Commit Graph

965 Commits

Author SHA1 Message Date
Joseph Myers
46f74e1dee Fix tgamma missing underflows (bug 18951).
Similar to various other bugs in this area, tgamma functions can fail
to raise the underflow exception when the result is tiny and inexact
but one or more low bits of the intermediate result that is scaled
down are zero.  This patch forces the exception in a similar way to
previous fixes.

Tested for x86_64, x86, mips64 and powerpc.

	[BZ #18951]
	* sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Force
	underflow exception for small results.
	* sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r):
	Likewise.
	* sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r):
	Likewise.
	* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r):
	Likewise.
	* sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r):
	Likewise.
	* math/auto-libm-test-in: Add more tests of tgamma.
	* math/auto-libm-test-out: Regenerated.
2015-09-17 15:51:54 +00:00
Joseph Myers
1f11365a75 Don't declare float / long double Bessel functions for XSI POSIX (bug 18977).
The float and long double versions of Bessel function (j0f, y1l, etc.)
are not in POSIX; only the double versions are.  This patch
accordingly limits the declarations of those functions to __USE_MISC,
and fixes the conform/ test expectations which matched the previous
incorrect declarations.

Tested for x86_64 and x86 (testsuite, and that installed stripped
shared libraries are unchanged by this patch).

	[BZ #18977]
	* math/bits/mathcalls.h
	[!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (j0): Do
	not declare.
	[!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (j1):
	Likewise.
	[!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (jn):
	Likewise.
	[!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (y0):
	Likewise.
	[!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (y1):
	Likewise.
	[!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (yn):
	Likewise.
	* conform/data/math.h-data
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j0f): Do not expect
	function.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j1f): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (jnf): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y0f): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y1f): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (ynf): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j0l): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j1l): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (jnl): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y0l): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y1l): Likewise.
	[!ISO99 && !ISO11 && !POSIX && !POSIX2008] (ynl): Likewise.
2015-09-16 22:04:40 +00:00
Joseph Myers
da2f4f2dd5 Make scalbn set errno (bug 6803).
As noted in bug 6803, scalbn fails to set errno on overflow and
underflow.  This patch fixes this by making scalbn an alias of ldexp,
which has exactly the same semantics (for floating-point types with
radix 2) and already has wrappers that deal with setting errno,
instead of an alias of the internal __scalbn (which ldexp calls).

Notes:

* Where compat symbols were defined for scalbn functions, I didn't
  change what they point to (to keep the patch minimal), so such
  compat symbols continue to go directly to the non-errno-setting
  functions.

* Mike, I didn't do anything with the IA64 versions of these
  functions, where I think both the ldexp and scalbn functions already
  deal with setting errno.  As a cleanup (not needed to fix this bug)
  however you might want to make those functions into aliases for
  IA64; there is no need for them to be separate function
  implementations at all.

* This concludes the fix for bug 6803 since the scalb and scalbln
  cases of that bug were fixed some time ago.

Tested for x86_64, x86, mips64 and powerpc.

	[BZ #6803]
	* math/s_ldexp.c (scalbn): Define as weak alias of __ldexp.
	[NO_LONG_DOUBLE] (scalbnl): Define as weak alias of __ldexp.
	* math/s_ldexpf.c (scalbnf): Define as weak alias of __ldexpf.
	* math/s_ldexpl.c (scalbnl): Define as weak alias of __ldexpl.
	* sysdeps/i386/fpu/s_scalbn.S (scalbn): Remove alias.
	* sysdeps/i386/fpu/s_scalbnf.S (scalbnf): Likewise.
	* sysdeps/i386/fpu/s_scalbnl.S (scalbnl): Likewise.
	* sysdeps/ieee754/dbl-64/s_scalbn.c (scalbn): Likewise.
	[NO_LONG_DOUBLE] (scalbnl): Likewise.
	* sysdeps/ieee754/dbl-64/wordsize-64/s_scalbn.c (scalbn):
	Likewise.
	[NO_LONG_DOUBLE] (scalbnl): Likewise.
	* sysdeps/ieee754/flt-32/s_scalbnf.c (scalbnf): Likewise.
	* sysdeps/ieee754/ldbl-128/s_scalbnl.c (scalbnl): Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c (scalbnl): Remove
	long_double_symbol calls.
	* sysdeps/ieee754/ldbl-64-128/s_scalbnl.c (scalbnl): Likewise.
	* sysdeps/ieee754/ldbl-opt/s_ldexpl.c (__ldexpl_2): Define as
	strong alias of __ldexpl.
	(scalbnl): Define using long_double_symbol.
	* sysdeps/m68k/m680x0/fpu/s_scalbn.c (__CONCATX(scalbn,suffix)):
	Remove alias.
	* sysdeps/sparc/sparc64/soft-fp/s_scalbnl.c (scalbnl): Likewise.
	* sysdeps/x86_64/fpu/s_scalbnl.S (scalbnl): Likewise.
	* math/libm-test.inc (scalbn_test_data): Add errno expectations.
	(scalbln_test_data): Add more errno expectations.
2015-09-16 21:11:00 +00:00
Joseph Myers
de20571d40 Fix math.h, tgmath.h XSI POSIX namespace (gamma, isnan, scalb) (bug 18967).
math.h incorrectly declares various functions for XSI POSIX 2001 and
2008 editions.  gamma was removed in the 2001 edition but is still
declared, along with gammaf and gammal which were never standard
functions.  isnan is still declared as a function, along with isnanf
and isnanl which were never standard functions, although in 2001 the
function was replaced by the type-generic macro.  scalbf and scalbl
are declared although never standard, and scalb was removed in the
2008 edition but is still declared.  The scalb type-generic macro in
tgmath.h shouldn't be present for any POSIX version, since POSIX never
had such a type-generic macro.

This patch disables all those declarations in the relevant cases (as a
minimal fix, it leaves them enabled for __USE_MISC).  For the matter
of declaring scalb but not scalbf or scalbl for the 2001 edition, a
new macro __MATH_DECLARING_DOUBLE is added, defined by math.h around
includes of bits/mathcalls.h, for bits/mathcalls.h to use to test
which type's functions are being declared.

Tested for x86_64 and x86 (testsuite, and that installed stripped
shared libraries are unchanged by the patch).

	[BZ #18967]
	* math/math.h (__MATH_DECLARING_DOUBLE): New macro.  Define and
	undefine around includes of <bits/mathcalls.h>.
	* math/bits/mathcalls.h [!__USE_MISC && __USE_XOPEN2K] (isnan): Do
	not declare function.
	[!__USE_MISC && __USE_XOPEN2K] (gamma): Likewise.
	[!__USE_MISC && (!__MATH_DECLARING_DOUBLE || __USE_XOPEN2K8)]
	(scalb): Likewise.
	* math/tgmath.h [!__USE_MISC && __USE_XOPEN_EXTENDED] (scalb): Do
	not define macro.
	* conform/Makefile (test-xfail-XOPEN2K/math.h/conform): Remove
	variable.
	(test-xfail-XOPEN2K/tgmath.h/conform): Likewise.
	(test-xfail-XOPEN2K8/math.h/conform): Likewise.
	(test-xfail-XOPEN2K8/tgmath.h/conform): Likewise.
2015-09-15 22:12:40 +00:00
Joseph Myers
223d1cacc5 Mark fegetround pure (bug 16296).
Bug 16296 notes that fegetround is a pure function and should be
marked as such in fenv.h.  This patch implements that.

Tested for x86_64 and x86 (testsuite, and that installed stripped
shared libraries are unchanged by this patch).

	[BZ #16296]
	* math/fenv.h (fegetround): Use __attribute_pure__.
	* include/fenv.h (__fegetround): Likewise.
2015-09-15 20:36:50 +00:00
Joseph Myers
0b87419b69 Fix ctan, ctanh missing underflows (bug 18595).
Similar to various other bugs in this area, ctan and ctanh can fail to
raise the underflow exception for some cases of results that are tiny
and inexact.  This patch forces the exception in a similar way to
previous fixes.

Tested for x86_64 and x86.

