freebsd-src/lib
Bruce Evans efff995f3b Use a 53-bit approximation to pi/2 instead of a 33+53 bit one for the
special case pi/4 <= |x| < 3*pi/4.  This gives a tiny optimization (it
saves 2 subtractions, which are scheduled well so they take a whole 1
cycle extra on an AthlonXP), and simplifies the code so that the
following optimization is not so ugly.

Optimize for the range 3*pi/4 < |x| < 9*Pi/2 in the same way.  On
Athlon{XP,64} systems, this gives a 25-40% optimization (depending a
lot on CFLAGS) for the cosf() and sinf() consumers on this range.
Relative to i387 hardware fcos and fsin, it makes the software versions
faster in most cases instead of slower in most cases.  The relative
optimization is smaller for tanf() the inefficient part is elsewhere.

The 53-bit approximation to pi/2 is good enough for pi/4 <= |x| <
3*pi/4 because after losing up to 24 bits to subtraction, we still
have 29 bits of precision and only need 25 bits.  Even with only 5
extra bits, it is possible to get perfectly rounded results starting
with the reduced x, since if x is nearly a multiple of pi/2 then x is
not near a half-way case and if x is not nearly a multiple of pi/2
then we don't lose many bits.  With our intentionally imperfect rounding
we get the same results for cosf(), sinf() and tanf() as without this
optimization.
2005-11-06 17:48:02 +00:00
..
bind Disable thread support in BIND. It appears to reduce performance rather 2005-07-25 14:44:11 +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 Fix installworld breakage. <sigh> 2005-10-14 16:32:50 +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 Document the fact that sendfile(2) can EOPNOTSUPP if the underlying 2005-10-31 04:08:28 +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 Merge two slice_type_name() functions. 2005-04-13 13:42:38 +00:00
libedit Add el_get to the NAME section. 2005-10-20 08:26:03 +00:00
libexpat Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libfetch Ignore HTTP_PROXY if it is defined but empty. This was already handled 2005-08-24 12:28:05 +00:00
libform
libftpio Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libgeom Check for NULL pointer return. 2005-05-24 10:10:38 +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 Include files thr_condattr_pshared.c and thr_mattr_pshare.c. 2005-10-24 05:48:32 +00:00
libkvm Fix a well duplicated fencepost error that stopped crashdumps being 2005-10-20 05:41:38 +00:00
libmagic Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libmd Correct type. 2005-09-14 10:42:51 +00:00
libmemstat The "Mbuf" zone was renamed "mbuf" to improve consistency, but the code 2005-08-15 10:24:20 +00:00
libmenu
libmilter NOINET6 -> NO_INET6 2004-12-21 10:49:29 +00:00
libmp Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libncp Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +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
libpcap bump SHLIB_MAJOR as libpcap refers getnetbyname(3). 2005-06-03 09:41:26 +00:00
libpmc Add COMPATIBILITY and HISTORY sections. 2005-07-21 06:44:54 +00:00
libpthread Include files thr_condattr_pshared.c and thr_mattr_pshare.c. 2005-10-24 05:48:32 +00:00
libradius Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
librpcsvc Fix the source path. 2005-06-04 10:48:21 +00:00
libsbuf
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 Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +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 Implement the full range of ISO9660 number conversion routines in iso.h. 2005-10-18 13:35:08 +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 Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +00:00
libutil When removing the local domain, only do so when the result will be a 2005-10-05 04:42:20 +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 Use a 53-bit approximation to pi/2 instead of a 33+53 bit one for the 2005-11-06 17:48:02 +00:00
ncurses Bump the shared library version number of all libraries that have not 2005-07-22 17:19:05 +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