Open Source Elixir Mathematics Software

Witchcraft brings algebraic and category-theoretic abstractions—like semigroups, monoids, functors, applicatives, and monads—to Elixir in a pragmatic, protocol-driven way. It introduces a set of typeclass-style protocols and laws so data types can declare the operations they support and have those behaviors verified. The library encourages composability and pure transformations, letting you build pipelines where effects are modeled explicitly rather than hidden in ad-hoc helpers. Because the implementation leans on Elixir protocols, you can extend Witchcraft’s abstractions to your own structs without invasive inheritance hierarchies. It promotes predictable, law-abiding behavior through property-based testing helpers and a focus on algebraic reasoning. Teams reach for Witchcraft when they want to structure business logic with reusable, mathematically grounded patterns that remain idiomatic to the BEAM.

Library for easy and nice (micro) benchmarking in Elixir. Benchee allows you to compare the performance of different pieces of code at a glance. It is also versatile and extensible, relying only on functions. There are also a bunch of plugins to draw pretty graphs and more! Benchee runs each of your functions for a given amount of time after an initial warmup, it then measures their run time and optionally memory consumption. It then shows different statistical values like average, standard deviation etc. The aforementioned plugins like benchee_html make it possible to generate nice-looking HTML reports, where individual graphs can also be exported as PNG images. first runs the functions for a given warmup time without recording the results, to simulate a "warm"/running system. Plugin/extensible-friendly architecture so you can use different formats to display benchmarking results as HTML, markdown, JSON, and more.