| Commit message (Collapse) | Author | Age | Files | Lines |
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This patch changes the exp10f error handling semantics to only set
errno according to POSIX rules. New symbol version is introduced at
GLIBC_2.32. The old wrappers are kept for compat symbols.
There are some outliers that need special handling:
- ia64 provides an optimized implementation of exp10f that uses ia64
specific routines to set SVID compatibility. The new symbol version
is aliased to the exp10f one.
- m68k also provides an optimized implementation, and the new version
uses it instead of the sysdeps/ieee754/flt32 one.
- riscv and csky uses the generic template implementation that
does not provide SVID support. For both cases a new exp10f
version is not added, but rather the symbols version of the
generic sysdeps/ieee754/flt32 is adjusted instead.
Checked on aarch64-linux-gnu, x86_64-linux-gnu, i686-linux-gnu,
powerpc64le-linux-gnu.
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With mathinline removal there is no need to keep building and testing
inline math tests.
The gen-libm-tests.py support to generate ULP_I_* is removed and all
libm-test-ulps files are updated to longer have the
i{float,double,ldouble} entries. The support for no-test-inline is
also removed from both gen-auto-libm-tests and the
auto-libm-test-out-* were regenerated.
Checked on x86_64-linux-gnu and i686-linux-gnu.
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This is similar to x86 (da75c1b180f9355a) and powerpc (32ea72999693b98e)
mathinline.h removal. The required macros to build the fpu routines
are moved to mathimpl.h, while the inline optimization macros for
atan, tanh, rint, log1p, significand, trunc, floor, ceil, isinf,
finite, scalbn, isnan, scalbln, nearbyint, lrint, and sincos are removed.
The gcc bug https://gcc.gnu.org/bugzilla/show_bug.cgi?id=94204 was
created to track builtin support.
Checked with a build against m68k-linux-gnu, resulting binaries
are similar with and without the patch.
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This is a preparatory patch to enable building a _Float128
variant to ease reuse when building a _Float128 variant to
alias this long double only symbol.
Notably, stubs are added where missing to the native _Float128
sysdep dir to prevent building these newly templated variants
created inside the build directories.
Also noteworthy are the changes around LIBM_SVID_COMPAT. These
changes are not intuitive. The templated version is only
enabled when !LIBM_SVID_COMPAT, and the compat version is
predicated entirely on LIBM_SVID_COMPAT. Thus, exactly one is
stubbed out entirely when building. The nldbl scalb compat
files are updated to account for this.
Likewise, fixup the reuse of m68k's e_scalb{f,l}.c to include
it's override of e_scalb.c. Otherwise, the search path finds
the templated copy in the build directory. This could be
futher simplified by providing an overridden template, but I
lack the hardware to verify.
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This patch adds a new macro, libm_alias_finite, to define all _finite
symbol. It sets all _finite symbol as compat symbol based on its first
version (obtained from the definition at built generated first-versions.h).
The <fn>f128_finite symbols were introduced in GLIBC 2.26 and so need
special treatment in code that is shared between long double and float128.
It is done by adding a list, similar to internal symbol redifinition,
on sysdeps/ieee754/float128/float128_private.h.
Alpha also needs some tricky changes to ensure we still emit 2 compat
symbols for sqrt(f).
Passes buildmanyglibc.
Co-authored-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>
Reviewed-by: Siddhesh Poyarekar <siddhesh@sourceware.org>
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Also, change sources.redhat.com to sourceware.org.
This patch was automatically generated by running the following shell
script, which uses GNU sed, and which avoids modifying files imported
from upstream:
sed -ri '
s,(http|ftp)(://(.*\.)?(gnu|fsf|sourceware)\.org($|[^.]|\.[^a-z])),https\2,g
s,(http|ftp)(://(.*\.)?)sources\.redhat\.com($|[^.]|\.[^a-z]),https\2sourceware.org\4,g
' \
$(find $(git ls-files) -prune -type f \
! -name '*.po' \
! -name 'ChangeLog*' \
! -path COPYING ! -path COPYING.LIB \
! -path manual/fdl-1.3.texi ! -path manual/lgpl-2.1.texi \
! -path manual/texinfo.tex ! -path scripts/config.guess \
! -path scripts/config.sub ! -path scripts/install-sh \
! -path scripts/mkinstalldirs ! -path scripts/move-if-change \
! -path INSTALL ! -path locale/programs/charmap-kw.h \
! -path po/libc.pot ! -path sysdeps/gnu/errlist.c \
! '(' -name configure \
-execdir test -f configure.ac -o -f configure.in ';' ')' \
! '(' -name preconfigure \
-execdir test -f preconfigure.ac ';' ')' \
-print)
and then by running 'make dist-prepare' to regenerate files built
from the altered files, and then executing the following to cleanup:
chmod a+x sysdeps/unix/sysv/linux/riscv/configure
# Omit irrelevant whitespace and comment-only changes,
# perhaps from a slightly-different Autoconf version.
git checkout -f \
sysdeps/csky/configure \
sysdeps/hppa/configure \
sysdeps/riscv/configure \
sysdeps/unix/sysv/linux/csky/configure
# Omit changes that caused a pre-commit check to fail like this:
# remote: *** error: sysdeps/powerpc/powerpc64/ppc-mcount.S: trailing lines
git checkout -f \
sysdeps/powerpc/powerpc64/ppc-mcount.S \
sysdeps/unix/sysv/linux/s390/s390-64/syscall.S
# Omit change that caused a pre-commit check to fail like this:
# remote: *** error: sysdeps/sparc/sparc64/multiarch/memcpy-ultra3.S: last line does not end in newline
git checkout -f sysdeps/sparc/sparc64/multiarch/memcpy-ultra3.S
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This patch fixes -Wimplicit-fallthrough warnings in system-specific
code that show up building glibc with -Wextra, by adding fall-through
comments, or moving existing such comments to the place required for
them to work (immediately before the case label being fallen through).
Tested with build-many-glibcs.py.
* sysdeps/i386/dl-machine.h (elf_machine_rela): Add fall-through
comments.
* sysdeps/m68k/m680x0/fpu/s_cexp_template.c (s(__cexp)): Likewise.
* sysdeps/m68k/memcopy.h (WORD_COPY_FWD): Likewise.
(WORD_COPY_BWD): Likewise.
* sysdeps/mach/hurd/ioctl.c (__ioctl): Likewise.
* sysdeps/powerpc/powerpc64/dl-machine.h (elf_machine_rela):
Likewise.
* sysdeps/s390/iso-8859-1_cp037_z900.c (TR_LOOP): Likewise.
* sysdeps/mips/dl-machine.h (elf_machine_reloc): Move fall-through
comment.
* sysdeps/mips/dl-trampoline.c (__dl_runtime_resolve): Likewise.
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* All files with FSF copyright notices: Update copyright dates
using scripts/update-copyrights.
* locale/programs/charmap-kw.h: Regenerated.
* locale/programs/locfile-kw.h: Likewise.
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Introduce new pow symbol version that doesn't do SVID compatible error
handling. The standard errno and fp exception based error handling is
inline in the new code and does not have significant overhead.
The wrapper is disabled for sysdeps/ieee754/dbl-64 by using empty
w_pow.c and enabled for targets with their own pow implementation or
ifunc dispatch on __ieee754_pow by including math/w_pow.c.
The compatibility symbol version still uses the wrapper with SVID error
handling around the new code. There is no new symbol version nor
compatibility code on !LIBM_SVID_COMPAT targets (e.g. riscv).
On targets where previously powl was an alias of pow, now it points to
the compatibility symbol with the wrapper, because it still need the
SVID compatible error handling. This affects NO_LONG_DOUBLE (e.g. arm)
and LONG_DOUBLE_COMPAT (e.g. alpha) targets as well.
The __pow_finite symbol is now an alias of pow. Both __pow_finite and
pow set errno and thus not const functions.
The ia64 asm is changed so the compat and new symbol versions map to the
same address.
On x86_64 #include <math.h> was added before macro definitions that
may affect that header.
Tested with build-many-glibcs.py.
* math/Versions (GLIBC_2.29): Add pow.
* math/w_pow_compat.c (__pow_compat): Change to versioned compat
symbol.
* math/w_pow.c: New file.
* sysdeps/i386/fpu/w_pow.c: New file.
* sysdeps/ia64/fpu/e_pow.S: Add versioned symbols.
* sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Rename to __pow
and add necessary aliases.
* sysdeps/ieee754/dbl-64/w_pow.c: New file.
* sysdeps/m68k/m680x0/fpu/w_pow.c: New file.
* sysdeps/mach/hurd/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Update.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Update.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Update.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Update.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Update.
* sysdeps/x86_64/fpu/multiarch/e_pow-fma.c (__ieee754_pow): Rename to
__pow.
* sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c (__ieee754_pow): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_pow.c (__ieee754_pow): Likewise.
* sysdeps/x86_64/fpu/multiarch/w_pow.c: New file.
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Introduce new log2 symbol version that doesn't do SVID compatible error
handling. The standard errno and fp exception based error handling is
inline in the new code and does not have significant overhead.
The wrapper is disabled for sysdeps/ieee754/dbl-64 by using empty
w_log2.c and enabled for targets with their own log2 implementation by
including math/w_log2.c.
The compatibility symbol version still uses the wrapper with SVID error
handling around the new code. There is no new symbol version nor
compatibility code on !LIBM_SVID_COMPAT targets (e.g. riscv).
On targets where previously log2l was an alias of log2, now it points to
the compatibility symbol with the wrapper, because it still need the
SVID compatible error handling. This affects NO_LONG_DOUBLE (e.g. arm)
and LONG_DOUBLE_COMPAT (e.g. alpha) targets as well.
The __log2_finite symbol is now an alias of log2. Both __log2_finite
and log2 set errno and thus not const functions.
The ia64 asm is changed so the compat and new symbol versions map to the
same address.
Tested with build-many-glibcs.py.
* math/Versions (GLIBC_2.29): Add log2.
* math/w_log2_compat.c (__log2_compat): Change to versioned compat
symbol.
* math/w_log2.c: New file.
* sysdeps/i386/fpu/w_log2.c: New file.
* sysdeps/ia64/fpu/e_log2.S: Add versioned symbols.
* sysdeps/ieee754/dbl-64/e_log2.c (__ieee754_log2): Rename to __log2
and add necessary aliases.
* sysdeps/ieee754/dbl-64/w_log2.c: New file.
* sysdeps/m68k/m680x0/fpu/w_log2.c: New file.
* sysdeps/mach/hurd/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Update.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Update.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Update.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Update.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Update.
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Introduce new log symbol version that doesn't do SVID compatible error
handling. The standard errno and fp exception based error handling is
inline in the new code and does not have significant overhead.
The wrapper is disabled for sysdeps/ieee754/dbl-64 by using empty
w_log.c and enabled for targets with their own log implementation by
including math/w_log.c.
The compatibility symbol version still uses the wrapper with SVID error
handling around the new code. There is no new symbol version nor
compatibility code on !LIBM_SVID_COMPAT targets (e.g. riscv).
On targets where previously logl was an alias of log, now it points to
the compatibility symbol with the wrapper, because it still need the
SVID compatible error handling. This affects NO_LONG_DOUBLE (e.g. arm)
and LONG_DOUBLE_COMPAT (e.g. alpha) targets as well.
The __log_finite symbol is now an alias of log. Both __log_finite and
log set errno and thus not const functions.
The ia64 asm is changed so the compat and new symbol versions map to the
same address.
On x86_64 #include <math.h> was added before macro definitions that may
affect that header.
Tested with build-many-glibcs.py.
* math/Versions (GLIBC_2.29): Add log.
* math/w_log_compat.c (__log_compat): Change to versioned compat
symbol.
* math/w_log.c: New file.
* sysdeps/i386/fpu/w_log.c: New file.
* sysdeps/ia64/fpu/e_log.S: Update.
* sysdeps/ieee754/dbl-64/e_log.c (__ieee754_log): Rename to __log
and add necessary aliases.
* sysdeps/ieee754/dbl-64/w_log.c: New file.
* sysdeps/m68k/m680x0/fpu/w_log.c: New file.
* sysdeps/mach/hurd/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Update.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Update.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Update.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Update.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Update.
* sysdeps/x86_64/fpu/multiarch/e_log-avx.c (__ieee754_log): Rename to
__log.
* sysdeps/x86_64/fpu/multiarch/e_log-fma.c (__ieee754_log): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_log-fma4.c (__ieee754_log): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_log.c (__ieee754_log): Likewise.
