04 장: 커링
Can't Live If Livin' Is without You
제 아버지는 사람이 그것들을 얻기 전까지 없이 살 수 있는 것들이 있다고 말씀하신 적이 있어요. 전자레인지나 스마트폰 등등이 그렇지요. 우리 중의 오래된 사람들은 인터넷 없는 삶을 사는 것을 기억할 것이에요. 저에게는 커링이 이 목록에 있습니다.
커링의 개념은 간단해요. 함수가 예상하는 인자보다 적은 인자로 함수를 부르는 것이지요. 그리고 이 때 함수는 나머지 인자를 함수를 받는 함수를 반환해요.
당신은 모든 인자를 한번에 넘겨주거나 단순히 인자를 하나씩 넘겨주는 것 중에 선택할 수 있어요.
const add = (x) => (y) => x + y;
const increment = add(1);
const addTen = add(10);
increment(2); // 3
addTen(2); // 12
우리는 인자를 하나 받고 함수를 반환하는 add
를 만들었어요. 이것을 호출해서 반환되는 함수는 클로져를 이용해 첫번째 인자를 기억하지요. 하지만 두 인자를 한번에 부르는 것은 좀 복잡한 일입니다. 그래서 우리는 함수를 조금 더 쉽게 만들고 호출할 수 있게 해주는 특별한 도우미 함수인 curry
를 사용해 볼 것입니다.
재미를 위해 몇가지 커리된 함수를 만들어볼까요. 이제부터 우리는 Appendix A - Essential Function Support에 정의된 curry
를 소환할것입니다.
const match = curry((what, s) => s.match(what));
const replace = curry((what, replacement, s) => s.replace(what, replacement));
const filter = curry((f, xs) => xs.filter(f));
const map = curry((f, xs) => xs.map(f));
여기서 사용한 패턴은 간단하지만 주목할 점이 있습니다. 저는 의도적으로 데이터(String, Array)를 마지막 인자에 두었어요. 왜 이렇게 했는지는 차차 명확해질겁니다.
(/r/g
문법은 모든 'r'을 가르키는 정규 표현식입니다. 궁금하다면 정규 표현식에 대한 글을 읽어보세요.)
match(/r/g, "hello world"); // [ 'r' ]
const hasLetterR = match(/r/g); // x => x.match(/r/g)
hasLetterR("hello world"); // [ 'r' ]
hasLetterR("just j and s and t etc"); // null
filter(hasLetterR, ["rock and roll", "smooth jazz"]); // ['rock and roll']
const removeStringsWithoutRs = filter(hasLetterR); // xs => xs.filter(x => x.match(/r/g))
removeStringsWithoutRs(["rock and roll", "smooth jazz", "drum circle"]); // ['rock and roll', 'drum circle']
const noVowels = replace(/[aeiou]/gi); // (r,x) => x.replace(/[aeiou]/ig, r)
const censored = noVowels("*"); // x => x.replace(/[aeiou]/ig, '*')
censored("Chocolate Rain"); // 'Ch*c*l*t* R**n'
여기서 하나나 두개의 인자를 함수에 "미리" 설정하고 함수는 이 인자들을 기억하는 것을 볼 수 있어요.
저는 당신이 Mostly Adequate repository (git clone https://github.com/MostlyAdequate/mostly-adequate-guide.git
)를 클론하고 위의 코드를 복사한 후에 REPL에서 돌려보는 것을 추천해요. 커리를 해주는 함수는 부록에 정의된 다른 것들과 마찬가지로 support/index.js
모듈에 있습니다.
아니면 npm
에 배포된 버전을 한번 보세요.
npm install @mostly-adequate/support
말장난 조금 더 / 특별한 소스
커링은 여러 방면으로 유용합니다. 우리는 hasLetterR
과 removeStringsWithoutRs
, censored
의 예에서 기본 함수에 몇가지 인자를 줌으로써 새로운 함수를 만드는 것을 봤어요.
또한 하나의 인자에만 작용하는 함수가 배열에 작용할 수 있도록 map
으로 감싸는 것도 보았지요.
const getChildren = (x) => x.childNodes;
const allTheChildren = map(getChildren);
보통 함수가 예상하는 것보다 덜 인자를 넘겨주는 것을 부분 적용(partial application)이라고 부릅니다. 함수에 부분 적용을 하면 보일러 플레이트 코드를 많이 줄여줍니다. losash의 커리되지 않은 map
을 위의 allTheChildren
에 사용하는 것을 생각해봅시다. 인자의 순서가 다르다는 것을 눈여겨보세요.
const allTheChildren = (elements) => map(elements, getChildren);
우리는 그냥 인라인에서 map(getChildren)
으로 호출할 수 있기 때문에 보통 배열에 적용되는 함수를 따로 정의하지는 않습니다. sort
, filter
와 다른 고차 함수들도 마찬가지입니다(고차 함수는 함수를 받거나 반환하는 함수입니다.).
순수 함수에 대해서 말할 때 그들이 1개의 입력과 1개의 출력을 가지고 있다고 말했지요. 바로 커링이 이것을 합니다. 하나의 인자를 받을 때마다 나머지 인자를 기대하는 함수를 반환합니다. 이것이 오래된 스포츠는 1대 1의 입력입니다.
출력이 다른 함수이지만 이것은 순수합니다. 우리는 한번에 한개 이상의 인자를 줄 수도 있지만 이것은 단순히 편의를 위해 여분의 ()
를 제거하는 것으로 볼 수 있어요.
요약
커링은 편리하고 저는 매일 커리된 함수와 함께하는 것을 즐기고 있어요. 커링은 함수형 프로그래밍을 좀 덜 장황하고 지루하게 만들어주는 도구입니다.
우리는 인자를 조금만 넘겨주면서 즉석에서 유용하고 새로운 함수를 만들 수 있어요. 또 함수가 여러 인자를 요구함에도 수학적인 함수 정의를 얻을 수 있어요.
이제 또 다른 도구인 함성(compose
)를 만나볼까요?
Chapter 05: Coding by Composing
연습문제
연습문제에 대하여
Throughout the book, you might encounter an 'Exercises' section like this one. Exercises can be done directly in-browser provided you're reading from gitbook (recommended).
Note that, for all exercises of the book, you always have a handful of helper functions available in the global scope. Hence, anything that is defined in Appendix A, Appendix B and Appendix C is available for you! And, as if it wasn't enough, some exercises will also define functions specific to the problem they present; as a matter of fact, consider them available as well.
Hint: you can submit your solution by doing
Ctrl + Enter
in the embedded editor!
Running Exercises on Your Machine (optional)
Should you prefer to do exercises directly in files using your own editor:
- clone the repository (
git clone git@github.com:MostlyAdequate/mostly-adequate-guide.git
) - go in the exercises section (
cd mostly-adequate-guide/exercises
) - install the necessary plumbing using npm (
npm install
) - complete answers by modifying the files named *exercises_** in the corresponding chapter's folder
- run the correction with npm (e.g.
npm run ch04
)
Unit tests will run against your answers and provide hints in case of mistake. By the by, the answers to the exercises are available in files named *answers_**.
Let's Practice!
