sysdeps/aarch64/fpu/fesetenv.c (fesetenv): Rename to __fesetenv
	and define as weak alias of __fesetenv.  Use libm_hidden_weak.
	* sysdeps/alpha/fpu/fesetenv.c (__fesetenv): Use libm_hidden_def.
	* sysdeps/arm/fesetenv.c (fesetenv): Rename to __fesetenv and
	define as weak alias of __fesetenv.  Use libm_hidden_weak.
	* sysdeps/hppa/fpu/fesetenv.c (fesetenv): Likewise.
	* sysdeps/i386/fpu/fesetenv.c (__fesetenv): Use libm_hidden_def.
	* sysdeps/ia64/fpu/fesetenv.c (fesetenv): Rename to __fesetenv and
	define as weak alias of __fesetenv.  Use libm_hidden_weak.
	* sysdeps/m68k/fpu/fesetenv.c (__fesetenv): Use libm_hidden_def.
	* sysdeps/mips/fpu/fesetenv.c (fesetenv): Rename to __fesetenv and
	define as weak alias of __fesetenv.  Use libm_hidden_weak.
	* sysdeps/powerpc/fpu/fesetenv.c (__fesetenv): Use
	libm_hidden_def.
	* sysdeps/powerpc/nofpu/fesetenv.c (__fesetenv): Likewise.
	* sysdeps/powerpc/powerpc32/e500/nofpu/fesetenv.c (__fesetenv):
	Likewise.
	* sysdeps/s390/fpu/fesetenv.c (fesetenv): Rename to __fesetenv and
	define as weak alias of __fesetenv.  Use libm_hidden_weak.
	* sysdeps/sh/sh4/fpu/fesetenv.c (fesetenv): Likewise.
	* sysdeps/sparc/fpu/fesetenv.c (__fesetenv): Use libm_hidden_def.
	* sysdeps/tile/math_private.h (__fesetenv): New inline function.
	* sysdeps/x86_64/fpu/fesetenv.c (fesetenv): Rename to __fesetenv
	and define as weak alias of __fesetenv.  Use libm_hidden_weak.
	* sysdeps/generic/math_private.h (default_libc_fesetenv): Use
	__fesetenv instead of fesetenv.
	(libc_feresetround_noex_ctx): Likewise.
	* sysdeps/alpha/fpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/hppa/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/i386/fpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/ia64/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/m68k/fpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/mips/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/powerpc/nofpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/powerpc/powerpc32/e500/nofpu/feupdateenv.c
	(__feupdateenv): Likewise.
	* sysdeps/s390/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/sh/sh4/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/sparc/fpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/x86_64/fpu/feupdateenv.c (__feupdateenv): Likewise.
2015-01-06 23:36:20 +00:00
Andrew Senkevich
10a5e112b6 Remove duplicated -frounding-math
No need to add -frounding-math.  math-flags in Makeconfig includes
-frounding-math.

	* math/Makefile (CFLAGS-test-float.c): Remove -frounding-math.
	(CFLAGS-test-double.c): Likewise.
	(CFLAGS-test-ldouble.c): Likewise.
	(CPPFLAGS-test-ifloat.c): Likewise.
	(CPPFLAGS-test-idouble.c): Likewise.
	(CPPFLAGS-test-ildoubl.c): Likewise.
	(CFLAGS-test-test-fenv.c): Remove variable.
	(CFLAGS-test-misc.c): Likewise.
2015-01-06 06:32:03 -08:00
Joseph Myers
ef9faf1385 Fix libm feholdexcept namespace (bug 17748).
Continuing the fixes for C90 libm functions calling C99 fe* functions,
this patch fixes the case of feholdexcept by making it a weak alias of
__feholdexcept and making the affected code call __feholdexcept.

Tested for x86_64 (testsuite, and that disassembly of installed shared
libraries is unchanged by the patch).  Also tested for ARM
(soft-float) that feholdexcept failures disappear from the
linknamespace test failures (fesetenv, fsetround and feupdateenv
remain to be addressed to complete fixing bug 17748).

	[BZ #17748]
	* include/fenv.h (__feholdexcept): Declare.  Use
	libm_hidden_proto.
	* math/feholdexcpt.c (feholdexcept): Rename to __feholdexcept and
	define as weak alias of __feholdexcept.  Use libm_hidden_weak.
	* sysdeps/aarch64/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/alpha/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/arm/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/hppa/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/i386/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/ia64/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/m68k/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/mips/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/powerpc/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/powerpc/nofpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/powerpc/powerpc32/e500/nofpu/feholdexcpt.c
	(feholdexcept): Likewise.
	* sysdeps/s390/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/sh/sh4/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/sparc/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/x86_64/fpu/feholdexcpt.c (feholdexcept): Likewise.
	* sysdeps/generic/math_private.h (default_libc_feholdexcept): Use
	__feholdexcept instead of feholdexcept.
	(default_libc_feholdexcept_setround): Likewise.
2015-01-05 23:06:14 +00:00
Joseph Myers
b93c2205ec Fix libm fegetround namespace (bug 17748).
Continuing the fixes for C90 libm functions calling C99 fe* functions,
this patch fixes the case of fegetround by making it a weak alias of
__fegetround and making the affected code call __fegetround.

