From 8abde68f19ff84c12e8b353e41934999b1bb051c Mon Sep 17 00:00:00 2001 From: Russ Cox Date: Tue, 6 Jun 2023 13:50:26 -0400 Subject: [PATCH] math/rand/v2: delete Mitchell/Reeds source MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit These slowdowns are because we are now using PCG instead of the Mitchell/Reeds LFSR for the benchmarks. PCG is in fact a bit slower (but generates statically far better random numbers). goos: linux goarch: amd64 pkg: math/rand/v2 cpu: AMD Ryzen 9 7950X 16-Core Processor │ 01ff938549.amd64 │ afa459a2f0.amd64 │ │ sec/op │ sec/op vs base │ PCG_DXSM-32 1.490n ± 0% 1.488n ± 2% ~ (p=0.408 n=20) SourceUint64-32 1.352n ± 1% 1.450n ± 3% +7.21% (p=0.000 n=20) GlobalInt64-32 2.083n ± 0% 2.067n ± 2% ~ (p=0.223 n=20) GlobalInt64Parallel-32 0.1035n ± 1% 0.1044n ± 2% ~ (p=0.010 n=20) GlobalUint64-32 2.038n ± 1% 2.085n ± 0% +2.28% (p=0.000 n=20) GlobalUint64Parallel-32 0.1006n ± 1% 0.1008n ± 1% ~ (p=0.733 n=20) Int64-32 1.687n ± 2% 1.779n ± 1% +5.48% (p=0.000 n=20) Uint64-32 1.674n ± 2% 1.854n ± 2% +10.69% (p=0.000 n=20) GlobalIntN1000-32 3.135n ± 1% 3.140n ± 3% ~ (p=0.794 n=20) IntN1000-32 2.478n ± 1% 2.496n ± 1% +0.73% (p=0.006 n=20) Int64N1000-32 2.455n ± 1% 2.510n ± 2% +2.22% (p=0.000 n=20) Int64N1e8-32 2.467n ± 2% 2.471n ± 2% ~ (p=0.050 n=20) Int64N1e9-32 2.454n ± 1% 2.488n ± 2% +1.39% (p=0.000 n=20) Int64N2e9-32 2.482n ± 1% 2.478n ± 2% ~ (p=0.066 n=20) Int64N1e18-32 3.349n ± 2% 3.088n ± 1% -7.81% (p=0.000 n=20) Int64N2e18-32 3.537n ± 1% 3.493n ± 1% -1.24% (p=0.002 n=20) Int64N4e18-32 4.917n ± 0% 5.060n ± 2% +2.91% (p=0.000 n=20) Int32N1000-32 2.386n ± 1% 2.620n ± 1% +9.76% (p=0.000 n=20) Int32N1e8-32 2.366n ± 1% 2.652n ± 0% +12.11% (p=0.000 n=20) Int32N1e9-32 2.355n ± 2% 2.644n ± 1% +12.32% (p=0.000 n=20) Int32N2e9-32 2.371n ± 1% 2.619n ± 2% +10.48% (p=0.000 n=20) Float32-32 2.245n ± 2% 2.261n ± 1% ~ (p=0.625 n=20) Float64-32 2.235n ± 1% 2.241n ± 2% ~ (p=0.393 n=20) ExpFloat64-32 3.813n ± 3% 3.716n ± 1% -2.53% (p=0.000 n=20) NormFloat64-32 3.652n ± 2% 3.718n ± 1% +1.79% (p=0.006 n=20) Perm3-32 33.12n ± 3% 34.11n ± 2% ~ (p=0.021 n=20) Perm30-32 205.1n ± 1% 200.6n ± 0% -2.17% (p=0.000 n=20) Perm30ViaShuffle-32 110.8n ± 1% 109.7n ± 1% -0.99% (p=0.002 n=20) ShuffleOverhead-32 113.0n ± 1% 107.2n ± 1% -5.09% (p=0.000 n=20) Concurrent-32 2.100n ± 0% 2.108n ± 6% ~ (p=0.103 n=20) goos: darwin goarch: arm64 pkg: math/rand/v2 │ 01ff938549.arm64 │ afa459a2f0.arm64 │ │ sec/op │ sec/op vs base │ PCG_DXSM-8 2.531n ± 0% 2.531n ± 0% ~ (p=0.763 n=20) SourceUint64-8 2.258n ± 1% 2.531n ± 0% +12.09% (p=0.000 n=20) GlobalInt64-8 2.167n ± 0% 2.177n ± 1% ~ (p=0.213 n=20) GlobalInt64Parallel-8 0.4310n ± 0% 0.4319n ± 0% ~ (p=0.027 n=20) GlobalUint64-8 2.182n ± 1% 2.185n ± 1% ~ (p=0.683 n=20) GlobalUint64Parallel-8 0.4297n ± 0% 0.4295n ± 1% ~ (p=0.941 n=20) Int64-8 2.472n ± 1% 4.104n ± 0% +66.00% (p=0.000 n=20) Uint64-8 2.449n ± 1% 4.080n ± 0% +66.60% (p=0.000 n=20) GlobalIntN1000-8 2.814n ± 2% 2.814n ± 1% ~ (p=0.972 n=20) IntN1000-8 2.998n ± 2% 4.140n ± 0% +38.09% (p=0.000 n=20) Int64N1000-8 2.949n ± 2% 4.139n ± 0% +40.35% (p=0.000 n=20) Int64N1e8-8 2.953n ± 2% 4.140n ± 0% +40.22% (p=0.000 n=20) Int64N1e9-8 2.950n ± 0% 4.139n ± 0% +40.32% (p=0.000 n=20) Int64N2e9-8 2.946n ± 2% 4.140n ± 0% +40.53% (p=0.000 n=20) Int64N1e18-8 3.779n ± 1% 5.273n ± 0% +39.52% (p=0.000 n=20) Int64N2e18-8 4.370n ± 1% 6.059n ± 0% +38.65% (p=0.000 n=20) Int64N4e18-8 6.544n ± 1% 8.803n ± 0% +34.52% (p=0.000 n=20) Int32N1000-8 2.950n ± 0% 4.131n ± 0% +40.06% (p=0.000 n=20) Int32N1e8-8 2.950n ± 2% 4.131n ± 0% +40.03% (p=0.000 n=20) Int32N1e9-8 2.951n ± 2% 4.131n ± 0% +39.99% (p=0.000 n=20) Int32N2e9-8 2.950n ± 2% 4.131n ± 0% +40.03% (p=0.000 n=20) Float32-8 3.441n ± 0% 4.110n ± 0% +19.44% (p=0.000 n=20) Float64-8 3.442n ± 0% 4.104n ± 0% +19.24% (p=0.000 n=20) ExpFloat64-8 4.481n ± 0% 5.338n ± 0% +19.11% (p=0.000 n=20) NormFloat64-8 4.725n ± 0% 5.731n ± 0% +21.28% (p=0.000 n=20) Perm3-8 26.55n ± 0% 26.62n ± 0% +0.28% (p=0.000 n=20) Perm30-8 181.9n ± 0% 194.6n ± 2% +6.98% (p=0.000 n=20) Perm30ViaShuffle-8 142.9n ± 0% 156.4n ± 0% +9.45% (p=0.000 n=20) ShuffleOverhead-8 120.8n ± 2% 125.8n ± 0% +4.10% (p=0.000 n=20) Concurrent-8 2.421n ± 6% 2.654n ± 6% +9.67% (p=0.002 n=20) goos: linux goarch: 386 pkg: math/rand/v2 cpu: AMD Ryzen 9 7950X 16-Core Processor │ 01ff938549.386 │ afa459a2f0.386 │ │ sec/op │ sec/op vs base │ PCG_DXSM-32 7.613n ± 1% 7.793n ± 2% +2.38% (p=0.000 n=20) SourceUint64-32 2.069n ± 0% 7.680n ± 1% +271.19% (p=0.000 n=20) GlobalInt64-32 3.456n ± 1% 3.474n ± 3% ~ (p=0.654 n=20) GlobalInt64Parallel-32 0.3252n ± 0% 0.3253n ± 0% ~ (p=0.952 n=20) GlobalUint64-32 3.573n ± 1% 3.433n ± 2% -3.92% (p=0.000 n=20) GlobalUint64Parallel-32 0.3159n ± 0% 0.3156n ± 0% ~ (p=0.223 n=20) Int64-32 2.562n ± 2% 7.707n ± 1% +200.74% (p=0.000 n=20) Uint64-32 2.592n ± 0% 7.714n ± 1% +197.65% (p=0.000 n=20) GlobalIntN1000-32 6.266n ± 2% 6.236n ± 1% ~ (p=0.039 n=20) IntN1000-32 4.724n ± 2% 10.410n ± 1% +120.39% (p=0.000 n=20) Int64N1000-32 5.490n ± 2% 10.975n ± 2% +99.89% (p=0.000 n=20) Int64N1e8-32 5.513n ± 2% 10.980n ± 1% +99.15% (p=0.000 n=20) Int64N1e9-32 5.476n ± 1% 10.950n ± 0% +99.96% (p=0.000 n=20) Int64N2e9-32 5.501n ± 2% 11.110n ± 1% +101.96% (p=0.000 n=20) Int64N1e18-32 9.043n ± 2% 15.180n ± 2% +67.86% (p=0.000 n=20) Int64N2e18-32 9.601n ± 2% 15.610n ± 1% +62.60% (p=0.000 n=20) Int64N4e18-32 12.00n ± 1% 19.23n ± 2% +60.14% (p=0.000 n=20) Int32N1000-32 4.829n ± 2% 10.345n ± 1% +114.25% (p=0.000 n=20) Int32N1e8-32 4.825n ± 2% 10.330n ± 1% +114.09% (p=0.000 n=20) Int32N1e9-32 4.830n ± 2% 10.350n ± 1% +114.26% (p=0.000 n=20) Int32N2e9-32 4.750n ± 2% 10.345n ± 1% +117.81% (p=0.000 n=20) Float32-32 10.89n ± 4% 13.57n ± 1% +24.61% (p=0.000 n=20) Float64-32 19.60n ± 4% 22.95n ± 4% +17.12% (p=0.000 n=20) ExpFloat64-32 12.96n ± 3% 15.23n ± 2% +17.47% (p=0.000 n=20) NormFloat64-32 7.516n ± 1% 13.780n ± 1% +83.34% (p=0.000 n=20) Perm3-32 36.78n ± 2% 46.62n ± 2% +26.72% (p=0.000 n=20) Perm30-32 238.9n ± 2% 400.7n ± 1% +67.73% (p=0.000 n=20) Perm30ViaShuffle-32 189.7n ± 2% 350.5n ± 1% +84.79% (p=0.000 n=20) ShuffleOverhead-32 159.8n ± 1% 326.0n ± 2% +104.01% (p=0.000 n=20) Concurrent-32 3.286n ± 1% 3.290n ± 0% ~ (p=0.743 n=20) On the other hand, compared to the original "update benchmarks" CL, the cleanups we've made more than compensate for PCG being a bit slower than LFSR, at least on 64-bit x86. ARM64 (Apple M1) is a bit slower: perhaps the 64x64→128 multiply is slower there for some reason. 