Using ES5, how do you curry a function that takes infinite arguments.
function add(a, b, c) {
return a + b + c;
}
The function above takes only three arguments but we want our curried version to be able to take infinite arguments.
Hence, of all the following test cases should pass:
var test = add(1);
test(2); //should return 3
test(2,3); //should return 6
test(4,5,6); //should return 16
Here is the solution that I came up with:
function add(a, b, c) {
var args = Array.prototype.slice.call(arguments);
return function () {
var secondArgs = Array.prototype.slice.call(arguments);
var totalArguments = secondArgs.concat(args);
var sum = 0;
for (i = 0; i < totalArguments.length; i++) {
sum += totalArguments[0];
}
return sum;
}
}
However, I have been told that it's not very “functional” in style.
Part of the reason your add function is not very "functional" is because it is attempting to do more than just add up numbers passed to it. It would be confusing for other developers to look at your code, see an add function, and when they call it, get a function returned to them instead of the sum.
For example:
//Using your add function, I'm expecting 6
add(1,2,3) //Returns another function = confusing!
The functional approach
The functional approach would be to create a function that allows you to curry any other functions, and simplify your add function:
function curry(fn) {
var args = Array.prototype.slice.call(arguments, 1);
return function () {
return fn.apply(this, args.concat(
Array.prototype.slice.call(arguments, 0)
));
}
}
function add() {
var args = Array.prototype.slice.call(arguments);
return args.reduce(function (previousValue, currentValue) {
return previousValue + currentValue;
});
}
Now, if you want to curry this function, you would just do:
var curry1 = curry(add, 1);
console.log(
curry1(2), // Logs 3
curry1(2, 3), // Logs 6
curry1(4, 5, 6) // Logs 16
);
//You can do this with as many arguments as you want
var curry15 = curry(add, 1,2,3,4,5);
console.log(curry15(6,7,8,9)); // Logs 45
If I still want to add 1, 2, 3 up I can just do:
add(1,2,3) //Returns 6, AWESOME!
Continuing the functional approach
This code is now becoming reusable from everywhere.
You can use that curry function to make other curried function references without any additional hassle.
Sticking with the math theme, lets say we had a multiply function that multiplied all numbers passed to it:
function multiply() {
var args = Array.prototype.slice.call(arguments);
return args.reduce(function (previousValue, currentValue) {
return previousValue * currentValue;
});
}
multiply(2,4,8) // Returns 64
var curryMultiply2 = curry(multiply, 2);
curryMultiply2(4,8) // Returns 64
This functional currying approach allows you take that approach to any function, not just mathematical ones. Although the supplied curry function does not support all edge cases, it offers a functional, simple solution to your problem that can easily be built upon.
Method 1: Using partial
A simple solution would be to use partial as follows:
Function.prototype.partial = function () {
var args = Array.prototype.concat.apply([null], arguments);
return Function.prototype.bind.apply(this, args);
};
var test = add.partial(1);
alert(test(2)); // 3
alert(test(2,3)); // 6
alert(test(4,5,6)); // 16
function add() {
var sum = 0;
var length = arguments.length;
for (var i = 0; i < length; i++)
sum += arguments[i];
return sum;
}
Method 2: Single Level Currying
If you only want one level of currying then this is what I would do:
var test = add(1);
alert(test(2)); // 3
alert(test(2,3)); // 6
alert(test(4,5,6)); // 16
function add() {
var runningTotal = 0;
var length = arguments.length;
for (var i = 0; i < length; i++)
runningTotal += arguments[i];
return function () {
var sum = runningTotal;
var length = arguments.length;
for (var i = 0; i < length; i++)
sum += arguments[i];
return sum;
};
}
Method 3: Infinite Level Currying
Now, here's a more general solution with infinite levels of currying:
var add = running(0);
var test = add(1);
alert(+test(2)); // 3
alert(+test(2,3)); // 6
alert(+test(4,5,6)); // 16
function running(total) {
var summation = function () {
var sum = total;
var length = arguments.length;
for (var i = 0; i < length; i++)
sum += arguments[i];
return running(sum);
}
summation.valueOf = function () {
return total;
};
return summation;
}
A running total is the intermediate result of a summation. The running function returns another function which can be treated as a number (e.g. you can do 2 * running(21)). However, because it's also a function you can apply it (e.g. you can do running(21)(21)). It works because JavaScript uses the valueOf method to automatically coerce objects into primitives.
