Document GPU kernel audit progress
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@@ -28,23 +28,23 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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private readonly ConcurrentBag<DivisorScanSession> _sessionPool = new();
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private Action<Index1D, ArrayView<MontgomeryDivisorData>, ArrayView<ulong>, ArrayView<byte>> GetKernel(Accelerator accelerator) =>
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_kernelCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<MontgomeryDivisorData>, ArrayView<ulong>, ArrayView<byte>>(CheckKernel));
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_kernelCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<MontgomeryDivisorData>, ArrayView<ulong>, ArrayView<byte>>(DivisorByDivisorKernels.CheckKernel));
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private Action<Index1D, MontgomeryDivisorData, ArrayView<ulong>, ArrayView<ulong>> GetKernelByPrimeExponent(Accelerator accelerator) =>
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_kernelExponentCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, MontgomeryDivisorData, ArrayView<ulong>, ArrayView<ulong>>(ComputeMontgomeryExponentKernel));
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_kernelExponentCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, MontgomeryDivisorData, ArrayView<ulong>, ArrayView<ulong>>(DivisorByDivisorKernels.ComputeMontgomeryExponentKernel));
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private Action<Index1D, ArrayView<ulong>, ArrayView<byte>, byte> GetRemainderDeltaKernel(Accelerator accelerator) =>
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_remainderDeltaKernelCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<ulong>, ArrayView<byte>, byte>(ComputeRemainderDeltasKernel));
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_remainderDeltaKernelCache.GetOrAdd(accelerator, acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<ulong>, ArrayView<byte>, byte>(DivisorByDivisorKernels.ComputeRemainderDeltasKernel));
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private Action<KernelConfig, Index1D, ArrayView<byte>, ArrayView<byte>, byte, byte> GetRemainderScanKernel(Accelerator accelerator) =>
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_remainderScanKernelCache.GetOrAdd(
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accelerator,
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acc => acc.LoadStreamKernel<Index1D, ArrayView<byte>, ArrayView<byte>, byte, byte>(AccumulateRemaindersKernel));
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acc => acc.LoadStreamKernel<Index1D, ArrayView<byte>, ArrayView<byte>, byte, byte>(DivisorByDivisorKernels.AccumulateRemaindersKernel));
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private Action<Index1D, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, byte, ArrayView<byte>> GetCandidateMaskKernel(Accelerator accelerator) =>
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_candidateMaskKernelCache.GetOrAdd(
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accelerator,
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acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, byte, ArrayView<byte>>(EvaluateCandidateMaskKernel));
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acc => acc.LoadAutoGroupedStreamKernel<Index1D, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, ArrayView<byte>, byte, ArrayView<byte>>(DivisorByDivisorKernels.EvaluateCandidateMaskKernel));
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public int GpuBatchSize
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{
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@@ -535,20 +535,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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return Math.Min((1UL << (int)(prime - 1UL)) - 1UL, divisorLimit);
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}
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private static void CheckKernel(Index1D index, ArrayView<MontgomeryDivisorData> divisors, ArrayView<ulong> exponents, ArrayView<byte> hits)
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{
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MontgomeryDivisorData divisor = divisors[index];
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ulong modulus = divisor.Modulus;
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if (modulus <= 1UL || (modulus & 1UL) == 0UL)
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{
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hits[index] = 0;
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return;
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}
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ulong exponent = exponents[index];
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hits[index] = ULongExtensions.Pow2MontgomeryModWindowedKernel(exponent, divisor, keepMontgomery: false) == 1UL ? (byte)1 : (byte)0;
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}
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public sealed class DivisorScanSession : IMersenneNumberDivisorByDivisorTester.IDivisorScanSession
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{
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private readonly MersenneNumberDivisorByDivisorGpuTester _owner;
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@@ -636,137 +622,6 @@ public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDiv
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_owner._sessionPool.Add(this);
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}
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}
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private static void ComputeRemainderDeltasKernel(Index1D index, ArrayView<ulong> gaps, ArrayView<byte> deltas, byte modulus)
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{
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deltas[index] = (byte)(gaps[index] % modulus);
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}
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private static void AccumulateRemaindersKernel(
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Index1D index,
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ArrayView<byte> deltas,
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ArrayView<byte> remainders,
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byte baseRemainder,
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byte modulus)
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{
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int globalIndex = index;
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int length = (int)remainders.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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int localIndex = Group.IdxX;
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int groupSize = Group.Dimension.X;
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var shared = SharedMemory.GetDynamic<int>();
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shared[localIndex] = deltas[globalIndex];
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Group.Barrier();
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int offset = 1;
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int mod = modulus;
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while (offset < groupSize)
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{
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int addend = 0;
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if (localIndex >= offset)
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{
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addend = shared[localIndex - offset];
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}
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Group.Barrier();
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if (localIndex >= offset)
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{
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int sum = shared[localIndex] + addend;
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if (sum >= mod)
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{
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sum %= mod;
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}
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shared[localIndex] = sum;
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}
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Group.Barrier();
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offset <<= 1;
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}
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if (globalIndex == 0)
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{
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remainders[0] = baseRemainder;
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return;
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}
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int remainder = baseRemainder + shared[localIndex];
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if (remainder >= mod)
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{
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remainder %= mod;
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}
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remainders[globalIndex] = (byte)remainder;
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}
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private static void EvaluateCandidateMaskKernel(
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Index1D index,
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ArrayView<byte> remainder10,
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ArrayView<byte> remainder8,
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ArrayView<byte> remainder5,
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ArrayView<byte> remainder3,
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byte lastIsSevenFlag,
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ArrayView<byte> mask)
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{
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int globalIndex = index;
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int length = (int)mask.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 value10 = remainder10[globalIndex];
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bool accept10;
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if (lastIsSevenFlag != 0)
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{
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accept10 = value10 == 3 || value10 == 7 || value10 == 9;
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}
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else
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{
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accept10 = value10 == 1 || value10 == 3 || value10 == 7 || value10 == 9;
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}
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if (!accept10)
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{
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mask[globalIndex] = 0;
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return;
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}
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byte value8 = remainder8[globalIndex];
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if (value8 != 1 && value8 != 7)
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{
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mask[globalIndex] = 0;
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return;
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}
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if (remainder3[globalIndex] == 0 || remainder5[globalIndex] == 0)
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{
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mask[globalIndex] = 0;
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return;
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}
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mask[globalIndex] = 1;
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}
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private 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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if (modulus <= 1UL || (modulus & 1UL) == 0UL)
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{
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results[index] = 0UL;
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return;
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}
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ulong exponent = exponents[index];
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results[index] = ULongExtensions.Pow2MontgomeryModWindowedKernel(exponent, divisor, keepMontgomery: true);
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}
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public ulong DivisorLimit
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{
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