Merge remote-tracking branch 'github/codex/optimize-evenperfectbitscanner-for-static-arrays-khd9w8' into work

# Conflicts:
#	PerfectNumbers.Core/Gpu/GpuContextPool.cs
#	PerfectNumbers.Core/Gpu/GpuKernelLease.cs
#	PerfectNumbers.Core/Gpu/GpuKernelPool.cs
#	PerfectNumbers.Core/Gpu/GpuStaticTableInitializer.cs
#	PerfectNumbers.Core/Gpu/Kernels/PrimeOrderSpecialMaxKernels.cs
#	PerfectNumbers.Core/PrimeOrderCalculator.Cpu.cs
#	PerfectNumbers.Core/PrimeOrderCalculator.Gpu.cs
#	PerfectNumbers.Core/PrimeTester.cs
This commit is contained in:
Marek Lemańczyk committed 2025-11-03 23:59:12 +01:00
1 parent 507daaddb9
commit 4c4d4243fb
23 files changed
+858 -633

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+9 -11
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@@ -1,4 +1,3 @@
using System;
using System.Collections.Concurrent;
using ILGPU;
using ILGPU.Runtime;
@@ -15,14 +14,12 @@ public static class GpuContextPool
public readonly Context Context;
public readonly Accelerator Accelerator;
private static readonly Context _sharedContext = Context.CreateDefault();
private static readonly Device _sharedDevice = _sharedContext.GetPreferredDevice(false);
private static readonly Accelerator _sharedAccelerator = _sharedDevice.CreateAccelerator(_sharedContext);
public PooledContext()
public PooledContext(KernelContainer kernels)
{
Context = _sharedContext;
Accelerator = _sharedAccelerator;
Context = SharedGpuContext.Context;
Accelerator = SharedGpuContext.Accelerator;
GpuStaticTableInitializer.EnsureStaticTables(kernels, Accelerator);
kernels.Dispose();
// NOTE: Avoid loading/compiling any kernel here to prevent implicit
// CL stream/queue creation during accelerator construction.
// Some OpenCL drivers are fragile when a queue is created immediately
@@ -48,7 +45,7 @@ public static class GpuContextPool
private static int WarmedGpuContextCount;
// Allows callers to choose CPU/GPU per use-case, decoupled from ForceCpu.
public static GpuContextLease Rent()
public static GpuContextLease Rent()
{
if (GpuPool.TryDequeue(out var gpu))
{
@@ -56,7 +53,7 @@ public static class GpuContextPool
}
// Create a new accelerator when the pool does not have one available.
return new GpuContextLease(new PooledContext());
return new GpuContextLease(new PooledContext(GpuKernelPool.GetKernels()));
}
@@ -74,7 +71,8 @@ public static class GpuContextPool
PooledContext context;
for (int i = 0; i < toCreate; i++)
{
context = new PooledContext();
KernelContainer kernels = GpuKernelPool.GetKernels();
context = new PooledContext(kernels);
contexts[i] = context;
pool.Enqueue(context);
}
+31 -19
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@@ -2,6 +2,7 @@ using System;
using System.Collections.Concurrent;
using ILGPU;
using ILGPU.Runtime;
using PerfectNumbers.Core;
using static PerfectNumbers.Core.Gpu.GpuContextPool;
namespace PerfectNumbers.Core.Gpu;
@@ -10,25 +11,24 @@ public sealed class GpuKernelLease
{
private static readonly ConcurrentQueue<GpuKernelLease> Pool = new();
private Action? _releaseLimiter;
private GpuContextLease? _gpu;
private KernelContainer? _kernels;
public KernelContainer Kernels;
private AcceleratorStream? _stream;
private GpuKernelLease()
{
}
private GpuKernelLease(KernelContainer kernels)
{
Kernels = kernels;
}
internal static GpuKernelLease Rent(GpuPrimeWorkLimiter.Lease limiter, GpuContextLease gpu, KernelContainer kernels)
internal static GpuKernelLease Rent(GpuContextLease gpu, KernelContainer kernels)
{
if (!Pool.TryDequeue(out var lease))
{
lease = new GpuKernelLease();
lease = new GpuKernelLease(kernels);
}
lease._releaseLimiter = limiter.Dispose;
lease._gpu = gpu;
lease._kernels = kernels;
lease.Kernels = kernels;
lease._stream = null;
return lease;
}
@@ -56,7 +56,7 @@ public sealed class GpuKernelLease
get
{
var accel = Accelerator; // avoid capturing 'this' in lambda
return KernelContainer.InitOnce(ref _kernels!.Order, () =>
return KernelContainer.InitOnce(ref Kernels!.Order, () =>
{
var loaded = accel.LoadAutoGroupedStreamKernel<Index1D, ulong, ulong, ArrayView<GpuUInt128>, ArrayView<ulong>>(OrderKernels.OrderKernelScan);
var kernel = KernelUtil.GetKernel(loaded);
@@ -70,7 +70,7 @@ public sealed class GpuKernelLease
get
{
var accel = Accelerator;
return KernelContainer.InitOnce(ref _kernels!.Pow2Mod, () =>
return KernelContainer.InitOnce(ref Kernels!.Pow2Mod, () =>
{
var loaded = accel.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);
var kernel = KernelUtil.GetKernel(loaded);
@@ -84,7 +84,7 @@ public sealed class GpuKernelLease
get
{
var accel = Accelerator;
return KernelContainer.InitOnce(ref _kernels!.Incremental, () =>
return KernelContainer.InitOnce(ref Kernels!.Incremental, () =>
{
var loaded = accel.LoadAutoGroupedStreamKernel<Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ulong, ulong, ulong, ulong, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>>(IncrementalKernels.IncrementalKernelScan);
var kernel = KernelUtil.GetKernel(loaded);
@@ -98,7 +98,7 @@ public sealed class GpuKernelLease
get
{
var accel = Accelerator;
return KernelContainer.InitOnce(ref _kernels!.IncrementalOrder, () =>
return KernelContainer.InitOnce(ref Kernels!.IncrementalOrder, () =>
{
var loaded = accel.LoadAutoGroupedStreamKernel<Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<int>, ArrayView1D<ulong, Stride1D.Dense>>(IncrementalKernels.IncrementalOrderKernelScan);
var kernel = KernelUtil.GetKernel(loaded);
@@ -112,7 +112,7 @@ public sealed class GpuKernelLease
get
{
var accel = Accelerator;
return KernelContainer.InitOnce(ref _kernels!.Pow2ModOrder, () =>