Tested for x86_64 (testsuite, and that disassembly of installed shared
libraries is unchanged by the patch).  Also tested for ARM
(soft-float) that fegetround failures disappear from the linknamespace
test failures (feholdexcept, fesetenv, fesetround and feupdateenv
remain to be addressed before bug 17748 is fully fixed, although this
patch may suffice to fix the failures in some cases, when the libc_fe*
functions are implemented but there is no architecture-specific sqrt
implementation in use so there were failures from fegetround used by
sqrt but no other such failures).

	[BZ #17748]
	* include/fenv.h (__fegetround): Declare.  Use libm_hidden_proto.
	* math/fegetround.c (fegetround): Rename to __fegetround and
	define as weak alias of __fegetround.  Use libm_hidden_weak.
	* sysdeps/aarch64/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/alpha/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/arm/fegetround.c (fegetround): Likewise.
	* sysdeps/hppa/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/i386/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/ia64/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/m68k/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/mips/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/powerpc/fpu/fegetround.c (fegetround): Likewise.
	Undefine after rather than before function definition; use
	parentheses around function name in definition.
	(__fegetround): Also undefine macro after function definition.
	* sysdeps/powerpc/nofpu/fegetround.c (fegetround): Rename to
	__fegetround and define as weak alias of __fegetround.  Use
	libm_hidden_weak.  Do not undefine as macro.
	* sysdeps/powerpc/powerpc32/e500/nofpu/fegetround.c (fegetround):
	Likewise.
	* sysdeps/s390/fpu/fegetround.c (fegetround): Rename to
	__fegetround and define as weak alias of __fegetround.  Use
	libm_hidden_weak.
	* sysdeps/sh/sh4/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/sparc/fpu/fegetround.c (fegetround): Likewise.
	* sysdeps/tile/math_private.h (__fegetround): New inline function.
	* sysdeps/x86_64/fpu/fegetround.c (fegetround): Rename to
	__fegetround and define as weak alias of __fegetround.  Use
	libm_hidden_weak.
	* sysdeps/ieee754/dbl-64/e_sqrt.c (__ieee754_sqrt): Use
	__fegetround instead of fegetround.
2015-01-02 20:44:42 +00:00
Joseph Myers
b168057aaa Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
Joseph Myers
73a268c759 Fix libm fegetenv namespace (bug 17748).
Some C90 libm functions call fegetenv via libc_feholdsetround*
functions in math_private.h.  This patch makes them call __fegetenv
instead, making fegetenv into a weak alias for __fegetenv as needed.

Tested for x86_64 (testsuite, and that disassembly of installed shared
libraries is unchanged by the patch).  Also tested for ARM
(soft-float) that fegetenv failures disappear from the linknamespace
test failures (however, similar fixes will also be needed for
fegetround, feholdexcept, fesetenv, fesetround and feupdateenv before
this set of namespace issues covered by bug 17748 is fully fixed and
those linknamespace tests start passing).

