323 lines
12 KiB
C#
323 lines
12 KiB
C#
using System;
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using System.Collections.Generic;
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using System.Reflection;
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using FluentAssertions;
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using PerfectNumbers.Core;
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using PerfectNumbers.Core.Cpu;
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using PerfectNumbers.Core.Gpu;
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using Xunit;
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namespace PerfectNumbers.Core.Tests;
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public class MersenneNumberDivisorGpuTesterTests
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{
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[Theory]
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[InlineData(33UL, 7UL, true)]
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[InlineData(35UL, 31UL, true)]
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[InlineData(37UL, 223UL, true)]
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[InlineData(33UL, 13UL, false)]
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[InlineData(35UL, 73UL, false)]
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[InlineData(37UL, 227UL, false)]
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[Trait("Category", "Fast")]
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public void IsDivisible_returns_expected(ulong exponent, ulong divisor, bool expected)
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{
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var tester = new MersenneNumberDivisorGpuTester();
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ReadOnlyGpuUInt128 divisorValue = new ReadOnlyGpuUInt128(divisor);
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tester.IsDivisible(exponent, in divisorValue).Should().Be(expected);
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void IsDivisible_handles_large_divisors()
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{
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var tester = new MersenneNumberDivisorGpuTester();
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UInt128 divisor = (UInt128.One << 65) - UInt128.One;
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ReadOnlyGpuUInt128 divisorValue = new ReadOnlyGpuUInt128(divisor);
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tester.IsDivisible(65UL, in divisorValue).Should().BeTrue();
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divisorValue = new ReadOnlyGpuUInt128(divisor + 2); // Reusing divisorValue for the shifted candidate.
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tester.IsDivisible(65UL, in divisorValue).Should().BeFalse();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void IsPrime_sets_divisorsExhausted_false_when_search_range_not_exhausted()
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{
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var tester = new MersenneNumberDivisorGpuTester();
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typeof(MersenneNumberDivisorGpuTester)
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.GetField("_divisorCandidates", BindingFlags.NonPublic | BindingFlags.Static)!
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.SetValue(null, Array.Empty<(ulong, uint)>());
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tester.IsPrime(31UL, UInt128.Zero, 0UL, out bool divisorsExhausted).Should().BeTrue();
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divisorsExhausted.Should().BeFalse();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void IsPrime_sets_divisorsExhausted_true_when_divisible_by_specified_divisor()
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{
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var tester = new MersenneNumberDivisorGpuTester();
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tester.IsPrime(35UL, 31UL, 0UL, out bool divisorsExhausted).Should().BeFalse();
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divisorsExhausted.Should().BeTrue();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void IsPrime_accepts_large_search_limits()
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{
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var tester = new MersenneNumberDivisorGpuTester();
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tester.IsPrime(35UL, 31UL, ulong.MaxValue, out bool exhausted).Should().BeFalse();
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exhausted.Should().BeTrue();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_tester_tracks_divisors_across_primes()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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tester.ConfigureFromMaxPrime(43UL);
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tester.IsPrime(31UL, out bool exhausted).Should().BeTrue();
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exhausted.Should().BeTrue();
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tester.IsPrime(37UL, out exhausted).Should().BeFalse();
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exhausted.Should().BeTrue();
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tester.IsPrime(43UL, out exhausted).Should().BeFalse();
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exhausted.Should().BeTrue();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_gpu_prime_test_limit_stops_scan_immediately()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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tester.ConfigureFromMaxPrime(43UL);
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tester.IsPrime(31UL, out bool divisorsExhausted, TimeSpan.Zero).Should().BeTrue();
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divisorsExhausted.Should().BeFalse();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_tester_requires_configuration()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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Action act = () => tester.IsPrime(31UL, out _);
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act.Should().Throw<InvalidOperationException>();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_tester_respects_filter_based_limit()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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tester.ConfigureFromMaxPrime(41UL);
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tester.IsPrime(31UL, out _).Should().BeTrue();
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tester.IsPrime(37UL, out bool exhausted).Should().BeFalse();
