351 lines
13 KiB
C#
351 lines
13 KiB
C#
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<InvalidOperationException>();
|
|
}
|
|
|
|
[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<ulong> 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<ulong> 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);
|
|
}
|
|
}
|
|
|