	[BZ #17748]
	* include/fenv.h (__fegetenv): Use libm_hidden_proto.
	* math/fegetenv.c (__fegetenv): Use libm_hidden_def.
	* sysdeps/aarch64/fpu/fegetenv.c (fegetenv): Rename to __fegetenv
	and define as weak alias of __fegetenv.  Use libm_hidden_weak.
	* sysdeps/alpha/fpu/fegetenv.c (__fegetenv): Use libm_hidden_def.
	* sysdeps/arm/fegetenv.c (fegetenv): Rename to __fegetenv and
	define as weak alias of __fegetenv.  Use libm_hidden_weak.
	* sysdeps/hppa/fpu/fegetenv.c (fegetenv): Likewise.
	* sysdeps/i386/fpu/fegetenv.c (__fegetenv): Use libm_hidden_def.
	* sysdeps/ia64/fpu/fegetenv.c (fegetenv): Rename to __fegetenv and
	define as weak alias of __fegetenv.  Use libm_hidden_weak.
	* sysdeps/m68k/fpu/fegetenv.c (__fegetenv): Use libm_hidden_def.
	* sysdeps/mips/fpu/fegetenv.c (fegetenv): Rename to __fegetenv and
	define as weak alias of __fegetenv.  Use libm_hidden_weak.
	* sysdeps/powerpc/fpu/fegetenv.c (__fegetenv): Use
	libm_hidden_def.
	* sysdeps/powerpc/nofpu/fegetenv.c (__fegetenv): Likewise.
	* sysdeps/powerpc/powerpc32/e500/nofpu/fegetenv.c (__fegetenv):
	Likewise.
	* sysdeps/s390/fpu/fegetenv.c (fegetenv): Rename to __fegetenv and
	define as weak alias of __fegetenv.  Use libm_hidden_weak.
	* sysdeps/sh/sh4/fpu/fegetenv.c (fegetenv): Likewise.
	* sysdeps/sparc/fpu/fegetenv.c (__fegetenv): Use libm_hidden_def.
	* sysdeps/tile/math_private.h (__fegetenv): New inline function.
	* sysdeps/x86_64/fpu/fegetenv.c (fegetenv): Rename to __fegetenv
	and define as weak alias of __fegetenv.  Use libm_hidden_weak.
	* sysdeps/generic/math_private.h (libc_feholdsetround_ctx): Use
	__fegetenv instead of fegetenv.
	(libc_feholdsetround_noex_ctx): Likewise.
2014-12-31 22:07:52 +00:00
Chris Metcalf
1ff950ad20 Fix some warnings in the absence of FP round/exception support
Due to tile missing a bunch of FP exception and rounding
support, the tests generate warnings.  These changes fix the
warnings by just not compiling some unused functions, and
adding some attribute ((unused)) tags.
2014-12-30 14:11:13 -05:00
Joseph Myers
0747f81811 Fix libm feraiseexcept namespace (bug 17723).
Various C90 and UNIX98 libm functions call feraiseexcept, which is not
in those standards.  This causes linknamespace test failures - except
on x86 / x86_64, where feraiseexcept is inline (for the relevant
constant arguments) in bits/fenv.h.

This patch fixes this by making those functions call __feraiseexcept
instead.  All changes are applied to all architectures rather than
considering the possibility that some might not be needed in some
cases (e.g. x86) as it seems most maintainable to keep architectures
consistent.

Where __feraiseexcept does not exist, it is added, with feraiseexcept
made a weak alias; where it is a strong alias, it is made weak.
libm_hidden_def / libm_hidden_proto are used with __feraiseexcept
(this might in some cases improve code generation for existing calls
to __feraiseexcept in some code on some architectures).  Where there
are dummy feraiseexcept macros (on architectures without
floating-point exceptions support, to avoid compile errors from
references to undefined FE_* macros), corresponding dummy
__feraiseexcept macros are added.  And on x86, to ensure
__feraiseexcept calls still get inlined, the inline function in
bits/fenv.h is refactored so that most of it can be reused in an
inline __feraiseexcept in a separate include/bits/fenv.h.

Calls are changed in C90/UNIX98 functions, but generally not in
functions missing from those standards.  They are also changed in
libc_fe* functions (on the basis that those might be used in any libm
function), and in feupdateenv (on the same basis - may be used, via
default libc_*, in any libm function - of course feupdateenv will need
changing to __feupdateenv in a subsequent patch to make that fully
namespace-clean).

No __feraiseexcept is added corresponding to the feraiseexcept in
powerpc bits/fenvinline.h, because that macro definition is
conditional on !defined __NO_MATH_INLINES, and glibc libm is built
with -D__NO_MATH_INLINES, so changing internal calls to use
__feraiseexcept should make no difference.

Tested for x86_64 (testsuite; the only change in disassembly of
installed shared libraries is a slight code reordering in clog10, of
no apparent significance).  Also tested for MIPS, where (in the
configuration tested) it eliminates math.h linknamespace failures for
n32 and n64 (some for o32 remain because of other issues).