const words = split(' ');
/* globals words */ assert.arrayEqual( words('Jingle bells Batman smells'), ['Jingle', 'bells', 'Batman', 'smells'], 'The function gives incorrect results.', ); assert( split.partially, 'The answer is incorrect; hint: split is currified!', );
// NOTE We keep named function here to leverage this in the `compose` function, // and later on in the validations scripts. /* eslint-disable prefer-arrow-callback */ /* ---------- Internals ---------- */ function namedAs(value, fn) { Object.defineProperty(fn, 'name', { value }); return fn; } // NOTE This file is loaded by gitbook's exercises plugin. When it does, there's an // `assert` function available in the global scope. /* eslint-disable no-undef, global-require */ if (typeof assert !== 'function' && typeof require === 'function') { global.assert = require('assert'); } assert.arrayEqual = function assertArrayEqual(actual, expected, message = 'arrayEqual') { if (actual.length !== expected.length) { throw new Error(message); } for (let i = 0; i < expected.length; i += 1) { if (expected[i] !== actual[i]) { throw new Error(message); } } }; /* eslint-enable no-undef, global-require */ function inspect(x) { if (x && typeof x.inspect === 'function') { return x.inspect(); } function inspectFn(f) { return f.name ? f.name : f.toString(); } function inspectTerm(t) { switch (typeof t) { case 'string': return `'${t}'`; case 'object': { const ts = Object.keys(t).map(k => [k, inspect(t[k])]); return `{${ts.map(kv => kv.join(': ')).join(', ')}}`; } default: return String(t); } } function inspectArgs(args) { return Array.isArray(args) ? `[${args.map(inspect).join(', ')}]` : inspectTerm(args); } return (typeof x === 'function') ? inspectFn(x) : inspectArgs(x); } /* eslint-disable no-param-reassign */ function withSpyOn(prop, obj, fn) { const orig = obj[prop]; let called = false; obj[prop] = function spy(...args) { called = true; return orig.call(this, ...args); }; fn(); obj[prop] = orig; return called; } /* eslint-enable no-param-reassign */ const typeMismatch = (src, got, fn) => `Type Mismatch in function '${fn}' ${fn} :: ${got} instead of ${fn} :: ${src}`; const capitalize = s => `${s[0].toUpperCase()}${s.substring(1)}`; const ordinal = (i) => { switch (i) { case 1: return '1st'; case 2: return '2nd'; case 3: return '3rd'; default: return `${i}th`; // NOTE won't get any much bigger ... } }; const getType = (x) => { if (x === null) { return 'Null'; } if (typeof x === 'undefined') { return '()'; } if (Array.isArray(x)) { return `[${x[0] ? getType(x[0]) : '?'}]`; } if (typeof x.getType === 'function') { return x.getType(); } if (x.constructor && x.constructor.name) { return x.constructor.name; } return capitalize(typeof x); }; /* ---------- Essential FP Functions ---------- */ // NOTE A slightly pumped up version of `curry` which also keeps track of // whether a function was called partially or with all its arguments at once. // This is useful to provide insights during validation of exercises. function curry(fn) { assert( typeof fn === 'function', typeMismatch('function -> ?', [getType(fn), '?'].join(' -> '), 'curry'), ); const arity = fn.length; return namedAs(fn.name, function $curry(...args) { $curry.partially = this && this.partially; if (args.length < arity) { return namedAs(fn.name, $curry.bind({ partially: true }, ...args)); } return fn.call(this || { partially: false }, ...args); }); } // NOTE A slightly pumped up version of `compose` which also keeps track of the chain // of callees. In the end, a function created with `compose` holds a `callees` variable // with the list of all the callees' names. // This is useful to provide insights during validation of exercises function compose(...fns) { const n = fns.length; return function $compose(...args) { $compose.callees = []; let $args = args; for (let i = n - 1; i >= 0; i -= 1) { const fn = fns[i]; assert( typeof fn === 'function', `Invalid Composition: ${ordinal(n - i)} element in a composition isn't a function`, ); $compose.callees.push(fn.name); $args = [fn.call(null, ...$args)]; } return $args[0]; }; } /* ---------- Algebraic Data Structures ---------- */ class Either { static of(x) { return new Right(x); // eslint-disable-line no-use-before-define } constructor(x) { this.$value = x; } } class Left extends Either { get isLeft() { // eslint-disable-line class-methods-use-this return true; } get isRight() { // eslint-disable-line class-methods-use-this return false; } ap() { return this; } chain() { return this; } inspect() { return `Left(${inspect(this.$value)})`; } getType() { return `(Either ${getType(this.$value)} ?)`; } join() { return this; } map() { return this; } sequence(of) { return of(this); } traverse(of, fn) { return of(this); } } class Right extends Either { get isLeft() { // eslint-disable-line class-methods-use-this return false; } get isRight() { // eslint-disable-line class-methods-use-this return true; } ap(f) { return f.map(this.$value); } chain(fn) { return fn(this.$value); } inspect() { return `Right(${inspect(this.$value)})`; } getType() { return `(Either ? ${getType(this.$value)})`; } join() { return this.$value; } map(fn) { return Either.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { fn(this.$value).map(Either.of); } } class Identity { static of(x) { return new Identity(x); } constructor(x) { this.$value = x; } ap(f) { return f.map(this.$value); } chain(fn) { return this.map(fn).join(); } inspect() { return `Identity(${inspect(this.$value)})`; } getType() { return `(Identity ${getType(this.$value)})`; } join() { return this.$value; } map(fn) { return Identity.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return fn(this.$value).map(Identity.of); } } class IO { static of(x) { return new IO(() => x); } constructor(io) { assert( typeof io === 'function', 'invalid `io` operation given to IO constructor. Use `IO.of` if you want to lift a value in a default minimal IO context.', ); this.unsafePerformIO = io; } ap(f) { return this.chain(fn => f.map(fn)); } chain(fn) { return this.map(fn).join(); } inspect() { return `IO(${inspect(this.unsafePerformIO())})`; } getType() { return `(IO ${getType(this.unsafePerformIO())})`; } join() { return this.unsafePerformIO(); } map(fn) { return new IO(compose(fn, this.unsafePerformIO)); } } class Map { constructor(x) { assert( typeof x === 'object' && x !== null, 'tried to create `Map` with non object-like', ); this.$value = x; } inspect() { return `Map(${inspect(this.$value)})`; } getType() { const sample = this.$value[Object.keys(this.$value)[0]]; return `(Map String ${sample ? getType(sample) : '?'})`; } insert(k, v) { const singleton = {}; singleton[k] = v; return new Map(Object.assign({}, this.$value, singleton)); } reduce(fn, zero) { return this.reduceWithKeys((acc, _, k) => fn(acc, k), zero); } reduceWithKeys(fn, zero) { return Object.keys(this.$value) .reduce((acc, k) => fn(acc, this.$value[k], k), zero); } map(fn) { return new Map(this.reduceWithKeys((obj, v, k) => { obj[k] = fn(v); // eslint-disable-line no-param-reassign return obj; }, {})); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.reduceWithKeys( (f, a, k) => fn(a).map(b => m => m.insert(k, b)).ap(f), of(new Map({})), ); } } class List { static of(x) { return new List([x]); } constructor(xs) { assert( Array.isArray(xs), 'tried to create `List` from non-array', ); this.$value = xs; } concat(x) { return new List(this.$value.concat(x)); } inspect() { return `List(${inspect(this.$value)})`; } getType() { const sample = this.$value[0]; return `(List ${sample ? getType(sample) : '?'})`; } map(fn) { return new List(this.$value.map(fn)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.$value.reduce( (f, a) => fn(a).map(b => bs => bs.concat(b)).ap(f), of(new List([])), ); } } class Maybe { static of(x) { return new Maybe(x); } get isNothing() { return this.$value === null || this.$value === undefined; } get isJust() { return !this.isNothing; } constructor(x) { this.$value = x; } ap(f) { return this.isNothing ? this : f.map(this.$value); } chain(fn) { return this.map(fn).join(); } inspect() { return this.isNothing ? 'Nothing' : `Just(${inspect(this.$value)})`; } getType() { return `(Maybe ${this.isJust ? getType(this.$value) : '?'})`; } join() { return this.isNothing ? this : this.$value; } map(fn) { return this.isNothing ? this : Maybe.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.isNothing ? of(this) : fn(this.$value).map(Maybe.of); } } class Task { constructor(fork) { assert( typeof fork === 'function', 'invalid `fork` operation given to Task constructor. Use `Task.of` if you want to lift a value in a default minimal Task context.', ); this.fork = fork; } static of(x) { return new Task((_, resolve) => resolve(x)); } static rejected(x) { return new Task((reject, _) => reject(x)); } ap(f) { return this.chain(fn => f.map(fn)); } chain(fn) { return new Task((reject, resolve) => this.fork(reject, x => fn(x).fork(reject, resolve))); } inspect() { // eslint-disable-line class-methods-use-this return 'Task(?)'; } getType() { // eslint-disable-line class-methods-use-this return '(Task ? ?)'; } join() { return this.chain(x => x); } map(fn) { return new Task((reject, resolve) => this.fork(reject, compose(resolve, fn))); } } // In nodejs the existance of a class method named `inspect` will trigger a deprecation warning // when passing an instance to `console.log`: // `(node:3845) [DEP0079] DeprecationWarning: Custom inspection function on Objects via .inspect() is deprecated` // The solution is to alias the existing inspect method with the special inspect symbol exported by node if (typeof module !