Numerical root-finding in Typst.
Overview
epsilon is a package which allows numerical root finding directly in Typst. It supports various methods such as Newton, bisection and secant.
The easiest way to use this package is the find-root function. It automatically selects a method based on the provided arguments. However, you can also call the respective methods directly if you want to. See the following example
#import "@preview/epsilon:0.1.0": *
// Find the root of $f(x) = cos(x) - x$ using the bisection method implicitly
// returns 0.7390851336531341
#find-root(x => calc.cos(x) - x, 0, x1: 2)
// Find the root of $f(x) = cos(x) - x$ using the Newton method implicitly
// returns 0.7390851332151607
#find-root(x => calc.cos(x) - x, 0, f-d: x => - calc.sin(x) - 1)
// Find the root of $f(x) = cos(x) - x$ using the secant method explicitly
// returns 0.7390851332151612
#secant(x => calc.cos(x) - x, 0, 2)
For more detailed examples see the manual. It also includes detailed documentation of all the functions.
Supported Methods
- bisection
- Newton
- secant