Merge pull request #32 from mlemanczyk/codex/review-evenperfectbitscanner-for-overflow-checks
Add overflow checks to GPU residue and divisor scanners
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-59
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@@ -95,7 +95,8 @@ public sealed class MersenneNumberDivisorGpuTester
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for (k2 = 1UL; k2 <= limit; k2++)
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{
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kMul2 = (UInt128)k2 << 1;
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d = kMul2 * p + UInt128.One;
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UInt128 candidate = checked(kMul2 * p);
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d = checked(candidate + UInt128.One);
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if (p < 64UL && d == ((UInt128)1 << (int)p) - UInt128.One)
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{
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continue;
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@@ -41,72 +41,78 @@ public class MersenneNumberResidueGpuTester(bool useGpuOrder)
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ulong step5 = ((exponent % 5UL) << 1) % 5UL;
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GpuUInt128 twoPGpu = (GpuUInt128)twoP;
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var orderBuffer = accelerator.Allocate1D<ulong>(batchSize);
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ulong[] orderArray = ArrayPool<ulong>.Shared.Rent(batchSize);
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UInt128 batchSize128 = (UInt128)batchSize;
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UInt128 limitInclusive = overallLimit + UInt128.One;
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Span<ulong> orders = orderArray.AsSpan(0, batchSize);
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try
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{
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for (UInt128 setIndex = UInt128.Zero; setIndex < setCount && Volatile.Read(ref isPrime); setIndex++)
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var orderBuffer = accelerator.Allocate1D<ulong>(batchSize);
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ulong[] orderArray = ArrayPool<ulong>.Shared.Rent(batchSize);
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UInt128 batchSize128 = (UInt128)batchSize;
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UInt128 limitInclusive = overallLimit == UInt128.MaxValue
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? overallLimit
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: checked(overallLimit + UInt128.One);
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Span<ulong> orders = orderArray.AsSpan(0, batchSize);
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try
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{
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UInt128 setOffset = perSetLimit * setIndex;
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UInt128 setStart = setOffset + UInt128.One;
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if (setStart >= limitInclusive)
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{
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break;
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}
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for (ulong setIndex = 0; setIndex < setCount && Volatile.Read(ref isPrime); setIndex++)
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{
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UInt128 setOffset = checked(perSetLimit * (UInt128)setIndex);
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UInt128 setStart = checked(setOffset + UInt128.One);
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if (setStart >= limitInclusive)
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{
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break;
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}
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UInt128 setLimitExclusive = setOffset + perSetLimit + UInt128.One;
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if (setLimitExclusive > limitInclusive)
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{
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setLimitExclusive = limitInclusive;
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}
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UInt128 setLimitExclusive = checked(setOffset + perSetLimit);
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setLimitExclusive = setLimitExclusive >= limitInclusive
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? limitInclusive
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: checked(setLimitExclusive + UInt128.One);
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if (setLimitExclusive > limitInclusive)
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{
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setLimitExclusive = limitInclusive;
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}
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UInt128 kStart = setStart;
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while (kStart < setLimitExclusive && Volatile.Read(ref isPrime))
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{
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UInt128 remaining = setLimitExclusive - kStart;
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int currentSize = remaining > batchSize128 ? batchSize : (int)remaining;
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if (currentSize <= 0)
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{
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break;
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}
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orders = orderArray.AsSpan(0, currentSize);
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UInt128 kStart = setStart;
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while (kStart < setLimitExclusive && Volatile.Read(ref isPrime))
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{
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UInt128 remaining = checked(setLimitExclusive - kStart);
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int currentSize = remaining > batchSize128 ? batchSize : (int)remaining;
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if (currentSize <= 0)
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{
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break;
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}
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orders = orderArray.AsSpan(0, currentSize);
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UInt128 q = twoP * kStart + UInt128.One;
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q.Mod10_8_5_3(out ulong q0m10, out ulong q0m8, out ulong q0m5, out ulong q0m3);
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var ra = new ResidueAutomatonArgs(q0m10, step10, q0m8, step8, q0m3, step3, q0m5, step5);
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UInt128 q = checked(twoP * kStart);
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q = checked(q + UInt128.One);
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q.Mod10_8_5_3(out ulong q0m10, out ulong q0m8, out ulong q0m5, out ulong q0m3);
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var ra = new ResidueAutomatonArgs(q0m10, step10, q0m8, step8, q0m3, step3, q0m5, step5);
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kernel(currentSize, exponent, twoPGpu, (GpuUInt128)kStart, last, 0UL,
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ra, orderBuffer.View, smallCyclesView, primeViews.LastOne, primeViews.LastSeven, primeViews.LastOnePow2, primeViews.LastSevenPow2);
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kernel(currentSize, exponent, twoPGpu, (GpuUInt128)kStart, last, 0UL,
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ra, orderBuffer.View, smallCyclesView, primeViews.LastOne, primeViews.LastSeven, primeViews.LastOnePow2, primeViews.LastSevenPow2);
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accelerator.Synchronize();
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orderBuffer.View.CopyToCPU(ref MemoryMarshal.GetReference(orders), currentSize);
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if (!Volatile.Read(ref isPrime))
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{
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break;
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}
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accelerator.Synchronize();
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orderBuffer.View.CopyToCPU(ref MemoryMarshal.GetReference(orders), currentSize);
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if (!Volatile.Read(ref isPrime))
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{
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break;
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}
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for (int i = 0; i < currentSize; i++)
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{
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if (orders[i] != 0UL)
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{
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Volatile.Write(ref isPrime, false);
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break;
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}
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}
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for (int i = 0; i < currentSize; i++)
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{
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if (orders[i] != 0UL)
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{
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Volatile.Write(ref isPrime, false);
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break;
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}
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}
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kStart += batchSize128;
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}
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}
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}
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finally
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{
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ArrayPool<ulong>.Shared.Return(orderArray);
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orderBuffer.Dispose();
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gpuLease.Dispose();
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}
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kStart = checked(kStart + batchSize128);
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}
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}
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}
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finally
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{
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ArrayPool<ulong>.Shared.Return(orderArray);
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orderBuffer.Dispose();
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gpuLease.Dispose();
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}
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divisorsExhausted = true;
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}
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