== 'undefined' && typeof this !== 'undefined' && this.module !== module) { const customInspect = require('util').inspect.custom; const assignCustomInspect = it => it.prototype[customInspect] = it.prototype.inspect; [Left, Right, Identity, IO, Map, List, Maybe, Task].forEach(assignCustomInspect); } const identity = function identity(x) { return x; }; const either = curry(function either(f, g, e) { if (e.isLeft) { return f(e.$value); } return g(e.$value); }); const left = function left(x) { return new Left(x); }; const maybe = curry(function maybe(v, f, m) { if (m.isNothing) { return v; } return f(m.$value); }); const nothing = Maybe.of(null); const reject = function reject(x) { return Task.rejected(x); }; const chain = curry(function chain(fn, m) { assert( typeof fn === 'function' && typeof m.chain === 'function', typeMismatch('Monad m => (a -> m b) -> m a -> m a', [getType(fn), getType(m), 'm a'].join(' -> '), 'chain'), ); return m.chain(fn); }); const join = function join(m) { assert( typeof m.chain === 'function', typeMismatch('Monad m => m (m a) -> m a', [getType(m), 'm a'].join(' -> '), 'join'), ); return m.join(); }; const map = curry(function map(fn, f) { assert( typeof fn === 'function' && typeof f.map === 'function', typeMismatch('Functor f => (a -> b) -> f a -> f b', [getType(fn), getType(f), 'f b'].join(' -> '), 'map'), ); return f.map(fn); }); const sequence = curry(function sequence(of, x) { assert( typeof of === 'function' && typeof x.sequence === 'function', typeMismatch('(Applicative f, Traversable t) => (a -> f a) -> t (f a) -> f (t a)', [getType(of), getType(x), 'f (t a)'].join(' -> '), 'sequence'), ); return x.sequence(of); }); const traverse = curry(function traverse(of, fn, x) { assert( typeof of === 'function' && typeof fn === 'function' && typeof x.traverse === 'function', typeMismatch( '(Applicative f, Traversable t) => (a -> f a) -> (a -> f b) -> t a -> f (t b)', [getType(of), getType(fn), getType(x), 'f (t b)'].join(' -> '), 'traverse', ), ); return x.traverse(of, fn); }); const unsafePerformIO = function unsafePerformIO(io) { assert( io instanceof IO, typeMismatch('IO a', getType(io), 'unsafePerformIO'), ); return io.unsafePerformIO(); }; const liftA2 = curry(function liftA2(fn, a1, a2) { assert( typeof fn === 'function' && typeof a1.map === 'function' && typeof a2.ap === 'function', typeMismatch('Applicative f => (a -> b -> c) -> f a -> f b -> f c', [getType(fn), getType(a1), getType(a2)].join(' -> '), 'liftA2'), ); return a1.map(fn).ap(a2); }); const liftA3 = curry(function liftA3(fn, a1, a2, a3) { assert( typeof fn === 'function' && typeof a1.map === 'function' && typeof a2.ap === 'function' && typeof a3.ap === 'function', typeMismatch('Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d', [getType(fn), getType(a1), getType(a2)].join(' -> '), 'liftA2'), ); return a1.map(fn).ap(a2).ap(a3); }); const always = curry(function always(a, b) { return a; }); /* ---------- Pointfree Classic Utilities ---------- */ const append = curry(function append(a, b) { assert( typeof a === 'string' && typeof b === 'string', typeMismatch('String -> String -> String', [getType(a), getType(b), 'String'].join(' -> '), 'concat'), ); return b.concat(a); }); const add = curry(function add(a, b) { assert( typeof a === 'number' && typeof b === 'number', typeMismatch('Number -> Number -> Number', [getType(a), getType(b), 'Number'].join(' -> '), 'add'), ); return a + b; }); const concat = curry(function concat(a, b) { assert( typeof a === 'string' && typeof b === 'string', typeMismatch('String -> String -> String', [getType(a), getType(b), 'String'].join(' -> '), 'concat'), ); return a.concat(b); }); const eq = curry(function eq(a, b) { assert( getType(a) === getType(b), typeMismatch('a -> a -> Boolean', [getType(a), getType(b), 'Boolean'].join(' -> '), eq), ); return a === b; }); const filter = curry(function filter(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(a -> Boolean) -> [a] -> [a]', [getType(fn), getType(xs), getType(xs)].join(' -> '), 'filter'), ); return xs.filter(fn); }); const flip = curry(function flip(fn, a, b) { assert( typeof fn === 'function', typeMismatch('(a -> b) -> (b -> a)', [getType(fn), '(b -> a)'].join(' -> '), 'flip'), ); return fn(b, a); }); const forEach = curry(function forEach(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(a -> ()) -> [a] -> ()', [getType(fn), getType(xs), '()'].join(' -> '), 'forEach'), ); xs.forEach(fn); }); const intercalate = curry(function intercalate(str, xs) { assert( typeof str === 'string' && Array.isArray(xs) && (xs.length === 0 || typeof xs[0] === 'string'), typeMismatch('String -> [String] -> String', [getType(str), getType(xs), 'String'].join(' -> '), 'intercalate'), ); return xs.join(str); }); const head = function head(xs) { assert( Array.isArray(xs) || typeof xs === 'string', typeMismatch('[a] -> a', [getType(xs), 'a'].join(' -> '), 'head'), ); return xs[0]; }; const last = function last(xs) { assert( Array.isArray(xs) || typeof xs === 'string', typeMismatch('[a] -> a', [getType(xs), 'a'].join(' -> '), 'last'), ); return xs[xs.length - 1]; }; const match = curry(function match(re, str) { assert( re instanceof RegExp && typeof str === 'string', typeMismatch('RegExp -> String -> Boolean', [getType(re), getType(str), 'Boolean'].join(' -> '), 'match'), ); return re.test(str); }); const prop = curry(function prop(p, obj) { assert( typeof p === 'string' && typeof obj === 'object' && obj !== null, typeMismatch('String -> Object -> a', [getType(p), getType(obj), 'a'].join(' -> '), 'prop'), ); return obj[p]; }); const reduce = curry(function reduce(fn, zero, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(b -> a -> b) -> b -> [a] -> b', [getType(fn), getType(zero), getType(xs), 'b'].join(' -> '), 'reduce'), ); return xs.reduce( function $reduceIterator($acc, $x) { return fn($acc, $x); }, zero, ); }); const safeHead = namedAs('safeHead', compose(Maybe.of, head)); const safeProp = curry(function safeProp(p, obj) { return Maybe.of(prop(p, obj)); }); const sortBy = curry(function sortBy(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('Ord b => (a -> b) -> [a] -> [a]', [getType(fn), getType(xs), '[a]'].join(' -> '), 'sortBy'), ); return xs.sort((a, b) => { if (fn(a) === fn(b)) { return 0; } return fn(a) > fn(b) ? 1 : -1; }); }); const split = curry(function split(s, str) { assert( typeof s === 'string' && typeof str === 'string', typeMismatch('String -> String -> [String]', [getType(s), getType(str), '[String]'].join(' -> '), 'split'), ); return str.split(s); }); const take = curry(function take(n, xs) { assert( typeof n === 'number' && (Array.isArray(xs) || typeof xs === 'string'), typeMismatch('Number -> [a] -> [a]', [getType(n), getType(xs), getType(xs)].join(' -> '), 'take'), ); return xs.slice(0, n); }); const toLowerCase = function toLowerCase(s) { assert( typeof s === 'string', typeMismatch('String -> String', [getType(s), '?'].join(' -> '), 'toLowerCase'), ); return s.toLowerCase(); }; const toUpperCase = function toUpperCase(s) { assert( typeof s === 'string', typeMismatch('String -> String', [getType(s), '?'].join(' -> '), 'toLowerCase'), ); return s.toUpperCase(); }; /* ---------- Chapter 4 ---------- */ const keepHighest = function keepHighest(x, y) { try { keepHighest.calledBy = keepHighest.caller; } catch (err) { // NOTE node.js runs in strict mode and prohibit the usage of '.caller' // There's a ugly hack to retrieve the caller from stack trace. const [, caller] = /at (\S+)/.exec(err.stack.split('\n')[2]); keepHighest.calledBy = namedAs(caller, () => {}); } return x >= y ? x : y; }; /* ---------- Chapter 5 ---------- */ const cars = [{ name: 'Ferrari FF', horsepower: 660, dollar_value: 700000, in_stock: true, }, { name: 'Spyker C12 Zagato', horsepower: 650, dollar_value: 648000, in_stock: false, }, { name: 'Jaguar XKR-S', horsepower: 550, dollar_value: 132000, in_stock: true, }, { name: 'Audi R8', horsepower: 525, dollar_value: 114200, in_stock: false, }, { name: 'Aston Martin One-77', horsepower: 750, dollar_value: 1850000, in_stock: true, }, { name: 'Pagani Huayra', horsepower: 700, dollar_value: 1300000, in_stock: false, }]; const average = function average(xs) { return xs.reduce(add, 0) / xs.length; }; /* ---------- Chapter 8 ---------- */ const albert = { id: 1, active: true, name: 'Albert', address: { street: { number: 22, name: 'Walnut St', }, }, }; const gary = { id: 2, active: false, name: 'Gary', address: { street: { number: 14, }, }, }; const theresa = { id: 3, active: true, name: 'Theresa', }; const yi = { id: 4, name: 'Yi', active: true }; const showWelcome = namedAs('showWelcome', compose(concat('Welcome '), prop('name'))); const checkActive = function checkActive(user) { return user.active ? Either.of(user) : left('Your account is not active'); }; const save = function save(user) { return new IO(() => Object.assign({}, user, { saved: true })); }; const validateUser = curry(function validateUser(validate, user) { return validate(user).map(_ => user); // eslint-disable-line no-unused-vars }); /* ---------- Chapter 9 ---------- */ const getFile = IO.of('/home/mostly-adequate/ch09.md'); const pureLog = function pureLog(str) { return new IO(() => { console.log(str); return str; }); }; const addToMailingList = function addToMailingList(email) { return IO.of([email]); }; const emailBlast = function emailBlast(list) { return IO.of(list.join(',')); }; const validateEmail = function validateEmail(x) { return /\S+@\S+\.