* sysdeps/x86_64/fpu/multiarch/w_log.c: New file.
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Introduce new exp and exp2 symbol version that don't do SVID compatible
error handling. The standard errno and fp exception based error handling
is inline in the new code and does not have significant overhead.
The double precision wrappers are disabled for sysdeps/ieee754/dbl-64
by using empty w_exp.c and w_exp2.c files, the math/w_exp.c and
math/w_exp2.c files use the wrapper template and can be included by
targets that have their own exp and exp2 implementations or use ifunc
on the glibc internal __ieee754_exp symbol.
The compatibility symbol versions still use the wrapper with SVID error
handling around the new code. There is no new symbol version nor
compatibility code on !LIBM_SVID_COMPAT targets (e.g. riscv).
On targets where previously expl and exp2l were aliases of exp and exp2,
now they point to the compatibility symbols with the wrapper, because
they still need the SVID compatible error handling. This affects
NO_LONG_DOUBLE (e.g arm) and LONG_DOUBLE_COMPAT (e.g. alpha) targets
as well.
The _finite symbols are now aliases of the standard symbols (they have
no performance advantage anymore). Both the standard symbols and
_finite symbols set errno and thus not const functions.
The ia64 asm is changed so the compat and new symbol versions map to the
same address.
On x86_64 #include <math.h> was added before macro definitions that may
affect that header (the new macro name is __exp instead of __ieee754_exp
which breaks some math.h macros).
Tested with build-many-glibcs.py.
* math/Versions (GLIBC_2.29): Add exp and exp2.
* math/w_exp2_compat.c (__exp2_compat): Change to versioned compat
symbol, handle NO_LONG_DOUBLE and LONG_DOUBLE_COMPAT explicitly.
* math/w_exp_compat.c (__exp_compat): Likewise.
* math/w_exp.c: New file.
* math/w_exp2.c: New file.
* sysdeps/i386/fpu/w_exp.c: New file.
* sysdeps/i386/fpu/w_exp2.c: New file.
* sysdeps/ia64/fpu/e_exp.S: Add versioned symbols.
* sysdeps/ia64/fpu/e_exp2.S: Likewise.
* sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Rename to __exp
and add necessary aliases.
* sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Rename to __exp2
and add necessary aliases.
* sysdeps/ieee754/dbl-64/w_exp.c: New file.
* sysdeps/ieee754/dbl-64/w_exp2.c: New file.
* sysdeps/m68k/m680x0/fpu/w_exp.c: New file.
* sysdeps/m68k/m680x0/fpu/w_exp2.c: New file.
* sysdeps/mach/hurd/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Update.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Update.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Update.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Update.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Update.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Update.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Update.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Update.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Update.
* sysdeps/x86_64/fpu/multiarch/e_exp-avx.c (__exp1): Remove.
(__ieee754_exp): Rename to __exp.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma.c (__exp1): Remove.
(__ieee754_exp): Rename to __exp.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c (__exp1): Remove.
(__ieee754_exp): Rename to __exp.
* sysdeps/x86_64/fpu/multiarch/e_exp.c (__ieee754_exp): Rename to
__exp.
* sysdeps/x86_64/fpu/multiarch/w_exp.c: New file.
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Continuing the move to use, within libm, public names for libm
functions that can be inlined as built-in functions on many
architectures, this patch moves calls to __trunc functions to call the
corresponding trunc names instead, with asm redirection to __trunc
when the calls are not inlined.
Tested for x86_64, and with build-many-glibcs.py.
* include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ &&
__FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (trunc): Redirect
using MATH_REDIRECT.
* sysdeps/aarch64/fpu/s_trunc.c: Define NO_MATH_REDIRECT before
header inclusion.
* sysdeps/aarch64/fpu/s_truncf.c: Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/s_trunc.c: Likewise.
* sysdeps/ieee754/float128/s_truncf128.c: Likewise.
* sysdeps/ieee754/dbl-64/s_trunc.c: Likewise.
* sysdeps/ieee754/flt-32/s_truncf.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_truncl.c: Likewise.
* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_trunc.c: Likewise.
* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_truncf.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/multiarch/s_trunc.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/multiarch/s_truncf.c: Likewise.
* sysdeps/riscv/rv64/rvd/s_trunc.c: Likewise.
* sysdeps/riscv/rvf/s_truncf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_trunc.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_truncf.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_trunc.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_truncf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_trunc_template.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_truncl.c: Likewise.
(ceil): Redirect to __ceil.
(floor): Redirect to __floor.
(trunc): Redirect to __trunc.
(__truncl): Call trunc instead of __trunc.
* sysdeps/powerpc/fpu/math_private.h [_ARCH_PWR5X] (__trunc):
Remove macro.
[_ARCH_PWR5X] (__truncf): Likewise.
* sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Use
trunc functions instead of __trunc variants.
* 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.
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The algorithm is exp(y * log(x)), where log(x) is computed with about
1.3*2^-68 relative error (1.5*2^-68 without fma), returning the result
in two doubles, and the exp part uses the same algorithm (and lookup
tables) as exp, but takes the input as two doubles and a sign (to handle
negative bases with odd integer exponent). The __exp1 internal symbol
is no longer necessary.
There is separate code path when fma is not available but the worst case
error is about 0.54 ULP in both cases. The lookup table and consts for
log are 4168 bytes. The .rodata+.text is decreased by 37908 bytes on
aarch64. The non-nearest rounding error is less than 1 ULP.
Improvements on Cortex-A72 compared to current glibc master:
pow thruput: 2.40x in [0.01 11.1]x[0.01 11.1]
pow latency: 1.84x in [0.01 11.1]x[0.01 11.1]
Tested on
aarch64-linux-gnu (defined __FP_FAST_FMA, TOINT_INTRINSICS) and
arm-linux-gnueabihf (!defined __FP_FAST_FMA, !TOINT_INTRINSICS) and
x86_64-linux-gnu (!defined __FP_FAST_FMA, !TOINT_INTRINSICS) and
powerpc64le-linux-gnu (defined __FP_FAST_FMA, !TOINT_INTRINSICS) targets.
* NEWS: Mention pow improvements.
* math/Makefile (type-double-routines): Add e_pow_log_data.
* sysdeps/generic/math_private.h (__exp1): Remove.
* sysdeps/i386/fpu/e_pow_log_data.c: New file.
* sysdeps/ia64/fpu/e_pow_log_data.c: New file.
* sysdeps/ieee754/dbl-64/Makefile (CFLAGS-e_pow.c): Allow fma
contraction.
* sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove.
(exp_inline): Remove.
(__ieee754_exp): Only single double input is handled.
* sysdeps/ieee754/dbl-64/e_pow.c: Rewrite.
* sysdeps/ieee754/dbl-64/e_pow_log_data.c: New file.
* sysdeps/ieee754/dbl-64/math_config.h (issignaling_inline): Define.
(__pow_log_data): Define.
* sysdeps/ieee754/dbl-64/upow.h: Remove.
* sysdeps/ieee754/dbl-64/upow.tbl: Remove.
* sysdeps/m68k/m680x0/fpu/e_pow_log_data.c: New file.
* sysdeps/x86_64/fpu/multiarch/Makefile (CFLAGS-e_pow-fma.c): Allow fma
contraction.
(CFLAGS-e_pow-fma4.c): Likewise.
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Continuing the move to use, within libm, public names for libm
functions that can be inlined as built-in functions on many
architectures, this patch moves calls to __ceil functions to call the
corresponding ceil names instead, with asm redirection to __ceil when
the calls are not inlined.
Tested for x86_64, and with build-many-glibcs.py.
* include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ &&
__FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (ceil): Redirect
using MATH_REDIRECT.
* sysdeps/aarch64/fpu/s_ceil.c: Define NO_MATH_REDIRECT before
header inclusion.
* sysdeps/aarch64/fpu/s_ceilf.c: Likewise.
* sysdeps/ieee754/dbl-64/s_ceil.c: Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/s_ceil.c: Likewise.
* sysdeps/ieee754/float128/s_ceilf128.c: Likewise.
* sysdeps/ieee754/flt-32/s_ceilf.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_ceill.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_ceill.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_ceil_template.c: Likewise.
* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_ceil.c: Likewise.
* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_ceilf.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/multiarch/s_ceil.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/multiarch/s_ceilf.c: Likewise.
* sysdeps/riscv/rv64/rvd/s_ceil.c: Likewise.
* sysdeps/riscv/rvf/s_ceilf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_ceil.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_ceilf.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_ceil.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_ceilf.c: Likewise.
* sysdeps/powerpc/fpu/math_private.h [_ARCH_PWR5X] (__ceil):
Remove macro.
* sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Use ceil
functions instead of __ceil variants.
* sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise.
* sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_truncl.c (__truncl): Likewise.
* sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive):
Likewise.
* sysdeps/powerpc/power5+/fpu/s_modf.c (__modf): Likewise.
* sysdeps/powerpc/power5+/fpu/s_modff.c (__modff): Likewise.
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Continuing the move to use, within libm, public names for libm
functions that can be inlined as built-in functions on many
architectures, this patch moves calls to __rint functions to call the
corresponding rint names instead, with asm redirection to __rint when
the calls are not inlined. The x86_64 math_private.h is removed as no
longer useful after this patch.
This patch is relative to a tree with my floor patch
<https://sourceware.org/ml/libc-alpha/2018-09/msg00148.html> applied,
and much the same considerations arise regarding possibly replacing an
IFUNC call with a direct inline expansion.
Tested for x86_64, and with build-many-glibcs.py.
* include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ &&
__FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (rint): Redirect
using MATH_REDIRECT.
* sysdeps/aarch64/fpu/s_rint.c: Define NO_MATH_REDIRECT before
header inclusion.
* sysdeps/aarch64/fpu/s_rintf.c: Likewise.
* sysdeps/alpha/fpu/s_rint.c: Likewise.
* sysdeps/alpha/fpu/s_rintf.c: Likewise.
* sysdeps/i386/fpu/s_rintl.c: Likewise.
* sysdeps/ieee754/dbl-64/s_rint.c: Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/s_rint.c: Likewise.
* sysdeps/ieee754/float128/s_rintf128.c: Likewise.
* sysdeps/ieee754/flt-32/s_rintf.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_rintl.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_rintl.c: Likewise.
* sysdeps/m68k/coldfire/fpu/s_rint.c: Likewise.
* sysdeps/m68k/coldfire/fpu/s_rintf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_rint.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_rintf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_rintl.c: Likewise.
* sysdeps/powerpc/fpu/s_rint.c: Likewise.
* sysdeps/powerpc/fpu/s_rintf.c: Likewise.
* sysdeps/riscv/rv64/rvd/s_rint.c: Likewise.
* sysdeps/riscv/rvf/s_rintf.c: Likewise.
* sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_rint.c: Likewise.
* sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_rintf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_rint.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_rintf.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_rint.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_rintf.c: Likewise.
* sysdeps/x86_64/fpu/math_private.h: Remove file.
* math/e_scalb.c (invalid_fn): Use rint functions instead of
__rint variants.
* math/e_scalbf.c (invalid_fn): Likewise.
* math/e_scalbl.c (invalid_fn): Likewise.
* sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r):
Likewise.
* sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r):
Likewise.
* sysdeps/ieee754/k_standard.c (__kernel_standard): Likewise.
* sysdeps/ieee754/k_standardl.c (__kernel_standard_l): 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.
* sysdeps/powerpc/powerpc32/fpu/s_llrint.c (__llrint): Likewise.
* sysdeps/powerpc/powerpc32/fpu/s_llrintf.c (__llrintf): Likewise.
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Similar to the changes that were made to call sqrt functions directly
in glibc, instead of __ieee754_sqrt variants, so that the compiler
could inline them automatically without needing special inline
definitions in lots of math_private.h headers, this patch makes libm
code call floor functions directly instead of __floor variants,
removing the inlines / macros for x86_64 (SSE4.1) and powerpc
(POWER5).
The redirection used to ensure that __ieee754_sqrt does still get
called when the compiler doesn't inline a built-in function expansion
is refactored so it can be applied to other functions; the refactoring
is arranged so it's not limited to unary functions either (it would be
reasonable to use this mechanism for copysign - removing the inline in
math_private_calls.h but also eliminating unnecessary local PLT entry
use in the cases (powerpc soft-float and e500v1, for IBM long double)
where copysign calls don't get inlined).