	[BZ #18595]
	* math/s_ctan.c (__ctan): Force underflow exception for results
	whose real or imaginary part has small absolute value.
	* math/s_ctanf.c (__ctanf): Likewise.
	* math/s_ctanh.c (__ctanh): Likewise.
	* math/s_ctanhf.c (__ctanhf): Likewise.
	* math/s_ctanhl.c (__ctanhl): Likewise.
	* math/s_ctanl.c (__ctanl): Likewise.
	* math/auto-libm-test-in: Do not allow missing underflow for ctan
	and ctanh.  Add more tests of ctan and ctanh.
2015-09-15 17:46:08 +00:00
Joseph Myers
828bf6828b Fix i386 exp10 missing underflows (bug 18966).
On i386, the double version of exp10 can miss underflow exceptions if
the result is in the subnormal range for double but the last 11 bits
of the 64-bit extended-precision mantissa happen to be zero.  This
patch forces the exception in a similar way to previous fixes.

As with the exp2 and exp fixes, the exp10f changes may in fact not be
needed to ensure underflow exceptions, but are included for
consistency and to fix the exp10 part of bug 18875 by ensuring that
excess range and precision is removed from underflowing return values.

Tested for x86_64 and x86.

	[BZ #18875]
	[BZ #18966]
	* sysdeps/i386/fpu/e_exp10.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_exp10): For small results, force underflow exception
	and remove excess range and precision from return value.
	* sysdeps/i386/fpu/e_exp10f.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_exp10f): For small results, force underflow exception
	and remove excess range and precision from return value.
	* math/auto-libm-test-in: Add more tests of exp10.
	* math/auto-libm-test-out: Regenerated.
2015-09-15 16:50:02 +00:00
Joseph Myers
de5e81691c Fix i386 exp missing underflows (bug 18961).
On i386, the double version of exp can miss underflow exceptions if
the result is in the subnormal range for double but the last 11 bits
of the 64-bit extended-precision mantissa happen to be zero.  This
patch forces the exception in a similar way to previous fixes.

As with the exp2 fixes, the expf changes may in fact not be needed to
ensure underflow exceptions, but are included for consistency and to
fix the exp part of bug 18875 by ensuring that excess range and
precision is removed from underflowing return values.

Tested for x86_64 and x86.

	[BZ #18875]
	[BZ #18961]
	* sysdeps/i386/fpu/e_exp.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_exp): For small results, force underflow exception and
	remove excess range and precision from return value.
	(__exp_finite): Likewise.
	* sysdeps/i386/fpu/e_expf.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_expf): For small results, force underflow exception and
	remove excess range and precision from return value.
	(__expf_finite): Likewise.
	* math/auto-libm-test-in: Add more tests of exp.
	* math/auto-libm-test-out: Regenerated.
2015-09-14 22:40:05 +00:00
Joseph Myers
903af5af9a Fix exp2 missing underflows (bug 16521).
Various exp2 implementations in glibc can miss underflow exceptions
when the scaling down part of the calculation is exact (or, in the x86
case, when the conversion from extended precision to the target
precision is exact).  This patch forces the exception in a similar way
to previous fixes.

The x86 exp2f changes may in fact not be needed for this purpose -
it's likely to be the case that no argument of type float has an exp2
result so close to an exact subnormal float value that it equals that
value when rounded to 64 bits (even taking account of variation
between different x86 implementations).  However, they are included
for consistency with the changes to exp2 and so as to fix the exp2f
part of bug 18875 by ensuring that excess range and precision is
removed from underflowing return values.

Tested for x86_64, x86 and mips64.

	[BZ #16521]
	[BZ #18875]
	* math/e_exp2l.c (__ieee754_exp2l): Force underflow exception for
	small results.
	* sysdeps/i386/fpu/e_exp2.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_exp2): For small results, force underflow exception and
	remove excess range and precision from return value.
	* sysdeps/i386/fpu/e_exp2f.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_exp2f): For small results, force underflow exception
	and remove excess range and precision from return value.
	* sysdeps/i386/fpu/e_exp2l.S (ldbl_min): New object.
	(MO): New macro.
	(__ieee754_exp2l): Force underflow exception for small results.
	* 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 (ldbl_min): New object.
	(MO): New macro.
	(__ieee754_exp2l): Force underflow exception for small results.
	* math/auto-libm-test-in: Add more tests or exp2.
	* math/auto-libm-test-out: Regenerated.
2015-09-14 22:00:12 +00:00
Joseph Myers
a1f99ba28b Add more random libm test inputs (mainly for ldbl-128).
This patch adds more libm test inputs found through random test
generation to increase previously known ulps.  This particular test
generation was run for mips64, so most of the increased ulps are for
ldbl-128 (float and double having been fairly well covered by such
testing for x86_64), but there's the odd ulps increase for other
formats.

Tested for x86_64, x86 and mips64.

	* math/auto-libm-test-in: Add more tests of acos, acosh, asin,
	asinh, atan, atan2, atanh, cabs, carg, cos, csqrt, erfc, exp,
	exp10, exp2, log, log1p, log2, pow, sin, sincos, sinh, tan and
	tanh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/mips/mips32/libm-test-ulps: Likewise.
	* sysdeps/mips/mips64/libm-test-ulps: Likewise.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-09-12 00:01:38 +00:00
Joseph Myers
9bb69b60fa Fix ldbl-128/ldbl-128ibm lgamma spurious "invalid", incorrect signgam (bug 18952).
The ldbl-128 / ldbl-128ibm implementation of lgammal converts (the
floor of minus) non-integer negative arguments to int to determine the
value of signgam.  When those values are outside the range of int,
this produces spurious "invalid" exceptions and incorrect values of
signgam.  This patch fixes this by instead determining signgam through
comparing half the integer in question to floor of half the integer.

Tested for mips64, x86_64 and x86.

	[BZ #18952]
	* sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Do
	not convert non-integer negative arguments to int to determine the
	value of signgam.
	* math/auto-libm-test-in: Add more tests of lgamma.
	* math/auto-libm-test-out: Regenerated.
2015-09-11 15:34:25 +00:00
Joseph Myers
00a7073c38 Add more randomly-generated libm tests.
This patch adds more libm test inputs found through random test
generation to increase observed ulps on x86_64.

Tested for x86_64 and x86.

	* math/auto-libm-test-in: Add more tests of acosh, atanh, cbrt,
	cosh, csqrt, erfc, expm1 and lgamma.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-09-11 15:03:10 +00:00
Joseph Myers
050f29c188 Fix lgamma (negative) inaccuracy (bug 2542, bug 2543, bug 2558).
The existing implementations of lgamma functions (except for the ia64
versions) use the reflection formula for negative arguments.  This
suffers large inaccuracy from cancellation near zeros of lgamma (near
where the gamma function is +/- 1).

This patch fixes this inaccuracy.  For arguments above -2, there are
no zeros and no large cancellation, while for sufficiently large
negative arguments the zeros are so close to integers that even for
integers +/- 1ulp the log(gamma(1-x)) term dominates and cancellation
is not significant.  Thus, it is only necessary to take special care
about cancellation for arguments around a limited number of zeros.

Accordingly, this patch uses precomputed tables of relevant zeros,
expressed as the sum of two floating-point values.  The log of the
ratio of two sines can be computed accurately using log1p in cases
where log would lose accuracy.  The log of the ratio of two gamma(1-x)
values can be computed using Stirling's approximation (the difference
between two values of that approximation to lgamma being computable
without computing the two values and then subtracting), with
appropriate adjustments (which don't reduce accuracy too much) in
cases where 1-x is too small to use Stirling's approximation directly.

In the interval from -3 to -2, using the ratios of sines and of
gamma(1-x) can still produce too much cancellation between those two
parts of the computation (and that interval is also the worst interval
for computing the ratio between gamma(1-x) values, which computation
becomes more accurate, while being less critical for the final result,
for larger 1-x).  Because this can result in errors slightly above
those accepted in glibc, this interval is instead dealt with by
polynomial approximations.  Separate polynomial approximations to
(|gamma(x)|-1)(x-n)/(x-x0) are used for each interval of length 1/8
from -3 to -2, where n (-3 or -2) is the nearest integer to the
1/8-interval and x0 is the zero of lgamma in the relevant half-integer
interval (-3 to -2.5 or -2.5 to -2).

Together, the two approaches are intended to give sufficient accuracy
for all negative arguments in the problem range.  Outside that range,
the previous implementation continues to be used.