Furthermore, the function produced by running is recursively curried allowing you to apply it as many times to as many arguments as you wish.
var resultA = running(0);
var resultB = resultA(1,2);
var resultC = resultB(3,4,5);
var resultD = resultC(6,7,8,9);
alert(resultD + resultD(10)); // 100
function running(total) {
var summation = function () {
var sum = total;
var length = arguments.length;
for (var i = 0; i < length; i++)
sum += arguments[i];
return running(sum);
}
summation.valueOf = function () {
return total;
};
return summation;
}
The only thing you need to be aware of is that sometimes you need to manually coerce the result of running into a number by either applying the unary plus operator to it or calling its valueOf method directly.
Similar to the above problem. Sum of nth level curry by recursion
Trick: To stop the recursion I'm passing last () as blank**
function sum(num1) {
return (num2) => {
if(!num2) {
return num1;
}
return sum(num1 + num2);
}
}
console.log('Sum :', sum(1)(2)(3)(4)(5)(6)(7)(8)())
There is more generic approach by defining a curry function that takes minimum number of arguments when it evaluates the inner function. Let me use ES6 first (ES5 later), since it makes it more transparent:
var curry = (n, f, ...a) => a.length >= n
? f(...a)
: (...ia) => curry(n, f, ...[...a, ...ia]);
Then define a function that sums all arguments:
var sum = (...args) => args.reduce((a, b) => a + b);
then we can curry it, telling that it should wait until at least 2 arguments:
var add = curry(2, sum);
Then it all fits into place:
add(1, 2, 3) // returns 6
var add1 = add(1);
add1(2) // returns 3
add1(2,3) // returns 6
add1(4,5,6) // returns 16
You can even skip creating add by providing the first argument(s):
var add1 = curry(2, sum, 1);
ES5 version of curry is not as pretty for the lack of ... operator:
function curry(n, f) {
var a = [].slice.call(arguments, 2);
return a.length >= n
? f.apply(null, a)
: function () {
var ia = [].slice.call(arguments);
return curry.apply(null, [n, f].concat(a).concat(ia));
};
}
function sum() {
return [].slice.call(arguments).reduce(function (a, b) {
return a + b;
});
};
The rest is the same...
Note: If efficiency is a concern, you may not want to use slice on arguments, but copy it to a new array explicitly.
Bit late in this game, but here is my two cents. Basically this exploits the fact that functions are also objects in JavaScript.
function add(x) {
if (x === undefined) {
return add.numbers.reduce((acc, elem) => acc + elem, 0);
} else {
if (add.numbers) {
add.numbers.push(x);
} else {
add.numbers = [x];
}
}
return add;
}
Infinite sum with currying, you can pass a single parameter or multiple up-to infinite:
function adding(...arg) {
return function clousureReturn(...arg1) {
if (!arguments.length) {
let finalArr = [...arg, ...arg1];
let total = finalArr.reduce((sum, ele) => sum + ele);
return total;
}
return adding(...arg, ...arg1)
}
}
This is my solution for single level currying
function sum() {
let args = [...arguments];
let total = args.reduce((total,num) => total + num,0);
return total;
}
console.log(sum(1,2,3,4)) // 10
and the solution for infinite level currying
let sum= function (...args1) {
let total =args1.reduce((total,num) => total + num,0)
return function(...args2) {
if(args2.length!== 0) {
let total2 = args2.reduce((total,num)=>total + num,0);
return sum(total,total2);
}
return total;
};
};
console.log(sum(2,3,4)(2,3)(1)()); // 15
Simple solution
const add = (one) => { // one: Parameter passed in test
return (...args) => {
// args: Array with all the parameters passed in test
return one + args.reduce((sum, i) => sum + i, 0) // using reduce for doing sum
}
}
var test = add(1);
console.log(test(2)); //should return 3
console.log(test(2, 3)); //should return 6
console.log(test(4, 5, 6)); //should return 16
Related
How can I achieve these scenarios using function currying?
add(3,4)(3)
add(3)(4)(3)
add(3)(4,3)
I have read so many blogs not able to find this kind of scenario. can someone help me on this.
