I noticed that an x86_64 build of libm unexpectedly contained more
non-constant data than an older version (before _Float128 support)
did. The problem is non-const arrays in the ldbl-128 j0l and j1l
implementations; this patch makes those arrays, and the corresponding
ldbl-128ibm ones, const.
Tested for x86_64, and tested compilation for powerpc with
build-many-glibcs.py.
* sysdeps/ieee754/ldbl-128/e_j0l.c (Y0_2N): Make const.
(Y0_2D): Likewise.
* sysdeps/ieee754/ldbl-128/e_j1l.c (Y0_2N): Likewise.
(Y0_2D): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_j0l.c (Y0_2N): Likewise.
(Y0_2D): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_j1l.c (Y0_2N): Likewise.
(Y0_2D): Likewise.
The Bessel functions of the second type (Yn) should raise the "divide
by zero" exception when input is zero (both positive and negative).
Current code gives the right output, but fails to set the exception.
This error is exposed for float, double, and long double when linking
with -lieee. Without this flag, the error is not exposed, because the
wrappers for these functions, which use __kernel_standard
functionality, set the exception as expected.
Tested for powerpc64le.
[BZ #21134]
* sysdeps/ieee754/dbl-64/e_j0.c (__ieee754_y0): Raise the
"divide by zero" exception when the input is zero.
* sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_y1): Likewise.
* sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Likewise.
* sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Likewise.
* sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_y0l): Likewise.
* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise.
The Bessel functions of the second type (Yn) are not defined for
negative input and should return NAN with the "invalid" exception
raised, in these cases. However, current code checks for infinity and
return zero, regardless of the sign. This error is exposed for long
double when linking with -lieee. Without this flag, the error is not
exposed, because the wrappers for these functions, which use
__kernel_standard functionality, return the correct value.
Tested for powerpc64le.
[BZ #21130]
* sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_y0l): Return NAN
with the "invalid" exception raised when x is -Inf.
* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise.
This runs the attached sed script against these files using
a regex which aggressively matches long double literals
when not obviously part of a comment.
Likewise, 5 digit or less integral constants are replaced
with integer constants, excepting the two cases of 0 used
in large tables, which are also the only integral values
of the form x.0*E0L encountered within these converted
files.
Likewise, -L(x) is transformed into L(-x).
Naturally, the script has a few minor hiccups which are
more clearly remedied via the attached fixup patch. Such
hiccups include, context-sensitive promotion to a real
type, and munging constants inside harder to detect
comment blocks.
Add a layer of macro indirection for long double files
which need to be built using another typename. Likewise,
add the L(num) macro used in a later patch to override
real constants.
These macros are only defined through the ldbl-128
math_ldbl.h header, thereby implicitly restricting
these macros to machines which back long double
with an IEEE binary128 format.
Likewise, appropriate changes are made for the few
files which indirectly include such ldbl-128 files.
These changes produce identical binaries for s390x,
aarch64, and ppc64.
The ldbl-128 implementations of j0l, j1l, y0l, y1l (also used for
ldbl-128ibm) return an sNaN argument unchanged. This patch fixes them
to add a NaN argument to itself to quiet it before return.
Tested for mips64.
[BZ #20151]
* sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_j0l): Add NaN
argument to itself before returning result.
(__ieee754_y0l): Likewise.
* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Likewise.
(__ieee754_y1l).
My recent addition of more tests for j0 showed up that the ldbl-128
implementation of j0l produces spurious underflow exceptions for
arguments close to 0 (when the result is very close to 1). This patch
fixes this by just returning the argument in that case.
Tested for mips64 (where it fixes the recently-added tests that were
previously failing).
[BZ #19156]
* sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_j0l): Return 1 for
arguments very close to 0.
With help from Joseph Myers.
* sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Adjust tinyness
cutoff to 2**-13.
* sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Adjust tinyness
cutoff to 2**-25.
* sysdeps/ieee754/ldbl-128/e_j0l.c (U0): New constant.
( __ieee754_y0l): Avoid arithmetic underflow when 'x' is very
small.
* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise.
* math/libm-test.inc (y0_test): New tests.
(y1_test): New tests.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Update.
* sysdeps/sparc/fpu/libm-test-ulps: Update.
(__ieee754_y0l): Likewise.
* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Likewise.
(__ieee754_y1l): Likewise.
* sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Use __ldexpl.
* sysdeps/ieee754/ldbl-128/s_log1pl.c: Kill bogus prototypes for
frexpl and ldexpl. math_private.h provides them and the latter
is not even used.
(__log1pl): Use __frexpl.
__fe_nomask_env.
* sysdeps/powerpc/fpu/fe_nomask.c: Add libm_hidden_def.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/fe_nomask.c: Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/fpu/fe_nomask.c: Likewise.
* sysdeps/powerpc/bits/fenv.h: Make safe for C++.
* sysdeps/unix/sysv/linux/powerpc/bits/mathinline.h: New file.
* sysdeps/powerpc/fpu/fegetexcept.c (__fegetexcept): Rename
function from fegetexcept and make old name weak alias.
* include/fenv.h: Declare __fegetexcept.
* sysdeps/powerpc/fpu/fedisblxcpt.c: Use __fegetexcept instead of
fegetexcept.
* sysdeps/powerpc/fpu/feenablxcpt.c: Likewise.
* sysdeps/powerpc/fpu/fraiseexcpt.c (__feraiseexcept): Avoid call
to fetestexcept.
* sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (__log1pl): Use __frexpl
instead of frexpl to avoid local PLT.
* math/s_significandl.c (__significandl): Use __ilogbl instead of
ilogbl to avoid local PLT.
* sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (__expm1l): Use __ldexpl
instead of ldexpl to avoid local PLT.
* sysdeps/ieee754/ldbl-128ibm/e_expl.c (__ieee754_expl): Use
__roundl not roundl to avoid local PLT.
* sysdeps/ieee754/ldbl-128/e_j0l.c: Use function names which avoid
local PLTs. Use __sincosl instead of separate sinl and cosl
calls.
* sysdeps/ieee754/ldbl-128/e_j1l.c: Likewise.
* math/libm-test.inc (j0_test): Add extra tests.
* sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_j0l): Use |x|,
not x, in Hankel approximation.
Patches by Stephen L Moshier.