Tested for x86_64, x86, mips64 and powerpc.  The mips64 and powerpc
testing shows up pre-existing problems for ldbl-128 and ldbl-128ibm
with large negative arguments giving spurious "invalid" exceptions
(exposed by newly added tests for cases this patch doesn't affect the
logic for); I'll address those problems separately.

	[BZ #2542]
	[BZ #2543]
	[BZ #2558]
	* sysdeps/ieee754/dbl-64/e_lgamma_r.c (__ieee754_lgamma_r): Call
	__lgamma_neg for arguments from -28.0 to -2.0.
	* sysdeps/ieee754/flt-32/e_lgammaf_r.c (__ieee754_lgammaf_r): Call
	__lgamma_negf for arguments from -15.0 to -2.0.
	* sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r):
	Call __lgamma_negl for arguments from -48.0 or -50.0 to -2.0.
	* sysdeps/ieee754/ldbl-96/e_lgammal_r.c (__ieee754_lgammal_r):
	Call __lgamma_negl for arguments from -33.0 to -2.0.
	* sysdeps/ieee754/dbl-64/lgamma_neg.c: New file.
	* sysdeps/ieee754/dbl-64/lgamma_product.c: Likewise.
	* sysdeps/ieee754/flt-32/lgamma_negf.c: Likewise.
	* sysdeps/ieee754/flt-32/lgamma_productf.c: Likewise.
	* sysdeps/ieee754/ldbl-128/lgamma_negl.c: Likewise.
	* sysdeps/ieee754/ldbl-128/lgamma_productl.c: Likewise.
	* sysdeps/ieee754/ldbl-128ibm/lgamma_negl.c: Likewise.
	* sysdeps/ieee754/ldbl-128ibm/lgamma_productl.c: Likewise.
	* sysdeps/ieee754/ldbl-96/lgamma_negl.c: Likewise.
	* sysdeps/ieee754/ldbl-96/lgamma_product.c: Likewise.
	* sysdeps/ieee754/ldbl-96/lgamma_productl.c: Likewise.
	* sysdeps/generic/math_private.h (__lgamma_negf): New prototype.
	(__lgamma_neg): Likewise.
	(__lgamma_negl): Likewise.
	(__lgamma_product): Likewise.
	(__lgamma_productl): Likewise.
	* math/Makefile (libm-calls): Add lgamma_neg and lgamma_product.
	* math/auto-libm-test-in: Add more tests of lgamma.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-09-10 22:27:58 +00:00
Joseph Myers
772e741ba5 Don't use -Wno-uninitialized in math/.
The uninitialized variable warnings in math/ having been fixed for all
the supported floating-point formats, this patch removes the use of
-Wno-uninitialized there, continuing with the goal of avoiding -Wno-
options in makefiles as far as possible..

Tested for x86_64 and x86 (full build and testsuite runs), and for
powerpc and mips64 (verified that glibc builds without errors).

	* math/Makefile (CFLAGS): Don't add -Wno-uninitialized.
2015-08-20 18:00:09 +00:00
Joseph Myers
948e12a238 Fix csqrt missing underflows (bug 18370).
The csqrt implementations in glibc can miss underflow exceptions when
the real or imaginary part of the result becomes tiny in the course of
scaling down (in particular, multiplication by 0.5) and that scaling
is exact although the relevant part of the mathematical result isn't.
This patch forces the exception in a similar way to previous fixes.

Tested for x86_64 and x86.

	[BZ #18370]
	* math/s_csqrt.c (__csqrt): Force underflow exception for results
	whose real or imaginary part has small absolute value.
	* math/s_csqrtf.c (__csqrtf): Likewise.
	* math/s_csqrtl.c (__csqrtl): Likewise.
	* math/auto-libm-test-in: Add more tests of csqrt.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-08-19 22:42:01 +00:00
Joseph Myers
3fb4cfaf1f Fix csqrt spurious underflows (bug 18823).
The csqrt functions scale up small arguments to avoid underflows when
calling hypot functions.  However, even when hypot does not underflow,
a subsequent calculation of 0.5 * hypot can underflow.  This patch
duly increases the threshold and scale factor to avoid such underflows
as well.

Tested for x86_64, x86 and mips64.

	[BZ #18823]
	* math/s_csqrt.c (__csqrt): Increase threshold and scale factor
	for scaling up small arguments.
	* math/s_csqrtf.c (__csqrtf): Likewise.
	* math/s_csqrtl.c (__csqrtl): Likewise.
	* math/auto-libm-test-in: Add more tests of csqrt.
	* math/auto-libm-test-out: Regenerated.
2015-08-17 23:02:54 +00:00
Joseph Myers
739babd775 Fix fma spurious underflows (bug 18824).
Various fma implementations have logic that, when computing fma (x, y,
z) where z is large (so care needs taking to avoid internal overflow)
but x * y is small, scale x * y up instead of down to avoid internal
underflows resulting from scaling down.  (In these cases, x * y is
small enough that only its sign actually matters rather than the exact
value.)

The threshold for scaling up instead of down was correct for "if the
unscaled values were multiplied, the low part of the multiplication
could underflow", and the scaling was sufficient to ensure that the
low part of the multiplication did not underflow (given that cases of
very small x * y - less than half the least subnormal - were
previously dealt with).  However, the choice in the functions wasn't
between scaling up or no scaling, but between scaling up and scaling
down (scaling down actually being needed when x * y isn't so small
compared to z and so the exact value does matter).  Thus a larger
threshold is needed to ensure that scaling down doesn't produce values
the multiplication of whose low parts underflows.  This patch
increases the thresholds accordingly.

Tested for x86_64, x86 and mips64 (with the MIPS version of s_fmal.c
removed so that the ldbl-128 version gets tested instead of the
soft-fp one).

	[BZ #18824]
	* sysdeps/ieee754/dbl-64/s_fma.c (__fma): Increase threshold for
	scaling x * y up instead of down.
	* sysdeps/ieee754/ldbl-128/s_fmal.c (__fmal): Likewise.
	* sysdeps/ieee754/ldbl-96/s_fmal.c (__fmal): Likewise.
	* math/auto-libm-test-in: Add more tests of fma.
	* math/auto-libm-test-out: Regenerated.
2015-08-14 17:15:06 +00:00
Joseph Myers
3ba0ac10fa Add more random libm-test inputs.
This patch adds more test inputs to various libm functions found
through random generation to have larger ulps errors than previously
listed in libm-test-ulp, on at least one of x86_64 and x86.

Tested for x86_64 and x86.

	* math/auto-libm-test-in: Add more tests of acos, acosh, asin,
	asinh, atan, atan2, atanh, cabs, cbrt, cosh, csqrt, erf, erfc,
	exp, exp2, lgamma, log, log1p, log2, pow, sin, sincos, tan, tanh
	and tgamma.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-08-13 23:23:23 +00:00
Joseph Myers
37d83a089d Fix tanh missing underflows (bug 16520).
Similar to various other bugs in this area, some tanh 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, mips64 and powerpc.

	[BZ #16520]
	* sysdeps/ieee754/dbl-64/s_tanh.c: Include <float.h>.
	(__tanh): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/flt-32/s_tanhf.c: Include <float.h>.
	(__tanhf): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/ldbl-128/s_tanhl.c: Include <float.h>.
	(__tanhl): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: Include <float.h>.
	(__tanhl): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/ldbl-96/s_tanhl.c: Include <float.h>.
	(__tanhl): Force underflow exception for arguments with small
	absolute value.
	* math/auto-libm-test-in: Add more tests of tanh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-08-13 16:40:39 +00:00
H.J. Lu
1dfa4a94ae Update libmvec multiarch functions for <cpu-features.h>
This patch updates libmvec multiarch functions to use the newly defined
HAS_CPU_FEATURE, HAS_ARCH_FEATURE and LOAD_RTLD_GLOBAL_RO_RDX from
<cpu-features.h>.

