811 lines
30 KiB
C#
811 lines
30 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.Numerics;
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using System.Runtime.CompilerServices;
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using System.Runtime.InteropServices;
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using ILGPU;
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using ILGPU.Runtime;
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using PerfectNumbers.Core.Gpu;
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namespace PerfectNumbers.Core;
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public sealed class PrimeTester
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{
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public PrimeTester()
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{
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}
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[ThreadStatic]
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private static PrimeTester? _tester;
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public static PrimeTester Exclusive => _tester ??= new();
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public static bool IsPrime(ulong n)
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{
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if (n <= 1UL)
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{
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return false;
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}
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if (n == 2UL)
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{
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throw new InvalidOperationException("PrimeTester.IsPrime encountered the sentinel input 2.");
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}
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bool isOdd = (n & 1UL) != 0UL;
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bool result = isOdd;
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bool requiresTrialDivision = result && n >= 7UL;
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if (requiresTrialDivision)
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{
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// EvenPerfectBitScanner streams exponents starting at 136,279,841, so the Mod10/GCD guard never fires on the
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// production path. Leave the logic commented out as instrumentation for diagnostic builds.
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// bool sharesMaxExponentFactor = n.Mod10() == 1UL && SharesFactorWithMaxExponent(n);
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// result &= !sharesMaxExponentFactor;
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if (result)
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{
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uint[] smallPrimeDivisors = PrimesGenerator.SmallPrimes;
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ulong[] smallPrimeDivisorsMul = PrimesGenerator.SmallPrimesPow2;
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ulong nMod10 = n.Mod10();
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switch (nMod10)
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{
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case 1UL:
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smallPrimeDivisors = PrimesGenerator.SmallPrimesLastOne;
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smallPrimeDivisorsMul = PrimesGenerator.SmallPrimesPow2LastOne;
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break;
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case 3UL:
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smallPrimeDivisors = DivisorGenerator.SmallPrimesLastThree;
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smallPrimeDivisorsMul = DivisorGenerator.SmallPrimesPow2LastThree;
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break;
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case 7UL:
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smallPrimeDivisors = PrimesGenerator.SmallPrimesLastSeven;
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smallPrimeDivisorsMul = PrimesGenerator.SmallPrimesPow2LastSeven;
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break;
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case 9UL:
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smallPrimeDivisors = DivisorGenerator.SmallPrimesLastNine;
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smallPrimeDivisorsMul = DivisorGenerator.SmallPrimesPow2LastNine;
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break;
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}
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int smallPrimeDivisorsLength = smallPrimeDivisors.Length;
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for (int i = 0; i < smallPrimeDivisorsLength; i++)
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{
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if (smallPrimeDivisorsMul[i] > n)
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{
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break;
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}
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if (n % smallPrimeDivisors[i] == 0)
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{
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result = false;
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break;
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}
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}
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}
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}
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return result;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public static bool IsPrimeGpu(ulong n)
