Reduce host hit detection overhead
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@@ -236,6 +236,25 @@ internal static class DivisorByDivisorKernels
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Atomic.Max(ref compactedCount[0], storedCount);
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}
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public static void PublishFirstHitKernel(
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Index1D index,
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ArrayView<byte> hits,
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ArrayView<int> firstHit)
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{
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int globalIndex = index;
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// EvenPerfectBitScanner launches this auto-grouped kernel with an extent matching the hit view length,
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// so the defensive guard stays commented out to keep the hot path branch-free.
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// int length = (int)hits.Length;
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// if (globalIndex >= length)
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// {
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// return;
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// }
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byte hitValue = hits[globalIndex];
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int candidate = hitValue != 0 ? globalIndex : int.MaxValue;
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Atomic.Min(ref firstHit[0], candidate);
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}
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public static void ComputeMontgomeryExponentKernel(Index1D index, MontgomeryDivisorData divisor, ArrayView<ulong> exponents, ArrayView<ulong> results)
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{
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ulong modulus = divisor.Modulus;
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@@ -29,6 +29,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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private readonly ConcurrentDictionary<Accelerator, Action<KernelConfig, Index1D, ArrayView<byte>, ArrayView<byte>, byte, byte>> _remainderScanKernelCache = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, byte, ArrayView<byte>>> _candidateMaskKernelCache = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentDictionary<Accelerator, Action<KernelConfig, Index1D, ArrayView<byte>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<int>>> _candidateCompactionKernelCache = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ArrayView<byte>, ArrayView<int>>> _hitDetectionKernelCache = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ArrayView<ulong>, ArrayView<ulong>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128>> _candidateGenerationKernelCache = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentDictionary<Accelerator, ConcurrentBag<BatchResources>> _resourcePools = new(AcceleratorReferenceComparer.Instance);
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private readonly ConcurrentBag<GpuContextPool.GpuContextLease> _acceleratorPool = new();
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@@ -58,6 +59,11 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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accelerator,
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acc => acc.LoadStreamKernel<Index1D, ArrayView<byte>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<int>>(DivisorByDivisorKernels.CompactCandidateMaskKernel));
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private Action<Index1D, ArrayView<byte>, ArrayView<int>> GetHitDetectionKernel(Accelerator accelerator) =>
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_hitDetectionKernelCache.GetOrAdd(
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accelerator,
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acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<byte>, ArrayView<int>>(DivisorByDivisorKernels.PublishFirstHitKernel));
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private Action<Index1D, ArrayView<ulong>, ArrayView<ulong>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128> GetCandidateGenerationKernel(Accelerator accelerator) =>
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_candidateGenerationKernelCache.GetOrAdd(
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accelerator,
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@@ -137,6 +143,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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resources.DivisorsBuffer,
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resources.ExponentBuffer,
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resources.HitsBuffer,
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resources.HitIndexBuffer,
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resources.CandidateBuffer,
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resources.NextStartBuffer,
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resources.DivisorDeltaBuffer,
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@@ -148,9 +155,9 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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resources.CandidateMaskKernel,
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resources.CandidateCompactionKernel,
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resources.CandidateGenerationKernel,
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resources.HitDetectionKernel,
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resources.Divisors,
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resources.Exponents,
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resources.Hits,
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resources.DivisorData,
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resources.CycleCandidates,
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resources.CycleLengths,
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@@ -210,6 +217,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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MemoryBuffer1D<MontgomeryDivisorData, Stride1D.Dense> divisorsBuffer,
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MemoryBuffer1D<ulong, Stride1D.Dense> exponentBuffer,
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MemoryBuffer1D<byte, Stride1D.Dense> hitsBuffer,
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MemoryBuffer1D<int, Stride1D.Dense> hitIndexBuffer,
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MemoryBuffer1D<ulong, Stride1D.Dense> candidateBuffer,
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MemoryBuffer1D<GpuUInt128, Stride1D.Dense> nextStartBuffer,
