├── .eslintrc.yml ├── .github └── FUNDING.yml ├── .gitignore ├── LICENSE ├── contributing.md ├── package.json ├── readme.md └── yarn.lock /.eslintrc.yml: -------------------------------------------------------------------------------- 1 | --- 2 | extends: 3 | - "standard" 4 | - "plugin:markdown/recommended" 5 | plugins: [markdown] 6 | rules: 7 | no-unused-vars: 0 8 | eqeqeq: 0 9 | no-undef: 0 10 | no-extend-native: 0 11 | -------------------------------------------------------------------------------- /.github/FUNDING.yml: -------------------------------------------------------------------------------- 1 | # These are supported funding model platforms 2 | 3 | github: hemanth 4 | patreon: fpjargon 5 | custom: https://paypal.me/gnumanth 6 | -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | node_modules 2 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | The MIT License (MIT) 2 | 3 | Copyright (c) 2015 Hemanth.HM 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /contributing.md: -------------------------------------------------------------------------------- 1 | # Contributing 2 | 3 | This project is a work in progress. Contributions are very welcome. 4 | 5 | ## Hard rules 6 | There is a pre-commit hook that runs: `npm run test && npm run roadmarks` for linting the readme and creating the TOC. 7 | 8 | That said, we'd like to maintain some consistency across the document. 9 | 10 | ## Style guide 11 | 1. Every definition should include at least one JavaScript code example. 12 | 1. Definitions should be written using the simplest language possible. Every word should tell. 13 | 1. Target programmers that have no functional programming experience. 14 | 1. We value understandability more than accuracy. e.g. It's okay to describe a functor as a container. 15 | 1. Don't overuse jargon even if defined elsewhere in the document. 16 | 1. Link to terms defined in the document when you use them in a definition. 17 | 1. Avoid big walls of text 18 | 19 | ## Code conventions 20 | [![JavaScript Style Guide](https://cdn.rawgit.com/feross/standard/master/badge.svg)](https://github.com/feross/standard) 21 | 22 | * Be consistent with other examples 23 | * Prefer arrow functions 24 | * Parenthesis around function arguments 25 | * Put output values in comments 26 | * Keep it short and simple 27 | 28 | This styleguide is a WIP too! Send PRs :) 29 | -------------------------------------------------------------------------------- /package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "functional-programming-jargons", 3 | "version": "1.0.0", 4 | "description": "Jargon from the functional programming world in simple terms!", 5 | "main": "index.js", 6 | "scripts": { 7 | "test": "eslint readme.md", 8 | "toc": "roadmarks" 9 | }, 10 | "repository": { 11 | "type": "git", 12 | "url": "git+https://github.com/hemanth/functional-programming-jargon.git" 13 | }, 14 | "author": "hemanth", 15 | "license": "MIT", 16 | "bugs": { 17 | "url": "https://github.com/hemanth/functional-programming-jargon/issues" 18 | }, 19 | "homepage": "https://github.com/hemanth/functional-programming-jargon#readme", 20 | "devDependencies": { 21 | "eslint": "^8.20.0", 22 | "eslint-config-standard": "^17.0.0", 23 | "eslint-plugin-import": "^2.26.0", 24 | "eslint-plugin-markdown": "^3.0.0", 25 | "eslint-plugin-n": "^15.2.4", 26 | "eslint-plugin-promise": "^6.0.0", 27 | "eslint-plugin-standard": "^5.0.0", 28 | "pre-commit": "^1.2.2", 29 | "roadmarks": "^1.6.3" 30 | }, 31 | "pre-commit": [ 32 | "test", 33 | "toc" 34 | ] 35 | } 36 | -------------------------------------------------------------------------------- /readme.md: -------------------------------------------------------------------------------- 1 | # Functional Programming Jargon 2 | 3 | Functional programming (FP) provides many advantages, and its popularity has been increasing as a result. However, each programming paradigm comes with its own unique jargon and FP is no exception. By providing a glossary, we hope to make learning FP easier. 4 | 5 | Examples are presented in JavaScript (ES2015). [Why JavaScript?](https://github.com/hemanth/functional-programming-jargon/wiki/Why-JavaScript%3F) 6 | 7 | Where applicable, this document uses terms defined in the [Fantasy Land spec](https://github.com/fantasyland/fantasy-land). 8 | 9 | __Translations__ 10 | * [Portuguese](https://github.com/alexmoreno/jargoes-programacao-funcional) 11 | * [Spanish](https://github.com/idcmardelplata/functional-programming-jargon/tree/master) 12 | * [Chinese](https://github.com/shfshanyue/fp-jargon-zh) 13 | * [Bahasa Indonesia](https://github.com/wisn/jargon-pemrograman-fungsional) 14 | * [Python World](https://github.com/jmesyou/functional-programming-jargon.py) 15 | * [Scala World](https://github.com/ikhoon/functional-programming-jargon.scala) 16 | * [Rust World](https://github.com/JasonShin/functional-programming-jargon.rs) 17 | * [Korean](https://github.com/sphilee/functional-programming-jargon) 18 | * [Polish](https://github.com/Deloryn/functional-programming-jargon) 19 | * [Haskell Turkish](https://github.com/mrtkp9993/functional-programming-jargon) 20 | * [Haskell Russian](https://github.com/epogrebnyak/functional-programming-jargon) 21 | * [Julia World](https://github.com/Moelf/functional-programming-jargon.jl) 22 | * [French](https://github.com/marcwrobel/functional-programming-jargon-fr) 23 | 24 | __Table of Contents__ 25 | 26 | 27 | * [Arity](#arity) 28 | * [Higher-Order Functions (HOF)](#higher-order-functions-hof) 29 | * [Closure](#closure) 30 | * [Partial Application](#partial-application) 31 | * [Currying](#currying) 32 | * [Auto Currying](#auto-currying) 33 | * [Function Composition](#function-composition) 34 | * [Continuation](#continuation) 35 | * [Pure Function](#pure-function) 36 | * [Side effects](#side-effects) 37 | * [Idempotence](#idempotence) 38 | * [Point-Free Style](#point-free-style) 39 | * [Predicate](#predicate) 40 | * [Contracts](#contracts) 41 | * [Category](#category) 42 | * [Value](#value) 43 | * [Constant](#constant) 44 | * [Constant Function](#constant-function) 45 | * [Constant Functor](#constant-functor) 46 | * [Constant