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(117_652UL, 4_000_169UL, true)] [InlineData(333_380UL, 4_000_561UL, true)] [InlineData(59UL, 4_000_169UL, false)] [InlineData(61UL, 4_000_561UL, false)] [InlineData(333_379UL, 4_000_561UL, false)] [InlineData(117_653UL, 4_000_169UL, 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_exponents() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(197UL); using var session = tester.CreateDivisorSession(); ulong[] exponents = { 59UL, 61UL, 67UL, 71UL, 73UL, 79UL, 117_652UL, 333_380UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisor1 = MontgomeryDivisorData.FromModulus(4_000_169UL); ulong cycle1 = MersenneDivisorCycles.CalculateCycleLength(4_000_169UL, divisor1); session.CheckDivisor(4_000_169UL, divisor1, cycle1, exponents, hits); byte[] expected1 = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { expected1[i] = exponents[i].Pow2ModWindowedCpu(divisor1.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected1); Array.Fill(hits, (byte)0); MontgomeryDivisorData divisor2 = MontgomeryDivisorData.FromModulus(4_000_561UL); ulong cycle2 = MersenneDivisorCycles.CalculateCycleLength(4_000_561UL, divisor2); session.CheckDivisor(4_000_561UL, divisor2, cycle2, exponents, hits); byte[] expected2 = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { expected2[i] = exponents[i].Pow2ModWindowedCpu(divisor2.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected2); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_session_reuses_cycle_remainders_across_batches() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 2, }; tester.ConfigureFromMaxPrime(197UL); using var session = tester.CreateDivisorSession(); ulong[] exponents = { 59UL, 61UL, 67UL, 71UL, 73UL, 79UL, 117_652UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisor = MontgomeryDivisorData.FromModulus(4_000_169UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(4_000_169UL, divisor); session.CheckDivisor(4_000_169UL, divisor, cycle, exponents, hits); byte[] expected = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { expected[i] = exponents[i].Pow2ModWindowedCpu(divisor.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_marks_mersenne_numbers_divisible_by_large_divisor1_as_composite() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 5, }; tester.ConfigureFromMaxPrime(197UL); using var session = tester.CreateDivisorSession(); MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(4_000_169UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(4_000_169UL, divisorData); ulong[] exponents = { 59UL, 67UL, cycle, cycle * 2UL, cycle + 1UL }; byte[] hits = new byte[exponents.Length]; session.CheckDivisor(4_000_169UL, 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_large_divisor2_as_composite() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 5, }; tester.ConfigureFromMaxPrime(197UL); using var session = tester.CreateDivisorSession(); MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(4_000_561UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(4_000_561UL, divisorData); ulong[] exponents = { 61UL, 73UL, cycle, cycle * 2UL, cycle - 1UL }; byte[] hits = new byte[exponents.Length]; session.CheckDivisor(4_000_561UL, 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_generates_cycles_for_large_divisors() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(197UL); using var session = tester.CreateDivisorSession(); ulong[] exponents = { 59UL, 67UL, 117_652UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(4_000_169UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(4_000_169UL, divisorData); session.CheckDivisor(4_000_169UL, divisorData, cycle, exponents, hits); byte[] expected = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { expected[i] = exponents[i].Pow2ModWindowedCpu(divisorData.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected); } [Fact] [Trait("Category", "Fast")] public void ByDivisor_cpu_session_reuses_cycle_remainders_across_primes() { var tester = new MersenneNumberDivisorByDivisorCpuTester { BatchSize = 2, }; tester.ConfigureFromMaxPrime(197UL); using var session = tester.CreateDivisorSession(); ulong[] exponents = { 59UL, 61UL, 67UL, 71UL, 73UL, 79UL, 117_652UL }; byte[] hits = new byte[exponents.Length]; MontgomeryDivisorData divisor = MontgomeryDivisorData.FromModulus(4_000_169UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLength(4_000_169UL, divisor); session.CheckDivisor(4_000_169UL, divisor, cycle, exponents, hits); byte[] expected = new byte[exponents.Length]; for (int i = 0; i < exponents.Length; i++) { expected[i] = exponents[i].Pow2ModWindowedCpu(divisor.Modulus) == 1UL ? (byte)1 : (byte)0; } hits.Should().Equal(expected); } }