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

379 lines
11 KiB
C#

using System;
using System.Buffers;
using System.Collections.Concurrent;
using System.Runtime.CompilerServices;
using System.Threading.Tasks;
using ILGPU;
using ILGPU.Runtime;
using PerfectNumbers.Core.Gpu;
namespace PerfectNumbers.Core;
public sealed class DivisorCycleCache
{
internal sealed class CycleBlock
{
internal CycleBlock(int index, ulong start, ulong[] cycles)
{
Index = index;
Start = start;
Cycles = cycles;
End = start + (ulong)cycles.Length - 1UL;
}
internal int Index { get; }
internal ulong Start { get; }
internal ulong End { get; }
internal ulong[] Cycles { get; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
internal ulong GetCycle(ulong divisor)
{
if (divisor < Start || divisor > End)
{
return 0UL;
}
return Cycles[(int)(divisor - Start)];
}
}
public struct Lease : IDisposable
{
private CycleBlock? _block;
internal Lease(CycleBlock block)
{
_block = block;
}
public readonly bool IsValid => _block is not null;
public readonly ulong Start => _block?.Start ?? 0UL;
public readonly ulong End => _block?.End ?? 0UL;
public readonly ulong[]? Values => _block?.Cycles;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public readonly ulong GetCycle(ulong divisor) => _block?.GetCycle(divisor) ?? 0UL;
public void Dispose()
{
_block = null;
}
}
private readonly object _sync = new();
private readonly ConcurrentDictionary<int, Task<CycleBlock>> _pending = new();
private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>> _gpuKernelCache = new(AcceleratorReferenceComparer.Instance);
private CycleBlock _baseBlock = null!;
private CycleBlock? _activeBlock;
private CycleBlock? _prefetchedBlock;
private bool _useGpuGeneration = true;
public static DivisorCycleCache Shared { get; } = new DivisorCycleCache();
private DivisorCycleCache()
{
ulong[] snapshot = MersenneDivisorCycles.Shared.ExportSmallCyclesSnapshot();
Initialize(snapshot);
}
public void ReloadFromCurrentSnapshot()
{
ulong[] snapshot = MersenneDivisorCycles.Shared.ExportSmallCyclesSnapshot();
Initialize(snapshot);
}
public void ConfigureGeneratorDevice(bool useGpu)
{
lock (_sync)
{
_useGpuGeneration = useGpu;
}
}
private void Initialize(ulong[] snapshot)
{
lock (_sync)
{
_pending.Clear();
_baseBlock = new CycleBlock(index: 0, start: 0UL, snapshot);
_activeBlock = null;
_prefetchedBlock = null;
StartPrefetchLocked(1);
}
}
public Lease Acquire(ulong divisor)
{
if (divisor <= _baseBlock.End)
{
return new Lease(_baseBlock);
}
CycleBlock block = AcquireDynamicBlock(divisor);
return new Lease(block);
}
private CycleBlock AcquireDynamicBlock(ulong divisor)
{
int blockIndex = GetBlockIndex(divisor);
while (true)
{
Task<CycleBlock>? pendingTask = null;
lock (_sync)
{
if (TryGetCachedBlockLocked(blockIndex, out CycleBlock? cached))
{
return cached!;
}
if (!_pending.TryGetValue(blockIndex, out pendingTask))
{
pendingTask = Task.Run(() => GenerateBlock(blockIndex));
_pending[blockIndex] = pendingTask;
}
}
CycleBlock block = pendingTask.GetAwaiter().GetResult();
lock (_sync)
{
_pending.TryRemove(blockIndex, out _);
if (TryGetCachedBlockLocked(blockIndex, out CycleBlock? cachedAfterAwait))
{
return cachedAfterAwait!;
}
SetActiveBlockLocked(block);
return block;
}
}
}
private bool TryGetCachedBlockLocked(int blockIndex, out CycleBlock? block)
{
CycleBlock? active = _activeBlock;
if (active is not null && active.Index == blockIndex)
{
block = active;
return true;
}
CycleBlock? prefetched = _prefetchedBlock;
if (prefetched is not null && prefetched.Index == blockIndex)
{
PromotePrefetchedLocked();
block = _activeBlock!;
return true;
}
block = null;
return false;
}
private void PromotePrefetchedLocked()
{
CycleBlock? prefetched = _prefetchedBlock;
if (prefetched is null)
{
return;
}
_activeBlock = prefetched;
_prefetchedBlock = null;
StartPrefetchLocked(prefetched.Index + 1);
}
private void SetActiveBlockLocked(CycleBlock block)
{
_activeBlock = block;
CycleBlock? prefetched = _prefetchedBlock;
if (prefetched is not null && prefetched.Index != block.Index + 1)
{
_prefetchedBlock = null;