386 is noticeably slower, but it's also a non-SSA backend. goos: linux goarch: amd64 pkg: math/rand/v2 cpu: AMD Ryzen 9 7950X 16-Core Processor │ 220860f76f.amd64 │ afa459a2f0.amd64 │ │ sec/op │ sec/op vs base │ SourceUint64-32 1.555n ± 1% 1.450n ± 3% -6.78% (p=0.000 n=20) GlobalInt64-32 2.071n ± 1% 2.067n ± 2% ~ (p=0.673 n=20) GlobalInt63Parallel-32 0.1023n ± 1% GlobalInt64Parallel-32 0.1044n ± 2% GlobalUint64-32 5.193n ± 1% 2.085n ± 0% -59.86% (p=0.000 n=20) GlobalUint64Parallel-32 0.2341n ± 0% 0.1008n ± 1% -56.93% (p=0.000 n=20) Int64-32 2.056n ± 2% 1.779n ± 1% -13.47% (p=0.000 n=20) Uint64-32 2.077n ± 2% 1.854n ± 2% -10.74% (p=0.000 n=20) GlobalIntN1000-32 4.077n ± 2% 3.140n ± 3% -22.98% (p=0.000 n=20) IntN1000-32 3.476n ± 2% 2.496n ± 1% -28.19% (p=0.000 n=20) Int64N1000-32 3.059n ± 1% 2.510n ± 2% -17.96% (p=0.000 n=20) Int64N1e8-32 2.942n ± 1% 2.471n ± 2% -15.98% (p=0.000 n=20) Int64N1e9-32 2.932n ± 1% 2.488n ± 2% -15.14% (p=0.000 n=20) Int64N2e9-32 2.925n ± 1% 2.478n ± 2% -15.30% (p=0.000 n=20) Int64N1e18-32 3.116n ± 1% 3.088n ± 1% ~ (p=0.013 n=20) Int64N2e18-32 4.067n ± 1% 3.493n ± 1% -14.11% (p=0.000 n=20) Int64N4e18-32 4.054n ± 1% 5.060n ± 2% +24.80% (p=0.000 n=20) Int32N1000-32 2.951n ± 1% 2.620n ± 1% -11.22% (p=0.000 n=20) Int32N1e8-32 3.102n ± 1% 2.652n ± 0% -14.50% (p=0.000 n=20) Int32N1e9-32 3.535n ± 1% 2.644n ± 1% -25.20% (p=0.000 n=20) Int32N2e9-32 3.514n ± 1% 2.619n ± 2% -25.47% (p=0.000 n=20) Float32-32 2.760n ± 1% 2.261n ± 1% -18.06% (p=0.000 n=20) Float64-32 2.284n ± 1% 2.241n ± 2% ~ (p=0.016 n=20) ExpFloat64-32 3.757n ± 1% 3.716n ± 1% ~ (p=0.034 n=20) NormFloat64-32 3.837n ± 1% 3.718n ± 1% -3.09% (p=0.000 n=20) Perm3-32 35.23n ± 2% 34.11n ± 2% -3.19% (p=0.000 n=20) Perm30-32 208.8n ± 1% 200.6n ± 0% -3.93% (p=0.000 n=20) Perm30ViaShuffle-32 111.7n ± 1% 109.7n ± 1% -1.84% (p=0.000 n=20) ShuffleOverhead-32 101.1n ± 1% 107.2n ± 1% +6.03% (p=0.000 n=20) Concurrent-32 2.108n ± 7% 2.108n ± 6% ~ (p=0.644 n=20) PCG_DXSM-32 1.488n ± 2% goos: darwin goarch: arm64 pkg: math/rand/v2 cpu: Apple M1 │ 220860f76f.arm64 │ afa459a2f0.arm64 │ │ sec/op │ sec/op vs base │ SourceUint64-8 2.316n ± 1% 2.531n ± 0% +9.33% (p=0.000 n=20) GlobalInt64-8 2.183n ± 1% 2.177n ± 1% ~ (p=0.533 n=20) GlobalInt63Parallel-8 0.4331n ± 0% GlobalInt64Parallel-8 0.4319n ± 0% GlobalUint64-8 4.377n ± 2% 2.185n ± 1% -50.07% (p=0.000 n=20) GlobalUint64Parallel-8 0.9237n ± 0% 0.4295n ± 1% -53.50% (p=0.000 n=20) Int64-8 2.538n ± 1% 4.104n ± 0% +61.68% (p=0.000 n=20) Uint64-8 2.604n ± 1% 4.080n ± 0% +56.68% (p=0.000 n=20) GlobalIntN1000-8 3.857n ± 2% 2.814n ± 1% -27.04% (p=0.000 n=20) IntN1000-8 3.822n ± 2% 4.140n ± 0% +8.32% (p=0.000 n=20) Int64N1000-8 3.318n ± 0% 4.139n ± 0% +24.74% (p=0.000 n=20) Int64N1e8-8 3.349n ± 1% 4.140n ± 0% +23.64% (p=0.000 n=20) Int64N1e9-8 3.317n ± 2% 4.139n ± 0% +24.80% (p=0.000 n=20) Int64N2e9-8 3.317n ± 2% 4.140n ± 0% +24.81% (p=0.000 n=20) Int64N1e18-8 3.542n ± 1% 5.273n ± 0% +48.85% (p=0.000 n=20) Int64N2e18-8 5.087n ± 0% 6.059n ± 0% +19.12% (p=0.000 n=20) Int64N4e18-8 5.084n ± 0% 8.803n ± 0% +73.16% (p=0.000 n=20) Int32N1000-8 3.208n ± 2% 4.131n ± 0% +28.79% (p=0.000 n=20) Int32N1e8-8 3.610n ± 1% 4.131n ± 0% +14.43% (p=0.000 n=20) Int32N1e9-8 4.235n ± 0% 4.131n ± 0% -2.44% (p=0.000 n=20) Int32N2e9-8 4.229n ± 1% 4.131n ± 0% -2.33% (p=0.000 n=20) Float32-8 3.468n ± 0% 4.110n ± 0% +18.50% (p=0.000 n=20) Float64-8 3.447n ± 0% 4.104n ± 0% +19.05% (p=0.000 n=20) ExpFloat64-8 4.567n ± 0% 5.338n ± 0% +16.86% (p=0.000 n=20) NormFloat64-8 4.821n ± 0% 5.731n ± 0% +18.89% (p=0.000 n=20) Perm3-8 28.89n ± 0% 26.62n ± 0% -7.84% (p=0.000 n=20) Perm30-8 175.7n ± 0% 194.6n ± 2% +10.76% (p=0.000 n=20) Perm30ViaShuffle-8 153.5n ± 0% 156.4n ± 0% +1.86% (p=0.000 n=20) ShuffleOverhead-8 119.8n ± 1% 125.8n ± 0% +4.97% (p=0.000 n=20) Concurrent-8 2.433n ± 3% 2.654n ± 6% +9.13% (p=0.001 n=20) PCG_DXSM-8 2.531n ± 0% goos: linux goarch: 386 pkg: math/rand/v2 cpu: AMD Ryzen 9 7950X 16-Core Processor │ 220860f76f.386 │ afa459a2f0.386 │ │ sec/op │ sec/op vs base │ SourceUint64-32 2.370n ± 1% 7.680n ± 1% +224.05% (p=0.000 n=20) GlobalInt64-32 3.569n ± 1% 3.474n ± 3% -2.66% (p=0.001 n=20) GlobalInt63Parallel-32 0.3221n ± 1% GlobalInt64Parallel-32 0.3253n ± 0% GlobalUint64-32 8.797n ± 10% 3.433n ± 2% -60.98% (p=0.000 n=20) GlobalUint64Parallel-32 0.6351n ± 0% 0.3156n ± 0% -50.31% (p=0.000 n=20) Int64-32 2.612n ± 2% 7.707n ± 1% +195.04% (p=0.000 n=20) Uint64-32 3.350n ± 1% 7.714n ± 1% +130.25% (p=0.000 n=20) GlobalIntN1000-32 5.892n ± 1% 6.236n ± 1% +5.82% (p=0.000 n=20) IntN1000-32 4.546n ± 1% 10.410n ± 1% +128.97% (p=0.000 n=20) Int64N1000-32 14.59n ± 1% 10.97n ± 2% -24.75% (p=0.000 n=20) Int64N1e8-32 14.76n ± 2% 10.98n ± 1% -25.58% (p=0.000 n=20) Int64N1e9-32 16.57n ± 1% 10.95n ± 0% -33.90% (p=0.000 n=20) Int64N2e9-32 14.54n ± 1% 11.11n ± 1% -23.62% (p=0.000 n=20) Int64N1e18-32 16.14n ± 1% 15.18n ± 2% -5.95% (p=0.000 n=20) Int64N2e18-32 18.10n ± 1% 15.61n ± 1% -13.73% (p=0.000 n=20) Int64N4e18-32 18.65n ± 1% 19.23n ± 2% +3.08% (p=0.000 n=20) Int32N1000-32 3.560n ± 1% 10.345n ± 1% +190.55% (p=0.000 n=20) Int32N1e8-32 3.770n ± 2% 10.330n ± 1% +174.01% (p=0.000 n=20) Int32N1e9-32 4.098n ± 0% 10.350n ± 1% +152.53% (p=0.000 n=20) Int32N2e9-32 4.179n ± 1% 10.345n ± 1% +147.52% (p=0.000 n=20) Float32-32 21.18n ± 4% 13.57n ± 1% -35.93% (p=0.000 n=20) Float64-32 20.60n ± 2% 22.95n ± 4% +11.41% (p=0.000 n=20) ExpFloat64-32 13.07n ± 0% 15.23n ± 2% +16.48% (p=0.000 n=20) NormFloat64-32 7.738n ± 2% 13.780n ± 1% +78.08% (p=0.000 n=20) Perm3-32 36.73n ± 1% 46.62n ± 2% +26.91% (p=0.000 n=20) Perm30-32 211.9n ± 1% 400.7n ± 1% +89.05% (p=0.000 n=20) Perm30ViaShuffle-32 165.2n ± 1% 350.5n ± 1% +112.20% (p=0.000 n=20) ShuffleOverhead-32 133.9n ± 1% 326.0n ± 2% +143.37% (p=0.000 n=20) Concurrent-32 3.287n ± 2% 3.290n ± 0% ~ (p=0.365 n=20) PCG_DXSM-32 7.793n ± 2% For #61716. Change-Id: I4e9c0525b5f84a2ac46f23da9e365495e2d05777 Reviewed-on: https://go-review.googlesource.com/c/go/+/502506 Reviewed-by: Rob Pike Reviewed-by: Dmitri Shuralyov Auto-Submit: Russ Cox LUCI-TryBot-Result: Go LUCI --- api/next/61716.txt | 1 - src/math/rand/v2/auto_test.go | 2 +- src/math/rand/v2/example_test.go | 26 +- src/math/rand/v2/gen_cooked.go | 89 ----- src/math/rand/v2/rand.go | 16 +- src/math/rand/v2/rand_test.go | 24 +- src/math/rand/v2/regress_test.go | 614 +++++++++++++++---------------- src/math/rand/v2/rng.go | 252 ------------- 8 files changed, 334 insertions(+), 690 deletions(-) delete mode 100644 src/math/rand/v2/gen_cooked.go delete mode 100644 src/math/rand/v2/rng.go diff --git a/api/next/61716.txt b/api/next/61716.txt index ac974a6117..05b9bb8429 100644 --- a/api/next/61716.txt +++ b/api/next/61716.txt @@ -10,7 +10,6 @@ pkg math/rand/v2, func IntN(int) int #61716 pkg math/rand/v2, func N[$0 intType]($0) $0 #61716 pkg math/rand/v2, func New(Source) *Rand #61716 pkg math/rand/v2, func NewPCG(uint64, uint64) *PCG #61716 -pkg math/rand/v2, func NewSource(int64) Source #61716 pkg math/rand/v2, func NewZipf(*Rand, float64, float64, uint64) *Zipf #61716 pkg math/rand/v2, func NormFloat64() float64 #61716 pkg math/rand/v2, func Perm(int) []int #61716 diff --git a/src/math/rand/v2/auto_test.go b/src/math/rand/v2/auto_test.go index 8b1f7547d7..f689733d1e 100644 --- a/src/math/rand/v2/auto_test.go +++ b/src/math/rand/v2/auto_test.go @@ -26,7 +26,7 @@ func TestAuto(t *testing.T) { // Strictly speaking, we should look for them in order, // but this is good enough and not significantly more // likely to have a false positive. - r := New(NewSource(1)) + r := New(NewPCG(1, 0)) found := 0 for i := 0; i < 1000; i++ { x := r.Int64() diff --git a/src/math/rand/v2/example_test.go b/src/math/rand/v2/example_test.go index 0362111451..070b0ad0be 100644 --- a/src/math/rand/v2/example_test.go +++ b/src/math/rand/v2/example_test.go @@ -46,9 +46,9 @@ func Example() { // The use of the global functions is the same, without the receiver. func Example_rand() { // Create and seed the generator. - // Typically a non-fixed seed should be used, such as time.Now().UnixNano(). + // Typically a non-fixed seed should be used, such as Uint64(), Uint64(). // Using