Monad](#constant-monad) 47 | * [Functor](#functor) 48 | * [Pointed Functor](#pointed-functor) 49 | * [Lift](#lift) 50 | * [Referential Transparency](#referential-transparency) 51 | * [Equational Reasoning](#equational-reasoning) 52 | * [Lambda](#lambda) 53 | * [Lambda Calculus](#lambda-calculus) 54 | * [Functional Combinator](#functional-combinator) 55 | * [Lazy evaluation](#lazy-evaluation) 56 | * [Monoid](#monoid) 57 | * [Monad](#monad) 58 | * [Comonad](#comonad) 59 | * [Kleisli Composition](#kleisli-composition) 60 | * [Applicative Functor](#applicative-functor) 61 | * [Morphism](#morphism) 62 | * [Homomorphism](#homomorphism) 63 | * [Endomorphism](#endomorphism) 64 | * [Isomorphism](#isomorphism) 65 | * [Catamorphism](#catamorphism) 66 | * [Anamorphism](#anamorphism) 67 | * [Hylomorphism](#hylomorphism) 68 | * [Paramorphism](#paramorphism) 69 | * [Apomorphism](#apomorphism) 70 | * [Setoid](#setoid) 71 | * [Semigroup](#semigroup) 72 | * [Foldable](#foldable) 73 | * [Lens](#lens) 74 | * [Type Signatures](#type-signatures) 75 | * [Algebraic data type](#algebraic-data-type) 76 | * [Sum type](#sum-type) 77 | * [Product type](#product-type) 78 | * [Option](#option) 79 | * [Function](#function) 80 | * [Partial function](#partial-function) 81 | * [Dealing with partial functions](#dealing-with-partial-functions) 82 | * [Total Function](#total-function) 83 | * [Functional Programming Libraries in JavaScript](#functional-programming-libraries-in-javascript) 84 | 85 | 86 | 87 | 88 | ## Arity 89 | 90 | The number of arguments a function takes. From words like unary, binary, ternary, etc. 91 | 92 | ```js 93 | const sum = (a, b) => a + b 94 | // The arity of sum is 2 (binary) 95 | const inc = a => a + 1 96 | // The arity of inc is 1 (unary) 97 | const zero = () => 0 98 | // The arity of zero is 0 (nullary) 99 | ``` 100 | 101 | __Further reading__ 102 | 103 | * [Arity](https://en.wikipedia.org/wiki/Arity) on Wikipedia 104 | 105 | ## Higher-Order Functions (HOF) 106 | 107 | A function which takes a function as an argument and/or returns a function. 108 | 109 | ```js 110 | const filter = (predicate, xs) => xs.filter(predicate) 111 | ``` 112 | 113 | ```js 114 | const is = (type) => (x) => Object(x) instanceof type 115 | ``` 116 | 117 | ```js 118 | filter(is(Number), [0, '1', 2, null]) // [0, 2] 119 | ``` 120 | 121 | ## Closure 122 | 123 | A closure is a scope which captures local variables of a function for access even after the execution has moved out of the block in which it is defined. 124 | This allows the values in the closure to be accessed by returned functions. 125 | 126 | ```js 127 | const addTo = x => y => x + y 128 | const addToFive = addTo(5) 129 | addToFive(3) // => 8 130 | ``` 131 | 132 | In this case the `x` is retained in `addToFive`'s closure with the value `5`. `addToFive` can then be called with the `y` 133 | to get back the sum. 134 | 135 | __Further reading/Sources__ 136 | * [Lambda Vs Closure](http://stackoverflow.com/questions/220658/what-is-the-difference-between-a-closure-and-a-lambda) 137 | * [JavaScript Closures highly voted discussion](http://stackoverflow.com/questions/111102/how-do-javascript-closures-work) 138 | 139 | ## Partial Application 140 | 141 | Partially applying a function means creating a new function by pre-filling some of the arguments to the original function. 142 | 143 | ```js 144 | // Helper to create partially applied functions 145 | // Takes a function and some arguments 146 | const partial = (f, ...args) => 147 | // returns a function that takes the rest of the arguments 148 | (...moreArgs) => 149 | // and calls the original function with all of them 150 | f(...args, ...moreArgs) 151 | 152 | // Something to apply 153 | const add3 = (a, b, c) => a + b + c 154 | 155 | // Partially applying `2` and `3` to `add3` gives you a one-argument function 156 | const fivePlus = partial(add3, 2, 3) // (c) => 2 + 3 + c 157 | 158 | fivePlus(4) // 9 159 | ``` 160 | 161 | You can also use `Function.prototype.bind` to partially apply a function in JS: 162 | 163 | ```js 164 | const add1More = add3.bind(null, 2, 3) // (c) => 2 + 3 + c 165 | ``` 166 | 167 | Partial application helps create simpler functions from more complex ones by baking in data when you have it. [Curried](#currying) functions are automatically partially applied. 168 | 169 | ## Currying 170 | 171 | The process of converting a function that takes multiple arguments into a function that takes them one at a time. 172 | 173 | Each time the function is called it only accepts one argument and returns a function that takes one argument until all arguments are passed. 174 | 175 | ```js 176 | const sum = (a, b) => a + b 177 | 178 | const curriedSum = (a) => (b) => a + b 179 | 180 | curriedSum(40)(2) // 42. 181 | 182 | const add2 = curriedSum(2) // (b) => 2 + b 183 | 184 | add2(10) // 12 185 | ``` 186 | 187 | ## Auto Currying 188 | 189 | Transforming a function that takes multiple arguments into one that if given less than its correct number of arguments returns a function that takes the rest. When the function gets the correct number of arguments it is then evaluated. 190 | 191 | Lodash & Ramda have a `curry` function that works this way. 192 | 193 | ```js 194 | const add = (x, y) => x + y 195 | 196 | const curriedAdd = _.curry(add) 197 | curriedAdd(1, 2) // 3 198 | curriedAdd(1) // (y) => 1 + y 199 | curriedAdd(1)(2) // 3 200 | ``` 201 | 202 | __Further reading__ 203 | * [Favoring Curry](http://fr.umio.us/favoring-curry/) 204 | * [Hey Underscore, You're Doing It Wrong!](https://www.youtube.com/watch?v=m3svKOdZijA) 205 | 206 | ## Function Composition 207 | 208 | The act of putting two functions together to form a third function where the output of one function is the input of the other. This is one of the most important ideas of functional programming. 209 | 210 | ```js 211 | const compose = (f, g) => (a) => f(g(a)) // Definition 212 | const floorAndToString = compose((val) => val.toString(), Math.floor) // Usage 213 | floorAndToString(121.212121) // '121' 214 | ``` 215 | 216 | ## Continuation 217 | 218 | At any given point in a program, the part of the code that's yet to be executed is known as a continuation. 