Collapse GPU by-divisor batching to a single launch

PerfectNumbers.Core.Tests/Gpu/GpuKernelCompilationTests.cs

@@ -78,10 +78,6 @@ public class GpuKernelCompilationTests
         typeof(MersenneNumberDivisorByDivisorGpuTester).GetMethod("GetStepperKernel", BindingFlags.NonPublic | BindingFlags.Instance)
         ?? throw new InvalidOperationException("MersenneNumberDivisorByDivisorGpuTester.GetKernelByPrimeExponent not found.");
 
-    private static readonly MethodInfo DivisorByDivisorGetFilteredCandidateKernelMethod =
-        typeof(MersenneNumberDivisorByDivisorGpuTester).GetMethod("GetFilteredCandidateKernel", BindingFlags.NonPublic | BindingFlags.Instance)
-        ?? throw new InvalidOperationException("MersenneNumberDivisorByDivisorGpuTester.GetFilteredCandidateKernel not found.");
-
     private static readonly MethodInfo DivisorTesterGetKernelMethod =
         typeof(MersenneNumberDivisorGpuTester).GetMethod("GetKernel", BindingFlags.NonPublic | BindingFlags.Instance)
         ?? throw new InvalidOperationException("MersenneNumberDivisorGpuTester.GetKernel not found.");
@@ -154,7 +150,6 @@ public class GpuKernelCompilationTests
         yield return Loader("NttGpuMath.InverseKernel", CompileNttInverseKernel);
         yield return Loader("MersenneNumberDivisorByDivisorGpuTester.CheckKernel", CompileDivisorByDivisorCheckKernel);
         yield return Loader("MersenneNumberDivisorByDivisorGpuTester.EvaluateDivisorWithStepperKernel", CompileDivisorByDivisorExponentKernel);
-        yield return Loader("MersenneNumberDivisorByDivisorGpuTester.GenerateFilteredCandidatesKernel", CompileDivisorByDivisorFilteredCandidateKernel);
         yield return Loader("MersenneNumberDivisorGpuTester.Kernel", CompileDivisorTesterKernel);
         yield return Loader("MersenneNumberLucasLehmerGpuTester.Kernel", CompileLucasLehmerKernel);
         yield return Loader("MersenneNumberLucasLehmerGpuTester.AddSmallKernel", CompileLucasLehmerAddSmallKernel);
@@ -282,12 +277,6 @@ public class GpuKernelCompilationTests
         _ = DivisorByDivisorGetExponentKernelMethod.Invoke(tester, new object[] { accelerator });
     }
 
-    private static void CompileDivisorByDivisorFilteredCandidateKernel(Accelerator accelerator)
-    {
-        var tester = new MersenneNumberDivisorByDivisorGpuTester();
-        _ = DivisorByDivisorGetFilteredCandidateKernelMethod.Invoke(tester, new object[] { accelerator });
-    }
-
     private static void CompileDivisorTesterKernel(Accelerator accelerator)
     {
         var tester = new MersenneNumberDivisorGpuTester();

PerfectNumbers.Core/Gpu/Kernels/DivisorByDivisorKernels.cs

@@ -86,105 +86,6 @@ internal static class DivisorByDivisorKernels
         }
     }
 
