Functional Reactive Programming Concepts in Javascript on top of Backbone

Functional Reactive Programming, or FRP, is an elegant approach to “purely functional” event-driven programming with values that change over time. It is a change of perspective from the usual meaning of “event driven” in Javascript, and it is very, very cool.

There already exists a from-first-principles implementation of FRP in Javascript via the Flapjax compiler, a lot of related ideas are in knockout.js, and Asana says their Luna framework was inspired by FRP. But I want to demonstrate how simple it is to get a naive implementation of FRP off the ground by using the event-handling API provided by Backbone. Since we are in Javascript, the semantic work that has gone into FRP is pretty much out the window anyhow.

Let’s dive in; here’s the HTML shell I’m going to use:

<!doctype html>
<html lang="en">
    <title>Shortest Path to FRP benefits in Javascript</title>

    <script src="jquery.js"></script>
    <script src="underscore.js"></script>
    <script src="mustache.js"></script>
    <script src="ICanHaz.js"></script>
    <script src="backbone.js"></script>
    <script src="reactive.js"></script>

    <script type="text/html" id="icanhaz-example">
    <div>Date and time: <span id="datetime"></span></div>
    <div>Deciseconds: <span id="deciseconds"></span></div>
    <div>Seconds: <span id="seconds"></span> and <span id="seconds2" /></div>
    <div>Seconds even: <span id="secondsEven"></span></div>
    <div>Stuttering: <span id="stutter"></span></div>
    <div>I can haz reactivity: <div id="icanhaz-output"></div></div>

You can get jquery, backbone, ICanHaz, mustache, and underscore however you like. I just tossed them in the directory for this demo, here:

$(document).ready(function() {

FRP is based on two main semantic types that are very closely related: event streams and behaviors. Event streams are infinite sequences of data attached to a time, where time is nondecreasing. Behaviors are variables whose value changes continuously over time, i.e. functions of time. In pseudo-Haskell:

// EventStream a = [(Time, Event)]
// Behavior a = Time -> a

But “Time” is not a type we actually have available, so we keep these types abstract and expose primitives and combinators. There are many implementation choices available, the latest and greatest is described in Push-Pull Functional Reactive Programming by Conal Elliott, but since we are in a mutatey language already that has some event handling, the best reference is probably this draft of an imperative implementation strategy.

One major takeaway from FRP is make the event stream first class, so let us start with defining that class. It is quite literally just a handle for listening for occurrences of events. In actual use, you have to deal with the fact that listeners should be weak references, but that is a battle for another day.

    var EventStream = function() { };
    _.extend(EventStream.prototype, Backbone.Events, {
        _listen: function(callback) {
            this.bind("occur", callback);

        _unlisten: function(callback) {
            this.unbind("occur", callback);

        _occur: function(payload) {
            this.trigger("occur", payload);

The _listen and _occur methods expose the implementation of EventStream. If you are calling them, then you are not really using FRP, but implementing FRP, and your code would not necessarily be portable to a different implementation strategy.

The most obvious event stream (to me?) is a heartbeat that says the time. From this we can build useful things like pseudo-continuous time. This does violate an FRP notion of time invariance where a program always behaves the same when shifted in time, but oh well!

    var timerE = function(delay) {
        var stream = new EventStream();
        setInterval(function() {
            stream._occur(new Date());
        return stream;

An implementation for Behaviors is simply a boxed variable with similar event-handling routines. Again, no client code should call _change or _observe.

    var Behavior = function(initialValue) { 
        this.value = initialValue;
    _.extend(Behavior.prototype, Backbone.Events, {
        _change: function(newValue) {
            this.value = newValue;
            this.trigger("change", newValue);

        _observe: function(fn) {
            this.bind("change", fn);

        _unobserve: function(fn) {
            this.unbind("change", fn);

A first primitive form of behavior is the stepper: Starting with some initial value, it listens to an event stream and saves the values that come in.

    var stepperB = function(initialValue, stream) {
        var behavior = new Behavior(initialValue);
        stream._listen(function(eventValue) {
        return behavior;

And now we can make a behavior that counts time upwards

    var timeB = function(init, granularity) { return stepperB(init, timerE(granularity)); };

That is a taste of how we build behaviors and event streams without going under the hood, but we will need more primitives. In particular we will definitely need to be able to map a function over an event stream or behavior.

    var mapE = function(f, stream) {
        var mappedE = new EventStream();
        stream._listen(function(ev) {
        return mappedE;

    var mapB = function(f, behavior) {
        var mappedB = new Behavior(behavior.value);
        behavior._observe(function(v) {
        return mappedB;

Hmmm, those look very similar. Indeed, we forgot to implement the inverse of stepper, and then we would only need one of mapB and mapE. I’ll add a few more primitives here.