	* math/Makefile ($(addprefix $(objpfx), $(libm-vec-tests))):
	Remove $(objpfx)init-arch.o.
	* sysdeps/x86_64/fpu/Makefile (libmvec-support): Remove
	init-arch.
	* sysdeps/x86_64/fpu/math-tests-arch.h (avx_usable): Removed.
	(INIT_ARCH_EXT): Defined as empty.
	(CHECK_ARCH_EXT): Replace HAS_XXX with HAS_ARCH_FEATURE (XXX).
	* sysdeps/x86_64/fpu/multiarch/svml_d_cos2_core.S: Remove
	__init_cpu_features call.  Replace HAS_XXX with
	HAS_CPU_FEATURE/HAS_ARCH_FEATURE (XXX).
	* sysdeps/x86_64/fpu/multiarch/svml_d_cos4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_cos8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_exp2_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_exp4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_exp8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_log2_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_log4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_log8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_sin2_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_sin4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_sin8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_sincos2_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_sincos4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_d_sincos8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_cosf16_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_cosf4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_cosf8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_expf16_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_expf4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_expf8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_logf16_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_logf4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_logf8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_sincosf16_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_sincosf4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_sincosf8_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_sinf16_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_sinf4_core.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/svml_s_sinf8_core.S: Likewise.
2015-08-13 03:41:47 -07:00
Joseph Myers
4afe4b20ce Add more tests of various libm functions.
This patch adds more tests of various libm functions found through
random test generation to give increased ulps on 32-bit x86.

Tested for x86_64 and x86.

	* math/auto-libm-test-in: Add more tests of acosh, asin, asinh,
	atanh, cabs, carg, cbrt, cosh, csqrt, erf, erfc, exp, exp10,
	expm1, hypot, log, log10, log1p, log2, pow, sinh, tan and tgamma.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-08-11 00:58:28 +00:00
Joseph Myers
7ee06ef158 Fix ldbl-128ibm tanhl inaccuracy (bug 18790).
ldbl-128ibm tanhl uses a too-small threshold to decide when to return
+/-1, resulting in large errors.  This patch changes it to a more
appropriate threshold (the requirement is for 2*exp(-2|x|) to be small
in terms of ulps of 1).

Tested for x86_64, x86 and powerpc.

	[BZ #18790]
	* sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Increase
	threshold for returning +/- 1.
	* math/auto-libm-test-in: Add more tests of tanh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-08-10 20:35:30 +00:00
Joseph Myers
d0649b2d8e Fix ldbl-128ibm sinhl inaccuracy near 0 (bug 18789).
ldbl-128ibm sinhl uses a too-big threshold to decide when to return
the argument, resulting in large errors.  This patch fixes it to use a
more appropriate threshold.

Tested for x86_64, x86 and powerpc.

	[BZ #18789]
	* sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Use
	smaller threshold for returning the argument.
	* math/auto-libm-test-in: Add more tests of sinh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-08-10 15:25:10 +00:00
Joseph Myers
37550cb3d6 Fix tan missing underflows (bug 16517).
Similar to various other bugs in this area, some tan 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, mips64 and powerpc.

	[BZ #16517]
	* sysdeps/ieee754/dbl-64/s_tan.c: Include <float.h>.
	(tan): Force underflow exception for arguments with small absolute
	value.
	* sysdeps/ieee754/flt-32/k_tanf.c: Include <float.h>.
	(__kernel_tanf): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128/k_tanl.c: Include <float.h>.
	(__kernel_tanl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128ibm/k_tanl.c: Include <float.h>.
	(__kernel_tanl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-96/k_tanl.c: Include <float.h>.
	(__kernel_tanl): Force underflow exception for arguments with
	small absolute value.
	* math/auto-libm-test-in: Add more tests of tan.
	* math/auto-libm-test-out: Regenerated.
2015-08-07 23:10:35 +00:00
Samuel Thibault
86955bf62e Fix sysdeps/i386/fpu/s_scalbn.S build
* math/Versions (libc: GLIBC_2_22): New (empty) version set.
2015-08-07 09:53:56 +02:00
Joseph Myers
5e29dd5737 Fix sinh missing underflows (bug 16519).
Similar to various other bugs in this area, some sinh 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, mips64 and powerpc.

	[BZ #16519]
	* sysdeps/ieee754/dbl-64/e_sinh.c: Include <float.h>.
	(__ieee754_sinh): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/flt-32/e_sinhf.c: Include <float.h>.
	(__ieee754_sinhf): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128/e_sinhl.c: Include <float.h>.
	(__ieee754_sinhl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: Include <float.h>.
	(__ieee754_sinhl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-96/e_sinhl.c: Include <float.h>.
	(__ieee754_sinhl): Force underflow exception for arguments with
	small absolute value.
	* math/auto-libm-test-in: Add more tests of sinh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-08-06 23:01:09 +00:00
Joseph Myers
cf36e5034f Fix powf (close to -1, large) (bug 18647).
The flt-32 implementation of powf wrongly uses x-1 instead of |x|-1
when computing log (x) for the case where |x| is close to 1 and y is
large.  This patch fixes the logic accordingly.  Relevant tests
existed for x close to 1, and corresponding tests are added for x
close to -1, as well as for some new variant cases.

Tested for x86_64 and x86.

	[BZ #18647]
	* sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): For large y
	and |x| close to 1, use absolute value of x when computing log.
	* math/auto-libm-test-in: Add more tests of pow.
	* math/auto-libm-test-out: Regenerated.
2015-08-05 15:01:58 +00:00
Andrew Senkevich
a9e8ea51cc Prevent runtime fail of SSE vector math tests on non SSE4.1 machine.
[BZ #18740]
    * sysdeps/x86_64/fpu/Makefile (double-vlen2-arch-ext-cflags,
    float-vlen4-arch-ext-cflags): Removed.
    * math/Makefile (CFLAGS-test-double-vlen2-wrappers.c,
    CFLAGS-test-float-vlen4-wrappers.c): Likewise.
2015-07-30 18:00:24 +03:00
Arjun Shankar
0035851c3c Modify several tests to use test-skeleton.c
These tests were skipped by the use-test-skeleton conversion done in
commit 29955b5d because they were reused in other tests via the #include
directive, and so deemed worth an inspection before they were modified.
This has now been done.

ChangeLog:

2015-07-09  Arjun Shankar  <arjun.is@lostca.se>

	* elf/tst-leaks1.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* localedata/tst-langinfo.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* math/test-fpucw.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* math/test-tgmath.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* math/test-tgmath2.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* setjmp/tst-setjmp.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* stdio-common/tst-sscanf.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
	* sysdeps/x86_64/tst-audit6.c (main): Converted to ...
	(do_test): ... this.
	(TEST_FUNCTION): New macro.
	Include test-skeleton.c.
2015-07-15 15:10:23 +05:30
Chris Metcalf
75413d4928 math/test-fenvinline: avoid compiler warning
On tile (and any other machine with no FP exceptions) the
feenable_test() function will generate a "function defined but
not used" warning because all of the callers are commented out.
We already were ifdef'ing out the body of the function, so instead
just ifdef out the entire function if FE_ALL_EXCEPT == 0.
2015-07-10 16:11:40 -04:00
Joseph Myers
e02920bc02 Improve tgamma accuracy (bug 18613).
In non-default rounding modes, tgamma can be slightly less accurate
than permitted by glibc's accuracy goals.

Part of the problem is error accumulation, addressed in this patch by
setting round-to-nearest for internal computations.  However, there
was also a bug in the code dealing with computing pow (x + n, x + n)
where x + n is not exactly representable, providing another source of
error even in round-to-nearest mode; it was necessary to address both
bugs to get errors for all testcases within glibc's accuracy goals.
Given this second fix, accuracy in round-to-nearest mode is also
improved (hence regeneration of ulps for tgamma should be from scratch
- truncate libm-test-ulps or at least remove existing tgamma entries -
so that the expected ulps can be reduced).

Some additional complications also arose.  Certain tgamma tests should
strictly, according to IEEE semantics, overflow or not depending on
the rounding mode; this is beyond the scope of glibc's accuracy goals
for any function without exactly-determined results, but
gen-auto-libm-tests doesn't handle being lax there as it does for
underflow.  (libm-test.inc also doesn't handle being lax about whether
the result in cases very close to the overflow threshold is infinity
or a finite value close to overflow, but that doesn't cause problems
in this case though I've seen it cause problems with random test
generation for some functions.)  Thus, spurious-overflow markings,
with a comment, are added to auto-libm-test-in (no bug in Bugzilla
because the issue is with the testsuite, not a user-visible bug in
glibc).  And on x86, after the patch I saw ERANGE issues as previously
reported by Carlos (see my commentary in
<https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html>), which
needed addressing by ensuring excess range and precision were
eliminated at various points if FLT_EVAL_METHOD != 0.

