Commit Graph

765 Commits

Author SHA1 Message Date
Russ Cox a812e5f3c3 math/big: update calibration tests and recalibrate
Refactor calibration tests to use the same logic for all.

Choosing thresholds that are broadly appropriate for all systems is part science
but also part guesswork and judgement. We could instead set per-GOOS/GOARCH
thresholds, but that seems like too much work, and even then there would be
variation between different chips within a GOOS/GOARCH.
(For example see the three linux/amd64 systems benchmarked below.)

The thresholds chosen in this CL are:

	karatsubaThreshold = 40 // unchanged
	basicSqrThreshold = 12 // was 20
	karatsubaSqrThreshold = 80 // was 260
	divRecursiveThreshold = 40 // was 100

The new file calibrate.md explains the calibration process and links to graphs
justifying those values. (The graphs are hosted on swtch.com to avoid adding
a megabyte of extra data to the Go repo and Go distributions.)

A rendered copy of calibrate.md is at https://swtch.com/math/big/calibrate.html.

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) Platinum 8481C CPU @ 2.70GHz
                         │     old      │                 new                 │
                         │    sec/op    │   sec/op     vs base                │
Div/20/10-88                13.13n ± 2%   13.14n ± 2%        ~ (p=0.494 n=15)
Div/40/20-88                13.13n ± 2%   13.14n ± 2%        ~ (p=0.137 n=15)
Div/100/50-88               25.50n ± 0%   25.51n ± 0%        ~ (p=0.038 n=15)
Div/200/100-88              113.1n ± 1%   116.0n ± 3%   +2.56% (p=0.000 n=15)
Div/400/200-88              135.3n ± 0%   137.1n ± 1%        ~ (p=0.004 n=15)
Div/1000/500-88             259.9n ± 1%   259.0n ± 2%        ~ (p=0.182 n=15)
Div/2000/1000-88            568.8n ± 1%   564.7n ± 3%        ~ (p=0.927 n=15)
Div/20000/10000-88          25.79µ ± 1%   22.11µ ± 2%  -14.26% (p=0.000 n=15)
Div/200000/100000-88        755.1µ ± 1%   737.6µ ± 1%   -2.32% (p=0.000 n=15)
Div/2000000/1000000-88      31.30m ± 0%   31.20m ± 1%        ~ (p=0.081 n=15)
Div/20000000/10000000-88     1.268 ± 0%    1.265 ± 0%        ~ (p=0.011 n=15)
NatMul/10-88                142.6n ± 0%   142.9n ± 7%        ~ (p=0.145 n=15)
NatMul/100-88               4.347µ ± 0%   4.350µ ± 3%        ~ (p=0.430 n=15)
NatMul/1000-88              187.6µ ± 0%   188.4µ ± 2%        ~ (p=0.004 n=15)
NatMul/10000-88             8.052m ± 0%   8.057m ± 1%        ~ (p=0.148 n=15)
NatMul/100000-88            260.6m ± 0%   260.7m ± 0%        ~ (p=0.512 n=15)
NatSqr/1-88                 26.58n ± 5%   27.96n ± 8%        ~ (p=0.574 n=15)
NatSqr/2-88                 42.35n ± 7%   44.87n ± 6%        ~ (p=0.690 n=15)
NatSqr/3-88                 53.28n ± 4%   55.62n ± 5%        ~ (p=0.151 n=15)
NatSqr/5-88                 76.26n ± 6%   81.43n ± 6%   +6.78% (p=0.000 n=15)
NatSqr/8-88                 110.8n ± 5%   116.4n ± 6%        ~ (p=0.040 n=15)
NatSqr/10-88                141.4n ± 4%   147.8n ± 4%        ~ (p=0.011 n=15)
NatSqr/20-88                325.8n ± 3%   341.7n ± 4%   +4.88% (p=0.000 n=15)
NatSqr/30-88                536.8n ± 3%   556.1n ± 4%        ~ (p=0.027 n=15)
NatSqr/50-88                1.168µ ± 3%   1.197µ ± 3%        ~ (p=0.442 n=15)
NatSqr/80-88                2.527µ ± 2%   2.480µ ± 2%   -1.86% (p=0.000 n=15)
NatSqr/100-88               3.771µ ± 2%   3.535µ ± 2%   -6.26% (p=0.000 n=15)
NatSqr/200-88               14.03µ ± 2%   10.57µ ± 3%  -24.68% (p=0.000 n=15)
NatSqr/300-88               24.06µ ± 2%   20.57µ ± 2%  -14.52% (p=0.000 n=15)
NatSqr/500-88               65.43µ ± 1%   45.45µ ± 1%  -30.55% (p=0.000 n=15)
NatSqr/800-88              126.41µ ± 1%   94.13µ ± 2%  -25.54% (p=0.000 n=15)
NatSqr/1000-88              196.4µ ± 1%   135.1µ ± 1%  -31.18% (p=0.000 n=15)
NatSqr/10000-88             6.404m ± 0%   5.326m ± 1%  -16.84% (p=0.000 n=15)
NatSqr/100000-88            267.2m ± 0%   198.7m ± 0%  -25.64% (p=0.000 n=15)
geomean                     7.318µ        6.948µ        -5.06%

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) CPU @ 3.10GHz
                         │     old     │                 new                 │
                         │   sec/op    │   sec/op     vs base                │
Div/20/10-16               22.23n ± 0%   22.23n ± 0%        ~ (p=0.973 n=15)
Div/40/20-16               22.23n ± 0%   22.23n ± 0%        ~ (p=0.226 n=15)
Div/100/50-16              55.27n ± 1%   55.59n ± 0%        ~ (p=0.004 n=15)
Div/200/100-16             174.7n ± 3%   175.9n ± 2%        ~ (p=0.645 n=15)
Div/400/200-16             208.8n ± 1%   209.5n ± 2%        ~ (p=0.169 n=15)
Div/1000/500-16            378.7n ± 2%   380.5n ± 2%        ~ (p=0.091 n=15)
Div/2000/1000-16           778.4n ± 1%   781.1n ± 2%        ~ (p=0.104 n=15)
Div/20000/10000-16         25.16µ ± 1%   24.93µ ± 1%   -0.91% (p=0.000 n=15)
Div/200000/100000-16       926.4µ ± 0%   927.7µ ± 1%        ~ (p=0.436 n=15)
Div/2000000/1000000-16     35.58m ± 0%   35.53m ± 0%        ~ (p=0.267 n=15)
Div/20000000/10000000-16    1.333 ± 0%    1.330 ± 0%        ~ (p=0.126 n=15)
NatMul/10-16               172.6n ± 0%   165.4n ± 0%   -4.17% (p=0.000 n=15)
NatMul/100-16              5.706µ ± 0%   5.503µ ± 0%   -3.56% (p=0.000 n=15)
NatMul/1000-16             220.8µ ± 0%   219.1µ ± 0%   -0.76% (p=0.000 n=15)
NatMul/10000-16            8.688m ± 0%   8.621m ± 0%   -0.77% (p=0.000 n=15)
NatMul/100000-16           333.3m ± 0%   333.5m ± 0%        ~ (p=0.512 n=15)
NatSqr/1-16                28.66n ± 1%   28.42n ± 3%   -0.84% (p=0.000 n=15)
NatSqr/2-16                48.29n ± 2%   48.19n ± 2%        ~ (p=0.042 n=15)
NatSqr/3-16                59.93n ± 0%   59.64n ± 2%   -0.48% (p=0.000 n=15)
NatSqr/5-16                88.05n ± 0%   87.89n ± 3%        ~ (p=0.066 n=15)
NatSqr/8-16                127.7n ± 0%   126.9n ± 3%   -0.63% (p=0.000 n=15)
NatSqr/10-16               170.4n ± 0%   169.7n ± 3%        ~ (p=0.004 n=15)
NatSqr/20-16               388.8n ± 0%   392.9n ± 3%        ~ (p=0.123 n=15)
NatSqr/30-16               635.2n ± 0%   641.7n ± 3%        ~ (p=0.123 n=15)
NatSqr/50-16               1.304µ ± 1%   1.314µ ± 3%        ~ (p=0.927 n=15)
NatSqr/80-16               2.709µ ± 1%   2.899µ ± 4%   +7.01% (p=0.000 n=15)
NatSqr/100-16              3.885µ ± 0%   3.981µ ± 4%        ~ (p=0.123 n=15)
NatSqr/200-16              13.29µ ± 2%   12.14µ ± 4%   -8.67% (p=0.000 n=15)
NatSqr/300-16              23.39µ ± 0%   22.51µ ± 3%   -3.78% (p=0.000 n=15)
NatSqr/500-16              58.13µ ± 1%   50.56µ ± 2%  -13.02% (p=0.000 n=15)
NatSqr/800-16              118.4µ ± 1%   107.6µ ± 2%   -9.11% (p=0.000 n=15)
NatSqr/1000-16             172.7µ ± 1%   151.8µ ± 2%  -12.11% (p=0.000 n=15)
NatSqr/10000-16            6.065m ± 1%   5.757m ± 1%   -5.08% (p=0.000 n=15)
NatSqr/100000-16           240.9m ± 0%   228.1m ± 0%   -5.32% (p=0.000 n=15)
geomean                    8.601µ        8.453µ        -1.71%

goos: linux
goarch: amd64
pkg: math/big
cpu: AMD Ryzen 9 7950X 16-Core Processor
                         │     old      │                  new                  │
                         │    sec/op    │    sec/op      vs base                │
Div/20/10-32               11.11n ±  0%    11.11n ±  1%        ~ (p=0.532 n=15)
Div/40/20-32               11.08n ±  1%    11.11n ±  0%        ~ (p=0.815 n=15)
Div/100/50-32              16.81n ±  0%    16.84n ± 29%        ~ (p=0.020 n=15)
Div/200/100-32             73.91n ±  0%    76.85n ± 11%   +3.98% (p=0.000 n=15)
Div/400/200-32             87.35n ±  0%    88.91n ± 34%   +1.79% (p=0.000 n=15)
Div/1000/500-32            169.3n ±  1%    168.9n ±  1%        ~ (p=0.049 n=15)
Div/2000/1000-32           369.3n ±  0%    369.0n ±  0%        ~ (p=0.108 n=15)
Div/20000/10000-32         15.92µ ±  0%    13.55µ ±  2%  -14.91% (p=0.000 n=15)
Div/200000/100000-32       491.4µ ±  0%    482.4µ ±  1%   -1.84% (p=0.000 n=15)
Div/2000000/1000000-32     20.09m ±  0%    19.96m ±  0%   -0.69% (p=0.000 n=15)
Div/20000000/10000000-32   756.5m ±  0%    755.5m ±  0%        ~ (p=0.089 n=15)
NatMul/10-32               125.4n ±  5%    124.8n ±  1%        ~ (p=0.588 n=15)
NatMul/100-32              2.952µ ±  3%    2.969µ ±  0%        ~ (p=0.237 n=15)
NatMul/1000-32             120.7µ ±  0%    121.1µ ±  0%   +0.30% (p=0.000 n=15)
NatMul/10000-32            4.845m ±  0%    4.839m ±  1%        ~ (p=0.653 n=15)
NatMul/100000-32           173.3m ±  0%    173.3m ±  0%        ~ (p=0.838 n=15)
NatSqr/1-32                31.18n ± 23%    32.08n ±  2%        ~ (p=0.015 n=15)
NatSqr/2-32                57.22n ± 28%    58.88n ±  2%        ~ (p=0.054 n=15)
NatSqr/3-32                61.34n ± 18%    64.33n ±  2%        ~ (p=0.237 n=15)
NatSqr/5-32                72.47n ± 17%    79.81n ±  3%        ~ (p=0.067 n=15)
NatSqr/8-32                83.26n ± 26%   100.10n ±  3%        ~ (p=0.016 n=15)
NatSqr/10-32               87.31n ± 43%   125.50n ±  2%        ~ (p=0.003 n=15)
NatSqr/20-32               193.5n ± 25%    244.4n ± 13%        ~ (p=0.002 n=15)
NatSqr/30-32               323.9n ± 17%    380.9n ±  6%        ~ (p=0.003 n=15)
NatSqr/50-32               713.4n ±  9%    761.7n ±  8%        ~ (p=0.419 n=15)
NatSqr/80-32               1.486µ ±  7%    1.609µ ±  5%   +8.28% (p=0.000 n=15)
NatSqr/100-32              2.115µ ±  9%    2.253µ ±  1%        ~ (p=0.104 n=15)
NatSqr/200-32              7.201µ ±  4%    6.610µ ±  1%   -8.21% (p=0.000 n=15)
NatSqr/300-32              13.08µ ±  2%    12.37µ ±  1%   -5.41% (p=0.000 n=15)
NatSqr/500-32              32.56µ ±  2%    27.83µ ±  2%  -14.52% (p=0.000 n=15)
NatSqr/800-32              66.83µ ±  3%    59.59µ ±  1%  -10.83% (p=0.000 n=15)
NatSqr/1000-32             98.09µ ±  1%    83.59µ ±  1%  -14.78% (p=0.000 n=15)
NatSqr/10000-32            3.445m ±  1%    3.245m ±  0%   -5.81% (p=0.000 n=15)
NatSqr/100000-32           137.3m ±  0%    127.0m ±  0%   -7.54% (p=0.000 n=15)
geomean                    4.897µ          4.972µ         +1.52%

goos: linux
goarch: arm64
pkg: math/big
                         │     old     │                 new                 │
                         │   sec/op    │   sec/op     vs base                │
Div/20/10-16               15.26n ± 2%   15.14n ± 1%        ~ (p=0.212 n=15)
Div/40/20-16               15.22n ± 1%   15.16n ± 0%        ~ (p=0.190 n=15)
Div/100/50-16              26.53n ± 2%   26.42n ± 0%   -0.41% (p=0.000 n=15)
Div/200/100-16             124.3n ± 0%   124.0n ± 0%        ~ (p=0.704 n=15)
Div/400/200-16             142.4n ± 0%   141.8n ± 0%        ~ (p=0.074 n=15)
Div/1000/500-16            262.0n ± 1%   261.3n ± 1%        ~ (p=0.046 n=15)
Div/2000/1000-16           532.6n ± 0%   532.5n ± 1%        ~ (p=0.798 n=15)
Div/20000/10000-16         22.27µ ± 0%   22.88µ ± 0%   +2.73% (p=0.000 n=15)
Div/200000/100000-16       890.4µ ± 0%   902.8µ ± 0%   +1.39% (p=0.000 n=15)
Div/2000000/1000000-16     35.03m ± 0%   35.10m ± 0%        ~ (p=0.305 n=15)
Div/20000000/10000000-16    1.380 ± 0%    1.385 ± 0%        ~ (p=0.019 n=15)
NatMul/10-16               177.6n ± 1%   175.6n ± 3%        ~ (p=0.480 n=15)
NatMul/100-16              5.675µ ± 0%   5.669µ ± 1%        ~ (p=0.705 n=15)
NatMul/1000-16             224.3µ ± 0%   224.6µ ± 0%        ~ (p=0.653 n=15)
NatMul/10000-16            8.735m ± 0%   8.739m ± 0%        ~ (p=0.567 n=15)
NatMul/100000-16           331.6m ± 0%   331.6m ± 1%        ~ (p=0.412 n=15)
NatSqr/1-16                43.69n ± 2%   42.77n ± 6%        ~ (p=0.383 n=15)
NatSqr/2-16                65.26n ± 2%   63.91n ± 5%        ~ (p=0.285 n=15)
NatSqr/3-16                73.95n ± 1%   72.25n ± 6%        ~ (p=0.198 n=15)
NatSqr/5-16                95.06n ± 1%   94.21n ± 3%        ~ (p=0.721 n=15)
NatSqr/8-16                155.5n ± 1%   153.4n ± 4%        ~ (p=0.170 n=15)
NatSqr/10-16               175.4n ± 1%   174.0n ± 2%        ~ (p=0.271 n=15)
NatSqr/20-16               360.8n ± 0%   358.5n ± 2%        ~ (p=0.170 n=15)
NatSqr/30-16               584.7n ± 0%   582.9n ± 1%        ~ (p=0.170 n=15)
NatSqr/50-16               1.323µ ± 0%   1.322µ ± 0%        ~ (p=0.627 n=15)
NatSqr/80-16               2.916µ ± 0%   2.674µ ± 0%   -8.30% (p=0.000 n=15)
NatSqr/100-16              4.365µ ± 0%   3.802µ ± 0%  -12.90% (p=0.000 n=15)
NatSqr/200-16              16.42µ ± 0%   11.29µ ± 0%  -31.26% (p=0.000 n=15)
NatSqr/300-16              28.07µ ± 0%   22.83µ ± 0%  -18.68% (p=0.000 n=15)
NatSqr/500-16              76.30µ ± 0%   50.06µ ± 0%  -34.39% (p=0.000 n=15)
NatSqr/800-16              147.5µ ± 0%   101.2µ ± 1%  -31.41% (p=0.000 n=15)
NatSqr/1000-16             228.6µ ± 0%   149.5µ ± 0%  -34.61% (p=0.000 n=15)
NatSqr/10000-16            7.417m ± 0%   6.025m ± 0%  -18.76% (p=0.000 n=15)
NatSqr/100000-16           309.2m ± 0%   214.9m ± 0%  -30.50% (p=0.000 n=15)
geomean                    8.559µ        7.906µ        -7.63%