return KernelContainer.InitOnce(ref Kernels!.Pow2ModOrder, () =>
{
var loaded = accel.LoadAutoGroupedStreamKernel<Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong, ResidueAutomatonArgs, ArrayView<int>, ArrayView1D<ulong, Stride1D.Dense>>(Pow2ModKernels.Pow2ModOrderKernelScan);
var kernel = KernelUtil.GetKernel(loaded);
@@ -121,12 +121,26 @@ public sealed class GpuKernelLease
}
}
public Action<AcceleratorStream, Index1D, ulong, ArrayView1D<ulong, Stride1D.Dense>, int, MontgomeryDivisorData, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ushort, Stride1D.Dense>> SpecialMaxKernel
{
get
{
var accel = Accelerator;
return KernelContainer.InitOnce(ref Kernels!.SpecialMax, () =>
{
var loaded = accel.LoadAutoGroupedStreamKernel<Index1D, ulong, ArrayView1D<ulong, Stride1D.Dense>, int, MontgomeryDivisorData, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ushort, Stride1D.Dense>>(PrimeOrderGpuHeuristics.EvaluateSpecialMaxCandidatesKernel);
var kernel = KernelUtil.GetKernel(loaded);
return kernel.CreateLauncherDelegate<Action<AcceleratorStream, Index1D, ulong, ArrayView1D<ulong, Stride1D.Dense>, int, MontgomeryDivisorData, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ushort, Stride1D.Dense>>>();
});
}
}
public Action<AcceleratorStream, Index1D, ulong, uint, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, int, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>> SmallPrimeFactorKernel
{
get
{
var accel = Accelerator;
return KernelContainer.InitOnce(ref _kernels!.SmallPrimeFactor, () =>
return KernelContainer.InitOnce(ref Kernels!.SmallPrimeFactor, () =>
{
var loaded = accel.LoadAutoGroupedStreamKernel<Index1D, ulong, uint, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, int, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>(SmallPrimeFactorKernels.SmallPrimeFactorKernelScan);
var kernel = KernelUtil.GetKernel(loaded);
@@ -143,10 +157,8 @@ public sealed class GpuKernelLease
_gpu?.Dispose();
_gpu = null;
_releaseLimiter?.Invoke();
_releaseLimiter = null;
_kernels = null;
Kernels?.Dispose();
GpuPrimeWorkLimiter.Release();
Pool.Enqueue(this);
}
+263 -244
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@@ -1,3 +1,4 @@
using PerfectNumbers.Core;
using System.Collections.Concurrent;
using ILGPU;
using ILGPU.Runtime;
@@ -7,297 +8,315 @@ namespace PerfectNumbers.Core.Gpu;
public readonly struct ResidueAutomatonArgs
{
public readonly ulong Q0M10;
public readonly ulong Step10;
public readonly ulong Q0M8;
public readonly ulong Step8;
public readonly ulong Q0M3;
public readonly ulong Step3;
public readonly ulong Q0M5;
public readonly ulong Step5;
public readonly ulong Q0M10;
public readonly ulong Step10;
public readonly ulong Q0M8;
public readonly ulong Step8;
public readonly ulong Q0M3;
public readonly ulong Step3;
public readonly ulong Q0M5;
public readonly ulong Step5;
public ResidueAutomatonArgs(ulong q0m10, ulong step10, ulong q0m8, ulong step8, ulong q0m3, ulong step3, ulong q0m5, ulong step5)
{
Q0M10 = q0m10; Step10 = step10; Q0M8 = q0m8; Step8 = step8; Q0M3 = q0m3; Step3 = step3; Q0M5 = q0m5; Step5 = step5;
}
public ResidueAutomatonArgs(ulong q0m10, ulong step10, ulong q0m8, ulong step8, ulong q0m3, ulong step3, ulong q0m5, ulong step5)
{
Q0M10 = q0m10; Step10 = step10; Q0M8 = q0m8; Step8 = step8; Q0M3 = q0m3; Step3 = step3; Q0M5 = q0m5; Step5 = step5;
}
}
public sealed class KernelContainer
{
// Serializes first-time initialization of kernels/buffers per accelerator.
public Action<AcceleratorStream, Index1D, ulong, ulong, ArrayView<GpuUInt128>, ArrayView<ulong>>? Order;
public Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong,
ulong, ulong, ulong, ulong, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>>? Incremental;
public 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>>? Pow2Mod;
public Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong,
ResidueAutomatonArgs, ArrayView<int>, ArrayView1D<ulong, Stride1D.Dense>>? IncrementalOrder;
public Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong,
ResidueAutomatonArgs, ArrayView<int>, ArrayView1D<ulong, Stride1D.Dense>>? Pow2ModOrder;
public Action<AcceleratorStream, Index1D, ulong, uint, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, int, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>? SmallPrimeFactor;
// Serializes first-time initialization of kernels/buffers per accelerator.
public Action<AcceleratorStream, Index1D, ulong, ulong, ArrayView<GpuUInt128>, ArrayView<ulong>>? Order;
public Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong,
ulong, ulong, ulong, ulong, ArrayView<ulong>, ArrayView1D<ulong, Stride1D.Dense>>? Incremental;
public 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>>? Pow2Mod;
public Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong,
ResidueAutomatonArgs, ArrayView<int>, ArrayView1D<ulong, Stride1D.Dense>>? IncrementalOrder;
public Action<AcceleratorStream, Index1D, ulong, GpuUInt128, GpuUInt128, byte, ulong,
ResidueAutomatonArgs, ArrayView<int>, ArrayView1D<ulong, Stride1D.Dense>>? Pow2ModOrder;
public Action<AcceleratorStream, Index1D, ulong, uint, ArrayView1D<uint, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>, int, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<int, Stride1D.Dense>, ArrayView1D<ulong, Stride1D.Dense>>? SmallPrimeFactor;
public Action<AcceleratorStream, Index1D, ulong, ArrayView1D<ulong, Stride1D.Dense>, int, MontgomeryDivisorData, ArrayView1D<ulong, Stride1D.Dense>, ArrayView1D<ushort, Stride1D.Dense>>? SpecialMax;
// Optional device buffer with small divisor cycles (<= 4M). Index = divisor, value = cycle length.
