musl/src/math/coshf.c, branch master musl - an implementation of the standard library for Linux-based systems math: fix sinh overflows in non-nearest rounding 2020年02月22日T04:42:12+00:00 Szabolcs Nagy nsz@port70.net 2020年01月20日T20:38:45+00:00 d20558148d8a2c52229b02668627697e83ca3840 The final rounding operation should be done with the correct sign otherwise huge results may incorrectly get rounded to or away from infinity in upward or downward rounding modes. This affected sinh and sinhf which set the sign on the result after a potentially overflowing mul. There may be other non-nearest rounding issues, but this was a known long standing issue with large ulp error (depending on how ulp is defined near infinity). The fix should have no effect on sinh and sinhf performance but may have a tiny effect on cosh and coshf. 
The final rounding operation should be done with the correct sign
otherwise huge results may incorrectly get rounded to or away from
infinity in upward or downward rounding modes.
This affected sinh and sinhf which set the sign on the result after
a potentially overflowing mul. There may be other non-nearest rounding
issues, but this was a known long standing issue with large ulp error
(depending on how ulp is defined near infinity).
The fix should have no effect on sinh and sinhf performance but may
have a tiny effect on cosh and coshf.
math: finished cosh.c cleanup 2012年12月16日T18:23:51+00:00 Szabolcs Nagy nsz@port70.net 2012年12月16日T18:23:51+00:00 1aec620f9366c29d761fe42b3e02bd8024685db3 changed the algorithm: large input is not special cased (when exp(-x) is small compared to exp(x)) and the threshold values are reevaluated (fdlibm code had a log(2)/2 cutoff for which i could not find justification, log(2) seems to be a better threshold and this was verified empirically) the new code is simpler, makes smaller binaries and should be faster for common cases the old comments were removed as they are no longer true for the new algorithm and the fdlibm copyright was dropped as well because there is no common code or idea with the original anymore except for trivial ones. 
changed the algorithm: large input is not special cased
(when exp(-x) is small compared to exp(x))
and the threshold values are reevaluated
(fdlibm code had a log(2)/2 cutoff for which i could not find
justification, log(2) seems to be a better threshold and this
was verified empirically)
the new code is simpler, makes smaller binaries and should be
faster for common cases
the old comments were removed as they are no longer true for the
new algorithm and the fdlibm copyright was dropped as well
because there is no common code or idea with the original anymore
except for trivial ones.
math: cosh cleanup 2012年12月12日T00:39:23+00:00 Szabolcs Nagy nsz@port70.net 2012年12月12日T00:39:23+00:00 14cc9c7f38c80094c05353fcb11fe9e441340583 do fabs by hand, don't check for nan and inf separately 
do fabs by hand, don't check for nan and inf separately
code cleanup of named constants 2012年03月19日T22:41:19+00:00 nsz nsz@port70.net 2012年03月19日T22:41:19+00:00 0cbb65479147ecdaa664e88cc2a5a925f3de502f zero, one, two, half are replaced by const literals The policy was to use the f suffix for float consts (1.0f), but don't use suffix for long double consts (these consts can be exactly represented as double). 
zero, one, two, half are replaced by const literals
The policy was to use the f suffix for float consts (1.0f),
but don't use suffix for long double consts (these consts
can be exactly represented as double).
first commit of the new libm! 2012年03月13日T05:17:53+00:00 Rich Felker dalias@aerifal.cx 2012年03月13日T05:17:53+00:00 b69f695acedd4ce2798ef9ea28d834ceccc789bd thanks to the hard work of Szabolcs Nagy (nsz), identifying the best (from correctness and license standpoint) implementations from freebsd and openbsd and cleaning them up! musl should now fully support c99 float and long double math functions, and has near-complete complex math support. tgmath should also work (fully on gcc-compatible compilers, and mostly on any c99 compiler). based largely on commit 0376d44a890fea261506f1fc63833e7a686dca19 from nsz's libm git repo, with some additions (dummy versions of a few missing long double complex functions, etc.) by me. various cleanups still need to be made, including re-adding (if they're correct) some asm functions that were dropped. 
thanks to the hard work of Szabolcs Nagy (nsz), identifying the best
(from correctness and license standpoint) implementations from freebsd
and openbsd and cleaning them up! musl should now fully support c99
float and long double math functions, and has near-complete complex
math support. tgmath should also work (fully on gcc-compatible
compilers, and mostly on any c99 compiler).
based largely on commit 0376d44a890fea261506f1fc63833e7a686dca19 from
nsz's libm git repo, with some additions (dummy versions of a few
missing long double complex functions, etc.) by me.
various cleanups still need to be made, including re-adding (if
they're correct) some asm functions that were dropped.

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