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The Go programming language
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1f7e28acdf
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> |
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