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallCycles;
public MemoryBuffer1D<uint, Stride1D.Dense>? SmallPrimeFactorsPrimes;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimeFactorsSquares;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimeFactorPrimeSlots;
public MemoryBuffer1D<int, Stride1D.Dense>? SmallPrimeFactorExponentSlots;
public MemoryBuffer1D<int, Stride1D.Dense>? SmallPrimeFactorCountSlot;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimeFactorRemainingSlot;
public MemoryBuffer1D<uint, Stride1D.Dense>? SmallPrimesLastOne;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimesPow2LastOne;
public MemoryBuffer1D<uint, Stride1D.Dense>? SmallPrimesLastSeven;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimesPow2LastSeven;
// Optional device buffer with small divisor cycles (<= 4M). Index = divisor, value = cycle length.
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallCycles;
public MemoryBuffer1D<uint, Stride1D.Dense>? SmallPrimeFactorsPrimes;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimeFactorsSquares;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimeFactorPrimeSlots;
public MemoryBuffer1D<int, Stride1D.Dense>? SmallPrimeFactorExponentSlots;
public MemoryBuffer1D<int, Stride1D.Dense>? SmallPrimeFactorCountSlot;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimeFactorRemainingSlot;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SpecialMaxFactors;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SpecialMaxCandidates;
public MemoryBuffer1D<ushort, Stride1D.Dense>? SpecialMaxResult;
public MemoryBuffer1D<uint, Stride1D.Dense>? SmallPrimesLastOne;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimesPow2LastOne;
public MemoryBuffer1D<uint, Stride1D.Dense>? SmallPrimesLastSeven;
public MemoryBuffer1D<ulong, Stride1D.Dense>? SmallPrimesPow2LastSeven;
public static T InitOnce<T>(ref T? slot, Func<T> factory) where T : class
{
var current = Volatile.Read(ref slot);
if (current is not null)
{
return current;
}
public static T InitOnce<T>(ref T? slot, Func<T> factory) where T : class
{
var current = Volatile.Read(ref slot);
if (current is not null)
{
return current;
}
current = Volatile.Read(ref slot);
if (current is null)
{
current = factory();
Volatile.Write(ref slot, current);
}
return current;
}
current = Volatile.Read(ref slot);
if (current is null)
{
current = factory();
Volatile.Write(ref slot, current);
}
return current;
}
public void Dispose() => GpuKernelPool.Return(this);
}
public readonly struct ResiduePrimeViews(
ArrayView1D<uint, Stride1D.Dense> lastOne,
ArrayView1D<uint, Stride1D.Dense> lastSeven,
ArrayView1D<ulong, Stride1D.Dense> lastOnePow2,
ArrayView1D<ulong, Stride1D.Dense> lastSevenPow2)
ArrayView1D<uint, Stride1D.Dense> lastOne,
ArrayView1D<uint, Stride1D.Dense> lastSeven,
ArrayView1D<ulong, Stride1D.Dense> lastOnePow2,
ArrayView1D<ulong, Stride1D.Dense> lastSevenPow2)
{
public readonly ArrayView1D<uint, Stride1D.Dense> LastOne = lastOne;
public readonly ArrayView1D<uint, Stride1D.Dense> LastSeven = lastSeven;
public readonly ArrayView1D<ulong, Stride1D.Dense> LastOnePow2 = lastOnePow2;
public readonly ArrayView1D<ulong, Stride1D.Dense> LastSevenPow2 = lastSevenPow2;
public readonly ArrayView1D<uint, Stride1D.Dense> LastOne = lastOne;
public readonly ArrayView1D<uint, Stride1D.Dense> LastSeven = lastSeven;
public readonly ArrayView1D<ulong, Stride1D.Dense> LastOnePow2 = lastOnePow2;
public readonly ArrayView1D<ulong, Stride1D.Dense> LastSevenPow2 = lastSevenPow2;
}
public readonly struct SmallPrimeFactorTables
public readonly struct SmallPrimeFactorTables(
MemoryBuffer1D<uint, Stride1D.Dense> primes,
MemoryBuffer1D<ulong, Stride1D.Dense> squares,
int count)
{
public readonly MemoryBuffer1D<uint, Stride1D.Dense> Primes;
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> Squares;
public readonly int Count;
public readonly MemoryBuffer1D<uint, Stride1D.Dense> Primes = primes;
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> Squares = squares;
public readonly int Count = count;
public SmallPrimeFactorTables(
MemoryBuffer1D<uint, Stride1D.Dense> primes,
MemoryBuffer1D<ulong, Stride1D.Dense> squares,
int count)
{
Primes = primes;
Squares = squares;
Count = count;
}
public ArrayView1D<uint, Stride1D.Dense> PrimesView => Primes.View;
public ArrayView1D<ulong, Stride1D.Dense> SquaresView => Squares.View;
public ArrayView1D<uint, Stride1D.Dense> PrimesView => Primes.View;
public ArrayView1D<ulong, Stride1D.Dense> SquaresView => Squares.View;
}
public readonly struct SmallPrimeFactorScratch
public readonly struct SmallPrimeFactorScratch(
MemoryBuffer1D<ulong, Stride1D.Dense> primeSlots,
MemoryBuffer1D<int, Stride1D.Dense> exponentSlots,
MemoryBuffer1D<int, Stride1D.Dense> countSlot,
MemoryBuffer1D<ulong, Stride1D.Dense> remainingSlot)
{
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> PrimeSlots;
public readonly MemoryBuffer1D<int, Stride1D.Dense> ExponentSlots;
public readonly MemoryBuffer1D<int, Stride1D.Dense> CountSlot;
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> RemainingSlot;
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> PrimeSlots = primeSlots;
public readonly MemoryBuffer1D<int, Stride1D.Dense> ExponentSlots = exponentSlots;
public readonly MemoryBuffer1D<int, Stride1D.Dense> CountSlot = countSlot;
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> RemainingSlot = remainingSlot;
public SmallPrimeFactorScratch(
MemoryBuffer1D<ulong, Stride1D.Dense> primeSlots,
MemoryBuffer1D<int, Stride1D.Dense> exponentSlots,
MemoryBuffer1D<int, Stride1D.Dense> countSlot,
MemoryBuffer1D<ulong, Stride1D.Dense> remainingSlot)
{
PrimeSlots = primeSlots;
ExponentSlots = exponentSlots;
CountSlot = countSlot;
RemainingSlot = remainingSlot;
}
public void Clear()
{
PrimeSlots.MemSetToZero();
ExponentSlots.MemSetToZero();
CountSlot.MemSetToZero();
RemainingSlot.MemSetToZero();
}
}
public void Clear()
{
PrimeSlots.MemSetToZero();
ExponentSlots.MemSetToZero();
CountSlot.MemSetToZero();
RemainingSlot.MemSetToZero();
}
public readonly struct SpecialMaxScratch(
MemoryBuffer1D<ulong, Stride1D.Dense> factorValues,
MemoryBuffer1D<ulong, Stride1D.Dense> candidateValues,
MemoryBuffer1D<ushort, Stride1D.Dense> resultSlot)
{
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> FactorValues = factorValues;
public readonly MemoryBuffer1D<ulong, Stride1D.Dense> CandidateValues = candidateValues;
public readonly MemoryBuffer1D<ushort, Stride1D.Dense> ResultSlot = resultSlot;
public ArrayView1D<ulong, Stride1D.Dense> FactorsView => FactorValues.View;
public ArrayView1D<ulong, Stride1D.Dense> CandidatesView => CandidateValues.View;
public ArrayView1D<ushort, Stride1D.Dense> ResultView => ResultSlot.View;
}
public class GpuKernelPool
{
private static readonly ConcurrentDictionary<Accelerator, KernelContainer> KernelCache = new(); // TODO: Replace this concurrent map with a simple accelerator-indexed lookup once kernel launchers are prewarmed during startup so we can drop the thread-safe wrapper entirely.