Something like this?
var total = 0;
function add(){
// Add up every argument received
for (var i in arguments)
total += arguments[i];
return add;
}
add(3,4)(3);
console.log(total);
add(3)(4)(3);
console.log(total);
add(3)(4,3);
console.log(total);
Update
If you do not want the function to depend on global variable, save the value as an attribute of add function instead
function add(){
// Add up every argument received
for (var i in arguments)
add.total += arguments[i];
return add;
}
add.total = 0;
add.toString = function(){
var total = add.total;
add.total = 0;
return total;
};
var sum1 = add(3,4)(3);
alert( sum1 );
var sum2 = add(3)(4)(3);
alert( sum2 );
var sum3 = add(3)(4,3);
alert( sum3 );
I see two currying scenarios here:
1.
add(3,4)(3)
add(3)(4,3)
and
2.
add(3)(4)(3)
The first one you can address with:
function add() {
const args1 = Array.prototype.slice.call(arguments);
return function() {
const args2 = Array.prototype.slice.call(arguments);
return args1.concat(args2).reduce(function(a, i) { return a + i });
}
}
The second one with:
function add() {
const args1 = Array.prototype.slice.call(arguments);
return function() {
const args2 = Array.prototype.slice.call(arguments);
return function() {
const args3 = Array.prototype.slice.call(arguments);
return args1.concat(args2).concat(args3).reduce(function(a, i) { return a + i });
}
}
}
I did not find a solution to have a function which tackles both at the same time.
I have tried writing the below code to find sum of 'n' numbers using sum function. I am getting the correct response in output. But i am unable to return that using sum function, as i always have to return a function, which is required for curried effect.
Please help. Thanks in advance.
var output = 0,
chain;
function sum() {
var args = Array.prototype.slice.call(arguments);
output += args.reduce(function(a, b) {
return a + b;
});
sumCurried = sum.bind(output);
sumCurried.val = function() {
return output;
}
return sumCurried;
}
debugger;
document.getElementById('demo').innerHTML = sum(1, 2)(3)(4);
// document.getElementById('demo').innerHTML = sum(1)(3)(4);
<p id='demo'></p>
enter code here
You can add a stop condition to the curried function, for example - if the function is called without an argument return the output:
var output = 0,
chain;
function sum() {
var args = Array.prototype.slice.call(arguments);
if(args.length === 0) {
return output;
}
output += args.reduce(function(a, b) {
return a + b;
});
sumCurried = sum.bind(output);
return sumCurried;
}
console.log(sum(1, 2)(3)(4)());
<p id='demo'></p>
The returned curry function has a val property, which is a function that returns the current value:
var output = 0,
chain;
function sum() {
var args = Array.prototype.slice.call(arguments);
output += args.reduce(function(a, b) {
return a + b;
});
sumCurried = sum.bind(output);
sumCurried.val = function() {
return output;
}
return sumCurried;
}
console.log(sum(1, 2)(3)(4).val());
<p id='demo'></p>
Why would you use currying at all? However, here is a shorter version:
const sum = (...args) => {
const func = (...s)=> sum(...args,...s);
func.value = args.reduce((a,b)=>a+b,0);
return func;
};
//usable as
sum(1,2).value,
sum(1,1)(1).value,
sum(1,1)(1,1)(1,1).value
And you always need to end the currying chain. However, it can be shortified:
func.valueOf = ()=> args.reduce((a,b)=>a+b,0);
//( instead of func.value = ... )
So when called you can do:
+sum(1,2,3)
+sum(1)(1)(1)
How can I have a JavaScript function let's say piper() which takes several functions as its arguments and it returns a new function that will pass its argument to the first function, then pass the result to the second, then
pass the result of the second to the third, and so on, finally returning the output of the last function.
Something like piper(foo, fee, faa)(10, 20, 30) would be equivalent to calling faa(fee(foo(10,20,30))).
ps:
It was a part of an interview, that I did few days ago.
