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freebsd-src/lib
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Bruce Evans 6de073b4ef Fixed all 502518670 errors of more than 1 ulp for cbrtf() on amd64. 
The maximum error was 3.56 ulps.

The bug was another translation error.  The double precision version
has a comment saying "new cbrt to 23 bits, may be implemented in
precision".  This means exactly what it says -- that the 23 bit second
approximation for the double precision cbrt() may be implemented in
single (i.e., float) precision.  It doesn't mean what the translation
assumed -- that this approximation, when implemented in float precision,
is good enough for the the final approximation in float precision.
First, float precision needs a 24 bit approximation.  The "23 bit"
approximation is actually good to 24 bits on float precision args, but
only if it is evaluated in double precision.  Second, the algorithm
requires a cleanup step to ensure its error bound.

In float precision, any reasonable algorithm works for the cleanup
step.  Use the same algorithm as for double precision, although this
is much more than enough and is a significant pessimization, and don't
optimize or simplify anything using double precision to implement the
float case, so that the whole double precision algorithm can be verified
in float precision.  A maximum error of 0.667 ulps is claimed for cbrt()
and the max for cbrtf() using the same algorithm shouldn't be different,
but the actual max for cbrtf() on amd64 is now 0.9834 ulps.  (On i386
-O1 the max is 0.5006 (down from < 0.7) due to extra precision.)
2005-12-11 13:22:01 +00:00
..
bind Finish the removal of threads support in ../config.mk,v 1.15. 2005-11-07 15:22:35 +00:00
csu Fixed profiling of main() for amd64 and i386. This started rotting 2005-10-07 22:13:17 +00:00
libalias Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libarchive Portability: Remove AC_CHECK_MALLOC from configure.ac.in. 2005-11-27 03:16:46 +00:00
libatm Enforce style.Makefile(5). 2005-04-22 18:57:32 +00:00
libautofs Fix all the spelling mistakes I could find in the man pages for words 2005-07-31 03:30:48 +00:00
libbegemot Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libbluetooth Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libbsnmp Catch up with the import of bsnmp-1.11. Add a couple of new 2005-10-04 15:02:07 +00:00
libbz2 Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libc Fix markeup. 2005-12-06 09:52:54 +00:00
libc_r - Prefix MUTEX_TYPE_MAX with PTHREAD_ to avoid namespace pollution. 2005-08-19 21:31:42 +00:00
libcalendar Mechanically kill hard sentence breaks. 2004-07-02 23:52:20 +00:00
libcam Better memory handling: 2005-07-13 10:40:07 +00:00
libcom_err
libcompat Expand contractions. 2005-02-13 23:45:54 +00:00
libcrypt Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libdevinfo Add __BEGIN_DECLS/__END_DECLS so that this header can be included in C++ 2005-08-31 14:57:39 +00:00
libdevstat Remove an unused variable. 2005-10-04 22:00:35 +00:00
libdisk Fix prototypes. 2005-11-24 10:30:44 +00:00
libedit Merge NetBSD's revision 1.27. This bug can be observed eg. when browsing 2005-12-04 09:34:56 +00:00
libexpat Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libfetch Fix misspelling in Poul-Henning Kamp's email address under AUTHORS, from 2005-11-30 04:08:45 +00:00
libform Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libftpio Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libgeom Fix prototype. 2005-11-24 10:43:35 +00:00
libgpib Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libio Start the dreaded NOFOO -> NO_FOO conversion. 2004-12-21 08:47:35 +00:00
libipsec Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libipx Various markup and spelling fixes. 2004-12-29 02:18:24 +00:00
libkiconv - Fix checking range of strings of struct iconv_add_in in libsmb and libkiconv, 2005-08-24 12:38:26 +00:00
libkse o Include <sys/time.h> 2005-11-19 04:47:06 +00:00
libkvm Fix a well duplicated fencepost error that stopped crashdumps being 2005-10-20 05:41:38 +00:00
libmagic Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libmd -mdoc sweep. 2005-11-17 13:00:00 +00:00
libmemstat Tidy up markup and fix two bugs. 2005-11-21 17:18:34 +00:00
libmenu Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libmilter NOINET6 -> NO_INET6 2004-12-21 10:49:29 +00:00
libmp Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libncp Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libncurses Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libnetgraph Recognize all current standard node types. 2005-10-25 20:58:30 +00:00
libngatm Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libopie Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libpam Commenting out WARNS actually brought it up to 4. 2005-09-28 14:36:16 +00:00
libpanel Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libpcap bump SHLIB_MAJOR as libpcap refers getnetbyname(3). 2005-06-03 09:41:26 +00:00
libpmc Fix prototypes. 2005-11-24 10:54:47 +00:00
libpthread o Include <sys/time.h> 2005-11-19 04:47:06 +00:00
libradius Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
librpcsvc Fix the source path. 2005-06-04 10:48:21 +00:00
libsbuf style.Makefile(5) 2003-08-18 15:25:39 +00:00
libsdp Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libsm Add a new source file in sendmail 8.13.4 2005-06-07 04:18:25 +00:00
libsmb Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
libsmdb For variables that are only checked with defined(), don't provide 2004-10-24 15:33:08 +00:00
libsmutil For variables that are only checked with defined(), don't provide 2004-10-24 15:33:08 +00:00
libstand Fix prototypes. 2005-11-24 11:14:06 +00:00
libtacplus Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libtelnet NOCRYPT -> NO_CRYPT 2004-12-21 10:16:04 +00:00
libthr Fix name compatible problem with POSIX standard. the sigval_ptr and 2005-11-04 09:41:00 +00:00
libthread_db Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libufs minor style.Makefile(5) fixes: 2005-09-26 06:23:43 +00:00
libugidfw Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libusbhid Fix prototypes. 2005-11-24 11:26:36 +00:00
libutil Restore the previous state after a FILL operation in properties_read() 2005-11-28 16:30:16 +00:00
libvgl Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libwrap Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
liby Drop useless with NO_PIC SHLIB_MAJOR. 2005-07-20 14:35:26 +00:00
libypclnt Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libz Correct a buffer overflow which can occur when decompressing a 2005-07-27 08:41:17 +00:00
msun Fixed all 502518670 errors of more than 1 ulp for cbrtf() on amd64. 2005-12-11 13:22:01 +00:00
ncurses Add missing shared library interdependencies. 2005-11-10 18:07:07 +00:00
Makefile Disconnect libc_r from buildworld, it is still kept in the tree to 2005-10-27 03:09:20 +00:00
Makefile.inc Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00