Last active
October 6, 2023 19:56
-
-
Save SimonMeskens/aadd57b4adc952b2e878016d0b81598b to your computer and use it in GitHub Desktop.
ADTs in JavaScript
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
import { adt } from "./adt.js"; | |
const double = x => x * 2; | |
{ | |
// Create a value that's either Right or Left | |
const either = adt(["left", "right"]); | |
// `left` and `right` are the constructors | |
const { left, right } = either; | |
// Extend the Either with `map` and `extract` | |
Object.assign(either.prototype, { | |
map(transform) { | |
return either.match(this, { left, right: x => right(transform(x)) }); | |
}, | |
extract() { | |
return either.match(this, { left: x => x, right: x => x }); | |
} | |
}); | |
const tests = [ | |
left("whoops") | |
.map(double) | |
.extract(), // Expected: "whoops" | |
right(21) | |
.map(double) | |
.extract() // Expected: 42 | |
]; | |
console.log(...tests); | |
} | |
{ | |
// Create a LISP style List, which can be constructed from a head and a tail | |
const list = adt(["nil", "cons"]); | |
const { nil, cons } = list; | |
// Handy utility to go from array -> List | |
list.from = arr => [...arr].reverse().reduce((tail, head) => cons(head, tail), nil()); | |
// Extend the List with `map` and `toArray` | |
Object.assign(list.prototype, { | |
map(transform) { | |
return list.match(this, { | |
nil, | |
cons: (head, tail) => cons(transform(head), tail.map(transform)) | |
}); | |
}, | |
toArray() { | |
return list.match(this, { | |
nil: () => [], | |
cons: (head, tail) => [head, ...tail.toArray()] | |
}); | |
} | |
}); | |
const tests = [ | |
list | |
.from([1, 2, 3]) | |
.map(double) | |
.toArray() // Expected: [2, 4, 6] | |
]; | |
console.log(...tests); | |
} | |
{ | |
// Generic extend function that adds `map` and `extract` to any Maybe | |
const extend = ({ nothing, just, match }) => ({ | |
nothing, | |
just, | |
match, | |
map: (option, transform) => | |
match(option, { nothing, just: x => just(transform(x)) }), | |
extract: option => match(option, { nothing: () => undefined, just: x => x }) | |
}); | |
{ | |
// Very simple Maybe implementation | |
const { map, extract, nothing, just } = extend({ | |
nothing: () => undefined, | |
just: x => x, | |
match: (option, { nothing, just }) => | |
option == undefined ? nothing() : just(option) | |
}); | |
const tests = [ | |
extract(map(nothing(), double)), // Expected: undefined | |
extract(map(just(21), double)) // Expected: 42 | |
]; | |
console.log(...tests); | |
} | |
{ | |
// Maybe implementation using ADT | |
const { map, extract, nothing, just } = extend(adt(["nothing", "just"])); | |
const tests = [ | |
extract(map(nothing(), double)), // Expected: undefined | |
extract(map(just(21), double)) // Expected: 42 | |
]; | |
console.log(...tests); | |
} | |
} | |
{ | |
// Generic extend function that adds `length`, `map` and `from` (array) to any list | |
const extend = ({ nil, cons, match }) => { | |
const length = list => | |
match(list, { nil: () => 0, cons: (head, tail) => 1 + length(tail) }); | |
const map = (list, transform) => | |
match(list, { | |
nil, | |
cons: (head, tail) => cons(transform(head), map(tail, transform)) | |
}); | |
// Constructing lists is easier inside out | |
const from = arr => | |
[...arr].reverse().reduce((tail, head) => cons(head, tail), nil()); | |
return { nil, cons, match, length, map, from }; | |
}; | |
{ | |
// Very simple array backed list implementation | |
const { length, map, from } = extend({ | |
nil: () => [], | |
cons: (head, tail) => [head, ...tail], | |
match: (list, { nil, cons }) => | |
list.length === 0 ? nil() : cons(list[0], list.slice(1)) | |
}); | |
const tests = [ | |
length(from([0, 1, 2])), // Expected: 3 | |
map(from([1, 2, 3]), double) // Expected: [2, 4, 6] | |
]; | |
console.log(...tests); | |
} | |
{ | |
// List implementation using ADT | |
const { length, map, from } = extend(adt(["nil", "cons"])); | |
const tests = [ | |
length(from([0, 1, 2])), // Expected: 3 | |
map(from([1, 2, 3]), double) // Expected: [2, 4, 6] | |
]; | |
console.log(...tests); | |
} | |
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
export const adt = labels => { | |
const prototype = {}; | |
const constructors = labels | |
.map(label => [ | |
label, | |
(...values) => | |
Object.assign(Object.create(prototype), { | |
[label]: values | |
}) | |
]) | |
.reduce((dict, [label, constructor]) => ({ ...dict, [label]: constructor }), {}); | |
const match = (adt, cases) => | |
Object.entries(adt) | |
.map(([label, values]) => cases[label](...values)) | |
.shift(); | |
return { ...constructors, match, prototype }; | |
}; |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment