Reapply modulo helpers and inline fast remainders

EvenPerfectBitScanner.Benchmarks/Mod10UInt128Benchmarks.cs

@@ -22,10 +22,10 @@ public class Mod10UInt128Benchmarks
 		ulong value = (ulong)Value;
 		ulong high = value >> 64;
 		ulong low = value;
-		ulong highRem = high.Mod10();
-		ulong lowRem = low.Mod10();
-		ulong combined = lowRem + highRem * 6UL;
-		return combined.Mod10();
+                ulong highRem = high % 10UL;
+                ulong lowRem = low % 10UL;
+                ulong combined = lowRem + highRem * 6UL;
+                return combined % 10UL;
 	}
 
     [Benchmark]
@@ -42,11 +42,11 @@ public class Mod10UInt128Benchmarks
 		while (high != zero)
 		{
 			// 2^64 ≡ 6 (mod 10)
-			result = (result + (ulong)high * 6UL).Mod10();
-			high >>= 64;
-		}
+                        result = (result + (ulong)high * 6UL) % 10UL;
+                        high >>= 64;
+                }
 
-		return result.Mod10();
+                return result % 10UL;
     }
 }
 

EvenPerfectBitScanner.Benchmarks/Mod10UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod10UIntBenchmarks
+{
+    [Params(10U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 10U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod10();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod10_8_5_3Benchmarks.cs

@@ -11,37 +11,44 @@ public class Mod10_8_5_3Benchmarks
     public ulong Value { get; set; }
 
     [Benchmark(Baseline = true)]
+    public (ulong Mod10, ulong Mod8, ulong Mod3, ulong Mod5) ModuloOperator()
+    {
+        ulong value = Value;
+        return (value % 10UL, value % 8UL, value % 3UL, value % 5UL);
+    }
+
+    [Benchmark]
     public (ulong Mod10, ulong Mod8, ulong Mod3, ulong Mod5) LegacyModulo()
     {
-		ulong mod10, mod8, mod3, mod5;
-		UInt128 zero = UInt128.Zero;
-		if (Value == zero)
-		{
-			mod3 = 0UL;
-			mod5 = 0UL;
-			mod8 = 0UL;
-			mod10 = 0UL;
-			return (mod10, mod8, mod3, mod5);
-		}
+                ulong mod10, mod8, mod3, mod5;
+                UInt128 zero = UInt128.Zero;
+                if (Value == zero)
+                {
+                        mod3 = 0UL;
+                        mod5 = 0UL;
+                        mod8 = 0UL;
+                        mod10 = 0UL;
+                        return (mod10, mod8, mod3, mod5);
+                }
 
-		UInt128 high = Value >> 64;
-		ulong result = Value;
-		mod8 = result & 7UL;
-		// 2^64 ≡ 1 (mod 3)
-		ulong modRem = (result % 3UL) + ((ulong)high % 3UL);
-		mod3 = modRem >= 3UL ? modRem - 3UL : modRem;
-		// 2^64 ≡ 1 (mod 5)
-		modRem = (result % 5UL) + ((ulong)high % 5UL);
-		mod5 = modRem >= 5UL ? modRem - 5UL : modRem;
+                UInt128 high = Value >> 64;
+                ulong result = Value;
+                mod8 = result & 7UL;
+                // 2^64 ≡ 1 (mod 3)
+                ulong modRem = (result % 3UL) + ((ulong)high % 3UL);
+                mod3 = modRem >= 3UL ? modRem - 3UL : modRem;
+                // 2^64 ≡ 1 (mod 5)
+                modRem = (result % 5UL) + ((ulong)high % 5UL);
+                mod5 = modRem >= 5UL ? modRem - 5UL : modRem;
 
-		while (high != zero)
-		{
-			// 2^64 ≡ 6 (mod 10)
-			result = (result + (ulong)high * 6UL) % 10UL;
-			high >>= 64;
-		}
+                while (high != zero)
+                {
+                        // 2^64 ≡ 6 (mod 10)
+                        result = (result + (ulong)high * 6UL) % 10UL;
+                        high >>= 64;
+                }
 
-		mod10 = result % 10UL;
+                mod10 = result % 10UL;
         return (mod10, mod8, mod3, mod5);
     }
 