For an arbritrary number of functions you could use this ES6 function:
function piper(...fs) {
return (...args) => fs.reduce((args,f) => [f.apply(this,args)],args)[0];
}
// Example call:
var result = piper(Math.min, Math.abs, Math.sqrt)(16, -9, 0)
// Output result:
console.log(result);
The same in ES5 syntax:
function piper(/* functions */) {
var fs = [].slice.apply(arguments);
return function (/* arguments */) {
return fs.reduce(function (args,f) {
return [f.apply(this,args)];
}.bind(this), [].slice.apply(arguments))[0];
}.bind(this);
}
// Example call:
var result = piper(Math.min, Math.abs, Math.sqrt)(16, -9, 0)
// Output result:
console.log(result);
Enjoy. Pure ES5 solution. Preserves this.
function piper(){
var i = arguments.length,
piped = arguments[ --i ];
while( --i >= 0 ){
piped = pipeTwo( arguments[ i ], piped );
}
return piped;
}
function pipeTwo( a, b ){
return function(){
return a.call( this, b.apply( this, arguments ) );
}
}
Or, if you want the fancy solution.
function piperES6( ...args ){
return args.reverse().reduce( pipeTwo );
}
Loops can be reversed depending on the desired direction.
Very similar to #trincot's answer (preserves context), but composes in the correct order and is marginally faster since it does not create intermediary arrays:
const piper = (...steps) => function(...arguments) {
let value = steps[0].apply(this, arguments);
for (let i = 1; i < steps.length; ++i) {
value = steps[i].call(this, value);
}
return value;
};
// Usage:
let p = piper(
x => x + 1,
x => x * 2,
x => x - 1
);
console.log(p(2)); // 5
Here is an alternative answer involving method chaining. I shall use ES6, though of course this can be transpiled to ES5. On benefit of this solution is that is has a very succinct TypeScript counterpart with perfect typeability.
class Pipe {
constructor(value) {
this.value = value;
}
then(f) {
return new Pipe(f(this.value));
}
}
const pipe = value => new Pipe(value);
// Example
const double = x => 2 * x;
pipe(42).then(double).then(console.log); // 84
const result = pipe(42).then(double).then(double).value;
console.log(result); // 168
A simple solution based on JS higher-order functions usage:
function pipe(...rest) {
return x => rest.reduce((y, f) => f(y), x);
}
Usage:
pipe((a) => a + 1, (a) => a * 2)(3) // 8
pipe((a) => a + 1, (a) => a * 2)(2) // 2
function f(f1, f2, f3){
return (args => f3(f2(f1(args))));
}
I think what you are trying to do is chaining.
var funct={
total:0,
add:function(a) {
console.log(funct.total,funct.total+a);
funct.total+=a;
return funct;
}
};
funct.add(5).add(6).add(9);
I have stacked in the sum of an array. The code is bellow
function User(name,email) {
this.name = name;
this.email = email;
this.cartAmount = [];
this.total = 0;
}
User.prototype = {
constructor: User,
addCart: function(mrp){
this.cartAmount.push(mrp);
},
changeEmail: function(newmail){
this.email = newmail;
},
showCart: function() {
var cart = this.cartAmount.length >0 ? this.cartAmount.join("tk,") : "No product in the cart";
return this.name+" has "+cart+" in his cart.";
},
intotal: function(){
for(var n in this.cartAmount){
this.total += this.cartAmount[n];
return this.total;
}
}
};
athar= new User("Athar Jamil", "atharjamil#gmail.com");
console.log(athar.name);
athar.changeEmail("atharjamil#yahoo.com");
console.log(athar.email);
athar.addCart(20);
athar.addCart(50);
athar.addCart(80);
console.log(athar.intotal());
It shows me only 20 as the result of the sum. What is the problem?
You're returning too early, hence your for loop runs only once and returns the first item in the cart.
Try this instead:
intotal: function(){
for(var n in this.cartAmount){
this.total += this.cartAmount[n];
}
return this.total;
}
Do not use this.total for that. If you call this method several times, your total will increase each time you call it. You should at least put a this.total = 0 at the top of your method.
I personally would have written it like this instead :
intotal: function(){
var out = 0;
for(var n in this.cartAmount){
out += this.cartAmount[n];
}
return out;
}
Using Array.prototype.reduce() you can simplify that function a lot:
intotal: function() {
return this.cartAmount.reduce((a, b)=> a + b)
}
From MDN:
The reduce() method applies a function against an accumulator and each value of the array (from left-to-right) to reduce it to a single value.
Here you pass an arrow function to the reduce method, which takes two arguments: a and b, and returns sum of them.
intotal function returning the first element of cartAmount array.