private static readonly ConcurrentQueue<KernelContainer> KernelCache = new(); // TODO: Replace this concurrent map with a simple accelerator-indexed lookup once kernel launchers are prewarmed during startup so we can drop the thread-safe wrapper entirely.
private static KernelContainer GetKernels(Accelerator accelerator)
{
return KernelCache.GetOrAdd(accelerator, _ => new KernelContainer());
}
public static KernelContainer GetKernels() => KernelCache.TryDequeue(out var container)
? container
: new KernelContainer();
// Ensures the small cycles table is uploaded to the device for the given accelerator.
// Returns the ArrayView to pass into kernels (when kernels are extended to accept it).
public static ArrayView1D<ulong, Stride1D.Dense> EnsureSmallCyclesOnDevice(Accelerator accelerator)
{
var kernels = GetKernels(accelerator);
if (kernels.SmallCycles is { } buffer)
{
return buffer.View;
}
public static void Return(KernelContainer container) => KernelCache.Enqueue(container);
// Ensure single upload per accelerator even if multiple threads race here.
lock (kernels) // TODO: Remove this lock by pre-uploading the immutable small-cycle snapshot during initialization; once no mutation happens at runtime, the pool must expose a simple reference without synchronization.
{
if (kernels.SmallCycles is { } existing)
{
return existing.View;
}
internal static void PreloadStaticTables(KernelContainer kernels, Accelerator accelerator)
{
EnsureSmallCyclesOnDevice(kernels, accelerator);
EnsureSmallPrimesOnDevice(kernels, accelerator);
EnsureSmallPrimeFactorTables(kernels, accelerator);
}
var host = MersenneDivisorCycles.Shared.ExportSmallCyclesSnapshot(); // TODO: Preload this device buffer during startup and keep it immutable so we can delete the lock above in favor of the preloaded snapshot.
var device = accelerator.Allocate1D<ulong>(host.Length);
device.View.CopyFromCPU(host);
kernels.SmallCycles = device;
return device.View;
}
}
// Ensures the small cycles table is uploaded to the device for the given accelerator.
// Returns the ArrayView to pass into kernels (when kernels are extended to accept it).
public static ArrayView1D<ulong, Stride1D.Dense> EnsureSmallCyclesOnDevice(KernelContainer kernels, Accelerator accelerator)
{
if (kernels.SmallCycles is { } buffer)
{
return buffer.View;
}
public static ResiduePrimeViews EnsureSmallPrimesOnDevice(Accelerator accelerator)
{
var kernels = GetKernels(accelerator);
if (kernels.SmallPrimesLastOne is { } lastOne &&
kernels.SmallPrimesLastSeven is { } lastSeven &&
kernels.SmallPrimesPow2LastOne is { } lastOnePow2 &&
kernels.SmallPrimesPow2LastSeven is { } lastSevenPow2)
{
return new ResiduePrimeViews(lastOne.View, lastSeven.View, lastOnePow2.View, lastSevenPow2.View);
}
var host = MersenneDivisorCycles.Shared.ExportSmallCyclesSnapshot(); // TODO: Preload this device buffer during startup and keep it immutable so we can delete the lock above in favor of the preloaded snapshot.
var device = accelerator.Allocate1D<ulong>(host.Length);
device.View.CopyFromCPU(host);
kernels.SmallCycles = device;
return device.View;
}
lock (kernels) // TODO: Inline these small-prime uploads into startup initialization alongside the small-cycle snapshot so we can drop runtime locking and keep the GPU pool free of synchronization.