goos: darwin
goarch: arm64
pkg: math/big
cpu: Apple M3 Pro
                         │     old      │                 new                 │
                         │    sec/op    │   sec/op     vs base                │
Div/20/10-12                9.577n ± 6%   9.473n ± 5%        ~ (p=0.384 n=15)
Div/40/20-12                9.480n ± 1%   9.430n ± 1%        ~ (p=0.019 n=15)
Div/100/50-12               14.82n ± 0%   14.82n ± 0%        ~ (p=0.845 n=15)
Div/200/100-12              83.94n ± 1%   84.35n ± 4%        ~ (p=0.512 n=15)
Div/400/200-12              102.7n ± 1%   102.9n ± 0%        ~ (p=0.845 n=15)
Div/1000/500-12             185.3n ± 1%   181.9n ± 1%   -1.83% (p=0.000 n=15)
Div/2000/1000-12            397.0n ± 1%   396.7n ± 0%        ~ (p=0.959 n=15)
Div/20000/10000-12          14.05µ ± 0%   13.70µ ± 1%        ~ (p=0.002 n=15)
Div/200000/100000-12        529.4µ ± 3%   526.7µ ± 2%        ~ (p=0.967 n=15)
Div/2000000/1000000-12      20.05m ± 0%   20.05m ± 0%        ~ (p=0.653 n=15)
Div/20000000/10000000-12    788.2m ± 1%   789.0m ± 1%        ~ (p=0.412 n=15)
NatMul/10-12                79.95n ± 1%   80.87n ± 1%   +1.15% (p=0.000 n=15)
NatMul/100-12               2.973µ ± 0%   2.986µ ± 2%        ~ (p=0.051 n=15)
NatMul/1000-12              122.6µ ± 5%   123.0µ ± 1%        ~ (p=0.783 n=15)
NatMul/10000-12             4.990m ± 1%   5.000m ± 1%        ~ (p=0.653 n=15)
NatMul/100000-12            185.3m ± 3%   190.3m ± 1%        ~ (p=0.089 n=15)
NatSqr/1-12                 11.84n ± 1%   11.88n ± 1%        ~ (p=0.735 n=15)
NatSqr/2-12                 21.01n ± 1%   21.44n ± 6%        ~ (p=0.039 n=15)
NatSqr/3-12                 25.59n ± 0%   26.74n ± 9%   +4.49% (p=0.000 n=15)
NatSqr/5-12                 36.78n ± 0%   37.04n ± 1%   +0.71% (p=0.000 n=15)
NatSqr/8-12                 63.09n ± 3%   63.22n ± 1%        ~ (p=0.846 n=15)
NatSqr/10-12                79.98n ± 0%   79.78n ± 0%        ~ (p=0.100 n=15)
NatSqr/20-12                174.0n ± 0%   175.5n ± 1%        ~ (p=0.361 n=15)
NatSqr/30-12                290.0n ± 0%   291.4n ± 0%        ~ (p=0.002 n=15)
NatSqr/50-12                655.2n ± 4%   658.1n ± 0%        ~ (p=0.060 n=15)
NatSqr/80-12                1.506µ ± 0%   1.397µ ± 5%   -7.24% (p=0.000 n=15)
NatSqr/100-12               2.273µ ± 0%   2.005µ ± 5%  -11.79% (p=0.000 n=15)
NatSqr/200-12               8.833µ ± 6%   6.109µ ± 0%  -30.84% (p=0.000 n=15)
NatSqr/300-12               15.15µ ± 4%   12.37µ ± 0%  -18.34% (p=0.000 n=15)
NatSqr/500-12               41.89µ ± 0%   27.70µ ± 1%  -33.88% (p=0.000 n=15)
NatSqr/800-12               80.72µ ± 0%   56.40µ ± 0%  -30.12% (p=0.000 n=15)
NatSqr/1000-12             127.06µ ± 1%   84.06µ ± 1%  -33.84% (p=0.000 n=15)
NatSqr/10000-12             4.130m ± 0%   3.390m ± 0%  -17.91% (p=0.000 n=15)
NatSqr/100000-12            173.2m ± 0%   131.2m ± 6%  -24.25% (p=0.000 n=15)
geomean                     4.489µ        4.189µ        -6.68%

Change-Id: Iaf65fd85457b003ebf07a787c875cda321b40cc9
Reviewed-on: https://go-review.googlesource.com/c/go/+/652058
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Robert Griesemer <gri@google.com>
Reviewed-by: Alan Donovan <adonovan@google.com>
Auto-Submit: Russ Cox <rsc@golang.org>
2025-03-12 05:41:50 -07:00
Russ Cox d037ed62bc math/big: simplify, speed up Karatsuba multiplication
The old Karatsuba implementation only operated on lengths that are
a power of two times a number smaller than karatsubaThreshold.
For example, when karatsubaThreshold = 40, multiplying a pair
of 99-word numbers runs karatsuba on the low 96 (= 39<<2) words
and then has to fix up the answer to include the high 3 words of each.

I suspect this requirement was needed to make the analysis of
how many temporary words to reserve easier, back when the
answer was 3*n and depended on exactly halving the size at
each Karatsuba step.

Now that we have the more flexible temporary allocation stack,
we can change Karatsuba to accept operands of odd length.
Doing so avoids most of the fixup that the old approach required.
For example, multiplying a pair of 99-word numbers runs
karatsuba on all 99 words now.

This is simpler and about the same speed or, for large cases, faster.

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) CPU @ 3.10GHz
                            │     old     │                 new                 │
                            │   sec/op    │   sec/op     vs base                │
GCD10x10/WithoutXY-16         99.62n ± 3%   99.10n ± 3%        ~ (p=0.009 n=15)
GCD10x10/WithXY-16            243.4n ± 1%   245.2n ± 1%        ~ (p=0.009 n=15)
GCD100x100/WithoutXY-16       921.9n ± 1%   919.2n ± 1%        ~ (p=0.076 n=15)
GCD100x100/WithXY-16          1.527µ ± 1%   1.526µ ± 0%        ~ (p=0.813 n=15)
GCD1000x1000/WithoutXY-16     9.704µ ± 1%   9.696µ ± 0%        ~ (p=0.532 n=15)
GCD1000x1000/WithXY-16        14.03µ ± 1%   13.96µ ± 0%        ~ (p=0.014 n=15)
GCD10000x10000/WithoutXY-16   206.5µ ± 2%   206.5µ ± 0%        ~ (p=0.967 n=15)
GCD10000x10000/WithXY-16      398.0µ ± 1%   397.4µ ± 0%        ~ (p=0.683 n=15)
Div/20/10-16                  22.22n ± 0%   22.23n ± 0%        ~ (p=0.105 n=15)
Div/40/20-16                  22.23n ± 0%   22.23n ± 0%        ~ (p=0.307 n=15)
Div/100/50-16                 55.47n ± 0%   55.47n ± 0%        ~ (p=0.573 n=15)
Div/200/100-16                174.9n ± 1%   174.6n ± 1%        ~ (p=0.814 n=15)
Div/400/200-16                209.5n ± 1%   210.5n ± 1%        ~ (p=0.454 n=15)
Div/1000/500-16               379.9n ± 0%   383.5n ± 2%        ~ (p=0.123 n=15)
Div/2000/1000-16              780.1n ± 0%   784.6n ± 1%   +0.58% (p=0.000 n=15)
Div/20000/10000-16            25.22µ ± 1%   25.15µ ± 0%        ~ (p=0.213 n=15)
Div/200000/100000-16          921.8µ ± 1%   926.1µ ± 0%        ~ (p=0.009 n=15)
Div/2000000/1000000-16        37.91m ± 0%   35.63m ± 0%   -6.02% (p=0.000 n=15)
Div/20000000/10000000-16       1.378 ± 0%    1.336 ± 0%   -3.03% (p=0.000 n=15)
NatMul/10-16                  166.8n ± 4%   168.9n ± 3%        ~ (p=0.008 n=15)
NatMul/100-16                 5.519µ ± 2%   5.548µ ± 4%        ~ (p=0.032 n=15)
NatMul/1000-16                230.4µ ± 1%   220.2µ ± 1%   -4.43% (p=0.000 n=15)
NatMul/10000-16               8.569m ± 1%   8.640m ± 1%        ~ (p=0.005 n=15)
NatMul/100000-16              376.5m ± 1%   334.1m ± 0%  -11.26% (p=0.000 n=15)
NatSqr/1-16                   27.85n ± 5%   28.60n ± 2%        ~ (p=0.123 n=15)
NatSqr/2-16                   47.99n ± 2%   48.84n ± 1%        ~ (p=0.008 n=15)
NatSqr/3-16                   59.41n ± 2%   60.87n ± 2%   +2.46% (p=0.001 n=15)
NatSqr/5-16                   87.27n ± 2%   89.31n ± 3%        ~ (p=0.087 n=15)
NatSqr/8-16                   124.6n ± 3%   128.9n ± 3%        ~ (p=0.006 n=15)
NatSqr/10-16                  166.3n ± 3%   172.7n ± 3%        ~ (p=0.002 n=15)
NatSqr/20-16                  385.2n ± 2%   394.7n ± 3%        ~ (p=0.036 n=15)
NatSqr/30-16                  622.7n ± 3%   642.9n ± 3%        ~ (p=0.032 n=15)
NatSqr/50-16                  1.274µ ± 3%   1.323µ ± 4%        ~ (p=0.003 n=15)
NatSqr/80-16                  2.606µ ± 4%   2.714µ ± 4%        ~ (p=0.044 n=15)
NatSqr/100-16                 3.731µ ± 4%   3.871µ ± 4%        ~ (p=0.038 n=15)
NatSqr/200-16                 12.99µ ± 2%   13.09µ ± 3%        ~ (p=0.838 n=15)
NatSqr/300-16                 22.87µ ± 2%   23.25µ ± 2%        ~ (p=0.285 n=15)
NatSqr/500-16                 58.43µ ± 1%   58.25µ ± 2%        ~ (p=0.345 n=15)
NatSqr/800-16                 115.3µ ± 3%   116.2µ ± 3%        ~ (p=0.126 n=15)
NatSqr/1000-16                173.9µ ± 1%   174.3µ ± 1%        ~ (p=0.935 n=15)
NatSqr/10000-16               6.133m ± 2%   6.034m ± 1%   -1.62% (p=0.000 n=15)
NatSqr/100000-16              253.8m ± 1%   241.5m ± 0%   -4.87% (p=0.000 n=15)
geomean                       7.745µ        7.760µ        +0.19%

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) Platinum 8481C CPU @ 2.70GHz
                            │     old     │                 new                  │
                            │   sec/op    │    sec/op     vs base                │
GCD10x10/WithoutXY-88         62.17n ± 4%   61.44n ±  0%   -1.17% (p=0.000 n=15)
GCD10x10/WithXY-88            173.4n ± 2%   172.4n ±  4%        ~ (p=0.615 n=15)
GCD100x100/WithoutXY-88       584.0n ± 1%   582.9n ±  0%        ~ (p=0.009 n=15)
GCD100x100/WithXY-88          1.098µ ± 1%   1.091µ ±  2%        ~ (p=0.002 n=15)
GCD1000x1000/WithoutXY-88     6.055µ ± 0%   6.049µ ±  0%        ~ (p=0.007 n=15)
GCD1000x1000/WithXY-88        9.430µ ± 0%   9.417µ ±  1%        ~ (p=0.123 n=15)
GCD10000x10000/WithoutXY-88   153.4µ ± 2%   149.0µ ±  2%   -2.85% (p=0.000 n=15)
GCD10000x10000/WithXY-88      350.6µ ± 3%   349.0µ ±  2%        ~ (p=0.126 n=15)
Div/20/10-88                  13.12n ± 0%   13.12n ±  1%    0.00% (p=0.042 n=15)
Div/40/20-88                  13.12n ± 0%   13.13n ±  0%        ~ (p=0.004 n=15)
Div/100/50-88                 25.49n ± 0%   25.49n ±  0%        ~ (p=0.452 n=15)
Div/200/100-88                115.7n ± 2%   113.8n ±  2%        ~ (p=0.212 n=15)
Div/400/200-88                135.0n ± 1%   136.1n ±  1%        ~ (p=0.005 n=15)
Div/1000/500-88               257.5n ± 1%   259.9n ±  1%        ~ (p=0.004 n=15)
Div/2000/1000-88              567.5n ± 1%   572.4n ±  2%        ~ (p=0.616 n=15)
Div/20000/10000-88            25.65µ ± 0%   25.77µ ±  1%        ~ (p=0.032 n=15)
Div/200000/100000-88          777.4µ ± 1%   754.3µ ±  1%   -2.97% (p=0.000 n=15)
Div/2000000/1000000-88        33.66m ± 0%   31.37m ±  0%   -6.81% (p=0.000 n=15)
Div/20000000/10000000-88       1.320 ± 0%    1.266 ±  0%   -4.04% (p=0.000 n=15)
NatMul/10-88                  151.9n ± 7%   143.3n ±  7%        ~ (p=0.878 n=15)
NatMul/100-88                 4.418µ ± 2%   4.337µ ±  3%        ~ (p=0.512 n=15)
NatMul/1000-88                206.8µ ± 1%   189.8µ ±  1%   -8.25% (p=0.000 n=15)
NatMul/10000-88               8.531m ± 1%   8.095m ±  0%   -5.12% (p=0.000 n=15)
NatMul/100000-88              298.9m ± 0%   260.5m ±  1%  -12.85% (p=0.000 n=15)
NatSqr/1-88                   27.55n ± 6%   28.25n ±  7%        ~ (p=0.024 n=15)
NatSqr/2-88                   44.71n ± 6%   46.21n ±  9%        ~ (p=0.024 n=15)
NatSqr/3-88                   55.44n ± 4%   58.41n ± 10%        ~ (p=0.126 n=15)
NatSqr/5-88                   80.71n ± 5%   81.41n ±  5%        ~ (p=0.032 n=15)
NatSqr/8-88                   115.7n ± 4%   115.4n ±  5%        ~ (p=0.814 n=15)
NatSqr/10-88                  147.4n ± 4%   147.3n ±  4%        ~ (p=0.505 n=15)
NatSqr/20-88                  337.8n ± 3%   337.3n ±  4%        ~ (p=0.814 n=15)
NatSqr/30-88                  556.9n ± 3%   557.6n ±  4%        ~ (p=0.814 n=15)
NatSqr/50-88                  1.208µ ± 4%   1.208µ ±  3%        ~ (p=0.910 n=15)
NatSqr/80-88                  2.591µ ± 3%   2.581µ ±  3%        ~ (p=0.705 n=15)
NatSqr/100-88                 3.870µ ± 3%   3.858µ ±  3%        ~ (p=0.846 n=15)
NatSqr/200-88                 14.43µ ± 3%   14.28µ ±  2%        ~ (p=0.383 n=15)
NatSqr/300-88                 24.68µ ± 2%   24.49µ ±  2%        ~ (p=0.624 n=15)
NatSqr/500-88                 66.27µ ± 1%   66.18µ ±  1%        ~ (p=0.735 n=15)
NatSqr/800-88                 128.7µ ± 1%   127.4µ ±  1%        ~ (p=0.050 n=15)
NatSqr/1000-88                198.7µ ± 1%   197.7µ ±  1%        ~ (p=0.229 n=15)
NatSqr/10000-88               6.582m ± 1%   6.426m ±  1%   -2.37% (p=0.000 n=15)
NatSqr/100000-88              274.3m ± 0%   267.3m ±  0%   -2.57% (p=0.000 n=15)
geomean                       6.518µ        6.438µ         -1.22%

