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Accelerate BN254 CRT reconstruction and export - #178
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Reduce the cost of converting small-prime FFT results back into BN254 coefficients through fused normalization and certified direct Montgomery reconstruction.
• Fold CRT cofactor inverses into the cached inverse-transform normalization, removing a modular multiplication per residue.
• Accumulate precomputed Montgomery export weights and use an integer interval certificate to prove both the centering correction and the coefficient bound.
• Export certified results through one Montgomery reduction. Ambiguous cases retain exact wide reconstruction and the existing bound checks.
• Apply the optimized path to ordinary, prepared, cyclic, and fused matrix products.
• Fix register exhaustion in the x86 Montgomery reducer by addressing its constants through one shared pointer, supporting default-visibility macOS builds in Release and Debug.
Native x86 benchmarks at degree 2048, using one core and medians of three measured trials, show 9.2–9.8× faster CRT reconstruction/export. Complete operations measured in clean production builds improve by 1.57–2.53×.