Place the return statement of intotal function outside of for loop.
function sum(){
var args = Array.prototype.slice.call(arguments);
return args.reduce(function(pre,curr){
if(!isNaN(curr)){
return pre+curr;
}
else
{
throw Error("Non-Numeric arguments"+curr);
}
},0)
}
var result = sum(12,13,14); //pass any number of parameter to sum
alert("Sum Is:"+result);
https://www.npmjs.com/package/mnjs
First import sum function from mnjs package
<script src="https://cdn.jsdelivr.net/npm/mnjs/browser/index.js"></script>
or
const { sum } = require('mnjs')
or
import { sum } from 'mnjs'
Then use sum function as follow:
const cartAmount = [1, 4, 2]
sum(cartAmount) // returns 7
https://runkit.com/dr-montasir/mnjs-sum-function
I need a js sum function to work like this:
sum(1)(2) = 3
sum(1)(2)(3) = 6
sum(1)(2)(3)(4) = 10
etc.
I heard it can't be done. But heard that if adding + in front of sum can be done.
Like +sum(1)(2)(3)(4). Any ideas of how to do this?
Not sure if I understood what you want, but
function sum(n) {
var v = function(x) {
return sum(n + x);
};
v.valueOf = v.toString = function() {
return n;
};
return v;
}
console.log(+sum(1)(2)(3)(4));
JsFiddle
This is an example of using empty brackets in the last call as a close key (from my last interview):
sum(1)(4)(66)(35)(0)()
function sum(firstNumber) {
let accumulator = firstNumber;
return function adder(nextNumber) {
if (nextNumber === undefined) {
return accumulator;
}
accumulator += nextNumber;
return adder;
}
}
console.log(sum(1)(4)(66)(35)(0)());
I'm posting this revision as its own post since I apparently don't have enough reputation yet to just leave it as a comment. This is a revision of #Rafael 's excellent solution.
function sum (n) {
var v = x => sum (n + x);
v.valueOf = () => n;
return v;
}
console.log( +sum(1)(2)(3)(4) ); //10
I didn't see a reason to keep the v.toString bit, as it didn't seem necessary. If I erred in doing so, please let me know in the comments why v.toString is required (it passed my tests fine without it). Converted the rest of the anonymous functions to arrow functions for ease of reading.
New ES6 way and is concise.
You have to pass empty () at the end when you want to terminate the call and get the final value.
const sum= x => y => (y !== undefined) ? sum(x + y) : x;
call it like this -
sum(10)(30)(45)();
Here is a solution that uses ES6 and toString, similar to #Vemba
function add(a) {
let curry = (b) => {
a += b
return curry
}
curry.toString = () => a
return curry
}
console.log(add(1))
console.log(add(1)(2))
console.log(add(1)(2)(3))
console.log(add(1)(2)(3)(4))
Another slightly shorter approach:
const sum = a => b => b? sum(a + b) : a;
console.log(
sum(1)(2)(),
sum(3)(4)(5)()
);
Here's a solution with a generic variadic curry function in ES6 Javascript, with the caveat that a final () is needed to invoke the arguments:
const curry = (f) =>
(...args) => args.length? curry(f.bind(0, ...args)): f();
const sum = (...values) => values.reduce((total, current) => total + current, 0)
curry(sum)(2)(2)(1)() == 5 // true
Here's another one that doesn't need (), using valueOf as in #rafael's answer. I feel like using valueOf in this way (or perhaps at all) is very confusing to people reading your code, but each to their own.
The toString in that answer is unnecessary. Internally, when javascript performs a type coersion it always calls valueOf() before calling toString().
// invokes a function if it is used as a value
const autoInvoke = (f) => Object.assign(f, { valueOf: f } );
const curry = autoInvoke((f) =>
(...args) => args.length? autoInvoke(curry(f.bind(0, ...args))): f());
const sum = (...values) => values.reduce((total, current) => total + current, 0)
curry(sum)(2)(2)(1) + 0 == 5 // true
Try this
function sum (...args) {
return Object.assign(
sum.bind(null, ...args),
{ valueOf: () => args.reduce((a, c) => a + c, 0) }
)
}
console.log(+sum(1)(2)(3,2,1)(16))
Here you can see a medium post about carried functions with unlimited arguments
https://medium.com/#seenarowhani95/infinite-currying-in-javascript-38400827e581
Try this, this is more flexible to handle any type of input. You can pass any number of params and any number of paranthesis.
function add(...args) {
function b(...arg) {
if (arg.length > 0) {
return add(...[...arg, ...args]);
}
return [...args, ...arg].reduce((prev,next)=>prev + next);
}
b.toString = function() {
return [...args].reduce((prev,next)=>prev + next);
}
return b;
}
// Examples
console.log(add(1)(2)(3, 3)());
console.log(+add(1)(2)(3)); // 6
console.log(+add(1)(2, 3)(4)(5, 6, 7)); // 28
console.log(+add(2, 3, 4, 5)(1)()); // 15
Here's a more generic solution that would work for non-unary params as well:
const sum = function (...args) {
let total = args.reduce((acc, arg) => acc+arg, 0)
function add (...args2) {
if (args2.length) {
total = args2.reduce((acc, arg) => acc+arg, total)
return add
}
return total
}
return add
}
document.write( sum(1)(2)() , '<br/>') // with unary params
document.write( sum(1,2)() , '<br/>') // with binary params
document.write( sum(1)(2)(3)() , '<br/>') // with unary params
document.write( sum(1)(2,3)() , '<br/>') // with binary params
document.write( sum(1)(2)(3)(4)() , '<br/>') // with unary params
document.write( sum(1)(2,3,4)() , '<br/>') // with ternary params
ES6 way to solve the infinite currying. Here the function sum will return the sum of all the numbers passed in the params:
const sum = a => b => b ? sum(a + b) : a
sum(1)(2)(3)(4)(5)() // 15
function add(a) {
let curry = (b) => {
a += b
return curry;
}
curry[Symbol.toPrimitive] = (hint) => {
return a;
}
return curry
}
console.log(+add(1)(2)(3)(4)(5)); // 15
console.log(+add(6)(6)(6)); // 18
console.log(+add(7)(0)); // 7
console.log(+add(0)); // 0
Here is another functional way using an iterative process
const sum = (num, acc = 0) => {
if !(typeof num === 'number') return acc;
return x => sum(x, acc + num)
}
sum(1)(2)(3)()
and one-line
const sum = (num, acc = 0) => !(typeof num === 'number') ? acc : x => sum(x, acc + num)
sum(1)(2)(3)()
You can make use of the below function
function add(num){
add.sum || (add.sum = 0) // make sure add.sum exists if not assign it to 0
add.sum += num; // increment it
return add.toString = add.valueOf = function(){
var rtn = add.sum; // we save the value
return add.sum = 0, rtn // return it before we reset add.sum to 0
}, add; // return the function
}
Since functions are objects, we can add properties to it, which we are resetting when it's been accessed.
we can also use this easy way.
function sum(a) {
return function(b){
if(b) return sum(a+b);
return a;
}
}
console.log(sum(1)(2)(3)(4)(5)());
To make sum(1) callable as sum(1)(2), it must return a function.
The function can be either called or converted to a number with valueOf.
function sum(a) {
var sum = a;
function f(b) {
sum += b;
return f;
}
f.toString = function() { return sum }
return f
}
function sum(a){
let res = 0;
function getarrSum(arr){
return arr.reduce( (e, sum=0) => { sum += e ; return sum ;} )
}
function calculateSumPerArgument(arguments){
let res = 0;
if(arguments.length >0){
for ( let i = 0 ; i < arguments.length ; i++){
if(Array.isArray(arguments[i])){
res += getarrSum( arguments[i]);
}
else{
res += arguments[i];
}
}
}
return res;
}
res += calculateSumPerArgument(arguments);
return function f(b){
if(b == undefined){
return res;
}
else{
res += calculateSumPerArgument(arguments);
return f;
}
}
}
let add = (a) => {
let sum = a;
funct = function(b) {
sum += b;
return funct;
};
Object.defineProperty(funct, 'valueOf', {
value: function() {
return sum;
}
});
return funct;
};
console.log(+add(1)(2)(3))
After looking over some of the other solutions on here, I would like to provide my two solutions to this problem.
Currying two items using ES6:
const sum = x => y => (y !== undefined ) ? +x + +y : +x
sum(2)(2) // 4
Here we are specifying two parameters, if the second one doesnt exist we just return the first parameter.
For three or more items, it gets a bit trickier; here is my solution. For any additional parameters you can add them in as a third
const sum = x => (y=0) => (...z) => +x + +y + +z.reduce((prev,curr)=>prev+curr,0)
sum(2)()()//2
sum(2)(2)()//4
sum(2)(2)(2)//6
sum(2)(2)(2,2)//8
I hope this helped someone