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{
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GpuPrimeWorkLimiter.Acquire();
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var gpu = PrimeTesterGpuContextPool.Rent(1);
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var accelerator = gpu.Accelerator;
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var stream = gpu.Stream;
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var kernel = PrimeTesterGpuContextPool.PrimeTesterGpuContextLease.Kernel;
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ulong value = n;
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byte flag = 0;
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var input = gpu.Input;
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var output = gpu.Output;
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var inputView = input.View;
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var outputView = output.View;
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inputView.CopyFromCPU(stream, ref value, 1);
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kernel(
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stream,
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1,
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inputView,
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gpu.DevicePrimesDefault.View,
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gpu.DevicePrimesLastOne.View,
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gpu.DevicePrimesLastSeven.View,
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gpu.DevicePrimesLastThree.View,
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gpu.DevicePrimesLastNine.View,
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gpu.DevicePrimesPow2Default.View,
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gpu.DevicePrimesPow2LastOne.View,
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gpu.DevicePrimesPow2LastSeven.View,
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gpu.DevicePrimesPow2LastThree.View,
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gpu.DevicePrimesPow2LastNine.View,
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outputView);
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outputView.CopyToCPU(stream, ref flag, 1);
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stream.Synchronize();
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gpu.Dispose();
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GpuPrimeWorkLimiter.Release();
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return flag != 0;
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}
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public static int GpuBatchSize { get; set; } = 262_144;
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private static readonly object GpuWarmUpLock = new();
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private static int WarmedGpuLeaseCount;
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public static void WarmUpGpuKernels(int threadCount)
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{
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int target = threadCount >> 2;
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if (target == 0)
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{
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target = threadCount;
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}
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lock (GpuWarmUpLock)
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{
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if (target <= WarmedGpuLeaseCount)
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{
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return;
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}
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PrimeTesterGpuContextPool.WarmUp(target, GpuBatchSize);
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WarmedGpuLeaseCount = target;
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}
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public static void IsPrimeBatchGpu(ReadOnlySpan<ulong> values, Span<byte> results)
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{
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GpuPrimeWorkLimiter.Acquire();
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var gpu = PrimeTesterGpuContextPool.Rent(GpuBatchSize);
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var accelerator = gpu.Accelerator;
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var stream = gpu.Stream;
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var kernel = PrimeTesterGpuContextPool.PrimeTesterGpuContextLease.Kernel;
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int totalLength = values.Length;
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int batchSize = GpuBatchSize;
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var input = gpu.Input;
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var output = gpu.Output;
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var inputView = input.View;
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var outputView = output.View;
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int pos = 0;
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while (pos < totalLength)
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{
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int remaining = totalLength - pos;
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int count = remaining > batchSize ? batchSize : remaining;
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var valueSlice = values.Slice(pos, count);
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ref ulong valueRef = ref MemoryMarshal.GetReference(valueSlice);
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inputView.CopyFromCPU(stream, ref valueRef, count);
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kernel(
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stream,
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count,
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inputView,
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gpu.DevicePrimesDefault.View,
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gpu.DevicePrimesLastOne.View,
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gpu.DevicePrimesLastSeven.View,
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gpu.DevicePrimesLastThree.View,
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gpu.DevicePrimesLastNine.View,
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gpu.DevicePrimesPow2Default.View,
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gpu.DevicePrimesPow2LastOne.View,
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gpu.DevicePrimesPow2LastSeven.View,
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gpu.DevicePrimesPow2LastThree.View,
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gpu.DevicePrimesPow2LastNine.View,
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outputView);
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var resultSlice = results.Slice(pos, count);
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ref byte resultRef = ref MemoryMarshal.GetReference(resultSlice);
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outputView.CopyToCPU(stream, ref resultRef, count);
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pos += count;
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}
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stream.Synchronize();
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gpu.Dispose();
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GpuPrimeWorkLimiter.Release();
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}
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internal static class PrimeTesterGpuContextPool
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{
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private static readonly ConcurrentQueue<PrimeTesterGpuContextLease> Pool = new();
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private static readonly object WarmUpLock = new();
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private static int WarmedLeaseCount;
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private static readonly object SharedTablesLock = new();
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private static readonly Dictionary<Accelerator, SharedHeuristicGpuTables> SharedTables = new(AcceleratorReferenceComparer.Instance);
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private static SharedHeuristicGpuTables RentSharedTables(Accelerator accelerator, AcceleratorStream stream)
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{
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lock (SharedTablesLock)
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{
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if (!SharedTables.TryGetValue(accelerator, out var tables))
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{
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tables = new SharedHeuristicGpuTables(accelerator, stream);
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SharedTables.Add(accelerator, tables);
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}
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tables.AddReference();
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return tables;
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}
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}
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private static void ReleaseSharedTables(SharedHeuristicGpuTables tables)
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{
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if (tables is null)
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{
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return;
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}
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lock (SharedTablesLock)
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{
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tables.Release();
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}
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}
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internal static void EnsureStaticTables(KernelContainer kernels, Accelerator accelerator, AcceleratorStream stream)
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{
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var tables = RentSharedTables(accelerator, stream);
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var heuristicTables = tables.CreateHeuristicDivisorTables();
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HeuristicGpuDivisorTables.InitializeShared(in heuristicTables);
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ReleaseSharedTables(tables);
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}
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internal static void WarmUp(int target, int minBufferCapacity)
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{
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if (target <= 0)
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{
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return;
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}
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lock (WarmUpLock)
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{
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if (target <= WarmedLeaseCount)
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{
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return;
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}
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Accelerator accelerator = SharedGpuContext.Accelerator;