goos: linux
goarch: arm64
pkg: math/big
                            │     old     │                 new                 │
                            │   sec/op    │   sec/op     vs base                │
GCD10x10/WithoutXY-16         61.70n ± 1%   61.32n ± 1%        ~ (p=0.361 n=15)
GCD10x10/WithXY-16            217.3n ± 1%   217.0n ± 1%        ~ (p=0.395 n=15)
GCD100x100/WithoutXY-16       569.7n ± 0%   572.6n ± 2%        ~ (p=0.213 n=15)
GCD100x100/WithXY-16          1.241µ ± 1%   1.236µ ± 1%        ~ (p=0.157 n=15)
GCD1000x1000/WithoutXY-16     5.558µ ± 0%   5.566µ ± 0%        ~ (p=0.228 n=15)
GCD1000x1000/WithXY-16        9.319µ ± 0%   9.326µ ± 0%        ~ (p=0.233 n=15)
GCD10000x10000/WithoutXY-16   126.4µ ± 2%   128.7µ ± 3%        ~ (p=0.081 n=15)
GCD10000x10000/WithXY-16      279.3µ ± 0%   278.3µ ± 5%        ~ (p=0.187 n=15)
Div/20/10-16                  15.12n ± 1%   15.21n ± 1%        ~ (p=0.490 n=15)
Div/40/20-16                  15.11n ± 0%   15.23n ± 1%        ~ (p=0.107 n=15)
Div/100/50-16                 26.53n ± 0%   26.50n ± 0%        ~ (p=0.299 n=15)
Div/200/100-16                123.7n ± 0%   124.0n ± 0%        ~ (p=0.086 n=15)
Div/400/200-16                142.5n ± 0%   142.4n ± 0%        ~ (p=0.039 n=15)
Div/1000/500-16               259.9n ± 1%   261.2n ± 1%        ~ (p=0.044 n=15)
Div/2000/1000-16              539.4n ± 1%   532.3n ± 1%   -1.32% (p=0.001 n=15)
Div/20000/10000-16            22.43µ ± 0%   22.32µ ± 0%   -0.49% (p=0.000 n=15)
Div/200000/100000-16          898.3µ ± 0%   889.6µ ± 0%   -0.96% (p=0.000 n=15)
Div/2000000/1000000-16        38.37m ± 0%   35.11m ± 0%   -8.49% (p=0.000 n=15)
Div/20000000/10000000-16       1.449 ± 0%    1.384 ± 0%   -4.48% (p=0.000 n=15)
NatMul/10-16                  182.0n ± 1%   177.8n ± 1%   -2.31% (p=0.000 n=15)
NatMul/100-16                 5.537µ ± 0%   5.693µ ± 0%   +2.82% (p=0.000 n=15)
NatMul/1000-16                229.9µ ± 0%   224.8µ ± 0%   -2.24% (p=0.000 n=15)
NatMul/10000-16               8.985m ± 0%   8.751m ± 0%   -2.61% (p=0.000 n=15)
NatMul/100000-16              371.1m ± 0%   331.5m ± 0%  -10.66% (p=0.000 n=15)
NatSqr/1-16                   46.77n ± 6%   42.76n ± 1%   -8.57% (p=0.000 n=15)
NatSqr/2-16                   66.99n ± 4%   63.62n ± 1%   -5.03% (p=0.000 n=15)
NatSqr/3-16                   76.79n ± 4%   73.42n ± 1%        ~ (p=0.007 n=15)
NatSqr/5-16                   99.00n ± 3%   95.35n ± 1%   -3.69% (p=0.000 n=15)
NatSqr/8-16                   160.0n ± 3%   155.1n ± 1%   -3.06% (p=0.001 n=15)
NatSqr/10-16                  178.4n ± 2%   175.9n ± 0%   -1.40% (p=0.001 n=15)
NatSqr/20-16                  361.9n ± 2%   361.3n ± 0%        ~ (p=0.083 n=15)
NatSqr/30-16                  584.7n ± 0%   586.8n ± 0%   +0.36% (p=0.000 n=15)
NatSqr/50-16                  1.327µ ± 0%   1.329µ ± 0%        ~ (p=0.349 n=15)
NatSqr/80-16                  2.893µ ± 1%   2.925µ ± 0%   +1.11% (p=0.000 n=15)
NatSqr/100-16                 4.330µ ± 1%   4.381µ ± 0%   +1.18% (p=0.000 n=15)
NatSqr/200-16                 16.25µ ± 1%   16.43µ ± 0%   +1.07% (p=0.000 n=15)
NatSqr/300-16                 27.85µ ± 1%   28.06µ ± 0%   +0.77% (p=0.000 n=15)
NatSqr/500-16                 76.01µ ± 0%   76.34µ ± 0%        ~ (p=0.002 n=15)
NatSqr/800-16                 146.8µ ± 0%   148.1µ ± 0%   +0.83% (p=0.000 n=15)
NatSqr/1000-16                228.2µ ± 0%   228.6µ ± 0%        ~ (p=0.123 n=15)
NatSqr/10000-16               7.524m ± 0%   7.426m ± 0%   -1.31% (p=0.000 n=15)
NatSqr/100000-16              316.7m ± 0%   309.2m ± 0%   -2.36% (p=0.000 n=15)
geomean                       7.264µ        7.172µ        -1.27%

goos: darwin
goarch: arm64
pkg: math/big
cpu: Apple M3 Pro
                            │     old     │                new                 │
                            │   sec/op    │   sec/op     vs base               │
GCD10x10/WithoutXY-12         32.61n ± 1%   32.42n ± 1%       ~ (p=0.021 n=15)
GCD10x10/WithXY-12            87.70n ± 1%   88.42n ± 1%       ~ (p=0.010 n=15)
GCD100x100/WithoutXY-12       305.9n ± 0%   306.4n ± 0%       ~ (p=0.003 n=15)
GCD100x100/WithXY-12          560.3n ± 2%   556.6n ± 1%       ~ (p=0.018 n=15)
GCD1000x1000/WithoutXY-12     3.509µ ± 2%   3.464µ ± 1%       ~ (p=0.145 n=15)
GCD1000x1000/WithXY-12        5.347µ ± 2%   5.372µ ± 1%       ~ (p=0.046 n=15)
GCD10000x10000/WithoutXY-12   73.75µ ± 1%   73.99µ ± 1%       ~ (p=0.004 n=15)
GCD10000x10000/WithXY-12      148.4µ ± 0%   147.8µ ± 1%       ~ (p=0.076 n=15)
Div/20/10-12                  9.481n ± 0%   9.462n ± 1%       ~ (p=0.631 n=15)
Div/40/20-12                  9.457n ± 0%   9.462n ± 1%       ~ (p=0.798 n=15)
Div/100/50-12                 14.91n ± 0%   14.79n ± 1%  -0.80% (p=0.000 n=15)
Div/200/100-12                84.56n ± 1%   84.60n ± 1%       ~ (p=0.271 n=15)
Div/400/200-12                103.8n ± 0%   102.8n ± 0%  -0.96% (p=0.000 n=15)
Div/1000/500-12               181.3n ± 1%   184.2n ± 2%       ~ (p=0.091 n=15)
Div/2000/1000-12              397.5n ± 0%   397.4n ± 0%       ~ (p=0.299 n=15)
Div/20000/10000-12            14.04µ ± 1%   13.99µ ± 0%       ~ (p=0.221 n=15)
Div/200000/100000-12          523.1µ ± 0%   514.0µ ± 3%       ~ (p=0.775 n=15)
Div/2000000/1000000-12        21.58m ± 0%   20.01m ± 1%  -7.29% (p=0.000 n=15)
Div/20000000/10000000-12      813.5m ± 0%   796.2m ± 1%  -2.13% (p=0.000 n=15)
NatMul/10-12                  80.46n ± 1%   80.02n ± 1%       ~ (p=0.063 n=15)
NatMul/100-12                 2.904µ ± 0%   2.979µ ± 1%  +2.58% (p=0.000 n=15)
NatMul/1000-12                127.8µ ± 0%   122.3µ ± 0%  -4.28% (p=0.000 n=15)
NatMul/10000-12               5.141m ± 0%   4.975m ± 1%  -3.23% (p=0.000 n=15)
NatMul/100000-12              208.8m ± 0%   189.6m ± 3%  -9.21% (p=0.000 n=15)
NatSqr/1-12                   11.90n ± 1%   11.76n ± 1%       ~ (p=0.059 n=15)
NatSqr/2-12                   21.33n ± 1%   21.12n ± 0%       ~ (p=0.063 n=15)
NatSqr/3-12                   26.05n ± 1%   25.79n ± 0%       ~ (p=0.002 n=15)
NatSqr/5-12                   37.31n ± 0%   36.98n ± 1%       ~ (p=0.008 n=15)
NatSqr/8-12                   63.07n ± 0%   62.75n ± 1%       ~ (p=0.061 n=15)
NatSqr/10-12                  79.48n ± 0%   79.59n ± 0%       ~ (p=0.455 n=15)
NatSqr/20-12                  173.1n ± 0%   173.2n ± 1%       ~ (p=0.518 n=15)
NatSqr/30-12                  288.6n ± 1%   289.2n ± 0%       ~ (p=0.030 n=15)
NatSqr/50-12                  653.3n ± 0%   653.3n ± 0%       ~ (p=0.361 n=15)
NatSqr/80-12                  1.492µ ± 0%   1.496µ ± 0%       ~ (p=0.018 n=15)
NatSqr/100-12                 2.270µ ± 1%   2.270µ ± 0%       ~ (p=0.326 n=15)
NatSqr/200-12                 8.776µ ± 1%   8.784µ ± 1%       ~ (p=0.083 n=15)
NatSqr/300-12                 15.07µ ± 0%   15.09µ ± 0%       ~ (p=0.455 n=15)
NatSqr/500-12                 41.71µ ± 0%   41.77µ ± 1%       ~ (p=0.305 n=15)
NatSqr/800-12                 80.77µ ± 1%   80.59µ ± 0%       ~ (p=0.113 n=15)
NatSqr/1000-12                126.4µ ± 1%   126.5µ ± 0%       ~ (p=0.683 n=15)
NatSqr/10000-12               4.204m ± 0%   4.119m ± 0%  -2.02% (p=0.000 n=15)
NatSqr/100000-12              177.0m ± 0%   172.9m ± 0%  -2.31% (p=0.000 n=15)
geomean                       3.790µ        3.757µ       -0.87%

Change-Id: Ifc7a9b61f678df216690511ac8bb9143189a795e
Reviewed-on: https://go-review.googlesource.com/c/go/+/652057
Auto-Submit: Russ Cox <rsc@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Robert Griesemer <gri@google.com>
2025-03-12 05:41:17 -07:00
Russ Cox 70dcc78871 math/big: avoid negative slice size in nat.rem
In a division, normally the answer to N digits / D digits has N-D digits,
but not when N-D is negative. Fix the calculation of the number of
digits for the temporary in nat.rem not to be negative.

Fixes #72043.

Change-Id: Ib9faa430aeb6c5f4c4a730f1ec631d2bf3f7472c
Reviewed-on: https://go-review.googlesource.com/c/go/+/655156
Reviewed-by: Robert Griesemer <gri@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2025-03-06 08:08:34 -08:00
Xiaolin Zhao 6ba91df153 math: implement func archExp and archExp2 in assembly on loong64
goos: linux
goarch: loong64
pkg: math
cpu: Loongson-3A6000 @ 2500.00MHz
        |  bench.old  |              bench.new              |
        |   sec/op    |   sec/op     vs base                |
Exp       26.30n ± 0%   12.93n ± 0%  -50.85% (p=0.000 n=10)
ExpGo     26.86n ± 0%   26.92n ± 0%   +0.22% (p=0.000 n=10)
Expm1     16.76n ± 0%   16.75n ± 0%        ~ (p=0.060 n=10)
Exp2      23.05n ± 0%   12.12n ± 0%  -47.42% (p=0.000 n=10)
Exp2Go    23.41n ± 0%   23.47n ± 0%   +0.28% (p=0.000 n=10)
geomean   22.97n        17.54n       -23.64%

goos: linux
goarch: loong64
pkg: math/cmplx
cpu: Loongson-3A6000 @ 2500.00MHz
    |  bench.old  |              bench.new              |
    |   sec/op    |   sec/op     vs base                |
Exp   51.32n ± 0%   35.41n ± 0%  -30.99% (p=0.000 n=10)

goos: linux
goarch: loong64
pkg: math
cpu: Loongson-3A5000 @ 2500.00MHz
        |  bench.old  |              bench.new              |
        |   sec/op    |   sec/op     vs base                |
Exp       50.27n ± 0%   48.75n ± 1%   -3.01% (p=0.000 n=10)
ExpGo     50.72n ± 0%   50.44n ± 0%   -0.55% (p=0.000 n=10)
Expm1     28.40n ± 0%   28.32n ± 0%        ~ (p=0.360 n=10)
Exp2      50.09n ± 0%   21.49n ± 1%  -57.10% (p=0.000 n=10)
Exp2Go    50.05n ± 0%   49.69n ± 0%   -0.72% (p=0.000 n=10)
geomean   44.85n        37.52n       -16.35%

goos: linux
goarch: loong64
pkg: math/cmplx
cpu: Loongson-3A5000 @ 2500.00MHz
    |  bench.old  |              bench.new              |
    |   sec/op    |   sec/op     vs base                |
Exp   88.56n ± 0%   67.29n ± 0%  -24.03% (p=0.000 n=10)

Change-Id: I89e456d26fc075d83335ee4a31227d2aface5714
Reviewed-on: https://go-review.googlesource.com/c/go/+/653935
Reviewed-by: Junyang Shao <shaojunyang@google.com>
Reviewed-by: abner chenc <chenguoqi@loongson.cn>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Michael Pratt <mpratt@google.com>
2025-03-05 18:30:54 -08:00
Russ Cox 2b73707358 math/big: add tests for allocation during multiply
Test that big.Int.Mul reusing the same target is not allocating
temporary garbage during its computation. That code is going
to be modified in an upcoming CL.

Change-Id: I3ed55c06da030282233c29cd7af2a04f395dc7a2
Reviewed-on: https://go-review.googlesource.com/c/go/+/652056
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Alan Donovan <adonovan@google.com>
Auto-Submit: Russ Cox <rsc@golang.org>
2025-02-27 06:05:02 -08:00
Russ Cox 0ab2253ce1 math/big: move multiplication to natmul.go
No code changes.

This CL moves the multiplication (and squaring) code into natmul.go,
in preparation for cleaning up Karatsuba and then adding Toom-Cook
and FFT-based multiplication.

Change-Id: I7f84328284cc4e1ca4da0ebb9f666a5535e8d7f2
Reviewed-on: https://go-review.googlesource.com/c/go/+/652055
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Auto-Submit: Russ Cox <rsc@golang.org>
Reviewed-by: Alan Donovan <adonovan@google.com>
2025-02-27 06:05:00 -08:00
Russ Cox 1f7e28acdf math/big: optimize atoi of base 2, 4, 16
Avoid multiplies when converting base 2, 4, 16 inputs,
reducing conversion time from O(N²) to O(N).

The Base8 and Base10 code paths should be unmodified,
but the base-2,4,16 changes tickle the compiler to generate
better (amd64) or worse (arm64) when really it should not.
This is described in detail in #71868 and should be ignored
for the purposes of this CL.

