TypeCompose
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+  [[Category:Composition]] 

+  [[Category:Applicative Functor]] 

+  [[Category:Libraries]] 

+  [[Category:Packages]] 

+  [[Category:Typelevel programming]] 

+  
== Abstract == 
== Abstract == 

−  '''TypeCompose''' provides some classes & instances for forms of type composition. It also includes a very simple implementation of datadriven computation. 
+  '''TypeCompose''' provides some classes & instances for forms of type composition, as well as some modules that haven't found another home. 
−  * Read [http://darcs.haskell.org/packages/TypeCompose/doc/html the Haddock docs] (with source code, additional examples, and Comment/Talk links). 
+  Besides this wiki page, here are more ways to find out about TypeCompose: 
−  * Get the code repository: '''<tt>darcs get http://darcs.haskell.org/packages/TypeCompose</tt>''', or 
+  * Visit the [http://hackage.haskell.org/cgibin/hackagescripts/package/TypeCompose Hackage page] for library documentation and to download & install. 
−  * Grab a [http://darcs.haskell.org/packages/TypeCompose/dist distribution tarball]. 
+  * Or install with <tt>cabal install TypeCompose</tt>. 
−  * See the [http://darcs.haskell.org/packages/TypeCompose/CHANGES version changes]. 
+  * Get the code repository: <tt>darcs get http://code.haskell.org/~conal/code/TypeCompose</tt>. 
−  +  <!* See the [[TypeCompose/Versions version history]].> 

−  TypeCompose is used in [[Phooey]], a functional GUI library. 

== Type composition == 
== Type composition == 

−  For now, see the [http://darcs.haskell.org/packages/TypeCompose/doc/html/ControlCompose.html Haddock docs]. 
+  The <hask>Control.Compose</hask> module includes 
+  * Various type compositions (unary/unary, binary/unary, etc). Most are from [http://www.soi.city.ac.uk/~ross/papers/Applicative.html Applicative Programming with Effects]. In particular, <hask>g `O` f</hask> composes functors in to functors and applicative functors (AFs) into AFs. (In contrast, monads do not in general compose.) Composition makes AFbased programming simple and elegant, partly because we don't need an AF counterpart to monad transformers. 

+  * Cofunctors (contravariant functors). Great for "consumer" types, just as functors suit "producer" (container) types. There are several composition options. 

+  * Type argument flip. Handy for cofunctors: use <hask>Flip (>) o</hask>, for <hask>(> o)</hask>. 

+  * Constructor in pairs: <hask>(f a, g a)</hask>. 

+  * Constructor in arrows/functions: <hask>f a ~> g a</hask>. 

+  
+  == Other features == 

+  
+  === Composable bijections === 

+  
+  Given all the type constructors and compositions of them, I found myself writing some pretty awkward code to wrap & unwrap through multiple layers. Composable bijections help a lot. 

−  == Datadriven computation == 
+  The <hask>Data.Bijection</hask> module is inspired by [http://citeseer.ist.psu.edu/alimarine05there.html There and Back Again: Arrows for Invertible Programming], though done here in a less general setting. 
−  The representation of datadriven computations is quite simple and general. They have a ''news'' publisher (<hask>news</hask>) and a source of new values (<hask>src</hask>). Clients interested in the value subscribe to <hask>news</hask> and extract a new value from <hask>src</hask> when notified that the value may have changed. 
+  === Pair & functionlike types === 
−  <haskell> 
+  The <hask>Data.Zip</hask> and <hask>Data.Lambda</hask> patterns emerged while working on [[DeepArrow]] and [[Eros]]. <hask>Data.Zip</hask> generalizes <hask>zip</hask> and <hask>unzip</hask> from <hask>[]</hask> to other functors. It also provides variants of type <hask>f a > f (a,b)</hask> and <hask>f a > f (a,b)</hask>. <hask>Data.Lambda</hask> is similar with classes for lambdalike constructions. 
−  type DataDrivenG news src = Compose ((,) news) src 

