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908801933a
freebsd-dev/lib
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Bruce Evans 908801933a Fixed the hi+lo approximation to log(2). The normal 17+24 bit decomposition 
that was used doesn't work normally here, since we want to be able to
multiply `hi' by the exponent of x _exactly_, and the exponent of x has
more than 7 significant bits for most denormal x's, so the multiplication
was not always exact despite a cloned comment claiming that it was.  (The
comment is correct in the double precision case -- with the normal 33+53
bit decomposition the exponent can have 20 significant bits and the extra
bit for denormals is only the 11th.)

Fixing this had little or no effect for denormals (I think because
more precision is inherently lost for denormals than is lost by roundoff
errors in the multiplication).

The fix is to reduce the precision of the decomposition to 16+24 bits.
Due to 2 bugs in the old deomposition and numerical accidents, reducing
the precision actually increased the precision of hi+lo.  The old hi+lo
had about 39 bits instead of at least 41 like it should have had.
There were off-by-1-bit errors in each of hi and lo, apparently due
to mistranslation from the double precision hi and lo.  The correct
16 bit hi happens to give about 19 bits of precision, so the correct
hi+lo gives about 43 bits instead of at least 40.  The end result is
that expf() is now perfectly rounded (to nearest) except in 52561 cases
instead of except in 67027 cases, and the maximum error is 0.5013 ulps
instead of 0.5023 ulps.
2005-11-30 04:56:49 +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 Update conformance and history sections. 2005-11-30 04:15:44 +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 Fix prototype. 2005-11-24 10:32:39 +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 the hi+lo approximation to log(2). The normal 17+24 bit decomposition 2005-11-30 04:56:49 +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