Commit fe24837c authored by Josh Bleecher Snyder's avatar Josh Bleecher Snyder
Browse files

math/big: add fast path for pure Go addVW for large z

In the normal case, only a few words have to be updated when adding a word to a vector.
When that happens, we can simply copy the rest of the words, which is much faster.
However, the overhead of that makes it prohibitive for small vectors,
so we check the size at the beginning.

The implementation is a bit weird to allow addVW to continued to be inlined; see #30548.

The AddVW benchmarks are surprising, but fully repeatable.
The SubVW benchmarks are more or less as expected.
I expect that removing the indirect function call will
help both and make them a bit more normal.

name            old time/op    new time/op     delta
AddVW/1-8         4.27ns ± 2%     3.81ns ± 3%   -10.83%  (p=0.000 n=89+90)
AddVW/2-8         4.91ns ± 2%     4.34ns ± 1%   -11.60%  (p=0.000 n=83+90)
AddVW/3-8         5.77ns ± 4%     5.76ns ± 2%      ~     (p=0.365 n=91+87)
AddVW/4-8         6.03ns ± 1%     6.03ns ± 1%      ~     (p=0.392 n=80+76)
AddVW/5-8         6.48ns ± 2%     6.63ns ± 1%    +2.27%  (p=0.000 n=76+74)
AddVW/10-8        9.56ns ± 2%     9.56ns ± 1%    -0.02%  (p=0.002 n=69+76)
AddVW/100-8       90.6ns ± 0%     18.1ns ± 4%   -79.99%  (p=0.000 n=72+94)
AddVW/1000-8       865ns ± 0%       85ns ± 6%   -90.14%  (p=0.000 n=66+96)
AddVW/10000-8     8.57µs ± 2%     1.82µs ± 3%   -78.73%  (p=0.000 n=99+94)
AddVW/100000-8    84.4µs ± 2%     31.8µs ± 4%   -62.29%  (p=0.000 n=93+98)

name            old time/op    new time/op     delta
SubVW/1-8         3.90ns ± 2%     4.13ns ± 4%    +6.02%  (p=0.000 n=92+95)
SubVW/2-8         4.15ns ± 1%     5.20ns ± 1%   +25.22%  (p=0.000 n=83+85)
SubVW/3-8         5.50ns ± 2%     6.22ns ± 6%   +13.21%  (p=0.000 n=91+97)
SubVW/4-8         5.99ns ± 1%     6.63ns ± 1%   +10.63%  (p=0.000 n=79+61)
SubVW/5-8         6.75ns ± 4%     6.88ns ± 2%    +1.82%  (p=0.000 n=98+73)
SubVW/10-8        9.57ns ± 1%     9.56ns ± 1%    -0.13%  (p=0.000 n=77+64)
SubVW/100-8       90.3ns ± 1%     18.1ns ± 2%   -80.00%  (p=0.000 n=75+94)
SubVW/1000-8       860ns ± 4%       85ns ± 7%   -90.14%  (p=0.000 n=97+99)
SubVW/10000-8     8.51µs ± 3%     1.77µs ± 6%   -79.21%  (p=0.000 n=100+97)
SubVW/100000-8    84.4µs ± 3%     31.5µs ± 3%   -62.66%  (p=0.000 n=92+92)

Change-Id: I721d7031d40f245b4a284f5bdd93e7bb85e7e937
Reviewed-on: https://go-review.googlesource.com/c/go/+/164968


Run-TryBot: Josh Bleecher Snyder <josharian@gmail.com>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: default avatarRobert Griesemer <gri@golang.org>
parent 4c227a09
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