| Commit message (Collapse) | Author | Age | Files | Lines |
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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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A few math functions still use __fabs(f/l) rather than fabs, which
means they won't be inlined. Rename them so they are inlined.
Also add -fno-builtin-fabsl to nofpu powerpc makefile to work around
BZ #29253.
* sysdeps/ieee754/dbl-64/e_lgamma_r.c
(__ieee754_lgamma_r): Use fabs rather than __fabs.
* sysdeps/ieee754/dbl-64/e_log10.c (__ieee754_log10): Likewise.
* sysdeps/ieee754/dbl-64/e_log2.c (__ieee754_log2): Likewise.
* sysdeps/ieee754/flt-32/e_lgammaf_r.c
(__ieee754_lgammaf_r): Use fabsf rather than __fabsf.
* sysdeps/ieee754/flt-32/e_log10f.c (__ieee754_log10f): Likewise.
* sysdeps/ieee754/flt-32/e_log2f.c (__ieee754_log2f): Likewise.
* sysdeps/ieee754/ldbl-128/e_lgammal_r.c
(__ieee754_lgammal_r): Use fabsl rather than __fabsl.
* sysdeps/ieee754/ldbl-128/e_log10l.c (__ieee754_log10l): Likewise.
* sysdeps/ieee754/ldbl-128/e_log2l.c (__ieee754_log2l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_lgammal_r.c
(__ieee754_lgammal_r): Use fabsl rather than __fabsl.
* sysdeps/ieee754/ldbl-128ibm/e_log10l.c (__ieee754_log10l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_log2l.c (__ieee754_log2l): Likewise.
* sysdeps/powerpc/nofpu/Makefile: Add -fno-builtin-fabsl for BZ #29253.
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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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lgamma(-x) should return +Inf and raise divide-by-zero.
log10(+-0) and log2(+-0) should return -Inf and raise divide-by-zero.
Tested on powerpc, powerpc64, powerpc64le and x86_64.
[BZ #21171]
* sysdeps/ieee754/dbl-64/e_lgamma_r.c (__ieee754_lgamma_r): Return
+Inf and raise divide-by-zero when x is negative.
* sysdeps/ieee754/flt-32/e_lgammaf_r.c (__ieee754_lgammaf_r): Likewise.
* sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Likewise.
* sysdeps/ieee754/dbl-64/e_log10.c (__ieee754_log10): Return
-Inf and raise divide-by-zero when x = +-0.
* sysdeps/ieee754/dbl-64/e_log2.c (__ieee754_log2): Likewise.
* sysdeps/ieee754/flt-32/e_log10f.c (__ieee754_log10f): Likewise.
* sysdeps/ieee754/flt-32/e_log2f.c (__ieee754_log2f): Likewise.
* sysdeps/ieee754/ldbl-128/e_log10l.c (__ieee754_log10l): Likewise.
* sysdeps/ieee754/ldbl-128/e_log2l.c (__ieee754_log2l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_log10l.c (__ieee754_log10l): Likewise.
* sysdeps/ieee754/ldbl-128ibm/e_log2l.c (__ieee754_log2l): Likewise.
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19050).
On powerpc32 hard-float, older processors (ones where fcfid is not
available for 32-bit code), GCC generates conversions from integers to
floating point that wrongly convert integer 0 to -0 instead of +0 in
FE_DOWNWARD mode. This in turn results in logb and a few other
functions wrongly returning -0 when they should return +0.
This patch works around this issue in glibc as I proposed in
<https://sourceware.org/ml/libc-alpha/2015-09/msg00728.html>, so that
the affected functions can be correct and the affected tests pass in
the absence of a GCC fix for this longstanding issue (GCC bug 67771 -
if fixed, of course we can put in GCC version conditionals, and
eventually phase out the workarounds). A new macro
FIX_INT_FP_CONVERT_ZERO is added in a new sysdeps header
fix-int-fp-convert-zero.h, and the powerpc32/fpu version of that
header defines the macro based on the results of a configure test for
whether such conversions use the fcfid instruction.
Tested for x86_64 (that installed stripped shared libraries are
unchanged by the patch) and powerpc (that HAVE_PPC_FCFID comes out to
0 as expected and that the relevant tests are fixed). Also tested a
build with GCC configured for -mcpu=power4 and verified that
HAVE_PPC_FCFID comes out to 1 in that case.
There are still some other issues to fix to get test-float and
test-double passing cleanly for older powerpc32 processors (apart from
the need for an ulps regeneration for powerpc). (test-ldouble will be
harder to get passing cleanly, but with a combination of selected
fixes to ldbl-128ibm code that don't involve significant performance
issues, allowing spurious underflow and inexact exceptions for that
format, and lots of XFAILing for the default case of unpatched libgcc,
it should be doable.)
[BZ #887]
[BZ #19049]
[BZ #19050]
* sysdeps/generic/fix-int-fp-convert-zero.h: New file.
* sysdeps/ieee754/dbl-64/e_log10.c: Include
<fix-int-fp-convert-zero.h>.
(__ieee754_log10): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/dbl-64/e_log2.c: Include
<fix-int-fp-convert-zero.h>.
(__ieee754_log2): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/dbl-64/s_erf.c: Include
<fix-int-fp-convert-zero.h>.
(__erfc): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/dbl-64/s_logb.c: Include
<fix-int-fp-convert-zero.h>.
(__logb): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/flt-32/e_log10f.c: Include
<fix-int-fp-convert-zero.h>.
(__ieee754_log10f): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/flt-32/e_log2f.c: Include
<fix-int-fp-convert-zero.h>.
(__ieee754_log2f): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/flt-32/s_erff.c: Include
<fix-int-fp-convert-zero.h>.
(__erfcf): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/flt-32/s_logbf.c: Include
<fix-int-fp-convert-zero.h>.
(__logbf): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/ldbl-128ibm/s_erfl.c: Include
<fix-int-fp-convert-zero.h>.
(__erfcl): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/ieee754/ldbl-128ibm/s_logbl.c: Include
<fix-int-fp-convert-zero.h>.
(__logbl): Adjust signs as needed if FIX_INT_FP_CONVERT_ZERO.
* sysdeps/powerpc/powerpc32/fpu/configure.ac: New file.
* sysdeps/powerpc/powerpc32/fpu/configure: New generated file.
* sysdeps/powerpc/powerpc32/fpu/fix-int-fp-convert-zero.h: New
file.
* config.h.in [_LIBC] (HAVE_PPC_FCFID): New macro.
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2015-09-18 Wilco Dijkstra <wdijkstr@arm.com>
* resolv/base64.c (rcsid): Remove unused static.
* sysdeps/ieee754/dbl-64/atnat2.h (qpi1): Remove unused
static. (tqpi1): Likewise.
* sysdeps/ieee754/dbl-64/uexp.h (one): Likewise.
* sysdeps/ieee754/dbl-64/upow.h (sqrt_2): Likewise.
* sysdeps/ieee754/flt-32/e_log10f.c (one): Likewise.
* sysdeps/ieee754/flt-32/s_cosf.c (one): Likewise.
* sysdeps/ieee754/ldbl-128/e_lgammal_r.c (zero): Likewise.
* sysdeps/ieee754/ldbl-128/s_erfl.c (half): Likewise.
* sysdeps/ieee754/ldbl-128/s_log1pl.c (maxlog): Likewise.
* timezone/private.h (time_t_min): Likewise. (time_t_max):
Likewise.
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Entire tree edited via find | grep | sed.
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libm is now somewhat integrated with gcc's -ffinite-math-only option
and lots of the wrapper functions have been optimized.
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