Agena

agena >> `The Power of Procedural Programming` 6.8.2 Kashan, February 21, 2026 - `dual.generate` can now create functions taking two arguments, by passing the required partial derivatives. Check the Agena Primer, Chapter 11.7, for details. - Tweaked `dual.psi`, `dual.generate` and the `lngamma` operator for dual numbers a little bit. - The third derivatives that `dual.beta` and `dual.arctan2` returned were faulty. This has been fixed. Both functions now require two third-order dual numbers as input. - The accuracy of `expx2` with complex numbers has been improved a tiny bit. - `calc.Psi` has been renamed to just `psi` and `calc.invPsi` to `invpsi`, the latter now also internally computing with 80-bit precision. Aliases have been provided to ensure backward compatibility. - `long.psi` now accepts two arguments n, x, and computes: n=0: The Psi (digamma) function, equal to long.psi(x). n=1: The trigamma function. n=2: The tetragamma function. n=3: The pentagamma function. - `long.trigamma`, `long.tetragamma`, `long.pentagamma` have been deprecated but aliases have been provided for backward compatibility. - New `long.isirregular` checks for `undefined`, +/-`infinity` and whether the (absolute) argument is 2^64 or greater. - On OpenSUSE, `arctan2` when given argument 0 + k*I, with k < 0, unintentionally returned a negated result. This has been fixed.