a fixed seed will produce the same output on every run. - r := rand.New(rand.NewSource(99)) + r := rand.New(rand.NewPCG(1, 2)) // The tabwriter here helps us generate aligned output. w := tabwriter.NewWriter(os.Stdout, 1, 1, 1, ' ', 0) @@ -83,17 +83,17 @@ func Example_rand() { // Perm generates a random permutation of the numbers [0, n). show("Perm", r.Perm(5), r.Perm(5), r.Perm(5)) // Output: - // Float32 0.73793465 0.38461488 0.9940225 - // Float64 0.6919607852308565 0.29140004584133117 0.2262092163027547 - // ExpFloat64 0.27263589649304043 1.3214739789908194 2.223639057715668 - // NormFloat64 -0.09361151905162404 -1.3531915625472757 0.03212053591352371 - // Int32 1824388269 1817075958 91420417 - // Int64 3546343826724305832 5724354148158589552 5239846799706671610 - // Uint32 1380114714 2295813601 961197529 - // IntN(10) 8 4 5 - // Int32N(10) 1 8 5 - // Int64N(10) 4 2 6 - // Perm [0 2 4 3 1] [0 4 2 3 1] [2 1 3 0 4] + // Float32 0.95955694 0.8076733 0.8135684 + // Float64 0.4297927436037299 0.797802349388613 0.3883664855410056 + // ExpFloat64 0.43463410545541104 0.5513632046504593 0.7426404617374481 + // NormFloat64 -0.9303318111676635 -0.04750789419852852 0.22248301107582735 + // Int32 2020777787 260808523 851126509 + // Int64 5231057920893523323 4257872588489500903 158397175702351138 + // Uint32 314478343 1418758728 208955345 + // IntN(10) 6 2 0 + // Int32N(10) 3 7 7 + // Int64N(10) 8 9 4 + // Perm [0 3 1 4 2] [4 1 2 0 3] [4 3 2 0 1] } func ExamplePerm() { diff --git a/src/math/rand/v2/gen_cooked.go b/src/math/rand/v2/gen_cooked.go deleted file mode 100644 index 782bb6671d..0000000000 --- a/src/math/rand/v2/gen_cooked.go +++ /dev/null @@ -1,89 +0,0 @@ -// Copyright 2009 The Go Authors. All rights reserved. -// Use of this source code is governed by a BSD-style -// license that can be found in the LICENSE file. - -//go:build ignore - -// This program computes the value of rngCooked in rng.go, -// which is used for seeding all instances of rand.Source. -// a 64bit and a 63bit version of the array is printed to -// the standard output. - -package main - -import "fmt" - -const ( - length = 607 - tap = 273 - mask = (1 << 63) - 1 - a = 48271 - m = (1 << 31) - 1 - q = 44488 - r = 3399 -) - -var ( - rngVec [length]int64 - rngTap, rngFeed int -) - -func seedrand(x int32) int32 { - hi := x / q - lo := x % q - x = a*lo - r*hi - if x < 0 { - x += m - } - return x -} - -func srand(seed int32) { - rngTap = 0 - rngFeed = length - tap - seed %= m - if seed < 0 { - seed += m - } else if seed == 0 { - seed = 89482311 - } - x := seed - for i := -20; i < length; i++ { - x = seedrand(x) - if i >= 0 { - var u int64 - u = int64(x) << 20 - x = seedrand(x) - u ^= int64(x) << 10 - x = seedrand(x) - u ^= int64(x) - rngVec[i] = u - } - } -} - -func vrand() int64 { - rngTap-- - if rngTap < 0 { - rngTap += length - } - rngFeed-- - if rngFeed < 0 { - rngFeed += length - } - x := (rngVec[rngFeed] + rngVec[rngTap]) - rngVec[rngFeed] = x - return x -} - -func main() { - srand(1) - for i := uint64(0); i < 7.8e12; i++ { - vrand() - } - fmt.Printf("rngVec after 7.8e12 calls to vrand:\n%#v\n", rngVec) - for i := range rngVec { - rngVec[i] &= mask - } - fmt.Printf("lower 63bit of rngVec after 7.8e12 calls to vrand:\n%#v\n", rngVec) -} diff --git a/src/math/rand/v2/rand.go b/src/math/rand/v2/rand.go index c6030f77fc..5382f809e0 100644 --- a/src/math/rand/v2/rand.go +++ b/src/math/rand/v2/rand.go @@ -30,20 +30,6 @@ type Source interface { Uint64() uint64 } -// NewSource returns a new pseudo-random Source seeded with the given value. -// Unlike the default Source used by top-level functions, this source is not -// safe for concurrent use by multiple goroutines. -// The returned Source implements Source64. -func NewSource(seed int64) Source { - return newSource(seed) -} - -func newSource(seed int64) *rngSource { - var rng rngSource - rng.Seed(seed) - return &rng -} - // A Rand is a source of random numbers. type Rand struct { src Source @@ -273,7 +259,7 @@ func fastrand64() uint64 type fastSource struct{} func (*fastSource) Int64() int64 { - return int64(fastrand64() & rngMask) + return int64(fastrand64() << 1 >> 1) } func (*fastSource) Uint64() uint64 { diff --git a/src/math/rand/v2/rand_test.go b/src/math/rand/v2/rand_test.go index a9c9e1d5b9..c4b53fa93a 100644 --- a/src/math/rand/v2/rand_test.go +++ b/src/math/rand/v2/rand_test.go @@ -46,7 +46,7 @@ func nearEqual(a, b, closeEnough, maxError float64) bool { return absDiff/max(math.Abs(a), math.Abs(b)) < maxError } -var testSeeds = []int64{1, 1754801282, 1698661970, 1550503961} +var testSeeds = []uint64{1, 1754801282, 1698661970, 1550503961} // checkSimilarDistribution returns success if the mean and stddev of the // two statsResults are similar. @@ -104,8 +104,8 @@ func checkSampleSliceDistributions(t *testing.T, samples []float64, nslices int, // Normal distribution tests // -func generateNormalSamples(nsamples int, mean, stddev float64, seed int64) []float64 { - r := New(NewSource(seed)) +func generateNormalSamples(nsamples int, mean, stddev float64, seed uint64) []float64 { + r := New(NewPCG(seed, seed)) samples := make([]float64, nsamples) for i := range samples { samples[i] = r.NormFloat64()*stddev + mean @@ -113,7 +113,7 @@ func generateNormalSamples(nsamples int, mean, stddev float64, seed int64) []flo return samples } -func testNormalDistribution(t *testing.T, nsamples int, mean, stddev float64, seed int64) { +func testNormalDistribution(t *testing.T, nsamples int, mean, stddev float64, seed uint64) { //fmt.Printf("testing nsamples=%v mean=%v stddev=%v seed=%v\n", nsamples, mean, stddev, seed); samples := generateNormalSamples(nsamples, mean, stddev, seed) @@ -161,8 +161,8 @@ func TestNonStandardNormalValues(t *testing.T) { // Exponential distribution tests // -func generateExponentialSamples(nsamples int, rate float64, seed int64) []float64 { - r := New(NewSource(seed)) +func generateExponentialSamples(nsamples int, rate float64, seed uint64) []float64 { + r := New(NewPCG(seed, seed)) samples := make([]float64, nsamples) for i := range samples { samples[i] = r.ExpFloat64() / rate @@ -170,7 +170,7 @@ func generateExponentialSamples(nsamples int, rate float64, seed int64) []float6 return samples } -func testExponentialDistribution(t *testing.T, nsamples int, rate float64, seed int64) { +func testExponentialDistribution(t *testing.T, nsamples int, rate float64, seed uint64) { //fmt.Printf("testing nsamples=%v rate=%v seed=%v\n", nsamples, rate, seed); mean := 1 / rate @@ -398,7 +398,7 @@ func encodePerm(s []int) int { // TestUniformFactorial tests several ways of generating a uniform value in [0, n!). func TestUniformFactorial(t *testing.T) { - r := New(NewSource(testSeeds[0])) + r := New(NewPCG(1, 2)) top := 6 if testing.Short() { top = 3 @@ -436,8 +436,8 @@ func TestUniformFactorial(t *testing.T) { // See https://en.wikipedia.org/wiki/Pearson%27s_chi-squared_test and // https://www.johndcook.com/Beautiful_Testing_ch10.pdf. nsamples := 10 * nfact - if nsamples < 500 { - nsamples = 500 + if nsamples < 1000 { + nsamples = 1000 } samples := make([]float64, nsamples) for i := range samples { @@ -476,11 +476,11 @@ func TestUniformFactorial(t *testing.T) { var Sink uint64 func testRand() *Rand { - return New(NewSource(1)) + return