}
StartPrefetchLocked(block.Index + 1);
}
private void StartPrefetchLocked(int blockIndex)
{
if (blockIndex <= 0)
{
return;
}
CycleBlock? prefetched = _prefetchedBlock;
if (prefetched is not null && prefetched.Index == blockIndex)
{
return;
}
if (_pending.TryGetValue(blockIndex, out Task<CycleBlock>? existing))
{
if (existing.IsCompletedSuccessfully)
{
_pending.TryRemove(blockIndex, out _);
AssignPrefetchedBlockLocked(blockIndex, existing.Result);
}
return;
}
Task<CycleBlock> task = Task.Run(() => GenerateBlock(blockIndex));
_pending[blockIndex] = task;
task.ContinueWith(t => OnPrefetchCompleted(blockIndex, t), TaskScheduler.Default);
}
private void OnPrefetchCompleted(int blockIndex, Task<CycleBlock> task)
{
if (!task.IsCompletedSuccessfully)
{
_pending.TryRemove(blockIndex, out _);
return;
}
lock (_sync)
{
_pending.TryRemove(blockIndex, out _);
AssignPrefetchedBlockLocked(blockIndex, task.Result);
}
}
private void AssignPrefetchedBlockLocked(int blockIndex, CycleBlock block)
{
CycleBlock? active = _activeBlock;
if (active is not null && blockIndex != active.Index + 1)
{
return;
}
if (_prefetchedBlock is null || _prefetchedBlock.Index < blockIndex)
{
_prefetchedBlock = block;
}
}
private CycleBlock GenerateBlock(int blockIndex)
{
if (blockIndex == 0)
{
return _baseBlock;
}
ulong start = GetBlockStart(blockIndex);
int length = _baseBlock.Cycles.Length;
ulong[] cycles = new ulong[length];
if (_useGpuGeneration)
{
ComputeCyclesGpu(start, cycles);
}
else
{
ComputeCyclesCpu(start, cycles);
}
return new CycleBlock(blockIndex, start, cycles);
}
private int GetBlockIndex(ulong divisor)
{
if (divisor <= _baseBlock.End)
{
return 0;
}
ulong offset = divisor - (_baseBlock.End + 1UL);
return (int)(offset / (ulong)PerfectNumberConstants.MaxQForDivisorCycles) + 1;
}
private ulong GetBlockStart(int blockIndex)
{
if (blockIndex == 0)
{
return 0UL;
}
ulong baseEnd = _baseBlock.End;
return baseEnd + 1UL + (ulong)(blockIndex - 1) * (ulong)PerfectNumberConstants.MaxQForDivisorCycles;
}
private void ComputeCyclesCpu(ulong start, ulong[] destination)
{
ulong divisor = start;
for (int i = 0; i < destination.Length; i++)
{
destination[i] = MersenneDivisorCycles.CalculateCycleLength(divisor);
divisor++;
}
}
private void ComputeCyclesGpu(ulong start, ulong[] destination)
{
var gpuLease = GpuKernelPool.GetKernel(_useGpuGeneration);
var execution = gpuLease.EnterExecutionScope();
try
{
Accelerator accelerator = gpuLease.Accelerator;
Action<Index1D, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>> kernel = _gpuKernelCache.GetOrAdd(accelerator, LoadKernel);
int length = destination.Length;
ulong[] divisors = ArrayPool<ulong>.Shared.Rent(length);
try
{
for (int i = 0; i < length; i++)
{
divisors[i] = start + (ulong)i;
}
using MemoryBuffer1D<ulong, Stride1D.Dense> divisorBuffer = accelerator.Allocate1D<ulong>(length);
using MemoryBuffer1D<ulong, Stride1D.Dense> resultBuffer = accelerator.Allocate1D<ulong>(length);
divisorBuffer.View.CopyFromCPU(ref divisors[0], length);
kernel(length, divisorBuffer.View, resultBuffer.View);
accelerator.Synchronize();
resultBuffer.View.CopyToCPU(ref destination[0], length);
}
finally
{
ArrayPool<ulong>.Shared.Return(divisors, clearArray: false);
}
}
finally
{
execution.Dispose();
gpuLease.Dispose();
}
}
private static Action<Index1D, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>> LoadKernel(Accelerator accelerator)
{
return accelerator.LoadAutoGroupedStreamKernel<Index1D, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>(GpuDivisorCycleKernel);
}
private static void GpuDivisorCycleKernel(Index1D index, ArrayView1D<ulong, Stride1D.Dense> divisors, ArrayView1D<ulong, Stride1D.Dense> cycles)
{
cycles[index] = MersenneDivisorCycles.CalculateCycleLengthGpu(divisors[index]);
}
private sealed class AcceleratorReferenceComparer : IEqualityComparer<Accelerator>
{
internal static AcceleratorReferenceComparer Instance { get; } = new();
public bool Equals(Accelerator? x, Accelerator? y) => ReferenceEquals(x, y);
public int GetHashCode(Accelerator obj) => RuntimeHelpers.GetHashCode(obj);
}
}