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AcceleratorStream stream = accelerator.CreateStream();
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KernelContainer kernels = GpuKernelPool.Kernels;
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GpuStaticTableInitializer.EnsureStaticTables(kernels, accelerator, stream);
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int toCreate = target - WarmedLeaseCount;
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for (int i = 0; i < toCreate; i++)
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{
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Pool.Enqueue(new PrimeTesterGpuContextLease(minBufferCapacity, stream));
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}
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stream.Synchronize();
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stream.Dispose();
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WarmedLeaseCount = target;
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}
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}
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internal static PrimeTesterGpuContextLease Rent(int minBufferCapacity = 1)
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{
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if (!Pool.TryDequeue(out var lease))
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{
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lease = new PrimeTesterGpuContextLease(minBufferCapacity);
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}
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else
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{
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lease.EnsureCapacity(minBufferCapacity);
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}
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return lease;
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}
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internal static void Return(PrimeTesterGpuContextLease lease)
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{
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Pool.Enqueue(lease);
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}
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internal static void DisposeAll()
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{
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while (Pool.TryDequeue(out var lease))
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{
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lease.DisposeResources();
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}
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lock (SharedTablesLock)
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{
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foreach (var entry in SharedTables.Values)
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{
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entry.Dispose();
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}
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SharedTables.Clear();
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var emptyTables = default(HeuristicGpuDivisorTables);
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HeuristicGpuDivisorTables.InitializeShared(in emptyTables);
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}
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WarmedLeaseCount = 0;
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}
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internal static void Clear(Accelerator accelerator)
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{
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if (accelerator is null)
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{
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return;
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}
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lock (WarmUpLock)
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{
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var retained = new List<PrimeTesterGpuContextLease>();
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while (Pool.TryDequeue(out var lease))
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{
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if (lease.Accelerator == accelerator)
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{
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lease.DisposeResources();
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}
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else
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{
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retained.Add(lease);
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}
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}
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int retainedCount = retained.Count;
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for (int i = 0; i < retainedCount; i++)
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{
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Pool.Enqueue(retained[i]);
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}
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WarmedLeaseCount = Pool.Count;
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}
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lock (SharedTablesLock)
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{
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if (SharedTables.Remove(accelerator, out var tables))
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{
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tables.Dispose();
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}
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if (SharedTables.Count == 0)
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{
