Skip to content

Instantly share code, notes, and snippets.

@pygy
Forked from Avaq/combinators.js
Created February 20, 2018 12:18
Show Gist options
  • Save pygy/4394fa337c718d2a2008a080460f9462 to your computer and use it in GitHub Desktop.
Save pygy/4394fa337c718d2a2008a080460f9462 to your computer and use it in GitHub Desktop.
Common combinators in JavaScript
const I = x => x;
const K = x => y => x;
const A = f => x => f(x);
const T = x => f => f(x);
const W = f => x => f(x)(x);
const C = f => y => x => f(x)(y);
const B = f => g => x => f(g(x));
const S = f => g => x => f(x)(g(x));
const P = f => g => x => y => f(g(x))(g(y));
const Y = f => (g => g(g))(g => f(x => g(g)(x)));
Name # Haskell Ramda Sanctuary Signature
identity I id identity I a → a
constant K const always K a → b → a
apply A ($) call A (a → b) → a → b
thrush T (&) applyTo T a → (a → b) → b
duplication W join² unnest² join² (a → a → b) → a → b
flip C flip flip flip (a → b → c) → b → a → c
compose B (.), fmap² map² compose, map² (b → c) → (a → b) → a → c
substitution S ap² ap² ap² (a → b → c) → (a → b) → a → c
psi P on on (b → b → c) → (a → b) → a → a → c
fix-point¹ Y fix (a → a) → a

¹) In JavaScript and other non-lazy languages, it is impossible to implement the Y-combinator. Instead a variant known as the applicative or strict fix-point combinator is implemented. This variant is sometimes rererred to as the Z-combinator.

²) Algebras like ap have different implementations for different types. They work like Function combinators only for Function inputs.

Note that when I use the word "combinator" in this context, it implies "function combinator in the untyped lambda calculus".

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment