The problem with trying to emulate purely functional in JavaScript is eagerness: JavaScript doesn't have lazy evaluation and hence you can't produce infinite arrays in JavaScript. You need to define a lazy list in JavaScript. This is how I usually do it:
function cons(head, tail) {
return cont({
head: head,
tail: tail
});
}
function cont(a) {
return function (k) {
return k(a);
};
}
The cons
function is similar to the cons
function in LISP or the :
constructor in Haskell. It takes an element and a list and returns a new list with the element inserted at the beginning of the list. The cont
function creates a continuation (really useful for reifying thunks to emulate lazy evaluation).
Creating a list using cons
is very simple:
var list = cons(1, cons(2, cons(3, cons(4, cons(5, null)))));
var array = [1, 2, 3, 4, 5];
The above list
and array
are equivalent. We can create two function to convert arrays to lists and vice-versa:
function toList(array) {
var list = null, length = array.length;
while (length) list = cons(array[--length], list);
return list;
}
function toArray(list) {
var array = [];
while (list) {
list = list(id);
array = array.concat(list.head);
list = list.tail;
}
return array;
}
function id(x) {
return x;
}
Now that we have a method of implementing lazy lists in JavaScript let's create the cycle
function:
function cycle(list) {
list = list(id);
var head = list.head;
var tail = join(list.tail, cons(head, null));
return function (k) {
return k({
head: head,
tail: cycle(tail)
});
};
}
function join(xs, ys) {
if (xs) {
xs = xs(id);
return cons(xs.head, join(xs.tail, ys));
} else return ys;
}
Now you can create an infinite list as follows:
var list = cycle(toList([1,2,3]));
Let's create a take
function to get the first 100 elements of the list:
function take(n, xs) {
if (n > 0) {
xs = xs(id);
return cons(xs.head, take(n - 1, xs.tail));
} else return null;
}
We can now easily get an array of 100 elements with [1,2,3]
repeating:
var array = toArray(take(100, list));
Let's see if it works as expected: http://jsfiddle.net/TR9Ma/
To summarize, lazy functional programming in JavaScript is not as much fun as it is in purely functional languages like Haskell. However with a little bit of effort you can make it work.