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var emptyTables = default(HeuristicGpuDivisorTables);
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HeuristicGpuDivisorTables.InitializeShared(in emptyTables);
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}
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}
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}
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internal sealed class PrimeTesterGpuContextLease
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{
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private readonly SharedHeuristicGpuTables _sharedTables;
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private readonly HeuristicGpuDivisorTables _heuristicDivisorTables;
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internal readonly Context AcceleratorContext;
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public readonly Accelerator Accelerator;
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private AcceleratorStream? _stream;
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public AcceleratorStream Stream
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{
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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get => _stream ?? Accelerator.CreateStream();
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}
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public static readonly Action<AcceleratorStream, Index1D, ArrayView<ulong>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<byte>> Kernel = KernelUtil.GetKernel(SharedGpuContext.Accelerator.LoadAutoGroupedStreamKernel<Index1D, ArrayView<ulong>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<byte>>(PrimeTesterKernels.SmallPrimeSieveKernel)).CreateLauncherDelegate<Action<AcceleratorStream, Index1D, ArrayView<ulong>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<byte>>>();
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public static readonly Action<AcceleratorStream, Index1D, ArrayView<int>, ulong, ulong, HeuristicGpuDivisorTableKind, HeuristicGpuDivisorTables> HeuristicTrialDivisionKernel = KernelUtil.GetKernel(SharedGpuContext.Accelerator.LoadAutoGroupedStreamKernel<Index1D, ArrayView<int>, ulong, ulong, HeuristicGpuDivisorTableKind, HeuristicGpuDivisorTables>(PrimeTesterKernels.HeuristicTrialDivisionKernel)).CreateLauncherDelegate<Action<AcceleratorStream, Index1D, ArrayView<int>, ulong, ulong, HeuristicGpuDivisorTableKind, HeuristicGpuDivisorTables>>();
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public MemoryBuffer1D<ulong, Stride1D.Dense> Input = null!;
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public MemoryBuffer1D<byte, Stride1D.Dense> Output = null!;
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public MemoryBuffer1D<int, Stride1D.Dense> HeuristicFlag = null!;
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public int BufferCapacity;
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public MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesDefault => _sharedTables.DevicePrimesDefault;
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public MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastOne => _sharedTables.DevicePrimesLastOne;
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public MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastSeven => _sharedTables.DevicePrimesLastSeven;
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public MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastThree => _sharedTables.DevicePrimesLastThree;
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public MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastNine => _sharedTables.DevicePrimesLastNine;
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public MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2Default => _sharedTables.DevicePrimesPow2Default;
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public MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastOne => _sharedTables.DevicePrimesPow2LastOne;
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public MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastSeven => _sharedTables.DevicePrimesPow2LastSeven;
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public MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastThree => _sharedTables.DevicePrimesPow2LastThree;
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public MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastNine => _sharedTables.DevicePrimesPow2LastNine;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupADivisors => _sharedTables.HeuristicGroupADivisors;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupADivisorSquares => _sharedTables.HeuristicGroupADivisorSquares;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorsEnding1 => _sharedTables.HeuristicGroupBDivisorsEnding1;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorSquaresEnding1 => _sharedTables.HeuristicGroupBDivisorSquaresEnding1;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorsEnding7 => _sharedTables.HeuristicGroupBDivisorsEnding7;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorSquaresEnding7 => _sharedTables.HeuristicGroupBDivisorSquaresEnding7;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorsEnding9 => _sharedTables.HeuristicGroupBDivisorsEnding9;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorSquaresEnding9 => _sharedTables.HeuristicGroupBDivisorSquaresEnding9;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding1 => _sharedTables.HeuristicCombinedDivisorsEnding1;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding1 => _sharedTables.HeuristicCombinedDivisorSquaresEnding1;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding3 => _sharedTables.HeuristicCombinedDivisorsEnding3;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding3 => _sharedTables.HeuristicCombinedDivisorSquaresEnding3;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding7 => _sharedTables.HeuristicCombinedDivisorsEnding7;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding7 => _sharedTables.HeuristicCombinedDivisorSquaresEnding7;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding9 => _sharedTables.HeuristicCombinedDivisorsEnding9;