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) CPU @ 3.10GHz
                      │     old      │                 new                 │
                      │    sec/op    │   sec/op     vs base                │
Scan/10/Base2-16         324.4n ± 0%   258.7n ± 0%  -20.25% (p=0.000 n=15)
Scan/100/Base2-16        2.376µ ± 0%   1.968µ ± 0%  -17.17% (p=0.000 n=15)
Scan/1000/Base2-16       23.89µ ± 0%   19.16µ ± 0%  -19.80% (p=0.000 n=15)
Scan/10000/Base2-16      311.5µ ± 0%   190.4µ ± 0%  -38.86% (p=0.000 n=15)
Scan/100000/Base2-16    10.508m ± 0%   1.904m ± 0%  -81.88% (p=0.000 n=15)
Scan/10/Base8-16         138.3n ± 0%   127.9n ± 0%   -7.52% (p=0.000 n=15)
Scan/100/Base8-16        886.1n ± 0%   790.2n ± 0%  -10.82% (p=0.000 n=15)
Scan/1000/Base8-16       9.227µ ± 0%   8.234µ ± 0%  -10.76% (p=0.000 n=15)
Scan/10000/Base8-16      165.8µ ± 0%   155.6µ ± 0%   -6.19% (p=0.000 n=15)
Scan/100000/Base8-16     9.044m ± 0%   8.935m ± 0%   -1.20% (p=0.000 n=15)
Scan/10/Base10-16        129.9n ± 0%   120.0n ± 0%   -7.62% (p=0.000 n=15)
Scan/100/Base10-16       816.3n ± 0%   730.0n ± 0%  -10.57% (p=0.000 n=15)
Scan/1000/Base10-16      8.518µ ± 0%   7.628µ ± 0%  -10.45% (p=0.000 n=15)
Scan/10000/Base10-16     158.6µ ± 0%   149.4µ ± 0%   -5.80% (p=0.000 n=15)
Scan/100000/Base10-16    8.962m ± 0%   8.855m ± 0%   -1.20% (p=0.000 n=15)
Scan/10/Base16-16        114.5n ± 0%   108.6n ± 0%   -5.15% (p=0.000 n=15)
Scan/100/Base16-16       648.3n ± 0%   525.0n ± 0%  -19.02% (p=0.000 n=15)
Scan/1000/Base16-16      7.375µ ± 0%   5.636µ ± 0%  -23.58% (p=0.000 n=15)
Scan/10000/Base16-16    171.18µ ± 0%   66.99µ ± 0%  -60.87% (p=0.000 n=15)
Scan/100000/Base16-16   9490.9µ ± 0%   682.8µ ± 0%  -92.81% (p=0.000 n=15)
geomean                  20.11µ        13.69µ       -31.94%

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) Platinum 8481C CPU @ 2.70GHz
                      │      old      │                 new                 │
                      │    sec/op     │   sec/op     vs base                │
Scan/10/Base2-88          275.4n ± 0%   215.0n ± 0%  -21.93% (p=0.000 n=15)
Scan/100/Base2-88         1.869µ ± 0%   1.629µ ± 0%  -12.84% (p=0.000 n=15)
Scan/1000/Base2-88        18.56µ ± 0%   15.81µ ± 0%  -14.82% (p=0.000 n=15)
Scan/10000/Base2-88       270.0µ ± 0%   157.2µ ± 0%  -41.77% (p=0.000 n=15)
Scan/100000/Base2-88     11.518m ± 0%   1.571m ± 0%  -86.36% (p=0.000 n=15)
Scan/10/Base8-88          108.9n ± 0%   106.0n ± 0%   -2.66% (p=0.000 n=15)
Scan/100/Base8-88         655.2n ± 0%   594.9n ± 0%   -9.20% (p=0.000 n=15)
Scan/1000/Base8-88        6.467µ ± 0%   5.966µ ± 0%   -7.75% (p=0.000 n=15)
Scan/10000/Base8-88       151.2µ ± 0%   147.4µ ± 0%   -2.53% (p=0.000 n=15)
Scan/100000/Base8-88      10.33m ± 0%   10.30m ± 0%   -0.25% (p=0.000 n=15)
Scan/10/Base10-88        100.20n ± 0%   98.53n ± 0%   -1.67% (p=0.000 n=15)
Scan/100/Base10-88        596.9n ± 0%   543.3n ± 0%   -8.98% (p=0.000 n=15)
Scan/1000/Base10-88       5.904µ ± 0%   5.485µ ± 0%   -7.10% (p=0.000 n=15)
Scan/10000/Base10-88      145.7µ ± 0%   142.0µ ± 0%   -2.55% (p=0.000 n=15)
Scan/100000/Base10-88     10.26m ± 0%   10.24m ± 0%   -0.18% (p=0.000 n=15)
Scan/10/Base16-88         90.33n ± 0%   87.60n ± 0%   -3.02% (p=0.000 n=15)
Scan/100/Base16-88        506.4n ± 0%   437.7n ± 0%  -13.57% (p=0.000 n=15)
Scan/1000/Base16-88       5.056µ ± 0%   4.007µ ± 0%  -20.75% (p=0.000 n=15)
Scan/10000/Base16-88     163.35µ ± 0%   65.37µ ± 0%  -59.98% (p=0.000 n=15)
Scan/100000/Base16-88   11027.2µ ± 0%   735.1µ ± 0%  -93.33% (p=0.000 n=15)
geomean                   17.13µ        11.74µ       -31.46%

goos: linux
goarch: arm64
pkg: math/big
                      │     old      │                 new                  │
                      │    sec/op    │    sec/op     vs base                │
Scan/10/Base2-16         324.7n ± 0%    348.4n ± 0%   +7.30% (p=0.000 n=15)
Scan/100/Base2-16        2.604µ ± 0%    3.031µ ± 0%  +16.40% (p=0.000 n=15)
Scan/1000/Base2-16       26.15µ ± 0%    29.94µ ± 0%  +14.52% (p=0.000 n=15)
Scan/10000/Base2-16      334.3µ ± 0%    298.8µ ± 0%  -10.64% (p=0.000 n=15)
Scan/100000/Base2-16    10.664m ± 0%    2.991m ± 0%  -71.95% (p=0.000 n=15)
Scan/10/Base8-16         144.4n ± 1%    162.2n ± 1%  +12.33% (p=0.000 n=15)
Scan/100/Base8-16        917.2n ± 0%   1084.0n ± 0%  +18.19% (p=0.000 n=15)
Scan/1000/Base8-16       9.367µ ± 0%   10.901µ ± 0%  +16.38% (p=0.000 n=15)
Scan/10000/Base8-16      164.2µ ± 0%    181.2µ ± 0%  +10.34% (p=0.000 n=15)
Scan/100000/Base8-16     8.871m ± 1%    9.140m ± 0%   +3.04% (p=0.000 n=15)
Scan/10/Base10-16        134.6n ± 1%    148.3n ± 1%  +10.18% (p=0.000 n=15)
Scan/100/Base10-16       837.1n ± 0%    986.6n ± 0%  +17.86% (p=0.000 n=15)
Scan/1000/Base10-16      8.563µ ± 0%    9.936µ ± 0%  +16.03% (p=0.000 n=15)
Scan/10000/Base10-16     156.5µ ± 1%    171.3µ ± 0%   +9.41% (p=0.000 n=15)
Scan/100000/Base10-16    8.863m ± 1%    9.011m ± 0%   +1.66% (p=0.000 n=15)
Scan/10/Base16-16        115.7n ± 2%    129.1n ± 1%  +11.58% (p=0.000 n=15)
Scan/100/Base16-16       708.6n ± 0%    796.8n ± 0%  +12.45% (p=0.000 n=15)
Scan/1000/Base16-16      7.314µ ± 0%    7.554µ ± 0%   +3.28% (p=0.000 n=15)
Scan/10000/Base16-16    149.05µ ± 0%    74.60µ ± 0%  -49.95% (p=0.000 n=15)
Scan/100000/Base16-16   9091.6µ ± 0%    741.5µ ± 0%  -91.84% (p=0.000 n=15)
geomean                  20.39µ         17.65µ       -13.44%

goos: darwin
goarch: arm64
pkg: math/big
cpu: Apple M3 Pro
                      │     old      │                 new                 │
                      │    sec/op    │   sec/op     vs base                │
Scan/10/Base2-12         193.8n ± 2%   157.3n ± 1%  -18.83% (p=0.000 n=15)
Scan/100/Base2-12        1.445µ ± 2%   1.362µ ± 1%   -5.74% (p=0.000 n=15)
Scan/1000/Base2-12       14.28µ ± 0%   13.51µ ± 0%   -5.42% (p=0.000 n=15)
Scan/10000/Base2-12      177.1µ ± 0%   134.6µ ± 0%  -24.04% (p=0.000 n=15)
Scan/100000/Base2-12     5.429m ± 1%   1.333m ± 0%  -75.45% (p=0.000 n=15)
Scan/10/Base8-12         75.52n ± 2%   76.09n ± 1%        ~ (p=0.010 n=15)
Scan/100/Base8-12        528.4n ± 1%   532.1n ± 1%        ~ (p=0.003 n=15)
Scan/1000/Base8-12       5.423µ ± 1%   5.427µ ± 0%        ~ (p=0.183 n=15)
Scan/10000/Base8-12      89.26µ ± 1%   89.37µ ± 0%        ~ (p=0.237 n=15)
Scan/100000/Base8-12     4.543m ± 2%   4.560m ± 1%        ~ (p=0.595 n=15)
Scan/10/Base10-12        69.87n ± 1%   70.51n ± 0%        ~ (p=0.002 n=15)
Scan/100/Base10-12       488.4n ± 1%   491.2n ± 0%        ~ (p=0.060 n=15)
Scan/1000/Base10-12      5.014µ ± 1%   5.008µ ± 0%        ~ (p=0.783 n=15)
Scan/10000/Base10-12     84.90µ ± 0%   85.10µ ± 0%        ~ (p=0.109 n=15)
Scan/100000/Base10-12    4.516m ± 1%   4.521m ± 1%        ~ (p=0.713 n=15)
Scan/10/Base16-12        59.21n ± 1%   57.70n ± 1%   -2.55% (p=0.000 n=15)
Scan/100/Base16-12       380.0n ± 1%   360.7n ± 1%   -5.08% (p=0.000 n=15)
Scan/1000/Base16-12      3.775µ ± 0%   3.421µ ± 0%   -9.38% (p=0.000 n=15)
Scan/10000/Base16-12     80.62µ ± 0%   34.44µ ± 1%  -57.28% (p=0.000 n=15)
Scan/100000/Base16-12   4826.4µ ± 2%   450.9µ ± 2%  -90.66% (p=0.000 n=15)
geomean                  11.05µ        8.448µ       -23.52%

Change-Id: Ifdb2049545f34072aa75cdbb72bed4cf465f0ad7
Reviewed-on: https://go-review.googlesource.com/c/go/+/650640
Auto-Submit: Russ Cox <rsc@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Robert Griesemer <gri@google.com>
2025-02-27 06:04:57 -08:00
Russ Cox f8f08bfd7c math/big: improve scan test and benchmark
Add a few more test cases for scanning (integer conversion),
which were helpful in debugging some upcoming changes.

BenchmarkScan currently times converting the value 10**N
represented in base B back into []Word form.
When B = 10, the text is 1 followed by many zeros, which
could hit a "multiply by zero" special case when processing
many digit chunks, misrepresenting the actual time required
depending on whether that case is optimized.

Change the benchmark to use 9**N, which is about as big and
will not cause runs of zeros in any of the tested bases.

The benchmark comparison below is not showing faster code,
since of course the code is not changing at all here. Instead,
it is showing that the new benchmark work is roughly the same
size as the old benchmark work.

goos: darwin
goarch: arm64
pkg: math/big
cpu: Apple M3 Pro
                      │     old     │                new                 │
                      │   sec/op    │   sec/op     vs base               │
ScanPi-12               43.35µ ± 1%   43.59µ ± 1%       ~ (p=0.069 n=15)
Scan/10/Base2-12        202.3n ± 2%   193.7n ± 1%  -4.25% (p=0.000 n=15)
Scan/100/Base2-12       1.512µ ± 3%   1.447µ ± 1%  -4.30% (p=0.000 n=15)
Scan/1000/Base2-12      15.06µ ± 2%   14.33µ ± 0%  -4.83% (p=0.000 n=15)
Scan/10000/Base2-12     188.0µ ± 5%   177.3µ ± 1%  -5.65% (p=0.000 n=15)
Scan/100000/Base2-12    5.814m ± 3%   5.382m ± 1%  -7.43% (p=0.000 n=15)
Scan/10/Base8-12        78.57n ± 2%   75.02n ± 1%  -4.52% (p=0.000 n=15)
Scan/100/Base8-12       548.2n ± 2%   526.8n ± 1%  -3.90% (p=0.000 n=15)
Scan/1000/Base8-12      5.674µ ± 2%   5.421µ ± 0%  -4.46% (p=0.000 n=15)
Scan/10000/Base8-12     94.42µ ± 1%   88.61µ ± 1%  -6.15% (p=0.000 n=15)
Scan/100000/Base8-12    4.906m ± 2%   4.498m ± 3%  -8.31% (p=0.000 n=15)
Scan/10/Base10-12       73.42n ± 1%   69.56n ± 0%  -5.26% (p=0.000 n=15)
Scan/100/Base10-12      511.9n ± 1%   488.2n ± 0%  -4.63% (p=0.000 n=15)
Scan/1000/Base10-12     5.254µ ± 2%   5.009µ ± 0%  -4.66% (p=0.000 n=15)
Scan/10000/Base10-12    90.22µ ± 2%   84.52µ ± 0%  -6.32% (p=0.000 n=15)
Scan/100000/Base10-12   4.842m ± 3%   4.471m ± 3%  -7.65% (p=0.000 n=15)
Scan/10/Base16-12       62.28n ± 1%   58.70n ± 1%  -5.75% (p=0.000 n=15)
Scan/100/Base16-12      398.6n ± 0%   377.9n ± 1%  -5.19% (p=0.000 n=15)
Scan/1000/Base16-12     4.108µ ± 1%   3.782µ ± 0%  -7.94% (p=0.000 n=15)
Scan/10000/Base16-12    83.78µ ± 2%   80.51µ ± 1%  -3.90% (p=0.000 n=15)
Scan/100000/Base16-12   5.080m ± 3%   4.698m ± 3%  -7.53% (p=0.000 n=15)
geomean                 12.41µ        11.74µ       -5.36%

Change-Id: If3ce290ecc7f38672f11b42fd811afb53dee665d
Reviewed-on: https://go-review.googlesource.com/c/go/+/650639
Reviewed-by: Alan Donovan <adonovan@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Auto-Submit: Russ Cox <rsc@golang.org>
2025-02-27 05:58:49 -08:00
Russ Cox 872496da2b math/big: replace nat pool with Word stack
In the early days of math/big, algorithms that needed more space
grew the result larger than it needed to be and then used the
high words as extra space. This made results their own temporary
space caches, at the cost that saving a result in a data structure
might hold significantly more memory than necessary.
Specifically, new(big.Int).Mul(x, y) returned a big.Int with a
backing slice 3X as big as it strictly needed to be.
If you are storing many multiplication results, or even a single
large result, the 3X overhead can add up.

This approach to storage for temporaries also requires being able
to analyze the algorithms to predict the exact amount they need,
which can be difficult.

For both these reasons, the implementation of recursive long division,
which came later, introduced a “nat pool” where temporaries could be
stored and reused, or reclaimed by the GC when no longer used.
This avoids the storage and bookkeeping overheads but introduces a
per-temporary sync.Pool overhead. divRecursiveStep takes an array
of cached temporaries to remove some of that overhead.
The nat pool was better but is still not quite right.

This CL introduces something even better than the nat pool
(still probably not quite right, but the best I can see for now):
a sync.Pool holding stacks for allocating temporaries.
Now an operation can get one stack out of the pool and then
allocate as many temporaries as it needs during the operation,
eventually returning the stack back to the pool. The sync.Pool
operations are now per-exported-operation (like big.Int.Mul),
not per-temporary.

This CL converts both the pre-allocation in nat.mul and the
uses of the nat pool to use stack pools instead. This simplifies
some code and sets us up better for more complex algorithms
(such as Toom-Cook or FFT-based multiplication) that need
more temporaries. It is also a little bit faster.

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) CPU @ 3.10GHz
                         │     old     │                 new                 │
                         │   sec/op    │   sec/op     vs base                │
Div/20/10-16               23.68n ± 0%   22.21n ± 0%   -6.21% (p=0.000 n=15)
Div/40/20-16               23.68n ± 0%   22.21n ± 0%   -6.21% (p=0.000 n=15)
Div/100/50-16              56.65n ± 0%   55.53n ± 0%   -1.98% (p=0.000 n=15)
Div/200/100-16             194.6n ± 1%   172.8n ± 0%  -11.20% (p=0.000 n=15)
Div/400/200-16             232.1n ± 0%   206.7n ± 0%  -10.94% (p=0.000 n=15)
Div/1000/500-16            405.3n ± 1%   383.8n ± 0%   -5.30% (p=0.000 n=15)
Div/2000/1000-16           810.4n ± 1%   795.2n ± 0%   -1.88% (p=0.000 n=15)
Div/20000/10000-16         25.88µ ± 0%   25.39µ ± 0%   -1.89% (p=0.000 n=15)
Div/200000/100000-16       931.5µ ± 0%   924.3µ ± 0%   -0.77% (p=0.000 n=15)
Div/2000000/1000000-16     37.77m ± 0%   37.75m ± 0%        ~ (p=0.098 n=15)
Div/20000000/10000000-16    1.367 ± 0%    1.377 ± 0%   +0.72% (p=0.003 n=15)
NatMul/10-16               168.5n ± 3%   164.0n ± 4%        ~ (p=0.751 n=15)
NatMul/100-16              6.086µ ± 3%   5.380µ ± 3%  -11.60% (p=0.000 n=15)
NatMul/1000-16             238.1µ ± 3%   228.3µ ± 1%   -4.12% (p=0.000 n=15)
NatMul/10000-16            8.721m ± 2%   8.518m ± 1%   -2.33% (p=0.000 n=15)
NatMul/100000-16           369.6m ± 0%   371.1m ± 0%   +0.42% (p=0.000 n=15)
geomean                    19.57µ        18.74µ        -4.21%

                 │     old      │                  new                   │
                 │     B/op     │     B/op      vs base                  │
NatMul/10-16         192.0 ± 0%     192.0 ± 0%        ~ (p=1.000 n=15) ¹
NatMul/100-16      4.750Ki ± 0%   1.751Ki ± 0%  -63.14% (p=0.000 n=15)
NatMul/1000-16     48.16Ki ± 0%   16.02Ki ± 0%  -66.73% (p=0.000 n=15)
NatMul/10000-16    482.9Ki ± 1%   165.4Ki ± 3%  -65.75% (p=0.000 n=15)
NatMul/100000-16   5.747Mi ± 7%   4.197Mi ± 0%  -26.97% (p=0.000 n=15)
geomean            41.42Ki        20.63Ki       -50.18%
¹ all samples are equal

