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Brian Kessler 3fd62ce910 math/big: optimize multiplication by 2 and 1/2 in float Sqrt 
The Sqrt code previously used explicit constants for 2 and 1/2.  This change
replaces multiplication by these constants with increment and decrement of
the floating point exponent directly.  This improves performance by ~7-10%
for small inputs and minimal improvement for large inputs.

name                 old time/op    new time/op    delta
FloatSqrt/64-4         1.39µs ± 0%    1.29µs ± 3%   -7.01%  (p=0.016 n=4+5)
FloatSqrt/128-4        2.84µs ± 0%    2.60µs ± 1%   -8.33%  (p=0.008 n=5+5)
FloatSqrt/256-4        3.24µs ± 1%    2.91µs ± 2%  -10.00%  (p=0.008 n=5+5)
FloatSqrt/1000-4       7.42µs ± 1%    6.74µs ± 0%   -9.16%  (p=0.008 n=5+5)
FloatSqrt/10000-4      65.9µs ± 1%    65.3µs ± 4%     ~     (p=0.310 n=5+5)
FloatSqrt/100000-4     1.57ms ± 8%    1.52ms ± 1%     ~     (p=0.111 n=5+4)
FloatSqrt/1000000-4     127ms ± 1%     126ms ± 1%     ~     (p=0.690 n=5+5)

Change-Id: Id81ac842a9d64981e001c4ca3ff129eebd227593
Reviewed-on: https://go-review.googlesource.com/130835
Reviewed-by: Robert Griesemer <gri@golang.org>
2018-08-22 21:02:21 +00:00
.github .github: use HTTPS for Stack Overflow link in SUPPORT.md 2018-06-12 11:08:14 +00:00
api crypto/tls: make ConnectionState.ExportKeyingMaterial a method 2018-08-22 03:48:56 +00:00
doc crypto/tls: make ConnectionState.ExportKeyingMaterial a method 2018-08-22 03:48:56 +00:00
lib/time lib/time: update vendored tzdata to release 2018e 2018-06-11 14:47:06 +00:00
misc misc/cgo/testcarchive: make the tests work when using gccgo 2018-08-21 15:03:10 +00:00
src math/big: optimize multiplication by 2 and 1/2 in float Sqrt 2018-08-22 21:02:21 +00:00
test test: restore tests for the reject unsafe code option 2018-08-22 17:54:09 +00:00
.gitattributes
.gitignore .gitignore: ignore src/cmd/dist/dist 2017-10-28 21:55:49 +00:00
AUTHORS A+C: second and final round of updates for Go 1.11 2018-08-12 19:56:28 +00:00
CONTRIBUTING.md all: restore changes from faulty merge/revert 2018-02-12 20:13:59 +00:00
CONTRIBUTORS A+C: second and final round of updates for Go 1.11 2018-08-12 19:56:28 +00:00
favicon.ico website: recreate 16px and 32px favicon 2016-08-25 15:43:32 +00:00
LICENSE doc: revert copyright date to 2009 2016-06-01 22:40:04 +00:00
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README.md README: linkify some paths 2018-06-06 18:07:01 +00:00
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