Agena

Agena is an easy-to-learn procedural programming language suited to be used in scientific, educational, linguistic, and many other applications, including scripting.

• The new keyword `procname` refers to the function in which it is used. You can thus programme recursive procedures without using its real name in the procedure body but with this reference. Note that `procname` refers to the function and does not return its name as a string.
• `binomial` has been extended to also process negative arguments and also floats.
• `fact` now accepts any rational argument that is non-integral.
• The second argument to `root` is now optional and by default is 2.
• Some bitwise operations on Solaris 10, DOS and Windows did not return the same results as on other platforms. This has been fixed (int64_t had four bytes instead of eight).
• The new `hypot3` function returns sqrt(1
• x^2), avoiding under- and overflows.
• The new function `calc.chebycoeffs` computes Chebyshev coefficients.
• The new function `calc.cheby` returns a function to compute the Chebyshev interpolant of a univariate or multivariate function, and optionally computes a derivative. Depending on the type of function to be differentiated it can be faster and more accurate than `calc.xpdiff` if you provide the proper window parameters.
• The new procedure `calc.savgol` computes a SavitzkyGolay filter for a univariate function f to smooth its data. `calc.savgolcoeffs` computes the SavitzkyGolay coefficients.
• The new procedure `calc.smoothstep` computes a sigmoid-like interpolation and clamping function.
• The new procedure `calc.sigmoid` computes the sigmoid function, and `calc.logistic` the logistic function.
• The new procedure `calc.gd` computes the Gudermannian function.
• The new function `hashes.digitsum` omputes the digit sum of a number to a given base.
• Improved error messages when comparing values of different types.
• Improved error messages of the `io` and `os` libraries.
• `debug.getinfo` now also checks whether the parameter list of a function contains `?`, i.e. the varargs placeholder, with the 'v' option. It is indicated by the 'varargs' key. If the parameters of a function include the `?` placeholder, the 'arity' entry denotes the number of all `static` parameters (without a count to `?`) instead of -2147483648.
• Moved and renamed some C API functions from lapi.c to agnxlib.c for consistency: agnL_fillarray, agnL_islinalgvector, agnL_onexit.
• The new C API function `agnL_fncall` conventiently runs a numerical Agena function and returns its result as a lua_Number.
• The `Crash Course` has been updated.