-    public static void GenerateFilteredCandidatesKernel(
-        Index1D index,
-        ArrayView<ulong> candidates,
-        ArrayView<int> filteredCount,
-        ArrayView<GpuUInt128> nextStarts,
-        GpuUInt128 startValue,
-        GpuUInt128 stride,
-        byte lastIsSevenFlag)
-    {
-        int globalIndex = index;
-        int localIndex = Group.IdxX;
-        int groupSize = Group.Dimension.X;
-
-        ulong candidateOffset = (ulong)globalIndex;
-        GpuUInt128 candidateValue = stride;
-        candidateValue.Mul(candidateOffset);
-        candidateValue.Add(startValue);
-        ulong candidate = candidateValue.Low;
-        candidates[globalIndex] = candidate;
-
-        if (globalIndex == 0)
-        {
-            ulong candidateCount = (ulong)groupSize;
-            GpuUInt128 nextValue = stride;
-            nextValue.Mul(candidateCount);
-            nextValue.Add(startValue);
-            nextStarts[0] = nextValue;
-        }
-
-        bool lastIsSeven = lastIsSevenFlag != 0;
-        byte remainder10 = (byte)(candidate % 10UL);
-        bool acceptSeven = remainder10 == 3 || remainder10 == 7 || remainder10 == 9;
-        bool acceptNonSeven = remainder10 == 1 || remainder10 == 3 || remainder10 == 7 || remainder10 == 9;
-        bool accept10 = lastIsSeven ? acceptSeven : acceptNonSeven;
-        byte remainder8 = (byte)(candidate & 7UL);
-        bool accept8 = remainder8 == 1 || remainder8 == 7;
-        byte remainder5 = (byte)(candidate % 5UL);
-        bool accept5 = remainder5 != 0;
-        byte remainder3 = (byte)(candidate % 3UL);
-        bool accept3 = remainder3 != 0;
-        int accepted = (accept10 && accept8 && accept3 && accept5) ? 1 : 0;
-
-        var shared = SharedMemory.GetDynamic<int>();
-        int length = groupSize;
-        int prefixBase = 0;
-        int mappingBase = length;
-        int fallbackBase = length * 2;
-
-        shared[prefixBase + localIndex] = accepted;
-        shared[fallbackBase + localIndex] = globalIndex;
-
-        Group.Barrier();
-
-        int scanOffset = 1;
-        while (scanOffset < groupSize)
-        {
-            int addendIndex = prefixBase + localIndex - scanOffset;
-            int addend = localIndex >= scanOffset ? shared[addendIndex] : 0;
-
-            Group.Barrier();
-
-            int currentIndex = prefixBase + localIndex;
-            int current = shared[currentIndex];
-            int sum = current + addend;
-            int shouldUpdate = localIndex >= scanOffset ? 1 : 0;
-            shared[currentIndex] = shouldUpdate != 0 ? sum : current;
-
-            Group.Barrier();
-
-            scanOffset <<= 1;
-        }
-
-        int inclusivePrefix = shared[prefixBase + localIndex];
-        int exclusiveIndex = inclusivePrefix - accepted;
-        int targetBase = accepted != 0 ? mappingBase : fallbackBase;
-        int targetOffset = accepted != 0 ? exclusiveIndex : localIndex;
-        shared[targetBase + targetOffset] = globalIndex;
-
-        Group.Barrier();
-
-        int totalAccepted = shared[prefixBase + length - 1];
-        int writerMask = localIndex < totalAccepted ? 1 : 0;
-        int lookupBase = writerMask != 0 ? mappingBase : fallbackBase;
-        int sourceIndex = shared[lookupBase + localIndex];
-
-        ulong candidateValueToStore = candidates[sourceIndex];
-        if (writerMask != 0)
-        {
-            candidates[localIndex] = candidateValueToStore;
-        }
-
-        int lastLaneMask = globalIndex == length - 1 ? 1 : 0;
-        int countValue = shared[prefixBase + localIndex];
-        if (lastLaneMask != 0)
-        {
-            filteredCount[0] = countValue;
-        }
-    }
-
     public static void ConvertMontgomeryResultsToHitsKernel(
         Index1D index,
         ArrayView<ulong> results,

PerfectNumbers.Core/Gpu/MersenneNumberDivisorByDivisorGpuTester.cs

@@ -25,7 +25,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
 
     private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ArrayView<MontgomeryDivisorData>, ArrayView<ulong>, ArrayView<byte>, ArrayView<int>>> _kernelCache = new();
     private readonly ConcurrentDictionary<Accelerator, Action<Index1D, MontgomeryDivisorData, ulong, ulong, ArrayView<ulong>, ArrayView<byte>>> _stepperKernelCache = new(AcceleratorReferenceComparer.Instance);
-    private readonly ConcurrentDictionary<Accelerator, Action<KernelConfig, Index1D, ArrayView<ulong>, ArrayView<int>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128, byte>> _filteredCandidateKernelCache = new(AcceleratorReferenceComparer.Instance);
     private readonly ConcurrentDictionary<Accelerator, ConcurrentBag<BatchResources>> _resourcePools = new(AcceleratorReferenceComparer.Instance);
     private readonly ConcurrentBag<GpuContextPool.GpuContextLease> _acceleratorPool = new();
     private readonly ConcurrentBag<DivisorScanSession> _sessionPool = new();
@@ -36,10 +35,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
     private Action<Index1D, MontgomeryDivisorData, ulong, ulong, ArrayView<ulong>, ArrayView<byte>> GetStepperKernel(Accelerator accelerator) =>
         _stepperKernelCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, MontgomeryDivisorData, ulong, ulong, ArrayView<ulong>, ArrayView<byte>>(DivisorByDivisorKernels.EvaluateDivisorWithStepperKernel));
 