	[BZ #17723]
	* include/fenv.h (__feraiseexcept): Use libm_hidden_proto.
	* math/fraiseexcpt.c (__feraiseexcept): Use libm_hidden_def.
	* sysdeps/aarch64/fpu/fraiseexcpt.c (feraiseexcept): Rename to
	__feraiseexcept and define as weak alias of __feraiseexcept.  Use
	libm_hidden_weak.
	* sysdeps/arm/fraiseexcpt.c (feraiseexcept): Likewise.
	* sysdeps/hppa/fpu/fraiseexcpt.c (feraiseexcept): Likewise.
	* sysdeps/i386/fpu/fraiseexcpt.c (__feraiseexcept): Use
	libm_hidden_def.
	* sysdeps/ia64/fpu/fraiseexcpt.c (feraiseexcept): Rename to
	__feraiseexcept and define as weak alias of __feraiseexcept.  Use
	libm_hidden_weak.
	* sysdeps/m68k/coldfire/fpu/fraiseexcpt.c (feraiseexcept):
	Likewise.
	* sysdeps/microblaze/math_private.h (__feraiseexcept): New macro.
	* sysdeps/mips/fpu/fraiseexcpt.c (feraiseexcept): Rename to
	__feraiseexcept and define as weak alias of __feraiseexcept.  Use
	libm_hidden_weak.
	* sysdeps/powerpc/fpu/fraiseexcpt.c (__feraiseexcept): Use
	libm_hidden_def.
	* sysdeps/powerpc/nofpu/fraiseexcpt.c (__feraiseexcept): Likewise.
	* sysdeps/powerpc/powerpc32/e500/nofpu/fraiseexcpt.c
	(__feraiseexcept): Likewise.
	* sysdeps/s390/fpu/fraiseexcpt.c (feraiseexcept): Rename to
	__feraiseexcept and define as weak alias of __feraiseexcept.  Use
	libm_hidden_weak.
	* sysdeps/sh/sh4/fpu/fraiseexcpt.c (feraiseexcept): Likewise.
	* sysdeps/sparc/fpu/fraiseexcpt.c (__feraiseexcept): Use
	libm_hidden_def.
	* sysdeps/tile/math_private.h (__feraiseexcept): New macro.
	* sysdeps/unix/sysv/linux/alpha/fraiseexcpt.S (__feraiseexcept):
	Use libm_hidden_def.
	* sysdeps/x86_64/fpu/fraiseexcpt.c (__feraiseexcept): Use
	libm_hidden_def.
	(feraiseexcept): Define as weak not strong alias.  Use
	libm_hidden_weak.
	* sysdeps/x86/fpu/bits/fenv.h (__feraiseexcept_invalid_divbyzero):
	New inline function.  Factored out of ...
	(feraiseexcept): ... here.  Use __feraiseexcept_invalid_divbyzero.
	* sysdeps/x86/fpu/include/bits/fenv.h: New file.
	* math/e_scalb.c (invalid_fn): Call __feraiseexcept instead of
	feraiseexcept.
	* math/w_acos.c (__acos): Likewise.
	* math/w_asin.c (__asin): Likewise.
	* math/w_ilogb.c (__ilogb): Likewise.
	* math/w_j0.c (y0): Likewise.
	* math/w_j1.c (y1): Likewise.
	* math/w_jn.c (yn): Likewise.
	* math/w_log.c (__log): Likewise.
	* math/w_log10.c (__log10): Likewise.
	* sysdeps/aarch64/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/aarch64/fpu/math_private.h
	(libc_feupdateenv_test_aarch64): Likewise.
	* sysdeps/alpha/fpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/arm/fenv_private.h (libc_feupdateenv_test_vfp): Likewise.
	* sysdeps/arm/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/ia64/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/m68k/fpu/feupdateenv.c (__feupdateenv): Likewise.
	* sysdeps/mips/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/powerpc/fpu/e_sqrt.c (__slow_ieee754_sqrt): Likewise.
	* sysdeps/s390/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/sh/sh4/fpu/feupdateenv.c (feupdateenv): Likewise.
	* sysdeps/sparc/fpu/feupdateenv.c (__feupdateenv): Likewise.
2014-12-30 17:08:09 +00:00
Chris Metcalf
b638f96a76 Fix namespace conformance issue with Bessel functions.
[BZ #17747]
The y0/y1/yn and j0/j1/jn functions provided a strong_alias
to the "l"-suffixed variants when no long double support is
being compiled.  This breaks namespace conformance when the
basename versions conform but the l-suffixed ones don't.
Fixed by making them weak aliases instead.
2014-12-22 15:24:17 -05:00
Joseph Myers
f56f91245a Split __kernel_standard* functions (fixes bug 17724).
Bug 17724 reports references to fesetround being brought in by
ldbl-128ibm rintl via references to __rintl from __kernel_standard_l.
Because all three __kernel_standard* functions are in the same file,
this gets brought in even though only the long double version
__kernel_standard_l needs __rintl, and the C90 functions use only
__kernel_standard.

This patch fixes this by splitting the three versions into separate
files; it's fine for long double functions to refer to fe* functions
directly, unless they get called by C90 double functions.

Tested for x86_64 (testsuite; the reordering of code means disassembly
of shared libraries can't usefully be compared).  Tested for powerpc
that the relevant issue disappears from the linknamespace test
output.

	[BZ #17724]
	* sysdeps/ieee754/k_standard.c: Don't include <float.h>.
	(__kernel_standard_f): Remove.  Moved to k_standardf.c.
	(__kernel_standard_l): Remove.  Moved to k_standardl.c with
	(char *) casts added.
	* sysdeps/ieee754/k_standardf.c: New file.
	* sysdeps/ieee754/k_standardl.c: Likewise.
	* math/Makefile (libm-support): Remove k_standard.
	(libm-calls): Add k_standard.
2014-12-22 18:45:50 +00:00
Chris Metcalf
4ef91cdca8 math: increase timeout for math/atest-*.c
These tests run in the 2-5 second range on tilegx, so just bump
up the timeout to 10 seconds generically.
2014-12-19 15:11:04 -05:00
Arjun Shankar
29955b5d96 Modify several tests to use test-skeleton.c
This patch modifies several test cases to use test-skeleton.c.
It was generated by a bash script written for this purpose and
thus excludes several other tests which I deemed worth a visual
inspection before making the change.