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MemoryBuffer1D<ulong, Stride1D.Dense> divisorDeltaBuffer,
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@@ -221,9 +229,9 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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Action<Index1D, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, byte, ArrayView<byte>> candidateMaskKernel,
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Action<KernelConfig, Index1D, ArrayView<byte>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<int>> candidateCompactionKernel,
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Action<Index1D, ArrayView<ulong>, ArrayView<ulong>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128> candidateGenerationKernel,
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Action<Index1D, ArrayView<byte>, ArrayView<int>> hitDetectionKernel,
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in ulong[] divisors,
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ulong[] exponents,
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byte[] hits,
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MontgomeryDivisorData[] divisorData,
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ulong[] cycleCandidates,
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ulong[] cycleLengths,
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@@ -282,7 +290,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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ulong[] filteredDivisors = ulongPool.Rent(chunkCapacity);
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var viewCache = new BufferSliceCache(divisorDeltaBuffer, remainderDeltaBuffer, remainderBuffer, hitsBuffer, remainderStride);
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Span<ulong> candidateStorage = cycleCandidates.AsSpan();
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Span<byte> hitStorage = hits.AsSpan();
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Span<ulong> filteredStorage = filteredDivisors.AsSpan();
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Span<ulong> cycleLengthStorage = cycleLengths.AsSpan();
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Span<MontgomeryDivisorData> divisorDataStorage = divisorData.AsSpan();
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@@ -399,10 +406,10 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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Span<MontgomeryDivisorData> divisorDataSpan = divisorDataStorage[..admissibleCount];
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Span<ulong> divisorSpan = divisorStorage[..admissibleCount];
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Span<ulong> exponentSpan = exponentStorage[..admissibleCount];
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Span<byte> hitsSpan = hitStorage[..admissibleCount];
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ArrayView1D<MontgomeryDivisorData, Stride1D.Dense> divisorView = divisorsBuffer.View.SubView(0, admissibleCount);
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ArrayView1D<ulong, Stride1D.Dense> exponentView = exponentBuffer.View.SubView(0, admissibleCount);
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ArrayView1D<byte, Stride1D.Dense> hitsView = hitsBuffer.View.SubView(0, admissibleCount);
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ArrayView1D<int, Stride1D.Dense> hitIndexView = hitIndexBuffer.View.SubView(0, 1);
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for (int i = 0; i < admissibleCount; i++)
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{
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@@ -415,9 +422,8 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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divisorView.CopyFromCPU(ref MemoryMarshal.GetReference(divisorDataSpan), admissibleCount);
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exponentView.CopyFromCPU(ref MemoryMarshal.GetReference(exponentSpan), admissibleCount);
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kernel(admissibleCount, divisorView, exponentView, hitsView);
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hitsView.CopyToCPU(ref MemoryMarshal.GetReference(hitsSpan), admissibleCount);
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int hitIndex = System.MemoryExtensions.IndexOf(hitsSpan, (byte)1);
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int hitIndex = FindFirstHitOnGpu(admissibleCount, hitsView, hitIndexView, hitDetectionKernel);
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bool hitFound = hitIndex >= 0;
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composite = hitFound;
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int lastIndex = admissibleCount - 1;
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@@ -601,6 +607,30 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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return filteredCount;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private static int FindFirstHitOnGpu(
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int count,
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ArrayView1D<byte, Stride1D.Dense> hitsView,
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ArrayView1D<int, Stride1D.Dense> hitIndexView,
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Action<Index1D, ArrayView<byte>, ArrayView<int>> hitKernel)
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{
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// EvenPerfectBitScanner only calls this helper with positive counts,
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// so the guard stays commented out to keep the hot path branch-free.
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// if (count <= 0)
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// {
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// return -1;
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// }
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int sentinel = int.MaxValue;
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hitIndexView.SubView(0, 1).CopyFromCPU(ref sentinel, 1);
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hitKernel(count, hitsView, hitIndexView);
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int firstHit = sentinel;
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hitIndexView.SubView(0, 1).CopyToCPU(ref firstHit, 1);
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return firstHit >= count ? -1 : firstHit;
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}
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private static byte FetchLastRemainder(ArrayView1D<byte, Stride1D.Dense> remainderView, int count)
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{
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// Callers guard against zero counts before invoking this helper to keep the hot path branch-free.
