Specials: Accurate, Hardware Accelerated, Special Functions in Mojo
Specials is a Mojo package designed to provide highly-optimized and hardware-acceleration-friendly special functions implementations for AI computing.
https://github.com/leandrolcampos/specials
6 Replies
Nice work! Could you add the 'erfinv' function?
Thanks for your interest! I added the
erfinv function to the project's roadmap.My attempt:
Take it if you want 🙂
BigInt in Specials
In today's update (2024-08-18), I introduced the
BigInt struct, an arbitrary, fixed bit-size integer with SIMD support, designed to enhance performance in arithmetic operations.
This struct is a building block for implementing DyadicFloat, a component for handling higher precision floating-point numbers. DyadicFloat will be essential for state-of-the-art numerical methods in elementary functions [1, 2], where inputs need to be cast and manipulated as higher precision floating-point numbers to achieve correctly rounded results.
[1] Lim, J. P., & Nagarakatte, S. (2022). One polynomial approximation to produce correctly rounded results of an elementary function for multiple representations and rounding modes. Proceedings of the ACM on Programming Languages, 6(POPL), 1-28.
[2] Sibidanov, A., Zimmermann, P., & Glondu, S. (2022, September). The CORE-MATH Project. In 2022 IEEE 29th Symposium on Computer Arithmetic (ARITH) (pp. 26-34). IEEE.This is huge @Leandro Campos awesome!