EvenPerfectBitScanner.Benchmarks/Mod10_8_5_3StepsBenchmarks.cs

@@ -26,7 +26,7 @@ public class Mod10_8_5_3StepsBenchmarks
     {
 		Value.Mod10_8_5_3(out ulong mod10, out ulong mod8, out ulong mod5, out ulong mod3);
 		// Step residues for q += 2*p
-		mod10 = mod10.Mod10();
+                mod10 %= 10UL;
         return (mod10, mod8, mod3, mod5);
     }
 }

EvenPerfectBitScanner.Benchmarks/Mod11UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod11UInt128Benchmarks
+{
+    [Params(11UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 255UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 11UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod11();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod11UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod11UIntBenchmarks
+{
+    [Params(11U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 11U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod11();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod11ULongBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod11ULongBenchmarks
+{
+    [Params(11UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 127UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return Value % 11UL;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod11();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod11_7_5_3Benchmarks.cs

@@ -0,0 +1,32 @@
+using BenchmarkDotNet.Attributes;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[MemoryDiagnoser]
+public class Mod11_7_5_3Benchmarks
+{
+    [Params(3UL, 8191UL, 131071UL, 2147483647UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public (ulong Mod11, ulong Mod7, ulong Mod5, ulong Mod3) ModuloOperator()
+    {
+        ulong value = Value;
+        return (value % 11UL, value % 7UL, value % 5UL, value % 3UL);
+    }
+
+    [Benchmark]
+    public (ulong Mod11, ulong Mod7, ulong Mod5, ulong Mod3) ExtensionMethods()
+    {
+        ulong value = Value;
+        return (value.Mod11(), value.Mod7(), value.Mod5(), value.Mod3());
+    }
+
+    [Benchmark]
+    public (ulong Mod11, ulong Mod7, ulong Mod5, ulong Mod3) CombinedMethod()
+    {
+        Value.Mod11_7_5_3(out ulong mod11, out ulong mod7, out ulong mod5, out ulong mod3);
+        return (mod11, mod7, mod5, mod3);
+    }
+}

EvenPerfectBitScanner.Benchmarks/Mod128UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod128UInt128Benchmarks
+{
+    [Params(128UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 511UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 128UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod128();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod128UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod128UIntBenchmarks
+{
+    [Params(128U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 128U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod128();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod128ULongBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod128ULongBenchmarks
+{
+    [Params(128UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 255UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return Value % 128UL;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod128();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod3UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod3UInt128Benchmarks
+{
+    [Params(3UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 17UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 3UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod3();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod3UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod3UIntBenchmarks
+{
+    [Params(3U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 3U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod3();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod3ULongBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod3ULongBenchmarks
+{
+    [Params(3UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 17UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return Value % 3UL;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod3();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod5UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod5UInt128Benchmarks
+{
+    [Params(5UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 31UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 5UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod5();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod5UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod5UIntBenchmarks
+{
+    [Params(5U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 5U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod5();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod5ULongBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod5ULongBenchmarks
+{
+    [Params(5UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 31UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return Value % 5UL;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod5();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod6ComparisonBenchmarks.cs