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public MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding9 => _sharedTables.HeuristicCombinedDivisorSquaresEnding9;
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public HeuristicGpuDivisorTables HeuristicGpuTables => _heuristicDivisorTables;
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internal PrimeTesterGpuContextLease(int minBufferCapacity)
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{
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AcceleratorContext = SharedGpuContext.Context;
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Accelerator = SharedGpuContext.Accelerator;
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AcceleratorStream stream = SharedGpuContext.Accelerator.CreateStream();
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var kernels = GpuKernelPool.Kernels;
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GpuStaticTableInitializer.EnsureStaticTables(kernels, Accelerator, stream);
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_sharedTables = RentSharedTables(Accelerator, stream);
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_heuristicDivisorTables = _sharedTables.CreateHeuristicDivisorTables();
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HeuristicGpuDivisorTables.InitializeShared(in _heuristicDivisorTables);
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EnsureCapacity(minBufferCapacity);
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stream.Synchronize();
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stream.Dispose();
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}
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internal PrimeTesterGpuContextLease(int minBufferCapacity, AcceleratorStream stream)
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{
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AcceleratorContext = SharedGpuContext.Context;
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Accelerator = SharedGpuContext.Accelerator;
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// GpuStaticTableInitializer.EnsureStaticTables(Accelerator);
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// Kernel = Accelerator.LoadAutoGroupedStreamKernel<Index1D, ArrayView<ulong>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<uint>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<ulong>, ArrayView<byte>>(PrimeTesterKernels.SmallPrimeSieveKernel);
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// HeuristicTrialDivisionKernel = Accelerator.LoadAutoGroupedStreamKernel<Index1D, ArrayView<int>, ulong, ulong, HeuristicGpuDivisorTableKind, HeuristicGpuDivisorTables>(PrimeTesterKernels.HeuristicTrialDivisionKernel);
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_sharedTables = RentSharedTables(Accelerator, stream);
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_heuristicDivisorTables = _sharedTables.CreateHeuristicDivisorTables();
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HeuristicGpuDivisorTables.InitializeShared(in _heuristicDivisorTables);
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EnsureCapacity(minBufferCapacity);
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}
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public void EnsureCapacity(int minCapacity)
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{
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if (minCapacity <= BufferCapacity)
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{
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return;
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}
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Input?.Dispose();
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Output?.Dispose();
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HeuristicFlag?.Dispose();
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|
|
Input = Accelerator.Allocate1D<ulong>(minCapacity);
|
|
Output = Accelerator.Allocate1D<byte>(minCapacity);
|
|
HeuristicFlag = Accelerator.Allocate1D<int>(minCapacity);
|
|
BufferCapacity = minCapacity;
|
|
}
|
|
|
|
public void Dispose()
|
|
{
|
|
Return(this);
|
|
}
|
|
|
|
internal void DisposeResources()
|
|
{
|
|
Input?.Dispose();
|
|
Output?.Dispose();
|
|
HeuristicFlag?.Dispose();
|
|
_stream?.Dispose();
|
|
_stream = null;
|
|
ReleaseSharedTables(_sharedTables);
|
|
// These resources are shared between GPU leases
|
|
// Accelerator.Dispose();
|
|
// AcceleratorContext.Dispose();
|
|
}
|
|
}
|
|
|
|
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);
|
|
}
|
|
}
|
|
|
|
private sealed class SharedHeuristicGpuTables
|
|
{
|
|
private int _referenceCount;
|
|
|
|
internal SharedHeuristicGpuTables(Accelerator accelerator, AcceleratorStream stream)
|
|
{
|
|
|
|
var primesDefault = DivisorGenerator.SmallPrimes;
|
|
DevicePrimesDefault = accelerator.Allocate1D<uint>(primesDefault.Length);
|
|
DevicePrimesDefault.View.CopyFromCPU(stream, primesDefault);
|
|
|
|
var primesLastOne = DivisorGenerator.SmallPrimesLastOne;
|
|
DevicePrimesLastOne = accelerator.Allocate1D<uint>(primesLastOne.Length);
|
|
DevicePrimesLastOne.View.CopyFromCPU(stream, primesLastOne);
|
|
|
|
var primesLastSeven = DivisorGenerator.SmallPrimesLastSeven;
|
|
DevicePrimesLastSeven = accelerator.Allocate1D<uint>(primesLastSeven.Length);
|
|
DevicePrimesLastSeven.View.CopyFromCPU(stream, primesLastSeven);
|
|
|
|
var primesLastThree = DivisorGenerator.SmallPrimesLastThree;
|
|
DevicePrimesLastThree = accelerator.Allocate1D<uint>(primesLastThree.Length);
|
|
DevicePrimesLastThree.View.CopyFromCPU(stream, primesLastThree);
|
|
|
|
var primesLastNine = DivisorGenerator.SmallPrimesLastNine;