219 | 220 | ```js 221 | const printAsString = (num) => console.log(`Given ${num}`) 222 | 223 | const addOneAndContinue = (num, cc) => { 224 | const result = num + 1 225 | cc(result) 226 | } 227 | 228 | addOneAndContinue(2, printAsString) // 'Given 3' 229 | ``` 230 | 231 | Continuations are often seen in asynchronous programming when the program needs to wait to receive data before it can continue. The response is often passed off to the rest of the program, which is the continuation, once it's been received. 232 | 233 | ```js 234 | const continueProgramWith = (data) => { 235 | // Continues program with data 236 | } 237 | 238 | readFileAsync('path/to/file', (err, response) => { 239 | if (err) { 240 | // handle error 241 | return 242 | } 243 | continueProgramWith(response) 244 | }) 245 | ``` 246 | 247 | ## Pure Function 248 | 249 | A function is pure if the return value is only determined by its input values, and does not produce side effects. The function must always return the same result when given the same input. 250 | 251 | ```js 252 | const greet = (name) => `Hi, ${name}` 253 | 254 | greet('Brianne') // 'Hi, Brianne' 255 | ``` 256 | 257 | As opposed to each of the following: 258 | 259 | ```js 260 | window.name = 'Brianne' 261 | 262 | const greet = () => `Hi, ${window.name}` 263 | 264 | greet() // "Hi, Brianne" 265 | ``` 266 | 267 | The above example's output is based on data stored outside of the function... 268 | 269 | ```js 270 | let greeting 271 | 272 | const greet = (name) => { 273 | greeting = `Hi, ${name}` 274 | } 275 | 276 | greet('Brianne') 277 | greeting // "Hi, Brianne" 278 | ``` 279 | 280 | ... and this one modifies state outside of the function. 281 | 282 | ## Side effects 283 | 284 | A function or expression is said to have a side effect if apart from returning a value, it interacts with (reads from or writes to) external mutable state. 285 | 286 | ```js 287 | const differentEveryTime = new Date() 288 | ``` 289 | 290 | ```js 291 | console.log('IO is a side effect!') 292 | ``` 293 | 294 | ## Idempotence 295 | 296 | A function is idempotent if reapplying it to its result does not produce a different result. 297 | 298 | ```js 299 | Math.abs(Math.abs(10)) 300 | ``` 301 | 302 | ```js 303 | sort(sort(sort([2, 1]))) 304 | ``` 305 | 306 | ## Point-Free Style 307 | 308 | Writing functions where the definition does not explicitly identify the arguments used. This style usually requires [currying](#currying) or other [Higher-Order functions](#higher-order-functions-hof). A.K.A Tacit programming. 309 | 310 | ```js 311 | // Given 312 | const map = (fn) => (list) => list.map(fn) 313 | const add = (a) => (b) => a + b 314 | 315 | // Then 316 | 317 | // Not point-free - `numbers` is an explicit argument 318 | const incrementAll = (numbers) => map(add(1))(numbers) 319 | 320 | // Point-free - The list is an implicit argument 321 | const incrementAll2 = map(add(1)) 322 | ``` 323 | 324 | Point-free function definitions look just like normal assignments without `function` or `=>`. It's worth mentioning that point-free functions are not necessarily better than their counterparts, as they can be more difficult to understand when complex. 325 | 326 | ## Predicate 327 | 328 | A predicate is a function that returns true or false for a given value. A common use of a predicate is as the callback for array filter. 329 | 330 | ```js 331 | const predicate = (a) => a > 2 332 | 333 | ;[1, 2, 3, 4].filter(predicate) // [3, 4] 334 | ``` 335 | 336 | ## Contracts 337 | 338 | A contract specifies the obligations and guarantees of the behavior from a function or expression at runtime. This acts as a set of rules that are expected from the input and output of a function or expression, and errors are generally reported whenever a contract is violated. 339 | 340 | ```js 341 | // Define our contract : int -> boolean 342 | const contract = (input) => { 343 | if (typeof input === 'number') return true 344 | throw new Error('Contract violated: expected int -> boolean') 345 | } 346 | 347 | const addOne = (num) => contract(num) && num + 1 348 | 349 | addOne(2) // 3 350 | addOne('some string') // Contract violated: expected int -> boolean 351 | ``` 352 | 353 | ## Category 354 | 355 | A category in category theory is a collection of objects and morphisms between them. In programming, typically types 356 | act as the objects and functions as morphisms. 357 | 358 | To be a valid category, three rules must be met: 359 | 360 | 1. There must be an identity morphism that maps an object to itself. 361 | Where `a` is an object in some category, 362 | there must be a function from `a -> a`. 363 | 2. Morphisms must compose. 364 | Where `a`, `b`, and `c` are objects in some category, 365 | and `f` is a morphism from `a -> b`, and `g` is a morphism from `b -> c`; 366 | `g(f(x))` must be equivalent to `(g • f)(x)`. 367 | 3. Composition must be associative 368 | `f • (g • h)` is the same as `(f • g) • h`. 369 | 370 | Since these rules govern composition at very abstract level, category theory is great at uncovering new ways of composing things. 371 | 372 | As an example we can define a category Max as a class: 373 | 374 | ```js 375 | 376 | class Max { 377 | constructor (a) { 378 | this.a = a 379 | } 380 | 381 | id () { 382 | return this 383 | } 384 | 385 | compose (b) { 386 | return this.a > b.a ? this : b 387 | } 388 | 389 | toString () { 390 | return `Max(${this.a})` 391 | } 392 | } 393 | 394 | new Max(2).compose(new Max(3)).compose(new Max(5)).id().id() // => Max(5) 395 | ``` 396 | 397 | __Further reading__ 398 | 399 | * [Category Theory for Programmers](https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/) 400 | 401 | ## Value 402 | 403 | Anything that can be assigned to a variable. 404 | 405 | ```js 406 | 5 407 | Object.freeze({ name: 'John', age: 30 }) // The `freeze` function enforces immutability. 408 | ;(a) => a 409 | ;[1] 410 | undefined 411 | ``` 412 | 413 | ## Constant 414 | 415 | A variable that cannot be reassigned once defined. 