edaa0ffadb
Replace z.mul(x, x) calls on nats in internal code with z.sqr(x) that employs optimized squaring routines. Benchmark results: Exp-4 12.9ms ± 2% 12.8ms ± 3% ~ (p=0.165 n=10+10) Exp2-4 13.0ms ± 4% 12.8ms ± 2% -2.14% (p=0.015 n=8+9) ModSqrt225_Tonelli-4 987µs ± 4% 989µs ± 2% ~ (p=0.673 n=8+9) ModSqrt224_3Mod4-4 300µs ± 2% 301µs ± 3% ~ (p=0.546 n=9+9) ModSqrt5430_Tonelli-4 4.88s ± 6% 4.82s ± 5% ~ (p=0.247 n=10+10) ModSqrt5430_3Mod4-4 1.62s ±10% 1.57s ± 1% ~ (p=0.094 n=9+9) Exp3Power/0x10-4 496ns ± 7% 426ns ± 7% -14.21% (p=0.000 n=10+10) Exp3Power/0x40-4 575ns ± 5% 470ns ± 7% -18.20% (p=0.000 n=9+10) Exp3Power/0x100-4 929ns ±19% 770ns ±10% -17.13% (p=0.000 n=10+10) Exp3Power/0x400-4 1.96µs ± 7% 1.79µs ± 5% -8.68% (p=0.000 n=10+10) Exp3Power/0x1000-4 10.9µs ± 9% 7.9µs ± 5% -28.02% (p=0.000 n=10+10) Exp3Power/0x4000-4 86.8µs ± 8% 67.3µs ± 8% -22.41% (p=0.000 n=10+10) Exp3Power/0x10000-4 750µs ± 8% 731µs ± 1% ~ (p=0.074 n=9+8) Exp3Power/0x40000-4 7.07ms ± 7% 7.05ms ± 4% ~ (p=0.931 n=9+9) Exp3Power/0x100000-4 64.7ms ± 2% 65.6ms ± 6% ~ (p=0.661 n=9+10) Exp3Power/0x400000-4 577ms ± 2% 580ms ± 3% ~ (p=0.931 n=9+9) ProbablyPrime/n=0-4 9.08ms ±17% 9.09ms ±16% ~ (p=0.447 n=9+10) ProbablyPrime/n=1-4 10.8ms ± 4% 10.7ms ± 2% ~ (p=0.243 n=10+9) ProbablyPrime/n=5-4 18.5ms ± 3% 18.5ms ± 1% ~ (p=0.863 n=9+9) ProbablyPrime/n=10-4 28.6ms ± 6% 28.2ms ± 1% ~ (p=0.050 n=9+9) ProbablyPrime/n=20-4 48.4ms ± 4% 48.4ms ± 2% ~ (p=0.739 n=10+10) ProbablyPrime/Lucas-4 6.75ms ± 4% 6.75ms ± 2% ~ (p=0.963 n=9+8) ProbablyPrime/MillerRabinBase2-4 2.00ms ± 5% 2.00ms ± 7% ~ (p=0.931 n=9+9) Change-Id: Ibe9f58d11dbad25eb369faedf480b666a0250a6b Reviewed-on: https://go-review.googlesource.com/56773 Reviewed-by: Robert Griesemer <gri@golang.org> |
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