New(NewPCG(1, 2)) } func BenchmarkSourceUint64(b *testing.B) { - s := NewSource(1) + s := NewPCG(1, 2) var t uint64 for n := b.N; n > 0; n-- { t += s.Uint64() diff --git a/src/math/rand/v2/regress_test.go b/src/math/rand/v2/regress_test.go index 541e9a7b18..c85d58408d 100644 --- a/src/math/rand/v2/regress_test.go +++ b/src/math/rand/v2/regress_test.go @@ -33,7 +33,7 @@ func TestRegress(t *testing.T) { var uint64s = []uint64{1, 10, 32, 1 << 20, 1<<20 + 1, 1000000000, 1 << 30, 1<<31 - 2, 1<<31 - 1, 1000000000000000000, 1 << 60, 1<<63 - 2, 1<<63 - 1, 1<<64 - 2, 1<<64 - 1} var permSizes = []int{0, 1, 5, 8, 9, 10, 16} - n := reflect.TypeOf(New(NewSource(1))).NumMethod() + n := reflect.TypeOf(New(NewPCG(1, 2))).NumMethod() p := 0 var buf bytes.Buffer if *update { @@ -43,7 +43,7 @@ func TestRegress(t *testing.T) { if *update && i > 0 { fmt.Fprintf(&buf, "\n") } - r := New(NewSource(1)) + r := New(NewPCG(1, 2)) rv := reflect.ValueOf(r) m := rv.Type().Method(i) mv := rv.Method(i) @@ -225,339 +225,339 @@ func replace(t *testing.T, file string, new []byte) { } var regressGolden = []any{ - float64(0.018945741402288857), // ExpFloat64() - float64(0.13829043737893842), // ExpFloat64() - float64(1.1409883497761604), // ExpFloat64() - float64(1.2449542292186253), // ExpFloat64() - float64(0.4849966704675476), // ExpFloat64() - float64(0.08948056191408837), // ExpFloat64() - float64(0.41380878045769276), // ExpFloat64() - float64(0.31325729628567145), // ExpFloat64() - float64(0.23118058048615886), // ExpFloat64() - float64(0.2090943007446), // ExpFloat64() - float64(2.6861652769471456), // ExpFloat64() - float64(1.3811947596783387), // ExpFloat64() - float64(1.5595976199841015), // ExpFloat64() - float64(2.3469708688771744), // ExpFloat64() - float64(0.5882760784580738), // ExpFloat64() - float64(0.33463787922271115), // ExpFloat64() - float64(0.8799304551478242), // ExpFloat64() - float64(1.616532211418378), // ExpFloat64() - float64(0.09548420514080316), // ExpFloat64() - float64(2.448910012295588), // ExpFloat64() + float64(0.5931317151369719), // ExpFloat64() + float64(0.0680034588807843), // ExpFloat64() + float64(0.036496967459790364), // ExpFloat64() + float64(2.460335459645379), // ExpFloat64() + float64(1.5792300208419903), // ExpFloat64() + float64(0.9149501499404387), // ExpFloat64() + float64(0.43463410545541104), // ExpFloat64() + float64(0.5513632046504593), // ExpFloat64() + float64(0.7426404617374481), // ExpFloat64() + float64(1.2334925132631804), // ExpFloat64() + float64(0.892529142200442), // ExpFloat64() + float64(0.21508763681487764), // ExpFloat64() + float64(1.0208588200798545), // ExpFloat64() + float64(0.7650739736831382), // ExpFloat64() + float64(0.7772788529257701), // ExpFloat64() + float64(1.102732861281323), // ExpFloat64() + float64(0.6982243043885805), // ExpFloat64() + float64(0.4981788638202421), // ExpFloat64() + float64(0.15806532306947937), // ExpFloat64() + float64(0.9419163802459202), // ExpFloat64() - float32(0.39651686), // Float32() - float32(0.38516325), // Float32() - float32(0.06368679), // Float32() - float32(0.027415931), // Float32() - float32(0.3535996), // Float32() - float32(0.9133533), // Float32() - float32(0.40153843), // Float32() - float32(0.034464598), // Float32() - float32(0.4120984), // Float32() - float32(0.51671815), // Float32() - float32(0.9472164), // Float32() - float32(0.14591497), // Float32() - float32(0.42577565), // Float32() - float32(0.7241202), // Float32() - float32(0.7114463), // Float32() - float32(0.01790011), // Float32() - float32(0.22837132), // Float32() - float32(0.5170377), // Float32() - float32(0.9228385), // Float32() - float32(0.9747907), // Float32() + float32(0.95955694), // Float32() + float32(0.8076733), // Float32() + float32(0.8135684), // Float32() + float32(0.92872405), // Float32() + float32(0.97472525), // Float32() + float32(0.5485458), // Float32() + float32(0.97740936), // Float32() + float32(0.042272687), // Float32() + float32(0.99663067), // Float32() + float32(0.035181105), // Float32() + float32(0.45059562), // Float32() + float32(0.86597633), // Float32() + float32(0.8954844), // Float32() + float32(0.090798736), // Float32() + float32(0.46218646), // Float32() + float32(0.5955118), // Float32() + float32(0.08985227), // Float32() + float32(0.19820237), // Float32() + float32(0.7443699), // Float32() + float32(0.56461), // Float32() - float64(0.17213489113047786), // Float64() - float64(0.0813061580926816), // Float64() - float64(0.5094944957341486), // Float64() - float64(0.2193276794677107), // Float64() - float64(0.8287970009760902), // Float64() - float64(0.30682661592006877), // Float64() - float64(0.21230767869565503), // Float64() - float64(0.2757168463782187), // Float64() - float64(0.2967873684321951), // Float64() - float64(0.13374523933395033), // Float64() - float64(0.5777315861149934), // Float64() - float64(0.16732005385910476), // Float64() - float64(0.40620552435192425), // Float64() - float64(0.7929618428784644), // Float64() - float64(0.691570514257735), // Float64() - float64(0.14320118008134408), // Float64() - float64(0.8269708087758376), // Float64() - float64(0.13630191289931604), // Float64() - float64(0.38270814230149663), // Float64() - float64(0.7983258549906352), // Float64() + float64(0.6764556596678251), // Float64() + float64(0.4613862177205994), // Float64() + float64(0.5085473976760264), // Float64() + float64(0.4297927436037299), // Float64() + float64(0.797802349388613), // Float64() + float64(0.3883664855410056), // Float64() + float64(0.8192750264193612), // Float64() + float64(0.3381816951746133), // Float64() + float64(0.9730458047755973), // Float64() + float64(0.281449117585586), // Float64() + float64(0.6047654075331631), // Float64() + float64(0.9278107175107462), // Float64() + float64(0.16387541502137226), // Float64() + float64(0.7263900707339023), // Float64() + float64(0.6974917552729882), // Float64() + float64(0.7640946923790318), // Float64() + float64(0.7188183661358182), // Float64() + float64(0.5856191500346635), // Float64() + float64(0.9549597149363428), // Float64() + float64(0.5168804691962643), // Float64() - int64(5577006791947779410), // Int() - int64(8674665223082153551), // Int() - int64(6129484611666145821), // Int() - int64(4037200794235010051), // Int() - int64(3916589616287113937), // Int() - int64(6334824724549167320), // Int() - int64(605394647632969758), // Int() - int64(1443635317331776148), // Int() - int64(894385949183117216), // Int() - int64(2775422040480279449), // Int() - int64(4751997750760398084), // Int() - int64(7504504064263669287), // Int() - int64(1976235410884491574), // Int() - int64(3510942875414458836), // Int() - int64(2933568871211445515), // Int() - int64(4324745483838182873), // Int() - int64(2610529275472644968), // Int() - int64(2703387474910584091), // Int() - int64(6263450610539110790), // Int() - int64(2015796113853353331), // Int() + int64(4969059760275911952), // Int() + int64(2147869220224756844), // Int() + int64(5246770554000605320), // Int() + int64(5471241176507662746), // Int() + int64(4321634407747778896), // Int() + int64(760102831717374652), // Int() + int64(9221744211007427193), // Int() + int64(8289669384274456462), // Int() + int64(2449715415482412