The point of this change is that more architectures can get floor
calls inlined where they weren't previously (AArch64, for example),
without needing special inline definitions in their math_private.h,
and existing such definitions in math_private.h headers can be
removed.
Note that it's possible that in some cases an inline may be used where
an IFUNC call was previously used - this is the case on x86_64, for
example. I think the direct calls to floor are still appropriate; if
there's any significant performance cost from inline SSE2 floor
instead of an IFUNC call ending up with SSE4.1 floor, that indicates
that either the function should be doing something else that's faster
than using floor at all, or it should itself have IFUNC variants, or
that the compiler choice of inlining for generic tuning should change
to allow for the possibility that, by not inlining, an SSE4.1 IFUNC
might be called at runtime - but not that glibc should avoid calling
floor internally. (After all, all the same considerations would apply
to any user program calling floor, where it might either be inlined or
left as an out-of-line call allowing for a possible IFUNC.)
Tested for x86_64, and with build-many-glibcs.py.
* include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ &&
__FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (MATH_REDIRECT):
New macro.
[!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
&& !NO_MATH_REDIRECT] (MATH_REDIRECT_LDBL): Likewise.
[!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
&& !NO_MATH_REDIRECT] (MATH_REDIRECT_F128): Likewise.
[!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
&& !NO_MATH_REDIRECT] (MATH_REDIRECT_UNARY_ARGS): Likewise.
[!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
&& !NO_MATH_REDIRECT] (sqrt): Redirect using MATH_REDIRECT.
[!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
&& !NO_MATH_REDIRECT] (floor): Likewise.
* sysdeps/aarch64/fpu/s_floor.c: Define NO_MATH_REDIRECT before
header inclusion.
* sysdeps/aarch64/fpu/s_floorf.c: Likewise.
* sysdeps/ieee754/dbl-64/s_floor.c: Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/s_floor.c: Likewise.
* sysdeps/ieee754/float128/s_floorf128.c: Likewise.
* sysdeps/ieee754/flt-32/s_floorf.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_floorl.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_floorl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_floor_template.c: Likewise.
* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_floor.c: Likewise.
* sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_floorf.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/multiarch/s_floor.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/multiarch/s_floorf.c: Likewise.
* sysdeps/riscv/rv64/rvd/s_floor.c: Likewise.
* sysdeps/riscv/rvf/s_floorf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_floor.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_floorf.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_floor.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/s_floorf.c: Likewise.
* sysdeps/powerpc/fpu/math_private.h [_ARCH_PWR5X] (__floor):
Remove macro.
[_ARCH_PWR5X] (__floorf): Likewise.
* sysdeps/x86_64/fpu/math_private.h [__SSE4_1__] (__floor): Remove
inline function.
[__SSE4_1__] (__floorf): Likewise.
* math/w_lgamma_main.c (LGFUNC (__lgamma)): Use floor functions
instead of __floor variants.
* math/w_lgamma_r_compat.c (__lgamma_r): Likewise.
* math/w_lgammaf_main.c (LGFUNC (__lgammaf)): Likewise.
* math/w_lgammaf_r_compat.c (__lgammaf_r): Likewise.
* math/w_lgammal_main.c (LGFUNC (__lgammal)): Likewise.
* math/w_lgammal_r_compat.c (__lgammal_r): Likewise.
* math/w_tgamma_compat.c (__tgamma): Likewise.
* math/w_tgamma_template.c (M_DECL_FUNC (__tgamma)): Likewise.
* math/w_tgammaf_compat.c (__tgammaf): Likewise.
* math/w_tgammal_compat.c (__tgammal): Likewise.
* sysdeps/ieee754/dbl-64/e_lgamma_r.c (sin_pi): Likewise.
* sysdeps/ieee754/dbl-64/k_rem_pio2.c (__kernel_rem_pio2):
Likewise.
* sysdeps/ieee754/dbl-64/lgamma_neg.c (__lgamma_neg): Likewise.
* sysdeps/ieee754/flt-32/e_lgammaf_r.c (sin_pif): Likewise.
* sysdeps/ieee754/flt-32/lgamma_negf.c (__lgamma_negf): Likewise.
* sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r):
Likewise.
* sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise.
* sysdeps/ieee754/ldbl-128/lgamma_negl.c (__lgamma_negl):
Likewise.
* sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_lgammal_r.c (__ieee754_lgammal_r):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/lgamma_negl.c (__lgamma_negl):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (__expm1l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_truncl.c (__truncl): Likewise.
* sysdeps/ieee754/ldbl-96/e_lgammal_r.c (sin_pi): Likewise.
* sysdeps/ieee754/ldbl-96/lgamma_negl.c (__lgamma_negl): Likewise.
* sysdeps/powerpc/power5+/fpu/s_modf.c (__modf): Likewise.
* sysdeps/powerpc/power5+/fpu/s_modff.c (__modff): Likewise.
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Similar algorithm is used as in log: log2(2^k x) = k + log2(c) + log2(x/c)
where the last term is approximated by a polynomial of x/c - 1, the first
order coefficient is about 1/ln2 in this case.
There is separate code path when fma instruction is not available for
computing x/c - 1 precisely, for which the table size is doubled.
The worst case error is 0.547 ULP (0.55 without fma), the read only
global data size is 1168 bytes (2192 without fma) on aarch64. The
non-nearest rounding error is less than 1 ULP.
Improvements on Cortex-A72 compared to current glibc master:
log2 thruput: 2.00x in [0.01 11.1]
log2 latency: 2.04x in [0.01 11.1]
log2 thruput: 2.17x in [0.999 1.001]
log2 latency: 2.88x in [0.999 1.001]
Tested on
aarch64-linux-gnu (defined __FP_FAST_FMA)
arm-linux-gnueabihf (!defined __FP_FAST_FMA)
x86_64-linux-gnu (!defined __FP_FAST_FMA)
powerpc64le-linxu-gnu (defined __FP_FAST_FMA)
targets.
* NEWS: Mention log2 improvements.
* math/Makefile (type-double-routines): Add e_log2_data.
* sysdeps/i386/fpu/e_log2_data.c: New file.
* sysdeps/ia64/fpu/e_log2_data.c: New file.
* sysdeps/ieee754/dbl-64/e_log2.c: Rewrite.
* sysdeps/ieee754/dbl-64/e_log2_data.c: New file.
* sysdeps/ieee754/dbl-64/math_config.h (__log2_data): Add.
* sysdeps/ieee754/dbl-64/wordsize-64/e_log2.c: Remove.
* sysdeps/m68k/m680x0/fpu/e_log2_data.c: New file.
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Optimized log using carefully generated lookup table with 1/c and log(c)
values for small intervalls around 1. The log(c) is very near a double
precision value, it has about 62 bits precision. The algorithm is
log(2^k x) = k log(2) + log(c) + log(x/c), where the last term is
approximated by a polynomial of x/c - 1. Near 1 a single polynomial of
x - 1 is used.
There is separate code path when fma instruction is not available for
computing x/c - 1 precisely, in which case the table size is doubled.
The code uses __builtin_fma under __FP_FAST_FMA to ensure it is inlined
as an instruction.
With the default configuration settings the worst case error is 0.519 ULP
(and 0.520 without fma), the rodata size is 2192 bytes (4240 without fma).
The non-nearest rounding error is less than 1 ULP.
Improvements on Cortex-A72 compared to current glibc master:
log thruput: 3.28x in [0.01 11.1]
log latency: 2.23x in [0.01 11.1]
log thruput: 1.56x in [0.999 1.001]
log latency: 1.57x in [0.999 1.001]
Tested on
aarch64-linux-gnu (defined __FP_FAST_FMA)
arm-linux-gnueabihf (!defined __FP_FAST_FMA)
x86_64-linux-gnu (!defined __FP_FAST_FMA)
powerpc64le-linux-gnu (defined __FP_FAST_FMA)
targets.
* NEWS: Mention log improvement.
* math/Makefile (type-double-routines): Add e_log_data.
* sysdeps/i386/fpu/e_log_data.c: New file.
* sysdeps/ia64/fpu/e_log_data.c: New file.
* sysdeps/ieee754/dbl-64/e_log.c: Rewrite.
* sysdeps/ieee754/dbl-64/e_log_data.c: New file.
* sysdeps/ieee754/dbl-64/math_config.h (__log_data): Add.
* sysdeps/ieee754/dbl-64/ulog.h: Remove.
* sysdeps/ieee754/dbl-64/ulog.tbl: Remove.
* sysdeps/m68k/m680x0/fpu/e_log_data.c: New file.
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Optimized exp and exp2 implementations using a lookup table for
fractional powers of 2. There are several variants, see e_exp_data.c,
they can be selected by modifying math_config.h allowing different
tradeoffs.
The default selection should be acceptable as generic libm code.
Worst case error is 0.509 ULP for exp and 0.507 ULP for exp2, on
aarch64 the rodata size is 2160 bytes, shared between exp and exp2.
On aarch64 .text + .rodata size decreased by 24912 bytes.
The non-nearest rounding error is less than 1 ULP even on targets
without efficient round implementation (although the error rate is
higher in that case). Targets with single instruction, rounding mode
independent, to nearest integer rounding and conversion can use them
by setting TOINT_INTRINSICS and adding the necessary code to their
math_private.h.
The __exp1 code uses the same algorithm, so the error bound of pow
increased a bit.
New double precision error handling code was added following the
style of the single precision error handling code.
Improvements on Cortex-A72 compared to current glibc master:
exp thruput: 1.61x in [-9.9 9.9]
exp latency: 1.53x in [-9.9 9.9]
exp thruput: 1.13x in [0.5 1]
exp latency: 1.30x in [0.5 1]
exp2 thruput: 2.03x in [-9.9 9.9]
exp2 latency: 1.64x in [-9.9 9.9]
For small (< 1) inputs the current exp code uses a separate algorithm
so the speed up there is less.
Was tested on
aarch64-linux-gnu (TOINT_INTRINSICS, fma contraction) and
arm-linux-gnueabihf (!TOINT_INTRINSICS, no fma contraction) and
x86_64-linux-gnu (!TOINT_INTRINSICS, no fma contraction) and
powerpc64le-linux-gnu (!TOINT_INTRINSICS, fma contraction) targets,
only non-nearest rounding ulp errors increase and they are within
acceptable bounds (ulp updates are in separate patches).
* NEWS: Mention exp and exp2 improvements.
* math/Makefile (libm-support): Remove t_exp.
(type-double-routines): Add math_err and e_exp_data.
* sysdeps/aarch64/libm-test-ulps: Update.
* sysdeps/arm/libm-test-ulps: Update.
* sysdeps/i386/fpu/e_exp_data.c: New file.
* sysdeps/i386/fpu/math_err.c: New file.
* sysdeps/i386/fpu/t_exp.c: Remove.
* sysdeps/ia64/fpu/e_exp_data.c: New file.
* sysdeps/ia64/fpu/math_err.c: New file.
* sysdeps/ia64/fpu/t_exp.c: Remove.
* sysdeps/ieee754/dbl-64/e_exp.c: Rewrite.
* sysdeps/ieee754/dbl-64/e_exp2.c: Rewrite.
* sysdeps/ieee754/dbl-64/e_exp_data.c: New file.
* sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Update error bound.
* sysdeps/ieee754/dbl-64/eexp.tbl: Remove.
* sysdeps/ieee754/dbl-64/math_config.h: New file.
* sysdeps/ieee754/dbl-64/math_err.c: New file.
* sysdeps/ieee754/dbl-64/t_exp.c: Remove.
* sysdeps/ieee754/dbl-64/t_exp2.h: Remove.
* sysdeps/ieee754/dbl-64/uexp.h: Remove.
* sysdeps/ieee754/dbl-64/uexp.tbl: Remove.
* sysdeps/m68k/m680x0/fpu/e_exp_data.c: New file.
* sysdeps/m68k/m680x0/fpu/math_err.c: New file.
* sysdeps/m68k/m680x0/fpu/t_exp.c: Remove.
* sysdeps/powerpc/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Update.
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Remove empty files due to the sin/cos improvements: k_sinf.c, k_cosf.c,
k_cos.c, k_sin.c. After the tanf change s_rem_pio2f.c and k_rem_pio2f.c
(and the ia64, m68k and powerpc equivalents) are no longer used,
so remove them. All e_rem_pio2.c files were already empty or commented
out, so remove them too. Passes build-many-glibcs.
* math/Makefile: Remove empty files k_sin(f).c, k_cos(f).c.