I intend to follow up with individual patches to the tests
skipped by the script.

The script itself resides at http://git.io/WODAmg and should
reproduce this very patch when run against master.

ChangeLog:

2014-10-30  Arjun Shankar  <arjun.is@lostca.se>

	* catgets/test-gencat.c: Use test-skeleton.c.
	* catgets/tst-catgets.c: Likewise.
	* csu/tst-empty.c: Likewise.
	* elf/tst-audit2.c: Likewise.
	* elf/tst-global1.c: Likewise.
	* elf/tst-pathopt.c: Likewise.
	* elf/tst-piemod1.c: Likewise.
	* elf/tst-tls10.c: Likewise.
	* elf/tst-tls11.c: Likewise.
	* elf/tst-tls12.c: Likewise.
	* gnulib/tst-gcc.c: Likewise.
	* iconvdata/tst-e2big.c: Likewise.
	* iconvdata/tst-loading.c: Likewise.
	* iconv/tst-iconv1.c: Likewise.
	* iconv/tst-iconv2.c: Likewise.
	* inet/test-inet6_opt.c: Likewise.
	* inet/tst-gethnm.c: Likewise.
	* inet/tst-network.c: Likewise.
	* inet/tst-ntoa.c: Likewise.
	* intl/tst-codeset.c: Likewise.
	* intl/tst-gettext2.c: Likewise.
	* intl/tst-gettext3.c: Likewise.
	* intl/tst-ngettext.c: Likewise.
	* intl/tst-translit.c: Likewise.
	* io/test-stat.c: Likewise.
	* libio/test-fmemopen.c: Likewise.
	* libio/tst-freopen.c: Likewise.
	* libio/tst-sscanf.c: Likewise.
	* libio/tst-ungetwc1.c: Likewise.
	* libio/tst-ungetwc2.c: Likewise.
	* libio/tst-widetext.c: Likewise.
	* localedata/tst-ctype.c: Likewise.
	* localedata/tst-digits.c: Likewise.
	* localedata/tst-leaks.c: Likewise.
	* localedata/tst-mbswcs1.c: Likewise.
	* localedata/tst-mbswcs2.c: Likewise.
	* localedata/tst-mbswcs3.c: Likewise.
	* localedata/tst-mbswcs4.c: Likewise.
	* localedata/tst-mbswcs5.c: Likewise.
	* localedata/tst-setlocale.c: Likewise.
	* localedata/tst-trans.c: Likewise.
	* localedata/tst-wctype.c: Likewise.
	* localedata/tst-xlocale1.c: Likewise.
	* login/tst-grantpt.c: Likewise.
	* malloc/tst-calloc.c: Likewise.
	* malloc/tst-malloc.c: Likewise.
	* malloc/tst-mallocstate.c: Likewise.
	* malloc/tst-mcheck.c: Likewise.
	* malloc/tst-mtrace.c: Likewise.
	* malloc/tst-obstack.c: Likewise.
	* math/atest-exp2.c: Likewise.
	* math/atest-exp.c: Likewise.
	* math/atest-sincos.c: Likewise.
	* math/test-matherr.c: Likewise.
	* math/test-misc.c: Likewise.
	* math/test-powl.c: Likewise.
	* math/tst-definitions.c: Likewise.
	* misc/tst-dirname.c: Likewise.
	* misc/tst-efgcvt.c: Likewise.
	* misc/tst-fdset.c: Likewise.
	* misc/tst-hsearch.c: Likewise.
	* misc/tst-mntent2.c: Likewise.
	* nptl/tst-sem7.c: Likewise.
	* nptl/tst-sem8.c: Likewise.
	* nptl/tst-sem9.c: Likewise.
	* nss/test-netdb.c: Likewise.
	* posix/tst-fnmatch.c: Likewise.
	* posix/tst-getlogin.c: Likewise.
	* posix/tst-gnuglob.c: Likewise.
	* posix/tst-mmap.c: Likewise.
	* pwd/tst-getpw.c: Likewise.
	* resolv/tst-inet_ntop.c: Likewise.
	* rt/tst-timer.c: Likewise.
	* stdio-common/test-fseek.c: Likewise.
	* stdio-common/test-popen.c: Likewise.
	* stdio-common/test-vfprintf.c: Likewise.
	* stdio-common/tst-cookie.c: Likewise.
	* stdio-common/tst-fileno.c: Likewise.
	* stdio-common/tst-gets.c: Likewise.
	* stdio-common/tst-obprintf.c: Likewise.
	* stdio-common/tst-perror.c: Likewise.
	* stdio-common/tst-sprintf2.c: Likewise.
	* stdio-common/tst-sprintf3.c: Likewise.
	* stdio-common/tst-sprintf.c: Likewise.
	* stdio-common/tst-swprintf.c: Likewise.
	* stdio-common/tst-tmpnam.c: Likewise.
	* stdio-common/tst-unbputc.c: Likewise.
	* stdio-common/tst-wc-printf.c: Likewise.
	* stdlib/tst-environ.c: Likewise.
	* stdlib/tst-fmtmsg.c: Likewise.
	* stdlib/tst-limits.c: Likewise.
	* stdlib/tst-rand48-2.c: Likewise.
	* stdlib/tst-rand48.c: Likewise.
	* stdlib/tst-random2.c: Likewise.
	* stdlib/tst-random.c: Likewise.
	* stdlib/tst-strtol.c: Likewise.
	* stdlib/tst-strtoll.c: Likewise.
	* stdlib/tst-tls-atexit.c: Likewise.
	* stdlib/tst-xpg-basename.c: Likewise.
	* string/test-ffs.c: Likewise.
	* string/tst-bswap.c: Likewise.
	* string/tst-inlcall.c: Likewise.
	* string/tst-strtok.c: Likewise.
	* string/tst-strxfrm.c: Likewise.
	* sysdeps/x86_64/tst-audit10.c: Likewise.
	* sysdeps/x86_64/tst-audit3.c: Likewise.
	* sysdeps/x86_64/tst-audit4.c: Likewise.
	* sysdeps/x86_64/tst-audit5.c: Likewise.
	* time/tst-ftime_l.c: Likewise.
	* time/tst-getdate.c: Likewise.
	* time/tst-mktime3.c: Likewise.
	* time/tst-mktime.c: Likewise.
	* time/tst-posixtz.c: Likewise.
	* time/tst-strptime2.c: Likewise.
	* time/tst-strptime3.c: Likewise.
	* wcsmbs/tst-btowc.c: Likewise.
	* wcsmbs/tst-mbrtowc.c: Likewise.
	* wcsmbs/tst-mbsrtowcs.c: Likewise.
	* wcsmbs/tst-wchar-h.c: Likewise.
	* wcsmbs/tst-wcpncpy.c: Likewise.
	* wcsmbs/tst-wcrtomb.c: Likewise.
	* wcsmbs/tst-wcsnlen.c: Likewise.
	* wcsmbs/tst-wcstof.c: Likewise.
2014-11-05 15:24:08 +05:30
Joseph Myers
a13d0d745c Don't use INTDEF with __ldexpf (bug 14132).
Continuing the removal of the obsolete INTDEF / INTUSE mechanism, this
patch removes the use of INTDEF for __ldexpf.  As far as I can tell,
the resulting alias is completely unused.

