Improve by-divisor scanning concurrency
This commit is contained in:
Marek Lemańczyk committed
1 parent
d117921c3a
commit
bee6b69793
1 file changed
+148
-120
+148
-120
@@ -3,6 +3,7 @@ using System.Globalization;
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using System.Numerics;
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using System.Runtime.CompilerServices;
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using System.Text;
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using System.Threading;
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using Open.Collections;
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using Open.Numeric.Primes;
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using PerfectNumbers.Core;
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@@ -54,6 +55,11 @@ internal static class Program
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private static double _zeroFracConj = -1.0; // disabled when < 0
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private static int _maxZeroConj = -1; // disabled when < 0
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private const int ByDivisorStateActive = 0;
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private const int ByDivisorStateComposite = 1;
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private const int ByDivisorStateCompleted = 2;
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private const int ByDivisorStateCompletedDetailed = 3;
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private struct ByDivisorPrimeState
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{
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internal ulong Prime;
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@@ -793,39 +799,73 @@ internal static class Program
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return;
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}
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object stateLock = new();
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int stateCount = states.Count;
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ulong[] primeValues = new ulong[stateCount];
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ulong[] allowedMaxValues = new ulong[stateCount];
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int[] stateFlags = new int[stateCount];
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for (int i = 0; i < stateCount; i++)
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{
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var state = states[i];
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primeValues[i] = state.Prime;
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allowedMaxValues[i] = state.AllowedMax;
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}
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states.Clear();
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ulong divisorLimit = _byDivisorTester!.DivisorLimit;
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ulong nextDivisor = 3UL;
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bool divisorsExhausted = false;
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ulong finalDivisorValue = 3UL;
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int remainingStates = states.Count;
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long finalDivisorBits = unchecked((long)3UL);
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int divisorsExhaustedFlag = 0;
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int finalizerState = 0;
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int finalizationCompleted = 0;
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int remainingStates = stateCount;
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Task[] workers = new Task[Math.Max(1, threadCount)];
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for (int i = 0; i < workers.Length; i++)
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for (int workerIndex = 0; workerIndex < workers.Length; workerIndex++)
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{
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workers[i] = Task.Run(() =>
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workers[workerIndex] = Task.Run(() =>
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{
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using var session = _byDivisorTester!.CreateDivisorSession();
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byte[] hitsBuffer = ArrayPool<byte>.Shared.Rent(states.Count);
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ulong[] primeBuffer = ArrayPool<ulong>.Shared.Rent(states.Count);
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int[] indexBuffer = ArrayPool<int>.Shared.Rent(states.Count);
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List<PendingResult> completions = new(states.Count);
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List<PendingResult> composites = new(states.Count);
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byte[] hitsBuffer = ArrayPool<byte>.Shared.Rent(stateCount);
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ulong[] primeBuffer = ArrayPool<ulong>.Shared.Rent(stateCount);
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int[] indexBuffer = ArrayPool<int>.Shared.Rent(stateCount);
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List<PendingResult> completions = new(stateCount);
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List<PendingResult> composites = new(stateCount);
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try
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{
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while (true)
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{
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ulong divisor;
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int activeCount;
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bool shouldTerminate;
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bool hasWork;
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lock (stateLock)
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if (Volatile.Read(ref remainingStates) == 0)
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{
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hasWork = TryAcquireDivisorWork(states, divisorLimit, primeBuffer, indexBuffer, completions, ref nextDivisor, ref divisorsExhausted, ref finalDivisorValue, ref remainingStates, out divisor, out activeCount, out shouldTerminate);
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if (Volatile.Read(ref finalizationCompleted) != 0 || Volatile.Read(ref divisorsExhaustedFlag) == 0)
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{
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break;
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}
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}
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bool exhausted;
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ulong divisor = AcquireNextDivisor(ref nextDivisor, divisorLimit, ref divisorsExhaustedFlag, ref finalDivisorBits, out exhausted);
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if (divisor == 0UL)
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{
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if (!exhausted)
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{
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if (Volatile.Read(ref remainingStates) == 0)
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{
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break;
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}
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Thread.Yield();
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continue;
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}
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if (Interlocked.CompareExchange(ref finalizerState, 1, 0) == 0)
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{
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completions.Clear();
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FinalizeRemainingStates(primeValues, allowedMaxValues, stateFlags, ref remainingStates, ref finalDivisorBits, completions);
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if (completions.Count > 0)
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{
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@@ -837,9 +877,17 @@ internal static class Program
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completions.Clear();
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}
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if (!hasWork)
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Volatile.Write(ref finalizationCompleted, 1);
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}
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else