Remove unused files e_rem_pio2(f).c, k_rem_pio2f.c.
* sysdeps/i386/fpu/e_rem_pio2.c: Delete file.
* sysdeps/ia64/fpu/e_rem_pio2.c: Likewise.
* sysdeps/ia64/fpu/e_rem_pio2f.c: Likewise.
* sysdeps/ia64/fpu/k_rem_pio2f.c: Likewise.
* sysdeps/ieee754/dbl-64/e_rem_pio2.c: Likewise.
* sysdeps/ieee754/dbl-64/k_cos.c: Likewise.
* sysdeps/ieee754/dbl-64/k_sin.c: Likewise.
* sysdeps/ieee754/flt-32/e_rem_pio2f.c: Likewise.
* sysdeps/ieee754/flt-32/k_cosf.c: Likewise.
* sysdeps/ieee754/flt-32/k_rem_pio2f.c: Likewise.
* sysdeps/ieee754/flt-32/k_sinf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/e_rem_pio2.c: Likewise
* sysdeps/m68k/m680x0/fpu/e_rem_pio2f.c: Likewise
* sysdeps/m68k/m680x0/fpu/k_rem_pio2f.c: Likewise
* sysdeps/powerpc/fpu/e_rem_pio2f.c: Likewise.
* sysdeps/powerpc/fpu/k_rem_pio2f.c: Likewise.
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This patch is a complete rewrite of sincosf. The new version is
significantly faster, as well as simple and accurate.
The worst-case ULP is 0.5607, maximum relative error is 0.5303 * 2^-23 over
all 4 billion inputs. In non-nearest rounding modes the error is 1ULP.
The algorithm uses 3 main cases: small inputs which don't need argument
reduction, small inputs which need a simple range reduction and large inputs
requiring complex range reduction. The code uses approximate integer
comparisons to quickly decide between these cases.
The small range reducer uses a single reduction step to handle values up to
120.0. It is fastest on targets which support inlined round instructions.
The large range reducer uses integer arithmetic for simplicity. It does a
32x96 bit multiply to compute a 64-bit modulo result. This is more than
accurate enough to handle the worst-case cancellation for values close to
an integer multiple of PI/4. It could be further optimized, however it is
already much faster than necessary.
sincosf throughput gains on Cortex-A72:
* |x| < 0x1p-12 : 1.6x
* |x| < M_PI_4 : 1.7x
* |x| < 2 * M_PI: 1.5x
* |x| < 120.0 : 1.8x
* |x| < Inf : 2.3x
* math/Makefile: Add s_sincosf_data.c.
* sysdeps/ia64/fpu/s_sincosf_data.c: New file.
* sysdeps/ieee754/flt-32/s_sincosf.h (abstop12): Add new function.
(sincosf_poly): Likewise.
(reduce_small): Likewise.
(reduce_large): Likewise.
* sysdeps/ieee754/flt-32/s_sincosf.c (sincosf): Rewrite.
* sysdeps/ieee754/flt-32/s_sincosf_data.c: New file with sincosf data.
* sysdeps/m68k/m680x0/fpu/s_sincosf_data.c: New file.
* sysdeps/x86_64/fpu/s_sincosf_data.c: New file.
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Commit 5e79e0292bfb03f40e43379fd92581ad8eae9cb8 broke m68k after
s_significand.c became available in the build directory. All m68k
implementations of log1p and significand were including s_significand.c
and stopped working after the inclusion of the the auto-generated file.
This patch reorganizes the implementation of log1p and significand for
m680x0 in order to avoid hitting this problem.
* sysdeps/m68k/m680x0/fpu/s_log1p.c: Set as the generic file for
all log1p and significand functions on m680x0.
* sysdeps/m68k/m680x0/fpu/s_log1pf.c: Include s_log1p.c instead
of s_significand.c..
* sysdeps/m68k/m680x0/fpu/s_log1pl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_significandf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_significandl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_significand.c: Move all the code to
s_log1p.c and include it..
Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
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This patch continues the math_private.h cleanup by stopping
math_private.h from including math-barriers.h and making the users of
the barrier macros include the latter header directly. No attempt is
made to remove any math_private.h includes that are now unused, except
in strtod_l.c where that is done to avoid line number changes in
assertions, so that installed stripped shared libraries can be
compared before and after the patch. (I think the floating-point
environment support in math_private.h should also move out - some
architectures already have fenv_private.h as an architecture-internal
header included from their math_private.h - and after moving that out
might be a better time to identify unused math_private.h includes.)
Tested for x86_64 and x86, and tested with build-many-glibcs.py that
installed stripped shared libraries are unchanged by the patch.
* sysdeps/generic/math_private.h: Do not include
<math-barriers.h>.
* stdlib/strtod_l.c: Include <math-barriers.h> instead of
<math_private.h>.
* math/fromfp.h: Include <math-barriers.h>.
* math/math-narrow.h: Likewise.
* math/s_nextafter.c: Likewise.
* math/s_nexttowardf.c: Likewise.
* sysdeps/aarch64/fpu/s_llrint.c: Likewise.
* sysdeps/aarch64/fpu/s_llrintf.c: Likewise.
* sysdeps/aarch64/fpu/s_lrint.c: Likewise.
* sysdeps/aarch64/fpu/s_lrintf.c: Likewise.
* sysdeps/i386/fpu/s_nextafterl.c: Likewise.
* sysdeps/i386/fpu/s_nexttoward.c: Likewise.
* sysdeps/i386/fpu/s_nexttowardf.c: Likewise.
* sysdeps/ieee754/dbl-64/e_atan2.c: Likewise.
* sysdeps/ieee754/dbl-64/e_atanh.c: Likewise.
* sysdeps/ieee754/dbl-64/e_exp.c: Likewise.
* sysdeps/ieee754/dbl-64/e_exp2.c: Likewise.
* sysdeps/ieee754/dbl-64/e_j0.c: Likewise.
* sysdeps/ieee754/dbl-64/e_sqrt.c: Likewise.
* sysdeps/ieee754/dbl-64/s_expm1.c: Likewise.
* sysdeps/ieee754/dbl-64/s_fma.c: Likewise.
* sysdeps/ieee754/dbl-64/s_fmaf.c: Likewise.
* sysdeps/ieee754/dbl-64/s_log1p.c: Likewise.
* sysdeps/ieee754/dbl-64/s_nearbyint.c: Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c: Likewise.
* sysdeps/ieee754/flt-32/e_atanhf.c: Likewise.
* sysdeps/ieee754/flt-32/e_j0f.c: Likewise.
* sysdeps/ieee754/flt-32/s_expm1f.c: Likewise.
* sysdeps/ieee754/flt-32/s_log1pf.c: Likewise.
* sysdeps/ieee754/flt-32/s_nearbyintf.c: Likewise.
* sysdeps/ieee754/flt-32/s_nextafterf.c: Likewise.
* sysdeps/ieee754/k_standardl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_asinl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_expl.c: Likewise.
* sysdeps/ieee754/ldbl-128/e_powl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_fmal.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_nearbyintl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_nextafterl.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_nexttoward.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_nexttowardf.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_rintl.c: Likewise.
* sysdeps/ieee754/ldbl-96/e_atanhl.c: Likewise.
* sysdeps/ieee754/ldbl-96/e_j0l.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_fma.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_fmal.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_nexttoward.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_nexttowardf.c: Likewise.
* sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_nextafterl.c: Likewise.
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This patch continues cleaning up math_private.h by moving the
math_opt_barrier and math_force_eval macros to a separate header
math-barriers.h.
At present, those macros are inside a "#ifndef math_opt_barrier" in
math_private.h to allow architectures to override them and then use
a separate math-barriers.h header, no such #ifndef or #include_next is
needed; architectures just have their own alternative version of
math-barriers.h when providing their own optimized versions that avoid
going through memory unnecessarily. The generic math-barriers.h has a
comment added to document these two macros.
In this patch, math_private.h is made to #include <math-barriers.h>,
so files using these macros do not need updating yet. That is because
of uses of math_force_eval in math_check_force_underflow and
math_check_force_underflow_nonneg, which are still defined in
math_private.h. Once those are moved out to a separate header, that
separate header can be made to include <math-barriers.h>, as can the
other files directly using these barrier macros, and then the include
of <math-barriers.h> from math_private.h can be removed.
Tested for x86_64 and x86. Also tested with build-many-glibcs.py that
installed stripped shared libraries are unchanged by this patch.
* sysdeps/generic/math-barriers.h: New file.
* sysdeps/generic/math_private.h [!math_opt_barrier]
(math_opt_barrier): Move to math-barriers.h.
[!math_opt_barrier] (math_force_eval): Likewise.
* sysdeps/aarch64/fpu/math-barriers.h: New file.
* sysdeps/aarch64/fpu/math_private.h (math_opt_barrier): Move to
math-barriers.h.
(math_force_eval): Likewise.
* sysdeps/alpha/fpu/math-barriers.h: New file.
* sysdeps/alpha/fpu/math_private.h (math_opt_barrier): Move to
math-barriers.h.
(math_force_eval): Likewise.
* sysdeps/x86/fpu/math-barriers.h: New file.
* sysdeps/i386/fpu/fenv_private.h (math_opt_barrier): Move to
math-barriers.h.
(math_force_eval): Likewise.
* sysdeps/m68k/m680x0/fpu/math_private.h: Move to....
* sysdeps/m68k/m680x0/fpu/math-barriers.h: ... here. Adjust
multiple-include guard for rename.
* sysdeps/powerpc/fpu/math-barriers.h: New file.
* sysdeps/powerpc/fpu/math_private.h (math_opt_barrier): Move to
math-barriers.h.
(math_force_eval): Likewise.
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Revert m68k __ieee754_sqrt change as it causes a build failure in one
m68k configuration. m68k-linux-gnu now passes again.
* sysdeps/m68k/m680x0/fpu/mathimpl.h (__ieee754_sqrt): Revert previous
commit.
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Remove the now unused target specific__ieee754_sqrt(f/l) inlines.
Also remove inlines of sqrt which are for really old GCC versions.
Removing these is desirable, under the general principle of leaving
such inlining to the compiler rather than trying to do it in installed
headers, especially when only very old compilers are affected.
Note that removing inlines for __ieee754_sqrt disables inlining in the
sqrt wrapper functions. Given the sqrt function will typically only be
called for negative arguments, it doesn't matter whether the inlining
happens or not.
* sysdeps/aarch64/fpu/math_private.h (__ieee754_sqrt): Remove.
(__ieee754_sqrtf): Remove.
* sysdeps/alpha/fpu/math_private.h (__ieee754_sqrt): Remove.
(__ieee754_sqrtf): Remove.
* sysdeps/generic/math-type-macros.h (M_SQRT): Use sqrt.
* sysdeps/m68k/m680x0/fpu/mathimpl.h (__ieee754_sqrt): Remove.
* sysdeps/powerpc/fpu/math_private.h (__ieee754_sqrt): Remove.
(__ieee754_sqrtf): Remove.
* sysdeps/s390/fpu/bits/mathinline.h: Remove file.
* sysdeps/sparc/fpu/bits/mathinline.h (sqrt) Remove.
(sqrtf): Remove.
(sqrtl): Remove.
(__ieee754_sqrt): Remove.
(__ieee754_sqrtf): Remove.
(__ieee754_sqrtl): Remove.
* sysdeps/m68k/m680x0/fpu/mathimpl.h (__ieee754_sqrt): Remove.
* sysdeps/x86/fpu/math_private.h (__ieee754_sqrt): Remove.
* sysdeps/x86_64/fpu/math_private.h (__ieee754_sqrt): Remove.
(__ieee754_sqrtf): Remove.
(__ieee754_sqrtl): Remove.
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Use sqrt(f/l) to enable inlining by GCC - if inlining doesn't happen,
the asm redirect ensures we will still call __ieee754_sqrt(f/l).
* sysdeps/ieee754/dbl-64/e_acosh.c (__ieee754_acosh): Use sqrt.
* sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Likewise.
* sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Likewise.
* sysdeps/ieee754/dbl-64/e_j0.c (__ieee754_j0): Likewise.
* sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Likewise.
* sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise.
* sysdeps/ieee754/dbl-64/s_asinh.c (__asinh): Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/e_acosh.c (__ieee754_acosh): Likewise.
* sysdeps/ieee754/flt-32/e_acosf.c (__ieee754_acosf): Likewise.
* sysdeps/ieee754/flt-32/e_acoshf.c (__ieee754_acoshf): Likewise.