I also noticed and fixed a cosmetic issue where 1.0f was used in long
double functions and should have been 1.0L.

This completes the move of all functions to testing in all rounding
modes with ALL_RM_TEST, so gen-libm-have-vector-test.sh is updated to
remove the workaround for some functions not using ALL_RM_TEST.

Tested for x86_64, x86, mips64 and powerpc.

	[BZ #18613]
	* sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Take log of
	X_ADJ not X when adjusting exponent.
	(__ieee754_gamma_r): Do intermediate computations in
	round-to-nearest then adjust overflowing and underflowing results
	as needed.
	* sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Take log
	of X_ADJ not X when adjusting exponent.
	(__ieee754_gammaf_r): Do intermediate computations in
	round-to-nearest then adjust overflowing and underflowing results
	as needed.
	* sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Take
	log of X_ADJ not X when adjusting exponent.
	(__ieee754_gammal_r): Do intermediate computations in
	round-to-nearest then adjust overflowing and underflowing results
	as needed.  Use 1.0L not 1.0f as numerator of division.
	* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Take
	log of X_ADJ not X when adjusting exponent.
	(__ieee754_gammal_r): Do intermediate computations in
	round-to-nearest then adjust overflowing and underflowing results
	as needed.  Use 1.0L not 1.0f as numerator of division.
	* sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Take log
	of X_ADJ not X when adjusting exponent.
	(__ieee754_gammal_r): Do intermediate computations in
	round-to-nearest then adjust overflowing and underflowing results
	as needed.  Use 1.0L not 1.0f as numerator of division.
	* math/libm-test.inc (tgamma_test_data): Remove one test.  Moved
	to auto-libm-test-in.
	(tgamma_test): Use ALL_RM_TEST.
	* math/auto-libm-test-in: Add one test of tgamma.  Mark some other
	tests of tgamma with spurious-overflow.
	* math/auto-libm-test-out: Regenerated.
	* math/gen-libm-have-vector-test.sh: Do not check for START.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-06-29 23:29:35 +00:00
Joseph Myers
4aa10d01b6 Fix ldbl-128 j1l spurious underflows (bug 18612).
The ldbl-128 implementation of j1l produces spurious underflow
exceptions for some small arguments, as a result of squaring the
argument.  This patch fixes it just to use a linear approximation for
sufficiently small arguments, and then to force an underflow exception
only in the cases where it is required.

Tested for mips64.

	[BZ #18612]
	* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): For small
	arguments, just return 0.5 times the argument, with underflow
	forced as needed.
	* math/auto-libm-test-in: Add more tests of j1.
	* math/auto-libm-test-out: Regenerated.
2015-06-29 17:51:32 +00:00
Joseph Myers
63dbe5f322 Fix j1, jn missing underflows (bug 16559).
Similar to various other bugs in this area, j1 and jn implementations
can fail to raise the underflow exception when the internal
computation is exact although the actual function is inexact.  This
patch forces the exception in a similar way to other such fixes.  (The
ldbl-128 / ldbl-128ibm j1l implementation is different and doesn't
need a change for this until spurious underflows in it are fixed.)

Tested for x86_64, x86, mips64 and powerpc.

	[BZ #16559]
	* sysdeps/ieee754/dbl-64/e_j1.c: Include <float.h>.
	(__ieee754_j1): Force underflow exception for small results.
	* sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise.
	* sysdeps/ieee754/flt-32/e_j1f.c: Include <float.h>.
	(__ieee754_j1f): Force underflow exception for small results.
	* sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise.
	* sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise.
	* sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise.
	* sysdeps/ieee754/ldbl-96/e_j1l.c: Include <float.h>.
	(__ieee754_j1l): Force underflow exception for small results.
	* sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise.
	* math/auto-libm-test-in: Add more tests of j1 and jn.
	* math/auto-libm-test-out: Regenerated.
2015-06-29 16:52:16 +00:00
Joseph Myers
a8e2112ae3 Use round-to-nearest internally in jn, test with ALL_RM_TEST (bug 18602).
Some existing jn tests, if run in non-default rounding modes, produce
errors above those accepted in glibc, which causes problems for moving
tests of jn to use ALL_RM_TEST.  This patch makes jn set rounding
to-nearest internally, as was done for yn some time ago, then computes
the appropriate underflowing value for results that underflowed to
zero in to-nearest, and moves the tests to ALL_RM_TEST.  It does
nothing about the general inaccuracy of Bessel function
implementations in glibc, though it should make jn more accurate on
average in non-default rounding modes through reduced error
accumulation.  The recomputation of results that underflowed to zero
should as a side-effect fix some cases of bug 16559, where jn just
used an exact zero, but that is *not* the goal of this patch and other
cases of that bug remain unfixed.

(Most of the changes in the patch are reindentation to add new scopes
for SET_RESTORE_ROUND*.)

Tested for x86_64, x86, powerpc and mips64.

	[BZ #16559]
	[BZ #18602]
	* sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Set
	round-to-nearest internally then recompute results that
	underflowed to zero in the original rounding mode.
	* sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise.
	* sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise.
	* sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise.
	* sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise
	* math/libm-test.inc (jn_test): Use ALL_RM_TEST.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-06-25 21:46:02 +00:00
Joseph Myers
f9536db790 Refactor libm tests.
This patch refactors the libm tests using libm-test.inc to reduce the
level of duplicate definitions.  New headers are created for the
definitions shared by tests for a particular type; by tests of inline
functions; by tests of non-inline functions; by scalar tests; and by
vector tests.  The unused MATHCONST macro is removed.  A new macro
VEC_LEN is added to the vector headers to allow the macros defining
wrappers for vector functions to be defined once, instead of six times
each (differing only in vector length) as before.  There is still
scope for further refactoring, but this seems a useful start.

Tested for x86_64.