|
|
DevicePrimesLastNine = accelerator.Allocate1D<uint>(primesLastNine.Length);
|
|
DevicePrimesLastNine.View.CopyFromCPU(stream, primesLastNine);
|
|
|
|
var primesPow2Default = DivisorGenerator.SmallPrimesPow2;
|
|
DevicePrimesPow2Default = accelerator.Allocate1D<ulong>(primesPow2Default.Length);
|
|
DevicePrimesPow2Default.View.CopyFromCPU(stream, primesPow2Default);
|
|
|
|
var primesPow2LastOne = DivisorGenerator.SmallPrimesPow2LastOne;
|
|
DevicePrimesPow2LastOne = accelerator.Allocate1D<ulong>(primesPow2LastOne.Length);
|
|
DevicePrimesPow2LastOne.View.CopyFromCPU(stream, primesPow2LastOne);
|
|
|
|
var primesPow2LastSeven = DivisorGenerator.SmallPrimesPow2LastSeven;
|
|
DevicePrimesPow2LastSeven = accelerator.Allocate1D<ulong>(primesPow2LastSeven.Length);
|
|
DevicePrimesPow2LastSeven.View.CopyFromCPU(stream, primesPow2LastSeven);
|
|
|
|
var primesPow2LastThree = DivisorGenerator.SmallPrimesPow2LastThree;
|
|
DevicePrimesPow2LastThree = accelerator.Allocate1D<ulong>(primesPow2LastThree.Length);
|
|
DevicePrimesPow2LastThree.View.CopyFromCPU(stream, primesPow2LastThree);
|
|
|
|
var primesPow2LastNine = DivisorGenerator.SmallPrimesPow2LastNine;
|
|
DevicePrimesPow2LastNine = accelerator.Allocate1D<ulong>(primesPow2LastNine.Length);
|
|
DevicePrimesPow2LastNine.View.CopyFromCPU(stream, primesPow2LastNine);
|
|
|
|
HeuristicPrimeSieves.EnsureInitialized();
|
|
HeuristicCombinedPrimeTester.EnsureInitialized();
|
|
|
|
var heuristicGroupA = HeuristicPrimeSieves.GroupADivisors;
|
|
HeuristicGroupADivisors = CopySpanToDevice(accelerator, stream, heuristicGroupA);
|
|
|
|
var heuristicGroupASquares = HeuristicPrimeSieves.GroupADivisorSquares;
|
|
HeuristicGroupADivisorSquares = CopySpanToDevice(accelerator, stream, heuristicGroupASquares);
|
|
|
|
HeuristicGroupBDivisorsEnding1 = CopyUintSpanToDevice(accelerator, stream, DivisorGenerator.SmallPrimesLastOneWithoutLastThree);
|
|
HeuristicGroupBDivisorSquaresEnding1 = CopySpanToDevice(accelerator, stream, DivisorGenerator.SmallPrimesPow2LastOneWithoutLastThree);
|
|
|
|
HeuristicGroupBDivisorsEnding7 = CopyUintSpanToDevice(accelerator, stream, DivisorGenerator.SmallPrimesLastSevenWithoutLastThree);
|
|
HeuristicGroupBDivisorSquaresEnding7 = CopySpanToDevice(accelerator, stream, DivisorGenerator.SmallPrimesPow2LastSevenWithoutLastThree);
|
|
|
|
HeuristicGroupBDivisorsEnding9 = CopyUintSpanToDevice(accelerator, stream, DivisorGenerator.SmallPrimesLastNineWithoutLastThree);
|
|
HeuristicGroupBDivisorSquaresEnding9 = CopySpanToDevice(accelerator, stream, DivisorGenerator.SmallPrimesPow2LastNineWithoutLastThree);
|
|
|
|
var combinedEnding1 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding1Span;
|
|
HeuristicCombinedDivisorsEnding1 = CopySpanToDevice(accelerator, stream, combinedEnding1);
|
|
var combinedSquaresEnding1 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding1SquaresSpan;
|
|
HeuristicCombinedDivisorSquaresEnding1 = CopySpanToDevice(accelerator, stream, combinedSquaresEnding1);
|
|
|
|
var combinedEnding3 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding3Span;
|
|
HeuristicCombinedDivisorsEnding3 = CopySpanToDevice(accelerator, stream, combinedEnding3);
|
|
var combinedSquaresEnding3 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding3SquaresSpan;
|
|
HeuristicCombinedDivisorSquaresEnding3 = CopySpanToDevice(accelerator, stream, combinedSquaresEnding3);
|
|
|
|
var combinedEnding7 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding7Span;
|
|
HeuristicCombinedDivisorsEnding7 = CopySpanToDevice(accelerator, stream, combinedEnding7);
|
|
var combinedSquaresEnding7 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding7SquaresSpan;
|
|
HeuristicCombinedDivisorSquaresEnding7 = CopySpanToDevice(accelerator, stream, combinedSquaresEnding7);
|
|
|
|
var combinedEnding9 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding9Span;
|
|
HeuristicCombinedDivisorsEnding9 = CopySpanToDevice(accelerator, stream, combinedEnding9);
|
|
var combinedSquaresEnding9 = HeuristicCombinedPrimeTester.CombinedDivisorsEnding9SquaresSpan;
|
|
HeuristicCombinedDivisorSquaresEnding9 = CopySpanToDevice(accelerator, stream, combinedSquaresEnding9);
|
|
}
|
|
|
|
internal MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesDefault { get; }
|
|
internal MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastOne { get; }
|
|
internal MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastSeven { get; }
|
|
internal MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastThree { get; }
|
|
internal MemoryBuffer1D<uint, Stride1D.Dense> DevicePrimesLastNine { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2Default { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastOne { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastSeven { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastThree { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> DevicePrimesPow2LastNine { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupADivisors { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupADivisorSquares { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorsEnding1 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorSquaresEnding1 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorsEnding7 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorSquaresEnding7 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorsEnding9 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicGroupBDivisorSquaresEnding9 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding1 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding1 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding3 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding3 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding7 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding7 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorsEnding9 { get; }
|
|
internal MemoryBuffer1D<ulong, Stride1D.Dense> HeuristicCombinedDivisorSquaresEnding9 { get; }
