Add TODOs for divisor metadata caching
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@@ -199,6 +199,8 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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ArrayView1D<ulong, Stride1D.Dense> smallCycles)
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{
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ulong idx = (ulong)index.X;
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// TODO: Replace these `%` computations with the precomputed Mod3/Mod5 tables so GPU kernels reuse cached residues
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// instead of performing modulo operations that the benchmarks showed slower on wide sweeps.
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ulong idxMod3 = idx % 3UL;
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ulong idxMod5 = idx % 5UL;
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// residue automaton
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@@ -216,7 +218,9 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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}
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else
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{
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ulong step3 = ((exponent % 3UL) << 1) % 3UL;
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// TODO: Swap these `%` filters to the shared Mod helpers so the residue automaton matches the benchmarked
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// bitmask-based implementation for GPU workloads.
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ulong step3 = ((exponent % 3UL) << 1) % 3UL;
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ulong r3 = q0m3 + (step3 * idxMod3); r3 -= (r3 >= 3UL) ? 3UL : 0UL;
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if (r3 == 0UL)
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{
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@@ -264,6 +268,8 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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}
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ulong phi64 = phi.Low;
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// TODO: Replace these Pow2Mod calls with the ProcessEightBitWindows helper when the shared windowed
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// scalar implementation lands; benchmarks showed the windowed kernel trimming per-divisor runtime by ~2.4×.
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if (GpuUInt128.Pow2Mod(phi64, q) != GpuUInt128.One)
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{
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orders[index] = 0UL;
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@@ -299,6 +305,8 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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}
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ulong phi64 = phi.Low;
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// TODO: Once the ProcessEightBitWindows helper is available, switch this order kernel to that faster
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// Pow2Mod variant so cycle checks inherit the same gains observed in GpuPow2ModBenchmarks.
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GpuUInt128 pow = GpuUInt128.Pow2Mod(phi64, q);
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if (pow != GpuUInt128.One)
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{
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@@ -409,6 +417,8 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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return;
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}
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}
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// TODO: Swap Pow2Minus1Mod for the eight-bit window helper once the scalar version switches;
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// benchmarks show the windowed variant cuts large-divisor scans from ~51 µs to ~21 µs.
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if (GpuUInt128.Pow2Minus1Mod(exponent, q) != GpuUInt128.Zero)
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{
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orders[index] = 0UL;
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@@ -563,6 +573,8 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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}
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ulong phi64 = phi.Low;
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// TODO: Upgrade this pow2mod order kernel to the ProcessEightBitWindows helper once available so GPU residue
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// scans avoid the single-bit ladder that benchmarks found to be 2.3× slower on large exponents.
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if (GpuUInt128.Pow2Mod(phi64, q) != GpuUInt128.One)
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{
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return;
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@@ -639,6 +651,8 @@ public ref struct GpuKernelLease(IDisposable limiter, GpuContextLease gpu, Kerne
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return;
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}
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}
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// TODO: Replace this Pow2Mod check with the ProcessEightBitWindows helper once Pow2Minus1Mod adopts it;
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// residue order scans will then benefit from the same 2× speedup the benchmarked windowed kernel delivered.
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if (GpuUInt128.Pow2Mod(exponent, q) != GpuUInt128.One)
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{
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return;
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