	* math/test-double.h: New file.
	* math/test-float.h: Likewise.
	* math/test-ldouble.h: Likewise.
	* math/test-math-inline.h: Likewise.
	* math/test-math-no-inline.h: Likewise.
	* math/test-math-scalar.h: Likewise.
	* math/test-math-vector.h: Likewise.
	* math/test-vec-loop.h: Remove file.  Contents moved into
	test-math-vector.h.
	* math/libm-test.inc (MATHCONST): Do not document macro.
	* math/test-double.c: Include test-double.h, test-math-no-inline.h
	and test-math-scalar.h.
	(FUNC): Remove macro.
	(FUNC_TEST): Likewise.
	(FLOAT): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_DOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	* math/test-float.c: Include test-float.h, test-math-no-inline.h
	and test-math-scalar.h.
	(FUNC): Remove macro.
	(FUNC_TEST): Likewise.
	(FLOAT): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_FLOAT): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	* math/test-idouble.c: Include test-double.h, test-math-inline.h
	and test-math-scalar.h.
	(FUNC): Remove macro.
	(FUNC_TEST): Likewise.
	(FLOAT): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_DOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(TEST_INLINE): Likewise.
	(__NO_MATH_INLINES): Likewise.
	* math/test-ifloat.c: Include test-float.h, test-math-inline.h and
	test-math-scalar.h.
	(FUNC): Remove macro.
	(FUNC_TEST): Likewise.
	(FLOAT): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_FLOAT): Likewise.
	(TEST_MATHVEC): Likewise.
	(TEST_INLINE): Likewise.
	(__NO_MATH_INLINES): Likewise.
	* math/test-ildoubl.c: Include test-ldouble.h, test-math-inline.h
	and test-math-scalar.h.
	(FUNC): Remove macro.
	(FUNC_TEST): Likewise.
	(FLOAT): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_LDOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(TEST_INLINE): Likewise.
	(__NO_MATH_INLINES): Likewise.
	* math/test-ldouble.c: Include test-ldouble.h,
	test-math-no-inline.h and test-math-scalar.h.
	(FUNC): Remove macro.
	(FUNC_TEST): Likewise.
	(FLOAT): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_LDOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	* math/test-double-vlen2.h: Include test-double.h,
	test-math-no-inline.h and test-math-vector.h.
	(FLOAT): Remove macro.
	(FUNC): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_DOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	(CNCT): Likewise.
	(CONCAT): Likewise.
	(WRAPPER_NAME): Likewise.
	(WRAPPER_DECL): Likewise.
	(WRAPPER_DECL_ff): Likewise.
	(WRAPPER_DECL_fFF): Likewise.
	(VECTOR_WRAPPER): Likewise.
	(VECTOR_WRAPPER_ff): Likewise.
	(VECTOR_WRAPPER_fFF): Likewise.
	(VEC_LEN): New macro.
	* math/test-double-vlen4.h: Include test-double.h,
	test-math-no-inline.h and test-math-vector.h.
	(FLOAT): Remove macro.
	(FUNC): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_DOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	(CNCT): Likewise.
	(CONCAT): Likewise.
	(WRAPPER_NAME): Likewise.
	(WRAPPER_DECL): Likewise.
	(WRAPPER_DECL_ff): Likewise.
	(WRAPPER_DECL_fFF): Likewise.
	(VECTOR_WRAPPER): Likewise.
	(VECTOR_WRAPPER_ff): Likewise.
	(VECTOR_WRAPPER_fFF): Likewise.
	(VEC_LEN): New macro.
	* math/test-double-vlen8.h: Include test-double.h,
	test-math-no-inline.h and test-math-vector.h.
	(FLOAT): Remove macro.
	(FUNC): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_DOUBLE): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	(CNCT): Likewise.
	(CONCAT): Likewise.
	(WRAPPER_NAME): Likewise.
	(WRAPPER_DECL): Likewise.
	(WRAPPER_DECL_ff): Likewise.
	(WRAPPER_DECL_fFF): Likewise.
	(VECTOR_WRAPPER): Likewise.
	(VECTOR_WRAPPER_ff): Likewise.
	(VECTOR_WRAPPER_fFF): Likewise.
	(VEC_LEN): New macro.
	* math/test-float-vlen4.h: Include test-float.h,
	test-math-no-inline.h and test-math-vector.h.
	(FLOAT): Remove macro.
	(FUNC): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_FLOAT): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	(CNCT): Likewise.
	(CONCAT): Likewise.
	(WRAPPER_NAME): Likewise.
	(WRAPPER_DECL): Likewise.
	(WRAPPER_DECL_ff): Likewise.
	(WRAPPER_DECL_fFF): Likewise.
	(VECTOR_WRAPPER): Likewise.
	(VECTOR_WRAPPER_ff): Likewise.
	(VECTOR_WRAPPER_fFF): Likewise.
	(VEC_LEN): New macro.
	* math/test-float-vlen8.h: Include test-float.h,
	test-math-no-inline.h and test-math-vector.h.
	(FLOAT): Remove macro.
	(FUNC): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_FLOAT): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	(CNCT): Likewise.
	(CONCAT): Likewise.
	(WRAPPER_NAME): Likewise.
	(WRAPPER_DECL): Likewise.
	(WRAPPER_DECL_ff): Likewise.
	(WRAPPER_DECL_fFF): Likewise.
	(VECTOR_WRAPPER): Likewise.
	(VECTOR_WRAPPER_ff): Likewise.
	(VECTOR_WRAPPER_fFF): Likewise.
	(VEC_LEN): New macro.
	* math/test-float-vlen16.h: Include test-float.h,
	test-math-no-inline.h and test-math-vector.h.
	(FLOAT): Remove macro.
	(FUNC): Likewise.
	(MATHCONST): Likewise.
	(PRINTF_EXPR): Likewise.
	(PRINTF_XEXPR): Likewise.
	(PRINTF_NEXPR): Likewise.
	(TEST_FLOAT): Likewise.
	(TEST_MATHVEC): Likewise.
	(__NO_MATH_INLINES): Likewise.
	(CNCT): Likewise.
	(CONCAT): Likewise.
	(WRAPPER_NAME): Likewise.
	(WRAPPER_DECL): Likewise.
	(WRAPPER_DECL_ff): Likewise.
	(WRAPPER_DECL_fFF): Likewise.
	(VECTOR_WRAPPER): Likewise.
	(VECTOR_WRAPPER_ff): Likewise.
	(VECTOR_WRAPPER_fFF): Likewise.
	(VEC_LEN): New macro.
	* sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c: Do not include
	test-vec-loop.h.
	* sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c: Likewise.
2015-06-24 23:27:18 +00:00
Joseph Myers
a67894c505 Fix cexp, ccos, ccosh, csin, csinh spurious underflows (bug 18594).
cexp, ccos, ccosh, csin and csinh have spurious underflows in cases
where they compute sin of the smallest normal, that produces an
underflow exception (depending on which sin implementation is in use)
but the final result does not underflow.  ctan and ctanh may also have
such underflows, or they may be latent (the issue there is that
e.g. ctan (DBL_MIN) should, rounded upwards, be the next double value
above DBL_MIN, which under glibc's accuracy goals may not have an
underflow exception, but the intermediate computation of sin (DBL_MIN)
would legitimately underflow on before-rounding architectures).

This patch fixes all those functions so they use plain comparisons (>
DBL_MIN etc.) instead of comparing the result of fpclassify with
FP_SUBNORMAL (in all these cases, we already know the number being
compared is finite).  Note that in the case of csin / csinf / csinl,
there is no need for fabs calls in the comparison because the real
part has already been reduced to its absolute value.

As the patch fixes the failures that previously obstructed moving
tests of cexp to use ALL_RM_TEST, those tests are moved to ALL_RM_TEST
by the patch (two functions remain yet to be converted).

Tested for x86_64 and x86 and ulps updated accordingly.

	[BZ #18594]
	* math/s_ccosh.c (__ccosh): Compare with least normal value
	instead of comparing class with FP_SUBNORMAL.
	* math/s_ccoshf.c (__ccoshf): Likewise.
	* math/s_ccoshl.c (__ccoshl): Likewise.
	* math/s_cexp.c (__cexp): Likewise.
	* math/s_cexpf.c (__cexpf): Likewise.
	* math/s_cexpl.c (__cexpl): Likewise.
	* math/s_csin.c (__csin): Likewise.
	* math/s_csinf.c (__csinf): Likewise.
	* math/s_csinh.c (__csinh): Likewise.
	* math/s_csinhf.c (__csinhf): Likewise.
	* math/s_csinhl.c (__csinhl): Likewise.
	* math/s_csinl.c (__csinl): Likewise.
	* math/s_ctan.c (__ctan): Likewise.
	* math/s_ctanf.c (__ctanf): Likewise.
	* math/s_ctanh.c (__ctanh): Likewise.
	* math/s_ctanhf.c (__ctanhf): Likewise.
	* math/s_ctanhl.c (__ctanhl): Likewise.
	* math/s_ctanl.c (__ctanl): Likewise.
	* math/auto-libm-test-in: Add more tests of ccos, ccosh, cexp,
	csin, csinh, ctan and ctanh.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (cexp_test): Use ALL_RM_TEST.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-06-24 21:04:51 +00:00
Joseph Myers
6f874bd4d4 Move csin, csinh tests to auto-libm-test-in.
This patch moves most tests of csin and csinh with finite inputs from
libm-test.inc to auto-libm-test-in.  The remaining two tests of each
function with small arguments are not moved because moving them causes
the time required by gen-auto-libm-tests to go up from under 8 seconds
to over 11 minutes for me.  (The current development version of MPC
has had speed improvements for mpc_sin for some time, but there hasn't
been a release containing those improvements yet.)

Tested for x86_64 and x86.

	* math/auto-libm-test-in: Add more tests of csin and csinh.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (csin_test_data): Remove tests moved to
	auto-libm-test-in.
	(csinh_test_data): Likewise.
2015-06-24 16:37:44 +00:00
Joseph Myers
ac831b362a Fix csin, csinh overflow in directed rounding modes (bug 18593).
csin and csinh can produce bad results when overflowing in directed
rounding modes, because a multiplication that can overflow is followed
by a possible negation.  This patch fixes this by negating one of the
arguments of the multiplication before the multiplication instead of
negating the result.