{
if (kernels.SmallPrimesLastOne is { } existingLastOne &&
kernels.SmallPrimesLastSeven is { } existingLastSeven &&
kernels.SmallPrimesPow2LastOne is { } existingLastOnePow2 &&
kernels.SmallPrimesPow2LastSeven is { } existingLastSevenPow2)
{
return new ResiduePrimeViews(existingLastOne.View, existingLastSeven.View, existingLastOnePow2.View, existingLastSevenPow2.View);
}
public static ResiduePrimeViews EnsureSmallPrimesOnDevice(KernelContainer kernels, Accelerator accelerator)
{
if (kernels.SmallPrimesLastOne is { } lastOne &&
kernels.SmallPrimesLastSeven is { } lastSeven &&
kernels.SmallPrimesPow2LastOne is { } lastOnePow2 &&
kernels.SmallPrimesPow2LastSeven is { } lastSevenPow2)
{
return new ResiduePrimeViews(lastOne.View, lastSeven.View, lastOnePow2.View, lastSevenPow2.View);
}
var hostLastOne = PrimesGenerator.SmallPrimesLastOne;
var hostLastSeven = PrimesGenerator.SmallPrimesLastSeven;
var hostLastOnePow2 = PrimesGenerator.SmallPrimesPow2LastOne;
var hostLastSevenPow2 = PrimesGenerator.SmallPrimesPow2LastSeven;
if (kernels.SmallPrimesLastOne is { } existingLastOne &&
kernels.SmallPrimesLastSeven is { } existingLastSeven &&
kernels.SmallPrimesPow2LastOne is { } existingLastOnePow2 &&
kernels.SmallPrimesPow2LastSeven is { } existingLastSevenPow2)
{
return new ResiduePrimeViews(existingLastOne.View, existingLastSeven.View, existingLastOnePow2.View, existingLastSevenPow2.View);
}
var deviceLastOne = accelerator.Allocate1D<uint>(hostLastOne.Length);
deviceLastOne.View.CopyFromCPU(hostLastOne);
var deviceLastSeven = accelerator.Allocate1D<uint>(hostLastSeven.Length);
deviceLastSeven.View.CopyFromCPU(hostLastSeven);
var deviceLastOnePow2 = accelerator.Allocate1D<ulong>(hostLastOnePow2.Length);
deviceLastOnePow2.View.CopyFromCPU(hostLastOnePow2);
var deviceLastSevenPow2 = accelerator.Allocate1D<ulong>(hostLastSevenPow2.Length);
deviceLastSevenPow2.View.CopyFromCPU(hostLastSevenPow2);
var hostLastOne = PrimesGenerator.SmallPrimesLastOne;
var hostLastSeven = PrimesGenerator.SmallPrimesLastSeven;
var hostLastOnePow2 = PrimesGenerator.SmallPrimesPow2LastOne;
var hostLastSevenPow2 = PrimesGenerator.SmallPrimesPow2LastSeven;
kernels.SmallPrimesLastOne = deviceLastOne;
kernels.SmallPrimesLastSeven = deviceLastSeven;
kernels.SmallPrimesPow2LastOne = deviceLastOnePow2;
kernels.SmallPrimesPow2LastSeven = deviceLastSevenPow2;
var deviceLastOne = accelerator.Allocate1D<uint>(hostLastOne.Length);
deviceLastOne.View.CopyFromCPU(hostLastOne);
var deviceLastSeven = accelerator.Allocate1D<uint>(hostLastSeven.Length);
deviceLastSeven.View.CopyFromCPU(hostLastSeven);
var deviceLastOnePow2 = accelerator.Allocate1D<ulong>(hostLastOnePow2.Length);
deviceLastOnePow2.View.CopyFromCPU(hostLastOnePow2);
var deviceLastSevenPow2 = accelerator.Allocate1D<ulong>(hostLastSevenPow2.Length);
deviceLastSevenPow2.View.CopyFromCPU(hostLastSevenPow2);
return new ResiduePrimeViews(deviceLastOne.View, deviceLastSeven.View, deviceLastOnePow2.View, deviceLastSevenPow2.View);
}
}
kernels.SmallPrimesLastOne = deviceLastOne;
kernels.SmallPrimesLastSeven = deviceLastSeven;
kernels.SmallPrimesPow2LastOne = deviceLastOnePow2;
kernels.SmallPrimesPow2LastSeven = deviceLastSevenPow2;
public static SmallPrimeFactorTables EnsureSmallPrimeFactorTables(Accelerator accelerator)
{
var kernels = GetKernels(accelerator);
if (kernels.SmallPrimeFactorsPrimes is { } primeBuffer && kernels.SmallPrimeFactorsSquares is { } squareBuffer)
{
return new SmallPrimeFactorTables(primeBuffer, squareBuffer, (int)primeBuffer.Length);
}
return new ResiduePrimeViews(deviceLastOne.View, deviceLastSeven.View, deviceLastOnePow2.View, deviceLastSevenPow2.View);
}
lock (kernels)
{
if (kernels.SmallPrimeFactorsPrimes is { } existingPrimes && kernels.SmallPrimeFactorsSquares is { } existingSquares)
{
return new SmallPrimeFactorTables(existingPrimes, existingSquares, (int)existingPrimes.Length);
}
public static SmallPrimeFactorTables EnsureSmallPrimeFactorTables(KernelContainer kernels, Accelerator accelerator)
{
if (kernels.SmallPrimeFactorsPrimes is { } primeBuffer && kernels.SmallPrimeFactorsSquares is { } squareBuffer)
{
return new SmallPrimeFactorTables(primeBuffer, squareBuffer, (int)primeBuffer.Length);
}
var hostPrimes = PrimesGenerator.SmallPrimes;
var hostSquares = PrimesGenerator.SmallPrimesPow2;
if (kernels.SmallPrimeFactorsPrimes is { } existingPrimes && kernels.SmallPrimeFactorsSquares is { } existingSquares)
{
return new SmallPrimeFactorTables(existingPrimes, existingSquares, (int)existingPrimes.Length);
}
var devicePrimes = accelerator.Allocate1D<uint>(hostPrimes.Length);
devicePrimes.View.CopyFromCPU(hostPrimes);
var deviceSquares = accelerator.Allocate1D<ulong>(hostSquares.Length);
deviceSquares.View.CopyFromCPU(hostSquares);
var hostPrimes = PrimesGenerator.SmallPrimes;
var hostSquares = PrimesGenerator.SmallPrimesPow2;
kernels.SmallPrimeFactorsPrimes = devicePrimes;
kernels.SmallPrimeFactorsSquares = deviceSquares;
var devicePrimes = accelerator.Allocate1D<uint>(hostPrimes.Length);
devicePrimes.View.CopyFromCPU(hostPrimes);
var deviceSquares = accelerator.Allocate1D<ulong>(hostSquares.Length);
deviceSquares.View.CopyFromCPU(hostSquares);
return new SmallPrimeFactorTables(devicePrimes, deviceSquares, hostPrimes.Length);
}
}
kernels.SmallPrimeFactorsPrimes = devicePrimes;