Tested for x86_64 that stripped installed shared libraries are
unchanged by this patch.

	[BZ #14132]
	* math/s_ldexpf.c (__ldexpf): Do not use INTDEF.
2014-10-21 23:11:49 +00:00
Will Newton
dc6fe23ba6 stdlib/tst-strtod-round.c: Fix build on ARM
Building this test on ARM fails because the prototypes for the long
double variants of the math functions are unavailable.

Add an additional include guard to math.h that enables long double math
function declarations if _LIBC_TEST is defined and define _LIBC_TEST in
stdlib/tst-strtod-round.c.

ChangeLog:

2014-09-30  Will Newton  <will.newton@linaro.org>

	* math/math.h: Define long double math functions if
	_LIBC_TEST is defined.
	* stdlib/tst-strtod-round.c: Define _LIBC_TEST.
2014-09-30 15:03:50 +01:00
Siddhesh Poyarekar
884ddc5081 Revert to defining __extern_inline only for gcc-4.3+ (BZ #17266)
The check for only __GNUC_STDC_INLINE__ and __GNUC_GNU_INLINE__ may
not be sufficient since those flags were added during initial support
for C99 inlining semantics.  There is also a problem with always
defining __extern_inline and __extern_always_inline, since it enables
inline wrapper functions even when GNU inlining semantics are not
guaranteed.  This, along with the possibility of such wrappers using
redirection (btowc for example) could result in compiler generating an
infinitely recusrive call to the function.

In fact it was such a recursion that led to this code being written
the way it was; see:

https://bugzilla.redhat.com/show_bug.cgi?id=186410

The initial change was to fix bugs 14530 and 13741, but they can be
resolved by checking if __fortify_function and/or
__extern_always_inline are defined, as it has been done in this patch.
In addition, I have audited uses of __extern_always_inline to make
sure that none of the uses result in compilation errors.

There is however a regression in this patch for llvm, since it reverts
the llvm expectation that __GNUC_STDC_INLINE__ or __GNUC_GNU_INLINE__
definition imply proper extern inline semantics.