The new tests for this issue are added to auto-libm-test-in, starting
use of that file for csin and csinh.  The issue was found in the
course of moving existing tests for csin and csinh (existing tests, by
being enabled in more cases than previously, showed the issue for
float and double but not for long double); that move will now be done
separately.

Tested for x86_64 and x86 and ulps updated accordingly.

	[BZ #18593]
	* math/s_csin.c (__csin): Negate before rather than after possibly
	overflowing multiplication.
	* math/s_csinf.c (__csinf): Likewise.
	* math/s_csinh.c (__csinh): Likewise.
	* math/s_csinhf.c (__csinhf): Likewise.
	* math/s_csinhl.c (__csinhl): Likewise.
	* math/s_csinl.c (__csinl): Likewise.
	* math/auto-libm-test-in: Add some tests of csin and csinh.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (csin_test_data): Use AUTO_TESTS_c_c.
	(csinh_test_data): Likewise.
	* sysdeps/x86_64/fpu/libm-test-ulps: Update.
2015-06-24 16:20:48 +00:00
Joseph Myers
ad39cce0da Fix sin, sincos missing underflows (bug 16526, bug 16538).
Similar to various other bugs in this area, some sin and sincos
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, mips64 and powerpc.

	[BZ #16526]
	[BZ #16538]
	* sysdeps/ieee754/dbl-64/s_sin.c: Include <float.h>.
	(__sin): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/flt-32/k_sinf.c: Include <float.h>.
	(__kernel_sinf): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128/k_sincosl.c: Include <float.h>.
	(__kernel_sincosl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128/k_sinl.c: Include <float.h>.
	(__kernel_sinl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: Include <float.h>.
	(__kernel_sincosl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-128ibm/k_sinl.c: Include <float.h>.
	(__kernel_sinl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/ieee754/ldbl-96/k_sinl.c: Include <float.h>.
	(__kernel_sinl): Force underflow exception for arguments with
	small absolute value.
	* sysdeps/powerpc/fpu/k_sinf.c: Include <float.h>.
	(__kernel_sinf): Force underflow exception for arguments with
	small absolute value.
	* math/auto-libm-test-in: Add more tests of sin and sincos.
	* math/auto-libm-test-out: Regenerated.
2015-06-23 22:24:20 +00:00
Joseph Myers
8b1bab5ffa Fix spurious "inexact" exceptions from __kernel_standard_l (bug 18245, bug 18583).
__kernel_standard_l converts long double arguments to double for use
in SVID "struct exception".  This has special-case handling for when
that conversion would overflow or underflow but the original long
double function wouldn't.  However, it turns out that "inexact"
exceptions can be spurious here as well, when the function is exactly
determined and __kernel_standard_l is being called for a domain error.
This patch fixes this by using feholdexcept / fesetenv to avoid
exceptions from the conversion, replacing the previous special-case
logic for overflow and underflow (this covers all functions using
__kernel_standard_l, not just those that actually need a change, since
there doesn't seem to be much point in restricting things just to the
functions that mustn't get "inexact" here).

Tested for x86_64 and x86.

	[BZ #18245]
	[BZ #18583]
	* sysdeps/ieee754/k_standardl.c: Include <fenv.h>.
	(__kernel_standard_l): Use feholdexcept and fesetenv around
	conversion to double instead of special-casing overflow and
	underflow.
	* math/libm-test.inc (fmod_test_data): Add more tests.
	(remainder_test_data): Likewise.
	(sqrt_test_data): Likewise.
2015-06-23 17:26:46 +00:00
Joseph Myers
b2faf4eadf Fix math/Makefile dependency on libm-test.stmp for libmvec tests.
Since the libmvec tests went in I've noticed build failures from
parallel testing in math/, when those tests start building before
libm-test.c has been fully generated.  (This only applies if libm test
sources have been modified after the original glibc build, because
otherwise libm-test.stmp was generated during the original build and
doesn't get regenerated during testing.)

Those tests depend on libm-test.stmp, but the dependency uses
$(libmvec-tests), which is set in the sysdeps Makefile fragments, and
appears before the inclusion of ../Rules, which is what includes those
fragments; thus, the dependency does not work and parallel make can
start building the vector tests too soon.  This patch moves the
dependency further down so that the required variable is defined when
the dependency is.

Tested for x86_64.

	* math/Makefile [$(PERL) != no]
	($(addprefix $(objpfx), $(addsuffix .o, $(libm-vec-tests)))): Move
	dependency on libm-test.stmp below the inclusion of Rules.
2015-06-23 16:27:25 +00:00
Joseph Myers
718d34a309 Fix csqrt spurious underflows (bug 18371).
The csqrt implementations in glibc can cause spurious underflows in
some cases as a side-effect of the scaling for large arguments (when
underflow is correct for the square root of the argument that was
scaled down to avoid overflow, but not for the original argument).
This patch arranges to avoid the underflowing intermediate computation
(eliminating a multiplication in 0.5 in the problem cases where a
subsequent scaling by 2 would follow).

Tested for x86_64 and x86 and ulps updated accordingly (only needed
for x86).

	[BZ #18371]
	* math/s_csqrt.c (__csqrt): Avoid multiplication by 0.5 where
	intermediate but not final result might underflow.
	* math/s_csqrtf.c (__csqrtf): Likewise.
	* math/s_csqrtl.c (__csqrtl): Likewise.
	* math/auto-libm-test-in: Add more tests of csqrt.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-06-23 16:01:54 +00:00
Joseph Myers
b59549574e Fix exp2, exp2f spurious underflows (bug 18219).
The dbl-64 and flt-32 implementations of exp2 functions produce
spurious underflow exceptions.  The underlying reason is the same in
both cases: the computation works as (2^a - 1)*2^b + 2^b for suitably
chosen a and b, where a has small magnitude so 2^a - 1 can be computed
with a low-degree polynomial approximation, and (2^a - 1)*2^b can
underflow even when the final result does not.  This patch fixes this
by adjusting the threshold for when scaling is used to avoid
intermediate underflow so it works for any possible value of a where
the final result would not underflow.

Tested for x86_64 and x86.

	[BZ #18219]
	* sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Reduce
	threshold on absolute value of exponent for which scaling is used.
	* sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise.
	* math/auto-libm-test-in: Add more tests of exp2.
	* math/auto-libm-test-out: Regenerated.
2015-06-23 14:35:18 +00:00
Joseph Myers
554edb23ff Fix expm1 missing underflows (bug 16353).
Similar to various other bugs in this area, some expm1 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.

(The issue does not apply to the ldbl-* implementations or to those
for x86 / x86_64 long double.  The change to
sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c is one I missed when
previously fixing bug 16354; the bug in that implementation was
previously latent, but the expm1 fixes stopped it being latent and so
required it to be fixed to avoid spurious underflows from cosh.)

Tested for x86_64 and x86.

	[BZ #16353]
	* sysdeps/i386/fpu/s_expm1.S (dbl_min): New object.
	(__expm1): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/i386/fpu/s_expm1f.S (flt_min): New object.
	(__expm1f): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/dbl-64/s_expm1.c: Include <float.h>.
	(__expm1): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/flt-32/s_expm1f.c: Include <float.h>.
	(__expm1f): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c (__ieee754_cosh):
	Check for small arguments before calling __expm1.
	* math/auto-libm-test-in: Do not mark underflow exceptions as
	possibly missing for bug 16353.
	* math/auto-libm-test-out: Regenerated.
2015-06-22 21:06:19 +00:00
Joseph Myers
cb0937b299 Fix x86_64 / x86 expm1l (-min_subnorm) result sign (bug 18569).
In the x86 / x86_64 implementations of expm1l, when expm1l's result
should underflow to 0 (argument minus the least subnormal, in some
rounding modes), it can be a zero of the wrong sign.  This patch fixes
this by returning the argument with underflow forced in that case
(this is a 1ulp error relative to the correctly rounded result of -0,
which is OK in terms of the documented accuracy goals, whereas a
result with the wrong sign never is).

Tested for x86_64 and x86.