441), // Int() + int64(3389241988064777392), // Int() + int64(2986830195847294191), // Int() + int64(8204908297817606218), // Int() + int64(8134976985547166651), // Int() + int64(2240328155279531677), // Int() + int64(7311121042813227358), // Int() + int64(5231057920893523323), // Int() + int64(4257872588489500903), // Int() + int64(158397175702351138), // Int() + int64(1350674201389090105), // Int() + int64(6093522341581845358), // Int() - int32(649249040), // Int32() - int32(1009863943), // Int32() - int32(1787307747), // Int32() - int32(1543733853), // Int32() - int32(455951040), // Int32() - int32(737470659), // Int32() - int32(1144219036), // Int32() - int32(1241803094), // Int32() - int32(104120228), // Int32() - int32(1396843474), // Int32() - int32(553205347), // Int32() - int32(873639255), // Int32() - int32(1303805905), // Int32() - int32(408727544), // Int32() - int32(1415254188), // Int32() - int32(503466637), // Int32() - int32(1377647429), // Int32() - int32(1388457546), // Int32() - int32(729161618), // Int32() - int32(1308411377), // Int32() + int32(1652216515), // Int32() + int32(1323786710), // Int32() + int32(1684546306), // Int32() + int32(1710678126), // Int32() + int32(503104460), // Int32() + int32(88487615), // Int32() + int32(1073552320), // Int32() + int32(965044529), // Int32() + int32(285184408), // Int32() + int32(394559696), // Int32() + int32(1421454622), // Int32() + int32(955177040), // Int32() + int32(2020777787), // Int32() + int32(260808523), // Int32() + int32(851126509), // Int32() + int32(1682717115), // Int32() + int32(1569423431), // Int32() + int32(1092181682), // Int32() + int32(157239171), // Int32() + int32(709379364), // Int32() - int32(0), // Int32N(1) - int32(4), // Int32N(10) - int32(29), // Int32N(32) - int32(883715), // Int32N(1048576) - int32(222632), // Int32N(1048577) - int32(343411536), // Int32N(1000000000) - int32(957743134), // Int32N(1073741824) - int32(1241803092), // Int32N(2147483646) - int32(104120228), // Int32N(2147483647) - int32(0), // Int32N(1) - int32(2), // Int32N(10) - int32(7), // Int32N(32) - int32(96566), // Int32N(1048576) - int32(199574), // Int32N(1048577) - int32(659029087), // Int32N(1000000000) - int32(606492121), // Int32N(1073741824) - int32(1377647428), // Int32N(2147483646) - int32(1388457546), // Int32N(2147483647) int32(0), // Int32N(1) int32(6), // Int32N(10) + int32(8), // Int32N(32) + int32(704922), // Int32N(1048576) + int32(245656), // Int32N(1048577) + int32(41205257), // Int32N(1000000000) + int32(43831929), // Int32N(1073741824) + int32(965044528), // Int32N(2147483646) + int32(285184408), // Int32N(2147483647) + int32(0), // Int32N(1) + int32(6), // Int32N(10) + int32(10), // Int32N(32) + int32(283579), // Int32N(1048576) + int32(127348), // Int32N(1048577) + int32(396336665), // Int32N(1000000000) + int32(911873403), // Int32N(1073741824) + int32(1569423430), // Int32N(2147483646) + int32(1092181681), // Int32N(2147483647) + int32(0), // Int32N(1) + int32(3), // Int32N(10) - int64(5577006791947779410), // Int64() - int64(8674665223082153551), // Int64() - int64(6129484611666145821), // Int64() - int64(4037200794235010051), // Int64() - int64(3916589616287113937), // Int64() - int64(6334824724549167320), // Int64() - int64(605394647632969758), // Int64() - int64(1443635317331776148), // Int64() - int64(894385949183117216), // Int64() - int64(2775422040480279449), // Int64() - int64(4751997750760398084), // Int64() - int64(7504504064263669287), // Int64() - int64(1976235410884491574), // Int64() - int64(3510942875414458836), // Int64() - int64(2933568871211445515), // Int64() - int64(4324745483838182873), // Int64() - int64(2610529275472644968), // Int64() - int64(2703387474910584091), // Int64() - int64(6263450610539110790), // Int64() - int64(2015796113853353331), // Int64() + int64(4969059760275911952), // Int64() + int64(2147869220224756844), // Int64() + int64(5246770554000605320), // Int64() + int64(5471241176507662746), // Int64() + int64(4321634407747778896), // Int64() + int64(760102831717374652), // Int64() + int64(9221744211007427193), // Int64() + int64(8289669384274456462), // Int64() + int64(2449715415482412441), // Int64() + int64(3389241988064777392), // Int64() + int64(2986830195847294191), // Int64() + int64(8204908297817606218), // Int64() + int64(8134976985547166651), // Int64() + int64(2240328155279531677), // Int64() + int64(7311121042813227358), // Int64() + int64(5231057920893523323), // Int64() + int64(4257872588489500903), // Int64() + int64(158397175702351138), // Int64() + int64(1350674201389090105), // Int64() + int64(6093522341581845358), // Int64() - int64(0), // Int64N(1) - int64(4), // Int64N(10) - int64(29), // Int64N(32) - int64(883715), // Int64N(1048576) - int64(222632), // Int64N(1048577) - int64(343411536), // Int64N(1000000000) - int64(957743134), // Int64N(1073741824) - int64(1241803092), // Int64N(2147483646) - int64(104120228), // Int64N(2147483647) - int64(650455930292643530), // Int64N(1000000000000000000) - int64(140311732333010180), // Int64N(1152921504606846976) - int64(3752252032131834642), // Int64N(9223372036854775806) - int64(5599803723869633690), // Int64N(9223372036854775807) int64(0), // Int64N(1) int64(6), // Int64N(10) - int64(25), // Int64N(32) - int64(920424), // Int64N(1048576) - int64(677958), // Int64N(1048577) - int64(339542337), // Int64N(1000000000) - int64(701992307), // Int64N(1073741824) + int64(8), // Int64N(32) + int64(704922), // Int64N(1048576) + int64(245656), // Int64N(1048577) + int64(41205257), // Int64N(1000000000) + int64(43831929), // Int64N(1073741824) + int64(965044528), // Int64N(2147483646) + int64(285184408), // Int64N(2147483647) + int64(183731176326946086), // Int64N(1000000000000000000) + int64(680987186633600239), // Int64N(1152921504606846976) + int64(4102454148908803108), // Int64N(9223372036854775806) + int64(8679174511200971228), // Int64N(9223372036854775807) + int64(0), // Int64N(1) + int64(3), // Int64N(10) + int64(27), // Int64N(32) + int64(665831), // Int64N(1048576) + int64(533292), // Int64N(1048577) + int64(73220195), // Int64N(1000000000) + int64(686060398), // Int64N(1073741824) - int64(0), // IntN(1) - int64(4), // IntN(10) - int64(29), // IntN(32) - int64(883715), // IntN(1048576) - int64(222632), // IntN(1048577) - int64(343411536), // IntN(1000000000) - int64(957743134), // IntN(1073741824) - int64(1241803092), // IntN(2147483646) - int64(104120228), // IntN(2147483647) - int64(650455930292643530), // IntN(1000000000000000000) - int64(140311732333010180), // IntN(1152921504606846976) - int64(3752252032131834642), // IntN(9223372036854775806) - int64(5599803723869633690), // IntN(9223372036854775807) int64(0), // IntN(1) int64(6), // IntN(10) - int64(25), // IntN(32) - int64(920424), // IntN(1048576) - int64(677958), // IntN(1048577) - int64(339542337), // IntN(1000000000) - int64(701992307), // IntN(1073741824) + int64(8), // IntN(32) + int64(704922), // IntN(1048576) + int64(245656), // IntN(1048577) + int64(41205257), // IntN(1000000000) + int64(43831929), // IntN(1073741824) + int64(965044528), // IntN(2147483646) + int64(285184408), // IntN(2147483647) + int64(183731176326946086), // IntN(1000000000000000000) + int64(680987186633600239), // IntN(1152921504606846976) + int64(4102454148908803108), // IntN(9223372036854775806) + int64(8679174511200971228), // IntN(9223372036854775807) + int64(0), // IntN(1) + int64(3), // IntN(10) + int64(27), // IntN(32) + int64(665831), // IntN(1048576) + int64(533292), // IntN(1048577) + int64(73220195), // IntN(1000000000) + int64(686060398), // IntN(1073741824) - float64(0.06909351197715208), // NormFloat64() - float64(0.5938704963270934), // NormFloat64() - float64(1.306028863617345), // NormFloat64() - float64(1.4117443127537266), // NormFloat64() - float64(0.15696085092285333), // NormFloat64() - float64(1.360954184661658), // NormFloat64() - float64(0.34312984093649135), // NormFloat64() - float64(0.7340067314938814), // NormFloat64() - float64(0.22135434353553696), // NormFloat64() - float64(-0.15741313389982836), // NormFloat64() - float64(-1.080896970111088), // NormFloat64() - float64(-0.6107370548788273), // NormFloat64() - float64(-2.3550050260853643), // NormFloat64() - float64(1.8363976597396832), // NormFloat64() - float64(-0.7167650947520989), // NormFloat64() - float64(0.6860847654927735), // NormFloat64() - float64(0.3403802538398155), // NormFloat64() - float64(-1.3884780626234523), // NormFloat64() - float64(0.14097321427512907), // NormFloat64() - float64(-1.032800550788109), // NormFloat64() + float64(0.37944549835531083), // NormFloat64() + float64(0.07473804659119399), // NormFloat64() + float64(0.20006841200604142), // NormFloat64() + float64(-1.1253144115495104), // NormFloat64() + float64(-0.4005883316435388), // NormFloat64() + float64(-3.0853771402394736), // NormFloat64() + float64(1.932330243076978), // NormFloat64() + float64(1.726131393719264), // NormFloat64() + float64(-0.11707238034168332), // NormFloat64() + float64(-0.9303318111676635), // NormFloat64() + float64(-0.04750789419852852), // NormFloat64() + float64(0.22248301107582735), // NormFloat64() + float64(-1.83630520614272), // NormFloat64() + float64(0.7259521217919809), // NormFloat64() + float64(0.8806882871913041), // NormFloat64() + float64(-1.5022903484270484), // NormFloat64() + float64(0.5972577266810571), // NormFloat64() + float64(1.5631937339973658), // NormFloat64() + float64(-0.3841235370075905), // NormFloat64() + float64(-0.2967295854430667), // NormFloat64() []int{}, // Perm(0) []int{0}, // Perm(1) - []int{0, 4, 2, 3, 1}, // Perm(5) - []int{4, 5, 7, 0, 6, 3, 2, 1}, // Perm(8) - []int{2, 5, 4, 0, 7, 8, 1, 6, 3}, // Perm(9) - []int{9, 8, 7, 1, 3, 2, 5, 4, 0, 6}, // Perm(10) - []int{1, 5, 8, 11, 14, 2, 7, 10, 15, 9, 13, 6, 0, 3, 12, 4}, // Perm(16) + []int{1, 4, 2, 0, 3}, // Perm(5) + []int{4, 3, 6, 1, 5, 2, 7, 0}, // Perm(8) + []int{6, 5, 1, 8, 7, 2, 0, 3, 4}, // Perm(9) + []int{9, 4, 2, 5, 6, 8, 1, 7, 0, 3}, // Perm(10) + []int{5, 9, 3, 1, 4, 2, 10, 7, 15, 11, 0, 14, 13, 8, 6, 12}, // Perm(16) []int{}, // Perm(0) []int{0}, // Perm(1) - []int{4, 1, 2, 0, 3}, // Perm(5) - []int{7, 0, 3, 5, 4, 1, 2, 6}, // Perm(8) - []int{6, 7, 1, 2, 0, 5, 8, 3, 4}, // Perm(9) - []int{7, 2, 8, 6, 1, 5, 9, 0, 3, 4}, // Perm(10) - []int{11, 0, 5, 1, 12, 4, 13, 9, 7, 2, 15, 10, 8, 14, 6, 3}, // Perm(16) + []int{4, 2, 1, 3, 0}, // Perm(5) + []int{0, 2, 3, 1, 5, 4, 6, 7}, // Perm(8) + []int{2, 0, 8, 3, 4, 7, 6, 5, 1}, // Perm(9) + []int{0, 6, 5, 3, 8, 4, 1, 2, 9, 7}, // Perm(10) + []int{9, 14, 4, 11, 13, 8, 0, 6, 2, 12, 3, 7, 1, 10, 5, 15}, // Perm(16) []int{}, // Perm(0) []int{0}, // Perm(1) []int{2, 4, 0, 3, 1}, // Perm(5) - []int{4, 2, 5, 0, 6, 3, 1, 7}, // Perm(8) - []int{3, 2, 8, 6, 5, 7, 1, 4, 0}, // Perm(9) - []int{2, 0, 7, 5, 6, 1, 8, 3, 4, 9}, // Perm(10) + []int{3, 2, 1, 0, 7, 5, 4, 6}, // Perm(8) + []int{1, 3, 4, 5, 0, 2, 7, 8, 6}, // Perm(9) + []int{1, 8, 4, 7, 2, 6, 5, 9, 0, 3}, // Perm(10) - uint32(1298498081), // Uint32() - uint32(2019727887), // Uint32() - uint32(3574615495), // Uint32() - uint32(3087467707), // Uint32() - uint32(911902081), // Uint32() - uint32(1474941318), // Uint32() - uint32(2288438073), // Uint32() - uint32(2483606188), // Uint32() - uint32(208240456), // Uint32() - uint32(2793686948), // Uint32() - uint32(1106410694), // Uint32() - uint32(1747278511), // Uint32() - uint32(2607611810), // Uint32() - uint32(817455089), // Uint32() - uint32(2830508376), // Uint32() - uint32(1006933274), // Uint32() - uint32(2755294859), // Uint32() - uint32(2776915093), // Uint32() - uint32(1458323237), // Uint32() - uint32(2616822754), // Uint32() + uint32(3304433030), // Uint32() + uint32(2647573421), // Uint32() + uint32(3369092613), // Uint32() + uint32(3421356252), // Uint32() + uint32(1006208920), // Uint32() + uint32(176975231), // Uint32() + uint32(2147104640), // Uint32() + uint32(1930089058), // Uint32() + uint32(570368816), // Uint32() + uint32(789119393), // Uint32() + uint32(2842909244), // Uint32() + uint32(1910354080), // Uint32() + uint32(4041555575), // Uint32() + uint32(521617046), // Uint32() + uint32(1702253018), // Uint32() + uint32(3365434230), // Uint32() + uint32(3138846863), // Uint32() + uint32(2184363364), // Uint32() + uint32(314478343), // Uint32() + uint32(1418758728), // Uint32() - uint32(0), // Uint32N(1) - uint32(4), // Uint32N(10) - uint32(29), // Uint32N(32) - uint32(883715), // Uint32N(1048576) - uint32(222632), // Uint32N(1048577) - uint32(343411536), // Uint32N(1000000000) - uint32(957743134), // Uint32N(1073741824) - uint32(1241803092), // Uint32N(2147483646) - uint32(104120228), // Uint32N(2147483647) - uint32(2793686946), // Uint32N(4294967294) - uint32(1106410694), // Uint32N(4294967295) uint32(0), // Uint32N(1) uint32(6), // Uint32N(10) - uint32(20), // Uint32N(32) - uint32(240907), // Uint32N(1048576) - uint32(245833), // Uint32N(1048577) - uint32(641517075), // Uint32N(1000000000) - uint32(340335899), // Uint32N(1073741824) - uint32(729161617), // Uint32N(2147483646) - uint32(1308411376), // Uint32N(2147483647) + uint32(8), // Uint32N(32) + uint32(704922), // Uint32N(1048576) + uint32(245656), // Uint32N(1048577) + uint32(41205257), // Uint32N(1000000000) + uint32(43831929), // Uint32N(1073741824) + uint32(965044528), // Uint32N(2147483646) + uint32(285184408), // Uint32N(2147483647) + uint32(789119393), // Uint32N(4294967294) + uint32(2842909244), // Uint32N(4294967295) + uint32(0), // Uint32N(1) + uint32(9), // Uint32N(10) + uint32(29), // Uint32N(32) + uint32(266590), // Uint32N(1048576) + uint32(821640), // Uint32N(1048577) + uint32(730819735), // Uint32N(1000000000) + uint32(522841378), // Uint32N(1073741824) + uint32(157239171), // Uint32N(2147483646) + uint32(709379364), // Uint32N(2147483647) - uint64(5577006791947779410), // Uint64() - uint64(8674665223082153551), // Uint64() - uint64(15352856648520921629), // Uint64() - uint64(13260572831089785859), // Uint64() - uint64(3916589616287113937), // Uint64() - uint64(6334824724549167320), // Uint64() - uint64(9828766684487745566), // Uint64() - uint64(10667007354186551956), // Uint64() - uint64(894385949183117216), // Uint64() - uint64(11998794077335055257), // Uint64() - uint64(4751997750760398084), // Uint64() - uint64(7504504064263669287), // Uint64() - uint64(11199607447739267382), // Uint64() - uint64(3510942875414458836), // Uint64() - uint64(12156940908066221323), // Uint64() - uint64(4324745483838182873), // Uint64() - uint64(11833901312327420776), // Uint64() - uint64(11926759511765359899), // Uint64() - uint64(6263450610539110790), // Uint64() - uint64(11239168150708129139), // Uint64() + uint64(14192431797130687760), // Uint64() + uint64(11371241257079532652), // Uint64() + uint64(14470142590855381128), // Uint64() + uint64(14694613213362438554), // Uint64() + uint64(4321634407747778896), // Uint64() + uint64(760102831717374652), // Uint64() + uint64(9221744211007427193), // Uint64() + uint64(8289669384274456462), // Uint64() + uint64(2449715415482412441), // Uint64() + uint64(3389241988064777392), // Uint64() + uint64(12210202232702069999), // Uint64() + uint64(8204908297817606218), // Uint64() + uint64(17358349022401942459), // Uint64() + uint64(2240328155279531677), // Uint64() + uint64(7311121042813227358), // Uint64() + uint64(14454429957748299131), // Uint64() + uint64(13481244625344276711), // Uint64() + uint64(9381769212557126946), // Uint64() + uint64(1350674201389090105), // Uint64() + uint64(6093522341581845358), // Uint64() - uint64(0), // Uint64N(1) - uint64(4), // Uint64N(10) - uint64(29), // Uint64N(32) - uint64(883715), // Uint64N(1048576) - uint64(222632), // Uint64N(1048577) - uint64(343411536), // Uint64N(1000000000) - uint64(957743134), // Uint64N(1073741824) - uint64(1241803092), // Uint64N(2147483646) - uint64(104120228), // Uint64N(2147483647) - uint64(650455930292643530), // Uint64N(1000000000000000000) - uint64(140311732333010180), // Uint64N(1152921504606846976) - uint64(3752252032131834642), // Uint64N(9223372036854775806) - uint64(5599803723869633690), // Uint64N(9223372036854775807) - uint64(3510942875414458835), // Uint64N(18446744073709551614) - uint64(12156940908066221322), // Uint64N(18446744073709551615) - uint64(0), // Uint64N(1) - uint64(6), // Uint64N(10) - uint64(27), // Uint64N(32) - uint64(205190), // Uint64N(1048576) - uint64(638873), // Uint64N(1048577) + uint64(0), // Uint64N(1) + uint64(6), // Uint64N(10) + uint64(8), // Uint64N(32) + uint64(704922), // Uint64N(1048576) + uint64(245656), // Uint64N(1048577) + uint64(41205257), // Uint64N(1000000000) + uint64(43831929), // Uint64N(1073741824) + uint64(965044528), // Uint64N(2147483646) + uint64(285184408), // Uint64N(2147483647) + uint64(183731176326946086), // Uint64N(1000000000000000000) + uint64(680987186633600239), // Uint64N(1152921504606846976) + uint64(4102454148908803108), // Uint64N(9223372036854775806) + uint64(8679174511200971228), // Uint64N(9223372036854775807) + uint64(2240328155279531676), // Uint64N(18446744073709551614) + uint64(7311121042813227357), // Uint64N(18446744073709551615) + uint64(0), // Uint64N(1) + uint64(7), // Uint64N(10) + uint64(2), // Uint64N(32) + uint64(312633), // Uint64N(1048576) + uint64(346376), // Uint64N(1048577) - uint64(0), // UintN(1) - uint64(4), // UintN(10) - uint64(29), // UintN(32) - uint64(883715), // UintN(1048576) - uint64(222632), // UintN(1048577) - uint64(343411536), // UintN(1000000000) - uint64(957743134), // UintN(1073741824) - uint64(1241803092), // UintN(2147483646) - uint64(104120228), // UintN(2147483647) - uint64(650455930292643530), // UintN(1000000000000000000) - uint64(140311732333010180), // UintN(1152921504606846976) - uint64(3752252032131834642), // UintN(9223372036854775806) - uint64(5599803723869633690), // UintN(9223372036854775807) - uint64(3510942875414458835), // UintN(18446744073709551614) - uint64(12156940908066221322), // UintN(18446744073709551615) - uint64(0), // UintN(1) - uint64(6), // UintN(10) - uint64(27), // UintN(32) - uint64(205190), // UintN(1048576) - uint64(638873), // UintN(1048577) + uint64(0), // UintN(1) + uint64(6), // UintN(10) + uint64(8), // UintN(32) + uint64(704922), // UintN(1048576) + uint64(245656), // UintN(1048577) + uint64(41205257), // UintN(1000000000) + uint64(43831929), // UintN(1073741824) + uint64(965044528), // UintN(2147483646) + uint64(285184408), // UintN(2147483647) + uint64(183731176326946086), // UintN(1000000000000000000) + uint64(680987186633600239), // UintN(1152921504606846976) + uint64(4102454148908803108), // UintN(9223372036854775806) + uint64(8679174511200971228), // UintN(9223372036854775807) + uint64(2240328155279531676), // UintN(18446744073709551614) + uint64(7311121042813227357), // UintN(18446744073709551615) + uint64(0), // UintN(1) + uint64(7), // UintN(10) + uint64(2), // UintN(32) + uint64(312633), // UintN(1048576) + uint64(346376), // UintN(1048577) } diff --git a/src/math/rand/v2/rng.go b/src/math/rand/v2/rng.go deleted file mode 100644 index 841957e8fd..0000000000 --- a/src/math/rand/v2/rng.go +++ /dev/null @@ -1,252 +0,0 @@ -// Copyright 2009 The Go Authors. All rights reserved. -// Use of this source code is governed by a BSD-style -// license that can be found in the LICENSE file. - -package rand - -/* - * Uniform distribution - * - * algorithm by - * DP Mitchell and JA Reeds - */ - -const ( - rngLen = 607 - rngTap = 273 - rngMax = 1 << 63 - rngMask = rngMax - 1 - int32max = (1 << 31) - 1 -) - -var ( - // rngCooked used for seeding. See gen_cooked.go for details. - rngCooked [rngLen]int64 = [...]int64{ - -4181792142133755926, -4576982950128230565, 1395769623340756751, 5333664234075297259, - -6347679516498800754, 9033628115061424579, 7143218595135194537, 4812947590706362721, - 7937252194349799378, 5307299880338848416, 8209348851763925077, -7107630437535961764, - 4593015457530856296, 8140875735541888011, -5903942795589686782, -603556388664454774, - -7496297993371156308, 113108499721038619, 4569519971459345583, -4160538177779461077, - -6835753265595711384, -6507240692498089696, 6559392774825876886, 7650093201692370310, - 7684323884043752161, -8965504200858744418, -2629915517445760644, 271327514973697897, - -6433985589514657524, 1065192797246149621, 3344507881999356393, -4763574095074709175, - 7465081662728599889, 1014950805555097187, -4773931307508785033, -5742262670416273165, - 2418672789110888383, 5796562887576294778, 4484266064449540171, 3738982361971787048, - -4699774852342421385, 10530508058128498, -589538253572429690, -6598062107225984180, - 8660405965245884302, 10162832508971942, -2682657355892958417, 7031802312784620857, - 6240911277345944669, 831864355460801054, -1218937899312622917, 2116287251661052151, - 2202309800992166967, 9161020366945053561, 4069299552407763864, 4936383537992622449, - 457351505131524928, -8881176990926596454, -6375600354038175299, -7155351920868399290, - 4368649989588021065, 887231587095185257, -3659780529968199312, -2407146836602825512, - 5616972787034086048, -751562733459939242, 1686575021641186857, -5177887698780513806, - -4979215821652996885, -1375154703071198421, 5632136521049761902, -8390088894796940536, - -193645528485698615, -5979788902190688516, -4907000935050298721, -285522056888777828, - -2776431630044341707, 1679342092332374735, 6050638460742422078, -2229851317345194226, - -1582494184340482199, 5881353426285907985, 812786550756860885, 4541845584483343330, - -6497901820577766722, 4980675660146853729, -4012602956251539747, -329088717864244987, - -2896929232104691526, 1495812843684243920, -2153620458055647789, 7370257291860230865, - -2466442761497833547, 4706794511633873654, -1398851569026877145, 8549875090542453214, - -9189721207376179652, -7894453601103453165, 7297902601803624459, 1011190183918857495, - -6985347000036920864, 