Functional reactive programming

Functional reactive programming (FRP) is a programming paradigm for reactive programming (asynchronous dataflow programming) using the building blocks of functional programming (e.g. map, reduce, filter). FRP has been used for programming graphical user interfaces (GUIs), robotics, and music, aiming to simplify these problems by explicitly modeling time.

Formulations of FRP

FRP has taken many forms since its introduction in 1997.^[1] One axis of diversity is discrete vs. continuous semantics. Another axis is how FRP systems can be changed dynamically.^[2]

Discrete

Formulations such as Event-Driven FRP and Elm require that updates are discrete and event-driven.^[3] These formulations have pushed for practical FRP, focusing on semantics that have a simple API that can be implemented efficiently in a setting such as robotics or in a web-browser.^[4]

In these formulations, it is common that the ideas of behaviors and events are combined into signals that always have a current value, but change discretely.^[5]

Continuous

The earliest formulation of FRP used continuous semantics, aiming to abstract over many operational details that are not important to the meaning of a program.^[6] The key properties of this formulation are:

• Modeling values that vary over continuous time, called "behaviors" and later "signals".
• Modeling "events" which have occurrences at discrete points in time.
• The system can be changed in response to events, generally termed "switching."
• The separation of evaluation details such as sampling rate from the reactive model.

This semantic model of FRP in side-effect free languages is typically in terms of continuous functions, and typically over time.^[7]

Interactive FRP

It has been pointed out that the ordinary FRP model, from inputs to outputs, is poorly suited to interactive programs.^[8] Lacking the ability to "run" programs within a mapping from inputs to outputs may mean one of the following solutions has to be used:

• Create a data structure of actions which appear as the outputs. The actions must be run by an external interpreter or environment. This inherits all of the difficulties of the original stream I/O system of Haskell.^[9]
• Use Arrowized FRP and embed arrows which are capable of performing actions. The actions may also have identities, which allows them to maintain separate mutable stores for example. This is the approach taken by the Fudgets library.^[10]
• The novel approach is to allow actions to be run now (in the IO monad) but defer the receipt of their results until later.^[11] This makes use of an interaction between the Event and IO monads, and is compatible with a more expression-oriented FRP:

planNow :: Event (IO a) -> IO (Event a)

Implementation issues

There are two types of FRP systems, push-based and pull-based. Push-based systems take events and push them through a signal network to achieve a result. Pull-based systems wait until the result is demanded, and work backwards through the network to retrieve the value demanded.

Some FRP systems such as Yampa use sampling. On a regular interval, samples are pushed through a signal network. This approach has two drawbacks: it is very computation intensive to process samples on a regular interval, and the network has to wait up to the duration of the sampling interval to find out about changes to the input. Sampling is an example of push-based FRP.

The Reactive and Etage libraries on Hackage introduced an approach called push-pull FRP, which combines the best of push-based and pull-based FRP. In this approach, only when the next event on a purely defined stream (such as a list of fixed events with times) is demanded, that event is constructed. These purely defined streams act like lazy lists in Haskell. That is the pull-based half. The push-based half is used when events external to the system are brought in. The external events are pushed to consumers, so that they can find out about an event the instant it is issued.

Implementations

• agda-frp-js, An implementation for building HTML applications in Agda
• cellx, Ultra-fast implementation of reactivity for javascript
• Elerea A minimalistic FRP library in Haskell
• Elm, FRP language that compiles to HTML, CSS, and JavaScript
• Frappuccino FRP implementation in Ruby
• Flapjax, behavior/event FRP implementation in JavaScript
• Reactive.jl, FRP implementation in Julia
• ReactiveX, FRP implementation in multiple languages, including Java, JavaScript, Python, Swift and many more
• reactive-banana FRP implementation in Haskell
• ReactiveCocoa FRP implemented in Swift and Objective-C
• ReactiveKit FRP implemented in pure Swift
• Reflex FRP implementation in Haskell
• Scala.Rx FRP implementation in Scala (and Scala.js)
• Sodium, FRP implementation in C#, C++, Haskell (deprecated^[12]), Java, Rust, and Scala
• Yampa FRP implementation in Haskell

See also

• Incremental computing
• Stream processing

References

1. Czaplicki, Evan (Apr 2012), Elm: Concurrent FRP for Functional GUIs (PDF) (thesis), Harvard.
2. Nilsson, Henrik; Courtney, Antony; Peterson, John (Feb 2011) [2002], "Functional Reactive Programming, Continued" (PDF), Haskell Workshop (PDF) (2).
3. Taha, Walid; Wan, Zhanyong; Hudak, Paul (2002), "Event-Driven FRP", PADL (PDF), Yale.
4. Czaplicki, Evan; Chong, Stephen (2013), "Asynchronous Functional Reactive Programming for GUIs", PLDI, Harvard.
5. Wan, Zhanyong; Taha, Walid; Hudak, Paul (Feb 2011), "Real-Time FRP", ICFP (PDF) (1).
6. Elliott, Conal; Hudak, Paul (1997), "Functional Reactive Animation", ICFP.
7. Courtney, Antony; Elliott, Conal (Feb 2011) [2001], "Genuinely Functional User Interfaces" (PDF), Haskell Workshop, Yale.
8. http://conal.net/blog/posts/why-classic-frp-does-not-fit-interactive-behavior
9. https://courses.cs.washington.edu/courses/cse505/01au/functional/functional-io.pdf
10. http://www.cse.chalmers.se/~hallgren/Thesis/
11. http://www.cse.chalmers.se/~atze/papers/prprfrp.pdf
12. http://blog.reactiveprogramming.org/?p=258

External links

• "What is Functional Reactive Programming?" An intro to FRP with live demos.
• Elm Programming language A functional, reactive programming language that compiles to HTML, CSS, and JavaScript.
• Haskell-related FRP research
• "Deprecating the Observer Pattern with Scala⋅React," Scala.React, an FRP Scala implementation
• What is (functional) reactive programming? Stackoverflow Answers.
• ReactiveUI, A C# MVVM FRP framework for .NET that integrates with the Reactive Extensions to create elegant, testable User Interfaces that run on any mobile or desktop platform. Supports Xamarin.iOS, Xamarin.Android, Xamarin.Mac, WPF, Windows Forms, Windows Phone 8 and Windows Store apps.
• Cycle.js, a reactive and functional JavaScript framework, where the user is a function, the computer is a function, and Human-Computer Interaction is a fixed point equation over reactive event streams.
• Reactive Programming with JavaScript by Jonathan Hayward, a popularization of the core theory in functional programming / reactive programming / functional reactive programming, with application to Facebook's ReactJS.