using System.Numerics; using System.Reflection; using FluentAssertions; using PerfectNumbers.Core.Cpu; using PerfectNumbers.Core.Gpu; using PerfectNumbers.Core.Gpu.Accelerators; 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)>()); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, 31UL, UInt128.Zero, 0UL, out bool divisorsExhausted).Should().BeTrue(); divisorsExhausted.Should().BeFalse(); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void IsPrime_sets_divisorsExhausted_true_when_divisible_by_specified_divisor() { var tester = new MersenneNumberDivisorGpuTester(); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, 35UL, 31UL, 0UL, out bool divisorsExhausted).Should().BeFalse(); divisorsExhausted.Should().BeTrue(); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void IsPrime_accepts_large_search_limits() { var tester = new MersenneNumberDivisorGpuTester(); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, 35UL, 31UL, ulong.MaxValue, out bool exhausted).Should().BeFalse(); exhausted.Should().BeTrue(); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_tester_tracks_divisors_across_primes() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, 31UL, out bool exhausted, out BigInteger divisor).Should().BeTrue(); exhausted.Should().BeTrue(); divisor.Should().Be(BigInteger.Zero); tester.IsPrime(gpu, 37UL, out exhausted, out divisor).Should().BeFalse(); exhausted.Should().BeTrue(); divisor.Should().BeGreaterThan(BigInteger.Zero); tester.IsPrime(gpu, 43UL, out exhausted, out divisor).Should().BeFalse(); exhausted.Should().BeTrue(); divisor.Should().BeGreaterThan(BigInteger.Zero); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [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); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, 31UL, out _, out BigInteger divisor).Should().BeTrue(); divisor.Should().Be(BigInteger.Zero); tester.IsPrime(gpu, 37UL, out bool exhausted, out divisor).Should().BeFalse(); exhausted.Should().BeTrue(); divisor.Should().BeGreaterThan(BigInteger.Zero); tester.IsPrime(gpu, 41UL, out bool divisorsExhausted, out divisor).Should().BeFalse(); divisorsExhausted.Should().BeTrue(); divisor.Should().BeGreaterThan(BigInteger.Zero); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [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); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, exponent, out bool exhausted, out BigInteger divisor).Should().Be(expectedPrime); exhausted.Should().BeTrue(); if (expectedPrime) { divisor.Should().Be(BigInteger.Zero); } else { divisor.Should().BeGreaterThan(BigInteger.Zero); } } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_tester_uses_cycle_remainders_per_divisor() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 8, }; tester.ConfigureFromMaxPrime(43UL); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { tester.IsPrime(gpu, 41UL, out bool divisorsExhausted, out BigInteger divisor).Should().BeFalse(); divisorsExhausted.Should().BeTrue(); divisor.Should().BeGreaterThan(BigInteger.Zero); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_computes_cycle_when_zero_is_provided() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); var session = tester.CreateDivisorSession(gpu); try { ulong[] primes = [31UL, 37UL, 41UL]; session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), 0UL, primes).Should().BeTrue(); ulong[] primesWithoutHit = [31UL, 41UL]; session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), 0UL, primesWithoutHit).Should().BeFalse(); } finally { session.Return(); PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_session_checks_divisors_across_primes() { var tester = new MersenneNumberDivisorByDivisorGpuTester(); tester.ConfigureFromMaxPrime(43UL); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); var session = tester.CreateDivisorSession(gpu); try { ulong[] primes = [31UL, 37UL, 41UL, 43UL]; ulong cycle223 = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL)); session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), cycle223, primes).Should().BeTrue(); ulong[] primesBeforeHit = [31UL]; session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), cycle223, primesBeforeHit).Should().BeFalse(); ulong cycle13367 = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 