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authorSzabolcs Nagy <nsz@port70.net>2012-12-14 18:29:56 +0100
committerSzabolcs Nagy <nsz@port70.net>2012-12-14 18:29:56 +0100
commita8f73bb1a685dd7d67669c6f6ceb255cfa967790 (patch)
tree6b6a17fee9e78b45247971b839d9ea9566765005 /src/math/exp2l.c
parent934609442339edb21a33532ccefac8b78e6305f2 (diff)
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math: fix i386/expl.s with more precise x*log2e
with naive exp2l(x*log2e) the last 12bits of the result was incorrect
for x with large absolute value

with hi + lo = x*log2e is caluclated to 128 bits precision and then
  expl(x) = exp2l(hi) + exp2l(hi) * f2xm1(lo)
this gives <1.5ulp measured error everywhere in nearest rounding mode
Diffstat (limited to 'src/math/exp2l.c')
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