kernels.SmallPrimeFactorsSquares = deviceSquares;
public static SmallPrimeFactorScratch EnsureSmallPrimeFactorScratch(Accelerator accelerator, int slotCount)
{
var kernels = GetKernels(accelerator);
lock (kernels)
{
MemoryBuffer1D<ulong, Stride1D.Dense>? primeSlots = kernels.SmallPrimeFactorPrimeSlots;
if (primeSlots is null || primeSlots.Length < slotCount)
{
primeSlots?.Dispose();
primeSlots = accelerator.Allocate1D<ulong>(slotCount);
kernels.SmallPrimeFactorPrimeSlots = primeSlots;
}
return new SmallPrimeFactorTables(devicePrimes, deviceSquares, hostPrimes.Length);
}
MemoryBuffer1D<int, Stride1D.Dense>? exponentSlots = kernels.SmallPrimeFactorExponentSlots;
if (exponentSlots is null || exponentSlots.Length < slotCount)
{
exponentSlots?.Dispose();
exponentSlots = accelerator.Allocate1D<int>(slotCount);
kernels.SmallPrimeFactorExponentSlots = exponentSlots;
}
public static SmallPrimeFactorScratch EnsureSmallPrimeFactorScratch(KernelContainer kernels, Accelerator accelerator, int slotCount)
{
MemoryBuffer1D<ulong, Stride1D.Dense>? primeSlots = kernels.SmallPrimeFactorPrimeSlots;
if (primeSlots is null || primeSlots.Length < slotCount)
{
primeSlots?.Dispose();
primeSlots = accelerator.Allocate1D<ulong>(slotCount);
kernels.SmallPrimeFactorPrimeSlots = primeSlots;
}
MemoryBuffer1D<int, Stride1D.Dense>? countSlot = kernels.SmallPrimeFactorCountSlot;
if (countSlot is null)
{
countSlot = accelerator.Allocate1D<int>(1);
kernels.SmallPrimeFactorCountSlot = countSlot;
}
MemoryBuffer1D<int, Stride1D.Dense>? exponentSlots = kernels.SmallPrimeFactorExponentSlots;
if (exponentSlots is null || exponentSlots.Length < slotCount)
{
exponentSlots?.Dispose();
exponentSlots = accelerator.Allocate1D<int>(slotCount);
kernels.SmallPrimeFactorExponentSlots = exponentSlots;
}
MemoryBuffer1D<ulong, Stride1D.Dense>? remainingSlot = kernels.SmallPrimeFactorRemainingSlot;
if (remainingSlot is null)
{
remainingSlot = accelerator.Allocate1D<ulong>(1);
kernels.SmallPrimeFactorRemainingSlot = remainingSlot;
}
MemoryBuffer1D<int, Stride1D.Dense>? countSlot = kernels.SmallPrimeFactorCountSlot;
if (countSlot is null)
{
countSlot = accelerator.Allocate1D<int>(1);
kernels.SmallPrimeFactorCountSlot = countSlot;
}
return new SmallPrimeFactorScratch(primeSlots!, exponentSlots!, countSlot!, remainingSlot!);
}
}
MemoryBuffer1D<ulong, Stride1D.Dense>? remainingSlot = kernels.SmallPrimeFactorRemainingSlot;
if (remainingSlot is null)
{
remainingSlot = accelerator.Allocate1D<ulong>(1);
kernels.SmallPrimeFactorRemainingSlot = remainingSlot;
}
public static GpuKernelLease GetKernel(bool useGpuOrder)
{
var limiter = GpuPrimeWorkLimiter.Acquire();
var gpu = Rent();
var accelerator = gpu.Accelerator;
var kernels = GetKernels(accelerator);
return GpuKernelLease.Rent(limiter, gpu, kernels);
}
return new SmallPrimeFactorScratch(primeSlots!, exponentSlots!, countSlot!, remainingSlot!);
}
/// <summary>
/// Runs a GPU action with an acquired accelerator and stream.
/// </summary>
/// <param name="action">Action to run with (Accelerator, Stream).</param>
public static void Run(Action<Accelerator, AcceleratorStream> action)
{
var lease = GetKernel(useGpuOrder: true);
var accelerator = lease.Accelerator;
var stream = accelerator.CreateStream();
action(accelerator, stream);
stream.Dispose();
lease.Dispose();
public static SpecialMaxScratch EnsureSpecialMaxScratch(KernelContainer kernels, Accelerator accelerator, int factorCapacity)
{
MemoryBuffer1D<ulong, Stride1D.Dense>? factorValues = kernels.SpecialMaxFactors;
if (factorValues is null || factorValues.Length < factorCapacity)
{
factorValues?.Dispose();
factorValues = accelerator.Allocate1D<ulong>(factorCapacity);
kernels.SpecialMaxFactors = factorValues;
}
}
MemoryBuffer1D<ulong, Stride1D.Dense>? candidateValues = kernels.SpecialMaxCandidates;
if (candidateValues is null || candidateValues.Length < factorCapacity)
{
candidateValues?.Dispose();
candidateValues = accelerator.Allocate1D<ulong>(factorCapacity);
kernels.SpecialMaxCandidates = candidateValues;
}
MemoryBuffer1D<ushort, Stride1D.Dense>? resultSlot = kernels.SpecialMaxResult;
if (resultSlot is null)
{
resultSlot = accelerator.Allocate1D<ushort>(1);
kernels.SpecialMaxResult = resultSlot;
}
return new SpecialMaxScratch(factorValues!, candidateValues!, resultSlot!);
}
public static GpuKernelLease GetKernel(bool useGpuOrder)
{
GpuPrimeWorkLimiter.Acquire();
var gpu = Rent();
var kernels = GetKernels();
return GpuKernelLease.Rent(gpu, kernels);
}
/// <summary>
/// Runs a GPU action with an acquired accelerator and stream.
/// </summary>
/// <param name="action">Action to run with (Accelerator, Stream).</param>
public static void Run(Action<Accelerator, AcceleratorStream> action)
{
var lease = GetKernel(useGpuOrder: true);
var accelerator = lease.Accelerator;
var stream = accelerator.CreateStream();
action(accelerator, stream);
stream.Dispose();
lease.Dispose();
}
}
+3 -24
View File
@@ -8,16 +8,10 @@ public static class GpuPrimeWorkLimiter
private static SemaphoreSlim _semaphore = new(1, int.MaxValue);
private static int _currentLimit = 1;
public static Lease Acquire()
{
// TODO: Inline the pooled limiter guard from the GpuLimiterThroughputBenchmarks so prime-sieve
// GPU jobs stop allocating Lease instances on every acquisition.