    var changesE = function(behavior) {
        var stream = new EventStream();
        behavior._observe(function(value) {
        return stream;
    var mapB_2 = function(f, behavior) {
        return stepperB(behavior.value, mapE(f, changesE(behavior)));

    var filterE = function(p, stream) {
        var filtered = new EventStream();
        stream._listen(function(event) {
            if (p(event)) filtered._occur(event);
        return filtered;

    var snapshotE = function(behavior, stream) {
        var snapshots = new EventStream();
        stream._listen(function(event) {
            snapshots._occur(behavior.value); // bad? probably
        return snapshots;

And this all gets to be the most fun when it is higher-order. The switcherB starts as one behavior, but listens for new ones on an event and switches over to them. This is also a primitive.

    var switcherB = function(initialB, behaviorsE) {
        var b = new Behavior(initialB.value);
        var currentB = initialB;
        var callback = function(value) {
        behaviorsE._listen(function (newB) {
            currentB = newB;
        return b;

To actually see this stuff, we need a “legacy” adapter to the browser’s imperatively-updated DOM. In this implementation, we can actually abuse mapB for this, but that is not in the spirit of the function, so we’ll drop to primitives again.

    var bindB = function(elem, behavior) {
        behavior._observe(function(value) {

One thing to note is that the framework does nothing to minimize the amount of event passing that happens. You’ve got filterE and snapshotE to do that, but it can take some ingenuity to make sure the same value isn’t pushed over and over. I imagine there are solutions and/or wisdom in the literature which I have simply neglected in this quick hack.

Anyhow, we can now bind a bunch of behaviors to the DOM and watch them go.

    var startMillis = new Date().getTime();

    var datetimeToDecisB = timeB(0, 100);
    bindB($('#datetime'), mapB(function(d) { return d.toString(); }, datetimeToDecisB));

    var decisB = mapB(function(dt) { return Math.floor(dt.getTime() / 100); }, datetimeToDecisB);
    bindB($('#deciseconds'), decisB);

    var decisWrapE = filterE(function(value) { return value % 10 == 0; }, changesE(decisB));
    var decisWhenWrappedB = stepperB(decisB.value, snapshotE(decisB, decisWrapE));

    var secondsB = mapB(function(decis) { return Math.floor(decis / 10); }, decisB);
    var secondsB2 = mapB_2(function(decis) { return Math.floor(decis / 10); }, decisB);
    bindB($('#seconds'), secondsB);
    bindB($('#seconds2'), secondsB2);

    var secondsB3 = mapB(function(decis) { return Math.floor(decis / 10); }, decisWhenWrappedB);
    var isEven = function(n) { return n % 2 == 0; }
    var secondsEvenB = mapB(isEven, secondsB3)

    var stutterB = switcherB(decisB,
                             mapE(function(even) { return even ? decisB : decisWhenWrappedB; },
    bindB($('#secondsEven'), mapB(function(even) { return even ? "YES \\(^_^)/" : "NO ;_;"; }, secondsEvenB));
    bindB($('#stutter'), stutterB);

    var template = ich['icanhaz-example'];
    bindB($('#icanhaz-output'), mapB(template,
                                     mapB(function(decis) { return {list: _.range(decis % 10)}; },

That was fun! If you agree, I highly recommend the literature surrounding this. There are a number of additional primitives needed, and most libraries provide a huge pile of them. The closest thing I can recall seeing about figuring out canonical primitives is this rather challenging paper.

For real libraries, I think Reactive in Haskell is the state of the art. I’m not sure about libraries in other languages, but would love to hear about them.

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3 thoughts on “Functional Reactive Programming Concepts in Javascript on top of Backbone

  1. […] up my first experiments with FRP in Javascript I put together a separate github project and demo/tutorial page. Check it […]

  2. Unsurprisingly, there’s a library that encapsulates EventStreams and behaviors (which it calls ‘Properties’). It’s called Bacon, and there’s a Bacon/Backbone plugin that abstracts all of this further, and there’s a demonstration in the Laboratory portion of Addy Osmani’s “TodoMVC” demo on GitHub.

    I’ve been playing with it recently. It’s… mindblowing.

    • Kenn Knowles (@KennKnowles) says:

      Hi Elf!

      Bacon looks really cool! I am stoked to see more and more FRP and FRP-like libraries. I don’t find it unsurprising at all, but actually find it to be a very pleasant surprise 🙂

      Note that this post predates Bacon.js by a couple months, and the first Javascript implementation of FRP that I know of is the seemingly-inactive Flapjax, which was imported to github in 2008 but is older than that.

      These days, I work mostly with knockout (with my own Solidstate.js wrapping Backbone into FRP-style state machines) because, despite some differences, knockout is a very mature library to get work done in an FRP-like style.

      – Kenn

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