* sysdeps/ieee754/flt-32/e_asinf.c (__ieee754_asinf): Likewise.
* sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise.
* sysdeps/ieee754/flt-32/e_hypotf.c (__ieee754_hypotf): Likewise.
* sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_j0f): Likewise.
* sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Likewise.
* sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Likewise.
* sysdeps/ieee754/flt-32/s_asinhf.c (__asinhf): Likewise.
* sysdeps/ieee754/ldbl-128/e_acoshl.c (__ieee754_acoshl): Use sqrtl.
* sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Likewise.
* sysdeps/ieee754/ldbl-128/e_asinl.c (__ieee754_asinl): Likewise.
* sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Likewise.
* sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl): Likewise.
* sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_j0l): Likewise.
* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Likewise.
* sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise.
* sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise.
* sysdeps/ieee754/ldbl-128/s_asinhl.c (__ieee754_asinhl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (__ieee754_acoshl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_hypotl.c (__ieee754_hypotl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_j0l.c (__ieee754_j0l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_j1l.c (__ieee754_j1l): Likewise
* sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__ieee754_asinhl): Likewise.
* sysdeps/ieee754/ldbl-96/e_acoshl.c (__ieee754_acoshl): Use sqrtl.
* sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise.
* sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Likewise.
* sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise.
* sysdeps/ieee754/ldbl-96/e_j0l.c (__ieee754_j0l): Likewise.
* sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Likewise.
* sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise.
* sysdeps/ieee754/ldbl-96/s_asinhl.c (__ieee754_asinhl): Likewise.
* sysdeps/m68k/m680x0/fpu/e_pow.c (__ieee754_pow): Likewise.
* sysdeps/powerpc/fpu/e_hypot.c (__ieee754_hypot): Likewise.
* sysdeps/powerpc/fpu/e_hypotf.c (__ieee754_hypotf): Likewise.
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Remove the now unused mplog and mpexp files.
* math/Makefile: Remove mpexp.c and mplog.c
* sysdeps/i386/fpu/mpexp.c: Delete file.
* sysdeps/i386/fpu/mplog.c: Likewise.
* sysdeps/ia64/fpu/mpexp.c: Likewise.
* sysdeps/ia64/fpu/mplog.c: Likewise.
* sysdeps/ieee754/dbl-64/e_exp.c: Remove mention of mpexp and mplog.
* sysdeps/ieee754/dbl-64/mpa.h (__pow_mp): Remove unused function.
* sysdeps/ieee754/dbl-64/mpexp.c: Delete file.
* sysdeps/ieee754/dbl-64/mplog.c: Likewise.
* sysdeps/m68k/m680x0/fpu/mpexp.c: Likewise.
* sysdeps/m68k/m680x0/fpu/mplog.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/Makefile: Remove mpexp* and mplog*.
* sysdeps/x86_64/fpu/multiarch/e_log-avx.c: Remove unused defines.
* sysdeps/x86_64/fpu/multiarch/e_log-fma.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/e_log-fma4.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/mpexp-avx.c: Delete file.
* sysdeps/x86_64/fpu/multiarch/mpexp-fma.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/mpexp-fma4.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/mplog-avx.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/mplog-fma.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/mplog-fma4.c: Likewise.
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Remove the __slowexp code, so exp is no longer correctly rounded. The
result is computed to about 70 bits precision so the worst case ulp
error is about 0.500007 in nearest rounding mode.
* manual/probes.texi: Remove slowexp probes.
* math/Makefile: Remove slowexp.
* sysdeps/generic/math_private.h (__slowexp): Remove.
* sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Remove __slowexp and
document error bounds.
* sysdeps/i386/fpu/slowexp.c: Remove.
* sysdeps/ia64/fpu/slowexp.c: Remove.
* sysdeps/ieee754/dbl-64/slowexp.c: Remove.
* sysdeps/ieee754/dbl-64/uexp.h (err_0): Remove.
* sysdeps/m68k/m680x0/fpu/slowexp.c: Remove.
* sysdeps/powerpc/power4/fpu/Makefile (CPPFLAGS-slowexp.c): Remove.
* sysdeps/x86_64/fpu/multiarch/Makefile: Remove slowexp-fma.
* sysdeps/x86_64/fpu/multiarch/e_exp-avx.c (__slowexp): Remove.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma.c (__slowexp): Remove.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c (__slowexp): Remove.
* sysdeps/x86_64/fpu/multiarch/slowexp-avx.c: Remove.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma.c: Remove.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c: Remove.
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Remove the slow paths from pow. Like several other double precision math
functions, pow is exactly rounded. This is not required from math functions
and causes major overheads as it requires multiple fallbacks using higher
precision arithmetic if a result is close to 0.5ULP. Ridiculous slowdowns
of up to 100000x have been reported when the highest precision path triggers.
All GLIBC math tests pass on AArch64 and x64 (with ULP of pow set to 1).
The worst case error is ~0.506ULP. A simple test over a few hundred million
values shows pow is 10% faster on average. This fixes BZ #13932.
[BZ #13932]
* sysdeps/ieee754/dbl-64/uexp.h (err_1): Remove.
* benchtests/pow-inputs: Update comment for slow path cases.
* manual/probes.texi (slowpow_p10): Delete removed probe.
(slowpow_p10): Likewise.
* math/Makefile: Remove halfulp.c and slowpow.c.
* sysdeps/aarch64/libm-test-ulps: Set ULP of pow to 1.
* sysdeps/generic/math_private.h (__exp1): Remove error argument.
(__halfulp): Remove.
(__slowpow): Remove.
* sysdeps/i386/fpu/halfulp.c: Delete file.
* sysdeps/i386/fpu/slowpow.c: Likewise.
* sysdeps/ia64/fpu/halfulp.c: Likewise.
* sysdeps/ia64/fpu/slowpow.c: Likewise.
* sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove error argument,
improve comments and add error analysis.
* sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Add error analysis.
(power1): Remove function:
(log1): Remove error argument, add error analysis.
(my_log2): Remove function.
* sysdeps/ieee754/dbl-64/halfulp.c: Delete file.
* sysdeps/ieee754/dbl-64/slowpow.c: Likewise.
* sysdeps/m68k/m680x0/fpu/halfulp.c: Likewise.
* sysdeps/m68k/m680x0/fpu/slowpow.c: Likewise.
* sysdeps/powerpc/power4/fpu/Makefile: Remove CPPFLAGS-slowpow.c.
* sysdeps/x86_64/fpu/libm-test-ulps: Set ULP of pow to 1.
* sysdeps/x86_64/fpu/multiarch/Makefile: Remove slowpow-fma.c,
slowpow-fma4.c, halfulp-fma.c, halfulp-fma4.c.
* sysdeps/x86_64/fpu/multiarch/e_pow-fma.c (__slowpow): Remove define.
* sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c (__slowpow): Likewise.
* sysdeps/x86_64/fpu/multiarch/halfulp-fma.c: Delete file.
* sysdeps/x86_64/fpu/multiarch/halfulp-fma4.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowpow-fma.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowpow-fma4.c: Likewise.
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* All files with FSF copyright notices: Update copyright dates
using scripts/update-copyrights.
* locale/programs/charmap-kw.h: Regenerated.
* locale/programs/locfile-kw.h: Likewise.
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Revert:
2017-12-19 Joseph Myers <joseph@codesourcery.com>
* sysdeps/x86_64/fpu/libm-test-ulps: Update.
2017-12-19 Patrick McGehearty <patrick.mcgehearty@oracle.com>
* sysdeps/ieee754/dbl-64/e_exp.c: Include <math-svid-compat.h> and
<errno.h>. Include "eexp.tbl".
(half): New constant.
(one): Likewise.
(__ieee754_exp): Rewrite.
(__slowexp): Remove prototype.
* sysdeps/ieee754/dbl-64/eexp.tbl: New file.
* sysdeps/ieee754/dbl-64/slowexp.c: Remove file.
* sysdeps/i386/fpu/slowexp.c: Likewise.
* sysdeps/ia64/fpu/slowexp.c: Likewise.
* sysdeps/m68k/m680x0/fpu/slowexp.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowexp-avx.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c: Likewise.
* sysdeps/generic/math_private.h (__slowexp): Remove prototype.
* sysdeps/ieee754/dbl-64/e_pow.c: Remove mention of slowexp.c in
comment.
* sysdeps/powerpc/power4/fpu/Makefile [$(subdir) = math]
(CPPFLAGS-slowexp.c): Remove variable.
* sysdeps/x86_64/fpu/multiarch/Makefile (libm-sysdep_routines):
Remove slowexp-fma, slowexp-fma4 and slowexp-avx.
(CFLAGS-slowexp-fma.c): Remove variable.
(CFLAGS-slowexp-fma4.c): Likewise.
(CFLAGS-slowexp-avx.c): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_exp-avx.c (__slowexp): Do not
define as macro.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma.c (__slowexp): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c (__slowexp): Likewise.
* math/Makefile (type-double-routines): Remove slowexp.
* manual/probes.texi (slowexp_p6): Remove.
(slowexp_p32): Likewise.
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These changes will be active for all platforms that don't provide
their own exp() routines. They will also be active for ieee754
versions of ccos, ccosh, cosh, csin, csinh, sinh, exp10, gamma, and
erf.
Typical performance gains is typically around 5x when measured on
Sparc s7 for common values between exp(1) and exp(40).
Using the glibc perf tests on sparc,
sparc (nsec) x86 (nsec)
old new old new
max 17629 395 5173 144
min 399 54 15 13
mean 5317 200 1349 23
The extreme max times for the old (ieee754) exp are due to the
multiprecision computation in the old algorithm when the true value is
very near 0.5 ulp away from an value representable in double
precision. The new algorithm does not take special measures for those
cases. The current glibc exp perf tests overrepresent those values.
Informal testing suggests approximately one in 200 cases might
invoke the high cost computation. The performance advantage of the new
algorithm for other values is still large but not as large as indicated
by the chart above.
Glibc correctness tests for exp() and expf() were run. Within the
test suite 3 input values were found to cause 1 bit differences (ulp)
when "FE_TONEAREST" rounding mode is set. No differences in exp() were
seen for the tested values for the other rounding modes.
Typical example:
exp(-0x1.760cd2p+0) (-1.46113312244415283203125)
new code: 2.31973271630014299393707e-01 0x1.db14cd799387ap-3
old code: 2.31973271630014271638132e-01 0x1.db14cd7993879p-3
exp = 2.31973271630014285508337 (high precision)
Old delta: off by 0.49 ulp
New delta: off by 0.51 ulp
In addition, because ieee754_exp() is used by other routines, cexp()
showed test results with very small imaginary input values where the
imaginary portion of the result was off by 3 ulp when in upward
rounding mode, but not in the other rounding modes. For x86, tgamma
showed a few values where the ulp increased to 6 (max ulp for tgamma
is 5). Sparc tgamma did not show these failures. I presume the tgamma
differences are due to compiler optimization differences within the
gamma function.The gamma function is known to be difficult to compute
accurately.
* sysdeps/ieee754/dbl-64/e_exp.c: Include <math-svid-compat.h> and
<errno.h>. Include "eexp.tbl".
(half): New constant.
(one): Likewise.
(__ieee754_exp): Rewrite.
(__slowexp): Remove prototype.
* sysdeps/ieee754/dbl-64/eexp.tbl: New file.
* sysdeps/ieee754/dbl-64/slowexp.c: Remove file.
* sysdeps/i386/fpu/slowexp.c: Likewise.
* sysdeps/ia64/fpu/slowexp.c: Likewise.
* sysdeps/m68k/m680x0/fpu/slowexp.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowexp-avx.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma.c: Likewise.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c: Likewise.
* sysdeps/generic/math_private.h (__slowexp): Remove prototype.
* sysdeps/ieee754/dbl-64/e_pow.c: Remove mention of slowexp.c in
comment.
* sysdeps/powerpc/power4/fpu/Makefile [$(subdir) = math]
(CPPFLAGS-slowexp.c): Remove variable.
* sysdeps/x86_64/fpu/multiarch/Makefile (libm-sysdep_routines):
Remove slowexp-fma, slowexp-fma4 and slowexp-avx.
(CFLAGS-slowexp-fma.c): Remove variable.
(CFLAGS-slowexp-fma4.c): Likewise.
