ES6 JavaScript compose function

es6-compose.md

ES6 JavaScript Compose Function

Definition

const compose = (...fns) =>
  fns.reduceRight((prevFn, nextFn) =>
    (...args) => nextFn(prevFn(...args)),
    value => value
  );

Example

Create the function, composed of three others:

const example = compose(
  val => { console.log(1); return `1<${val}>`; },
  val => { console.log(2); return `2<${val}>`; },
  val => { console.log(3); return `3<${val}>`; }
);

Call the function:

example('hello')

Console output is:

3
2
1
"1<2<3<hello>>>"

@droganov I wonder if you're thinking about partial application rather than function composition there? when called, what should the function in your example output?

If only there was a way to type this function over an arbitrary length tuple in TS.

Also, would it make sense, for performance, to define static returns for a finite set of lengths?

To make compose(h,g,f) return (...args)=>h(g(f(...args))) instead of (...args)=>h(((...args)=>g(((...args)=>f(...args))(...args)))(...args))

I think it's clearer like this:

const compose = (...fns) => x => fns.reduceRight((y, f) => f(y), x)

This avoids having to pass an identity function as the initial value of the reduce callback and also makes the return type more obvious.

I think it's clearer like this:

const compose = (...fns) => x => fns.reduceRight((y, f) => f(y), x)

This avoids having to pass an identity function as the initial value of the reduce callback and also makes the return type more obvious.

How would you pass a set of arguments instead of x?
Probable solution is:

const compose = (...fns) => (...args) => fns.reduceRight((params, f) => Array.isArray(params) ? f(...params) : f(params), args)

And possible to have

const compose = (...fns) => fns.reduceRight((outer, inner) => (...args) => outer(inner(...args)))

without initialValue as it takes the last one as a start

It took me about an hour of stepping through the debugger to figure out what the point of spreading ...args is (the resulting function has the same arity as the first function called in the chain, but all subsequent functions must have an arity of one). With a little tweak, you can use destructuring assignment to create a multivariate function chain, as long as all the composed functions have the same arity.

const composeMultivariate = (...fns) => fns.reduce((f, g) => (...xs) => f(...g(...xs)));

var foo = composeMultivariate(
  (i, j) => [i+1, j+1],
  (g, h) => [g+1, h+1],
  (e, f) => [e+1, f+1],
  (c, d) => [c+1, d+1],
  (a, b) => [a+1, b+1]
);

const [a, b] = foo(0, 1);
console.log(a, b); // 5, 6

Or if you want to generalize it so you can use it as a normal compose:

const compose = (...fns) => fns.reduce((f, g) => (...xs) => {
  const r = g(...xs);
  return Array.isArray(r) ? f(...r) : f(r);
});

Of course you can always just cram all your arguments into an object and skip all the bother. :)

It's fascinating how the reducer creates closures over the inner function and the composed function unrolls them in reverse. If you haven't run it through a step debugger you really should!

Looks twisted, I agree with @nem035
It can simply be
const compose = (...fns) => fns.reduce((a,b) => (...val) => a(b(...val)))

Why not just use reduce for composing and reduceRight for piping?

const compose2 = (f, g) => (...args) => f(g(...args))
const compose = (...fns) => fns.reduce(compose2);
const pipe = (...fns) => fns.reduceRight(compose2);

It would be more performant because we don't need to reverse the array and it's cleaner IMHO.

Similar to @parkerault, I have (in TypeScript):

export module Functions {
  export function compose(...fns: ((...any) => any)[]): any {
    return (...args: any[]) => {
      return fns.reduceRight((arg: any, f: (...any) => any) => {
        return (Array.isArray(arg)) ? f(...arg) : f(arg);
      }, args);
    };
  }
}

which passes the Ava test:

test('compose should compose', t => {
  const g = (x, y) => x + y;
  const f = n => n * 2;

  const h = Functions.compose(f, g);

  t.is(42, h(19, 2));
});