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{
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if (shouldTerminate)
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while (Volatile.Read(ref finalizationCompleted) == 0 && Volatile.Read(ref remainingStates) > 0)
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{
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Thread.Yield();
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}
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}
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if (Volatile.Read(ref remainingStates) == 0)
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{
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break;
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}
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@@ -847,15 +895,27 @@ internal static class Program
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continue;
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}
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int activeCount = BuildPrimeBuffer(divisor, primeValues, allowedMaxValues, stateFlags, primeBuffer, indexBuffer, completions, ref remainingStates);
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if (completions.Count > 0)
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{
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foreach (PendingResult result in completions)
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{
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PrintResult(result.Prime, searchedMersenne: true, detailedCheck: result.DetailedCheck, passedAllTests: result.PassedAllTests);
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}
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completions.Clear();
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}
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if (activeCount == 0)
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{
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continue;
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}
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Span<byte> hitsSpan = hitsBuffer.AsSpan(0, activeCount);
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hitsSpan.Clear();
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session.CheckDivisor(divisor, primeBuffer.AsSpan(0, activeCount), hitsSpan);
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bool exitAfterIteration;
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composites.Clear();
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lock (stateLock)
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{
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for (int j = 0; j < activeCount; j++)
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{
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if (hitsSpan[j] == 0)
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@@ -864,25 +924,10 @@ internal static class Program
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}
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int index = indexBuffer[j];
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var state = states[index];
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if (state.Completed)
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if (Interlocked.CompareExchange(ref stateFlags[index], ByDivisorStateComposite, ByDivisorStateActive) == ByDivisorStateActive)
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{
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continue;
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}
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state.Completed = true;
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state.Composite = true;
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state.DetailedCheck = true;
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states[index] = state;
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remainingStates--;
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composites.Add(new PendingResult(state.Prime, state.DetailedCheck, false));
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}
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exitAfterIteration = remainingStates == 0;
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if (exitAfterIteration && !divisorsExhausted)
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{
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divisorsExhausted = true;
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finalDivisorValue = Math.Max(finalDivisorValue, nextDivisor);
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Interlocked.Decrement(ref remainingStates);
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composites.Add(new PendingResult(primeValues[index], detailedCheck: true, passedAllTests: false));
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}
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}
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@@ -892,11 +937,8 @@ internal static class Program
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{
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PrintResult(result.Prime, searchedMersenne: true, detailedCheck: result.DetailedCheck, passedAllTests: result.PassedAllTests);
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}
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}
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if (exitAfterIteration)
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{
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break;
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composites.Clear();
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}
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}
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}
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@@ -912,106 +954,92 @@ internal static class Program
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Task.WaitAll(workers);
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}
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private static bool TryAcquireDivisorWork(List<ByDivisorPrimeState> states, ulong divisorLimit, ulong[] primeBuffer, int[] indexBuffer, List<PendingResult> completions, ref ulong nextDivisor, ref bool divisorsExhausted, ref ulong finalDivisorValue, ref int remainingStates, out ulong divisor, out int activeCount, out bool shouldTerminate)
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private static ulong AcquireNextDivisor(ref ulong nextDivisor, ulong divisorLimit, ref int divisorsExhaustedFlag, ref long finalDivisorBits, out bool exhausted)
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{
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completions.Clear();
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ref long nextDivisorBits = ref Unsafe.As<ulong, long>(ref nextDivisor);
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while (true)
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{
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if (remainingStates == 0)
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if (Volatile.Read(ref divisorsExhaustedFlag) != 0)
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{
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divisor = 0UL;
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activeCount = 0;
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shouldTerminate = true;
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return false;
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exhausted = true;
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return 0UL;
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}
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if (divisorsExhausted || nextDivisor > divisorLimit)
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long currentBits = Volatile.Read(ref nextDivisorBits);
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ulong currentValue = unchecked((ulong)currentBits);
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if (currentValue > divisorLimit)
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{
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if (!divisorsExhausted)
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if (Interlocked.CompareExchange(ref divisorsExhaustedFlag, 1, 0) == 0)
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{
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divisorsExhausted = true;
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finalDivisorValue = nextDivisor;
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Volatile.Write(ref finalDivisorBits, currentBits);
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}
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ulong completionDivisor = finalDivisorValue;