416 | 417 | ```js 418 | const five = 5 419 | const john = Object.freeze({ name: 'John', age: 30 }) 420 | ``` 421 | 422 | Constants are [referentially transparent](#referential-transparency). That is, they can be replaced with the values that they represent without affecting the result. 423 | 424 | With the above two constants the following expression will always return `true`. 425 | 426 | ```js 427 | john.age + five === ({ name: 'John', age: 30 }).age + 5 428 | ``` 429 | 430 | ### Constant Function 431 | 432 | A [curried](#currying) function that ignores its second argument: 433 | 434 | ```js 435 | const constant = a => () => a 436 | 437 | ;[1, 2].map(constant(0)) // => [0, 0] 438 | ``` 439 | 440 | ### Constant Functor 441 | 442 | Object whose `map` doesn't transform the contents. See [Functor](#functor). 443 | 444 | ```js 445 | Constant(1).map(n => n + 1) // => Constant(1) 446 | ``` 447 | 448 | ### Constant Monad 449 | 450 | Object whose `chain` doesn't transform the contents. See [Monad](#monad). 451 | 452 | ```js 453 | Constant(1).chain(n => Constant(n + 1)) // => Constant(1) 454 | ``` 455 | 456 | ## Functor 457 | 458 | An object that implements a `map` function that takes a function which is run on the contents of that object. A functor must adhere to two rules: 459 | 460 | __Preserves identity__ 461 | 462 | ```js 463 | object.map(x => x) 464 | ``` 465 | 466 | is equivalent to just `object`. 467 | 468 | __Composable__ 469 | 470 | ```js 471 | object.map(x => g(f(x))) 472 | ``` 473 | 474 | is equivalent to 475 | 476 | ```js 477 | object.map(f).map(g) 478 | ``` 479 | 480 | (`f`, `g` are arbitrary composable functions) 481 | 482 | The reference implementation of [Option](#option) is a functor as it satisfies the rules: 483 | 484 | ```js 485 | Some(1).map(x => x) // = Some(1) 486 | ``` 487 | 488 | and 489 | 490 | ```js 491 | const f = x => x + 1 492 | const g = x => x * 2 493 | 494 | Some(1).map(x => g(f(x))) // = Some(4) 495 | Some(1).map(f).map(g) // = Some(4) 496 | ``` 497 | 498 | ## Pointed Functor 499 | 500 | An object with an `of` function that puts _any_ single value into it. 501 | 502 | ES2015 adds `Array.of` making arrays a pointed functor. 503 | 504 | ```js 505 | Array.of(1) // [1] 506 | ``` 507 | 508 | ## Lift 509 | 510 | Lifting is when you take a value and put it into an object like a [functor](#pointed-functor). If you lift a function into an [Applicative Functor](#applicative-functor) then you can make it work on values that are also in that functor. 511 | 512 | Some implementations have a function called `lift`, or `liftA2` to make it easier to run functions on functors. 513 | 514 | ```js 515 | const liftA2 = (f) => (a, b) => a.map(f).ap(b) // note it's `ap` and not `map`. 516 | 517 | const mult = a => b => a * b 518 | 519 | const liftedMult = liftA2(mult) // this function now works on functors like array 520 | 521 | liftedMult([1, 2], [3]) // [3, 6] 522 | liftA2(a => b => a + b)([1, 2], [30, 40]) // [31, 41, 32, 42] 523 | ``` 524 | 525 | Lifting a one-argument function and applying it does the same thing as `map`. 526 | 527 | ```js 528 | const increment = (x) => x + 1 529 | 530 | lift(increment)([2]) // [3] 531 | ;[2].map(increment) // [3] 532 | ``` 533 | 534 | Lifting simple values can be simply creating the object. 535 | 536 | ```js 537 | Array.of(1) // => [1] 538 | ``` 539 | 540 | ## Referential Transparency 541 | 542 | An expression that can be replaced with its value without changing the 543 | behavior of the program is said to be referentially transparent. 544 | 545 | Given the function greet: 546 | 547 | ```js 548 | const greet = () => 'Hello World!' 549 | ``` 550 | 551 | Any invocation of `greet()` can be replaced with `Hello World!` hence greet is 552 | referentially transparent. This would be broken if greet depended on external 553 | state like configuration or a database call. See also [Pure Function](#pure-function) and 554 | [Equational Reasoning](#equational-reasoning). 555 | 556 | ## Equational Reasoning 557 | 558 | When an application is composed of expressions and devoid of side effects, 559 | truths about the system can be derived from the parts. You can also be confident 560 | about details of your system without having to go through every function. 561 | 562 | ```js 563 | const grainToDogs = compose(chickenIntoDogs, grainIntoChicken) 564 | const grainToCats = compose(dogsIntoCats, grainToDogs) 565 | ``` 566 | 567 | In the example above, if you know that `chickenIntoDogs` and `grainIntoChicken` 568 | are [pure](#pure-function) then you know that the composition is pure. This can be taken further 569 | when more is known about the functions (associative, commutative, idempotent, etc...). 570 | 571 | ## Lambda 572 | 573 | An anonymous function that can be treated like a value. 574 | 575 | ```js 576 | ;(function (a) { 577 | return a + 1 578 | }) 579 | 580 | ;(a) => a + 1 581 | ``` 582 | 583 | Lambdas are often passed as arguments to Higher-Order functions: 584 | 585 | ```js 586 | ;[1, 2].map((a) => a + 1) // [2, 3] 587 | ``` 588 | 589 | You can assign a lambda to a variable: 590 | 591 | ```js 592 | const add1 = (a) => a + 1 593 | ``` 594 | 595 | ## Lambda Calculus 596 | 597 | A branch of mathematics that uses functions to create a [universal model of computation](https://en.wikipedia.org/wiki/Lambda_calculus). 598 | 599 | ## Functional Combinator 600 | 601 | A higher-order function, usually curried, which returns a new function changed in some way. Functional combinators are often used in [Point-Free Style](#point-free-style) to write especially terse programs. 602 | 603 | ```js 604 | // The "C" combinator takes a curried two-argument function and returns one which calls the original function with the arguments reversed. 605 | const C = (f) => (a) => (b) => f(b)(a) 606 | 607 | const divide = (a) => (b) => a / b 608 | 609 | const divideBy = C(divide) 610 | 611 | const divBy10 = divideBy(10) 612 | 613 | divBy10(30) // => 3 614 | ``` 615 | 616 | See also [List of Functional Combinators in JavaScript](https://gist.github.com/Avaq/1f0636ec5c8d6aed2e45) which includes links to more references. 