Agena

agena >> `The Power of Procedural Programming` 6.5.5 Catahoula, December 22, 2025 - `mpf.new` now accepts an MPFR floating-point number as input and just returns it. - Likewise, `mp.uint` and `mp.sint` accept GMP integers as input and just return them. - When given no argument, `long.eps` did not return the machine epsilon value but a mathematical epsilon value. This has been fixed. - The new `unimath` (universal math) package provides functions that work with either ordinary Agena numbers, MAPM, MPFR or long 80-bit precision floating-point numbers. You should have already initialised the `mapm` or `mpf` package if needed. The functions are: unimath.max(x, y) Returns the maximum of x, y, which must be of the same type. unimath.min(x, y) Returns the minimum of x, y, which must be of the same type. unimath.approx(x, y [, eps]) Checks whether two numbers are approximately equal taking the magnitude of the input into account. The function works like `approx`. By default, eps is Eps. x and y must be of the same type. unimath.zeroin(f, a, b [, eps]) Determines the root of the univariate function f over the interval [a, b]. The accuracy can be controlled by the optional argument eps, which defaults to Eps. a, b and optionally eps must be of the same type. The function works like `calc.zeroin`. unimath.xpdiff(f, x [, deriv = <n>] [, eps=<value>] [, delta=<value>] ) Computes the n'th derivative of univariate function f at point x. n may be a value from 0 to 5, with 1 the default, for the first derivative. If deriv is zero, the function just returns f(x). The function works like `calc.xpdiff`, check the Agena Reference for the `eps` and `delta` options Examples: > import mapm, mpf, unimath > mapm.xdigits(40) > mapm.Pi: 3.1415926535897932384626433832795028841972 > unimath.zeroin(<: x -> sin(x) :>, mapm.new(3), mapm.new(4)): 3.1415926535897932384626433832795028845877 > unimath.xpdiff(<: x -> sin(x) :>, mpf.new(1)): mpf(.5403023058681269184051664841845724091374) > cos(mpf.new(1)): mpf(.5403023058681397174009366074429766037334)