Optimize GPU divisor heuristics pipeline
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using System;
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using BenchmarkDotNet.Attributes;
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using BenchmarkDotNet.Jobs;
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using PerfectNumbers.Core;
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namespace EvenPerfectBitScanner.Benchmarks;
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/// <summary>
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/// Benchmarks GPU Montgomery exponentiation helpers for exponents at or above 138 million.
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/// The sample set is generated once and reused across all benchmark methods so every variant
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/// processes the same data without incurring repeated initialization costs.
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/// </summary>
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[MemoryDiagnoser]
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[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
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public class Pow2MontgomeryModWindowedKeepMontgomeryGpuBenchmarks
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{
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private Pow2MontgomeryModWindowedBenchmarkInputs _inputs = null!;
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[GlobalSetup]
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public void Setup()
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{
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_inputs = Pow2MontgomeryModWindowedBenchmarkInputsProvider.Instance;
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}
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/// <summary>
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/// Baseline GPU windowed Montgomery exponentiation that converts back to the standard residue.
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/// </summary>
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[Benchmark(Baseline = true)]
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public ulong WindowedMontgomeryConvert()
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{
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ulong checksum = 0UL;
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Pow2MontgomeryModWindowedBenchmarkCase[] cases = _inputs.Cases;
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for (int i = 0; i < cases.Length; i++)
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{
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ref readonly Pow2MontgomeryModWindowedBenchmarkCase current = ref cases[i];
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checksum ^= current.Exponent.Pow2MontgomeryModWindowedGpu(current.Divisor, keepMontgomery: false);
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}
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return checksum;
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}
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/// <summary>
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/// GPU windowed Montgomery exponentiation that keeps the result in the Montgomery domain.
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/// </summary>
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[Benchmark]
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public ulong WindowedMontgomeryKeep()
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{
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ulong checksum = 0UL;
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Pow2MontgomeryModWindowedBenchmarkCase[] cases = _inputs.Cases;
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for (int i = 0; i < cases.Length; i++)
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{
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ref readonly Pow2MontgomeryModWindowedBenchmarkCase current = ref cases[i];
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checksum ^= current.Exponent.Pow2MontgomeryModWindowedGpu(current.Divisor, keepMontgomery: true);
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}
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return checksum;
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}
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/// <summary>
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/// GPU windowed modular exponentiation without Montgomery reduction for comparison.
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/// </summary>
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[Benchmark]
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public ulong WindowedStandardMod()
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{
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ulong checksum = 0UL;
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Pow2MontgomeryModWindowedBenchmarkCase[] cases = _inputs.Cases;
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for (int i = 0; i < cases.Length; i++)
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{
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ref readonly Pow2MontgomeryModWindowedBenchmarkCase current = ref cases[i];
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checksum ^= current.Exponent.Pow2ModWindowedGpu(current.Modulus);
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}
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return checksum;
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}
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}
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