\S+/.test(x) ? Either.of(x) : left('invalid email'); }; /* ---------- Chapter 10 ---------- */ const localStorage = { player1: albert, player2: theresa }; const game = curry(function game(p1, p2) { return `${p1.name} vs ${p2.name}`; }); const getFromCache = function getFromCache(x) { return new IO(() => localStorage[x]); }; /* ---------- Chapter 11 ---------- */ const findUserById = function findUserById(id) { switch (id) { case 1: return Task.of(Either.of(albert)); case 2: return Task.of(Either.of(gary)); case 3: return Task.of(Either.of(theresa)); default: return Task.of(left('not found')); } }; const eitherToTask = namedAs('eitherToTask', either(Task.rejected, Task.of)); /* ---------- Chapter 12 ---------- */ const httpGet = function httpGet(route) { return Task.of(`json for ${route}`); }; const routes = new Map({ '/': '/', '/about': '/about', }); const validate = function validate(player) { return player.name ? Either.of(player) : left('must have name'); }; const readdir = function readdir(dir) { return Task.of(['file1', 'file2', 'file3']); }; const readfile = curry(function readfile(encoding, file) { return Task.of(`content of ${file} (${encoding})`); }); /* ---------- Exports ---------- */ if (typeof module === 'object') { module.exports = { // Utils withSpyOn, // Essential FP helpers always, compose, curry, either, identity, inspect, left, liftA2, liftA3, maybe, nothing, reject, // Algebraic Data Structures Either, IO, Identity, Left, List, Map, Maybe, Right, Task, // Currified version of 'standard' functions append, add, chain, concat, eq, filter, flip, forEach, head, intercalate, join, last, map, match, prop, reduce, safeHead, safeProp, sequence, sortBy, split, take, toLowerCase, toUpperCase, traverse, unsafePerformIO, // Chapter 04 keepHighest, // Chapter 05 cars, average, // Chapter 08 albert, gary, theresa, yi, showWelcome, checkActive, save, validateUser, // Chapter 09 getFile, pureLog, addToMailingList, emailBlast, validateEmail, // Chapter 10 localStorage, getFromCache, game, // Chapter 11 findUserById, eitherToTask, // Chapter 12 httpGet, routes, validate, readdir, readfile, }; }
const filterQs = filter(match(/q/i));
/* globals filterQs */ filter.calledPartial = false; match.calledPartial = false; assert.arrayEqual( filterQs(['quick', 'camels', 'quarry', 'over', 'quails']), ['quick', 'quarry', 'quails'], 'The function gives incorrect results.', ); assert( filter.partially, 'The answer is incorrect; hint: look at the arguments for `filter`.', ); assert( match.partially, 'The answer is incorrect; hint: look at the arguments for `match`.', );
// NOTE We keep named function here to leverage this in the `compose` function, // and later on in the validations scripts. /* eslint-disable prefer-arrow-callback */ /* ---------- Internals ---------- */ function namedAs(value, fn) { Object.defineProperty(fn, 'name', { value }); return fn; } // NOTE This file is loaded by gitbook's exercises plugin. When it does, there's an // `assert` function available in the global scope. /* eslint-disable no-undef, global-require */ if (typeof assert !== 'function' && typeof require === 'function') { global.assert = require('assert'); } assert.arrayEqual = function assertArrayEqual(actual, expected, message = 'arrayEqual') { if (actual.length !== expected.length) { throw new Error(message); } for (let i = 0; i < expected.length; i += 1) { if (expected[i] !== actual[i]) { throw new Error(message); } } }; /* eslint-enable no-undef, global-require */ function inspect(x) { if (x && typeof x.inspect === 'function') { return x.inspect(); } function inspectFn(f) { return f.name ? f.name : f.toString(); } function inspectTerm(t) { switch (typeof t) { case 'string': return `'${t}'`; case 'object': { const ts = Object.keys(t).map(k => [k, inspect(t[k])]); return `{${ts.map(kv => kv.join(': ')).join(', ')}}`; } default: return String(t); } } function inspectArgs(args) { return Array.isArray(args) ? `[${args.map(inspect).join(', ')}]` : inspectTerm(args); } return (typeof x === 'function') ? inspectFn(x) : inspectArgs(x); } /* eslint-disable no-param-reassign */ function withSpyOn(prop, obj, fn) { const orig = obj[prop]; let called = false; obj[prop] = function spy(...args) { called = true; return orig.call(this, ...args); }; fn(); obj[prop] = orig; return called; } /* eslint-enable no-param-reassign */ const typeMismatch = (src, got, fn) => `Type Mismatch in function '${fn}' ${fn} :: ${got} instead of ${fn} :: ${src}`; const capitalize = s => `${s[0].toUpperCase()}${s.substring(1)}`; const ordinal = (i) => { switch (i) { case 1: return '1st'; case 2: return '2nd'; case 3: return '3rd'; default: return `${i}th`; // NOTE won't get any much bigger ... } }; const getType = (x) => { if (x === null) { return 'Null'; } if (typeof x === 'undefined') { return '()'; } if (Array.isArray(x)) { return `[${x[0] ? getType(x[0]) : '?'}]`; } if (typeof x.getType === 'function') { return x.getType(); } if (x.constructor && x.constructor.name) { return x.constructor.name; } return capitalize(typeof x); }; /* ---------- Essential FP Functions ---------- */ // NOTE A slightly pumped up version of `curry` which also keeps track of // whether a function was called partially or with all its arguments at once. // This is useful to provide insights during validation of exercises. function curry(fn) { assert( typeof fn === 'function', typeMismatch('function -> ?', [getType(fn), '?'].join(' -> '), 'curry'), ); const arity = fn.length; return namedAs(fn.name, function $curry(...args) { $curry.partially = this && this.partially; if (args.length < arity) { return namedAs(fn.name, $curry.bind({ partially: true }, ...args)); } return fn.call(this || { partially: false }, ...args); }); } // NOTE A slightly pumped up version of `compose` which also keeps track of the chain // of callees. In the end, a function created with `compose` holds a `callees` variable // with the list of all the callees' names. // This is useful to provide insights during validation of exercises function compose(...fns) { const n = fns.length; return function $compose(...args) { $compose.callees = []; let $args = args; for (let i = n - 1; i >= 0; i -= 1) { const fn = fns[i]; assert( typeof fn === 'function', `Invalid Composition: ${ordinal(n - i)} element in a composition isn't a function`, ); $compose.callees.push(fn.name); $args = [fn.call(null, ...$args)]; } return $args[0]; }; } /* ---------- Algebraic Data Structures ---------- */ class Either { static of(x) { return new Right(x); // eslint-disable-line no-use-before-define } constructor(x) { this.$value = x; } } class Left extends Either { get isLeft() { // eslint-disable-line class-methods-use-this return true; } get isRight() { // eslint-disable-line class-methods-use-this return false; } ap() { return this; } chain() { return this; } inspect() { return `Left(${inspect(this.$value)})`; } getType() { return `(Either ${getType(this.$value)} ?)`; } join() { return this; } map() { return this; } sequence(of) { return of(this); } traverse(of, fn) { return of(this); } } class Right extends Either { get isLeft() { // eslint-disable-line class-methods-use-this return false; } get isRight() { // eslint-disable-line class-methods-use-this return true; } ap(f) { return f.map(this.$value); } chain(fn) { return fn(this.$value); } inspect() { return `Right(${inspect(this.$value)})`; } getType() { return `(Either ? ${getType(this.$value)})`; } join() { return this.$value; } map(fn) { return Either.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { fn(this.$value).map(Either.of); } } class Identity { static of(x) { return new Identity(x); } constructor(x) { this.$value = x; } ap(f) { return f.map(this.$value); } chain(fn) { return this.map(fn).join(); } inspect() { return `Identity(${inspect(this.$value)})`; } getType() { return `(Identity ${getType(this.$value)})`; } join() { return this.$value; } map(fn) { return Identity.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return fn(this.$value).map(Identity.of); } } class IO { static of(x) { return new IO(() => x); } constructor(io) { assert( typeof io === 'function', 'invalid `io` operation given to IO constructor. Use `IO.of` if you want to lift a value in a default minimal IO context.', ); this.unsafePerformIO = io; } ap(f) { return this.chain(fn => f.map(fn)); } chain(fn) { return this.map(fn).join(); } inspect() { return `IO(${inspect(this.unsafePerformIO())})`; } getType() { return `(IO ${getType(this.unsafePerformIO())})`; } join() { return this.unsafePerformIO(); } map(fn) { return new IO(compose(fn, this.unsafePerformIO)); } } class Map { constructor(x) { assert( typeof x === 'object' && x !