431 lines
9.9 KiB
C#
431 lines
9.9 KiB
C#
using System;
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using System.Buffers;
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using System.Collections.Concurrent;
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using System.Runtime.InteropServices;
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using ILGPU;
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using ILGPU.Algorithms;
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using ILGPU.Runtime;
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namespace PerfectNumbers.Core.Gpu;
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public sealed class MersenneNumberDivisorByDivisorGpuTester
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{
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private int _gpuBatchSize = GpuConstants.ScanBatchSize;
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private readonly object _sync = new();
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private ulong _divisorLimit;
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private bool _isConfigured;
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private ulong _lastStatusDivisor;
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private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>>> _kernelCache = new();
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private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>>> _kernelByPrimeCache = new();
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private Action<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>> GetKernel(Accelerator accelerator) =>
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_kernelCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>>(CheckKernel));
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private Action<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>> GetKernelByPrime(Accelerator accelerator) =>
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_kernelByPrimeCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>>(CheckKernelByPrime));
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public int GpuBatchSize
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{
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get => _gpuBatchSize;
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set => _gpuBatchSize = Math.Max(1, value);
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}
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public void ConfigureFromMaxPrime(ulong maxPrime)
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{
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lock (_sync)
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{
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_divisorLimit = ComputeDivisorLimitFromMaxPrime(maxPrime);
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_lastStatusDivisor = 0UL;
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_isConfigured = true;
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}
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}
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public bool IsPrime(ulong prime, out bool divisorsExhausted)
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{
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lock (_sync)
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{
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if (!_isConfigured)
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{
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throw new InvalidOperationException("ConfigureFromMaxPrime must be called before using the tester.");
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}
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ulong allowedMax = ComputeAllowedMaxDivisor(prime);
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if (allowedMax < 3UL)
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{
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divisorsExhausted = true;
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return true;
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}
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bool composite = CheckDivisors(prime, allowedMax, out ulong lastProcessed, out bool coveredRange);
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if (lastProcessed != 0UL)
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{
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ReportStatus(lastProcessed);
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}
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if (composite)
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{
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divisorsExhausted = true;
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return false;
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}
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divisorsExhausted = coveredRange;
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return true;
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}
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}
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private bool CheckDivisors(ulong prime, ulong allowedMax, out ulong lastProcessed, out bool coveredRange)
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{
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allowedMax = Math.Min(allowedMax, _divisorLimit);
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lastProcessed = 0UL;
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if (allowedMax < 3UL)
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{
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coveredRange = true;
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return false;
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}
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var gpuLease = GpuContextPool.RentPreferred(preferCpu: false);
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var accelerator = gpuLease.Accelerator;
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var kernel = GetKernel(accelerator);
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int batchCapacity = _gpuBatchSize;
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var divisorsBuffer = accelerator.Allocate1D<ulong>(batchCapacity);
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var hitsBuffer = accelerator.Allocate1D<byte>(batchCapacity);
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ulong[] divisors = ArrayPool<ulong>.Shared.Rent(batchCapacity);
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byte[] hits = ArrayPool<byte>.Shared.Rent(batchCapacity);
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bool composite = false;
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bool processedAll = false;
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ulong divisor = 3UL;
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try
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{
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while (divisor <= allowedMax)
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{
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int batchSize = 0;
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bool reachedEndInBatch = false;
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while (batchSize < batchCapacity && divisor <= allowedMax)
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{
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ulong current = divisor;
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divisors[batchSize++] = current;
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ulong next = current + 2UL;
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ReportStatus(lastProcessed);
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if (next <= current)
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{
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reachedEndInBatch = true;
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break;
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}
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if (next > allowedMax)
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{
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divisor = next;
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reachedEndInBatch = true;
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break;
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}
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divisor = next;
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}
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if (batchSize == 0)
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{
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break;
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}
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var divisorView = divisorsBuffer.View.SubView(0, batchSize);
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var hitsView = hitsBuffer.View.SubView(0, batchSize);
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Span<ulong> divisorSpan = divisors.AsSpan(0, batchSize);
