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author | bde <bde@FreeBSD.org> | 2008-02-14 10:23:51 +0000 |
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committer | bde <bde@FreeBSD.org> | 2008-02-14 10:23:51 +0000 |
commit | 30aa45f24bdd40449d3297b08a7214d362264c2c (patch) | |
tree | eecd0f2848ca3fb211d860c67e20841017768b81 /sys/kern/kern_descrip.c | |
parent | 73c193c7ba88117b3900b03b2c49dc0b8e76219a (diff) | |
download | FreeBSD-src-30aa45f24bdd40449d3297b08a7214d362264c2c.zip FreeBSD-src-30aa45f24bdd40449d3297b08a7214d362264c2c.tar.gz |
Fix the hi+lo decomposition for 2/(3ln2). The decomposition needs to
be into 12+24 bits of precision for extra-precision multiplication,
but was into 13+24 bits. On i386 with -O1 the bug was hidden by
accidental extra precision, but on amd64, in 2^32 trials the bug
caused about 200000 errors of more than 1 ulp, with a maximum error
of about 80 ulps. Now the maximum error in 2^32 trials on amd64
is 0.8573 ulps. It is still 0.8316 ulps on i386 with -O1.
The nearby decomposition of 1/ln2 and the decomposition of 2/(3ln2) in
the double precision version seem to be sub-optimal but not broken.
Diffstat (limited to 'sys/kern/kern_descrip.c')
0 files changed, 0 insertions, 0 deletions