|
|
|
|
internal HeuristicGpuDivisorTables CreateHeuristicDivisorTables()
|
|
{
|
|
return new HeuristicGpuDivisorTables(
|
|
HeuristicCombinedDivisorsEnding1.View,
|
|
HeuristicCombinedDivisorsEnding3.View,
|
|
HeuristicCombinedDivisorsEnding7.View,
|
|
HeuristicCombinedDivisorsEnding9.View,
|
|
HeuristicCombinedDivisorSquaresEnding1.View,
|
|
HeuristicCombinedDivisorSquaresEnding3.View,
|
|
HeuristicCombinedDivisorSquaresEnding7.View,
|
|
HeuristicCombinedDivisorSquaresEnding9.View,
|
|
HeuristicGroupADivisors.View,
|
|
HeuristicGroupADivisorSquares.View,
|
|
HeuristicGroupBDivisorsEnding1.View,
|
|
HeuristicGroupBDivisorSquaresEnding1.View,
|
|
HeuristicGroupBDivisorsEnding7.View,
|
|
HeuristicGroupBDivisorSquaresEnding7.View,
|
|
HeuristicGroupBDivisorsEnding9.View,
|
|
HeuristicGroupBDivisorSquaresEnding9.View);
|
|
}
|
|
|
|
internal void AddReference()
|
|
{
|
|
_referenceCount++;
|
|
}
|
|
|
|
internal void Release()
|
|
{
|
|
if (_referenceCount > 0)
|
|
{
|
|
_referenceCount--;
|
|
}
|
|
}
|
|
|
|
private static MemoryBuffer1D<ulong, Stride1D.Dense> CopySpanToDevice(Accelerator accelerator, AcceleratorStream stream, ReadOnlySpan<ulong> span)
|
|
{
|
|
var buffer = accelerator.Allocate1D<ulong>(span.Length);
|
|
if (!span.IsEmpty)
|
|
{
|
|
ref ulong sourceRef = ref MemoryMarshal.GetReference(span);
|
|
buffer.View.CopyFromCPU(stream, ref sourceRef, span.Length);
|
|
}
|
|
|
|
return buffer;
|
|
}
|
|
|
|
private static MemoryBuffer1D<ulong, Stride1D.Dense> CopyUintSpanToDevice(Accelerator accelerator, AcceleratorStream stream, ReadOnlySpan<uint> span)
|
|
{
|
|
var buffer = accelerator.Allocate1D<ulong>(span.Length);
|
|
if (!span.IsEmpty)
|
|
{
|
|
var converted = new ulong[span.Length];
|
|
for (int i = 0; i < span.Length; i++)
|
|
{
|
|
converted[i] = span[i];
|
|
}
|
|
|
|
buffer.View.CopyFromCPU(stream, converted);
|
|
}
|
|
|
|
return buffer;
|
|
}
|
|
|
|
internal void Dispose()
|
|
{
|
|
DevicePrimesDefault.Dispose();
|
|
DevicePrimesLastOne.Dispose();
|
|
DevicePrimesLastSeven.Dispose();
|
|
DevicePrimesLastThree.Dispose();
|
|
DevicePrimesLastNine.Dispose();
|
|
DevicePrimesPow2Default.Dispose();
|
|
DevicePrimesPow2LastOne.Dispose();
|
|
DevicePrimesPow2LastSeven.Dispose();
|
|
DevicePrimesPow2LastThree.Dispose();
|
|
DevicePrimesPow2LastNine.Dispose();
|
|
HeuristicGroupADivisors.Dispose();
|
|
HeuristicGroupADivisorSquares.Dispose();
|
|
HeuristicGroupBDivisorsEnding1.Dispose();
|
|
HeuristicGroupBDivisorSquaresEnding1.Dispose();
|
|
HeuristicGroupBDivisorsEnding7.Dispose();
|
|
HeuristicGroupBDivisorSquaresEnding7.Dispose();
|
|
HeuristicGroupBDivisorsEnding9.Dispose();
|
|
HeuristicGroupBDivisorSquaresEnding9.Dispose();
|
|
HeuristicCombinedDivisorsEnding1.Dispose();
|
|
HeuristicCombinedDivisorSquaresEnding1.Dispose();
|
|
HeuristicCombinedDivisorsEnding3.Dispose();
|
|
HeuristicCombinedDivisorSquaresEnding3.Dispose();
|
|
HeuristicCombinedDivisorsEnding7.Dispose();
|
|
HeuristicCombinedDivisorSquaresEnding7.Dispose();
|
|
HeuristicCombinedDivisorsEnding9.Dispose();
|
|
HeuristicCombinedDivisorSquaresEnding9.Dispose();
|
|
}
|
|
}
|
|
}
|
|
|
|
// Expose cache clearing for accelerator disposal coordination
|
|
public static void ClearGpuCaches(Accelerator accelerator)
|
|
{
|
|
PrimeTesterGpuContextPool.Clear(accelerator);
|
|
}
|
|
|
|
internal static void DisposeGpuContexts()
|
|
{
|
|
PrimeTesterGpuContextPool.DisposeAll();
|
|
lock (GpuWarmUpLock)
|
|
{
|
|
WarmedGpuLeaseCount = 0;
|
|
}
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
internal static bool SharesFactorWithMaxExponent(ulong n)
|
|
{
|
|
// TODO: Replace this on-the-fly GCD probe with the cached factor table derived from
|
|
// ResidueComputationBenchmarks so divisor-cycle metadata can short-circuit the test
|
|
// instead of recomputing binary GCD for every candidate.
|
|
ulong m = (ulong)BitOperations.Log2(n);
|
|
return BinaryGcd(n, m) != 1UL;
|
|
}
|
|
|
|
internal static void SharesFactorWithMaxExponentBatch(ReadOnlySpan<ulong> values, Span<byte> results)
|
|
{
|
|
// TODO: Route this batch helper through the shared GPU kernel pool from
|
|
// GpuUInt128BinaryGcdBenchmarks so we reuse cached kernels, pinned host buffers,
|
|
// and divisor-cycle staging instead of allocating new device buffers per call.
|
|
var gpu = PrimeTesterGpuContextPool.Rent();
|
|
var accelerator = gpu.Accelerator;
|
|
var stream = gpu.Stream;
|
|
|
|
var kernel = KernelUtil.GetKernel(accelerator.LoadAutoGroupedStreamKernel<Index1D, ArrayView<ulong>, ArrayView<byte>>(PrimeTesterKernels.SharesFactorKernel)).CreateLauncherDelegate<Action<AcceleratorStream, Index1D, ArrayView<ulong>, ArrayView<byte>>>();
|
|
|
|
int length = values.Length;
|
|
var inputBuffer = accelerator.Allocate1D<ulong>(length);
|
|
var resultBuffer = accelerator.Allocate1D<byte>(length);
|
|
|
|
ArrayPool<ulong> pool = ThreadStaticPools.UlongPool;
|
|
ulong[] temp = pool.Rent(length);
|
|
values.CopyTo(temp);
|
|
inputBuffer.View.CopyFromCPU(stream, ref temp[0], length);
|
|
kernel(stream, length, inputBuffer.View, resultBuffer.View);
|
|
resultBuffer.View.CopyToCPU(stream, ref results[0], length);
|
|
stream.Synchronize();
|
|
pool.Return(temp, clearArray: false);
|
|
resultBuffer.Dispose();
|
|
inputBuffer.Dispose();
|
|
gpu.Dispose();
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static ulong BinaryGcd(ulong u, ulong v)
|
|
{
|
|
// TODO: Swap this handwritten binary GCD for the optimized helper measured in
|
|
// GpuUInt128BinaryGcdBenchmarks so CPU callers share the faster subtract-less
|
|
// ladder once the common implementation is promoted into PerfectNumbers.Core.
|
|
if (u == 0UL)
|
|
{
|
|
return v;
|
|
}
|
|
|
|
if (v == 0UL)
|
|
{
|
|
return u;
|
|
}
|
|
|
|
int shift = BitOperations.TrailingZeroCount(u | v);
|
|
u >>= BitOperations.TrailingZeroCount(u);
|
|
|
|
do
|
|
{
|
|
v >>= BitOperations.TrailingZeroCount(v);
|
|
if (u > v)
|
|
{
|
|
(u, v) = (v, u);
|
|
}
|
|
|
|
v -= u;
|
|
}
|
|
while (v != 0UL);
|
|
|
|
return u << shift;
|
|
}
|
|
}
|