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authorRich Felker <dalias@aerifal.cx>2012-03-20 00:51:32 -0400
committerRich Felker <dalias@aerifal.cx>2012-03-20 00:51:32 -0400
commitbaa43bca0a051e8deb0d6a9a8882ceeea5c27249 (patch)
treef5fe7ae916d9039adfe82217716e2aafd08702fb /src/misc
parent7513d3ecabb998e2c8c4cb9ed5de48c4b64a166b (diff)
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optimize scalbn family
the fscale instruction is slow everywhere, probably because it
involves a costly and unnecessary integer truncation operation that
ends up being a no-op in common usages. instead, construct a floating
point scale value with integer arithmetic and simply multiply by it,
when possible.

for float and double, this is always possible by going to the
next-larger type. we use some cheap but effective saturating
arithmetic tricks to make sure even very large-magnitude exponents
fit. for long double, if the scaling exponent is too large to fit in
the exponent of a long double value, we simply fallback to the
expensive fscale method.

on atom cpu, these changes speed up scalbn by over 30%. (min rdtsc
timing dropped from 110 cycles to 70 cycles.)
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