617 | 618 | ## Lazy evaluation 619 | 620 | Lazy evaluation is a call-by-need evaluation mechanism that delays the evaluation of an expression until its value is needed. In functional languages, this allows for structures like infinite lists, which would not normally be available in an imperative language where the sequencing of commands is significant. 621 | 622 | ```js 623 | const rand = function * () { 624 | while (1 < 2) { 625 | yield Math.random() 626 | } 627 | } 628 | ``` 629 | 630 | ```js 631 | const randIter = rand() 632 | randIter.next() // Each execution gives a random value, expression is evaluated on need. 633 | ``` 634 | 635 | ## Monoid 636 | 637 | An object with a function that "combines" that object with another of the same type (semigroup) which has an "identity" value. 638 | 639 | One simple monoid is the addition of numbers: 640 | 641 | ```js 642 | 1 + 1 // 2 643 | ``` 644 | 645 | In this case number is the object and `+` is the function. 646 | 647 | When any value is combined with the "identity" value the result must be the original value. The identity must also be commutative. 648 | 649 | The identity value for addition is `0`. 650 | 651 | ```js 652 | 1 + 0 // 1 653 | 0 + 1 // 1 654 | 1 + 0 === 0 + 1 655 | ``` 656 | 657 | It's also required that the grouping of operations will not affect the result (associativity): 658 | 659 | ```js 660 | 1 + (2 + 3) === (1 + 2) + 3 // true 661 | ``` 662 | 663 | Array concatenation also forms a monoid: 664 | 665 | ```js 666 | ;[1, 2].concat([3, 4]) // [1, 2, 3, 4] 667 | ``` 668 | 669 | The identity value is empty array `[]`: 670 | 671 | ```js 672 | ;[1, 2].concat([]) // [1, 2] 673 | ``` 674 | 675 | As a counterexample, subtraction does not form a monoid because there is no commutative identity value: 676 | 677 | ```js 678 | 0 - 4 === 4 - 0 // false 679 | ``` 680 | 681 | ## Monad 682 | 683 | A monad is an object with [`of`](#pointed-functor) and `chain` functions. `chain` is like [`map`](#functor) except it un-nests the resulting nested object. 684 | 685 | ```js 686 | // Implementation 687 | Array.prototype.chain = function (f) { 688 | return this.reduce((acc, it) => acc.concat(f(it)), []) 689 | } 690 | 691 | // Usage 692 | Array.of('cat,dog', 'fish,bird').chain((a) => a.split(',')) // ['cat', 'dog', 'fish', 'bird'] 693 | 694 | // Contrast to map 695 | Array.of('cat,dog', 'fish,bird').map((a) => a.split(',')) // [['cat', 'dog'], ['fish', 'bird']] 696 | ``` 697 | 698 | `of` is also known as `return` in other functional languages. 699 | `chain` is also known as `flatmap` and `bind` in other languages. 700 | 701 | ## Comonad 702 | 703 | An object that has `extract` and `extend` functions. 704 | 705 | ```js 706 | const CoIdentity = (v) => ({ 707 | val: v, 708 | extract () { 709 | return this.val 710 | }, 711 | extend (f) { 712 | return CoIdentity(f(this)) 713 | } 714 | }) 715 | ``` 716 | 717 | `extract` takes a value out of a functor: 718 | 719 | ```js 720 | CoIdentity(1).extract() // 1 721 | ``` 722 | 723 | `extend` runs a function on the comonad. The function should return the same type as the comonad: 724 | 725 | ```js 726 | CoIdentity(1).extend((co) => co.extract() + 1) // CoIdentity(2) 727 | ``` 728 | 729 | ## Kleisli Composition 730 | 731 | An operation for composing two [monad](#monad)-returning functions (Kleisli Arrows) where they have compatible types. In Haskell this is the `>=>` operator. 732 | 733 | Using [Option](#option): 734 | 735 | ```js 736 | // safeParseNum :: String -> Option Number 737 | const safeParseNum = (b) => { 738 | const n = parseNumber(b) 739 | return isNaN(n) ? None() : Some(n) 740 | } 741 | 742 | // validatePositive :: Number -> Option Number 743 | const validatePositive = (a) => a > 0 ? Some(a) : None() 744 | 745 | // kleisliCompose :: Monad M => ((b -> M c), (a -> M b)) -> a -> M c 746 | const kleisliCompose = (g, f) => (x) => f(x).chain(g) 747 | 748 | // parseAndValidate :: String -> Option Number 749 | const parseAndValidate = kleisliCompose(validatePositive, safeParseNum) 750 | 751 | parseAndValidate('1') // => Some(1) 752 | parseAndValidate('asdf') // => None 753 | parseAndValidate('999') // => Some(999) 754 | ``` 755 | 756 | This works because: 757 | 758 | * [option](#option) is a [monad](#monad), 759 | * both `validatePositive` and `safeParseNum` return the same kind of monad (Option), 760 | * the type of `validatePositive`'s argument matches `safeParseNum`'s unwrapped return. 761 | 762 | ## Applicative Functor 763 | 764 | An applicative functor is an object with an `ap` function. `ap` applies a function in the object to a value in another object of the same type. 765 | 766 | ```js 767 | // Implementation 768 | Array.prototype.ap = function (xs) { 769 | return this.reduce((acc, f) => acc.concat(xs.map(f)), []) 770 | } 771 | 772 | // Example usage 773 | ;[(a) => a + 1].ap([1]) // [2] 774 | ``` 775 | 776 | This is useful if you have two objects and you want to apply a binary function to their contents. 777 | 778 | ```js 779 | // Arrays that you want to combine 780 | const arg1 = [1, 3] 781 | const arg2 = [4, 5] 782 | 783 | // combining function - must be curried for this to work 784 | const add = (x) => (y) => x + y 785 | 786 | const partiallyAppliedAdds = [add].ap(arg1) // [(y) => 1 + y, (y) => 3 + y] 787 | ``` 788 | 789 | This gives you an array of functions that you can call `ap` on to get the result: 790 | 791 | ```js 792 | partiallyAppliedAdds.ap(arg2) // [5, 6, 7, 8] 793 | ``` 794 | 795 | ## Morphism 796 | 797 | A relationship between objects within a [category](#category). In the context of functional programming all functions are morphisms. 798 | 799 | ### Homomorphism 800 | 801 | A function where there is a structural property that is the same in the input as well as the output. 802 | 803 | For example, in a [Monoid](#monoid) homomorphism both the input and the output are monoids even if their types are different. 804 | 805 | ```js 806 | // toList :: [number] -> string 807 | const toList = (a) => a.join(', ') 808 | ``` 809 | 810 | `toList` is a homomorphism because: 811 | * array is a monoid - has a `concat` operation and an identity value (`[]`), 812 | * string is a monoid - has a `concat` operation and an identity value (`''`). 813 | 814 | In this way, a homomorphism relates to whatever property you care about in the input and output of a transformation. 