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Span<byte> hitsSpan = hits.AsSpan(0, batchSize);
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divisorView.CopyFromCPU(ref MemoryMarshal.GetReference(divisorSpan), batchSize);
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kernel(batchSize, prime, divisorView, hitsView);
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accelerator.Synchronize();
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hitsView.CopyToCPU(ref MemoryMarshal.GetReference(hitsSpan), batchSize);
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for (int i = 0; i < batchSize; i++)
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{
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lastProcessed = divisorSpan[i];
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if (hitsSpan[i] != 0)
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{
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composite = true;
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break;
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}
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}
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ReportStatus(lastProcessed);
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if (composite)
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{
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break;
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}
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if (reachedEndInBatch)
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{
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processedAll = true;
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break;
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}
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}
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coveredRange = composite || processedAll || divisor > allowedMax;
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}
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finally
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{
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ArrayPool<byte>.Shared.Return(hits, clearArray: true);
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ArrayPool<ulong>.Shared.Return(divisors, clearArray: true);
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hitsBuffer.Dispose();
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divisorsBuffer.Dispose();
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gpuLease.Dispose();
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}
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return composite;
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}
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private void ReportStatus(ulong divisor)
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{
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if (++_lastStatusDivisor == PerfectNumberConstants.ConsoleInterval)
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{
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Console.WriteLine($"...processed by-divisor candidate = {divisor}");
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_lastStatusDivisor = 0;
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}
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}
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private static ulong ComputeDivisorLimitFromMaxPrime(ulong maxPrime)
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{
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if (maxPrime <= 1UL)
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{
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return 0UL;
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}
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if (maxPrime - 1UL >= 64UL)
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{
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return ulong.MaxValue;
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}
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return (1UL << (int)(maxPrime - 1UL)) - 1UL;
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}
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private ulong ComputeAllowedMaxDivisor(ulong prime)
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{
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if (prime <= 1UL)
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{
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return 0UL;
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}
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if (prime - 1UL >= 64UL)
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{
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return _divisorLimit;
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}
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ulong maxByPrime = (1UL << (int)(prime - 1UL)) - 1UL;
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return Math.Min(maxByPrime, _divisorLimit);
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}
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private static void CheckKernel(Index1D index, ulong prime, ArrayView<ulong> divisors, ArrayView<byte> hits)
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{
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ulong divisor = divisors[index];
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if (divisor <= 1UL || (divisor & 1UL) == 0UL)
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{
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hits[index] = 0;
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return;
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}
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ulong pow = Pow2Mod(prime, divisor);
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hits[index] = pow == 1UL ? (byte)1 : (byte)0;
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}
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public sealed class DivisorScanSession : IDisposable
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{
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private readonly MersenneNumberDivisorByDivisorGpuTester _owner;
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private readonly GpuContextPool.GpuContextLease _lease;
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private readonly Accelerator _accelerator;
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private readonly Action<Index1D, ulong, ArrayView<ulong>, ArrayView<byte>> _kernel;
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private readonly MemoryBuffer1D<ulong, Stride1D.Dense> _primesBuffer;
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private readonly MemoryBuffer1D<byte, Stride1D.Dense> _hitsBuffer;
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private readonly ulong[] _primesHost;
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private readonly byte[] _hitsHost;
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private bool _disposed;
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internal DivisorScanSession(MersenneNumberDivisorByDivisorGpuTester owner)
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{
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_owner = owner;
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_lease = GpuContextPool.RentPreferred(preferCpu: false);
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_accelerator = _lease.Accelerator;
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_kernel = owner.GetKernelByPrime(_accelerator);
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_primesBuffer = _accelerator.Allocate1D<ulong>(owner._gpuBatchSize);
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_hitsBuffer = _accelerator.Allocate1D<byte>(owner._gpuBatchSize);
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_primesHost = ArrayPool<ulong>.Shared.Rent(owner._gpuBatchSize);
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_hitsHost = ArrayPool<byte>.Shared.Rent(owner._gpuBatchSize);
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}
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public void CheckDivisor(ulong divisor, ReadOnlySpan<ulong> primes, Span<byte> hits)
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{
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if (_disposed)
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{
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throw new ObjectDisposedException(nameof(DivisorScanSession));
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}
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if (primes.Length == 0)
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{
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return;
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}
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int offset = 0;
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while (offset < primes.Length)
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{
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int batchSize = Math.Min(_owner._gpuBatchSize, primes.Length - offset);
