197 lines
8.9 KiB
C#
197 lines
8.9 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.Collections.Generic;
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using System.Runtime.InteropServices;
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using System.Threading;
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using System.Runtime.CompilerServices;
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using ILGPU;
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using ILGPU.Runtime;
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namespace PerfectNumbers.Core.Gpu;
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public class MersenneNumberResidueGpuTester(bool useGpuOrder)
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{
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private readonly bool _useGpuOrder = useGpuOrder;
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private readonly ConcurrentBag<GpuContextPool.GpuContextLease> _acceleratorPool = new();
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private readonly ConcurrentDictionary<Accelerator, Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>> _pow2ModKernelCache = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentDictionary<Accelerator, ConcurrentBag<ResidueResources>> _resourcePools = new(AcceleratorReferenceComparer.Instance);
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// TODO: Integrate MersenneDivisorCycles.Shared to consult cycle lengths for small q (<= 4M) and fast-reject
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// candidates without launching heavy kernels. Consider a device-visible constant buffer per-accelerator
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// via GpuKernelPool to avoid host round-trips.
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// TODO: When cycles are missing for larger q values, compute only the single required cycle on the device
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// requested by the caller, skip queuing additional block generation, and keep the snapshot cache untouched.
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// GPU residue variant: check 2^p % q == 1 for q = 2*p*k + 1.
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public void Scan(ulong exponent, UInt128 twoP, LastDigit lastDigit, UInt128 maxK, ref bool isPrime)
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{
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var limiter = GpuPrimeWorkLimiter.Acquire();
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var gpuLease = RentAccelerator();
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var accelerator = gpuLease.Accelerator;
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// Monitor.Enter(gpuLease.ExecutionLock);
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var stream = accelerator.CreateStream();
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var kernel = GetPow2ModKernel(accelerator);
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var resources = RentResources(accelerator, GpuConstants.ScanBatchSize);
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var orderBuffer = resources.OrderBuffer;
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ulong[] orderArray = resources.OrderArray;
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int batchSize = resources.Capacity;
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// Ensure device has small cycles and primes tables for in-kernel lookup
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var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(accelerator);
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ResiduePrimeViews primeViews = GpuKernelPool.EnsureSmallPrimesOnDevice(accelerator);
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UInt128 kStart = 1UL;
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UInt128 limit = maxK + UInt128.One;
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byte last = lastDigit == LastDigit.Seven ? (byte)1 : (byte)0;
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twoP.Mod10_8_5_3(out ulong step10, out ulong step8, out ulong step5, out ulong step3);
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step10 = step10.Mod10();
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GpuUInt128 twoPGpu = (GpuUInt128)twoP;
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UInt128 batchSize128 = (UInt128)batchSize;
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UInt128 fullBatchStep = twoP * batchSize128;
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UInt128 q = twoP * kStart + UInt128.One;
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while (kStart < limit && Volatile.Read(ref isPrime))
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{
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UInt128 remaining = limit - kStart;
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int currentSize = remaining > batchSize128 ? batchSize : (int)remaining;
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Span<ulong> orders = orderArray.AsSpan(0, currentSize);
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ref ulong ordersRef = ref MemoryMarshal.GetReference(orders);
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q.Mod10_8_5_3(out ulong q0m10, out ulong q0m8, out ulong q0m5, out ulong q0m3);
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var kernelArgs = new ResidueAutomatonArgs(q0m10, step10, q0m8, step8, q0m3, step3, q0m5, step5);
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kernel(stream, currentSize, exponent, twoPGpu, (GpuUInt128)kStart, last, 0UL,
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kernelArgs, orderBuffer.View, smallCyclesView, primeViews.LastOne, primeViews.LastSeven, primeViews.LastOnePow2, primeViews.LastSevenPow2);
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stream.Synchronize();
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orderBuffer.View.CopyToCPU(ref ordersRef, currentSize);
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if (!Volatile.Read(ref isPrime))
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{
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break;
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}
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bool compositeFound = false;
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for (int i = 0; i < currentSize; i++)
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{
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if (orders[i] != 0UL)
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{
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Volatile.Write(ref isPrime, false);
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compositeFound = true;
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break;
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}
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}
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if (compositeFound)
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{
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break;
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}
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UInt128 processed = (UInt128)currentSize;
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kStart += processed;
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if (kStart < limit)
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{
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if (processed == batchSize128)
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{
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q += fullBatchStep;
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}
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else
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{
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q += twoP * processed; // TODO: Swap this multiplication for the shared cycle stepping helper once residue cycles are mandatory so we can reuse the cached remainder ladder instead of performing UInt128 multiply operations.
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}
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}
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}
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ReturnResources(accelerator, resources);
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stream.Dispose();
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// Monitor.Exit(gpuLease.ExecutionLock);
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ReturnAccelerator(gpuLease);
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limiter.Dispose();
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}
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private Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>> GetPow2ModKernel(Accelerator accelerator) =>
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_pow2ModKernelCache.GetOrAdd(
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accelerator,
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static acc =>
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{
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var loaded = acc.LoadAutoGroupedStreamKernel<Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>(Pow2ModKernels.Pow2ModKernelScan);
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return (Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>)Delegate.CreateDelegate(
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typeof(Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>),
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loaded.Target,
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loaded.Method);
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});
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private GpuContextPool.GpuContextLease RentAccelerator()
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{
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if (_acceleratorPool.TryTake(out var lease))
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{
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return lease;
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}
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return GpuContextPool.Rent();
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}
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private void ReturnAccelerator(GpuContextPool.GpuContextLease lease) => _acceleratorPool.Add(lease);
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private ResidueResources RentResources(Accelerator accelerator, int capacity)
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{
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var bag = _resourcePools.GetOrAdd(accelerator, static _ => new ConcurrentBag<ResidueResources>());
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while (bag.TryTake(out var resources))
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{
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if (resources.Capacity >= capacity)
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{
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// The caller always overwrites the required elements. We don't need to worry about clearing the output buffer.
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// resources.OrderBuffer.MemSetToZero();
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return resources;
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}
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resources.Dispose();
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}
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var created = new ResidueResources(accelerator, capacity);
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// The caller always overwrites the required elements. We don't need to worry about clearing the output buffer.
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// created.OrderBuffer.MemSetToZero();
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return created;
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}
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private void ReturnResources(Accelerator accelerator, ResidueResources resources) =>
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_resourcePools.GetOrAdd(accelerator, static _ => new ConcurrentBag<ResidueResources>()).Add(resources);
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private sealed class ResidueResources
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{
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internal ResidueResources(Accelerator accelerator, int capacity)
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{
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Capacity = Math.Max(1, capacity);
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OrderBuffer = accelerator.Allocate1D<ulong>(Capacity);
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OrderArray = ArrayPool<ulong>.Shared.Rent(Capacity);
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}
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internal MemoryBuffer1D<ulong, Stride1D.Dense> OrderBuffer { get; }
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internal ulong[] OrderArray { get; }
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internal int Capacity { get; }
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public void Dispose()
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{
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OrderBuffer.Dispose();
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ArrayPool<ulong>.Shared.Return(OrderArray, clearArray: false);
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}
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}
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private sealed class AcceleratorReferenceComparer : IEqualityComparer<Accelerator>
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{
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public static AcceleratorReferenceComparer Instance { get; } = new();
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public bool Equals(Accelerator? x, Accelerator? y) => ReferenceEquals(x, y);
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public int GetHashCode(Accelerator obj) => RuntimeHelpers.GetHashCode(obj);
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}
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}
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