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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
..
big math/big: update calibration tests and recalibrate 2025-03-12 05:41:50 -07:00
bits math/bits: update reference to debruijn paper 2024-12-04 22:15:36 +00:00
cmplx math: add available godoc link 2023-10-19 11:59:09 +00:00
rand all: surround -test.run arguments with ^$ 2025-02-25 10:58:29 -08:00
abs.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
acos_s390x.s
…
acosh.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
acosh_s390x.s
…
all_test.go math: add large exact float rounding tests 2024-09-04 13:36:10 +00:00
arith_s390x.go
…
arith_s390x_test.go
…
asin.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
asin_s390x.s
…
asinh.go all: fix mismatched symbols 2023-06-13 20:02:49 +00:00
asinh_s390x.s
…
atan.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
atan2.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
atan2_s390x.s
…
atan_s390x.s
…
atanh.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
atanh_s390x.s all: replace leading spaces with tabs in assembly 2023-03-23 20:52:57 +00:00
bits.go all: replace `` and '' with “ (U+201C) and ” (U+201D) in doc comments 2022-04-05 17:52:29 +00:00
cbrt.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
cbrt_s390x.s
…
const.go math: show value of integer constants in comments 2022-09-21 14:07:39 +00:00
const_test.go
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copysign.go math: improve documentation of Copysign 2022-04-14 17:42:53 +00:00
cosh_s390x.s
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dim.go math: document that Min/Max differ from min/max 2023-06-15 19:45:12 +00:00
dim_amd64.s
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dim_arm64.s
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dim_asm.go cmd/compile, math: improve implementation of math.{Max,Min} on loong64 2024-08-07 01:16:28 +00:00
dim_loong64.s cmd/compile, math: improve implementation of math.{Max,Min} on loong64 2024-08-07 01:16:28 +00:00
dim_noasm.go cmd/compile, math: improve implementation of math.{Max,Min} on loong64 2024-08-07 01:16:28 +00:00
dim_riscv64.s
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dim_s390x.s
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erf.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
erf_s390x.s
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erfc_s390x.s
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erfinv.go math: add available godoc link 2023-10-19 11:59:09 +00:00
example_test.go
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exp.go math: add available godoc link 2023-10-19 11:59:09 +00:00
exp2_asm.go math: implement func archExp and archExp2 in assembly on loong64 2025-03-05 18:30:54 -08:00
exp2_noasm.go math: implement func archExp and archExp2 in assembly on loong64 2025-03-05 18:30:54 -08:00
exp_amd64.go
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exp_amd64.s
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exp_arm64.s
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exp_asm.go math: implement func archExp and archExp2 in assembly on loong64 2025-03-05 18:30:54 -08:00
exp_loong64.s math: implement func archExp and archExp2 in assembly on loong64 2025-03-05 18:30:54 -08:00
exp_noasm.go math: implement func archExp and archExp2 in assembly on loong64 2025-03-05 18:30:54 -08:00
exp_s390x.s
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expm1.go math: add available godoc link 2023-10-19 11:59:09 +00:00
expm1_s390x.s
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export_s390x_test.go
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export_test.go
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floor.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
floor_386.s
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floor_amd64.s
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floor_arm64.s
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floor_asm.go math: implement arch{Floor, Ceil, Trunc} in hardware on loong64 2024-10-12 03:24:22 +00:00
floor_loong64.s math: implement arch{Floor, Ceil, Trunc} in hardware on loong64 2024-10-12 03:24:22 +00:00
floor_noasm.go math: implement arch{Floor, Ceil, Trunc} in hardware on loong64 2024-10-12 03:24:22 +00:00
floor_ppc64x.s all: drop old +build lines 2023-10-19 23:33:27 +00:00
floor_riscv64.s math: add round assembly implementations on riscv64 2024-09-11 02:28:10 +00:00
floor_s390x.s
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floor_wasm.s
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fma.go math: fix portable FMA when x*y < 0 and x*y == -z 2023-07-05 22:05:30 +00:00
frexp.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
gamma.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
huge_test.go math: enable huge argument tests on s390x 2023-07-31 16:23:41 +00:00
hypot.go math: add available godoc link 2023-10-19 11:59:09 +00:00
hypot_386.s
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hypot_amd64.s
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hypot_asm.go
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hypot_noasm.go
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j0.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
j1.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
jn.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
ldexp.go math: add available godoc link 2023-10-19 11:59:09 +00:00
lgamma.go math: add available godoc link 2023-10-19 11:59:09 +00:00
log.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
log1p.go math: add available godoc link 2023-10-19 11:59:09 +00:00
log1p_s390x.s
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log10.go math: add available godoc link 2023-10-19 11:59:09 +00:00
log10_s390x.s
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log_amd64.s all: replace leading spaces with tabs in assembly 2023-03-23 20:52:57 +00:00
log_asm.go
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log_s390x.s
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log_stub.go
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logb.go math: fix function name in comment 2022-11-07 19:46:45 +00:00
mod.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
modf.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
modf_arm64.s
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modf_asm.go
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modf_noasm.go
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modf_ppc64x.s all: drop old +build lines 2023-10-19 23:33:27 +00:00
nextafter.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
pow.go math: handle int64 overflows for odd integer exponents in Pow(-0, y) 2023-01-24 19:10:58 +00:00
pow10.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
pow_s390x.s all: fix spelling errors 2023-06-14 00:03:57 +00:00
remainder.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
signbit.go
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sin.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
sin_s390x.s math: huge argument handling for sin/cos in s390x 2023-07-31 04:25:54 +00:00
sincos.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
sinh.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
sinh_s390x.s
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sqrt.go cmd/compile,math: remove all sqrt assembly code 2022-08-15 17:07:57 +00:00
stubs.go
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stubs_s390x.s
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tan.go all: fix some lint issues 2022-05-08 17:27:54 +00:00
tan_s390x.s math: support to handle huge arguments in tan function on s390x 2023-07-27 23:30:00 +00:00
tanh.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
tanh_s390x.s
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trig_reduce.go all: gofmt main repo 2022-04-11 16:34:30 +00:00
unsafe.go all: document legacy //go:linkname for final round of modules 2024-05-29 17:58:53 +00:00