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exhausted.Should().BeTrue();
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tester.IsPrime(41UL, out bool divisorsExhausted).Should().BeFalse();
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divisorsExhausted.Should().BeTrue();
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}
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[Theory]
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[InlineData(71UL, false)]
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[InlineData(89UL, true)]
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[InlineData(127UL, true)]
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[Trait("Category", "Fast")]
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public void ByDivisor_tester_matches_incremental_expectations(ulong exponent, bool expectedPrime)
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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tester.ConfigureFromMaxPrime(exponent);
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tester.IsPrime(exponent, out bool exhausted).Should().Be(expectedPrime);
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exhausted.Should().BeTrue();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_gpu_tester_uses_cycle_remainders_per_divisor()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester
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{
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GpuBatchSize = 8,
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};
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tester.ConfigureFromMaxPrime(43UL);
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tester.IsPrime(41UL, out bool divisorsExhausted).Should().BeFalse();
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divisorsExhausted.Should().BeTrue();
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_session_checks_divisors_across_primes()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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tester.ConfigureFromMaxPrime(43UL);
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using var session = tester.CreateDivisorSession();
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ulong[] primes = { 31UL, 37UL, 41UL, 43UL };
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byte[] hits = new byte[primes.Length];
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ulong cycle223 = MersenneDivisorCycles.CalculateCycleLength(223UL, MontgomeryDivisorData.FromModulus(223UL));
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session.CheckDivisor(223UL, MontgomeryDivisorData.FromModulus(223UL), cycle223, primes, hits);
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hits.Should().ContainInOrder(new byte[] { 0, 1, 0, 0 });
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Array.Fill(hits, (byte)0);
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ulong cycle13367 = MersenneDivisorCycles.CalculateCycleLength(13367UL, MontgomeryDivisorData.FromModulus(13367UL));
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session.CheckDivisor(13367UL, MontgomeryDivisorData.FromModulus(13367UL), cycle13367, primes, hits);
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hits.Should().ContainInOrder(new byte[] { 0, 0, 1, 0 });
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_gpu_session_reuses_cycle_remainders_across_batches()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester
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{
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GpuBatchSize = 2,
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};
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tester.ConfigureFromMaxPrime(47UL);
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using var session = tester.CreateDivisorSession();
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ulong[] primes = { 31UL, 37UL, 41UL, 43UL, 47UL };
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byte[] hits = new byte[primes.Length];
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ulong cycle223 = MersenneDivisorCycles.CalculateCycleLength(223UL, MontgomeryDivisorData.FromModulus(223UL));
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session.CheckDivisor(223UL, MontgomeryDivisorData.FromModulus(223UL), cycle223, primes, hits);
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hits.Should().ContainInOrder(new byte[] { 0, 1, 0, 0, 0 });
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_session_marks_mersenne_numbers_divisible_by_seven_as_composite()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester
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{
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GpuBatchSize = 5,
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};
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tester.ConfigureFromMaxPrime(43UL);
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using var session = tester.CreateDivisorSession();
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ulong[] exponents = { 6UL, 7UL, 9UL, 10UL, 12UL };
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byte[] hits = new byte[exponents.Length];
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MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(7UL);
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ulong cycle = MersenneDivisorCycles.CalculateCycleLength(7UL, divisorData);
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session.CheckDivisor(7UL, divisorData, cycle, exponents, hits);
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var hostBufferField = typeof(MersenneNumberDivisorByDivisorGpuTester.DivisorScanSession)
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.GetField("_hostBuffer", BindingFlags.NonPublic | BindingFlags.Instance)!;
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ulong[] hostBuffer = (ulong[])hostBufferField.GetValue(session)!;
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Span<ulong> residues = hostBuffer.AsSpan(0, exponents.Length);
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byte[] computedHits = new byte[exponents.Length];
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for (int i = 0; i < residues.Length; i++)
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{
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computedHits[i] = residues[i] == divisorData.MontgomeryOne ? (byte)1 : (byte)0;
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}
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computedHits.Should().Equal(new byte[] { 1, 0, 1, 0, 1 });
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_session_marks_mersenne_numbers_divisible_by_eleven_as_composite()
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{
