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even-perfect-numbers-scanner/EvenPerfectBitScanner.Benchmarks/Mod7Benchmarks.cs
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using System.Runtime.CompilerServices;
using BenchmarkDotNet.Attributes;
using BenchmarkDotNet.Jobs;
using PerfectNumbers.Core;
namespace EvenPerfectBitScanner.Benchmarks;
[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
[MemoryDiagnoser]
public class Mod7Benchmarks
{
private static readonly ModBenchmarkCase[] Cases =
[
new(ModNumericType.UInt32, 7U, "UInt32:7"),
new(ModNumericType.UInt32, 2047U, "UInt32:2047"),
new(ModNumericType.UInt32, 65535U, "UInt32:65535"),
new(ModNumericType.UInt32, 2147483647U, "UInt32:2147483647"),
new(ModNumericType.UInt64, 7UL, "UInt64:7"),
new(ModNumericType.UInt64, 8191UL, "UInt64:8191"),
new(ModNumericType.UInt64, 131071UL, "UInt64:131071"),
new(ModNumericType.UInt64, 2147483647UL, "UInt64:2147483647"),
new(ModNumericType.UInt64, ulong.MaxValue - 63UL, "UInt64:Max-63"),
new(ModNumericType.UInt128, 7UL, "UInt128:7"),
new(ModNumericType.UInt128, 8191UL, "UInt128:8191"),
new(ModNumericType.UInt128, 131071UL, "UInt128:131071"),
new(ModNumericType.UInt128, 2147483647UL, "UInt128:2147483647"),
new(ModNumericType.UInt128, ulong.MaxValue - 127UL, "UInt128:Max-127"),
];
public static IEnumerable<ModBenchmarkCase> GetCases() => Cases;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static uint Mod7(uint value)
{
uint remainder = 0U;
while (value != 0U)
{
remainder += value & 7U;
value >>= 3;
if (remainder >= 7U)
{
remainder -= 7U;
}
}
return remainder >= 7U ? remainder - 7U : remainder;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static ulong Mod7(ulong value)
{
ulong remainder = ((uint)value % 7U) + (((uint)(value >> 32) % 7U) << 2);
while (remainder >= 7UL)
{
remainder -= 7UL;
}
return remainder;
}
/// <summary>
/// `% 7` baseline across the merged dataset; hovered near the noise floor on <c>uint</c>, 0.27 ns on <c>ulong</c>, and
/// 2.86-2.91 ns on <see cref="UInt128"/> inputs.
/// </summary>
[Benchmark(Baseline = true)]
[ArgumentsSource(nameof(GetCases))]
public ulong ModuloOperator(ModBenchmarkCase data)
{
return data.Type switch
{
ModNumericType.UInt32 => (uint)data.Value % 7U,
ModNumericType.UInt64 => (ulong)data.Value % 7UL,
ModNumericType.UInt128 => (ulong)(data.Value % 7UL),
_ => throw new ArgumentOutOfRangeException(nameof(data)),
};
}
/// <summary>
/// Extension helpers; dramatically slower on <c>uint</c>, modestly slower on <c>ulong</c>, and 3.2-4.2× faster on
/// <see cref="UInt128"/> inputs where the folding helpers shine.
/// </summary>
[Benchmark]
[ArgumentsSource(nameof(GetCases))]
public ulong ExtensionMethod(ModBenchmarkCase data)
{
return data.Type switch
{
ModNumericType.UInt32 => Mod7((uint)data.Value),
ModNumericType.UInt64 => Mod7((ulong)data.Value),
ModNumericType.UInt128 => data.Value.Mod7(),
_ => throw new ArgumentOutOfRangeException(nameof(data)),
};
}
}