-    private Action<KernelConfig, Index1D, ArrayView<ulong>, ArrayView<int>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128, byte> GetFilteredCandidateKernel(Accelerator accelerator) =>
-        _filteredCandidateKernelCache.GetOrAdd(
-            accelerator,
-            acc => acc.LoadStreamKernel<Index1D, ArrayView<ulong>, ArrayView<int>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128, byte>(DivisorByDivisorKernels.GenerateFilteredCandidatesKernel));
 
     public int GpuBatchSize
     {
@@ -110,16 +105,11 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
         composite = CheckDivisors(
             prime,
             allowedMax,
-            accelerator,
             kernel,
             resources.DivisorsBuffer,
             resources.ExponentBuffer,
             resources.HitsBuffer,
             resources.HitIndexBuffer,
-            resources.CandidateBuffer,
-            resources.NextStartBuffer,
-            resources.FilterCountBuffer,
-            resources.FilteredCandidateKernel,
             resources.Divisors,
             resources.Exponents,
             resources.DivisorData,
@@ -175,16 +165,11 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
     private static bool CheckDivisors(
         ulong prime,
         ulong allowedMax,
-        Accelerator accelerator,
         Action<Index1D, ArrayView<MontgomeryDivisorData>, ArrayView<ulong>, ArrayView<byte>, ArrayView<int>> kernel,
         MemoryBuffer1D<MontgomeryDivisorData, Stride1D.Dense> divisorsBuffer,
         MemoryBuffer1D<ulong, Stride1D.Dense> exponentBuffer,
         MemoryBuffer1D<byte, Stride1D.Dense> hitsBuffer,
         MemoryBuffer1D<int, Stride1D.Dense> hitIndexBuffer,
-        MemoryBuffer1D<ulong, Stride1D.Dense> candidateBuffer,
-        MemoryBuffer1D<GpuUInt128, Stride1D.Dense> nextStartBuffer,
-        MemoryBuffer1D<int, Stride1D.Dense> filterCountBuffer,
-        Action<KernelConfig, Index1D, ArrayView<ulong>, ArrayView<int>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128, byte> filteredCandidateKernel,
         in ulong[] divisors,
         ulong[] exponents,
         MontgomeryDivisorData[] divisorData,
@@ -202,10 +187,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
 
         cycleCapacity = Math.Max(1, cycleCapacity);
         int chunkCapacity = Math.Min(batchCapacity, cycleCapacity);
-        int maxThreadsPerGroup = (int)accelerator.MaxNumThreadsPerGroup;
-        bool clampThreads = maxThreadsPerGroup > 0;
-        chunkCapacity = clampThreads && chunkCapacity > maxThreadsPerGroup ? maxThreadsPerGroup : chunkCapacity;
-        chunkCapacity = chunkCapacity <= 0 ? cycleCapacity : chunkCapacity;
 
         UInt128 twoP128 = (UInt128)prime << 1;
         UInt128 allowedMax128 = allowedMax;
@@ -226,7 +207,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
 
         UInt128 currentDivisor128 = firstDivisor128;
         bool lastIsSeven = (prime & 3UL) == 3UL;
-        byte lastIsSevenFlag = lastIsSeven ? (byte)1 : (byte)0;
         DivisorCycleCache cycleCache = DivisorCycleCache.Shared;
 
         ArrayPool<ulong> ulongPool = ThreadStaticPools.UlongPool;
@@ -236,56 +216,43 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
         Span<MontgomeryDivisorData> divisorDataStorage = divisorData.AsSpan();
         Span<ulong> divisorStorage = divisors.AsSpan();
         Span<ulong> exponentStorage = exponents.AsSpan();
-        ArrayView1D<int, Stride1D.Dense> filteredCountView = filterCountBuffer.View;
 
         while (currentK <= maxK && !composite)
         {
             int chunkCount = Math.Min(chunkCapacity, batchCapacity);
             ulong remainingK = maxK - currentK + 1UL;
-            chunkCount = (ulong)chunkCount > remainingK ? (int)remainingK : chunkCount;
+            if ((ulong)chunkCount > remainingK)
-            bool hasChunk = chunkCount > 0;
+            {
-            int effectiveCount = hasChunk ? chunkCount : 0;
+                chunkCount = (int)remainingK;
-            if (!hasChunk)
+            }
+
+            if (chunkCount <= 0)
             {
                 processedAll = true;
                 break;
             }
 