13367UL, MontgomeryDivisorDataPool.Shared.FromModulus(13367UL)); session.CheckDivisor(13367UL, MontgomeryDivisorDataPool.Shared.FromModulus(13367UL), cycle13367, primes).Should().BeTrue(); ulong[] primesWithoutMatchingExponent = [31UL, 37UL, 43UL]; session.CheckDivisor(13367UL, MontgomeryDivisorDataPool.Shared.FromModulus(13367UL), cycle13367, primesWithoutMatchingExponent).Should().BeFalse(); } finally { session.Return(); PrimeOrderCalculatorAccelerator.Return(gpu); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_gpu_session_reuses_cycle_remainders_across_batches() { var tester = new MersenneNumberDivisorByDivisorGpuTester { GpuBatchSize = 2, }; tester.ConfigureFromMaxPrime(47UL); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); var session = tester.CreateDivisorSession(gpu); try { ulong[] primes = [31UL, 37UL, 41UL, 43UL, 47UL]; ulong cycle223 = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL)); session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), cycle223, primes).Should().BeTrue(); ulong[] primesBeforeHit = [31UL]; session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), cycle223, primesBeforeHit).Should().BeFalse(); } finally { session.Return(); PrimeOrderCalculatorAccelerator.Return(gpu); } } [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 gpu = PrimeOrderCalculatorAccelerator.Rent(1); var session = tester.CreateDivisorSession(gpu); try { ulong[] exponents = [6UL, 7UL, 9UL, 10UL, 12UL]; MontgomeryDivisorData divisorData = MontgomeryDivisorDataPool.Shared.FromModulus(7UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 7UL, divisorData); session.CheckDivisor(7UL, divisorData, cycle, exponents).Should().BeTrue(); ulong[] nonDivisibleExponents = [5UL, 11UL]; session.CheckDivisor(7UL, divisorData, cycle, nonDivisibleExponents).Should().BeFalse(); } finally { session.Return(); PrimeOrderCalculatorAccelerator.Return(gpu); } } [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 gpu = PrimeOrderCalculatorAccelerator.Rent(1); var session = tester.CreateDivisorSession(gpu); try { ulong[] exponents = [10UL, 11UL, 20UL, 21UL, 30UL]; MontgomeryDivisorData divisorData = MontgomeryDivisorDataPool.Shared.FromModulus(11UL); ulong cycle = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 11UL, divisorData); session.CheckDivisor(11UL, divisorData, cycle, exponents).Should().BeTrue(); ulong[] nonDivisibleExponents = [5UL, 17UL]; session.CheckDivisor(11UL, divisorData, cycle, nonDivisibleExponents).Should().BeFalse(); } finally { session.Return(); PrimeOrderCalculatorAccelerator.Return(gpu); } } [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); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); try { var patchedTable = new List<(ulong Divisor, ulong Cycle)>(); ulong[] patchedSmall = new ulong[PerfectNumberConstants.MaxQForDivisorCycles + 1]; MontgomeryDivisorData divisorData = MontgomeryDivisorDataPool.Shared.FromModulus(191UL); patchedSmall[191] = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 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(gpu, 19UL, out bool divisorsExhausted, out BigInteger divisor).Should().BeTrue(); divisorsExhausted.Should().BeTrue(); divisor.Should().Be(BigInteger.Zero); } finally { PrimeOrderCalculatorAccelerator.Return(gpu); tableField.SetValue(cycles, originalTable); smallCyclesField.SetValue(cycles, originalSmall); DivisorCycleCache.Shared.RefreshSnapshot(); } } [Fact] [Trait("Category", "Fast")] public void ByDivisor_cpu_session_reuses_cycle_remainders_across_primes() { var tester = new MersenneNumberDivisorByDivisorCpuTester { BatchSize = 2, }; tester.ConfigureFromMaxPrime(47UL); var gpu = PrimeOrderCalculatorAccelerator.Rent(1); var session = tester.CreateDivisorSession(gpu); try { ulong[] primes = [31UL, 37UL, 41UL, 43UL, 47UL]; ulong cycle223 = MersenneDivisorCycles.CalculateCycleLengthGpu(gpu, 223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL)); session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), cycle223, primes).Should().BeTrue(); ulong[] primesBeforeHit = [31UL]; session.CheckDivisor(223UL, MontgomeryDivisorDataPool.Shared.FromModulus(223UL), cycle223, primesBeforeHit).Should().BeFalse(); } finally { session.Return(); PrimeOrderCalculatorAccelerator.Return(gpu); } } }