                 │     old     │                 new                  │
                 │  allocs/op  │  allocs/op   vs base                 │
NatMul/10-16       1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/100-16      1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/1000-16     1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/10000-16    1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/100000-16   7.000 ± 14%   7.000 ± 14%       ~ (p=0.668 n=15)
geomean            1.476         1.476        +0.00%
¹ all samples are equal

goos: linux
goarch: amd64
pkg: math/big
cpu: Intel(R) Xeon(R) Platinum 8481C CPU @ 2.70GHz
                         │     old     │                 new                 │
                         │   sec/op    │   sec/op     vs base                │
Div/20/10-88               15.84n ± 1%   13.12n ± 0%  -17.17% (p=0.000 n=15)
Div/40/20-88               15.88n ± 1%   13.12n ± 0%  -17.38% (p=0.000 n=15)
Div/100/50-88              26.42n ± 0%   25.47n ± 0%   -3.60% (p=0.000 n=15)
Div/200/100-88             132.4n ± 0%   114.9n ± 0%  -13.22% (p=0.000 n=15)
Div/400/200-88             150.1n ± 0%   135.6n ± 0%   -9.66% (p=0.000 n=15)
Div/1000/500-88            275.5n ± 0%   264.1n ± 0%   -4.14% (p=0.000 n=15)
Div/2000/1000-88           586.5n ± 0%   581.1n ± 0%   -0.92% (p=0.000 n=15)
Div/20000/10000-88         25.87µ ± 0%   25.72µ ± 0%   -0.59% (p=0.000 n=15)
Div/200000/100000-88       772.2µ ± 0%   779.0µ ± 0%   +0.88% (p=0.000 n=15)
Div/2000000/1000000-88     33.36m ± 0%   33.63m ± 0%   +0.80% (p=0.000 n=15)
Div/20000000/10000000-88    1.307 ± 0%    1.320 ± 0%   +1.03% (p=0.000 n=15)
NatMul/10-88               140.4n ± 0%   148.8n ± 4%   +5.98% (p=0.000 n=15)
NatMul/100-88              4.663µ ± 1%   4.388µ ± 1%   -5.90% (p=0.000 n=15)
NatMul/1000-88             207.7µ ± 0%   205.8µ ± 0%   -0.89% (p=0.000 n=15)
NatMul/10000-88            8.456m ± 0%   8.468m ± 0%   +0.14% (p=0.021 n=15)
NatMul/100000-88           295.1m ± 0%   297.9m ± 0%   +0.94% (p=0.000 n=15)
geomean                    14.96µ        14.33µ        -4.23%

                 │     old      │                   new                   │
                 │     B/op     │     B/op       vs base                  │
NatMul/10-88         192.0 ± 0%     192.0 ±  0%        ~ (p=1.000 n=15) ¹
NatMul/100-88      4.750Ki ± 0%   1.758Ki ±  0%  -62.99% (p=0.000 n=15)
NatMul/1000-88     48.44Ki ± 0%   16.08Ki ±  0%  -66.80% (p=0.000 n=15)
NatMul/10000-88    489.7Ki ± 1%   166.1Ki ±  3%  -66.08% (p=0.000 n=15)
NatMul/100000-88   5.546Mi ± 0%   3.819Mi ± 60%  -31.15% (p=0.000 n=15)
geomean            41.29Ki        20.30Ki        -50.85%
¹ all samples are equal

                 │     old     │                 new                  │
                 │  allocs/op  │  allocs/op   vs base                 │
NatMul/10-88       1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/100-88      1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/1000-88     1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/10000-88    1.000 ±  0%   1.000 ±  0%       ~ (p=1.000 n=15) ¹
NatMul/100000-88   5.000 ± 20%   6.000 ± 67%       ~ (p=0.672 n=15)
geomean            1.380         1.431        +3.71%
¹ all samples are equal

goos: linux
goarch: arm64
pkg: math/big
                         │     old     │                 new                 │
                         │   sec/op    │   sec/op     vs base                │
Div/20/10-16               15.85n ± 0%   15.23n ± 0%   -3.91% (p=0.000 n=15)
Div/40/20-16               15.88n ± 0%   15.22n ± 0%   -4.16% (p=0.000 n=15)
Div/100/50-16              29.69n ± 0%   26.39n ± 0%  -11.11% (p=0.000 n=15)
Div/200/100-16             149.2n ± 0%   123.3n ± 0%  -17.36% (p=0.000 n=15)
Div/400/200-16             160.3n ± 0%   139.2n ± 0%  -13.16% (p=0.000 n=15)
Div/1000/500-16            271.0n ± 0%   256.1n ± 0%   -5.50% (p=0.000 n=15)
Div/2000/1000-16           545.3n ± 0%   527.0n ± 0%   -3.36% (p=0.000 n=15)
Div/20000/10000-16         22.60µ ± 0%   22.20µ ± 0%   -1.77% (p=0.000 n=15)
Div/200000/100000-16       889.0µ ± 0%   892.2µ ± 0%   +0.35% (p=0.000 n=15)
Div/2000000/1000000-16     38.01m ± 0%   38.12m ± 0%   +0.30% (p=0.000 n=15)
Div/20000000/10000000-16    1.437 ± 0%    1.444 ± 0%   +0.50% (p=0.000 n=15)
NatMul/10-16               166.4n ± 2%   169.5n ± 1%   +1.86% (p=0.000 n=15)
NatMul/100-16              5.733µ ± 1%   5.570µ ± 1%   -2.84% (p=0.000 n=15)
NatMul/1000-16             232.6µ ± 1%   229.8µ ± 0%   -1.22% (p=0.000 n=15)
NatMul/10000-16            9.039m ± 1%   8.969m ± 0%   -0.77% (p=0.000 n=15)
NatMul/100000-16           367.0m ± 0%   368.8m ± 0%   +0.48% (p=0.000 n=15)
geomean                    16.15µ        15.50µ        -4.01%

                 │     old      │                  new                   │
                 │     B/op     │     B/op      vs base                  │
NatMul/10-16         192.0 ± 0%     192.0 ± 0%        ~ (p=1.000 n=15) ¹
NatMul/100-16      4.750Ki ± 0%   1.751Ki ± 0%  -63.14% (p=0.000 n=15)
NatMul/1000-16     48.33Ki ± 0%   16.02Ki ± 0%  -66.85% (p=0.000 n=15)
NatMul/10000-16    536.5Ki ± 1%   165.7Ki ± 3%  -69.12% (p=0.000 n=15)
NatMul/100000-16   6.078Mi ± 6%   4.197Mi ± 0%  -30.94% (p=0.000 n=15)
geomean            42.81Ki        20.64Ki       -51.78%
¹ all samples are equal

                 │     old     │                  new                  │
                 │  allocs/op  │  allocs/op   vs base                  │
NatMul/10-16       1.000 ±  0%   1.000 ±  0%        ~ (p=1.000 n=15) ¹
NatMul/100-16      1.000 ±  0%   1.000 ±  0%        ~ (p=1.000 n=15) ¹
NatMul/1000-16     1.000 ±  0%   1.000 ±  0%        ~ (p=1.000 n=15) ¹
NatMul/10000-16    2.000 ± 50%   1.000 ±  0%  -50.00% (p=0.001 n=15)
NatMul/100000-16   9.000 ± 11%   8.000 ± 12%  -11.11% (p=0.001 n=15)
geomean            1.783         1.516        -14.97%
¹ all samples are equal

goos: darwin
goarch: arm64
pkg: math/big
cpu: Apple M3 Pro
                         │     old      │                new                 │
                         │    sec/op    │   sec/op     vs base               │
Div/20/10-12                9.850n ± 1%   9.405n ± 1%  -4.52% (p=0.000 n=15)
Div/40/20-12                9.858n ± 0%   9.403n ± 1%  -4.62% (p=0.000 n=15)
Div/100/50-12               16.40n ± 1%   14.81n ± 0%  -9.70% (p=0.000 n=15)
Div/200/100-12              88.48n ± 2%   80.88n ± 0%  -8.59% (p=0.000 n=15)
Div/400/200-12             107.90n ± 1%   99.28n ± 1%  -7.99% (p=0.000 n=15)
Div/1000/500-12             188.8n ± 1%   178.6n ± 1%  -5.40% (p=0.000 n=15)
Div/2000/1000-12            399.9n ± 0%   389.1n ± 0%  -2.70% (p=0.000 n=15)
Div/20000/10000-12          13.94µ ± 2%   13.81µ ± 1%       ~ (p=0.574 n=15)
Div/200000/100000-12        523.8µ ± 0%   521.7µ ± 0%  -0.40% (p=0.000 n=15)
Div/2000000/1000000-12      21.46m ± 0%   21.48m ± 0%       ~ (p=0.067 n=15)
Div/20000000/10000000-12    812.5m ± 0%   812.9m ± 0%       ~ (p=0.061 n=15)
NatMul/10-12                77.14n ± 0%   78.35n ± 1%  +1.57% (p=0.000 n=15)
NatMul/100-12               2.999µ ± 0%   2.871µ ± 1%  -4.27% (p=0.000 n=15)
NatMul/1000-12              126.2µ ± 0%   126.8µ ± 0%  +0.51% (p=0.011 n=15)
NatMul/10000-12             5.099m ± 0%   5.125m ± 0%  +0.51% (p=0.000 n=15)
NatMul/100000-12            206.7m ± 0%   208.4m ± 0%  +0.80% (p=0.000 n=15)
geomean                     9.512µ        9.236µ       -2.91%

                 │     old      │                   new                    │
                 │     B/op     │      B/op       vs base                  │
NatMul/10-12         192.0 ± 0%     192.0 ±   0%        ~ (p=1.000 n=15) ¹
NatMul/100-12      4.750Ki ± 0%   1.750Ki ±   0%  -63.16% (p=0.000 n=15)
NatMul/1000-12     48.13Ki ± 0%   16.01Ki ±   0%  -66.73% (p=0.000 n=15)
NatMul/10000-12    483.5Ki ± 1%   163.2Ki ±   2%  -66.24% (p=0.000 n=15)
NatMul/100000-12   5.480Mi ± 4%   1.532Mi ± 104%  -72.05% (p=0.000 n=15)
geomean            41.03Ki        16.82Ki         -59.01%
¹ all samples are equal

                 │    old     │                  new                   │
                 │ allocs/op  │  allocs/op    vs base                  │
NatMul/10-12       1.000 ± 0%   1.000 ±   0%        ~ (p=1.000 n=15) ¹
NatMul/100-12      1.000 ± 0%   1.000 ±   0%        ~ (p=1.000 n=15) ¹
NatMul/1000-12     1.000 ± 0%   1.000 ±   0%        ~ (p=1.000 n=15) ¹
NatMul/10000-12    1.000 ± 0%   1.000 ±   0%        ~ (p=1.000 n=15) ¹
NatMul/100000-12   5.000 ± 0%   1.000 ± 400%  -80.00% (p=0.007 n=15)
geomean            1.380        1.000         -27.52%
¹ all samples are equal

Change-Id: I7efa6fe37971ed26ae120a32250fcb47ece0a011
Reviewed-on: https://go-review.googlesource.com/c/go/+/650638
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Auto-Submit: Russ Cox <rsc@golang.org>
Reviewed-by: Ian Lance Taylor <iant@google.com>
Reviewed-by: Alan Donovan <adonovan@google.com>
2025-02-27 05:58:09 -08:00
Russ Cox 763766e9ab math/big: report allocs in BenchmarkNatMul, BenchmarkNatSqr
Change-Id: I112f55c0e3ee3b75e615a06b27552de164565c04
Reviewed-on: https://go-review.googlesource.com/c/go/+/650637
Reviewed-by: Robert Griesemer <gri@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Ian Lance Taylor <iant@google.com>
Auto-Submit: Russ Cox <rsc@golang.org>
2025-02-27 05:50:45 -08:00
Russ Cox b66d83ccea math/big: clean up GCD a little
The GCD code was setting one *Int to the value of another
by smashing one struct on top of the other, instead of using Set.
That was safe in this one case, but it's not idiomatic in math/big
nor safe in general, so rewrite the code not to do that.
(In one case, by swapping variables around; in another, by calling Set.)

The added Set call does slow down GCDs by a small amount,
since the answer has to be copied out. To compensate for that,
optimize a bit: remove the s, t temporaries entirely and handle
vector x word multiplication directly. The net result is that almost
all GCDs are faster, except for small ones, which are a few
nanoseconds slower.

goos: darwin
goarch: arm64
pkg: math/big
cpu: Apple M3 Pro
                              │ bench.before │             bench.after             │
                              │    sec/op    │   sec/op     vs base                │
GCD10x10/WithoutXY-12            23.80n ± 1%   31.71n ± 1%  +33.24% (p=0.000 n=10)
GCD10x10/WithXY-12              100.40n ± 0%   92.14n ± 1%   -8.22% (p=0.000 n=10)
GCD10x100/WithoutXY-12           63.70n ± 0%   70.73n ± 0%  +11.05% (p=0.000 n=10)
GCD10x100/WithXY-12              278.6n ± 0%   233.1n ± 1%  -16.35% (p=0.000 n=10)
GCD10x1000/WithoutXY-12          153.4n ± 0%   162.2n ± 1%   +5.74% (p=0.000 n=10)
GCD10x1000/WithXY-12             456.0n ± 0%   411.8n ± 1%   -9.69% (p=0.000 n=10)
GCD10x10000/WithoutXY-12         1.002µ ± 1%   1.036µ ± 0%   +3.39% (p=0.000 n=10)
GCD10x10000/WithXY-12            2.330µ ± 1%   2.210µ ± 0%   -5.13% (p=0.000 n=10)
GCD10x100000/WithoutXY-12        8.894µ ± 0%   8.889µ ± 1%        ~ (p=0.754 n=10)
GCD10x100000/WithXY-12           20.84µ ± 0%   20.24µ ± 0%   -2.84% (p=0.000 n=10)
GCD100x100/WithoutXY-12          373.3n ± 3%   314.4n ± 0%  -15.76% (p=0.000 n=10)
GCD100x100/WithXY-12             662.5n ± 0%   572.4n ± 1%  -13.59% (p=0.000 n=10)
GCD100x1000/WithoutXY-12         641.8n ± 0%   598.1n ± 1%   -6.81% (p=0.000 n=10)
GCD100x1000/WithXY-12            1.123µ ± 0%   1.019µ ± 1%   -9.26% (p=0.000 n=10)
GCD100x10000/WithoutXY-12        2.870µ ± 0%   2.831µ ± 0%   -1.38% (p=0.000 n=10)
GCD100x10000/WithXY-12           4.930µ ± 1%   4.675µ ± 0%   -5.16% (p=0.000 n=10)
GCD100x100000/WithoutXY-12       24.08µ ± 0%   23.97µ ± 0%   -0.48% (p=0.007 n=10)
GCD100x100000/WithXY-12          43.66µ ± 0%   42.52µ ± 0%   -2.61% (p=0.001 n=10)
GCD1000x1000/WithoutXY-12        3.999µ ± 0%   3.569µ ± 1%  -10.75% (p=0.000 n=10)
GCD1000x1000/WithXY-12           6.397µ ± 0%   5.534µ ± 0%  -13.49% (p=0.000 n=10)
GCD1000x10000/WithoutXY-12       6.875µ ± 0%   6.450µ ± 0%   -6.18% (p=0.000 n=10)
GCD1000x10000/WithXY-12          20.75µ ± 1%   19.17µ ± 1%   -7.64% (p=0.000 n=10)
GCD1000x100000/WithoutXY-12      36.38µ ± 0%   35.60µ ± 1%   -2.13% (p=0.000 n=10)
GCD1000x100000/WithXY-12         172.1µ ± 0%   174.4µ ± 3%        ~ (p=0.052 n=10)
GCD10000x10000/WithoutXY-12      79.89µ ± 1%   75.16µ ± 2%   -5.92% (p=0.000 n=10)
GCD10000x10000/WithXY-12         160.1µ ± 0%   150.0µ ± 0%   -6.33% (p=0.000 n=10)
GCD10000x100000/WithoutXY-12     213.2µ ± 1%   209.0µ ± 1%   -1.98% (p=0.000 n=10)
GCD10000x100000/WithXY-12        1.399m ± 0%   1.342m ± 3%   -4.08% (p=0.002 n=10)
GCD100000x100000/WithoutXY-12    5.463m ± 1%   5.504m ± 2%        ~ (p=0.190 n=10)
GCD100000x100000/WithXY-12       11.36m ± 0%   11.46m ± 1%   +0.86% (p=0.000 n=10)
geomean                          6.953µ        6.695µ        -3.71%