@@ -0,0 +1,81 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 3)]
+[MemoryDiagnoser]
+public class Mod6ComparisonBenchmarks
+{
+    private const int Iterations = 10_000_000;
+    private const ulong Divisor = 6UL;
+    private static readonly ulong FastDivMul = (ulong)(((UInt128)1 << 64) / Divisor);
+
+    [Params(3UL, 131071UL, ulong.MaxValue - 1024UL)]
+    public ulong StartValue { get; set; }
+
+    [Benchmark(Baseline = true, OperationsPerInvoke = Iterations)]
+    public ulong ModuloOperator()
+    {
+        ulong checksum = 0UL;
+        ulong value = StartValue;
+
+        for (int i = 0; i < Iterations; i++)
+        {
+            checksum += value % Divisor;
+            value += (ulong)((i & 15) + 1);
+        }
+
+        return checksum;
+    }
+
+    [Benchmark(OperationsPerInvoke = Iterations)]
+    public ulong DivisionBased()
+    {
+        ulong checksum = 0UL;
+        ulong value = StartValue;
+
+        for (int i = 0; i < Iterations; i++)
+        {
+            ulong quotient = value / Divisor;
+            checksum += value - quotient * Divisor;
+            value += (ulong)((i & 15) + 1);
+        }
+
+        return checksum;
+    }
+
+    [Benchmark(OperationsPerInvoke = Iterations)]
+    public ulong FastDivHigh()
+    {
+        ulong checksum = 0UL;
+        ulong value = StartValue;
+
+        for (int i = 0; i < Iterations; i++)
+        {
+            ulong quotient = value.FastDiv64(Divisor, FastDivMul);
+            checksum += value - quotient * Divisor;
+            value += (ulong)((i & 15) + 1);
+        }
+
+        return checksum;
+    }
+
+    [Benchmark(OperationsPerInvoke = Iterations)]
+    public ulong ExtensionMethod()
+    {
+        ulong checksum = 0UL;
+        ulong value = StartValue;
+
+        for (int i = 0; i < Iterations; i++)
+        {
+            checksum += value.Mod6();
+            value += (ulong)((i & 15) + 1);
+        }
+
+        return checksum;
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod6UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod6UInt128Benchmarks
+{
+    [Params(6UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 63UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 6UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod6();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod6UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod6UIntBenchmarks
+{
+    [Params(6U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 6U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod6();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod6ULongBenchmarks.cs

@@ -0,0 +1,43 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 3)]
+[MemoryDiagnoser]
+public class Mod6ULongBenchmarks
+{
+    private static readonly ulong Divisor = 6UL;
+    private static readonly ulong FastDivMul = (ulong)(((UInt128)1 << 64) / Divisor);
+
+    [Params(3UL, 131071UL, ulong.MaxValue)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+                return Value % Divisor;
+    }
+
+    [Benchmark]
+    public ulong DivisionBased()
+    {
+        ulong quotient = Value / Divisor;
+        return Value - quotient * Divisor;
+    }
+
+    [Benchmark]
+    public ulong FastDivHigh()
+    {
+        ulong quotient = Value.FastDiv64(Divisor, FastDivMul);
+        return Value - quotient * Divisor;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod6();
+    }
+}

EvenPerfectBitScanner.Benchmarks/Mod7UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod7UInt128Benchmarks
+{
+    [Params(7UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 127UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 7UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod7();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod7UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod7UIntBenchmarks
+{
+    [Params(7U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 7U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod7();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod7ULongBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod7ULongBenchmarks
+{
+    [Params(7UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 63UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return Value % 7UL;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod7();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod8UInt128Benchmarks.cs

@@ -0,0 +1,27 @@
+using System.Numerics;
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod8UInt128Benchmarks
+{
+    [Params(8UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 255UL)]
+    public UInt128 Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return (ulong)(Value % 8UL);
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod8();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod8UIntBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod8UIntBenchmarks
+{
+    [Params(8U, 2047U, 65535U, 2147483647U)]
+    public uint Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public uint ModuloOperator()
+    {
+        return Value % 8U;
+    }
+
+    [Benchmark]
+    public uint ExtensionMethod()
+    {
+        return Value.Mod8();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Mod8ULongBenchmarks.cs

@@ -0,0 +1,26 @@
+using BenchmarkDotNet.Attributes;
+using BenchmarkDotNet.Jobs;
+using PerfectNumbers.Core;
+
+namespace EvenPerfectBitScanner.Benchmarks;
+
+[SimpleJob(RuntimeMoniker.Net80, launchCount: 1, warmupCount: 1, iterationCount: 5)]
+[MemoryDiagnoser]
+public class Mod8ULongBenchmarks
+{
+    [Params(8UL, 8191UL, 131071UL, 2147483647UL, ulong.MaxValue - 127UL)]
+    public ulong Value { get; set; }
+
+    [Benchmark(Baseline = true)]
+    public ulong ModuloOperator()
+    {
+        return Value % 8UL;
+    }
+
+    [Benchmark]
+    public ulong ExtensionMethod()
+    {
+        return Value.Mod8();
+    }
+}
+

EvenPerfectBitScanner.Benchmarks/Program.cs

@@ -1,3 +1,4 @@
+using System;
 using BenchmarkDotNet.Running;
 
 namespace EvenPerfectBitScanner.Benchmarks;