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Span<ulong> primeSpan = _primesHost.AsSpan(0, batchSize);
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primes.Slice(offset, batchSize).CopyTo(primeSpan);
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var primesView = _primesBuffer.View.SubView(0, batchSize);
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var hitsView = _hitsBuffer.View.SubView(0, batchSize);
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primesView.CopyFromCPU(ref MemoryMarshal.GetReference(primeSpan), batchSize);
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_kernel(batchSize, divisor, primesView, hitsView);
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_accelerator.Synchronize();
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Span<byte> hitSpan = _hitsHost.AsSpan(0, batchSize);
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hitsView.CopyToCPU(ref MemoryMarshal.GetReference(hitSpan), batchSize);
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hitSpan.CopyTo(hits.Slice(offset, batchSize));
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offset += batchSize;
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}
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}
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public void Dispose()
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{
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if (_disposed)
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{
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return;
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}
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_disposed = true;
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ArrayPool<ulong>.Shared.Return(_primesHost, clearArray: true);
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ArrayPool<byte>.Shared.Return(_hitsHost, clearArray: true);
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_primesBuffer.Dispose();
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_hitsBuffer.Dispose();
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_lease.Dispose();
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}
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}
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private static ulong Pow2Mod(ulong exponent, ulong modulus)
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{
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if (modulus <= 1UL)
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{
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return 0UL;
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}
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ulong result = 1UL % modulus;
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ulong baseVal = 2UL % modulus;
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ulong exp = exponent;
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while (exp > 0UL)
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{
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if ((exp & 1UL) != 0UL)
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{
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result = MulMod(result, baseVal, modulus);
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}
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exp >>= 1;
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if (exp == 0UL)
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{
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break;
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}
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baseVal = MulMod(baseVal, baseVal, modulus);
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}
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return result;
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}
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private static ulong MulMod(ulong a, ulong b, ulong modulus)
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{
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if (modulus == 0UL)
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{
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return 0UL;
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}
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ulong result = 0UL;
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ulong x = a % modulus;
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ulong y = b;
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while (y > 0UL)
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{
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if ((y & 1UL) != 0UL)
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{
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result += x;
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if (result >= modulus)
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{
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result -= modulus;
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}
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}
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x <<= 1;
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if (x >= modulus)
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{
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x -= modulus;
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}
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y >>= 1;
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}
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return result;
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}
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private static void CheckKernelByPrime(Index1D index, ulong divisor, ArrayView<ulong> primes, ArrayView<byte> hits)
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{
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ulong prime = primes[index];
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if (divisor <= 1UL || (divisor & 1UL) == 0UL)
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{
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hits[index] = 0;
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return;
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}
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ulong pow = Pow2Mod(prime, divisor);
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hits[index] = pow == 1UL ? (byte)1 : (byte)0;
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}
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public ulong DivisorLimit
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{
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get
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{
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lock (_sync)
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{
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if (!_isConfigured)
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{
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throw new InvalidOperationException("ConfigureFromMaxPrime must be called before using the tester.");
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}
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return _divisorLimit;
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}
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}
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}
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public ulong GetAllowedMaxDivisor(ulong prime)
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{
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lock (_sync)
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{
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if (!_isConfigured)
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{
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throw new InvalidOperationException("ConfigureFromMaxPrime must be called before using the tester.");
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}
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return ComputeAllowedMaxDivisor(prime);
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}
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}
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public DivisorScanSession CreateDivisorSession()
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{
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lock (_sync)
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{
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if (!_isConfigured)
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{
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throw new InvalidOperationException("ConfigureFromMaxPrime must be called before using the tester.");
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}
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return new DivisorScanSession(this);
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}
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}
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}
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