var sem = _semaphore;
sem.Wait();
return new Lease(sem);
}
public static void Acquire() => _semaphore.Wait();
public static void Release() => _semaphore.Release();
public static void SetLimit(int value)
public static void SetLimit(int value)
{
if (value <= 0)
{
@@ -36,19 +30,4 @@ public static class GpuPrimeWorkLimiter
_currentLimit = value;
previous.Dispose();
}
public sealed class Lease : IDisposable
{
private readonly SemaphoreSlim _sem;
internal Lease(SemaphoreSlim sem)
{
_sem = sem;
}
public void Dispose()
{
_sem.Release();
}
}
}
@@ -0,0 +1,39 @@
using System.Collections.Concurrent;
using System.Collections.Generic;
using System.Runtime.CompilerServices;
using ILGPU;
using ILGPU.Runtime;
using PerfectNumbers.Core;
namespace PerfectNumbers.Core.Gpu;
internal static class GpuStaticTableInitializer
{
private static readonly ConcurrentDictionary<Accelerator, byte> Initialized = new(AcceleratorReferenceComparer.Instance);
internal static void EnsureStaticTables(KernelContainer kernels, Accelerator accelerator)
{
Initialized.GetOrAdd(accelerator, acc =>
{
PrimeTester.PrimeTesterGpuContextPool.EnsureStaticTables(kernels, acc);
GpuKernelPool.PreloadStaticTables(kernels, acc);
PrimeOrderGpuHeuristics.PreloadStaticTables( acc);
return 0;
});
}
private sealed class AcceleratorReferenceComparer : IEqualityComparer<Accelerator>
{
internal static AcceleratorReferenceComparer Instance { get; } = new();
public bool Equals(Accelerator? x, Accelerator? y)
{
return ReferenceEquals(x, y);
}
public int GetHashCode(Accelerator obj)
{
return RuntimeHelpers.GetHashCode(obj);
}
}
}
@@ -0,0 +1,80 @@
using ILGPU;
using ILGPU.Runtime;
using PerfectNumbers.Core;
namespace PerfectNumbers.Core.Gpu;
internal static partial class PrimeOrderGpuHeuristics
{
internal static void EvaluateSpecialMaxCandidatesKernel(
Index1D index,
ulong phi,
ArrayView1D<ulong, Stride1D.Dense> factors,
int factorCount,
MontgomeryDivisorData divisor,
ArrayView1D<ulong, Stride1D.Dense> candidates,
ArrayView1D<ushort, Stride1D.Dense> resultOut)
{
if (index != 0)
{
return;
}
int actual = 0;
for (int i = 0; i < factorCount; i++)
{
ulong factor = factors[i];
if (factor <= 1UL)
{
continue;
}
ulong reduced = phi / factor;
if (reduced == 0UL)
{
continue;
}
candidates[actual] = reduced;
actual++;
}
if (actual == 0)
{
resultOut[0] = 1;
return;
}
for (int i = 1; i < actual; i++)
{
ulong current = candidates[i];
int insert = i - 1;
while (insert >= 0 && candidates[insert] > current)
{
candidates[insert + 1] = candidates[insert];
insert--;
}
candidates[insert + 1] = current;
}
var divisorPartial = new GpuDivisorPartialData(divisor.Modulus);
var stepper = new ExponentRemainderStepperGpu(divisorPartial);
if (stepper.InitializeIsUnityGpu(candidates[0]))
{
resultOut[0] = 0;
return;
}
for (int i = 1; i < actual; i++)
{
if (stepper.ComputeNextIsUnityGpu(candidates[i]))
{
resultOut[0] = 0;
return;
}
}
resultOut[0] = 1;
}
}
@@ -31,11 +31,11 @@ public class MersenneNumberIncrementalGpuTester(GpuKernelType kernelType, bool u
ulong step3 = ((exponent % 3UL) << 1) % 3UL;
ulong step5 = ((exponent % 5UL) << 1) % 5UL;
GpuUInt128 twoPGpu = (GpuUInt128)twoP;
var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(accelerator);
var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(gpuLease.Kernels, accelerator);
ResiduePrimeViews primeViews = default;
if (_kernelType == GpuKernelType.Pow2Mod)
{
primeViews = GpuKernelPool.EnsureSmallPrimesOnDevice(accelerator);
primeViews = GpuKernelPool.EnsureSmallPrimesOnDevice(gpuLease.Kernels, accelerator);
}
var orderBuffer = accelerator.Allocate1D<ulong>(batchSize);
@@ -121,7 +121,7 @@ public class MersenneNumberIncrementalGpuTester(GpuKernelType kernelType, bool u
}
ArrayPool<ulong>.Shared.Return(orderArray);
orderBuffer.Dispose();
orderBuffer.Dispose();
gpuLease.Dispose();
}
}
@@ -54,13 +54,13 @@ public class MersenneNumberLucasLehmerGpuTester
return false;
}
var limiter = GpuPrimeWorkLimiter.Acquire();
GpuPrimeWorkLimiter.Acquire();
bool result;
if (exponent >= 128UL)
{
if (!TryGetNttParameters(exponent, out var nttMod, out var primitiveRoot))
{
limiter.Dispose();
GpuPrimeWorkLimiter.Release();
throw new NotSupportedException("NTT parameters for the given exponent are not available.");
}
@@ -80,7 +80,7 @@ public class MersenneNumberLucasLehmerGpuTester
gpu.Dispose();
}
limiter.Dispose();
GpuPrimeWorkLimiter.Release();
return result;
}
@@ -4,62 +4,63 @@ namespace PerfectNumbers.Core.Gpu;
public class MersenneNumberOrderGpuTester(GpuKernelType kernelType, bool useGpuOrder)
{
private readonly GpuKernelType _kernelType = kernelType;
private readonly bool _useGpuOrder = useGpuOrder;
private readonly GpuKernelType _kernelType = kernelType;
private readonly bool _useGpuOrder = useGpuOrder;
public void Scan(ulong exponent, UInt128 twoP, LastDigit lastDigit, UInt128 maxK, ref bool isPrime)
{
var gpuLease = GpuKernelPool.GetKernel(_useGpuOrder);
var accelerator = gpuLease.Accelerator;
var stream = gpuLease.Stream;
int batchSize = GpuConstants.ScanBatchSize; // large batch improves GPU occupancy and avoids TDR
UInt128 kStart = UInt128.One;
ulong divMul = (ulong)((((UInt128)1 << 64) - UInt128.One) / exponent) + 1UL;
byte last = lastDigit == LastDigit.Seven ? (byte)1 : (byte)0; // ILGPU kernels do not support bool parameters
public void Scan(ulong exponent, UInt128 twoP, LastDigit lastDigit, UInt128 maxK, ref bool isPrime)
{
var gpuLease = GpuKernelPool.GetKernel(_useGpuOrder);
var accelerator = gpuLease.Accelerator;
var stream = gpuLease.Stream;
int batchSize = GpuConstants.ScanBatchSize; // large batch improves GPU occupancy and avoids TDR
UInt128 kStart = UInt128.One;
ulong divMul = (ulong)((((UInt128)1 << 64) - UInt128.One) / exponent) + 1UL;
byte last = lastDigit == LastDigit.Seven ? (byte)1 : (byte)0; // ILGPU kernels do not support bool parameters
var kernel = _kernelType switch
{
GpuKernelType.Pow2Mod => gpuLease.Pow2ModOrderKernel,
_ => gpuLease.IncrementalOrderKernel,
};
var kernel = _kernelType switch
{
GpuKernelType.Pow2Mod => gpuLease.Pow2ModOrderKernel,
_ => gpuLease.IncrementalOrderKernel,
};
var foundBuffer = accelerator.Allocate1D<int>(1); // TODO: Replace this allocation with the pooled device buffer from GpuOrderKernelBenchmarks so repeated scans reuse the pinned staging memory instead of allocating per run.