5147159997473910359, -8326859945294252826, 2659470849286379941, - 6097729358393448602, -7491646050550022124, -5117116194870963097, -896216826133240300, - -745860416168701406, 5803876044675762232, -787954255994554146, -3234519180203704564, - -4507534739750823898, -1657200065590290694, 505808562678895611, -4153273856159712438, - -8381261370078904295, 572156825025677802, 1791881013492340891, 3393267094866038768, - -5444650186382539299, 2352769483186201278, -7930912453007408350, -325464993179687389, - -3441562999710612272, -6489413242825283295, 5092019688680754699, -227247482082248967, - 4234737173186232084, 5027558287275472836, 4635198586344772304, -536033143587636457, - 5907508150730407386, -8438615781380831356, 972392927514829904, -3801314342046600696, - -4064951393885491917, -174840358296132583, 2407211146698877100, -1640089820333676239, - 3940796514530962282, -5882197405809569433, 3095313889586102949, -1818050141166537098, - 5832080132947175283, 7890064875145919662, 8184139210799583195, -8073512175445549678, - -7758774793014564506, -4581724029666783935, 3516491885471466898, -8267083515063118116, - 6657089965014657519, 5220884358887979358, 1796677326474620641, 5340761970648932916, - 1147977171614181568, 5066037465548252321, 2574765911837859848, 1085848279845204775, - -5873264506986385449, 6116438694366558490, 2107701075971293812, -7420077970933506541, - 2469478054175558874, -1855128755834809824, -5431463669011098282, -9038325065738319171, - -6966276280341336160, 7217693971077460129, -8314322083775271549, 7196649268545224266, - -3585711691453906209, -5267827091426810625, 8057528650917418961, -5084103596553648165, - -2601445448341207749, -7850010900052094367, 6527366231383600011, 3507654575162700890, - 9202058512774729859, 1954818376891585542, -2582991129724600103, 8299563319178235687, - -5321504681635821435, 7046310742295574065, -2376176645520785576, -7650733936335907755, - 8850422670118399721, 3631909142291992901, 5158881091950831288, -6340413719511654215, - 4763258931815816403, 6280052734341785344, -4979582628649810958, 2043464728020827976, - -2678071570832690343, 4562580375758598164, 5495451168795427352, -7485059175264624713, - 553004618757816492, 6895160632757959823, -989748114590090637, 7139506338801360852, - -672480814466784139, 5535668688139305547, 2430933853350256242, -3821430778991574732, - -1063731997747047009, -3065878205254005442, 7632066283658143750, 6308328381617103346, - 3681878764086140361, 3289686137190109749, 6587997200611086848, 244714774258135476, - -5143583659437639708, 8090302575944624335, 2945117363431356361, -8359047641006034763, - 3009039260312620700, -793344576772241777, 401084700045993341, -1968749590416080887, - 4707864159563588614, -3583123505891281857, -3240864324164777915, -5908273794572565703, - -3719524458082857382, -5281400669679581926, 8118566580304798074, 3839261274019871296, - 7062410411742090847, -8481991033874568140, 6027994129690250817, -6725542042704711878, - -2971981702428546974, -7854441788951256975, 8809096399316380241, 6492004350391900708, - 2462145737463489636, -8818543617934476634, -5070345602623085213, -8961586321599299868, - -3758656652254704451, -8630661632476012791, 6764129236657751224, -709716318315418359, - -3403028373052861600, -8838073512170985897, -3999237033416576341, -2920240395515973663, - -2073249475545404416, 368107899140673753, -6108185202296464250, -6307735683270494757, - 4782583894627718279, 6718292300699989587, 8387085186914375220, 3387513132024756289, - 4654329375432538231, -292704475491394206, -3848998599978456535, 7623042350483453954, - 7725442901813263321, 9186225467561587250, -5132344747257272453, -6865740430362196008, - 2530936820058611833, 1636551876240043639, -3658707362519810009, 1452244145334316253, - -7161729655835084979, -7943791770359481772, 9108481583171221009, -3200093350120725999, - 5007630032676973346, 2153168792952589781, 6720334534964750538, -3181825545719981703, - 3433922409283786309, 2285479922797300912, 3110614940896576130, -2856812446131932915, - -3804580617188639299, 7163298419643543757, 4891138053923696990, 580618510277907015, - 1684034065251686769, 4429514767357295841, -8893025458299325803, -8103734041042601133, - 7177515271653460134, 4589042248470800257, -1530083407795771245, 143607045258444228, - 246994305896273627, -8356954712051676521, 6473547110565816071, 3092379936208876896, - 2058427839513754051, -4089587328327907870, 8785882556301281247, -3074039370013608197, - -637529855400303673, 6137678347805511274, -7152924852417805802, 5708223427705576541, - -3223714144396531304, 4358391411789012426, 325123008708389849, 6837621693887290924, - 4843721905315627004, -3212720814705499393, -3825019837890901156, 4602025990114250980, - 1044646352569048800, 9106614159853161675, -8394115921626182539, -4304087667751778808, - 2681532557646850893, 3681559472488511871, -3915372517896561773, -2889241648411946534, - -6564663803938238204, -8060058171802589521, 581945337509520675, 3648778920718647903, - -4799698790548231394, -7602572252857820065, 220828013409515943, -1072987336855386047, - 4287360518296753003, -4633371852008891965, 5513660857261085186, -2258542936462001533, - -8744380348503999773, 8746140185685648781, 228500091334420247, 1356187007457302238, - 3019253992034194581, 3152601605678500003, -8793219284148773595, 5559581553696971176, - 4916432985369275664, -8559797105120221417, -5802598197927043732, 2868348622579915573, - -7224052902810357288, -5894682518218493085, 2587672709781371173, -7706116723325376475, - 3092343956317362483, -5561119517847711700, 972445599196498113, -1558506600978816441, - 1708913533482282562, -2305554874185907314, -6005743014309462908, -6653329009633068701, - -483583197311151195, 2488075924621352812, -4529369641467339140, -4663743555056261452, - 2997203966153298104, 1282559373026354493, 240113143146674385, 8665713329246516443, - 628141331766346752, -4651421219668005332, -7750560848702540400, 7596648026010355826, - -3132152619100351065, 7834161864828164065, 7103445518877254909, 4390861237357459201, - -4780718172614204074, -319889632007444440, 622261699494173647, -3186110786557562560, - 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A = 48271 - Q = 44488 - R = 3399 - ) - - hi := x / Q - lo := x % Q - x = A*lo - R*hi - if x < 0 { - x += int32max - } - return x -} - -// Seed uses the provided seed value to initialize the generator to a deterministic state. -func (rng *rngSource) Seed(seed int64) { - rng.tap = 0 - rng.feed = rngLen - rngTap - - seed = seed % int32max - if seed < 0 { - seed += int32max - } - if seed == 0 { - seed = 89482311 - } - - x := int32(seed) - for i := -20; i < rngLen; i++ { - x = seedrand(x) - if i >= 0 { - var u int64 - u = int64(x) << 40 - x = seedrand(x) - u ^= int64(x) << 20 - x = seedrand(x) - u ^= int64(x) - u ^= rngCooked[i] - rng.vec[i] = u - } - } -} - -// Int64 returns a non-negative pseudo-random 63-bit integer as an int64. -func (rng *rngSource) Int64() int64 { - return int64(rng.Uint64() & rngMask) -} - -// Uint64 returns a non-negative pseudo-random 64-bit integer as a uint64. -func (rng *rngSource) Uint64() uint64 { - rng.tap-- - if rng.tap < 0 { - rng.tap += rngLen - } - - rng.feed-- - if rng.feed < 0 { - rng.feed += rngLen - } - - x := rng.vec[rng.feed] + rng.vec[rng.tap] - rng.vec[rng.feed] = x - return uint64(x) -}