(CFLAGS-slowexp-avx.c): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_exp-avx.c (__slowexp): Do not
define as macro.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma.c (__slowexp): Likewise.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c (__slowexp): Likewise.
* math/Makefile (type-double-routines): Remove slowexp.
* manual/probes.texi (slowexp_p6): Remove.
(slowexp_p32): Likewise.
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m68k bits/mathinline.h declares various functions with const
attributes. These are inappropriate for functions that have results
depending on the rounding mode; the machine-independent
bits/mathcalls.h only uses const attributes for a very few functions
with no rounding mode dependence, and the m68k header should do
likewise. GCC uses pure for such functions with -frounding-math,
resulting in GCC mainline warning for conflicts with between the
header and the built-in attributes and glibc failing to build for m68k
with GCC mainline.
This patch fixes the attributes to avoid using const except when
bits/mathcalls.h does so. (There are a few functions where maybe
bits/mathcalls.h could do so but doesn't, but keeping the headers in
sync in this regard seems to be the safe approach.)
Tested compilation with build-many-glibcs.py with GCC mainline.
[BZ #22631]
* sysdeps/m68k/m680x0/fpu/bits/mathinline.h (__m81_defun): Add
argument for attrubutes. All callers changed.
(__inline_mathop1): Likewise. All callers changed.
(__inline_mathop): Likewise. All callers changed.
[__USE_MISC] (scalbn): Use __inline_forward instead of
__inline_forward_c.
[__USE_ISOC99] (scalbln): Likewise.
[__USE_ISOC99] (nearbyint): Likewise.
[__USE_ISOC99] (lrint): Likewise.
[__USE_MISC] (scalbnf): Likewise.
[__USE_ISOC99] (scalblnf): Likewise.
[__USE_ISOC99] (nearbyintf): Likewise.
[__USE_ISOC99] (lrintf): Likewise.
[__USE_MISC] (scalbnl): Likewise.
[__USE_ISOC99] (scalblnl): Likewise.
[__USE_ISOC99] (nearbyintl): Likewise.
[__USE_ISOC99] (lrintl): Likewise.
* sysdeps/m68k/m680x0/fpu/mathimpl.h: All callers of
__inline_mathop and __m81_defun changed.
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Many m68k libm functions use their own system to share code between
different types and functions, involving defining macros before
including code for another function (for example, s_atan.c also acts
as a template that can define other functions).
Thes files serving as templates generate function aliases directly
with e.g. "weak_alias (__CONCATX(__,FUNC), FUNC)" in s_atan.c. To be
prepared to generate _Float32, _Float64 and _Float32x function
aliases, this needs changing so that the libm_alias_* macros get used
instead. As the macro to use varies depending on the type, that would
mean additional macros to define in several different places to get
the appropriate alias-generation macro used in each case.
Rather than adding to the m68k-specific mechanisms, this patch
converts the functions in question to use something closer to the
math/ type-generic template mechanism. After this patch, these
functions have m68k-specific templates such as s_atan_template.c, but
those templates use all the same macros as in the math/ templates,
such as FLOAT, M_DECL_FUNC, M_SUF and declare_mgen_alias. There is no
automatic generation of the files such as s_atan.c that include the
appropriate math-type-macros-*.h header and the template file (the
existing automatic generation logic is only applicable for the fixed
set of templates listed in math/ - and sysdeps sources always override
files generated that way), so those files are still checked in, but
they are all the obvious two-line files (with one additional
definition in the case of the expm1 implementations), rather than
making e.g. s_atan.c special.
Functions are only converted where they should have aliases for
_FloatN / _FloatNx types. Those m68k functions that do not generate
public names (those that only generate __ieee754_*, with wrappers
generating the public names, and classification functions that only
exist once per format not once per type so don't get aliases) are
unchanged. However, log1p (public names generated by wrapper) and
significand (not provided for new types so no new aliases needed)
needed changing because they previously included the atan
implementations. Now, s_significand.c is the main implementation for
functions with that prototype and using the old implementation
approach, while log1p includes it in place of atan.
Any further cleanups in this area (which preserve the proper set of
functions getting aliases defined by libm_alias_float and
libm_alias_double) are of course welcome, just not needed for the
goals of this patch.
Tested with build-many-glibcs.py that installed stripped shared
libraries are unchanged by the patch.
* sysdeps/m68k/m680x0/fpu/s_atan_template.c: New file.
* sysdeps/m68k/m680x0/fpu/s_ceil_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_cos_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_expm1_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_fabs_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_floor_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_frexp_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_lrint_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_modf_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_nearbyint_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_remquo_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_rint_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_sin_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_sincos_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_tan_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_tanh_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_trunc_template.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_atan.c: Reimplement to use
s_atan_template.c.
* sysdeps/m68k/m680x0/fpu/s_atanf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_atanl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_ceil.c: Reimplement to use
s_ceil_template.c.
* sysdeps/m68k/m680x0/fpu/s_ceilf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_ceill.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_cos.c: Reimplement to use
s_cos_template.c.
* sysdeps/m68k/m680x0/fpu/s_cosf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_cosl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_expm1.c: Reimplement to use
s_expm1_template.c.
* sysdeps/m68k/m680x0/fpu/s_expm1f.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_expm1l.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_fabs.c: Reimplement to use
s_fabs_template.c.
* sysdeps/m68k/m680x0/fpu/s_fabsf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_fabsl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_floor.c: Reimplement to use
s_floor_template.c.
* sysdeps/m68k/m680x0/fpu/s_floorf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_floorl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_frexp.c: Reimplement to use
s_frexp_template.c.
* sysdeps/m68k/m680x0/fpu/s_frexpf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_lrint.c: Reimplement to use
s_lrint_template.c.
* sysdeps/m68k/m680x0/fpu/s_lrintf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_lrintl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_modf.c: Reimplement to use
s_modf_template.c.
* sysdeps/m68k/m680x0/fpu/s_modff.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_modfl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_nearbyint.c: Reimplement to use
s_nearbyint_template.c.
* sysdeps/m68k/m680x0/fpu/s_nearbyintf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_nearbyintl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_remquo.c: Reimplement to use
s_remquo_template.c.
* sysdeps/m68k/m680x0/fpu/s_remquof.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_remquol.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_rint.c: Reimplement to use
s_rint_template.c.
* sysdeps/m68k/m680x0/fpu/s_rintf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_rintl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_sin.c: Reimplement to use
s_sin_template.c.
* sysdeps/m68k/m680x0/fpu/s_sinf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_sinl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_sincos.c: Reimplement to use
s_sincos_template.c.
* sysdeps/m68k/m680x0/fpu/s_sincosf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_sincosl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_tan.c: Reimplement to use
s_tan_template.c.
* sysdeps/m68k/m680x0/fpu/s_tanf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_tanl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_tanh.c: Reimplement to use
s_tanh_template.c.
* sysdeps/m68k/m680x0/fpu/s_tanhf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_tanhl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_trunc.c: Reimplement to use
s_trunc_template.c.
* sysdeps/m68k/m680x0/fpu/s_truncf.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_truncl.c: Likewise.
* sysdeps/m68k/m680x0/fpu/s_significand.c: Reimplement based on
s_atan.c instead of including s_atan.c.
* sysdeps/m68k/m680x0/fpu/s_significandf.c: Reimplement based on
s_atanf.c instead of including s_atanf.c.
* sysdeps/m68k/m680x0/fpu/s_significandl.c: Reimplement based on
s_atanl.c instead of including s_atanl.c.
* sysdeps/m68k/m680x0/fpu/s_log1p.c: Include s_significand.c
instead of s_atan.c.
* sysdeps/m68k/m680x0/fpu/s_log1pf.c: Include s_significandf.c
instead of s_atanf.c.
* sysdeps/m68k/m680x0/fpu/s_log1pl.c: Include s_significandl.c
instead of s_atanl.c.
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Most m68k libm functions share code via sources for one function
including those for another function or type, in a way that will
require significant changes to create function aliases in a way
friendly to adding _FloatN / _FloatNx aliases.
The llrint function implementations, however, use a conventional
separate implementation for each floating-point type. Thus preparing
them for _FloatN / _FloatNx aliases is just a matter of changing them
to include the appropriate headers and use the appropriate macros,
which this patch does. The llrintl changes aren't strictly required,
since m68k long double does not meet the criteria for a _FloatN /
_FloatNx type, but are included anyway to keep consistency between the
implementations for the three types.
Tested with build-many-glibcs.py that installed stripped shared
libraries for m68k-linux-gnu are unchanged by the patch.
* sysdeps/m68k/m680x0/fpu/s_llrint.c: Include
<libm-alias-double.h>.
(llrint): Define using libm_alias_double.
* sysdeps/m68k/m680x0/fpu/s_llrintf.c: Include
<libm-alias-float.h>.
(llrintf): Define using libm_alias_float.
* sysdeps/m68k/m680x0/fpu/s_llrintl.c: Include
<libm-alias-ldouble.h>.
(llrintl): Define using libm_alias_ldouble.
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Some m68k libm functions have their own templates replacing the
generic math/ ones but using the type-generic template machinery.
These currently define function aliases directly using weak_alias. In
preparation for additional _FloatN / _FloatNx function aliases, this
patch changes them to use declare_mgen_alias for creating aliases
instead.
Tested with build-many-glibcs.py that installed stripped shared
libraries for m68k-linux-gnu are unchanged by the patch.
* sysdeps/m68k/m680x0/fpu/s_ccosh_template.c (ccosh): Use
declare_mgen_alias instead of weak_alias.
* sysdeps/m68k/m680x0/fpu/s_cexp_template.c (cexp): Likewise.
* sysdeps/m68k/m680x0/fpu/s_csin_template.c (csin): Likewise.
* sysdeps/m68k/m680x0/fpu/s_csinh_template.c (csinh): Likewise.
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The new generic logf, log2f and powf code don't need wrappers any more,
they set errno inline so only use the wrappers on targets that need it.
* sysdeps/ieee754/flt-32/e_log2f.c (__log2f): Define without wrapper.
* sysdeps/ieee754/flt-32/e_logf.c (__logf): Likewise
* sysdeps/ieee754/flt-32/e_powf.c (__powf): Likewise
* sysdeps/ieee754/flt-32/w_log2f.c: New file.
* sysdeps/ieee754/flt-32/w_logf.c: New file.
* sysdeps/ieee754/flt-32/w_powf.c: New file.
* sysdeps/i386/fpu/w_log2f.c: New file.
* sysdeps/i386/fpu/w_logf.c: New file.
* sysdeps/i386/fpu/w_powf.c: New file.
* sysdeps/m68k/m680x0/fpu/w_log2f.c: New file.
* sysdeps/m68k/m680x0/fpu/w_logf.c: New file.
* sysdeps/m68k/m680x0/fpu/w_powf.c: New file.
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The new generic expf and exp2f code don't need wrappers any more, they
set errno inline, so only use the wrappers on targets that need it.
(If the wrapper is needed, then the top level wrapper code is included,
otherwise empty w_exp*f.c is used to suppress the wrapper.)
A powerpc64 expf implementation includes the expf c code directly which
needed some changes.
* sysdeps/ieee754/flt-32/e_exp2f.c (__exp2f): Define without wrapper.
* sysdeps/ieee754/flt-32/e_expf.c (__expf): Likewise
* sysdeps/ieee754/flt-32/w_exp2f.c: New file.
* sysdeps/ieee754/flt-32/w_expf.c: New file.
* sysdeps/powerpc/powerpc64/fpu/multiarch/e_expf-ppc64.c: Update for
the new expf code.
* sysdeps/powerpc/powerpc64/fpu/multiarch/w_expf.c: New file.
* sysdeps/powerpc/powerpc64/power8/fpu/w_expf.c: New file.
* sysdeps/m68k/m680x0/fpu/w_exp2f.c: New file.
* sysdeps/m68k/m680x0/fpu/w_expf.c: New file.
* sysdeps/i386/fpu/w_exp2f.c: New file.
* sysdeps/i386/fpu/w_expf.c: New file.
* sysdeps/i386/i686/fpu/multiarch/w_expf.c: New file.
* sysdeps/x86_64/fpu/w_expf.c: New file.
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without wrapper on aarch64:
powf reciprocal-throughput: 4.2x faster
powf latency: 2.6x faster
old worst-case error: 1.11 ulp
new worst-case error: 0.82 ulp
aarch64 .text size: -780 bytes
aarch64 .rodata size: +144 bytes
powf(x,y) is implemented as exp2(y*log2(x)) with the same algorithms
that are used in exp2f and log2f, except that the log2f polynomial is
larger for extra precision and its output (and exp2f input) may be
scaled by a power of 2 (POWF_SCALE) to simplify the argument reduction
step of exp2 (possible when efficient round and convert toint operation
is available).
