using System; using System.Collections.Generic; using System.Reflection; using FluentAssertions; using PerfectNumbers.Core; using PerfectNumbers.Core.Cpu; using PerfectNumbers.Core.Gpu; using Xunit; namespace PerfectNumbers.Core.Tests; public class MersenneNumberDivisorGpuTesterTests { [Theory] [InlineData(33UL, 7UL, true)] [InlineData(35UL, 31UL, true)] [InlineData(37UL, 223UL, true)] [InlineData(33UL, 13UL, false)] [InlineData(35UL, 73UL, false)] [InlineData(37UL, 227UL, false)] [Trait("Category", "Fast")] public void IsDivisible_returns_expected(ulong exponent, ulong divisor, bool expected) { var tester = new MersenneNumberDivisorGpuTester(); ReadOnlyGpuUInt128 divisorValue = new ReadOnlyGpuUInt128(divisor); tester.IsDivisible(exponent, in divisorValue).Should().Be(expected); } [Fact] [Trait("Category", "Fast")] public void IsDivisible_handles_large_divisors() { var tester = new MersenneNumberDivisorGpuTester(); UInt128 divisor = (UInt128.One << 65) - UInt128.One; ReadOnlyGpuUInt128 divisorValue = new ReadOnlyGpuUInt128(divisor); tester.IsDivisible(65UL, in divisorValue).Should().BeTrue(); divisorValue = new ReadOnlyGpuUInt128(divisor + 2); // Reusing divisorValue for the shifted candidate. tester.IsDivisible(65UL, in divisorValue).Should().BeFalse(); } [Fact] [Trait("Category", "Fast")] public void IsPrime_sets_divisorsExhausted_false_when_search_range_not_exhausted() { var tester = new MersenneNumberDivisorGpuTester(); typeof(MersenneNumberDivisorGpuTester) .GetField("_divisorCandidates", BindingFlags.NonPublic | BindingFlags.Static)! .SetValue(null, Array.Empty<(ulong, uint)>()); tester.IsPrime(31UL, UInt128.Zero, 0UL, out bool divisorsExhausted).Should().BeTrue(); divisorsExhausted.Should().BeFalse(); } [Fact] [Trait("Category", "Fast")] public void IsPrime_sets_divisorsExhausted_true_when_divisible_by_specified_divisor() { var tester = new MersenneNumberDivisorGpuTester(); tester.IsPrime(35UL, 31UL, 0UL, out bool divisorsExhausted).Should().BeFalse(); divisorsExhausted.Should().BeTrue(); } [Fact] [Trait("Category", "Fast")] public void IsPrime_accepts_large_search_limits() { var tester = new MersenneNumberDivisorGpuTester(); tester.IsPrime(35UL, 31UL, ulong.MaxValue, out bool exhausted).Should().BeFalse(); exhausted.Should().BeTrue(); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_tester_tracks_divisors_across_primes() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); tester.IsPrime(31UL, out bool exhausted).Should().BeTrue(); exhausted.Should().BeTrue(); tester.IsPrime(37UL, out exhausted).Should().BeFalse(); exhausted.Should().BeTrue(); tester.IsPrime(43UL, out exhausted).Should().BeFalse(); exhausted.Should().BeTrue(); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_prime_test_limit_stops_scan_immediately() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); tester.IsPrime(31UL, out bool divisorsExhausted, TimeSpan.Zero).Should().BeTrue(); divisorsExhausted.Should().BeFalse(); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_tester_requires_configuration() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); Action act = () => tester.IsPrime(31UL, out _); act.Should().Throw(); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_tester_respects_filter_based_limit() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(41UL); tester.IsPrime(31UL, out _).Should().BeTrue(); tester.IsPrime(37UL, out bool exhausted).Should().BeFalse(); exhausted.Should().BeTrue(); tester.IsPrime(41UL, out bool divisorsExhausted).Should().BeFalse(); divisorsExhausted.Should().BeTrue(); } [Theory] [InlineData(71UL, false)] [InlineData(89UL, true)] [InlineData(127UL, true)] [Trait("Category", "Fast")] public void ByDivisor_tester_matches_incremental_expectations(ulong exponent, bool expectedPrime) { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(exponent); tester.IsPrime(exponent, out bool exhausted).Should().Be(expectedPrime); exhausted.Should().BeTrue(); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_tester_uses_cycle_remainders_per_divisor() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 8, }; tester.ConfigureFromMaxPrime(43UL); tester.IsPrime(41UL, out bool divisorsExhausted).Should().BeFalse(); divisorsExhausted.Should().BeTrue(); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_checks_divisors_across_primes() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); using var session = tester.CreateDivisorSession(); ulong[] primes = { 31UL, 37UL, 41UL, 43UL }; byte[] hits = new byte[primes.Length]; ulong cycle223 = MersenneDivisorCycles.CalculateCycleLength(223UL, MontgomeryDivisorData.FromModulus(223UL)); session.CheckDivisor(223UL, MontgomeryDivisorData.FromModulus(223UL), cycle223, primes, hits); hits.Should().ContainInOrder(new byte[] { 0, 1, 0, 0 }); Array.Fill(hits, (byte)0); ulong cycle13367 = MersenneDivisorCycles.CalculateCycleLength(13367UL, MontgomeryDivisorData.FromModulus(13367UL)); session.CheckDivisor(13367UL, MontgomeryDivisorData.FromModulus(13367UL), cycle13367, primes, hits); hits.Should().ContainInOrder(new byte[] { 0, 0, 1, 0 }); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_session_reuses_cycle_remainders_across_batches() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 2, }; tester.ConfigureFromMaxPrime(173UL); using var session = tester.CreateDivisorSession(); ulong[] primes = { 59UL, 61UL, 67UL, 71UL, 73UL }; byte[] hits = new byte[primes.Length]; MontgomeryDivisorData divisor223 = MontgomeryDivisorData.FromModulus(223UL); ulong cycle223 = MersenneDivisorCycles.CalculateCycleLength(223UL, divisor223); session.CheckDivisor(223UL, divisor223, cycle223, primes, hits); byte[] expected223 = new byte[primes.Length]; for (int i = 0; i < primes.Length; i++) { expected223[i] = primes[i].Pow2ModWindowedCpu(divisor223.