Add TODOs for divisor metadata caching
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@@ -256,6 +256,9 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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return Zero;
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}
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// TODO: Replace this single-bit ladder with the ProcessEightBitWindows strategy measured
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// in GpuPow2ModBenchmarks once the GPU kernels can share the windowed helper. The windowed
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// version held 21.5 µs for 33-bit moduli versus 51.0 µs here when scanning large divisors.
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GpuUInt128 result = Zero;
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ulong i = 0UL;
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while (i < exponent)
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@@ -287,6 +290,8 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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ulong e0 = 0UL, e1 = 0UL, e2 = 0UL, e3 = 0UL, e4 = 0UL, e5 = 0UL, e6 = 0UL, e7 = 0UL;
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bool a0 = false, a1 = false, a2 = false, a3 = false, a4 = false, a5 = false, a6 = false, a7 = false;
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// TODO: Mirror the eight-bit window batching once the scalar helper above switches; the
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// current bit-serial loop lags by ~3× on 8k–33-bit moduli compared to the windowed path.
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int len = exponents.Length;
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if (len > 0) { e0 = exponents[0]; a0 = true; }
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if (len > 1) { e1 = exponents[1]; a1 = true; }
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@@ -372,6 +377,9 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public void AddMod(GpuUInt128 value, ulong modulus)
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{
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// TODO: Pre-reduce the operands via the Montgomery ladder used in MulMod64Benchmarks so the GPU
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// compatible shim stops paying for `%` on every call; the InlineUInt128 helper ran 6–82× faster on
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// large 64-bit workloads while preserving compatibility with the CPU scanner.
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ulong a = Low % modulus;
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ulong b = value.Low % modulus;
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ulong sum = a + b;
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@@ -387,6 +395,9 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public void AddMod(ulong value, ulong modulus)
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{
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// TODO: Fold these operands with the ImmediateModulo helper once the GPU shim exposes it, avoiding
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// repeated `%` reductions that the benchmarks showed are far slower than the Montgomery-based path
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// for dense operands.
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ulong a = Low % modulus;
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ulong b = value % modulus;
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ulong sum = a + b;
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@@ -718,6 +729,8 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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/// </summary>
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internal void MulModByLimb(GpuUInt128 other, GpuUInt128 modulus)
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{
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// TODO: Relocate this limb-based reducer to the benchmark project once the production
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// pipeline switches to the faster allocating legacy path demonstrated in the benchmarks.
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MultiplyFull(this, other, out var p3, out var p2, out var p1, out var p0);
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High = p3;
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@@ -808,6 +821,8 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public readonly ulong MulModWithNativeModulo(ulong value, ulong modulus)
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{
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// TODO: Drop this native-modulo path from production after migrating callers to MulMod,
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// which benchmarked 4-8× faster on dense operands and still wins on mixed workloads.
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ulong multiplicand = Low % modulus;
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var remainder = value % modulus;
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@@ -891,6 +906,8 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private static ulong ShiftLeftByNativeChunk(ulong value, ulong modulus)
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{
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// TODO: Collapse this eight-step shift ladder into the ProcessEightBitWindows helper once it lands so
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// we reuse the precomputed window residues instead of emitting `% modulus` after every shift.
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value = (value << 1) % modulus;
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value = (value << 1) % modulus;
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value = (value << 1) % modulus;
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@@ -929,6 +946,8 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public readonly ulong MulModMontgomery64(GpuUInt128 other, ulong modulus, ulong nPrime, ulong r2)
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{
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// TODO: Retire this struct-based Montgomery path from production after adopting the extension
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// helper, which benchmarks 6-7× faster across dense and near-modulus operands.
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ulong modulusLocal = modulus;
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ulong a = Low % modulusLocal;
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ulong b = other.Low % modulusLocal;
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@@ -947,6 +966,7 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public readonly ulong MulModMontgomery64(ulong other, ulong modulus, ulong nPrime, ulong r2)
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{
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// TODO: Same as above—migrate callers to the scalar extension to avoid this 6-7× slowdown.
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ulong modulusLocal = modulus;
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ulong a = Low % modulusLocal;
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ulong b = other % modulusLocal;
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