The special case handling tries to minimize the checks in the hot path.
When the input of exp2_inline is checked, int arithmetics is used as
that was faster on the tested aarch64 cores.
* math/Makefile (type-float-routines): Add e_powf_log2_data.
* sysdeps/ieee754/flt-32/e_powf.c: New implementation.
* sysdeps/ieee754/flt-32/e_powf_log2_data.c: New file.
* sysdeps/ieee754/flt-32/math_config.h (__powf_log2_data): Define.
(issignalingf_inline): Likewise.
(POWF_LOG2_TABLE_BITS): Likewise.
(POWF_LOG2_POLY_ORDER): Likewise.
(POWF_SCALE_BITS): Likewise.
(POWF_SCALE): Likewise.
* sysdeps/i386/fpu/e_powf_log2_data.c: New file.
* sysdeps/ia64/fpu/e_powf_log2_data.c: New file.
* sysdeps/m68k/m680x0/fpu/e_powf_log2_data.c: New file.
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Similar to the new logf: double precision arithmetics and a small
lookup table is used. The argument reduction step is the same as in
the new logf.
without wrapper on aarch64:
log2f reciprocal-throughput: 2.3x faster
log2f latency: 2.1x faster
old worst case error: 1.72 ulp
new worst case error: 0.75 ulp
aarch64 .text size: -252 bytes
aarch64 .rodata size: +244 bytes
* math/Makefile (type-float-routines): Add e_log2f_data.
* sysdeps/ieee754/flt-32/e_log2f.c: New implementation.
* sysdeps/ieee754/flt-32/e_log2f_data.c: New file.
* sysdeps/ieee754/flt-32/math_config.h (__log2f_data): Define.
(LOG2F_TABLE_BITS, LOG2F_POLY_ORDER): Define.
* sysdeps/i386/fpu/e_log2f_data.c: New file.
* sysdeps/ia64/fpu/e_log2f_data.c: New file.
* sysdeps/m68k/m680x0/fpu/e_log2f_data.c: New file.
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without wrapper on aarch64:
logf reciprocal-throughput: 2.2x faster
logf latency: 1.9x faster
old worst case error: 0.89 ulp
new worst case error: 0.82 ulp
aarch64 .text size: -356 bytes
aarch64 .rodata size: +240 bytes
Uses double precision arithmetics and a lookup table to allow smaller
polynomial and avoid the use of division.
Data is in a separate translation unit with fixed layout to prevent the
compiler generating suboptimal literal access.
Errors are handled inline according to POSIX rules, but this patch
keeps the wrapper with SVID compatible error handling.
Needs libm-test-ulps adjustment for clogf in non-nearest rounding mode.
* math/Makefile (type-float-routines): Add e_logf_data.
* sysdeps/ieee754/flt-32/e_logf.c: New implementation.
* sysdeps/ieee754/flt-32/e_logf_data.c: New file.
* sysdeps/ieee754/flt-32/math_config.h (__logf_data): Define.
(LOGF_TABLE_BITS, LOGF_POLY_ORDER): Define.
* sysdeps/i386/fpu/e_logf_data.c: New file.
* sysdeps/ia64/fpu/e_logf_data.c: New file.
* sysdeps/m68k/m680x0/fpu/e_logf_data.c: New file.
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Remove __signbit inlines from mathinline.h. Math.h already uses
the builtin when supported, so additional inlines are only used
on pre 4.0 GCCs. Similarly remove ancient copysign and fabs
inlines.
* sysdeps/alpha/fpu/bits/mathinline.h: Delete file.
* sysdeps/ia64/fpu/bits/mathinline.h: Delete file.
* sysdeps/m68k/coldfire/fpu/bits/mathinline.h: Delete file.
* sysdeps/m68k/m680x0/fpu/bits/mathinline.h: (__signbitf): Remove.
(__signbit): Remove.
(__signbitl): Remove.
* sysdeps/powerpc/bits/mathinline.h (__signbitf): Remove.
(__signbit): Remove.
(__signbitl): Remove.
* sysdeps/s390/fpu/bits/mathinline.h: (__signbitf): Remove.
(__signbit): Remove.
(__signbitl): Remove
* sysdeps/sparc/fpu/bits/mathinline.h (__signbitf): Remove.
(__signbit): Remove.
(__signbitl): Remove.
* sysdeps/tile/bits/mathinline.h: Delete file.
* sysdeps/x86/fpu/bits/mathinline.h (__signbitf): Remove.
(__signbit): Remove.
(__signbitl): Remove.
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Simplify the C99 isgreater macros. Although some support was added
in GCC 2.97, not all targets added support until GCC 3.1. Therefore
only use the builtins in math.h from GCC 3.1 onwards, and defer to
generic macros otherwise. Improve the generic isunordered macro
to use compares rather than call fpclassify twice - this is not only
faster but also correct for signaling NaNs.
* math/math.h: Improve handling of C99 isgreater macros.
* sysdeps/alpha/fpu/bits/mathinline.h: Remove isgreater macros.
* sysdeps/m68k/m680x0/fpu/bits/mathinline.h: Likewise.
* sysdeps/powerpc/bits/mathinline.h: Likewise.
* sysdeps/sparc/fpu/bits/mathinline.h: Likewise.
* sysdeps/x86/fpu/bits/mathinline.h: Likewise.
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Based on new expf and exp2f code from
https://github.com/ARM-software/optimized-routines/
with wrapper on aarch64:
expf reciprocal-throughput: 2.3x faster
expf latency: 1.7x faster
without wrapper on aarch64:
expf reciprocal-throughput: 3.3x faster
expf latency: 1.7x faster
without wrapper on aarch64:
exp2f reciprocal-throughput: 2.8x faster
exp2f latency: 1.3x faster
libm.so size on aarch64:
.text size: -152 bytes
.rodata size: -1740 bytes
expf/exp2f worst case nearest rounding error: 0.502 ulp
worst case non-nearest rounding error: 1 ulp
Error checks are inline and errno setting is in separate tail called
functions, but the wrappers are kept in this patch to handle the
_LIB_VERSION==_SVID_ case. (So e.g. errno is set twice for expf calls
and once for __expf_finite calls on targets where the new code is used.)
Double precision arithmetics is used which is expected to be faster on
most targets (including soft-float) than using single precision and it
is easier to get good precision result with it.
Const data is kept in a separate translation unit which complicates
maintenance a bit, but is expected to give good code for literal loads
on most targets and allows sharing data across expf, exp2f and powf.
(This data is disabled on i386, m68k and ia64 which have their own
expf, exp2f and powf code.)
Some details may need target specific tweaks:
- best convert and round to int operation in the arg reduction may be
different across targets.
- code was optimized on fma target, optimal polynomial eval may be
different without fma.
- gcc does not always generate good code for fp bit representation
access via unions or it may be inherently slow on some targets.
The libm-test-ulps will need adjustment because..
- The argument reduction ideally uses nearest rounded rint, but that is
not efficient on most targets, so the polynomial can get evaluated on a
wider interval in non-nearest rounding mode making 1 ulp errors common
in that case.
- The polynomial is evaluated such that it may have 1 ulp error on
negative tiny inputs with upward rounding.
* math/Makefile (type-float-routines): Add math_errf and e_exp2f_data.
* sysdeps/aarch64/fpu/math_private.h (TOINT_INTRINSICS): Define.
(roundtoint, converttoint): Likewise.
* sysdeps/ieee754/flt-32/e_expf.c: New implementation.
* sysdeps/ieee754/flt-32/e_exp2f.c: New implementation.
* sysdeps/ieee754/flt-32/e_exp2f_data.c: New file.
* sysdeps/ieee754/flt-32/math_config.h: New file.
* sysdeps/ieee754/flt-32/math_errf.c: New file.
* sysdeps/ieee754/flt-32/t_exp2f.h: Remove.
* sysdeps/i386/fpu/e_exp2f_data.c: New file.
* sysdeps/i386/fpu/math_errf.c: New file.
* sysdeps/ia64/fpu/e_exp2f_data.c: New file.
* sysdeps/ia64/fpu/math_errf.c: New file.
* sysdeps/m68k/m680x0/fpu/e_exp2f_data.c: New file.
* sysdeps/m68k/m680x0/fpu/math_errf.c: New file.
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There are various bits/huge_val*.h headers to define HUGE_VAL and
related macros. All of them use __builtin_huge_val etc. for GCC 3.3
and later. Then there are various fallbacks, such as using a large
hex float constant for GCC 2.96 and later, or using unions (with or
without compound literals) to construct the bytes of an infinity, with
this last being the reason for having architecture-specific files.
Supporting TS 18661-3 _FloatN / _FloatNx types that have the same
format as other supported types will mean adding more such macros;
needing to add more headers for them doesn't seem very desirable.
The fallbacks based on bytes of the representation of an infinity do
not meet the standard requirements for a constant expression. At
least one of them is also wrong: sysdeps/sh/bits/huge_val.h is
producing a mixed-endian representation which does not match what GCC
does.
This patch eliminates all those headers, defining the macros directly
in math.h. For GCC 3.3 and later, the built-in functions are used as
now. For other compilers, a large constant 1e10000 (with appropriate
suffix) is used. This is like the fallback for GCC 2.96 and later,
but without using hex floats (which have no apparent advantage here).
It is unambiguously valid standard C for all floating-point formats
with infinities, which covers all formats supported by glibc or likely
to be supported by glibc in future (C90 DR#025 said that if a
floating-point format represents infinities, all real values lie
within the range of representable values, so the constraints for
constant expressions are not violated), but may generate compiler
warnings and wouldn't handle the TS 18661-1 FENV_ROUND pragma
correctly. If someone is actually using a compiler with glibc that
does not claim to be GCC 3.3 or later, but which has a better way to
define the HUGE_VAL macros, we can always add compiler conditionals in
with alternative definitions.
I intend to make similar changes for INF and NAN. The SNAN macros
already just use __builtin_nans etc. with no fallback for compilers
not claiming to be GCC 3.3 or later.
Tested for x86_64.
* math/math.h: Do not include bits/huge_val.h, bits/huge_valf.h,
bits/huge_vall.h or bits/huge_val_flt128.h.
(HUGE_VAL): Define directly here.
[__USE_ISOC99] (HUGE_VALF): Likewise.
[__USE_ISOC99] (HUGE_VALL): Likewise.
[__HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)]
(HUGE_VAL_F128): Likewise.
* math/Makefile (headers): Remove bits/huge_val.h,
bits/huge_valf.h, bits/huge_vall.h and bits/huge_val_flt128.h.
* bits/huge_val.h: Remove.
* bits/huge_val_flt128.h: Likewise.
* bits/huge_valf.h: Likewise.
* bits/huge_vall.h: Likewise.
* sysdeps/ia64/bits/huge_vall.h: Likewise.
* sysdeps/ieee754/bits/huge_val.h: Likewise.
* sysdeps/ieee754/bits/huge_valf.h: Likewise.
* sysdeps/m68k/m680x0/bits/huge_vall.h: Likewise.
* sysdeps/sh/bits/huge_val.h: Likewise.
* sysdeps/sparc/bits/huge_vall.h: Likewise.
* sysdeps/x86/bits/huge_vall.h: Likewise.
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As shown by build bot failures
<https://sourceware.org/ml/libc-testresults/2017-q3/msg00349.html> the
m68k bits/mathinline.h is not namespace-clean: it fails to compile if
the user has defined macros f or l before it is included, because of
expansions of those arguments to __inline_functions. This patch
changes the __inline_functions definitions to take not the suffix but
a macro that concatenates it with the function name, to avoid the
spurious macro expansions.
Tested for m68k with build-many-glibcs.py.
[BZ #22035]
* sysdeps/m68k/m680x0/fpu/bits/mathinline.h (__inline_functions):
Define to take a second argument that is a macro that
concatentates a suffix, not the suffix itself.
(__CONCAT_d): New macro.
(__CONCAT_f): Likewise.
(__CONCAT_l): Likewise.
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This patch changes libm code to make consistent use of C99 uintN_t
types instead of sometimes using those and sometimes using the older
nonstandard u_intN_t names. This makes sense as a cleanup in its own
right, and also facilitates merges to GCC's libquadmath (which gets
the types from stdint.h and so may not have u_intN_t available at
all).