== null, 'tried to create `Map` with non object-like', ); this.$value = x; } inspect() { return `Map(${inspect(this.$value)})`; } getType() { const sample = this.$value[Object.keys(this.$value)[0]]; return `(Map String ${sample ? getType(sample) : '?'})`; } insert(k, v) { const singleton = {}; singleton[k] = v; return new Map(Object.assign({}, this.$value, singleton)); } reduce(fn, zero) { return this.reduceWithKeys((acc, _, k) => fn(acc, k), zero); } reduceWithKeys(fn, zero) { return Object.keys(this.$value) .reduce((acc, k) => fn(acc, this.$value[k], k), zero); } map(fn) { return new Map(this.reduceWithKeys((obj, v, k) => { obj[k] = fn(v); // eslint-disable-line no-param-reassign return obj; }, {})); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.reduceWithKeys( (f, a, k) => fn(a).map(b => m => m.insert(k, b)).ap(f), of(new Map({})), ); } } class List { static of(x) { return new List([x]); } constructor(xs) { assert( Array.isArray(xs), 'tried to create `List` from non-array', ); this.$value = xs; } concat(x) { return new List(this.$value.concat(x)); } inspect() { return `List(${inspect(this.$value)})`; } getType() { const sample = this.$value[0]; return `(List ${sample ? getType(sample) : '?'})`; } map(fn) { return new List(this.$value.map(fn)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.$value.reduce( (f, a) => fn(a).map(b => bs => bs.concat(b)).ap(f), of(new List([])), ); } } class Maybe { static of(x) { return new Maybe(x); } get isNothing() { return this.$value === null || this.$value === undefined; } get isJust() { return !this.isNothing; } constructor(x) { this.$value = x; } ap(f) { return this.isNothing ? this : f.map(this.$value); } chain(fn) { return this.map(fn).join(); } inspect() { return this.isNothing ? 'Nothing' : `Just(${inspect(this.$value)})`; } getType() { return `(Maybe ${this.isJust ? getType(this.$value) : '?'})`; } join() { return this.isNothing ? this : this.$value; } map(fn) { return this.isNothing ? this : Maybe.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.isNothing ? of(this) : fn(this.$value).map(Maybe.of); } } class Task { constructor(fork) { assert( typeof fork === 'function', 'invalid `fork` operation given to Task constructor. Use `Task.of` if you want to lift a value in a default minimal Task context.', ); this.fork = fork; } static of(x) { return new Task((_, resolve) => resolve(x)); } static rejected(x) { return new Task((reject, _) => reject(x)); } ap(f) { return this.chain(fn => f.map(fn)); } chain(fn) { return new Task((reject, resolve) => this.fork(reject, x => fn(x).fork(reject, resolve))); } inspect() { // eslint-disable-line class-methods-use-this return 'Task(?)'; } getType() { // eslint-disable-line class-methods-use-this return '(Task ? ?)'; } join() { return this.chain(x => x); } map(fn) { return new Task((reject, resolve) => this.fork(reject, compose(resolve, fn))); } } // In nodejs the existance of a class method named `inspect` will trigger a deprecation warning // when passing an instance to `console.log`: // `(node:3845) [DEP0079] DeprecationWarning: Custom inspection function on Objects via .inspect() is deprecated` // The solution is to alias the existing inspect method with the special inspect symbol exported by node if (typeof module !== 'undefined' && typeof this !== 'undefined' && this.module !== module) { const customInspect = require('util').inspect.custom; const assignCustomInspect = it => it.prototype[customInspect] = it.prototype.inspect; [Left, Right, Identity, IO, Map, List, Maybe, Task].forEach(assignCustomInspect); } const identity = function identity(x) { return x; }; const either = curry(function either(f, g, e) { if (e.isLeft) { return f(e.$value); } return g(e.$value); }); const left = function left(x) { return new Left(x); }; const maybe = curry(function maybe(v, f, m) { if (m.isNothing) { return v; } return f(m.$value); }); const nothing = Maybe.of(null); const reject = function reject(x) { return Task.rejected(x); }; const chain = curry(function chain(fn, m) { assert( typeof fn === 'function' && typeof m.chain === 'function', typeMismatch('Monad m => (a -> m b) -> m a -> m a', [getType(fn), getType(m), 'm a'].join(' -> '), 'chain'), ); return m.chain(fn); }); const join = function join(m) { assert( typeof m.chain === 'function', typeMismatch('Monad m => m (m a) -> m a', [getType(m), 'm a'].join(' -> '), 'join'), ); return m.join(); }; const map = curry(function map(fn, f) { assert( typeof fn === 'function' && typeof f.map === 'function', typeMismatch('Functor f => (a -> b) -> f a -> f b', [getType(fn), getType(f), 'f b'].join(' -> '), 'map'), ); return f.map(fn); }); const sequence = curry(function sequence(of, x) { assert( typeof of === 'function' && typeof x.sequence === 'function', typeMismatch('(Applicative f, Traversable t) => (a -> f a) -> t (f a) -> f (t a)', [getType(of), getType(x), 'f (t a)'].join(' -> '), 'sequence'), ); return x.sequence(of); }); const traverse = curry(function traverse(of, fn, x) { assert( typeof of === 'function' && typeof fn === 'function' && typeof x.traverse === 'function', typeMismatch( '(Applicative f, Traversable t) => (a -> f a) -> (a -> f b) -> t a -> f (t b)', [getType(of), getType(fn), getType(x), 'f (t b)'].join(' -> '), 'traverse', ), ); return x.traverse(of, fn); }); const unsafePerformIO = function unsafePerformIO(io) { assert( io instanceof IO, typeMismatch('IO a', getType(io), 'unsafePerformIO'), ); return io.unsafePerformIO(); }; const liftA2 = curry(function liftA2(fn, a1, a2) { assert( typeof fn === 'function' && typeof a1.map === 'function' && typeof a2.ap === 'function', typeMismatch('Applicative f => (a -> b -> c) -> f a -> f b -> f c', [getType(fn), getType(a1), getType(a2)].join(' -> '), 'liftA2'), ); return a1.map(fn).ap(a2); }); const liftA3 = curry(function liftA3(fn, a1, a2, a3) { assert( typeof fn === 'function' && typeof a1.map === 'function' && typeof a2.ap === 'function' && typeof a3.ap === 'function', typeMismatch('Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d', [getType(fn), getType(a1), getType(a2)].join(' -> '), 'liftA2'), ); return a1.map(fn).ap(a2).ap(a3); }); const always = curry(function always(a, b) { return a; }); /* ---------- Pointfree Classic Utilities ---------- */ const append = curry(function append(a, b) { assert( typeof a === 'string' && typeof b === 'string', typeMismatch('String -> String -> String', [getType(a), getType(b), 'String'].join(' -> '), 'concat'), ); return b.concat(a); }); const add = curry(function add(a, b) { assert( typeof a === 'number' && typeof b === 'number', typeMismatch('Number -> Number -> Number', [getType(a), getType(b), 'Number'].join(' -> '), 'add'), ); return a + b; }); const concat = curry(function concat(a, b) { assert( typeof a === 'string' && typeof b === 'string', typeMismatch('String -> String -> String', [getType(a), getType(b), 'String'].join(' -> '), 'concat'), ); return a.concat(b); }); const eq = curry(function eq(a, b) { assert( getType(a) === getType(b), typeMismatch('a -> a -> Boolean', [getType(a), getType(b), 'Boolean'].join(' -> '), eq), ); return a === b; }); const filter = curry(function filter(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(a -> Boolean) -> [a] -> [a]', [getType(fn), getType(xs), getType(xs)].join(' -> '), 'filter'), ); return xs.filter(fn); }); const flip = curry(function flip(fn, a, b) { assert( typeof fn === 'function', typeMismatch('(a -> b) -> (b -> a)', [getType(fn), '(b -> a)'].join(' -> '), 'flip'), ); return fn(b, a); }); const forEach = curry(function forEach(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(a -> ()) -> [a] -> ()', [getType(fn), getType(xs), '()'].join(' -> '), 'forEach'), ); xs.forEach(fn); }); const intercalate = curry(function intercalate(str, xs) { assert( typeof str === 'string' && Array.isArray(xs) && (xs.length === 0 || typeof xs[0] === 'string'), typeMismatch('String -> [String] -> String', [getType(str), getType(xs), 'String'].join(' -> '), 'intercalate'), ); return xs.join(str); }); const head = function head(xs) { assert( Array.isArray(xs) || typeof xs === 'string', typeMismatch('[a] -> a', [getType(xs), 'a'].join(' -> '), 'head'), ); return xs[0]; }; const last = function last(xs) { assert( Array.isArray(xs) || typeof xs === 'string', typeMismatch('[a] -> a', [getType(xs), 'a'].join(' -> '), 'last'), ); return xs[xs.length - 1]; }; const match = curry(function match(re, str) { assert( re instanceof RegExp && typeof str === 'string', typeMismatch('RegExp -> String -> Boolean', [getType(re), getType(str), 'Boolean'].join(' -> '), 'match'), ); return re.test(str); }); const prop = curry(function prop(p, obj) { assert( typeof p === 'string' && typeof obj === 'object' && obj !