2014-09-16  Siddhesh Poyarekar  <siddhesh@redhat.com>
	    Jakub Jelinek  <jakub@redhat.com>

	[BZ #17266]
	* libio/stdio.h: Check definition of __fortify_function
	instead of __extern_always_inline to include bits/stdio2.h.
	* math/bits/math-finite.h [__USE_XOPEN || __USE_ISOC99]: Also
	check if __extern_always_inline is defined.
	[__USE_MISC || __USE_XOPEN]: Likewise.
	[__USE_ISOC99] Likewise.
	* misc/sys/cdefs.h (__fortify_function): Define only if
	__extern_always_inline is defined.
	[!__cplusplus || __GNUC_PREREQ (4,3)]: Revert to defining
	__extern_always_inline and __extern_inline only for g++-4.3
	and newer or a compatible gcc.
2014-09-16 14:08:48 +05:30
Joseph Myers
831b9896d8 Fix fallback fesetenv and feupdateenv on FE_NOMASK_ENV (bug 17088).
This patch fixes bug 17088, fallback fesetenv and feupdateenv not
giving an error for an FE_NOMASK_ENV argument when it requires traps
to be enabled.  (This is the bug tested for by test-fenv-return.c.)

Tested mips64 soft-float.

	[BZ #17088]
	* math/fesetenv.c (__fesetenv)
	[FE_NOMASK_ENV && FE_ALL_EXCEPT != 0]: Return 1 for FE_NOMASK_ENV.
	* math/feupdateenv.c (__feupdateenv)
	[FE_NOMASK_ENV && FE_ALL_EXCEPT != 0]: Likewise.
2014-07-17 17:56:43 +00:00
Joseph Myers
be25493251 Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562).
This patch fixes bugs 16561 and 16562, bad results of yn in overflow
cases in non-default rounding modes, both because an intermediate
overflow in the recurrence does not get detected if the result is not
an infinity and because an overflowing result may occur in the wrong
sign.  The fix is to set FE_TONEAREST mode internally for the parts of
the function where such overflows can occur (which includes the call
to y1 - where yn is used to compute a Bessel function of order -1,
negating the result of y1 isn't correct for overflowing results in
directed rounding modes) and then compute an overflowing value in the
original rounding mode if the to-nearest result was an infinity.

Tested x86_64 and x86 and ulps updated accordingly.  Also tested for
mips64 and powerpc32 to test the ldbl-128 and ldbl-128ibm changes.

(The tests for these bugs were added in my previous y1 patch, so the
only thing this patch has to do with the testsuite is enable yn
testing in all rounding modes.)

	[BZ #16561]
	[BZ #16562]
	* sysdeps/ieee754/dbl-64/e_jn.c: Include <float.h>.
	(__ieee754_yn): Set FE_TONEAREST mode internally and then
	recompute overflowing results in original rounding mode.
	* sysdeps/ieee754/flt-32/e_jnf.c: Include <float.h>.
	(__ieee754_ynf): Set FE_TONEAREST mode internally and then
	recompute overflowing results in original rounding mode.
	* sysdeps/ieee754/ldbl-128/e_jnl.c: Include <float.h>.
	(__ieee754_ynl): Set FE_TONEAREST mode internally and then
	recompute overflowing results in original rounding mode.
	* sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Include <float.h>.
	(__ieee754_ynl): Set FE_TONEAREST mode internally and then
	recompute overflowing results in original rounding mode.
	* sysdeps/ieee754/ldbl-96/e_jnl.c: Include <float.h>.
	(__ieee754_ynl): Set FE_TONEAREST mode internally and then
	recompute overflowing results in original rounding mode.
	* sysdeps/i386/fpu/fenv_private.h [!__SSE2_MATH__]
	(libc_feholdsetround_ctx): New macro.
	* math/libm-test.inc (yn_test): Use ALL_RM_TEST.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps : Likewise.
2014-06-27 14:52:13 +00:00
Joseph Myers
a638de828d Fix exp10 spurious underflows (bug 16560).
This patch fixes spurious underflows from exp10 for arguments near 0
(part of bug 16560; that bug also includes spurious underflows from
exp2, which are not fixed by this patch).  The problem is underflows
in the internal computation converting the exp10 argument to arguments
for exp (with extra precision), and the fix is simply to return 1
early for arguments near enough to 0 (just as arguments with large
enough magnitude have their own overflow / underflow logic at the
start of the function).

Tested x86_64 and x86 and ulps updated accordingly; also tested for
powerpc32 and mips64 to validate the ldbl-128ibm and ldbl-128 changes.

