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Bibliographic Details
Main Author: Dombagahawaththa, Kaveesha Methsara Dombagahawaththa
Format: Recurso digital
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Published: Zenodo 2026
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Online Access:https://doi.org/10.5281/zenodo.20210567
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  • <p>This work introduces KAVEESHA K30 v1.0, a sqrt-free rational minimax approximation for the complete elliptic integral E(k). The formula achieves 1.143e-17 peak error vs Mathematica with 38 CPU cycles, 0 sqrt, 0 branches, and 0 pow, outperforming Boost.Math 1.88 by 5.8x speedup and 4.3x accuracy. Full C99 implementation, 64-bit coefficients, and Mathematica verification code included. Attribution required to ORCID 0009-0004-2223-5377 under MIT License.</p>