== null, typeMismatch('String -> Object -> a', [getType(p), getType(obj), 'a'].join(' -> '), 'prop'), ); return obj[p]; }); const reduce = curry(function reduce(fn, zero, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(b -> a -> b) -> b -> [a] -> b', [getType(fn), getType(zero), getType(xs), 'b'].join(' -> '), 'reduce'), ); return xs.reduce( function $reduceIterator($acc, $x) { return fn($acc, $x); }, zero, ); }); const safeHead = namedAs('safeHead', compose(Maybe.of, head)); const safeProp = curry(function safeProp(p, obj) { return Maybe.of(prop(p, obj)); }); const sortBy = curry(function sortBy(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('Ord b => (a -> b) -> [a] -> [a]', [getType(fn), getType(xs), '[a]'].join(' -> '), 'sortBy'), ); return xs.sort((a, b) => { if (fn(a) === fn(b)) { return 0; } return fn(a) > fn(b) ? 1 : -1; }); }); const split = curry(function split(s, str) { assert( typeof s === 'string' && typeof str === 'string', typeMismatch('String -> String -> [String]', [getType(s), getType(str), '[String]'].join(' -> '), 'split'), ); return str.split(s); }); const take = curry(function take(n, xs) { assert( typeof n === 'number' && (Array.isArray(xs) || typeof xs === 'string'), typeMismatch('Number -> [a] -> [a]', [getType(n), getType(xs), getType(xs)].join(' -> '), 'take'), ); return xs.slice(0, n); }); const toLowerCase = function toLowerCase(s) { assert( typeof s === 'string', typeMismatch('String -> String', [getType(s), '?'].join(' -> '), 'toLowerCase'), ); return s.toLowerCase(); }; const toUpperCase = function toUpperCase(s) { assert( typeof s === 'string', typeMismatch('String -> String', [getType(s), '?'].join(' -> '), 'toLowerCase'), ); return s.toUpperCase(); }; /* ---------- Chapter 4 ---------- */ const keepHighest = function keepHighest(x, y) { try { keepHighest.calledBy = keepHighest.caller; } catch (err) { // NOTE node.js runs in strict mode and prohibit the usage of '.caller' // There's a ugly hack to retrieve the caller from stack trace. const [, caller] = /at (\S+)/.exec(err.stack.split('\n')[2]); keepHighest.calledBy = namedAs(caller, () => {}); } return x >= y ? x : y; }; /* ---------- Chapter 5 ---------- */ const cars = [{ name: 'Ferrari FF', horsepower: 660, dollar_value: 700000, in_stock: true, }, { name: 'Spyker C12 Zagato', horsepower: 650, dollar_value: 648000, in_stock: false, }, { name: 'Jaguar XKR-S', horsepower: 550, dollar_value: 132000, in_stock: true, }, { name: 'Audi R8', horsepower: 525, dollar_value: 114200, in_stock: false, }, { name: 'Aston Martin One-77', horsepower: 750, dollar_value: 1850000, in_stock: true, }, { name: 'Pagani Huayra', horsepower: 700, dollar_value: 1300000, in_stock: false, }]; const average = function average(xs) { return xs.reduce(add, 0) / xs.length; }; /* ---------- Chapter 8 ---------- */ const albert = { id: 1, active: true, name: 'Albert', address: { street: { number: 22, name: 'Walnut St', }, }, }; const gary = { id: 2, active: false, name: 'Gary', address: { street: { number: 14, }, }, }; const theresa = { id: 3, active: true, name: 'Theresa', }; const yi = { id: 4, name: 'Yi', active: true }; const showWelcome = namedAs('showWelcome', compose(concat('Welcome '), prop('name'))); const checkActive = function checkActive(user) { return user.active ? Either.of(user) : left('Your account is not active'); }; const save = function save(user) { return new IO(() => Object.assign({}, user, { saved: true })); }; const validateUser = curry(function validateUser(validate, user) { return validate(user).map(_ => user); // eslint-disable-line no-unused-vars }); /* ---------- Chapter 9 ---------- */ const getFile = IO.of('/home/mostly-adequate/ch09.md'); const pureLog = function pureLog(str) { return new IO(() => { console.log(str); return str; }); }; const addToMailingList = function addToMailingList(email) { return IO.of([email]); }; const emailBlast = function emailBlast(list) { return IO.of(list.join(',')); }; const validateEmail = function validateEmail(x) { return /\S+@\S+\.\S+/.test(x) ? Either.of(x) : left('invalid email'); }; /* ---------- Chapter 10 ---------- */ const localStorage = { player1: albert, player2: theresa }; const game = curry(function game(p1, p2) { return `${p1.name} vs ${p2.name}`; }); const getFromCache = function getFromCache(x) { return new IO(() => localStorage[x]); }; /* ---------- Chapter 11 ---------- */ const findUserById = function findUserById(id) { switch (id) { case 1: return Task.of(Either.of(albert)); case 2: return Task.of(Either.of(gary)); case 3: return Task.of(Either.of(theresa)); default: return Task.of(left('not found')); } }; const eitherToTask = namedAs('eitherToTask', either(Task.rejected, Task.of)); /* ---------- Chapter 12 ---------- */ const httpGet = function httpGet(route) { return Task.of(`json for ${route}`); }; const routes = new Map({ '/': '/', '/about': '/about', }); const validate = function validate(player) { return player.name ? Either.of(player) : left('must have name'); }; const readdir = function readdir(dir) { return Task.of(['file1', 'file2', 'file3']); }; const readfile = curry(function readfile(encoding, file) { return Task.of(`content of ${file} (${encoding})`); }); /* ---------- Exports ---------- */ if (typeof module === 'object') { module.exports = { // Utils withSpyOn, // Essential FP helpers always, compose, curry, either, identity, inspect, left, liftA2, liftA3, maybe, nothing, reject, // Algebraic Data Structures Either, IO, Identity, Left, List, Map, Maybe, Right, Task, // Currified version of 'standard' functions append, add, chain, concat, eq, filter, flip, forEach, head, intercalate, join, last, map, match, prop, reduce, safeHead, safeProp, sequence, sortBy, split, take, toLowerCase, toUpperCase, traverse, unsafePerformIO, // Chapter 04 keepHighest, // Chapter 05 cars, average, // Chapter 08 albert, gary, theresa, yi, showWelcome, checkActive, save, validateUser, // Chapter 09 getFile, pureLog, addToMailingList, emailBlast, validateEmail, // Chapter 10 localStorage, getFromCache, game, // Chapter 11 findUserById, eitherToTask, // Chapter 12 httpGet, routes, validate, readdir, readfile, }; }
Considering the following function:
const keepHighest = (x, y) => (x >= y ? x : y);
const max = reduce(keepHighest, -Infinity);
/* globals max */ assert( max([323, 523, 554, 123, 5234]) === 5234, 'The function gives incorrect results.', ); assert( reduce.partially, 'The answer is incorrect; hint: look at the arguments for `reduce`!', ); assert( keepHighest.calledBy && keepHighest.calledBy.name === '$reduceIterator', 'The answer is incorrect; hint: look closely to `reduce\'s` iterator and `keepHighest`!', );
// NOTE We keep named function here to leverage this in the `compose` function, // and later on in the validations scripts. /* eslint-disable prefer-arrow-callback */ /* ---------- Internals ---------- */ function namedAs(value, fn) { Object.defineProperty(fn, 'name', { value }); return fn; } // NOTE This file is loaded by gitbook's exercises plugin. When it does, there's an // `assert` function available in the global scope. /* eslint-disable no-undef, global-require */ if (typeof assert !== 'function' && typeof require === 'function') { global.assert = require('assert'); } assert.arrayEqual = function assertArrayEqual(actual, expected, message = 'arrayEqual') { if (actual.length !== expected.length) { throw new Error(message); } for (let i = 0; i < expected.length; i += 1) { if (expected[i] !== actual[i]) { throw new Error(message); } } }; /* eslint-enable no-undef, global-require */ function inspect(x) { if (x && typeof x.inspect === 'function') { return x.inspect(); } function inspectFn(f) { return f.name ? f.name : f.toString(); } function inspectTerm(t) { switch (typeof t) { case 'string': return `'${t}'`; case 'object': { const ts = Object.keys(t).map(k => [k, inspect(t[k])]); return `{${ts.map(kv => kv.join(': ')).join(', ')}}`; } default: return String(t); } } function inspectArgs(args) { return Array.isArray(args) ? `[${args.map(inspect).join(', ')}]` : inspectTerm(args); } return (typeof x === 'function') ? inspectFn(x) : inspectArgs(x); } /* eslint-disable no-param-reassign */ function withSpyOn(prop, obj, fn) { const orig = obj[prop]; let called = false; obj[prop] = function spy(...args) { called = true; return orig.call(this, ...args); }; fn(); obj[prop] = orig; return called; } /* eslint-enable no-param-reassign */ const typeMismatch = (src, got, fn) => `Type Mismatch in function '${fn}' ${fn} :: ${got} instead of ${fn} :: ${src}`; const capitalize = s => `${s[0].toUpperCase()}${s.substring(1)}`; const ordinal = (i) => { switch (i) { case 1: return '1st'; case 2: return '2nd'; case 3: return '3rd'; default: return `${i}th`; // NOTE won't get any much bigger ... } }; const getType = (x) => { if (x === null) { return 'Null'; } if (typeof x === 'undefined') { return '()'; } if (Array.isArray(x)) { return `[${x[0] ? getType(x[0]) : '?'