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glibc/sysdeps/x86_64
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Paul Zimmermann 9acda61d94 Fix the inaccuracy of j0f/j1f/y0f/y1f [BZ #14469, #14470, #14471, #14472] 
For j0f/j1f/y0f/y1f, the largest error for all binary32
inputs is reduced to at most 9 ulps for all rounding modes.

The new code is enabled only when there is a cancellation at the very end of
the j0f/j1f/y0f/y1f computation, or for very large inputs, thus should not
give any visible slowdown on average.  Two different algorithms are used:

* around the first 64 zeros of j0/j1/y0/y1, approximation polynomials of
  degree 3 are used, computed using the Sollya tool (https://www.sollya.org/)

* for large inputs, an asymptotic formula from [1] is used

[1] Fast and Accurate Bessel Function Computation,
    John Harrison, Proceedings of Arith 19, 2009.

Inputs yielding the new largest errors are added to auto-libm-test-in,
and ulps are regenerated for various targets (thanks Adhemerval Zanella).

Tested on x86_64 with --disable-multi-arch and on powerpc64le-linux-gnu.
Reviewed-by: Adhemerval Zanella  <adhemerval.zanella@linaro.org>
2021-04-02 06:15:48 +02:00
..
64 Move architecture shlib-versions files to Linux-specific directories. 2014-07-17 14:31:12 +00:00
fpu Fix the inaccuracy of j0f/j1f/y0f/y1f [BZ #14469, #14470, #14471, #14472] 2021-04-02 06:15:48 +02:00
multiarch x86-64: Fix ifdef indentation in strlen-evex.S 2021-04-01 16:13:33 -07:00
nptl x86_64: Correct THREAD_SETMEM/THREAD_SETMEM_NC for movq [BZ #27591] 2021-04-01 07:00:22 -07:00
x32 Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
____longjmp_chk.S
__longjmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
_mcount.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
abort-instr.h
add_n.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
addmul_1.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
bsd-_setjmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
bsd-setjmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
bzero.S
configure configure: Check for static PIE support 2021-01-21 15:54:50 +00:00
configure.ac configure: Check for static PIE support 2021-01-21 15:54:50 +00:00
crti.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
crtn.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-hwcaps-subdirs.c <sys/platform/x86.h>: Remove the C preprocessor magic 2021-01-21 05:58:17 -08:00
dl-irel.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-machine.h x86: Check IFUNC definition in unrelocated executable [BZ #20019] 2021-01-04 12:01:01 -08:00
dl-procinfo.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-runtime.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-tls.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-tls.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-tlsdesc.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-tlsdesc.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-trampoline.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
dl-trampoline.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
ffs.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
ffsll.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
htonl.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
ifuncmain8.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
ifuncmod8.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
Implies Remove dbl-64/wordsize-64 (part 2) 2021-01-07 15:26:26 +00:00
isa.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
jmpbuf-offsets.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
jmpbuf-unwind.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
l10nflist.c
link-defines.sym Replace __int128 with __int128_t 2014-05-30 10:50:21 -07:00
locale-defines.sym
localplt.data ld.so: Do not export free/calloc/malloc/realloc functions [BZ #25486] 2020-02-15 11:01:23 +01:00
lshift.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
machine-gmon.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
Makefile x86_64: Correct THREAD_SETMEM/THREAD_SETMEM_NC for movq [BZ #27591] 2021-04-01 07:00:22 -07:00
memchr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memcmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memcpy_chk.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memcpy.S X86-64: Remove previous default/SSE2/AVX2 memcpy/memmove 2016-06-08 13:58:08 -07:00
memmove_chk.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memmove.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
mempcpy_chk.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
mempcpy.S X86-64: Remove previous default/SSE2/AVX2 memcpy/memmove 2016-06-08 13:58:08 -07:00
memrchr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memset_chk.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memset.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
memusage.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
mp_clz_tab.c
mul_1.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
preconfigure
preconfigure.ac
rawmemchr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
rshift.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
rtld-offsets.sym x86-64: Align the stack in __tls_get_addr [BZ #21609] 2017-07-06 04:43:20 -07:00
sched_cpucount.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
setjmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
stackguard-macros.h
stackinfo.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
start.S Reduce the statically linked startup code [BZ #23323] 2021-02-25 12:13:02 +01:00
stpcpy.S
strcasecmp_l-nonascii.c Use locale_t, not __locale_t, throughout glibc 2017-06-20 20:30:06 -04:00
strcasecmp_l.S
strcasecmp.S
strcat.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strchr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strchrnul.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strcmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strcpy.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strcspn.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strlen.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strncase_l-nonascii.c Use locale_t, not __locale_t, throughout glibc 2017-06-20 20:30:06 -04:00
strncase_l.S
strncase.S
strncmp.S
strnlen.S
strpbrk.S x86-64: Implement strcspn/strpbrk/strspn IFUNC selectors in C 2017-06-15 08:59:05 -07:00
strrchr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
strspn.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
sub_n.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
submul_1.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
sysdep.h x86-64: Add AVX optimized string/memory functions for RTM 2021-03-29 07:40:17 -07:00
tls_get_addr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tls-macros.h
tlsdesc.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tlsdesc.sym x86-64: Align the stack in __tls_get_addr [BZ #21609] 2017-07-06 04:43:20 -07:00
tst-audit3.c Modify several tests to use test-skeleton.c 2014-11-05 15:24:08 +05:30
tst-audit4-aux.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-audit4.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-audit5.c Modify several tests to use test-skeleton.c 2014-11-05 15:24:08 +05:30
tst-audit6.c Modify several tests to use test-skeleton.c 2015-07-15 15:10:23 +05:30
tst-audit7.c
tst-audit10-aux.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-audit10.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-audit.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-auditmod3a.c
tst-auditmod3b.c Add missing header files throughout the testsuite. 2017-02-16 17:33:18 -05:00
tst-auditmod4a.c
tst-auditmod4b.c Add missing header files throughout the testsuite. 2017-02-16 17:33:18 -05:00
tst-auditmod5a.c
tst-auditmod5b.c Add missing header files throughout the testsuite. 2017-02-16 17:33:18 -05:00
tst-auditmod6a.c
tst-auditmod6b.c Add missing header files throughout the testsuite. 2017-02-16 17:33:18 -05:00
tst-auditmod6c.c Add missing header files throughout the testsuite. 2017-02-16 17:33:18 -05:00
tst-auditmod7a.c
tst-auditmod7b.c Add missing header files throughout the testsuite. 2017-02-16 17:33:18 -05:00
tst-auditmod10a.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-auditmod10b.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-avx512-aux.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-avx512.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-avx512mod.c x86-64: Verify that _dl_runtime_resolve preserves vector registers 2017-02-09 12:19:58 -08:00
tst-avx-aux.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-avx.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-avxmod.c x86-64: Verify that _dl_runtime_resolve preserves vector registers 2017-02-09 12:19:58 -08:00
tst-glibc-hwcaps.c <sys/platform/x86.h>: Remove the C preprocessor magic 2021-01-21 05:58:17 -08:00
tst-mallocalign1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-platform-1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-platformmod-1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-platformmod-2.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-quad1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-quad1pie.c
tst-quad2.c
tst-quad2pie.c
tst-quadmod1.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-quadmod1pie.S
tst-quadmod2.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-quadmod2pie.S
tst-split-dynreloc.c Fix dynamic linker issue with bind-now 2015-08-19 05:37:01 -07:00
tst-split-dynreloc.lds Fix dynamic linker issue with bind-now 2015-08-19 05:37:01 -07:00
tst-sse.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-ssemod.c x86-64: Verify that _dl_runtime_resolve preserves vector registers 2017-02-09 12:19:58 -08:00
tst-stack-align.h Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-x86_64-1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-x86_64mod-1.c Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
tst-x86-64-tls-1.c x86_64: Correct THREAD_SETMEM/THREAD_SETMEM_NC for movq [BZ #27591] 2021-04-01 07:00:22 -07:00
Versions Move __fentry__ version definition to sysdeps/{i386,x86_64} 2018-08-10 09:07:44 +02:00
wcschr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
wcscmp.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
wcslen.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
wcsrchr.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
wmemset_chk.S Update copyright dates with scripts/update-copyrights 2021-01-02 12:17:34 -08:00
wmemset.S x86-64: Optimize wmemset with SSE2/AVX2/AVX512 2017-06-05 11:09:59 -07:00
wordcopy.c X86-64: Add dummy memcopy.h and wordcopy.c 2016-06-09 04:38:34 -07:00