goos: linux
goarch: amd64
pkg: math/big
cpu: AMD Ryzen 9 7950X 16-Core Processor
                              │ bench.before │             bench.after             │
                              │    sec/op    │   sec/op     vs base                │
GCD10x10/WithoutXY-32           39.66n ±  4%   44.34n ± 4%  +11.77% (p=0.000 n=10)
GCD10x10/WithXY-32              156.7n ± 12%   130.8n ± 2%  -16.53% (p=0.000 n=10)
GCD10x100/WithoutXY-32          115.8n ±  5%   120.2n ± 2%   +3.89% (p=0.000 n=10)
GCD10x100/WithXY-32             465.3n ±  3%   368.1n ± 2%  -20.91% (p=0.000 n=10)
GCD10x1000/WithoutXY-32         201.1n ±  1%   210.8n ± 2%   +4.82% (p=0.000 n=10)
GCD10x1000/WithXY-32            652.9n ±  4%   605.0n ± 1%   -7.32% (p=0.002 n=10)
GCD10x10000/WithoutXY-32        1.046µ ±  2%   1.143µ ± 1%   +9.33% (p=0.000 n=10)
GCD10x10000/WithXY-32           3.360µ ±  1%   3.258µ ± 1%   -3.04% (p=0.000 n=10)
GCD10x100000/WithoutXY-32       9.391µ ±  3%   9.997µ ± 1%   +6.46% (p=0.000 n=10)
GCD10x100000/WithXY-32          27.92µ ±  1%   28.21µ ± 0%   +1.04% (p=0.043 n=10)
GCD100x100/WithoutXY-32         443.7n ±  5%   320.0n ± 2%  -27.88% (p=0.000 n=10)
GCD100x100/WithXY-32            789.9n ±  2%   690.4n ± 1%  -12.60% (p=0.000 n=10)
GCD100x1000/WithoutXY-32        718.4n ±  3%   600.0n ± 1%  -16.48% (p=0.000 n=10)
GCD100x1000/WithXY-32           1.388µ ±  4%   1.175µ ± 1%  -15.28% (p=0.000 n=10)
GCD100x10000/WithoutXY-32       2.750µ ±  1%   2.668µ ± 1%   -2.96% (p=0.000 n=10)
GCD100x10000/WithXY-32          6.016µ ±  1%   5.590µ ± 1%   -7.09% (p=0.000 n=10)
GCD100x100000/WithoutXY-32      21.40µ ±  1%   22.30µ ± 1%   +4.21% (p=0.000 n=10)
GCD100x100000/WithXY-32         47.02µ ±  4%   48.80µ ± 0%   +3.78% (p=0.015 n=10)
GCD1000x1000/WithoutXY-32       3.417µ ±  4%   3.020µ ± 1%  -11.65% (p=0.000 n=10)
GCD1000x1000/WithXY-32          5.752µ ±  0%   5.418µ ± 2%   -5.81% (p=0.000 n=10)
GCD1000x10000/WithoutXY-32      6.150µ ±  0%   6.246µ ± 1%   +1.55% (p=0.000 n=10)
GCD1000x10000/WithXY-32         24.68µ ±  3%   25.07µ ± 1%        ~ (p=0.051 n=10)
GCD1000x100000/WithoutXY-32     34.60µ ±  2%   36.85µ ± 1%   +6.51% (p=0.000 n=10)
GCD1000x100000/WithXY-32        209.5µ ±  4%   227.4µ ± 0%   +8.56% (p=0.000 n=10)
GCD10000x10000/WithoutXY-32     90.69µ ±  0%   88.48µ ± 0%   -2.44% (p=0.000 n=10)
GCD10000x10000/WithXY-32        197.1µ ±  0%   200.5µ ± 0%   +1.73% (p=0.000 n=10)
GCD10000x100000/WithoutXY-32    239.1µ ±  0%   242.5µ ± 0%   +1.42% (p=0.000 n=10)
GCD10000x100000/WithXY-32       1.963m ±  3%   2.028m ± 0%   +3.28% (p=0.000 n=10)
GCD100000x100000/WithoutXY-32   7.466m ±  0%   7.412m ± 0%   -0.71% (p=0.000 n=10)
GCD100000x100000/WithXY-32      16.10m ±  2%   16.47m ± 0%   +2.25% (p=0.000 n=10)
geomean                         8.388µ         8.127µ        -3.12%

Change-Id: I161dc409bad11bcc553bc8116449905ae5b06742
Reviewed-on: https://go-review.googlesource.com/c/go/+/650636
Reviewed-by: Robert Griesemer <gri@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Alan Donovan <adonovan@google.com>
Auto-Submit: Russ Cox <rsc@golang.org>
2025-02-27 05:49:50 -08:00
qmuntal f707e53fd5 all: surround -test.run arguments with ^$
If the -test.run value is not surrounded by ^$ then any test that
matches the -test.run value will be run. This is normally not the
desired behavior, as it can lead to unexpected tests being run.

Change-Id: I3447aaebad5156bbef7f263cdb9f6b8c32331324
Reviewed-on: https://go-review.googlesource.com/c/go/+/651956
Reviewed-by: Cherry Mui <cherryyz@google.com>
Reviewed-by: Ian Lance Taylor <iant@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2025-02-25 10:58:29 -08:00
Eng Zer Jun cc874072f3 math/big: use built-in max function
Change-Id: I65721039dab311762e55c6a60dd75b82f6b4622f
Reviewed-on: https://go-review.googlesource.com/c/go/+/642335
Reviewed-by: Ian Lance Taylor <iant@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Robert Griesemer <gri@google.com>
Auto-Submit: Ian Lance Taylor <iant@google.com>
2025-02-03 08:25:31 -08:00
Sean Liao 32ff485c7c math/bits: update reference to debruijn paper
The old link no longer works.

Fixes #70684

Change-Id: I8711ef7d5721bf20ef83f5192dd0d1f73dda6ce1
Reviewed-on: https://go-review.googlesource.com/c/go/+/633775
Auto-Submit: Ian Lance Taylor <iant@golang.org>
Reviewed-by: Keith Randall <khr@golang.org>
Reviewed-by: Michael Knyszek <mknyszek@google.com>
Reviewed-by: Keith Randall <khr@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-12-04 22:15:36 +00:00
Jorropo 4c3aa5d324 math/rand/v2: replace <= 0 with == 0 for Uint function docs
This harmonize the docs with (*Rand).Uint* functions.
And it make it clearer, I wasn't sure if it would try to interpret
the uint as a signed number somehow, it does not pull any surprises
make that clear.

Change-Id: I5a87a0a5563dbabfc31e536e40ee69b11f5cb6cf
Reviewed-on: https://go-review.googlesource.com/c/go/+/633535
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Commit-Queue: Ian Lance Taylor <iant@google.com>
Reviewed-by: Ian Lance Taylor <iant@google.com>
Auto-Submit: Ian Lance Taylor <iant@google.com>
Reviewed-by: Robert Griesemer <gri@google.com>
2024-12-04 16:34:07 +00:00
Russ Cox a947912d8a internal/byteorder: use canonical Go casing in names
If Be and Le stand for big-endian and little-endian,
then they should be BE and LE.

Change-Id: I723e3962b8918da84791783d3c547638f1c9e8a9
Reviewed-on: https://go-review.googlesource.com/c/go/+/627376
Reviewed-by: Robert Griesemer <gri@google.com>
Auto-Submit: Russ Cox <rsc@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-11-20 20:59:28 +00:00
Adam f7a14ae0cd math/big: properly linkify a reference
Change-Id: Ie7649060db25f1573eeaadd534a600bb24d30572
GitHub-Last-Rev: c617848a4e
GitHub-Pull-Request: golang/go#70134
Reviewed-on: https://go-review.googlesource.com/c/go/+/623757
Reviewed-by: Carlos Amedee <carlos@golang.org>
Reviewed-by: Robert Griesemer <gri@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Auto-Submit: Robert Griesemer <gri@google.com>
2024-10-31 19:23:59 +00:00
Xiaolin Zhao b521ebb55a math: implement arch{Floor, Ceil, Trunc} in hardware on loong64
benchmark:

goos: linux
goarch: loong64
pkg: math
cpu: Loongson-3A6000 @ 2500.00MHz
        │  bench.old   │              bench.new              │
        │    sec/op    │   sec/op     vs base                │
Ceil      10.810n ± 0%   2.578n ± 0%  -76.15% (p=0.000 n=20)
Floor     10.810n ± 0%   2.531n ± 0%  -76.59% (p=0.000 n=20)
Trunc      9.606n ± 0%   2.530n ± 0%  -73.67% (p=0.000 n=20)
geomean    10.39n        2.546n       -75.50%

goos: linux
goarch: loong64
pkg: math
cpu: Loongson-3A5000 @ 2500.00MHz
        │  bench.old   │              bench.new              │
        │    sec/op    │   sec/op     vs base                │
Ceil      13.220n ± 0%   7.703n ± 8%  -41.73% (p=0.000 n=20)
Floor     12.410n ± 0%   7.248n ± 2%  -41.59% (p=0.000 n=20)
Trunc     11.210n ± 0%   7.757n ± 4%  -30.80% (p=0.000 n=20)
geomean    12.25n        7.566n       -38.25%

Change-Id: I3af51e9852e9cf5f965fed895d68945a2e8675f4
Reviewed-on: https://go-review.googlesource.com/c/go/+/612615
Reviewed-by: Michael Knyszek <mknyszek@google.com>
Reviewed-by: Cherry Mui <cherryyz@google.com>
Reviewed-by: abner chenc <chenguoqi@loongson.cn>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-10-12 03:24:22 +00:00
Robert Griesemer aa06c94054 math/big: add clarifying (internal) comment
Follow-up on CL 467555.

Change-Id: I1815b5def656ae4b86c31385ad0737f0465fa2d6
Reviewed-on: https://go-review.googlesource.com/c/go/+/613535
Auto-Submit: Robert Griesemer <gri@google.com>
TryBot-Bypass: Robert Griesemer <gri@google.com>
Reviewed-by: Robert Griesemer <gri@google.com>
Reviewed-by: Tim King <taking@google.com>
2024-09-16 19:10:55 +00:00
Joel Sing 5367d696f7 math/big: simplify divBasic ujn assignment
Rather than conditionally assigning ujn, initialise ujn above the
loop to invent the leading 0 for u, then unconditionally load ujn
at the bottom of the loop. This code operates on the basis that
n >= 2, hence j+n-1 is always greater than zero.

Change-Id: I1272ef30c787ed8707ae8421af2adcccc776d389
Reviewed-on: https://go-review.googlesource.com/c/go/+/467555
Auto-Submit: Robert Griesemer <gri@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Commit-Queue: Robert Griesemer <gri@google.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Reviewed-by: Robert Griesemer <gri@google.com>
2024-09-16 17:33:18 +00:00
Meng Zhuo 90391c2e8a math: add round assembly implementations on riscv64
This CL reapplies CL 504737 and adds integer precision
limitation check, since CL 504737 only checks whether
floating point number is +-Inf or NaN.

This CL is also ~7% faster than CL 504737.

Updates #68322

goos: linux
goarch: riscv64
pkg: math
            │ math.old.bench │           math.new.bench            │
            │     sec/op     │   sec/op     vs base                │
Ceil             54.09n ± 0%   18.72n ± 0%  -65.39% (p=0.000 n=10)
Floor            40.72n ± 0%   18.72n ± 0%  -54.03% (p=0.000 n=10)
Round            20.73n ± 0%   20.73n ± 0%        ~ (p=1.000 n=10)
RoundToEven      24.07n ± 0%   24.07n ± 0%        ~ (p=1.000 n=10)
Trunc            38.72n ± 0%   18.72n ± 0%  -51.65% (p=0.000 n=10)
geomean          33.56n        20.09n       -40.13%

Change-Id: I06cfe2cb9e2535cd705d40b6650a7e71fedd906c
Reviewed-on: https://go-review.googlesource.com/c/go/+/600075
Reviewed-by: Keith Randall <khr@golang.org>
Reviewed-by: Joel Sing <joel@sing.id.au>
Reviewed-by: Keith Randall <khr@google.com>
Reviewed-by: Michael Knyszek <mknyszek@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-09-11 02:28:10 +00:00
cuishuang cc912bd8eb all: remove unnecessary symbols and add missing symbols
Change-Id: I535a7aaaf3f9e8a9c0e0c04f8f745ad7445a32f7
Reviewed-on: https://go-review.googlesource.com/c/go/+/611678
Run-TryBot: shuang cui <imcusg@gmail.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Auto-Submit: Dmitri Shuralyov <dmitshur@golang.org>
TryBot-Result: Gopher Robot <gobot@golang.org>
Reviewed-by: Robert Griesemer <gri@google.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@golang.org>
2024-09-09 16:44:45 +00:00
Meng Zhuo 3473d2f8ef math: add large exact float rounding tests
This CL adds trunc,ceil,floor tests for large exact float.

Change-Id: Ib7ffec1d2d50d2ac955398a3dd0fd06d494fcf4f
Reviewed-on: https://go-review.googlesource.com/c/go/+/601095
Auto-Submit: Keith Randall <khr@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Keith Randall <khr@google.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
2024-09-04 13:36:10 +00:00
nlwkobe30 7cd0a4be5c all: omit unnecessary 0 in slice expression
All changes are related to the code, except for the comments in src/regexp/syntax/parse.go and src/slices/slices.go.

Change-Id: I73c5d3c54099749b62210aa7f3182c5eb84bb6a6
GitHub-Last-Rev: 794aa9b053
GitHub-Pull-Request: golang/go#69170
Reviewed-on: https://go-review.googlesource.com/c/go/+/609678
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Ian Lance Taylor <iant@google.com>
Auto-Submit: Ian Lance Taylor <iant@google.com>
2024-09-03 20:55:15 +00:00
Kir Kolyshkin c3f346a485 math,os,os/*: use testenv.Executable
As some callers don't have a testing context, modify testenv.Executable
to accept nil (similar to how testenv.GOROOT works).

Change-Id: I39112a7869933785a26b5cb6520055b3cc42b847
Reviewed-on: https://go-review.googlesource.com/c/go/+/609835
Reviewed-by: Ian Lance Taylor <iant@google.com>
Auto-Submit: Ian Lance Taylor <iant@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
2024-09-03 20:11:30 +00:00
Joel Sing 2cee5d8109 math/big: implement addMulVVW in riscv64 assembly
This provides an assembly implementation of addMulVVW for riscv64,
processing up to four words per loop, resulting in a significant
performance gain.

On a StarFive VisionFive 2:

                   │ addmulvvw.1  │             addmulvvw.2             │
                   │    sec/op    │   sec/op     vs base                │
AddMulVVW/1-4         65.49n ± 0%   50.79n ± 0%  -22.44% (p=0.000 n=10)
AddMulVVW/2-4         82.81n ± 0%   66.83n ± 0%  -19.29% (p=0.000 n=10)
AddMulVVW/3-4        100.20n ± 0%   82.87n ± 0%  -17.30% (p=0.000 n=10)
AddMulVVW/4-4        117.50n ± 0%   84.20n ± 0%  -28.34% (p=0.000 n=10)
AddMulVVW/5-4         134.9n ± 0%   100.3n ± 0%  -25.69% (p=0.000 n=10)
AddMulVVW/10-4        221.7n ± 0%   164.4n ± 0%  -25.85% (p=0.000 n=10)
AddMulVVW/100-4       1.794µ ± 0%   1.250µ ± 0%  -30.32% (p=0.000 n=10)
AddMulVVW/1000-4      17.42µ ± 0%   12.08µ ± 0%  -30.68% (p=0.000 n=10)
AddMulVVW/10000-4     254.9µ ± 0%   214.8µ ± 0%  -15.75% (p=0.000 n=10)
AddMulVVW/100000-4    2.569m ± 0%   2.178m ± 0%  -15.20% (p=0.000 n=10)
geomean               1.443µ        1.107µ       -23.29%

                   │ addmulvvw.1  │              addmulvvw.2              │
                   │     B/s      │      B/s       vs base                │
AddMulVVW/1-4        932.0Mi ± 0%   1201.6Mi ± 0%  +28.93% (p=0.000 n=10)
AddMulVVW/2-4        1.440Gi ± 0%    1.784Gi ± 0%  +23.90% (p=0.000 n=10)
AddMulVVW/3-4        1.785Gi ± 0%    2.158Gi ± 0%  +20.87% (p=0.000 n=10)
AddMulVVW/4-4        2.029Gi ± 0%    2.832Gi ± 0%  +39.59% (p=0.000 n=10)
AddMulVVW/5-4        2.209Gi ± 0%    2.973Gi ± 0%  +34.55% (p=0.000 n=10)
AddMulVVW/10-4       2.689Gi ± 0%    3.626Gi ± 0%  +34.86% (p=0.000 n=10)
AddMulVVW/100-4      3.323Gi ± 0%    4.770Gi ± 0%  +43.54% (p=0.000 n=10)
AddMulVVW/1000-4     3.421Gi ± 0%    4.936Gi ± 0%  +44.27% (p=0.000 n=10)
AddMulVVW/10000-4    2.338Gi ± 0%    2.776Gi ± 0%  +18.69% (p=0.000 n=10)
AddMulVVW/100000-4   2.320Gi ± 0%    2.736Gi ± 0%  +17.93% (p=0.000 n=10)
geomean              2.109Gi         2.749Gi       +30.36%

Change-Id: I6c7ee48233c53ff9b6a5a9002675886cd9bff5af
Reviewed-on: https://go-review.googlesource.com/c/go/+/595400
Reviewed-by: Meng Zhuo <mengzhuo1203@gmail.com>
Reviewed-by: Cherry Mui <cherryyz@google.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Reviewed-by: Mark Ryan <markdryan@rivosinc.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-08-23 10:41:28 +00:00
Joel Sing 86cd5c4034 math/big: implement mulAddVWW in riscv64 assembly
This provides an assembly implementation of mulAddVWW for riscv64,
processing up to four words per loop, resulting in a significant
performance gain.

