Sumfold [DRAFT: NOT READY FOR REVIEW]#209
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Use borrowed/in-place field addition while accumulating rotated and shifted binary polynomial evaluations. These paths run once per relevant set bit across each virtual bit-op or shifted bit-slice column, so avoiding clones removes a large amount of temporary field-element copying without changing the immediate-reduction semantics.
Add a narrow delayed modular reduction path for 4-limb Montgomery fields and use it in the hot binary polynomial evaluation paths. The new `zinc_utils::delayed_reduction` module introduces: - `MontgomeryLimbs` for exposing reduced Montgomery-form field limbs. - `DelayedModularReduction` for sum-only delayed accumulation. - `BarrettReductionParams` with const `mu` computation. - A `Uint<5>` accumulator implementation for summing 4-limb field elements. - An optimized `barrett_reduce_5` path for reducing bounded 5-limb sums. - Implementations for both `MontyField<4>` and `ConstMontyField<_, 4>`. This lets binary polynomial evaluation accumulate many selected `eq(r, b)` values as raw Montgomery limbs, then perform one Barrett reduction per output coefficient instead of doing a field reduction after every conditional add. Apply the accumulator to two hot paths: - Lifted binary polynomial evaluation in the protocol layer. - Streaming shifted bit-slice evaluation in the PIOP booleanity code. The lifted binary evaluation now builds the `eq(point, *)` table once, scans the binary trace rows, conditionally adds `eq_b` into per-bit `Uint<5>` accumulators, and reduces once per bit coefficient. The shifted bit-slice streaming path uses the same delayed accumulation strategy while continuing to avoid materializing shifted bit-slice MLE buffers. Use `crypto_bigint::Uint<5>` directly as the accumulator rather than a custom wide-limb wrapper, keeping the representation aligned with the rest of the integer code. The Barrett reducer is specialized to the actual accumulator width, avoiding the unused sixth limb from the earlier 6-limb reducer shape. Also extend the relevant protocol prover/verifier bounds so the optimized paths can access Montgomery limbs, and generalize `ConstMontyField` projection support through `FromRef`.
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