Calculation of a function that takes infinite arguments

Question

Using ES5, how do you execute a function that takes infinite arguments.

function add(a, b, c) {
    return a + b + c;
}

The above function accepts only three arguments, but we want our curry version to accept infinite arguments.

Therefore, from all of the following test cases, you 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 I came across:

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 was told that it is not very "functional" in style.

Answer 1

add "", , , . , add, , , .

:

//Using your add function, I'm expecting 6
add(1,2,3) //Returns another function = confusing!

---

, , 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;
    });
}

, , :

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

1, 2, 3 , :

add(1,2,3) //Returns 6, AWESOME!

.

curry, , - .

, , , :

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

, . curry , , , .

Answer 2

1: partial

partial :

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;
}

Hide result

2: Currying

currying, , :

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;
    };
}

Hide result

3: 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;
}

Hide result

A running total summation. running , (, 2 * running(21)). , , (, running(21)(21)). , JavaScript valueOf .

, , running, , , .

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;
}

Hide result

, , , running , valueOf.

Answer 3

, , . ES6 (ES5 ), :

var curry = (n, f, ...a) => a.length >= n
    ? f(...a)
    : (...ia) => curry(n, f, ...[...a, ...ia]);

, :

var sum = (...args) => args.reduce((a, b) => a + b);

, , , , 2 :

var add = curry(2, sum);

:

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

add, ():

var add1 = curry(2, sum, 1);

curry ES5 - ...:

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;
    });
};

...

Note. If efficiency is a problem, you may not want to use sliceon arguments, but explicitly copy it to a new array.