Files
even-perfect-numbers-scanner/PerfectNumbers.Core/Gpu/MersenneNumberResidueGpuTester.cs
T

197 lines
8.9 KiB
C#

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