	[BZ #18569]
	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Force
	underflow and return argument in case of subnormal argument.
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
	Likewise.
	* math/auto-libm-test-in: Add more tests of expm1.
	* math/auto-libm-test-out: Regenerated.
2015-06-21 18:43:10 +00:00
Joseph Myers
7540cfc5a8 Fix x86 / x86_64 expl, exp10l missing underflows (bug 16361).
Similar to various other bugs in this area, the x86 and x86_64
implementations of expl / exp10l can fail to produce underflow
exceptions when the unscaled result has trailing 0 bits so the scaling
down to subnormal precision is exact.  This patch fixes this by
forcing the exception in the case of tiny results.

Tested for x86_64 and x86.

	[BZ #16361]
	* sysdeps/i386/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object.
	[!USE_AS_EXPM1L] (IEEE754_EXPL): Force underflow exception for
	tiny results.
	* sysdeps/x86_64/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object.
	[!USE_AS_EXPM1L] (IEEE754_EXPL): Force underflow exception for
	tiny results.
	* math/auto-libm-test-in: Add more tests of exp and exp10.  Do not
	mark underflow exceptions as possibly missing for bug 16361.
	* math/auto-libm-test-out: Regenerated.
2015-06-21 17:48:04 +00:00
Joseph Myers
8db3cdefef Fix asinh missing underflows (bug 16350).
Similar to various other bugs in this area, some asinh 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 and mips64.

	[BZ #16350]
	* sysdeps/i386/fpu/s_asinh.S (__asinh): Force underflow exception
	for arguments with small absolute value.
	* sysdeps/i386/fpu/s_asinhf.S (__asinhf): Likewise.
	* sysdeps/i386/fpu/s_asinhl.S (__asinhl): Likewise.
	* sysdeps/ieee754/dbl-64/s_asinh.c: Include <float.h>.
	(__asinh): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/flt-32/s_asinhf.c: Include <float.h>.
	(__asinhf): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/ldbl-128/s_asinhl.c: Include <float.h>.
	(__asinhl): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: Include <float.h>.
	(__asinhl): Force underflow exception for arguments with small
	absolute value.
	* sysdeps/ieee754/ldbl-96/s_asinhl.c: Include <float.h>.
	(__asinhl): Force underflow exception for arguments with small
	absolute value.
	* math/auto-libm-test-in: Do not mark underflow exceptions as
	possibly missing for bug 16350.
	* math/auto-libm-test-out: Regenerated.
2015-06-18 23:27:41 +00:00
Joseph Myers
a1ee4fd106 Remove stray spurious-underflow markings from cexp test.
I noticed that I'd left a spurious-underflow allowance behind in
auto-libm-test-in for a bug that was fixed some time ago.  This patch
removes it.

Tested for x86_64 and x86.

	* math/auto-libm-test-in: Remove spurious underflow allowance for
	tests of cexp.
	* math/auto-libm-test-out: Regenerated.
2015-06-18 20:51:17 +00:00
Andrew Senkevich
a6336cc446 Vector sincosf for x86_64 and tests.
Here is implementation of vectorized sincosf containing SSE, AVX,
AVX2 and AVX512 versions according to Vector ABI
<https://groups.google.com/forum/#!topic/x86-64-abi/LmppCfN1rZ4>.

    * NEWS: Mention addition of x86_64 vector sincosf.
    * math/test-float-vlen16.h: Added wrapper for sincosf tests.
    * math/test-float-vlen4.h: Likewise.
    * math/test-float-vlen8.h: Likewise.
    * sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New symbols added.
    * sysdeps/x86/fpu/bits/math-vector.h: Added sincosf SIMD declaration.
    * sysdeps/x86_64/fpu/Makefile (libmvec-support): Added new files.
    * sysdeps/x86_64/fpu/Versions: New versions added.
    * sysdeps/x86_64/fpu/libm-test-ulps: Regenerated.
    * sysdeps/x86_64/fpu/multiarch/Makefile (libmvec-sysdep_routines):
    Added build of SSE, AVX2 and AVX512 IFUNC versions.
    * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf16_core.S
    * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf16_core_avx512.S
    * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf4_core.S
    * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf4_core_sse4.S
    * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf8_core.S
    * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf8_core_avx2.S
    * sysdeps/x86_64/fpu/svml_s_sincosf16_core.S
    * sysdeps/x86_64/fpu/svml_s_sincosf4_core.S
    * sysdeps/x86_64/fpu/svml_s_sincosf8_core.S
    * sysdeps/x86_64/fpu/svml_s_sincosf8_core_avx.S
    * sysdeps/x86_64/fpu/svml_s_sincosf_data.S: New file.
    * sysdeps/x86_64/fpu/svml_s_sincosf_data.h: New file.
    * sysdeps/x86_64/fpu/svml_s_wrapper_impl.h: Added 3 argument wrappers.
    * sysdeps/x86_64/fpu/test-float-vlen16.c: : Vector sincosf tests.
    * sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-float-vlen4.c: Likewise.
    * sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-float-vlen8-avx2.c: Likewise.
    * sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-float-vlen8.c: Likewise.
2015-06-18 20:11:27 +03:00
Andrew Senkevich
c9a8c526ac Vector sincos for x86_64 and tests.
Here is implementation of vectorized sincos containing SSE, AVX,
AVX2 and AVX512 versions according to Vector ABI
<https://groups.google.com/forum/#!topic/x86-64-abi/LmppCfN1rZ4>.

    * NEWS: Mention addition of x86_64 vector sincos.
    * bits/libm-simd-decl-stubs.h: Added stubs for sincos.
    * math/math.h (__MATHDECL_VEC): New macro.
    * math/bits/mathcalls.h: Added sincos declaration with __MATHDECL_VEC.
    * math/gen-libm-have-vector-test.sh: Added generation of sincos wrapper
    declaration under condition.
    * math/test-vec-loop.h (TEST_VEC_LOOP): Refactored.
    * math/test-double-vlen2.h: Added wrapper for sincos tests, reflected
    TEST_VEC_LOOP change.
    * math/test-double-vlen4.h: Likewise.
    * math/test-double-vlen8.h: Likewise.
    * math/test-float-vlen16.h: Reflected TEST_VEC_LOOP change.
    * math/test-float-vlen4.h: Likewise.
    * math/test-float-vlen8.h: Likewise.
    * sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New symbols added.
    * sysdeps/x86/fpu/bits/math-vector.h: Added sincos SIMD declaration.
    * sysdeps/x86_64/fpu/Makefile (libmvec-support): Added new files.
    * sysdeps/x86_64/fpu/Versions: New versions added.
    * sysdeps/x86_64/fpu/libm-test-ulps: Regenerated.
    * sysdeps/x86_64/fpu/multiarch/Makefile (libmvec-sysdep_routines):
    Added build of SSE, AVX2 and AVX512 IFUNC versions.
    * sysdeps/x86_64/fpu/multiarch/svml_d_sincos2_core.S: New file.
    * sysdeps/x86_64/fpu/multiarch/svml_d_sincos2_core_sse4.S: New file.
    * sysdeps/x86_64/fpu/multiarch/svml_d_sincos4_core.S: New file.
    * sysdeps/x86_64/fpu/multiarch/svml_d_sincos4_core_avx2.S: New file.
    * sysdeps/x86_64/fpu/multiarch/svml_d_sincos8_core.S: New file.
    * sysdeps/x86_64/fpu/multiarch/svml_d_sincos8_core_avx512.S: New file.
    * sysdeps/x86_64/fpu/svml_d_sincos2_core.S: New file.
    * sysdeps/x86_64/fpu/svml_d_sincos4_core.S: New file.
    * sysdeps/x86_64/fpu/svml_d_sincos4_core_avx.S: New file.
    * sysdeps/x86_64/fpu/svml_d_sincos8_core.S: New file.
    * sysdeps/x86_64/fpu/svml_d_sincos_data.S: New file.
    * sysdeps/x86_64/fpu/svml_d_sincos_data.h: New file.
    * sysdeps/x86_64/fpu/svml_d_wrapper_impl.h: Added wrappers for sincos.
    * sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c: Vector sincos tests.
    * sysdeps/x86_64/fpu/test-double-vlen2.c: Likewise.
    * sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-double-vlen4-avx2.c: Likewise.
    * sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-double-vlen4.c: Likewise.
    * sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c: Likewise.
    * sysdeps/x86_64/fpu/test-double-vlen8.c: Likewise.
2015-06-18 17:55:55 +03:00