Skip to content

Latest commit

 

History

History
258 lines (184 loc) · 7.15 KB

tutorial.md

File metadata and controls

258 lines (184 loc) · 7.15 KB
layout title
tutorial
Getting Started

Getting Started

First, install lens.

$ cabal install lens

Then, start up ghci

$ ghci
GHCi, version 7.4.2: http://www.haskell.org/ghc/  :? for help
Loading package ghc-prim ... linking ... done.
Loading package integer-gmp ... linking ... done.
Loading package base ... linking ... done.

and import Control.Lens.

{% highlight haskell %} ghci> import Control.Lens {% endhighlight %}

Now, you can read from lenses

{% highlight haskell %} ghci> ("hello","world")^._2 "world" {% endhighlight %}

and you can write to lenses.

{% highlight haskell %} ghci> set _2 42 ("hello","world") ("hello",42) {% endhighlight %}

Composing lenses for reading (or writing) goes in the order an imperative programmer would expect, and just uses (.) from the Prelude.

{% highlight haskell %} ghci> ("hello",("world","!!!"))^._2._1 "world" {% endhighlight %}

{% highlight haskell %} ghci> set (_2._1) 42 ("hello",("world","!!!")) ("hello",(42,"!!!")) {% endhighlight %}

You can make a Getter out of a pure functions with to.

{% highlight haskell %} ghci> "hello"^.to length 5 {% endhighlight %}

A Getter works like a Lens, except you can only read from it, not write.

You can easily compose a Getter with a Lens just using (.). No explicit coercion is necessary.

{% highlight haskell %} ghci> ("hello",("world","!!!"))^._2._2.to length 3 {% endhighlight %}

As we saw above, you can write to lenses and these writes can change the type of the container. (.~) is an infix alias for set.

{% highlight haskell %} ghci> _1 .~ "hello" $ ((),"world") ("hello","world) {% endhighlight %}

It can be used in conjunction with (&) for a more familiar von Neumann style assignment syntax:

{% highlight haskell %} ghci> ((), "world") & _1 .~ "hello" ("hello","world) {% endhighlight %}

Conversely view, can be used as a prefix alias for (^.).

{% highlight haskell %} ghci> view _2 (10,20) 20 {% endhighlight %}

Lens comes "Batteries Included" with many lenses for manipulating common data types, such as Maps:

{% highlight haskell %} ghci> import Data.Map as Map ghci> Map.fromList [("hello","there")] ^.at "hello" Just "there" {% endhighlight %}

You can insert

{% highlight haskell %} ghci> Map.fromList [("hello","there")] & at "hello" ?~ "world" fromList [("hello","world")] {% endhighlight %}

and delete with this lens

{% highlight haskell %} ghci> Map.fromList [("hello","there")] & at "hello" .~ Nothing fromList [] {% endhighlight %}

You can let the library automatically derive lenses for fields of your data type

{% highlight haskell %} {-# LANGUAGE TemplateHaskell #-} data Foo a = Foo { _bar :: Int, _baz :: Int, _quux :: a } makeLenses ''Foo {% endhighlight %}

This will automatically generate the following lenses:

{% highlight haskell %} bar, baz :: Simple Lens (Foo a) Int quux :: Lens (Foo a) (Foo b) a b {% endhighlight %}

A Lens takes 4 parameters because it can change the types of the whole when you change the type of the part.

Often you won't need this flexibility, a Simple Lens takes 2 parameters, and can be used directly as a Lens.

Just like how we can write a Getter that can only be used for retrieving information, we can write a Setter which can only be used for updates. Like using fmap on a Functor updating a Setter can modify multiple targets!

The canonical example of a setter is 'mapped':

{% highlight haskell %} mapped :: Functor f => Setter (f a) (f b) a b {% endhighlight %}

over is then analogous to fmap, but parameterized on the Setter.

{% highlight haskell %} ghci> fmap succ [1,2,3] [2,3,4] ghci> over mapped succ [1,2,3] [2,3,4] {% endhighlight %}

The benefit is that you can use any Lens as a Setter, and the composition of setters with other setters or lenses using (.) yields a Setter.

{% highlight haskell %} ghci> over (mapped._2) succ [(1,2),(3,4)] [(1,3),(3,5)] {% endhighlight %}

(%~) is an infix alias for 'over', and the precedence lets you avoid swimming in parentheses:

{% highlight haskell %} ghci> ([(42, "hello")],"world") & _1.mapped._2.mapped %~ succ ([(42, "ifmmp")],"world") {% endhighlight %}

There are a number of combinators that resemble the +=, *=, etc. operators from C/C++ for working with the monad transformers.

There are +~, *~, etc. analogues to those combinators that work functionally, returning the modified version of the structure.

{% highlight haskell %} ghci> (1,2) & both *~ 2 (2,4) {% endhighlight %}

There are combinators for manipulating the current state in a state monad as well

{% highlight haskell %} fresh :: MonadState Int m => m Int fresh = id <+= 1 {% endhighlight %}

Anything you know how to do with a Foldable container, you can do with a Fold

{% highlight haskell %} ghci> :m + Data.Char Data.Text.Lens ghci> allOf (folded.text) isLower ["hello"^.packed, "goodbye"^.packed] True {% endhighlight %}

There are actually a large number of variations on the concept of a Lens provided by the library, in particular a Traversal generalizes traverse from Data.Traversable.

You can also use this for generic programming. Combinators are included that are based on Neil Mitchell's uniplate, but which have been generalized to work on or as lenses, folds, and traversals.

{% highlight haskell %} ghci> :m + Data.Data.Lens ghci> anyOf biplate (=="world") ("hello",(),[(2::Int,"world")]) True {% endhighlight %}

As alluded to above, anything you know how to do with a Traversable you can do with a Traversal.

{% highlight haskell %} ghci> mapMOf (traverse._2) (\xs -> length xs <$ putStrLn xs) [(42,"hello"),(56,"world")] "hello" "world" [(42,5),(56,5)] {% endhighlight %}

Moreover, many of the lenses supplied are actually isomorphisms, that means you can use them directly as a lens or getter:

{% highlight haskell %} ghci> let hello = "hello"^.packed "hello" ghci> :t hello hello :: Text {% endhighlight %}

but you can also flip them around and use them as a lens the other way with from!

{% highlight haskell %} ghci> hello^.from packed.to length 5 {% endhighlight %}

You can automatically derive isomorphisms for your own newtypes with makeIso. e.g.

{% highlight haskell %} newtype Neither a b = Neither { _nor :: Either a b } deriving (Show) makeIso ''Neither {% endhighlight %}

will automatically derive

{% highlight haskell %} neither :: Iso (Neither a b) (Neither c d) (Either a b) (Either c d) nor :: Iso (Either a b) (Either c d) (Neither a b) (Neither c d) {% endhighlight %}

such that

{% highlight haskell %} from neither = nor from nor = neither neither.nor = id nor.neither = id {% endhighlight %}

Field Guide

Lens Hierarchy

Carrying On

There is also a fully operational, but simple game of Pong in the examples/ folder.

There are also a couple of hundred examples distributed throughout the haddock documentation.

There is also a video, covering the derivation and basic use of lenses.