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var tester = new MersenneNumberDivisorByDivisorGpuTester
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{
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GpuBatchSize = 5,
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};
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tester.ConfigureFromMaxPrime(61UL);
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using var session = tester.CreateDivisorSession();
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ulong[] exponents = { 10UL, 11UL, 20UL, 21UL, 30UL };
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byte[] hits = new byte[exponents.Length];
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MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(11UL);
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ulong cycle = MersenneDivisorCycles.CalculateCycleLength(11UL, divisorData);
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session.CheckDivisor(11UL, divisorData, cycle, exponents, hits);
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var hostBufferField = typeof(MersenneNumberDivisorByDivisorGpuTester.DivisorScanSession)
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.GetField("_hostBuffer", BindingFlags.NonPublic | BindingFlags.Instance)!;
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ulong[] hostBuffer = (ulong[])hostBufferField.GetValue(session)!;
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Span<ulong> residues = hostBuffer.AsSpan(0, exponents.Length);
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byte[] computedHits = new byte[exponents.Length];
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for (int i = 0; i < residues.Length; i++)
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{
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computedHits[i] = residues[i] == divisorData.MontgomeryOne ? (byte)1 : (byte)0;
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}
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computedHits.Should().Equal(new byte[] { 1, 0, 1, 0, 1 });
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_gpu_tester_skips_divisors_excluded_by_small_cycle_generation()
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{
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var cycles = MersenneDivisorCycles.Shared;
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var tableField = typeof(MersenneDivisorCycles).GetField("_table", BindingFlags.NonPublic | BindingFlags.Instance)!;
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var smallCyclesField = typeof(MersenneDivisorCycles).GetField("_smallCycles", BindingFlags.NonPublic | BindingFlags.Instance)!;
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var originalTable = (List<(ulong Divisor, ulong Cycle)>)tableField.GetValue(cycles)!;
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var originalSmall = (ulong[]?)smallCyclesField.GetValue(cycles);
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try
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{
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var patchedTable = new List<(ulong Divisor, ulong Cycle)>();
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ulong[] patchedSmall = new ulong[PerfectNumberConstants.MaxQForDivisorCycles + 1];
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MontgomeryDivisorData divisorData = MontgomeryDivisorData.FromModulus(191UL);
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patchedSmall[191] = MersenneDivisorCycles.CalculateCycleLength(191UL, divisorData);
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tableField.SetValue(cycles, patchedTable);
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smallCyclesField.SetValue(cycles, patchedSmall);
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DivisorCycleCache.Shared.RefreshSnapshot();
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var tester = new MersenneNumberDivisorByDivisorGpuTester();
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tester.ConfigureFromMaxPrime(19UL);
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typeof(MersenneNumberDivisorByDivisorGpuTester)
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.GetField("_divisorLimit", BindingFlags.NonPublic | BindingFlags.Instance)!
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.SetValue(tester, 200UL);
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tester.IsPrime(19UL, out bool divisorsExhausted).Should().BeTrue();
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divisorsExhausted.Should().BeTrue();
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}
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finally
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{
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tableField.SetValue(cycles, originalTable);
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smallCyclesField.SetValue(cycles, originalSmall);
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DivisorCycleCache.Shared.RefreshSnapshot();
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GpuContextPool.DisposeAll();
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}
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}
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[Fact]
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[Trait("Category", "Fast")]
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public void ByDivisor_cpu_session_reuses_cycle_remainders_across_primes()
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{
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var tester = new MersenneNumberDivisorByDivisorCpuTester
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{
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BatchSize = 2,
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};
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tester.ConfigureFromMaxPrime(47UL);
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using var session = tester.CreateDivisorSession();
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ulong[] primes = { 31UL, 37UL, 41UL, 43UL, 47UL };
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byte[] hits = new byte[primes.Length];
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ulong cycle223 = MersenneDivisorCycles.CalculateCycleLength(223UL, MontgomeryDivisorData.FromModulus(223UL));
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session.CheckDivisor(223UL, MontgomeryDivisorData.FromModulus(223UL), cycle223, primes, hits);
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hits.Should().ContainInOrder(new byte[] { 0, 1, 0, 0, 0 });
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}
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}
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