815 | 816 | [Endomorphisms](#endomorphism) and [Isomorphisms](#isomorphism) are examples of homomorphisms. 817 | 818 | __Further Reading__ 819 | * [Homomorphism | Learning Functional Programming in Go](https://subscription.packtpub.com/book/application-development/9781787281394/11/ch11lvl1sec90/homomorphism#:~:text=A%20homomorphism%20is%20a%20correspondence,pointing%20to%20it%20from%20A.) 820 | 821 | ### Endomorphism 822 | 823 | A function where the input type is the same as the output. Since the types are identical, endomorphisms are also [homomorphisms](#homomorphism). 824 | 825 | ```js 826 | // uppercase :: String -> String 827 | const uppercase = (str) => str.toUpperCase() 828 | 829 | // decrement :: Number -> Number 830 | const decrement = (x) => x - 1 831 | ``` 832 | 833 | ### Isomorphism 834 | 835 | A morphism made of a pair of transformations between 2 types of objects that is structural in nature and no data is lost. 836 | 837 | For example, 2D coordinates could be stored as an array `[2,3]` or object `{x: 2, y: 3}`. 838 | 839 | ```js 840 | // Providing functions to convert in both directions makes the 2D coordinate structures isomorphic. 841 | const pairToCoords = (pair) => ({ x: pair[0], y: pair[1] }) 842 | 843 | const coordsToPair = (coords) => [coords.x, coords.y] 844 | 845 | coordsToPair(pairToCoords([1, 2])) // [1, 2] 846 | 847 | pairToCoords(coordsToPair({ x: 1, y: 2 })) // {x: 1, y: 2} 848 | ``` 849 | 850 | Isomorphisms are an interesting example of [morphism](#morphism) because more than single function is necessary for it to be satisfied. Isomorphisms are also [homomorphisms](#homomorphism) since both input and output types share the property of being reversible. 851 | 852 | ### Catamorphism 853 | 854 | A function which deconstructs a structure into a single value. `reduceRight` is an example of a catamorphism for array structures. 855 | 856 | ```js 857 | // sum is a catamorphism from [Number] -> Number 858 | const sum = xs => xs.reduceRight((acc, x) => acc + x, 0) 859 | 860 | sum([1, 2, 3, 4, 5]) // 15 861 | ``` 862 | 863 | ### Anamorphism 864 | 865 | A function that builds up a structure by repeatedly applying a function to its argument. `unfold` is an example which generates an array from a function and a seed value. This is the opposite of a [catamorphism](#catamorphism). You can think of this as an anamorphism builds up a structure and catamorphism breaks it down. 866 | 867 | ```js 868 | const unfold = (f, seed) => { 869 | function go (f, seed, acc) { 870 | const res = f(seed) 871 | return res ? go(f, res[1], acc.concat([res[0]])) : acc 872 | } 873 | return go(f, seed, []) 874 | } 875 | ``` 876 | 877 | ```js 878 | const countDown = n => unfold((n) => { 879 | return n <= 0 ? undefined : [n, n - 1] 880 | }, n) 881 | 882 | countDown(5) // [5, 4, 3, 2, 1] 883 | ``` 884 | 885 | ### Hylomorphism 886 | 887 | The function which composes an [anamorphism](#anamorphism) followed by a [catamorphism](#catamorphism). 888 | 889 | ```js 890 | const sumUpToX = (x) => sum(countDown(x)) 891 | sumUpToX(5) // 15 892 | ``` 893 | 894 | ### Paramorphism 895 | 896 | A function just like `reduceRight`. However, there's a difference: 897 | 898 | In paramorphism, your reducer's arguments are the current value, the reduction of all previous values, and the list of values that formed that reduction. 899 | 900 | ```js 901 | // Obviously not safe for lists containing `undefined`, 902 | // but good enough to make the point. 903 | const para = (reducer, accumulator, elements) => { 904 | if (elements.length === 0) { return accumulator } 905 | 906 | const head = elements[0] 907 | const tail = elements.slice(1) 908 | 909 | return reducer(head, tail, para(reducer, accumulator, tail)) 910 | } 911 | 912 | const suffixes = list => para( 913 | (x, xs, suffxs) => [xs, ...suffxs], 914 | [], 915 | list 916 | ) 917 | 918 | suffixes([1, 2, 3, 4, 5]) // [[2, 3, 4, 5], [3, 4, 5], [4, 5], [5], []] 919 | ``` 920 | 921 | The third parameter in the reducer (in the above example, `[x, ... xs]`) is kind of like having a history of what got you to your current acc value. 922 | 923 | ### Apomorphism 924 | 925 | The opposite of paramorphism, just as anamorphism is the opposite of catamorphism. With paramorphism, you retain access to the accumulator and what has been accumulated, apomorphism lets you `unfold` with the potential to return early. 926 | 927 | ## Setoid 928 | 929 | An object that has an `equals` function which can be used to compare other objects of the same type. 930 | 931 | Make array a setoid: 932 | 933 | ```js 934 | Array.prototype.equals = function (arr) { 935 | const len = this.length 936 | if (len !== arr.length) { 937 | return false 938 | } 939 | for (let i = 0; i < len; i++) { 940 | if (this[i] !== arr[i]) { 941 | return false 942 | } 943 | } 944 | return true 945 | } 946 | 947 | ;[1, 2].equals([1, 2]) // true 948 | ;[1, 2].equals([0]) // false 949 | ``` 950 | 951 | ## Semigroup 952 | 953 | An object that has a `concat` function that combines it with another object of the same type. 954 | 955 | ```js 956 | ;[1].concat([2]) // [1, 2] 957 | ``` 958 | 959 | ## Foldable 960 | 961 | An object that has a `reduce` function that applies a function against an accumulator and each element in the array (from left to right) to reduce it to a single value. 962 | 963 | ```js 964 | const sum = (list) => list.reduce((acc, val) => acc + val, 0) 965 | sum([1, 2, 3]) // 6 966 | ``` 967 | 968 | ## Lens 969 | 970 | A lens is a structure (often an object or function) that pairs a getter and a non-mutating setter for some other data 971 | structure. 972 | 973 | ```js 974 | // Using [Ramda's lens](http://ramdajs.com/docs/#lens) 975 | const nameLens = R.lens( 976 | // getter for name property on an object 977 | (obj) => obj.name, 978 | // setter for name property 979 | (val, obj) => Object.assign({}, obj, { name: val }) 980 | ) 981 | ``` 982 | 983 | Having the pair of get and set for a given data structure enables a few key features. 