using System.Buffers; using System.Runtime.InteropServices; using ILGPU.Runtime; namespace PerfectNumbers.Core.Gpu; public class MersenneNumberResidueGpuTester(bool useGpuOrder) { private readonly bool _useGpuOrder = useGpuOrder; // TODO: Integrate MersenneDivisorCycles.Shared to consult cycle lengths for small q (<= 4M) and fast-reject // candidates without launching heavy kernels. Consider a device-visible constant buffer per-accelerator // via GpuKernelPool to avoid host round-trips. // GPU residue variant: check 2^p % q == 1 for q = 2*p*k + 1. public void Scan(ulong exponent, UInt128 twoP, bool lastIsSeven, UInt128 maxK, ref bool isPrime) { var gpuLease = GpuKernelPool.GetKernel(_useGpuOrder); var accelerator = gpuLease.Accelerator; var stream = gpuLease.Stream; // Ensure device has small cycles and primes tables for in-kernel lookup var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(accelerator); ResiduePrimeViews primeViews = GpuKernelPool.EnsureSmallPrimesOnDevice(accelerator); int batchSize = GpuConstants.ScanBatchSize; UInt128 kStart = 1UL; byte last = lastIsSeven ? (byte)1 : (byte)0; var kernel = gpuLease.Pow2ModKernel; exponent.Mod10_8_5_3Steps(out ulong step10, out ulong step8, out ulong step5, out ulong step3); GpuUInt128 twoPGpu = (GpuUInt128)twoP; var orderBuffer = accelerator.Allocate1D(batchSize); // Device memory returned by Allocate1D is not guaranteed to be zeroed. // Ensure the buffer starts with a known state so that lanes skipped by the // kernel (for example due to early rejections) do not leave stale garbage // values that would be interpreted as composite witnesses when copied back // to the host. This mirrors the explicit zeroing performed by other GPU // testers such as the order kernels. orderBuffer.MemSetToZero(); ulong[] orderArray = ArrayPool.Shared.Rent(batchSize); UInt128 batchSize128 = (UInt128)batchSize; UInt128 fullBatchStep = twoP * batchSize128; UInt128 q = twoP * kStart + UInt128.One; try { while (kStart < maxK && Volatile.Read(ref isPrime)) { UInt128 remaining = maxK - kStart; int currentSize = remaining > batchSize128 ? batchSize : (int)remaining; Span orders = orderArray.AsSpan(0, currentSize); ref ulong ordersRef = ref MemoryMarshal.GetReference(orders); q.Mod10_8_5_3(out ulong q0m10, out ulong q0m8, out ulong q0m5, out ulong q0m3); var kernelArgs = new ResidueAutomatonArgs(q0m10, step10, q0m8, step8, q0m3, step3, q0m5, step5); kernel(stream, currentSize, exponent, twoPGpu, (GpuUInt128)kStart, last, 0UL, kernelArgs, orderBuffer.View, smallCyclesView, primeViews.LastOne, primeViews.LastSeven, primeViews.LastOnePow2, primeViews.LastSevenPow2); accelerator.Synchronize(); orderBuffer.View.CopyToCPU(ref ordersRef, currentSize); if (!Volatile.Read(ref isPrime)) { break; } bool compositeFound = false; for (int i = 0; i < currentSize; i++) { if (orders[i] != 0UL) { Volatile.Write(ref isPrime, false); compositeFound = true; break; } } if (compositeFound) { break; } UInt128 processed = (UInt128)currentSize; kStart += processed; if (kStart < maxK) { if (processed == batchSize128) { q += fullBatchStep; } else { q += twoP * processed; } } } } finally { ArrayPool.Shared.Return(orderArray); orderBuffer.Dispose(); gpuLease.Dispose(); } } }