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@@ -811,6 +841,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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DivisorsBuffer = accelerator.Allocate1D<MontgomeryDivisorData>(actualCapacity);
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ExponentBuffer = accelerator.Allocate1D<ulong>(actualCapacity);
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HitsBuffer = accelerator.Allocate1D<byte>(actualCapacity);
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HitIndexBuffer = accelerator.Allocate1D<int>(1);
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CandidateBuffer = accelerator.Allocate1D<ulong>(actualCapacity);
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NextStartBuffer = accelerator.Allocate1D<GpuUInt128>(1);
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DivisorDeltaBuffer = accelerator.Allocate1D<ulong>(actualCapacity);
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@@ -820,7 +851,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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ArrayPool<ulong> ulongPool = ThreadStaticPools.UlongPool;
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Divisors = ulongPool.Rent(actualCapacity);
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Exponents = ulongPool.Rent(actualCapacity);
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Hits = ThreadStaticPools.BytePool.Rent(actualCapacity);
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DivisorData = ThreadStaticPools.MontgomeryDivisorDataPool.Rent(actualCapacity);
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CycleCandidates = ulongPool.Rent(cycleCapacity);
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CycleLengths = ulongPool.Rent(cycleCapacity);
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@@ -829,6 +859,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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CandidateMaskKernel = owner.GetCandidateMaskKernel(accelerator);
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CandidateCompactionKernel = owner.GetCandidateCompactionKernel(accelerator);
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CandidateGenerationKernel = owner.GetCandidateGenerationKernel(accelerator);
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HitDetectionKernel = owner.GetHitDetectionKernel(accelerator);
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Capacity = actualCapacity;
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CycleCapacity = cycleCapacity;
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}
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@@ -839,6 +870,8 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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internal readonly MemoryBuffer1D<byte, Stride1D.Dense> HitsBuffer;
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internal readonly MemoryBuffer1D<int, Stride1D.Dense> HitIndexBuffer;
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internal readonly MemoryBuffer1D<ulong, Stride1D.Dense> CandidateBuffer;
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internal readonly MemoryBuffer1D<GpuUInt128, Stride1D.Dense> NextStartBuffer;
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@@ -854,8 +887,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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internal readonly ulong[] Exponents;
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internal readonly byte[] Hits;
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internal readonly MontgomeryDivisorData[] DivisorData;
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internal readonly ulong[] CycleCandidates;
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@@ -868,6 +899,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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internal readonly Action<Index1D, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, byte, ArrayView<byte>> CandidateMaskKernel;
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internal readonly Action<KernelConfig, Index1D, ArrayView<byte>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<int>> CandidateCompactionKernel;
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internal readonly Action<Index1D, ArrayView<ulong>, ArrayView<ulong>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128> CandidateGenerationKernel;
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internal readonly Action<Index1D, ArrayView<byte>, ArrayView<int>> HitDetectionKernel;
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internal readonly int Capacity;
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@@ -878,6 +910,7 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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DivisorsBuffer.Dispose();
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ExponentBuffer.Dispose();
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HitsBuffer.Dispose();
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HitIndexBuffer.Dispose();
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CandidateBuffer.Dispose();
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NextStartBuffer.Dispose();
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DivisorDeltaBuffer.Dispose();
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@@ -885,11 +918,9 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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RemainderBuffer.Dispose();
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FilterCountBuffer.Dispose();
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ArrayPool<ulong> ulongPool = ThreadStaticPools.UlongPool;
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ArrayPool<byte> bytePool = ThreadStaticPools.BytePool;
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ArrayPool<MontgomeryDivisorData> divisorPool = ThreadStaticPools.MontgomeryDivisorDataPool;
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ulongPool.Return(Divisors, clearArray: false);
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ulongPool.Return(Exponents, clearArray: false);
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bytePool.Return(Hits, clearArray: false);
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divisorPool.Return(DivisorData, clearArray: false);
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ulongPool.Return(CycleCandidates, clearArray: false);
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ulongPool.Return(CycleLengths, clearArray: false);
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