984 | 985 | ```js 986 | const person = { name: 'Gertrude Blanch' } 987 | 988 | // invoke the getter 989 | R.view(nameLens, person) // 'Gertrude Blanch' 990 | 991 | // invoke the setter 992 | R.set(nameLens, 'Shafi Goldwasser', person) // {name: 'Shafi Goldwasser'} 993 | 994 | // run a function on the value in the structure 995 | R.over(nameLens, uppercase, person) // {name: 'GERTRUDE BLANCH'} 996 | ``` 997 | 998 | Lenses are also composable. This allows easy immutable updates to deeply nested data. 999 | 1000 | ```js 1001 | // This lens focuses on the first item in a non-empty array 1002 | const firstLens = R.lens( 1003 | // get first item in array 1004 | xs => xs[0], 1005 | // non-mutating setter for first item in array 1006 | (val, [__, ...xs]) => [val, ...xs] 1007 | ) 1008 | 1009 | const people = [{ name: 'Gertrude Blanch' }, { name: 'Shafi Goldwasser' }] 1010 | 1011 | // Despite what you may assume, lenses compose left-to-right. 1012 | R.over(compose(firstLens, nameLens), uppercase, people) // [{'name': 'GERTRUDE BLANCH'}, {'name': 'Shafi Goldwasser'}] 1013 | ``` 1014 | 1015 | Other implementations: 1016 | * [partial.lenses](https://github.com/calmm-js/partial.lenses) - Tasty syntax sugar and a lot of powerful features 1017 | * [nanoscope](http://www.kovach.me/nanoscope/) - Fluent-interface 1018 | 1019 | ## Type Signatures 1020 | 1021 | Often functions in JavaScript will include comments that indicate the types of their arguments and return values. 1022 | 1023 | There's quite a bit of variance across the community, but they often follow the following patterns: 1024 | 1025 | ```js 1026 | // functionName :: firstArgType -> secondArgType -> returnType 1027 | 1028 | // add :: Number -> Number -> Number 1029 | const add = (x) => (y) => x + y 1030 | 1031 | // increment :: Number -> Number 1032 | const increment = (x) => x + 1 1033 | ``` 1034 | 1035 | If a function accepts another function as an argument it is wrapped in parentheses. 1036 | 1037 | ```js 1038 | // call :: (a -> b) -> a -> b 1039 | const call = (f) => (x) => f(x) 1040 | ``` 1041 | 1042 | The letters `a`, `b`, `c`, `d` are used to signify that the argument can be of any type. The following version of `map` takes a function that transforms a value of some type `a` into another type `b`, an array of values of type `a`, and returns an array of values of type `b`. 1043 | 1044 | ```js 1045 | // map :: (a -> b) -> [a] -> [b] 1046 | const map = (f) => (list) => list.map(f) 1047 | ``` 1048 | 1049 | __Further reading__ 1050 | * [Ramda's type signatures](https://github.com/ramda/ramda/wiki/Type-Signatures) 1051 | * [Mostly Adequate Guide](https://web.archive.org/web/20170602130913/https://drboolean.gitbooks.io/mostly-adequate-guide/content/ch7.html#whats-your-type) 1052 | * [What is Hindley-Milner?](http://stackoverflow.com/a/399392/22425) on Stack Overflow 1053 | 1054 | ## Algebraic data type 1055 | 1056 | A composite type made from putting other types together. Two common classes of algebraic types are [sum](#sum-type) and [product](#product-type). 1057 | 1058 | ### Sum type 1059 | 1060 | A Sum type is the combination of two types together into another one. It is called sum because the number of possible values in the result type is the sum of the input types. 1061 | 1062 | JavaScript doesn't have types like this, but we can use `Set`s to pretend: 1063 | 1064 | ```js 1065 | // imagine that rather than sets here we have types that can only have these values 1066 | const bools = new Set([true, false]) 1067 | const halfTrue = new Set(['half-true']) 1068 | 1069 | // The weakLogic type contains the sum of the values from bools and halfTrue 1070 | const weakLogicValues = new Set([...bools, ...halfTrue]) 1071 | ``` 1072 | 1073 | Sum types are sometimes called union types, discriminated unions, or tagged unions. 1074 | 1075 | There's a [couple](https://github.com/paldepind/union-type) [libraries](https://github.com/puffnfresh/daggy) in JS which help with defining and using union types. 1076 | 1077 | Flow includes [union types](https://flow.org/en/docs/types/unions/) and TypeScript has [Enums](https://www.typescriptlang.org/docs/handbook/enums.html) to serve the same role. 1078 | 1079 | ### Product type 1080 | 1081 | A **product** type combines types together in a way you're probably more familiar with: 1082 | 1083 | ```js 1084 | // point :: (Number, Number) -> {x: Number, y: Number} 1085 | const point = (x, y) => ({ x, y }) 1086 | ``` 1087 | It's called a product because the total possible values of the data structure is the product of the different values. Many languages have a tuple type which is the simplest formulation of a product type. 1088 | 1089 | __Further reading__ 1090 | * [Set theory](https://en.wikipedia.org/wiki/Set_theory) on Wikipedia 1091 | 1092 | ## Option 1093 | 1094 | Option is a [sum type](#sum-type) with two cases often called `Some` and `None`. 1095 | 1096 | Option is useful for composing functions that might not return a value. 1097 | 1098 | ```js 1099 | // Naive definition 1100 | 1101 | const Some = (v) => ({ 1102 | val: v, 1103 | map (f) { 1104 | return Some(f(this.val)) 1105 | }, 1106 | chain (f) { 1107 | return f(this.val) 1108 | } 1109 | }) 1110 | 1111 | const None = () => ({ 1112 | map (f) { 1113 | return this 1114 | }, 1115 | chain (f) { 1116 | return this 1117 | } 1118 | }) 1119 | 1120 | // maybeProp :: (String, {a}) -> Option a 1121 | const maybeProp = (key, obj) => typeof obj[key] === 'undefined' ? None() : Some(obj[key]) 1122 | ``` 1123 | 1124 | Use `chain` to sequence functions that return `Option`s: 1125 | 1126 | ```js 1127 | 1128 | // getItem :: Cart -> Option CartItem 1129 | const getItem = (cart) => maybeProp('item', cart) 1130 | 1131 | // getPrice :: Item -> Option Number 1132 | const getPrice = (item) => maybeProp('price', item) 1133 | 1134 | // getNestedPrice :: cart -> Option a 1135 | const getNestedPrice = (cart) => getItem(cart).chain(getPrice) 1136 | 1137 | getNestedPrice({}) // None() 1138 | getNestedPrice({ item: { foo: 1 } }) // None() 1139 | getNestedPrice({ item: { price: 9.99 } }) // Some(9.99) 1140 | ``` 1141 | 1142 | `Option` is also known as `Maybe`. `Some` is sometimes called `Just`. `None` is sometimes called `Nothing`. 