Agena

agena >> `The Power of Procedural Programming` 6.4.5 Catoosa, November 21, 2025 - `gamma` has been extended to compute the upper incomplete Gamma function when given two arguments. - New `calc.lambertw` approximates the Lambert W functions. - `calc.Ei`, which computes the exponential integral, has been extended and can now compute the generalized exponential integral. - The accuracy of `calc.Ei` and `calc.Ein` has been significantly improved with negative arguments. - New `calc.Li` computes the logarithmic integral, calc.Li(x) = calc.Ei(ln(x)). It provides an approximation to the number of primes less than x. - The functionality of `calc.zeta2` has been integrated into `calc.zeta`. `calc.zeta2` has been removed but an alias has been provided to ensure backward compatibility. - `calc.polylog` in parts returned wrong results. This has been fixed. - calc.polylog(0, 1) and calc.zeta(1) now return `undefined` instead of `infinity`. - calc.harmonic(0) now correctly returns `undefined` instead of zero. - Tweaked `modp` a bit. - `hashes.murmur2` and `hashes.murmur3` now accept an optional third argument for the seed. - New `hashes.murmur1` computes MarmurHash1. - New `hashes.murmur3128x86` uses a MurmurHash3-based algorithm optimised for 32-bit platforms. - Added aliases for the Maple functions csgn(), dilog(), evalf(), evalhf(), factorial(), Heaviside(), Re() and Im(), GAMMA() and lnGAMMA(), dilog(), LambertW(), Li(), pochhammer(), polylog(), Psi(), Shi(), Si(), Ssi(), surd() to the `maple` package. The wrong implementation of modp() has been removed from the `maple` package, as the correctly working version has become part of the base library. - The regression tests have been extended.