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for (int i = 0; i < states.Count; i++)
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exhausted = true;
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return 0UL;
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}
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ulong nextValue = currentValue + 2UL;
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long nextBits = unchecked((long)nextValue);
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if (Interlocked.CompareExchange(ref nextDivisorBits, nextBits, currentBits) == currentBits)
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{
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var state = states[i];
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if (state.Completed)
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exhausted = false;
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return currentValue;
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}
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}
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}
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private static int BuildPrimeBuffer(ulong divisor, ulong[] primeValues, ulong[] allowedMaxValues, int[] stateFlags, ulong[] primeBuffer, int[] indexBuffer, List<PendingResult> completions, ref int remainingStates)
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{
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int activeCount = 0;
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for (int i = 0; i < primeValues.Length; i++)
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{
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if (allowedMaxValues[i] < divisor)
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{
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if (Interlocked.CompareExchange(ref stateFlags[i], ByDivisorStateCompletedDetailed, ByDivisorStateActive) == ByDivisorStateActive)
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{
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Interlocked.Decrement(ref remainingStates);
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completions.Add(new PendingResult(primeValues[i], detailedCheck: true, passedAllTests: true));
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}
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continue;
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}
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if (Volatile.Read(ref stateFlags[i]) != ByDivisorStateActive)
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{
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continue;
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}
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state.Completed = true;
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state.DetailedCheck = completionDivisor > state.AllowedMax;
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states[i] = state;
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remainingStates--;
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completions.Add(new PendingResult(state.Prime, state.DetailedCheck, true));
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}
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divisor = 0UL;
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activeCount = 0;
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shouldTerminate = true;
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return false;
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}
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ulong divisorValue = nextDivisor;
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ulong candidate = divisorValue + 2UL;
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if (candidate <= divisorValue)
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{
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divisorsExhausted = true;
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finalDivisorValue = divisorValue;
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}
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else
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{
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nextDivisor = candidate;
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if (nextDivisor > divisorLimit)
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{
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divisorsExhausted = true;
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finalDivisorValue = nextDivisor;
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}
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}
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activeCount = 0;
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for (int i = 0; i < states.Count; i++)
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{
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var state = states[i];
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if (state.Completed)
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{
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continue;
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}
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if (state.AllowedMax < divisorValue)
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{
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state.Completed = true;
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state.DetailedCheck = true;
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states[i] = state;
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remainingStates--;
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completions.Add(new PendingResult(state.Prime, state.DetailedCheck, true));
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continue;
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}
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primeBuffer[activeCount] = state.Prime;
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primeBuffer[activeCount] = primeValues[i];
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indexBuffer[activeCount] = i;
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activeCount++;
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}
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if (activeCount == 0)
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return activeCount;
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}
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private static void FinalizeRemainingStates(ulong[] primeValues, ulong[] allowedMaxValues, int[] stateFlags, ref int remainingStates, ref long finalDivisorBits, List<PendingResult> completions)
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{
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if (completions.Count == 0)
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ulong finalDivisorValue = unchecked((ulong)Volatile.Read(ref finalDivisorBits));
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for (int i = 0; i < primeValues.Length; i++)
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{
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if (Volatile.Read(ref stateFlags[i]) != ByDivisorStateActive)
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{
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continue;
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}
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divisor = 0UL;
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shouldTerminate = remainingStates == 0 && (divisorsExhausted || nextDivisor > divisorLimit);
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return false;
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bool detailed = finalDivisorValue > allowedMaxValues[i];
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int newState = detailed ? ByDivisorStateCompletedDetailed : ByDivisorStateCompleted;
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if (Interlocked.CompareExchange(ref stateFlags[i], newState, ByDivisorStateActive) != ByDivisorStateActive)
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{
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continue;
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}
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divisor = divisorValue;
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shouldTerminate = false;
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return true;
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Interlocked.Decrement(ref remainingStates);
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completions.Add(new PendingResult(primeValues[i], detailedCheck: detailed, passedAllTests: true));
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}
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}
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