On a StarFive VisionFive 2:

                   │ muladdvww.1  │             muladdvww.2             │
                   │    sec/op    │   sec/op     vs base                │
MulAddVWW/1-4         68.18n ± 0%   65.49n ± 0%   -3.95% (p=0.000 n=10)
MulAddVWW/2-4         82.81n ± 0%   78.85n ± 0%   -4.78% (p=0.000 n=10)
MulAddVWW/3-4         97.49n ± 0%   72.18n ± 0%  -25.96% (p=0.000 n=10)
MulAddVWW/4-4        112.20n ± 0%   85.54n ± 0%  -23.76% (p=0.000 n=10)
MulAddVWW/5-4        126.90n ± 0%   98.90n ± 0%  -22.06% (p=0.000 n=10)
MulAddVWW/10-4        200.3n ± 0%   144.3n ± 0%  -27.96% (p=0.000 n=10)
MulAddVWW/100-4      1532.0n ± 0%   860.0n ± 0%  -43.86% (p=0.000 n=10)
MulAddVWW/1000-4     14.757µ ± 0%   8.076µ ± 0%  -45.27% (p=0.000 n=10)
MulAddVWW/10000-4     204.0µ ± 0%   137.1µ ± 0%  -32.77% (p=0.000 n=10)
MulAddVWW/100000-4    2.066m ± 0%   1.382m ± 0%  -33.12% (p=0.000 n=10)
geomean               1.311µ        950.0n       -27.51%

                   │ muladdvww.1  │             muladdvww.2              │
                   │     B/s      │     B/s       vs base                │
MulAddVWW/1-4        895.1Mi ± 0%   932.0Mi ± 0%   +4.11% (p=0.000 n=10)
MulAddVWW/2-4        1.440Gi ± 0%   1.512Gi ± 0%   +5.02% (p=0.000 n=10)
MulAddVWW/3-4        1.834Gi ± 0%   2.477Gi ± 0%  +35.07% (p=0.000 n=10)
MulAddVWW/4-4        2.125Gi ± 0%   2.787Gi ± 0%  +31.15% (p=0.000 n=10)
MulAddVWW/5-4        2.349Gi ± 0%   3.013Gi ± 0%  +28.28% (p=0.000 n=10)
MulAddVWW/10-4       2.975Gi ± 0%   4.130Gi ± 0%  +38.79% (p=0.000 n=10)
MulAddVWW/100-4      3.891Gi ± 0%   6.930Gi ± 0%  +78.11% (p=0.000 n=10)
MulAddVWW/1000-4     4.039Gi ± 0%   7.380Gi ± 0%  +82.72% (p=0.000 n=10)
MulAddVWW/10000-4    2.922Gi ± 0%   4.346Gi ± 0%  +48.74% (p=0.000 n=10)
MulAddVWW/100000-4   2.884Gi ± 0%   4.313Gi ± 0%  +49.52% (p=0.000 n=10)
geomean              2.321Gi        3.202Gi       +37.95%

Change-Id: If08191607913ce5c7641f34bae8fa5c9dfb44777
Reviewed-on: https://go-review.googlesource.com/c/go/+/595399
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Reviewed-by: Mark Ryan <markdryan@rivosinc.com>
Reviewed-by: Cherry Mui <cherryyz@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Meng Zhuo <mengzhuo1203@gmail.com>
2024-08-23 10:41:12 +00:00
Joel Sing 4f18477db6 math/big: implement subVW in riscv64 assembly
This provides an assembly implementation of subVW for riscv64,
processing up to four words per loop, resulting in a significant
performance gain.

On a StarFive VisionFive 2:

                  │   subvw.1    │               subvw.2               │
                  │    sec/op    │   sec/op     vs base                │
SubVW/1-4            57.43n ± 0%   41.45n ± 0%  -27.82% (p=0.000 n=10)
SubVW/2-4            69.31n ± 0%   48.15n ± 0%  -30.53% (p=0.000 n=10)
SubVW/3-4            76.12n ± 0%   54.87n ± 0%  -27.92% (p=0.000 n=10)
SubVW/4-4            85.47n ± 0%   56.14n ± 0%  -34.32% (p=0.000 n=10)
SubVW/5-4            96.15n ± 0%   62.83n ± 0%  -34.65% (p=0.000 n=10)
SubVW/10-4          149.60n ± 0%   89.55n ± 0%  -40.14% (p=0.000 n=10)
SubVW/100-4         1115.0n ± 0%   549.3n ± 0%  -50.74% (p=0.000 n=10)
SubVW/1000-4        10.732µ ± 0%   5.071µ ± 0%  -52.75% (p=0.000 n=10)
SubVW/10000-4        153.0µ ± 0%   103.7µ ± 0%  -32.21% (p=0.000 n=10)
SubVW/100000-4       1.542m ± 0%   1.046m ± 0%  -32.13% (p=0.000 n=10)
SubVWext/1-4         57.42n ± 0%   41.45n ± 0%  -27.81% (p=0.000 n=10)
SubVWext/2-4         69.33n ± 0%   48.15n ± 0%  -30.55% (p=0.000 n=10)
SubVWext/3-4         76.12n ± 0%   54.93n ± 0%  -27.84% (p=0.000 n=10)
SubVWext/4-4         85.47n ± 0%   56.14n ± 0%  -34.32% (p=0.000 n=10)
SubVWext/5-4         96.15n ± 0%   62.83n ± 0%  -34.65% (p=0.000 n=10)
SubVWext/10-4       149.60n ± 0%   89.56n ± 0%  -40.14% (p=0.000 n=10)
SubVWext/100-4      1115.0n ± 0%   549.3n ± 0%  -50.74% (p=0.000 n=10)
SubVWext/1000-4     10.732µ ± 0%   5.061µ ± 0%  -52.84% (p=0.000 n=10)
SubVWext/10000-4     152.5µ ± 0%   103.7µ ± 0%  -32.02% (p=0.000 n=10)
SubVWext/100000-4    1.533m ± 0%   1.046m ± 0%  -31.75% (p=0.000 n=10)
geomean              1.005µ        633.7n       -36.92%

                  │   subvw.1    │                subvw.2                 │
                  │     B/s      │      B/s       vs base                 │
SubVW/1-4           132.9Mi ± 0%    184.1Mi ± 0%   +38.54% (p=0.000 n=10)
SubVW/2-4           220.1Mi ± 0%    316.9Mi ± 0%   +43.95% (p=0.000 n=10)
SubVW/3-4           300.7Mi ± 0%    417.1Mi ± 0%   +38.72% (p=0.000 n=10)
SubVW/4-4           357.1Mi ± 0%    543.6Mi ± 0%   +52.24% (p=0.000 n=10)
SubVW/5-4           396.7Mi ± 0%    607.2Mi ± 0%   +53.03% (p=0.000 n=10)
SubVW/10-4          510.1Mi ± 0%    851.9Mi ± 0%   +67.01% (p=0.000 n=10)
SubVW/100-4         684.2Mi ± 0%   1388.9Mi ± 0%  +102.99% (p=0.000 n=10)
SubVW/1000-4        710.9Mi ± 0%   1504.5Mi ± 0%  +111.63% (p=0.000 n=10)
SubVW/10000-4       498.7Mi ± 0%    735.7Mi ± 0%   +47.52% (p=0.000 n=10)
SubVW/100000-4      494.8Mi ± 0%    729.1Mi ± 0%   +47.34% (p=0.000 n=10)
SubVWext/1-4        132.9Mi ± 0%    184.1Mi ± 0%   +38.53% (p=0.000 n=10)
SubVWext/2-4        220.1Mi ± 0%    316.9Mi ± 0%   +44.00% (p=0.000 n=10)
SubVWext/3-4        300.7Mi ± 0%    416.7Mi ± 0%   +38.57% (p=0.000 n=10)
SubVWext/4-4        357.1Mi ± 0%    543.6Mi ± 0%   +52.24% (p=0.000 n=10)
SubVWext/5-4        396.7Mi ± 0%    607.2Mi ± 0%   +53.04% (p=0.000 n=10)
SubVWext/10-4       510.1Mi ± 0%    851.9Mi ± 0%   +67.01% (p=0.000 n=10)
SubVWext/100-4      684.2Mi ± 0%   1388.9Mi ± 0%  +102.99% (p=0.000 n=10)
SubVWext/1000-4     710.9Mi ± 0%   1507.6Mi ± 0%  +112.07% (p=0.000 n=10)
SubVWext/10000-4    500.1Mi ± 0%    735.7Mi ± 0%   +47.10% (p=0.000 n=10)
SubVWext/100000-4   497.8Mi ± 0%    729.4Mi ± 0%   +46.52% (p=0.000 n=10)
geomean             387.6Mi         614.5Mi        +58.51%

Change-Id: I9d7fac719e977710ad9db9121fa298db6df605de
Reviewed-on: https://go-review.googlesource.com/c/go/+/595398
Reviewed-by: Mark Ryan <markdryan@rivosinc.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Reviewed-by: Meng Zhuo <mengzhuo1203@gmail.com>
Reviewed-by: Cherry Mui <cherryyz@google.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-08-22 13:19:44 +00:00
Joel Sing c6f56985ad math/big: implement addVW in riscv64 assembly
This provides an assembly implementation of addVW for riscv64,
processing up to four words per loop, resulting in a significant
performance gain.

On a StarFive VisionFive 2:

                  │   addvw.1    │               addvw.2               │
                  │    sec/op    │   sec/op     vs base                │
AddVW/1-4            57.43n ± 0%   41.45n ± 0%  -27.83% (p=0.000 n=10)
AddVW/2-4            69.31n ± 0%   48.15n ± 0%  -30.53% (p=0.000 n=10)
AddVW/3-4            76.12n ± 0%   54.97n ± 0%  -27.79% (p=0.000 n=10)
AddVW/4-4            85.47n ± 0%   56.14n ± 0%  -34.32% (p=0.000 n=10)
AddVW/5-4            96.16n ± 0%   62.82n ± 0%  -34.67% (p=0.000 n=10)
AddVW/10-4          149.60n ± 0%   89.55n ± 0%  -40.14% (p=0.000 n=10)
AddVW/100-4         1115.0n ± 0%   549.3n ± 0%  -50.74% (p=0.000 n=10)
AddVW/1000-4        10.732µ ± 0%   5.060µ ± 0%  -52.85% (p=0.000 n=10)
AddVW/10000-4        151.7µ ± 0%   103.7µ ± 0%  -31.63% (p=0.000 n=10)
AddVW/100000-4       1.523m ± 0%   1.050m ± 0%  -31.03% (p=0.000 n=10)
AddVWext/1-4         57.42n ± 0%   41.45n ± 0%  -27.81% (p=0.000 n=10)
AddVWext/2-4         69.32n ± 0%   48.15n ± 0%  -30.54% (p=0.000 n=10)
AddVWext/3-4         76.12n ± 0%   54.87n ± 0%  -27.92% (p=0.000 n=10)
AddVWext/4-4         85.47n ± 0%   56.14n ± 0%  -34.32% (p=0.000 n=10)
AddVWext/5-4         96.15n ± 0%   62.82n ± 0%  -34.66% (p=0.000 n=10)
AddVWext/10-4       149.60n ± 0%   89.55n ± 0%  -40.14% (p=0.000 n=10)
AddVWext/100-4      1115.0n ± 0%   549.3n ± 0%  -50.74% (p=0.000 n=10)
AddVWext/1000-4     10.732µ ± 0%   5.060µ ± 0%  -52.85% (p=0.000 n=10)
AddVWext/10000-4     150.5µ ± 0%   103.7µ ± 0%  -31.10% (p=0.000 n=10)
AddVWext/100000-4    1.530m ± 0%   1.049m ± 0%  -31.41% (p=0.000 n=10)
geomean              1.003µ        633.9n       -36.79%

                  │   addvw.1    │                addvw.2                 │
                  │     B/s      │      B/s       vs base                 │
AddVW/1-4           132.8Mi ± 0%    184.1Mi ± 0%   +38.55% (p=0.000 n=10)
AddVW/2-4           220.1Mi ± 0%    316.9Mi ± 0%   +43.96% (p=0.000 n=10)
AddVW/3-4           300.7Mi ± 0%    416.4Mi ± 0%   +38.48% (p=0.000 n=10)
AddVW/4-4           357.1Mi ± 0%    543.6Mi ± 0%   +52.25% (p=0.000 n=10)
AddVW/5-4           396.7Mi ± 0%    607.2Mi ± 0%   +53.06% (p=0.000 n=10)
AddVW/10-4          510.1Mi ± 0%    852.0Mi ± 0%   +67.02% (p=0.000 n=10)
AddVW/100-4         684.1Mi ± 0%   1389.0Mi ± 0%  +103.03% (p=0.000 n=10)
AddVW/1000-4        710.9Mi ± 0%   1507.8Mi ± 0%  +112.08% (p=0.000 n=10)
AddVW/10000-4       503.1Mi ± 0%    735.8Mi ± 0%   +46.26% (p=0.000 n=10)
AddVW/100000-4      501.0Mi ± 0%    726.5Mi ± 0%   +45.00% (p=0.000 n=10)
AddVWext/1-4        132.9Mi ± 0%    184.1Mi ± 0%   +38.55% (p=0.000 n=10)
AddVWext/2-4        220.1Mi ± 0%    316.9Mi ± 0%   +43.98% (p=0.000 n=10)
AddVWext/3-4        300.7Mi ± 0%    417.1Mi ± 0%   +38.73% (p=0.000 n=10)
AddVWext/4-4        357.1Mi ± 0%    543.6Mi ± 0%   +52.25% (p=0.000 n=10)
AddVWext/5-4        396.7Mi ± 0%    607.2Mi ± 0%   +53.05% (p=0.000 n=10)
AddVWext/10-4       510.1Mi ± 0%    852.0Mi ± 0%   +67.02% (p=0.000 n=10)
AddVWext/100-4      684.2Mi ± 0%   1389.0Mi ± 0%  +103.02% (p=0.000 n=10)
AddVWext/1000-4     710.9Mi ± 0%   1507.7Mi ± 0%  +112.08% (p=0.000 n=10)
AddVWext/10000-4    506.9Mi ± 0%    735.8Mi ± 0%   +45.15% (p=0.000 n=10)
AddVWext/100000-4   498.6Mi ± 0%    727.0Mi ± 0%   +45.79% (p=0.000 n=10)
geomean             388.3Mi         614.3Mi        +58.19%

Change-Id: Ib14a4b8c1d81e710753bbf6dd5546bbca44fe3f1
Reviewed-on: https://go-review.googlesource.com/c/go/+/595397
Reviewed-by: Meng Zhuo <mengzhuo1203@gmail.com>
Reviewed-by: Cherry Mui <cherryyz@google.com>
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2024-08-22 13:19:28 +00:00
apocelipes fd985d23dc crypto/x509,math/rand/v2: implement the encoding.(Binary|Text)Appender
Implement the encoding.(Binary|Text)Appender interfaces for "x509.OID".

Implement the encoding.BinaryAppender interface for "rand/v2.PCG" and "rand/v2.ChaCha8".

"rand/v2.ChaCha8.MarshalBinary" alse gains some performance benefits:

                           │     old      │                 new                 │
                           │    sec/op    │   sec/op     vs base                │
ChaCha8MarshalBinary-8       33.730n ± 2%   9.786n ± 1%  -70.99% (p=0.000 n=10)
ChaCha8MarshalBinaryRead-8    99.86n ± 1%   17.79n ± 0%  -82.18% (p=0.000 n=10)
geomean                       58.04n        13.19n       -77.27%

                           │    old     │                  new                   │
                           │    B/op    │   B/op     vs base                     │
ChaCha8MarshalBinary-8       48.00 ± 0%   0.00 ± 0%  -100.00% (p=0.000 n=10)
ChaCha8MarshalBinaryRead-8   83.00 ± 0%   0.00 ± 0%  -100.00% (p=0.000 n=10)

                           │    old     │                   new                   │
                           │ allocs/op  │ allocs/op   vs base                     │
ChaCha8MarshalBinary-8       1.000 ± 0%   0.000 ± 0%  -100.00% (p=0.000 n=10)
ChaCha8MarshalBinaryRead-8   2.000 ± 0%   0.000 ± 0%  -100.00% (p=0.000 n=10)

For #62384

Change-Id: I604bde6dad90a916012909c7260f4bb06dcf5c0a
GitHub-Last-Rev: 78abf9c5df
GitHub-Pull-Request: golang/go#68987
Reviewed-on: https://go-review.googlesource.com/c/go/+/607079
Reviewed-by: Cherry Mui <cherryyz@google.com>
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2024-08-21 19:19:57 +00:00
Alexander Cyon 54c948de9a src: fix typos
Fix typos in ~30 files

Change-Id: Ie433aea01e7d15944c1e9e103691784876d5c1f9
GitHub-Last-Rev: bbaeb3d1f8
GitHub-Pull-Request: golang/go#68964
Reviewed-on: https://go-review.googlesource.com/c/go/+/606955
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2024-08-20 21:01:59 +00:00
Paschalis T d2b6bdb035 math/rand: make calls to Seed no-op
Makes calls to the global Seed a no-op. The GODEBUG=randseednop=0
setting can be used to revert this behavior.