exponent.Mod10_8_5_3Steps(out ulong step10, out ulong step8, out ulong step5, out ulong step3);
var foundBuffer = accelerator.Allocate1D<int>(1); // TODO: Replace this allocation with the pooled device buffer from GpuOrderKernelBenchmarks so repeated scans reuse the pinned staging memory instead of allocating per run.
exponent.Mod10_8_5_3Steps(out ulong step10, out ulong step8, out ulong step5, out ulong step3);
UInt128 remaining;
int currentSize;
int found = 0;
while (kStart <= maxK && Volatile.Read(ref isPrime))
{
remaining = maxK - kStart + 1UL;
currentSize = remaining > (UInt128)batchSize ? batchSize : (int)remaining;
// This clear is required because the result may not always be set. Remove it after the kernels are modified to always set the result.
foundBuffer.MemSetToZero();
// Precompute residue automaton bases for this batch
UInt128 q0 = twoP * kStart + 1UL;
// TODO: Replace these modulo recomputations with the divisor-cycle stepping deltas captured in
// MersenneDivisorCycleLengthGpuBenchmarks so each batch advances via cached residues from the
// single snapshot block instead of recalculating mod 10/8/5/3 in every iteration.
q0.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);
UInt128 remaining;
int currentSize;
int found = 0;
// Ensure device has small cycles table for early rejections in order kernels
var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(accelerator);
kernel(stream, currentSize, exponent, (GpuUInt128)twoP, (GpuUInt128)kStart, last, divMul,
kernelArgs, foundBuffer.View, smallCyclesView);
var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(gpuLease.Kernels, accelerator);
while (kStart <= maxK && Volatile.Read(ref isPrime))
{
remaining = maxK - kStart + 1UL;
currentSize = remaining > (UInt128)batchSize ? batchSize : (int)remaining;
// This clear is required because the result may not always be set. Remove it after the kernels are modified to always set the result.
foundBuffer.MemSetToZero();
// Precompute residue automaton bases for this batch
UInt128 q0 = twoP * kStart + 1UL;
// TODO: Replace these modulo recomputations with the divisor-cycle stepping deltas captured in
// MersenneDivisorCycleLengthGpuBenchmarks so each batch advances via cached residues from the
// single snapshot block instead of recalculating mod 10/8/5/3 in every iteration.
q0.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);
stream.Synchronize();
foundBuffer.View.CopyToCPU(ref found, 1);
if (found != 0)
{
Volatile.Write(ref isPrime, false);
break;
}
// Ensure device has small cycles table for early rejections in order kernels
kernel(stream, currentSize, exponent, (GpuUInt128)twoP, (GpuUInt128)kStart, last, divMul,
kernelArgs, foundBuffer.View, smallCyclesView);
kStart += (UInt128)currentSize;
}
stream.Synchronize();
foundBuffer.View.CopyToCPU(ref found, 1);
if (found != 0)
{
Volatile.Write(ref isPrime, false);
break;
}
foundBuffer.Dispose();
gpuLease.Dispose();
}
kStart += (UInt128)currentSize;
}
foundBuffer.Dispose();
gpuLease.Dispose();
}
}
@@ -26,7 +26,7 @@ public class MersenneNumberResidueGpuTester(bool useGpuOrder)
// 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();
GpuPrimeWorkLimiter.Acquire();
var gpuLease = RentAccelerator();
var accelerator = gpuLease.Accelerator;
@@ -34,15 +34,16 @@ public class MersenneNumberResidueGpuTester(bool useGpuOrder)
var stream = accelerator.CreateStream();
var kernel = GetPow2ModKernel(accelerator);
var resources = RentResources(accelerator, GpuConstants.ScanBatchSize);
var resources = RentResources(accelerator, GpuConstants.ScanBatchSize);
var gpuKernels = GpuKernelPool.GetKernels();
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);
var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(gpuKernels, accelerator);
ResiduePrimeViews primeViews = GpuKernelPool.EnsureSmallPrimesOnDevice(gpuKernels, accelerator);
UInt128 kStart = 1UL;
UInt128 limit = maxK + UInt128.One;
@@ -108,9 +109,10 @@ public class MersenneNumberResidueGpuTester(bool useGpuOrder)
ReturnResources(accelerator, resources);
stream.Dispose();
// Monitor.Exit(gpuLease.ExecutionLock);
ReturnAccelerator(gpuLease);
limiter.Dispose();
// Monitor.Exit(gpuLease.ExecutionLock);
gpuKernels.Dispose();
ReturnAccelerator(gpuLease);
GpuPrimeWorkLimiter.Release();
}
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) =>
@@ -18,6 +18,11 @@ internal enum GpuPow2ModStatus
internal static partial class PrimeOrderGpuHeuristics
{
internal static void PreloadStaticTables(Accelerator accelerator)
{
_ = GetSmallPrimeDeviceCache(accelerator);
}
private static readonly ConcurrentDictionary<ulong, byte> OverflowedPrimes = new();
private static readonly ConcurrentDictionary<UInt128, byte> OverflowedPrimesWide = new();
private static readonly ConcurrentDictionary<Accelerator, Action<AcceleratorStream, Index1D, ArrayView1D<ulong, Stride1D.Dense>, MontgomeryDivisorData, ArrayView1D<ulong, Stride1D.Dense>>> Pow2ModKernelCache = new();
@@ -0,0 +1,19 @@
using System;
using System.Threading;
using ILGPU;
using ILGPU.Runtime;
namespace PerfectNumbers.Core.Gpu;
internal static class SharedGpuContext
{
private static readonly Lazy<Context> s_context = new(() => ILGPU.Context.CreateDefault(), LazyThreadSafetyMode.ExecutionAndPublication);
private static readonly Lazy<Device> s_device = new(() => s_context.Value.GetPreferredDevice(false), LazyThreadSafetyMode.ExecutionAndPublication);
private static readonly Lazy<Accelerator> s_accelerator = new(() => s_device.Value.CreateAccelerator(s_context.Value), LazyThreadSafetyMode.ExecutionAndPublication);
internal static Context Context => s_context.Value;
internal static Device Device => s_device.Value;
internal static Accelerator Accelerator => s_accelerator.Value;
}