-            ArrayView1D<ulong, Stride1D.Dense> candidateView = candidateBuffer.View.SubView(0, effectiveCount);
+            int filteredCount = 0;
-            ArrayView1D<GpuUInt128, Stride1D.Dense> nextStartView = nextStartBuffer.View.SubView(0, 1);
+            UInt128 nextDivisor128 = currentDivisor128;
-            ArrayView1D<int, Stride1D.Dense> filteredCountSubView = filteredCountView.SubView(0, 1);
-            GpuUInt128 gpuStartValue = new GpuUInt128(currentDivisor128);
-            GpuUInt128 gpuStride = new GpuUInt128(twoP128);
-            GpuUInt128 nextDivisorGpu = default;
-            int filteredCount = GenerateFilteredCandidatesOnGpu(
-                effectiveCount,
-                gpuStartValue,
-                gpuStride,
-                lastIsSevenFlag,
-                candidateView,
-                filteredCountSubView,
-                nextStartView,
-                filteredCandidateKernel,
-                out nextDivisorGpu);
 
-            if (effectiveCount > 0)
+            for (int i = 0; i < chunkCount; i++)
             {
-                processedCount += (ulong)effectiveCount;
+                ulong candidate = (ulong)nextDivisor128;
-                UInt128 nextDivisor128 = (UInt128)nextDivisorGpu;
+                nextDivisor128 += twoP128;
-                UInt128 stride128 = (UInt128)gpuStride;
+
-                UInt128 lastDivisor128 = nextDivisor128 - stride128;
+                if (CandidatePassesHeuristics(candidate, lastIsSeven))
+                {
+                    filteredStorage[filteredCount++] = candidate;
+                }
+            }
+
+            processedCount += (ulong)chunkCount;
+
+            UInt128 lastDivisor128 = nextDivisor128 - twoP128;
             lastProcessed = (ulong)lastDivisor128;
             currentDivisor128 = nextDivisor128;
-            }
 
-            if (filteredCount > 0)
+            currentK += (ulong)chunkCount;
-            {
-                Span<ulong> filteredSlice = filteredStorage[..filteredCount];
-                ArrayView1D<ulong, Stride1D.Dense> filteredView = candidateView.SubView(0, filteredCount);
-                filteredView.CopyToCPU(ref MemoryMarshal.GetReference(filteredSlice), filteredCount);
-            }
-
-            currentK += (ulong)effectiveCount;
             processedAll = currentK > maxK;
 
             if (filteredCount == 0)
@@ -300,9 +267,15 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
             int admissibleCount = 0;
             for (int i = 0; i < filteredCount; i++)
             {
-                int add = cycleSpan[i] == prime ? 1 : 0;
+                ulong candidate = filteredDivisorsSpan[i];
-                filteredDivisorsSpan[admissibleCount] = filteredDivisorsSpan[i];
+                ulong candidateCycle = cycleSpan[i];
-                admissibleCount += add;
+                if (candidateCycle != prime)
+                {
+                    continue;
+                }
+
+                filteredDivisorsSpan[admissibleCount] = candidate;
+                admissibleCount++;
             }
 
             if (admissibleCount == 0)
@@ -348,42 +321,31 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
         return composite;
     }
 
-
     [MethodImpl(MethodImplOptions.AggressiveInlining)]
-    private static int GenerateFilteredCandidatesOnGpu(
+    private static bool CandidatePassesHeuristics(ulong candidate, bool lastIsSeven)
-        int count,
-        GpuUInt128 startValue,
-        GpuUInt128 stride,
-        byte lastIsSevenFlag,
-        ArrayView1D<ulong, Stride1D.Dense> candidateView,
-        ArrayView1D<int, Stride1D.Dense> filteredCountView,
-        ArrayView1D<GpuUInt128, Stride1D.Dense> nextStartView,
-        Action<KernelConfig, Index1D, ArrayView<ulong>, ArrayView<int>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128, byte> kernel,
-        out GpuUInt128 nextStart)
     {
-        // EvenPerfectBitScanner always launches this helper with a positive count,
+        ulong remainder10 = candidate % 10UL;
-        // so the guard stays commented out to keep the hot path branch-free.
+        bool accept10 = lastIsSeven
-        // if (count <= 0)
+            ? (remainder10 == 3UL || remainder10 == 7UL || remainder10 == 9UL)
-        // {
+            : (remainder10 == 1UL || remainder10 == 3UL || remainder10 == 7UL || remainder10 == 9UL);
-        //     nextStart = GpuUInt128.Zero;
+        if (!accept10)
-        //     return 0;
+        {
-        // }
+            return false;
-
-        SharedMemoryConfig sharedMemoryConfig = SharedMemoryConfig.RequestDynamic<int>(count * 3);
-        Index1D gridDim = new Index1D(1);
-        Index1D groupDim = new Index1D(count);
-        KernelConfig kernelConfig = new KernelConfig(gridDim, groupDim, sharedMemoryConfig);
-
-        kernel(kernelConfig, new Index1D(count), candidateView, filteredCountView, nextStartView, startValue, stride, lastIsSevenFlag);
-
-        int filteredCount = 0;
-        filteredCountView.SubView(0, 1).CopyToCPU(ref filteredCount, 1);
-
-        nextStart = default;
-        nextStartView.SubView(0, 1).CopyToCPU(ref nextStart, 1);
-        return filteredCount;
         }
 