Tested for x86_64, and with build-many-glibcs.py.
* math/s_nextafter.c (__nextafter): Use uintN_t instead of
u_intN_t.
* math/s_nexttowardf.c (__nexttowardf): Likewise.
* sysdeps/generic/math_private.h (ieee_double_shape_type):
Likewise.
(ieee_float_shape_type): Likewise.
* sysdeps/i386/fpu/s_fpclassifyl.c (__fpclassifyl): Likewise.
* sysdeps/i386/fpu/s_isnanl.c (__isnanl): Likewise.
* sysdeps/i386/fpu/s_nextafterl.c (__nextafterl): Likewise.
* sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise.
* sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise.
* sysdeps/ieee754/dbl-64/e_acosh.c (__ieee754_acosh): Likewise.
* sysdeps/ieee754/dbl-64/e_cosh.c (__ieee754_cosh): Likewise.
* sysdeps/ieee754/dbl-64/e_fmod.c (__ieee754_fmod): Likewise.
* sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r):
Likewise.
* sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Likewise.
* sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise.
(__ieee754_yn): Likewise.
* sysdeps/ieee754/dbl-64/e_log10.c (__ieee754_log10): Likewise.
* sysdeps/ieee754/dbl-64/e_log2.c (__ieee754_log2): Likewise.
* sysdeps/ieee754/dbl-64/e_rem_pio2.c (__ieee754_rem_pio2):
Likewise.
* sysdeps/ieee754/dbl-64/e_sinh.c (__ieee754_sinh): Likewise.
* sysdeps/ieee754/dbl-64/s_ceil.c (__ceil): Likewise.
* sysdeps/ieee754/dbl-64/s_copysign.c (__copysign): Likewise.
* sysdeps/ieee754/dbl-64/s_erf.c (__erf): Likewise.
(__erfc): Likewise.
* sysdeps/ieee754/dbl-64/s_expm1.c (__expm1): Likewise.
* sysdeps/ieee754/dbl-64/s_finite.c (FINITE): Likewise.
* sysdeps/ieee754/dbl-64/s_floor.c (__floor): Likewise.
* sysdeps/ieee754/dbl-64/s_fpclassify.c (__fpclassify): Likewise.
* sysdeps/ieee754/dbl-64/s_isnan.c (__isnan): Likewise.
* sysdeps/ieee754/dbl-64/s_issignaling.c (__issignaling):
Likewise.
* sysdeps/ieee754/dbl-64/s_llrint.c (__llrint): Likewise.
* sysdeps/ieee754/dbl-64/s_llround.c (__llround): Likewise.
* sysdeps/ieee754/dbl-64/s_lrint.c (__lrint): Likewise.
* sysdeps/ieee754/dbl-64/s_lround.c (__lround): Likewise.
* sysdeps/ieee754/dbl-64/s_modf.c (__modf): Likewise.
* sysdeps/ieee754/dbl-64/s_nextup.c (__nextup): Likewise.
* sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Likewise.
* sysdeps/ieee754/dbl-64/s_round.c (__round): Likewise.
* sysdeps/ieee754/dbl-64/s_trunc.c (__trunc): Likewise.
* sysdeps/ieee754/dbl-64/wordsize-64/s_issignaling.c
(__issignaling): Likewise.
* sysdeps/ieee754/flt-32/e_atan2f.c (__ieee754_atan2f): Likewise.
* sysdeps/ieee754/flt-32/e_fmodf.c (__ieee754_fmodf): Likewise.
* sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r):
Likewise.
* sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_ynf): Likewise.
* sysdeps/ieee754/flt-32/e_log10f.c (__ieee754_log10f): Likewise.
* sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Likewise.
* sysdeps/ieee754/flt-32/e_rem_pio2f.c (__ieee754_rem_pio2f):
Likewise.
* sysdeps/ieee754/flt-32/e_remainderf.c (__ieee754_remainderf):
Likewise.
* sysdeps/ieee754/flt-32/e_sqrtf.c (__ieee754_sqrtf): Likewise.
* sysdeps/ieee754/flt-32/s_ceilf.c (__ceilf): Likewise.
* sysdeps/ieee754/flt-32/s_copysignf.c (__copysignf): Likewise.
* sysdeps/ieee754/flt-32/s_erff.c (__erff): Likewise.
(__erfcf): Likewise.
* sysdeps/ieee754/flt-32/s_expm1f.c (__expm1f): Likewise.
* sysdeps/ieee754/flt-32/s_finitef.c (FINITEF): Likewise.
* sysdeps/ieee754/flt-32/s_floorf.c (__floorf): Likewise.
* sysdeps/ieee754/flt-32/s_fpclassifyf.c (__fpclassifyf):
Likewise.
* sysdeps/ieee754/flt-32/s_isnanf.c (__isnanf): Likewise.
* sysdeps/ieee754/flt-32/s_issignalingf.c (__issignalingf):
Likewise.
* sysdeps/ieee754/flt-32/s_llrintf.c (__llrintf): Likewise.
* sysdeps/ieee754/flt-32/s_llroundf.c (__llroundf): Likewise.
* sysdeps/ieee754/flt-32/s_lrintf.c (__lrintf): Likewise.
* sysdeps/ieee754/flt-32/s_lroundf.c (__lroundf): Likewise.
* sysdeps/ieee754/flt-32/s_modff.c (__modff): Likewise.
* sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise.
* sysdeps/ieee754/flt-32/s_roundf.c (__roundf): Likewise.
* sysdeps/ieee754/ldbl-128/e_acoshl.c (__ieee754_acoshl):
Likewise.
* sysdeps/ieee754/ldbl-128/e_atan2l.c (__ieee754_atan2l):
Likewise.
* sysdeps/ieee754/ldbl-128/e_atanhl.c (__ieee754_atanhl):
Likewise.
* sysdeps/ieee754/ldbl-128/e_fmodl.c (__ieee754_fmodl): Likewise.
* sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r):
Likewise.
* sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl):
Likewise.
* sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise.
(__ieee754_ynl): Likewise.
* sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise.
* sysdeps/ieee754/ldbl-128/e_rem_pio2l.c (__ieee754_rem_pio2l):
Likewise.
* sysdeps/ieee754/ldbl-128/e_remainderl.c (__ieee754_remainderl):
Likewise.
* sysdeps/ieee754/ldbl-128/e_sinhl.c (__ieee754_sinhl): Likewise.
* sysdeps/ieee754/ldbl-128/k_cosl.c (__kernel_cosl): Likewise.
* sysdeps/ieee754/ldbl-128/k_sincosl.c (__kernel_sincosl):
Likewise.
* sysdeps/ieee754/ldbl-128/k_sinl.c (__kernel_sinl): Likewise.
* sysdeps/ieee754/ldbl-128/s_ceill.c (__ceill): Likewise.
* sysdeps/ieee754/ldbl-128/s_copysignl.c (__copysignl): Likewise.
* sysdeps/ieee754/ldbl-128/s_erfl.c (__erfcl): Likewise.
* sysdeps/ieee754/ldbl-128/s_fabsl.c (__fabsl): Likewise.
* sysdeps/ieee754/ldbl-128/s_finitel.c (__finitel): Likewise.
* sysdeps/ieee754/ldbl-128/s_floorl.c (__floorl): Likewise.
* sysdeps/ieee754/ldbl-128/s_fpclassifyl.c (__fpclassifyl):
Likewise.
* sysdeps/ieee754/ldbl-128/s_frexpl.c (__frexpl): Likewise.
* sysdeps/ieee754/ldbl-128/s_isnanl.c (__isnanl): Likewise.
* sysdeps/ieee754/ldbl-128/s_issignalingl.c (__issignalingl):
Likewise.
* sysdeps/ieee754/ldbl-128/s_llrintl.c (__llrintl): Likewise.
* sysdeps/ieee754/ldbl-128/s_llroundl.c (__llroundl): Likewise.
* sysdeps/ieee754/ldbl-128/s_lrintl.c (__lrintl): Likewise.
* sysdeps/ieee754/ldbl-128/s_lroundl.c (__lroundl): Likewise.
* sysdeps/ieee754/ldbl-128/s_modfl.c (__modfl): Likewise.
* sysdeps/ieee754/ldbl-128/s_nearbyintl.c (__nearbyintl):
Likewise.
* sysdeps/ieee754/ldbl-128/s_nextafterl.c (__nextafterl):
Likewise.
* sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward):
Likewise.
* sysdeps/ieee754/ldbl-128/s_nexttowardf.c (__nexttowardf):
Likewise.
* sysdeps/ieee754/ldbl-128/s_nextupl.c (__nextupl): Likewise.
* sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise.
* sysdeps/ieee754/ldbl-128/s_rintl.c (__rintl): Likewise.
* sysdeps/ieee754/ldbl-128/s_roundl.c (__roundl): Likewise.
* sysdeps/ieee754/ldbl-128/s_tanhl.c (__tanhl): Likewise.
* sysdeps/ieee754/ldbl-128/s_truncl.c (__truncl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_fmodl.c (__ieee754_fmodl):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_rem_pio2l.c (__ieee754_rem_pio2l):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_remainderl.c
(__ieee754_remainderl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/k_cosl.c (__kernel_cosl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/k_sinl.c (__kernel_sinl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_fabsl.c (__fabsl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c (___fpclassifyl):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_modfl.c (__modfl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise.
* sysdeps/ieee754/ldbl-96/e_acoshl.c (__ieee754_acoshl): Likewise.
* sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise.
* sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Likewise.
* sysdeps/ieee754/ldbl-96/e_coshl.c (__ieee754_coshl): Likewise.
* sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r):
Likewise.
* sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise.
* sysdeps/ieee754/ldbl-96/e_j0l.c (__ieee754_j0l): Likewise.
(__ieee754_y0l): Likewise.
(pzero): Likewise.
(qzero): Likewise.
* sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Likewise.
(__ieee754_y1l): Likewise.
(pone): Likewise.
(qone): Likewise.
* sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise.
(__ieee754_ynl): Likewise.
* sysdeps/ieee754/ldbl-96/e_lgammal_r.c (sin_pi): Likewise.
(__ieee754_lgammal_r): Likewise.
* sysdeps/ieee754/ldbl-96/e_rem_pio2l.c (__ieee754_rem_pio2l):
Likewise.
* sysdeps/ieee754/ldbl-96/e_sinhl.c (__ieee754_sinhl): Likewise.
* sysdeps/ieee754/ldbl-96/s_copysignl.c (__copysignl): Likewise.
* sysdeps/ieee754/ldbl-96/s_erfl.c (__erfl): Likewise.
(__erfcl): Likewise.
* sysdeps/ieee754/ldbl-96/s_frexpl.c (__frexpl): Likewise.
* sysdeps/ieee754/ldbl-96/s_issignalingl.c (__issignalingl):
Likewise.
* sysdeps/ieee754/ldbl-96/s_llrintl.c (__llrintl): Likewise.
* sysdeps/ieee754/ldbl-96/s_llroundl.c (__llroundl): Likewise.
* sysdeps/ieee754/ldbl-96/s_lrintl.c (__lrintl): Likewise.
* sysdeps/ieee754/ldbl-96/s_lroundl.c (__lroundl): Likewise.
* sysdeps/ieee754/ldbl-96/s_modfl.c (__modfl): Likewise.
* sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Likewise.
* sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf):
Likewise.
* sysdeps/ieee754/ldbl-96/s_nextupl.c (__nextupl): Likewise.
* sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise.
* sysdeps/ieee754/ldbl-96/s_roundl.c (__roundl): Likewise.
* sysdeps/ieee754/ldbl-96/s_tanhl.c (__tanhl): Likewise.
* sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf):
Likewise.
* sysdeps/m68k/m680x0/fpu/e_pow.c (s(__ieee754_pow)): Likewise.
* sysdeps/m68k/m680x0/fpu/s_fpclassifyl.c (__fpclassifyl):
Likewise.
* sysdeps/m68k/m680x0/fpu/s_llrint.c (__llrint): Likewise.
* sysdeps/m68k/m680x0/fpu/s_llrintf.c (__llrintf): Likewise.
* sysdeps/m68k/m680x0/fpu/s_llrintl.c (__llrintl): Likewise.
* sysdeps/m68k/m680x0/fpu/s_nextafterl.c (__nextafterl): Likewise.
* sysdeps/x86/fpu/powl_helper.c (__powl_helper): Likewise.
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