}]`; } if (typeof x.getType === 'function') { return x.getType(); } if (x.constructor && x.constructor.name) { return x.constructor.name; } return capitalize(typeof x); }; /* ---------- Essential FP Functions ---------- */ // NOTE A slightly pumped up version of `curry` which also keeps track of // whether a function was called partially or with all its arguments at once. // This is useful to provide insights during validation of exercises. function curry(fn) { assert( typeof fn === 'function', typeMismatch('function -> ?', [getType(fn), '?'].join(' -> '), 'curry'), ); const arity = fn.length; return namedAs(fn.name, function $curry(...args) { $curry.partially = this && this.partially; if (args.length < arity) { return namedAs(fn.name, $curry.bind({ partially: true }, ...args)); } return fn.call(this || { partially: false }, ...args); }); } // NOTE A slightly pumped up version of `compose` which also keeps track of the chain // of callees. In the end, a function created with `compose` holds a `callees` variable // with the list of all the callees' names. // This is useful to provide insights during validation of exercises function compose(...fns) { const n = fns.length; return function $compose(...args) { $compose.callees = []; let $args = args; for (let i = n - 1; i >= 0; i -= 1) { const fn = fns[i]; assert( typeof fn === 'function', `Invalid Composition: ${ordinal(n - i)} element in a composition isn't a function`, ); $compose.callees.push(fn.name); $args = [fn.call(null, ...$args)]; } return $args[0]; }; } /* ---------- Algebraic Data Structures ---------- */ class Either { static of(x) { return new Right(x); // eslint-disable-line no-use-before-define } constructor(x) { this.$value = x; } } class Left extends Either { get isLeft() { // eslint-disable-line class-methods-use-this return true; } get isRight() { // eslint-disable-line class-methods-use-this return false; } ap() { return this; } chain() { return this; } inspect() { return `Left(${inspect(this.$value)})`; } getType() { return `(Either ${getType(this.$value)} ?)`; } join() { return this; } map() { return this; } sequence(of) { return of(this); } traverse(of, fn) { return of(this); } } class Right extends Either { get isLeft() { // eslint-disable-line class-methods-use-this return false; } get isRight() { // eslint-disable-line class-methods-use-this return true; } ap(f) { return f.map(this.$value); } chain(fn) { return fn(this.$value); } inspect() { return `Right(${inspect(this.$value)})`; } getType() { return `(Either ? ${getType(this.$value)})`; } join() { return this.$value; } map(fn) { return Either.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { fn(this.$value).map(Either.of); } } class Identity { static of(x) { return new Identity(x); } constructor(x) { this.$value = x; } ap(f) { return f.map(this.$value); } chain(fn) { return this.map(fn).join(); } inspect() { return `Identity(${inspect(this.$value)})`; } getType() { return `(Identity ${getType(this.$value)})`; } join() { return this.$value; } map(fn) { return Identity.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return fn(this.$value).map(Identity.of); } } class IO { static of(x) { return new IO(() => x); } constructor(io) { assert( typeof io === 'function', 'invalid `io` operation given to IO constructor. Use `IO.of` if you want to lift a value in a default minimal IO context.', ); this.unsafePerformIO = io; } ap(f) { return this.chain(fn => f.map(fn)); } chain(fn) { return this.map(fn).join(); } inspect() { return `IO(${inspect(this.unsafePerformIO())})`; } getType() { return `(IO ${getType(this.unsafePerformIO())})`; } join() { return this.unsafePerformIO(); } map(fn) { return new IO(compose(fn, this.unsafePerformIO)); } } class Map { constructor(x) { assert( typeof x === 'object' && x !== null, 'tried to create `Map` with non object-like', ); this.$value = x; } inspect() { return `Map(${inspect(this.$value)})`; } getType() { const sample = this.$value[Object.keys(this.$value)[0]]; return `(Map String ${sample ? getType(sample) : '?'})`; } insert(k, v) { const singleton = {}; singleton[k] = v; return new Map(Object.assign({}, this.$value, singleton)); } reduce(fn, zero) { return this.reduceWithKeys((acc, _, k) => fn(acc, k), zero); } reduceWithKeys(fn, zero) { return Object.keys(this.$value) .reduce((acc, k) => fn(acc, this.$value[k], k), zero); } map(fn) { return new Map(this.reduceWithKeys((obj, v, k) => { obj[k] = fn(v); // eslint-disable-line no-param-reassign return obj; }, {})); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.reduceWithKeys( (f, a, k) => fn(a).map(b => m => m.insert(k, b)).ap(f), of(new Map({})), ); } } class List { static of(x) { return new List([x]); } constructor(xs) { assert( Array.isArray(xs), 'tried to create `List` from non-array', ); this.$value = xs; } concat(x) { return new List(this.$value.concat(x)); } inspect() { return `List(${inspect(this.$value)})`; } getType() { const sample = this.$value[0]; return `(List ${sample ? getType(sample) : '?'})`; } map(fn) { return new List(this.$value.map(fn)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.$value.reduce( (f, a) => fn(a).map(b => bs => bs.concat(b)).ap(f), of(new List([])), ); } } class Maybe { static of(x) { return new Maybe(x); } get isNothing() { return this.$value === null || this.$value === undefined; } get isJust() { return !this.isNothing; } constructor(x) { this.$value = x; } ap(f) { return this.isNothing ? this : f.map(this.$value); } chain(fn) { return this.map(fn).join(); } inspect() { return this.isNothing ? 'Nothing' : `Just(${inspect(this.$value)})`; } getType() { return `(Maybe ${this.isJust ? getType(this.$value) : '?'})`; } join() { return this.isNothing ? this : this.$value; } map(fn) { return this.isNothing ? this : Maybe.of(fn(this.$value)); } sequence(of) { return this.traverse(of, x => x); } traverse(of, fn) { return this.isNothing ? of(this) : fn(this.$value).map(Maybe.of); } } class Task { constructor(fork) { assert( typeof fork === 'function', 'invalid `fork` operation given to Task constructor. Use `Task.of` if you want to lift a value in a default minimal Task context.', ); this.fork = fork; } static of(x) { return new Task((_, resolve) => resolve(x)); } static rejected(x) { return new Task((reject, _) => reject(x)); } ap(f) { return this.chain(fn => f.map(fn)); } chain(fn) { return new Task((reject, resolve) => this.fork(reject, x => fn(x).fork(reject, resolve))); } inspect() { // eslint-disable-line class-methods-use-this return 'Task(?)'; } getType() { // eslint-disable-line class-methods-use-this return '(Task ? ?)'; } join() { return this.chain(x => x); } map(fn) { return new Task((reject, resolve) => this.fork(reject, compose(resolve, fn))); } } // In nodejs the existance of a class method named `inspect` will trigger a deprecation warning // when passing an instance to `console.log`: // `(node:3845) [DEP0079] DeprecationWarning: Custom inspection function on Objects via .inspect() is deprecated` // The solution is to alias the existing inspect method with the special inspect symbol exported by node if (typeof module !== 'undefined' && typeof this !== 'undefined' && this.module !== module) { const customInspect = require('util').inspect.custom; const assignCustomInspect = it => it.prototype[customInspect] = it.prototype.inspect; [Left, Right, Identity, IO, Map, List, Maybe, Task].forEach(assignCustomInspect); } const identity = function identity(x) { return x; }; const either = curry(function either(f, g, e) { if (e.isLeft) { return f(e.$value); } return g(e.$value); }); const left = function left(x) { return new Left(x); }; const maybe = curry(function maybe(v, f, m) { if (m.isNothing) { return v; } return f(m.$value); }); const nothing = Maybe.of(null); const reject = function reject(x) { return Task.rejected(x); }; const chain = curry(function chain(fn, m) { assert( typeof fn === 'function' && typeof m.chain === 'function', typeMismatch('Monad m => (a -> m b) -> m a -> m a', [getType(fn), getType(m), 'm a'].join(' -> '), 'chain'), ); return m.chain(fn); }); const join = function join(m) { assert( typeof m.chain === 'function', typeMismatch('Monad m => m (m a) -> m a', [getType(m), 'm a'].join(' -> '), 'join'), ); return m.join(); }; const map = curry(function map(fn, f) { assert( typeof fn === 'function' && typeof f.map === 'function', typeMismatch('Functor f => (a -> b) -> f a -> f b', [getType(fn), getType(f), 'f b'].join(' -> '), 'map'), ); return f.map(fn); }); const sequence = curry(function sequence(of, x) { assert( typeof of === 'function' && typeof x.sequence === 'function', typeMismatch('(Applicative f, Traversable t) => (a -> f a) -> t (f a) -> f (t a)', [getType(of), getType(x), 'f (t a)'].join(' -> '), 'sequence'), ); return x.sequence(of); }); const traverse = curry(function traverse(of, fn, x) { assert( typeof of === 'function' && typeof fn === 'function' && typeof x.traverse === 'function', typeMismatch( '(Applicative f, Traversable t) => (a -> f a) -> (a -> f b) -> t a -> f (t b)', [getType(of), getType(fn), getType(x), 'f (t b)'].join(' -> '), 'traverse', ), ); return x.traverse(of, fn); }); const unsafePerformIO = function unsafePerformIO(io) { assert( io instanceof IO, typeMismatch('IO a', getType(io), 'unsafePerformIO'), ); return io.unsafePerformIO(); }; const liftA2 = curry(function liftA2(fn, a1, a2) { assert( typeof fn === 'function' && typeof a1.map === 'function' && typeof a2.ap === 'function', typeMismatch('Applicative f => (a -> b -> c) -> f a -> f b -> f c', [getType(fn), getType(a1), getType(a2)].join(' -> '), 'liftA2'), ); return a1.map(fn).ap(a2); }); const liftA3 = curry(function liftA3(fn, a1, a2, a3) { assert( typeof fn === 'function' && typeof a1.map === 'function' && typeof a2.ap === 'function' && typeof a3.ap === 'function', typeMismatch('Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d', [getType(fn), getType(a1), getType(a2)].join(' -> '), 'liftA2'), ); return a1.map(fn).ap(a2).ap(a3); }); const always = curry(function always(a, b) { return a; }); /* ---------- Pointfree Classic Utilities ---------- */ const append = curry(function append(a, b) { assert( typeof a === 'string' && typeof b === 'string', typeMismatch('String -> String -> String', [getType(a), getType(b), 'String'].join(' -> '), 'concat'), ); return b.concat(a); }); const add = curry(function add(a, b) { assert( typeof a === 'number' && typeof b === 'number', typeMismatch('Number -> Number -> Number', [getType(a), getType(b), 'Number'].join(' -> '), 'add'), ); return a + b; }); const concat = curry(function concat(a, b) { assert( typeof a === 'string' && typeof b === 'string', typeMismatch('String -> String -> String', [getType(a), getType(b), 'String'].join(' -> '), 'concat'), ); return a.concat(b); }); const eq = curry(function eq(a, b) { assert( getType(a) === getType(b), typeMismatch('a -> a -> Boolean', [getType(a), getType(b), 'Boolean'].join(' -> '), eq), ); return a === b; }); const filter = curry(function filter(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(a -> Boolean) -> [a] -> [a]', [getType(fn), getType(xs), getType(xs)].join(' -> '), 'filter'), ); return xs.filter(fn); }); const flip = curry(function flip(fn, a, b) { assert( typeof fn === 'function', typeMismatch('(a -> b) -> (b -> a)', [getType(fn), '(b -> a)'].join(' -> '), 'flip'), ); return fn(b, a); }); const forEach = curry(function forEach(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(a -> ()) -> [a] -> ()', [getType(fn), getType(xs), '()'].join(' -> '), 'forEach'), ); xs.forEach(fn); }); const intercalate = curry(function intercalate(str, xs) { assert( typeof str === 'string' && Array.isArray(xs) && (xs.length === 0 || typeof xs[0] === 'string'), typeMismatch('String -> [String] -> String', [getType(str), getType(xs), 'String'].join(' -> '), 'intercalate'), ); return xs.join(str); }); const head = function head(xs) { assert( Array.isArray(xs) || typeof xs === 'string', typeMismatch('[a] -> a', [getType(xs), 'a'].join(' -> '), 'head'), ); return xs[0]; }; const last = function last(xs) { assert( Array.isArray(xs) || typeof xs === 'string', typeMismatch('[a] -> a', [getType(xs), 'a'].join(' -> '), 'last'), ); return xs[xs.length - 1]; }; const match = curry(function match(re, str) { assert( re instanceof RegExp && typeof str === 'string', typeMismatch('RegExp -> String -> Boolean', [getType(re), getType(str), 'Boolean'].join(' -> '), 'match'), ); return re.test(str); }); const prop = curry(function prop(p, obj) { assert( typeof p === 'string' && typeof obj === 'object' && obj !== null, typeMismatch('String -> Object -> a', [getType(p), getType(obj), 'a'].join(' -> '), 'prop'), ); return obj[p]; }); const reduce = curry(function reduce(fn, zero, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('(b -> a -> b) -> b -> [a] -> b', [getType(fn), getType(zero), getType(xs), 'b'].join(' -> '), 'reduce'), ); return xs.reduce( function $reduceIterator($acc, $x) { return fn($acc, $x); }, zero, ); }); const safeHead = namedAs('safeHead', compose(Maybe.of, head)); const safeProp = curry(function safeProp(p, obj) { return Maybe.of(prop(p, obj)); }); const sortBy = curry(function sortBy(fn, xs) { assert( typeof fn === 'function' && Array.isArray(xs), typeMismatch('Ord b => (a -> b) -> [a] -> [a]', [getType(fn), getType(xs), '[a]'].join(' -> '), 'sortBy'), ); return xs.sort((a, b) => { if (fn(a) === fn(b)) { return 0; } return fn(a) > fn(b) ? 1 : -1; }); }); const split = curry(function split(s, str) { assert( typeof s === 'string' && typeof str === 'string', typeMismatch('String -> String -> [String]', [getType(s), getType(str), '[String]'].join(' -> '), 'split'), ); return str.split(s); }); const take = curry(function take(n, xs) { assert( typeof n === 'number' && (Array.isArray(xs) || typeof xs === 'string'), typeMismatch('Number -> [a] -> [a]', [getType(n), getType(xs), getType(xs)].join(' -> '), 'take'), ); return xs.slice(0, n); }); const toLowerCase = function toLowerCase(s) { assert( typeof s === 'string', typeMismatch('String -> String', [getType(s), '?'].join(' -> '), 'toLowerCase'), ); return s.toLowerCase(); }; const toUpperCase = function toUpperCase(s) { assert( typeof s === 'string', typeMismatch('String -> String', [getType(s), '?'].join(' -> '), 'toLowerCase'), ); return s.toUpperCase(); }; /* ---------- Chapter 4 ---------- */ const keepHighest = function keepHighest(x, y) { try { keepHighest.calledBy = keepHighest.caller; } catch (err) { // NOTE node.js runs in strict mode and prohibit the usage of '.caller' // There's a ugly hack to retrieve the caller from stack trace. const [, caller] = /at (\S+)/.exec(err.stack.split('\n')[2]); keepHighest.calledBy = namedAs(caller, () => {}); } return x >= y ? x : y; }; /* ---------- Chapter 5 ---------- */ const cars = [{ name: 'Ferrari FF', horsepower: 660, dollar_value: 700000, in_stock: true, }, { name: 'Spyker C12 Zagato', horsepower: 650, dollar_value: 648000, in_stock: false, }, { name: 'Jaguar XKR-S', horsepower: 550, dollar_value: 132000, in_stock: true, }, { name: 'Audi R8', horsepower: 525, dollar_value: 114200, in_stock: false, }, { name: 'Aston Martin One-77', horsepower: 750, dollar_value: 1850000, in_stock: true, }, { name: 'Pagani Huayra', horsepower: 700, dollar_value: 1300000, in_stock: false, }]; const average = function average(xs) { return xs.reduce(add, 0) / xs.length; }; /* ---------- Chapter 8 ---------- */ const albert = { id: 1, active: true, name: 'Albert', address: { street: { number: 22, name: 'Walnut St', }, }, }; const gary = { id: 2, active: false, name: 'Gary', address: { street: { number: 14, }, }, }; const theresa = { id: 3, active: true, name: 'Theresa', }; const yi = { id: 4, name: 'Yi', active: true }; const showWelcome = namedAs('showWelcome', compose(concat('Welcome '), prop('name'))); const checkActive = function checkActive(user) { return user.active ? Either.of(user) : left('Your account is not active'); }; const save = function save(user) { return new IO(() => Object.assign({}, user, { saved: true })); }; const validateUser = curry(function validateUser(validate, user) { return validate(user).map(_ => user); // eslint-disable-line no-unused-vars }); /* ---------- Chapter 9 ---------- */ const getFile = IO.of('/home/mostly-adequate/ch09.md'); const pureLog = function pureLog(str) { return new IO(() => { console.log(str); return str; }); }; const addToMailingList = function addToMailingList(email) { return IO.of([email]); }; const emailBlast = function emailBlast(list) { return IO.of(list.join(',')); }; const validateEmail = function validateEmail(x) { return /\S+@\S+\.\S+/.test(x) ? Either.of(x) : left('invalid email'); }; /* ---------- Chapter 10 ---------- */ const localStorage = { player1: albert, player2: theresa }; const game = curry(function game(p1, p2) { return `${p1.name} vs ${p2.name}`; }); const getFromCache = function getFromCache(x) { return new IO(() => localStorage[x]); }; /* ---------- Chapter 11 ---------- */ const findUserById = function findUserById(id) { switch (id) { case 1: return Task.of(Either.of(albert)); case 2: return Task.of(Either.of(gary)); case 3: return Task.of(Either.of(theresa)); default: return Task.of(left('not found')); } }; const eitherToTask = namedAs('eitherToTask', either(Task.rejected, Task.of)); /* ---------- Chapter 12 ---------- */ const httpGet = function httpGet(route) { return Task.of(`json for ${route}`); }; const routes = new Map({ '/': '/', '/about': '/about', }); const validate = function validate(player) { return player.name ? Either.of(player) : left('must have name'); }; const readdir = function readdir(dir) { return Task.of(['file1', 'file2', 'file3']); }; const readfile = curry(function readfile(encoding, file) { return Task.of(`content of ${file} (${encoding})`); }); /* ---------- Exports ---------- */ if (typeof module === 'object') { module.exports = { // Utils withSpyOn, // Essential FP helpers always, compose, curry, either, identity, inspect, left, liftA2, liftA3, maybe, nothing, reject, // Algebraic Data Structures Either, IO, Identity, Left, List, Map, Maybe, Right, Task, // Currified version of 'standard' functions append, add, chain, concat, eq, filter, flip, forEach, head, intercalate, join, last, map, match, prop, reduce, safeHead, safeProp, sequence, sortBy, split, take, toLowerCase, toUpperCase, traverse, unsafePerformIO, // Chapter 04 keepHighest, // Chapter 05 cars, average, // Chapter 08 albert, gary, theresa, yi, showWelcome, checkActive, save, validateUser, // Chapter 09 getFile, pureLog, addToMailingList, emailBlast, validateEmail, // Chapter 10 localStorage, getFromCache, game, // Chapter 11 findUserById, eitherToTask, // Chapter 12 httpGet, routes, validate, readdir, readfile, }; }