1143 | 1144 | ## Function 1145 | 1146 | A **function** `f :: A => B` is an expression - often called arrow or lambda expression - with **exactly one (immutable)** parameter of type `A` and **exactly one** return value of type `B`. That value depends entirely on the argument, making functions context-independent, or [referentially transparent](#referential-transparency). What is implied here is that a function must not produce any hidden [side effects](#side-effects) - a function is always [pure](#pure-function), by definition. These properties make functions pleasant to work with: they are entirely deterministic and therefore predictable. Functions enable working with code as data, abstracting over behaviour: 1147 | 1148 | ```js 1149 | // times2 :: Number -> Number 1150 | const times2 = n => n * 2 1151 | 1152 | ;[1, 2, 3].map(times2) // [2, 4, 6] 1153 | ``` 1154 | 1155 | ## Partial function 1156 | 1157 | A partial function is a [function](#function) which is not defined for all arguments - it might return an unexpected result or may never terminate. Partial functions add cognitive overhead, they are harder to reason about and can lead to runtime errors. Some examples: 1158 | 1159 | ```js 1160 | // example 1: sum of the list 1161 | // sum :: [Number] -> Number 1162 | const sum = arr => arr.reduce((a, b) => a + b) 1163 | sum([1, 2, 3]) // 6 1164 | sum([]) // TypeError: Reduce of empty array with no initial value 1165 | 1166 | // example 2: get the first item in list 1167 | // first :: [A] -> A 1168 | const first = a => a[0] 1169 | first([42]) // 42 1170 | first([]) // undefined 1171 | // or even worse: 1172 | first([[42]])[0] // 42 1173 | first([])[0] // Uncaught TypeError: Cannot read property '0' of undefined 1174 | 1175 | // example 3: repeat function N times 1176 | // times :: Number -> (Number -> Number) -> Number 1177 | const times = n => fn => n && (fn(n), times(n - 1)(fn)) 1178 | times(3)(console.log) 1179 | // 3 1180 | // 2 1181 | // 1 1182 | times(-1)(console.log) 1183 | // RangeError: Maximum call stack size exceeded 1184 | ``` 1185 | 1186 | ### Dealing with partial functions 1187 | 1188 | Partial functions are dangerous as they need to be treated with great caution. You might get an unexpected (wrong) result or run into runtime errors. Sometimes a partial function might not return at all. Being aware of and treating all these edge cases accordingly can become very tedious. 1189 | Fortunately a partial function can be converted to a regular (or total) one. We can provide default values or use guards to deal with inputs for which the (previously) partial function is undefined. Utilizing the [`Option`](#Option) type, we can yield either `Some(value)` or `None` where we would otherwise have behaved unexpectedly: 1190 | 1191 | ```js 1192 | // example 1: sum of the list 1193 | // we can provide default value so it will always return result 1194 | // sum :: [Number] -> Number 1195 | const sum = arr => arr.reduce((a, b) => a + b, 0) 1196 | sum([1, 2, 3]) // 6 1197 | sum([]) // 0 1198 | 1199 | // example 2: get the first item in list 1200 | // change result to Option 1201 | // first :: [A] -> Option A 1202 | const first = a => a.length ? Some(a[0]) : None() 1203 | first([42]).map(a => console.log(a)) // 42 1204 | first([]).map(a => console.log(a)) // console.log won't execute at all 1205 | // our previous worst case 1206 | first([[42]]).map(a => console.log(a[0])) // 42 1207 | first([]).map(a => console.log(a[0])) // won't execute, so we won't have error here 1208 | // more of that, you will know by function return type (Option) 1209 | // that you should use `.map` method to access the data and you will never forget 1210 | // to check your input because such check become built-in into the function 1211 | 1212 | // example 3: repeat function N times 1213 | // we should make function always terminate by changing conditions: 1214 | // times :: Number -> (Number -> Number) -> Number 1215 | const times = n => fn => n > 0 && (fn(n), times(n - 1)(fn)) 1216 | times(3)(console.log) 1217 | // 3 1218 | // 2 1219 | // 1 1220 | times(-1)(console.log) 1221 | // won't execute anything 1222 | ``` 1223 | 1224 | Making your partial functions total ones, these kinds of runtime errors can be prevented. Always returning a value will also make for code that is both easier to maintain and to reason about. 1225 | 1226 | ## Total Function 1227 | 1228 | A function which returns a valid result for all inputs defined in its type. This is as opposed to [Partial Functions](#partial-function) which may throw an error, return an unexpected result, or fail to terminate. 1229 | 1230 | ## Functional Programming Libraries in JavaScript 1231 | 1232 | * [mori](https://github.com/swannodette/mori) 1233 | * [Immutable](https://github.com/facebook/immutable-js/) 1234 | * [Immer](https://github.com/mweststrate/immer) 1235 | * [Ramda](https://github.com/ramda/ramda) 1236 | * [ramda-adjunct](https://github.com/char0n/ramda-adjunct) 1237 | * [ramda-extension](https://github.com/tommmyy/ramda-extension) 1238 | * [Folktale](http://folktale.origamitower.com/) 1239 | * [monet.js](https://cwmyers.github.io/monet.js/) 1240 | * [lodash](https://github.com/lodash/lodash) 1241 | * [Underscore.js](https://github.com/jashkenas/underscore) 1242 | * [Lazy.js](https://github.com/dtao/lazy.js) 1243 | * [maryamyriameliamurphies.js](https://github.com/sjsyrek/maryamyriameliamurphies.js) 1244 | * [Haskell in ES6](https://github.com/casualjavascript/haskell-in-es6) 1245 | * [Sanctuary](https://github.com/sanctuary-js/sanctuary) 1246 | * [Crocks](https://github.com/evilsoft/crocks) 1247 | * [Fluture](https://github.com/fluture-js/Fluture) 1248 | * [fp-ts](https://github.com/gcanti/fp-ts) 1249 | 1250 | --- 1251 | 1252 | __P.S:__ This repo is successful due to the wonderful [contributions](https://github.com/hemanth/functional-programming-jargon/graphs/contributors)! 1253 | -------------------------------------------------------------------------------- /yarn.lock: -------------------------------------------------------------------------------- 1 | # THIS IS AN AUTOGENERATED FILE. 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