using System.Reflection; using FluentAssertions; 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_tester_defaults_to_zero_limit_before_configuration() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.DivisorLimit.Should().Be(0UL); ulong[] primes = { 31UL, 37UL }; ulong[] allowed = new ulong[primes.Length]; tester.PrepareCandidates(primes, allowed); allowed.Should().OnlyContain(value => value == 0UL); } [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_computes_cycle_when_zero_is_provided() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); var session = tester.CreateDivisorSession(); try { ulong[] primes = { 31UL, 37UL, 41UL }; byte[] hits = new byte[primes.Length]; session.CheckDivisor(223UL, MontgomeryDivisorData.FromModulus(223UL), 0UL, primes, hits); hits.Should().ContainInOrder(new byte[] { 0, 1, 0 }); } finally { session.Dispose(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_checks_divisors_across_primes() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); var session = tester.CreateDivisorSession(); try { 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 }); } finally { session.Dispose(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_session_reuses_cycle_remainders_across_batches() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 2, }; tester.ConfigureFromMaxPrime(47UL); var session = tester.CreateDivisorSession(); try { ulong[] primes = { 31UL, 37UL, 41UL, 43UL, 47UL }; 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, 0 }); } finally { session.Dispose(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_marks_mersenne_numbers_divisible_by_seven_as_composite() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 5, }; tester.ConfigureFromMaxPrime(43UL); var session = tester.CreateDivisorSession(); try { ulong[] exponents = { 6UL, 7UL, 9UL, 10UL, 12UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(7UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(7UL, divisorData); session.CheckDivisor(7UL, divisorData, cycle, exponents, hits); hits.Should().Equal(new byte[] { 1, 0, 1, 0, 1 }); } finally { session.Dispose(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_marks_mersenne_numbers_divisible_by_eleven_as_composite() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 5, }; tester.ConfigureFromMaxPrime(61UL); var session = tester.CreateDivisorSession(); try { ulong[] exponents = { 10UL, 11UL, 20UL, 21UL, 30UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(11UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(11UL, divisorData); session.CheckDivisor(11UL, divisorData, cycle, exponents, hits); hits.Should().Equal(new byte[] { 1, 0, 1, 0, 1 }); } finally { session.Dispose(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_tester_skips_divisors_excluded_by_small_cycle_generation() { 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 patchedTable = new List<(ulong Divisor, ulong Cycle)>(); ulong[] patchedSmall = new ulong[PerfectNumberConstants.MaxQForDivisorCycles + 1]; MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(191UL); patchedSmall[191] = MersenneDivisorCycles.CalculateCycleLength(191UL, divisorData); tableField.SetValue(cycles, patchedTable); smallCyclesField.SetValue(cycles, patchedSmall); DivisorCycleCache.Shared.RefreshSnapshot(); var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(19UL); typeof(MersenneNumberDivisorByDivisorGpuTester) .GetField("_divisorLimit", BindingFlags.NonPublic | BindingFlags.Instance)! .SetValue(tester, 200UL); tester.IsPrime(19UL, out bool divisorsExhausted).Should().BeTrue(); divisorsExhausted.Should().BeTrue(); } 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(47UL); var session = tester.CreateDivisorSession(); try { ulong[] primes = { 31UL, 37UL, 41UL, 43UL, 47UL }; 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, 0 }); } finally { session.Dispose(); } } }