+        ulong remainder8 = candidate & 7UL;
+        if (remainder8 != 1UL && remainder8 != 7UL)
+        {
+            return false;
+        }
+
+        if (candidate % 5UL == 0UL)
+        {
+            return false;
+        }
+
+        return candidate % 3UL != 0UL;
+    }
 
 
 
@@ -601,14 +563,14 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
             return resources;
         }
 
-        return new BatchResources(this, accelerator, capacity);
+        return new BatchResources(accelerator, capacity);
     }
 
     private void ReturnBatchResources(Accelerator accelerator, BatchResources resources) => _resourcePools.GetOrAdd(accelerator, static _ => []).Add(resources);
 
     private sealed class BatchResources : IDisposable
     {
-        internal BatchResources(MersenneNumberDivisorByDivisorGpuTester owner, Accelerator accelerator, int capacity)
+        internal BatchResources(Accelerator accelerator, int capacity)
         {
             int cycleCapacity = DivisorCycleCache.Shared.PreferredBatchSize;
             if (cycleCapacity <= 0)
@@ -622,15 +584,11 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
             ExponentBuffer = accelerator.Allocate1D<ulong>(actualCapacity);
             HitsBuffer = accelerator.Allocate1D<byte>(actualCapacity);
             HitIndexBuffer = accelerator.Allocate1D<int>(1);
-            CandidateBuffer = accelerator.Allocate1D<ulong>(actualCapacity);
-            NextStartBuffer = accelerator.Allocate1D<GpuUInt128>(1);
-            FilterCountBuffer = accelerator.Allocate1D<int>(1);
             ArrayPool<ulong> ulongPool = ThreadStaticPools.UlongPool;
             Divisors = ulongPool.Rent(actualCapacity);
             Exponents = ulongPool.Rent(actualCapacity);
             DivisorData = ThreadStaticPools.MontgomeryDivisorDataPool.Rent(actualCapacity);
             CycleLengths = ulongPool.Rent(cycleCapacity);
-            FilteredCandidateKernel = owner.GetFilteredCandidateKernel(accelerator);
             Capacity = actualCapacity;
             CycleCapacity = cycleCapacity;
         }
@@ -643,12 +601,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
 
         internal readonly MemoryBuffer1D<int, Stride1D.Dense> HitIndexBuffer;
 
-        internal readonly MemoryBuffer1D<ulong, Stride1D.Dense> CandidateBuffer;
-
-        internal readonly MemoryBuffer1D<GpuUInt128, Stride1D.Dense> NextStartBuffer;
-
-        internal readonly MemoryBuffer1D<int, Stride1D.Dense> FilterCountBuffer;
-
         internal readonly ulong[] Divisors;
 
         internal readonly ulong[] Exponents;
@@ -657,8 +609,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
 
         internal readonly ulong[] CycleLengths;
 
-        internal readonly Action<KernelConfig, Index1D, ArrayView<ulong>, ArrayView<int>, ArrayView<GpuUInt128>, GpuUInt128, GpuUInt128, byte> FilteredCandidateKernel;
-
         internal readonly int Capacity;
 
         internal readonly int CycleCapacity;
@@ -669,9 +619,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
             ExponentBuffer.Dispose();
             HitsBuffer.Dispose();
             HitIndexBuffer.Dispose();
-            CandidateBuffer.Dispose();
-            NextStartBuffer.Dispose();
-            FilterCountBuffer.Dispose();
             ArrayPool<ulong> ulongPool = ThreadStaticPools.UlongPool;
             ArrayPool<MontgomeryDivisorData> divisorPool = ThreadStaticPools.MontgomeryDivisorDataPool;
             ulongPool.Return(Divisors, clearArray: false);