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected223); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_marks_mersenne_numbers_divisible_by_223_as_composite() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 5, }; tester.ConfigureFromMaxPrime(173UL); using var session = tester.CreateDivisorSession(); ulong[] exponents = { 59UL, 67UL, 118UL, 134UL, 177UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(223UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(223UL, divisorData); session.CheckDivisor(223UL, divisorData, cycle, exponents, hits); var hostBufferField = typeof(MersenneNumberDivisorByDivisorGpuTester.DivisorScanSession) .GetField("_hostBuffer", BindingFlags.NonPublic | BindingFlags.Instance)!; ulong[] hostBuffer = (ulong[])hostBufferField.GetValue(session)!; Span residues = hostBuffer.AsSpan(0, exponents.Length); byte[] expected = new byte[exponents.Length]; for (int i = 0; i < residues.Length; i++) { expected[i] = residues[i] == 1UL ? (byte)1 : (byte)0; } byte[] direct = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { direct[i] = exponents[i].Pow2ModWindowedCpu(divisorData.Modulus) == 1UL ? (byte)1 : (byte)0; } expected.Should().Equal(direct); hits.Should().Equal(direct); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_marks_mersenne_numbers_divisible_by_431_as_composite() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 5, }; tester.ConfigureFromMaxPrime(193UL); using var session = tester.CreateDivisorSession(); ulong[] exponents = { 67UL, 71UL, 86UL, 134UL, 172UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(431UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(431UL, divisorData); session.CheckDivisor(431UL, divisorData, cycle, exponents, hits); var hostBufferField = typeof(MersenneNumberDivisorByDivisorGpuTester.DivisorScanSession) .GetField("_hostBuffer", BindingFlags.NonPublic | BindingFlags.Instance)!; ulong[] hostBuffer = (ulong[])hostBufferField.GetValue(session)!; Span residues = hostBuffer.AsSpan(0, exponents.Length); byte[] expected = new byte[exponents.Length]; for (int i = 0; i < residues.Length; i++) { expected[i] = residues[i] == 1UL ? (byte)1 : (byte)0; } byte[] direct = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { direct[i] = exponents[i].Pow2ModWindowedCpu(divisorData.Modulus) == 1UL ? (byte)1 : (byte)0; } expected.Should().Equal(direct); hits.Should().Equal(direct); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_tester_ignores_small_cycle_overrides() { var cycles = MersenneDivisorCycles.Shared; var tableField = typeof(MersenneDivisorCycles).GetField("_table", BindingFlags.NonPublic | BindingFlags.Instance)!; var smallCyclesField = typeof(MersenneDivisorCycles).GetField("_smallCycles", BindingFlags.NonPublic | BindingFlags.Instance)!; var originalTable = (List<(ulong Divisor, ulong Cycle)>)tableField.GetValue(cycles)!; var originalSmall = (ulong[]?)smallCyclesField.GetValue(cycles); try { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(19UL); tester.IsPrime(19UL, out bool baselineExhausted).Should().BeTrue(); baselineExhausted.Should().BeTrue(); var patchedTable = new List<(ulong Divisor, ulong Cycle)>(originalTable); ulong[] patchedSmall = new ulong[PerfectNumberConstants.MaxQForDivisorCycles + 1]; patchedSmall[191] = 5UL; tableField.SetValue(cycles, patchedTable); smallCyclesField.SetValue(cycles, patchedSmall); DivisorCycleCache.Shared.RefreshSnapshot(); tester.IsPrime(19UL, out bool patchedExhausted).Should().BeTrue(); patchedExhausted.Should().BeTrue(); MersenneDivisorCycles.TryMatchSmallCycleForFactoring(191UL, 5UL, out ulong cachedCycle).Should().BeTrue(); cachedCycle.Should().Be(5UL); } finally { tableField.SetValue(cycles, originalTable); smallCyclesField.SetValue(cycles, originalSmall); DivisorCycleCache.Shared.RefreshSnapshot(); GpuContextPool.DisposeAll(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_cpu_session_reuses_cycle_remainders_across_primes() { var tester = new MersenneNumberDivisorByDivisorCpuTester { BatchSize = 2, }; tester.ConfigureFromMaxPrime(173UL); using var session = tester.CreateDivisorSession(); ulong[] primes = { 59UL, 61UL, 67UL, 71UL, 73UL }; byte[] hits = new byte[primes.Length]; MontgomeryDivisorData divisor223 = MontgomeryDivisorData.FromModulus(223UL); ulong cycle223 = MersenneDivisorCycles.CalculateCycleLength(223UL, divisor223); session.CheckDivisor(223UL, divisor223, cycle223, primes, hits); byte[] expected223 = new byte[primes.Length]; for (int i = 0; i < primes.Length; i++) { expected223[i] = primes[i].Pow2ModWindowedCpu(divisor223.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected223); } }