Fixes #67273

Change-Id: I79c1b2b23f3bc472fbd6190cb916a9d7583250f4
Reviewed-on: https://go-review.googlesource.com/c/go/+/606055
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2024-08-19 20:47:27 +00:00
apocelipes 527610763b math/big,regexp: implement the encoding.TextAppender interface
For #62384

Change-Id: I1557704c6a0f9c6f3b9aad001374dd5cdbc99065
GitHub-Last-Rev: c258d18cce
GitHub-Pull-Request: golang/go#68893
Reviewed-on: https://go-review.googlesource.com/c/go/+/605758
Reviewed-by: Ian Lance Taylor <iant@google.com>
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Auto-Submit: Robert Griesemer <gri@google.com>
2024-08-15 23:43:00 +00:00
Joel Sing 1419d0e925 math/big: implement subVV in riscv64 assembly
This provides an assembly implementation of subVV for riscv64,
processing up to four words per loop, resulting in a significant
performance gain.

On a StarFive VisionFive 2:

               │   subvv.1    │               subvv.2               │
               │    sec/op    │   sec/op     vs base                │
SubVV/1-4         73.46n ± 0%   48.08n ± 0%  -34.55% (p=0.000 n=10)
SubVV/2-4         88.13n ± 0%   58.76n ± 0%  -33.33% (p=0.000 n=10)
SubVV/3-4        102.80n ± 0%   69.45n ± 0%  -32.44% (p=0.000 n=10)
SubVV/4-4        117.50n ± 0%   72.11n ± 0%  -38.63% (p=0.000 n=10)
SubVV/5-4        132.20n ± 0%   82.80n ± 0%  -37.37% (p=0.000 n=10)
SubVV/10-4        216.3n ± 0%   126.9n ± 0%  -41.33% (p=0.000 n=10)
SubVV/100-4      1659.0n ± 0%   886.5n ± 0%  -46.56% (p=0.000 n=10)
SubVV/1000-4     16.089µ ± 0%   8.401µ ± 0%  -47.78% (p=0.000 n=10)
SubVV/10000-4     244.7µ ± 0%   176.8µ ± 0%  -27.74% (p=0.000 n=10)
SubVV/100000-4    2.562m ± 0%   1.871m ± 0%  -26.96% (p=0.000 n=10)
geomean           1.436µ        904.4n       -37.04%

               │   subvv.1    │                subvv.2                │
               │     B/s      │      B/s       vs base                │
SubVV/1-4        830.9Mi ± 0%   1269.5Mi ± 0%  +52.79% (p=0.000 n=10)
SubVV/2-4        1.353Gi ± 0%    2.029Gi ± 0%  +49.99% (p=0.000 n=10)
SubVV/3-4        1.739Gi ± 0%    2.575Gi ± 0%  +48.06% (p=0.000 n=10)
SubVV/4-4        2.029Gi ± 0%    3.306Gi ± 0%  +62.96% (p=0.000 n=10)
SubVV/5-4        2.254Gi ± 0%    3.600Gi ± 0%  +59.67% (p=0.000 n=10)
SubVV/10-4       2.755Gi ± 0%    4.699Gi ± 0%  +70.53% (p=0.000 n=10)
SubVV/100-4      3.594Gi ± 0%    6.723Gi ± 0%  +87.08% (p=0.000 n=10)
SubVV/1000-4     3.705Gi ± 0%    7.095Gi ± 0%  +91.52% (p=0.000 n=10)
SubVV/10000-4    2.436Gi ± 0%    3.372Gi ± 0%  +38.39% (p=0.000 n=10)
SubVV/100000-4   2.327Gi ± 0%    3.185Gi ± 0%  +36.91% (p=0.000 n=10)
geomean          2.118Gi         3.364Gi       +58.84%

Change-Id: I361cb3f4195b27a9f1e9486c9e1fdbeaa94d32b4
Reviewed-on: https://go-review.googlesource.com/c/go/+/595396
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
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Reviewed-by: Cherry Mui <cherryyz@google.com>
Reviewed-by: Carlos Amedee <carlos@golang.org>
2024-08-15 12:06:59 +00:00
Xiaolin Zhao ff14e08cd3 cmd/compile, math: improve implementation of math.{Max,Min} on loong64
Make math.{Min,Max} intrinsics and implement math.{archMax,archMin}
in hardware.

goos: linux
goarch: loong64
pkg: math
cpu: Loongson-3A6000 @ 2500.00MHz
         │  old.bench   │              new.bench              │
         │    sec/op    │   sec/op     vs base                │
Max         7.606n ± 0%   3.087n ± 0%  -59.41% (p=0.000 n=20)
Min         7.205n ± 0%   2.904n ± 0%  -59.69% (p=0.000 n=20)
MinFloat   37.220n ± 0%   4.802n ± 0%  -87.10% (p=0.000 n=20)
MaxFloat   33.620n ± 0%   4.802n ± 0%  -85.72% (p=0.000 n=20)
geomean     16.18n        3.792n       -76.57%

goos: linux
goarch: loong64
pkg: runtime
cpu: Loongson-3A5000 @ 2500.00MHz
         │  old.bench   │              new.bench              │
         │    sec/op    │   sec/op     vs base                │
Max        10.010n ± 0%   7.196n ± 0%  -28.11% (p=0.000 n=20)
Min         8.806n ± 0%   7.155n ± 0%  -18.75% (p=0.000 n=20)
MinFloat   60.010n ± 0%   7.976n ± 0%  -86.71% (p=0.000 n=20)
MaxFloat   56.410n ± 0%   7.980n ± 0%  -85.85% (p=0.000 n=20)
geomean     23.37n        7.566n       -67.63%

Updates #59120.

Change-Id: I6815d20bc304af3cbf5d6ca8fe0ca1c2ddebea2d
Reviewed-on: https://go-review.googlesource.com/c/go/+/580283
Reviewed-by: Keith Randall <khr@google.com>
Reviewed-by: Qiqi Huang <huangqiqi@loongson.cn>
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Reviewed-by: abner chenc <chenguoqi@loongson.cn>
Reviewed-by: Keith Randall <khr@golang.org>
Reviewed-by: David Chase <drchase@google.com>
2024-08-07 01:16:28 +00:00
Joel Sing 9abd11440c math/big: implement addVV in riscv64 assembly
This provides an assembly implementation of addVV for riscv64,
processing up to four words per loop, resulting in a significant
performance gain.

On a StarFive VisionFive 2:

               │   addvv.1    │               addvv.2               │
               │    sec/op    │   sec/op     vs base                │
AddVV/1-4         73.45n ± 0%   48.08n ± 0%  -34.54% (p=0.000 n=10)
AddVV/2-4         88.14n ± 0%   58.76n ± 0%  -33.33% (p=0.000 n=10)
AddVV/3-4        102.80n ± 0%   69.44n ± 0%  -32.45% (p=0.000 n=10)
AddVV/4-4        117.50n ± 0%   72.18n ± 0%  -38.57% (p=0.000 n=10)
AddVV/5-4        132.20n ± 0%   82.79n ± 0%  -37.38% (p=0.000 n=10)
AddVV/10-4        216.3n ± 0%   126.8n ± 0%  -41.35% (p=0.000 n=10)
AddVV/100-4      1659.0n ± 0%   885.2n ± 0%  -46.64% (p=0.000 n=10)
AddVV/1000-4     16.089µ ± 0%   8.400µ ± 0%  -47.79% (p=0.000 n=10)
AddVV/10000-4     245.3µ ± 0%   176.9µ ± 0%  -27.88% (p=0.000 n=10)
AddVV/100000-4    2.537m ± 0%   1.873m ± 0%  -26.17% (p=0.000 n=10)
geomean           1.435µ        904.5n       -36.99%

               │   addvv.1    │                addvv.2                │
               │     B/s      │      B/s       vs base                │
AddVV/1-4        830.9Mi ± 0%   1269.5Mi ± 0%  +52.78% (p=0.000 n=10)
AddVV/2-4        1.353Gi ± 0%    2.029Gi ± 0%  +50.00% (p=0.000 n=10)
AddVV/3-4        1.739Gi ± 0%    2.575Gi ± 0%  +48.09% (p=0.000 n=10)
AddVV/4-4        2.029Gi ± 0%    3.303Gi ± 0%  +62.82% (p=0.000 n=10)
AddVV/5-4        2.254Gi ± 0%    3.600Gi ± 0%  +59.69% (p=0.000 n=10)
AddVV/10-4       2.755Gi ± 0%    4.699Gi ± 0%  +70.54% (p=0.000 n=10)
AddVV/100-4      3.594Gi ± 0%    6.734Gi ± 0%  +87.37% (p=0.000 n=10)
AddVV/1000-4     3.705Gi ± 0%    7.096Gi ± 0%  +91.54% (p=0.000 n=10)
AddVV/10000-4    2.430Gi ± 0%    3.369Gi ± 0%  +38.65% (p=0.000 n=10)
AddVV/100000-4   2.350Gi ± 0%    3.183Gi ± 0%  +35.44% (p=0.000 n=10)
geomean          2.119Gi         3.364Gi       +58.71%

Change-Id: I727b3d9f8ab01eada7270046480b1430d56d0a96
Reviewed-on: https://go-review.googlesource.com/c/go/+/595395
Reviewed-by: Cherry Mui <cherryyz@google.com>
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: M Zhuo <mengzhuo1203@gmail.com>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Than McIntosh <thanm@google.com>
2024-08-02 14:14:14 +00:00
withsky fc51e5023e math/big: fix comment typo in natdiv.go
Comment in line 395:
[x₀ < S, so S - x₀ < 0; drop it]
Should be:
[x₀ < S, so S - x₀ > 0; drop it]

The proof is based on S - x₀ > 0, thus it's a typo of comment.

Fixes #68466

Change-Id: I68bb7cb909ba2bfe02a8873f74b57edc6679b72a
GitHub-Last-Rev: 40a2fc80cf
GitHub-Pull-Request: golang/go#68487
Reviewed-on: https://go-review.googlesource.com/c/go/+/598855
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Reviewed-by: Keith Randall <khr@google.com>
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2024-07-17 15:08:04 +00:00
Kir Kolyshkin 97ccc224f1 math/big: use lists in docstrings
This looks way better than the code formatting.

Similar to CL 597656.

Change-Id: I2c8809c1d6f8a8387941567213880662ff649a73
Reviewed-on: https://go-review.googlesource.com/c/go/+/597659
Reviewed-by: Ian Lance Taylor <iant@google.com>
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2024-07-16 18:17:35 +00:00
Kir Kolyshkin 66e940b6f8 math/big: more cross-references in docstrings
Change-Id: I3541859bbf3ac4f9317b82a66d21be3d5c4c5a84
Reviewed-on: https://go-review.googlesource.com/c/go/+/597658
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2024-07-16 18:17:32 +00:00
Jorropo b3040679ad math: remove riscv64 assembly implementations of rounding
Fixes #68322

This reverts commit ad377e906a.

Change-Id: Ifa4811e2c679d789cc830dbff5e50301410e24d0
Reviewed-on: https://go-review.googlesource.com/c/go/+/596516
Reviewed-by: Than McIntosh <thanm@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
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2024-07-10 03:19:58 +00:00
Robert Griesemer 1831437f19 math/big: better doc string for Float.Copy, add example test
Fixes #66358.

Change-Id: Ic9bde88eabfb2a446d32e1dc5ac404a51ef49f11
Reviewed-on: https://go-review.googlesource.com/c/go/+/590635
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2024-06-06 15:46:54 +00:00
Russ Cox 2a7ca156b8 all: document legacy //go:linkname for final round of modules
Add linknames for most modules with ≥50 dependents.
Add linknames for a few other modules that we know
are important but are below 50.

Remove linknames from badlinkname.go that do not merit
inclusion (very small number of dependents).
We can add them back later if the need arises.

Fixes #67401. (For now.)

Change-Id: I1e49fec0292265256044d64b1841d366c4106002
Reviewed-on: https://go-review.googlesource.com/c/go/+/587756
Auto-Submit: Russ Cox <rsc@golang.org>
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2024-05-29 17:58:53 +00:00
Alan Donovan bf91eb3a8b std: fix calls to Printf(s) with non-constant s
In all cases the intent was not to interpret s as a format string.
In one case (go/types), this was a latent bug in production.
(These were uncovered by a new check in vet's printf analyzer.)

Updates #60529

Change-Id: I3e17af7e589be9aec1580783a1b1011c52ec494b
Reviewed-on: https://go-review.googlesource.com/c/go/+/587855
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2024-05-23 18:42:28 +00:00
Russ Cox 9a3ef86173 all: document legacy //go:linkname for modules with ≥5,000 dependents
For #67401.

Change-Id: Ifea84af92017b405466937f50fb8f28e6893c8cb
Reviewed-on: https://go-review.googlesource.com/c/go/+/587220
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2024-05-23 01:15:13 +00:00
Ian Lance Taylor b0b1d42db3 all: change from sort functions to slices functions where feasible
Doing this because the slices functions are slightly faster and
slightly easier to use. It also removes one dependency layer.

This CL does not change packages that are used during bootstrap,
as the bootstrap compiler does not have the required slices functions.
It does not change the go/scanner package because the ErrorList
Len, Swap, and Less methods are part of the Go 1 API.

Change-Id: If52899be791c829198e11d2408727720b91ebe8a
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2024-05-23 01:00:11 +00:00
Filippo Valsorda 587c3847da math/rand/v2: add ChaCha8.Read
Fixes #67059
Closes #67452
Closes #67498

Change-Id: I84eba2ed787a17e9d6aaad2a8a78596e3944909a
Reviewed-on: https://go-review.googlesource.com/c/go/+/587280
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2024-05-22 22:09:08 +00:00
Paul E. Murphy cc673d2ec5 all: convert PPC64 CMPx ...,R0,... to CMPx Rx,$0
Cleanup all remaining trivial compares against $0 in ppc64x assembly.

In math, SRD ...,Rx; CMP Rx, $0 is further simplified to SRDCC.

Change-Id: Ia2bc204953e32f08ee142bfd06a91965f30f99b6
Reviewed-on: https://go-review.googlesource.com/c/go/+/587016
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
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2024-05-22 18:17:17 +00:00
Brad Fitzpatrick bf0bbd5360 math/rand/v2: drop pointer receiver on zero-width type
Just a cleanup.

Change-Id: Ibeb2c7d447c793086280e612fe5f0f7eeb863f71
Reviewed-on: https://go-review.googlesource.com/c/go/+/582875
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Reviewed-by: Damien Neil <dneil@google.com>
Reviewed-by: Jorropo <jorropo.pgm@gmail.com>
2024-05-22 02:25:49 +00:00
Jayanth Krishnamurthy f726c8d0fd ppc64x: code cleanup in assembly files
Replacing Branch Conditional (BC) with its extended mnemonic form of  BDNZ and BDZ.
- BC 16, 0, target can be replaced by BDNZ target
- BC 18, 0, target can be replaced by BDZ target

Change-Id: I1259e207f2a40d0b72780d5421f7449ddc006dc5
Cq-Include-Trybots: luci.golang.try:gotip-linux-ppc64_power10,gotip-linux-ppc64_power8,gotip-linux-ppc64le_power8,gotip-linux-ppc64le_power9,gotip-linux-ppc64le_power10
Reviewed-on: https://go-review.googlesource.com/c/go/+/585077
Reviewed-by: Carlos Amedee <carlos@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
Reviewed-by: Lynn Boger <laboger@linux.vnet.ibm.com>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
2024-05-20 18:05:32 +00:00
Cherry Mui 41aab30bd2 all: add push linknames to allow legacy pull linknames
CL 585358 adds restrictions to disallow pull-only linknames
(currently off by default). Currently, there are quite some pull-
only linknames in user code in the wild. In order not to break
those, we add push linknames to allow them to be pulled. This CL
includes linknames found in a large code corpus (thanks Matthew
Dempsky and Michael Pratt for the analysis!), that are not
currently linknamed.

Updates #67401.

Change-Id: I32f5fc0c7a6abbd7a11359a025cfa2bf458fe767
Reviewed-on: https://go-review.googlesource.com/c/go/+/586137
Reviewed-by: Russ Cox <rsc@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>
2024-05-17 16:48:00 +00:00