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authorJoseph Myers <joseph@codesourcery.com>2015-09-26 00:27:06 +0000
committerJoseph Myers <joseph@codesourcery.com>2015-09-26 00:27:06 +0000
commitfa752c698146ca3e9f7747d33059fbef9bb02b0e (patch)
treea41295f8a99770d272a53c714effd0f5749b2735 /sysdeps/ieee754/dbl-64/uroot.h
parent6ace39382120dd0668b2168591611f71b04ac8f3 (diff)
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Fix powf inaccuracy (bug 18956).
The flt-32 version of powf can be inaccurate because of bugs in the
extra-precision calculation of (x-1)/(x+1) or (x-1.5)/(x+1.5) as part
of calculating log(x) with extra precision: a constant used (as part
of adding 1 or 1.5 through integer arithmetic) is incorrect, and then
the code fails to mask a computed high part before using it in
arithmetic that relies on s_h*t_h being exactly representable.  This
patch fixes these bugs.

Tested for x86_64 and x86.  x86_64 ulps for powf removed and
regenerated to reflect reduced ulps from the increased accuracy for
existing tests.

	[BZ #18956]
	* sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Add 0x00400000
	not 0x0040000 for high bit of mantissa.  Mask with 0xfffff000 when
	extracting high part.
	* math/auto-libm-test-in: Add another test of pow.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/x86_64/fpu/libm-test-ulps: Update.
Diffstat (limited to 'sysdeps/ieee754/dbl-64/uroot.h')
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