	[BZ #16560]
	* sysdeps/ieee754/dbl-64/e_exp10.c (__ieee754_exp10): Return 1 for
	arguments close to 0.
	* sysdeps/ieee754/ldbl-128/e_exp10l.c (__ieee754_exp10l):
	Likewise.
	* sysdeps/ieee754/ldbl-128ibm/e_exp10l.c (__ieee754_exp10l):
	Likewise.
	* math/auto-libm-test-in: Add more tests of exp10.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/x86_64/fpu/libm-test-ulps: Update.
2014-06-25 11:33:22 +00:00
Joseph Myers
4060283dec Fix x86/x86_64 expm1l spurious underflow exceptions (bug 16539).
This patch fixes bug 16539, spurious underflow exceptions from x86 /
x86-64 expm1l.  The problem is that the computation of a base-2
exponent with extra precision involves spurious underflows for
arguments that are small but not subnormal, so a check is added to
just return the argument in those cases.  (If the argument *is*
subnormal, underflowing is correct and the existing code will always
underflow, so it suffices to keep using the existing code in that
case; some expm1 implementations have a bug (bug 16353) with missing
underflow exceptions, but I don't think there's such a bug in this
particular version.)

Tested x86_64 and x86; no ulps updates needed.

(auto-libm-test-out diffs omitted below.)

	[BZ #16539]
	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Just
	return the argument for normal arguments with exponent below -64.
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
	Likewise.
	* math/auto-libm-test-in: Add another test of expm1.
	* math/auto-libm-test-out: Regenerated.
2014-06-24 21:00:08 +00:00
Joseph Myers
e7dd3c8c1d Fix ldbl-128 erfl spurious underflows (bug 16287).
This patch fixes bug 16287, spurious underflows from ldbl-128 erfl
arising from it calling erfcl for arguments with absolute value at
least 1.0, although for large positive arguments erfcl correctly
underflows but erfl shouldn't.  The fix is simply to avoid calling
erfcl, and just return 1, for arguments above a cut-off large enough
that erfl correctly rounds to-nearest as 1 but not so large that erfcl
underflows.

Tested mips64.  Also tested x86_64 and x86 to confirm the new tests
(taken from the tests of erfc) don't cause any problems there; no ulps
updates needed.

	[BZ #16287]
	* sysdeps/ieee754/ldbl-128/s_erfl.c (__erfl): Return 1 without
	calling __erfcl for arguments at least 16.
	* math/auto-libm-test-in: Add more tests of erf.
	* math/auto-libm-test-out: Regenerated.
2014-06-24 20:56:56 +00:00
Joseph Myers
4648909d56 Fix cosh spurious underflows from expm1 (bug 16354), inaccurate results near 0 (bug 17061).
This patch fixes bug 16354, spurious underflows from cosh when a tiny
argument is passed to expm1 and expm1 correctly underflows although
the final result of cosh should be 1.  As noted in that bug, some
cases are latent because of expm1 implementations not raising
underflow (bug 16353), but all the implementations are fixed
similarly.  They already contained checks for tiny arguments, but the
checks were too late to avoid underflow from expm1 (although they
would avoid underflow from subsequent squaring of the result of
expm1); they are moved before the expm1 calls.

The thresholds used for considering arguments tiny are not
particularly consistent in how they relate to the precision of the
floating-point format in question.  They are, however, all sufficient
to ensure that the round-to-nearest result of cosh is indeed 1 below
the threshold (although sometimes they are smaller than necessary).
But the previous logic did not return 1, but the previously computed 1
+ expm1(abs(x)) value.  And the thresholds in the ldbl-128 and
ldbl-128ibm code (0x1p-71L - I suspect 0x3f8b was intended in the code
instead of 0x3fb8 - and (roughly) 0x1p-55L) are not sufficient for
that value to be 1.  So by moving the test for tiny arguments, and
consequently returning 1 directly now the expm1 value hasn't been
computed by that point, this patch also fixes bug 17061, the (large
number of ulps) inaccuracy for small arguments in those
implementations.  Tests for that bug are duly added.

Tested x86_64 and x86 and ulps updated accordingly.  Also tested for
mips64 and powerpc32 to validate the ldbl-128 and ldbl-128ibm changes.

	[BZ #16354]
	[BZ #17061]
	* sysdeps/ieee754/dbl-64/e_cosh.c (__ieee754_cosh): Check for
	small arguments before calling __expm1.
	* sysdeps/ieee754/flt-32/e_coshf.c (__ieee754_coshf): Check for
	small arguments before calling __expm1f.
	* sysdeps/ieee754/ldbl-128/e_coshl.c (__ieee754_coshl): Check for
	small arguments before calling __expm1l.
	* sysdeps/ieee754/ldbl-128ibm/e_coshl.c (__ieee754_coshl):
	Likewise.
	* sysdeps/ieee754/ldbl-96/e_coshl.c (__ieee754_coshl): Likewise.
	* math/auto-libm-test-in: Add more cosh tests.  Do not allow
	spurious underflow for some cosh tests.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2014-06-23 20:20:10 +00:00