−  </haskell> 

−  Thanks to properties of [http://darcs.haskell.org/packages/TypeCompose/doc/html/ControlCompose.html#t%3ACompose <hask>Compose</hask>], when <hask>news</hask> is a [http://www.haskell.org/ghc/docs/latest/html/libraries/base/DataMonoid.html#t%3AMonoid monoid] and <hask>src</hask> is an applicative functor, <hask>DataDriven news src</hask> is an applicative functor also. The applicative property is very convenient for composition. 
+  For example uses of <hask>Pair</hask> and <hask>Lambda</hask>, see [[TV]] and [[Eros]]. 
−  To see how our simple definitions manage datadriven computations, expand the <hask>Applicative</hask> instances of <hask>Compose</hask> and <hask>(,) a</hask>: 
+  === References === 
−  <haskell> 

−  instance (Applicative src) => Applicative (DataDrivenG news src) where 

−  pure a = Comp (mempty, pure a) 

−  Comp (newsf,srcf) <*> Comp (newsx, srcx) = 

−  Comp (newsf `mappend` newsx) (getf <*> getx) 

−  </haskell> 

−  The idea here is that <hask>mempty</hask> is publisher that never has news to report, while <hask>mappend</hask> combines publishers into one that reports all the news of either. Thus <hask>DataDrivenG</hask> accumulates event sources as it composes, as well as delegating to whatever composition is done by <hask>src</hask>. 
+  Monads with references. Direct ripoff from [http://citeseer.ist.psu.edu/473734.html Global Variables in Haskell]. 
−  === Specializing === 
+  === Titling === 
−  Specializing, introduce types of "sinks" (consumers) of values, "updaters" (actions), and "news publishers" (somewhere to register updaters to be executed when events occur). 
+  For giving titles to things. I know it sounds kind of random. More useful than I first thought. Used in [[Phooey]], [[TV]], and [[Eros]]. 
−  <haskell> 
+  === Partial values === 
−  type Sink src a = a > Updater src 

−  type Updater src = src () 

−  type News src = Sink src (Updater src) 

−  </haskell> 

−  And specialize <hask>DataDriven</hask> for news publishers: 
+  A monoid of partial values. See the [http://conal.net/blog/posts/atypeforpartialvalues/ teaser] and [http://conal.net/blog/posts/implementingatypeforpartialvalues/ solution] blog 
−  <haskell> 
+  posts. 
−  type DataDriven src = DataDrivenG (News src) src 

−  </haskell> 

−  For instance, the "Source" types used in [[Phooey]] are defined simply as 
+  === Contextdependent monoids === 
−  <haskell> 

−  type Source = DataDriven IO 

−  </haskell> 

−  Note that <hask>News src</hask> is a [http://www.haskell.org/ghc/docs/latest/html/libraries/base/DataMonoid.html#t%3AMonoid monoid] when <hask>src ()</hask> is. In particular, given any applicative functor <hask>f</hask>, we can supply the following: 
+  Bit of an oddball also. <hask>Data.CxMonoid</hask> defines a sort of metamonoid, that can be supplied dynamically with choices of <hask>mempty</hask> and <hask>mappend</hask>. Used in [[Phooey]] (starting with version 1.3) so that layout could be a monoid but still vary in style. 
−  <haskell> 

−   Standard instance: Applicative functor applied to monoid 

−  instance Monoid a => Monoid (f a) where { mempty = pure mempty; mappend = (*>) } 

−  </haskell> 

−  Note that <hask>()</hask> is a monoid. See an example in the [http://darcs.haskell.org/packages/TypeCompose/doc/html/src.Control.Instances.hs.html <hask>Control.Instances</hask> module]. 
Latest revision as of 17:48, 9 January 2011
Contents 
[edit] 1 Abstract
TypeCompose provides some classes & instances for forms of type composition, as well as some modules that haven't found another home.
Besides this wiki page, here are more ways to find out about TypeCompose:
 Visit the Hackage page for library documentation and to download & install.
 Or install with cabal install TypeCompose.
 Get the code repository: darcs get http://code.haskell.org/~conal/code/TypeCompose.
[edit] 2 Type composition
TheControl.Compose
 Various type compositions (unary/unary, binary/unary, etc). Most are from Applicative Programming with Effects. In particular, composes functors in to functors and applicative functors (AFs) into AFs. (In contrast, monads do not in general compose.) Composition makes AFbased programming simple and elegant, partly because we don't need an AF counterpart to monad transformers.g `O` f
 Cofunctors (contravariant functors). Great for "consumer" types, just as functors suit "producer" (container) types. There are several composition options.
 Type argument flip. Handy for cofunctors: use , forFlip (>) o.(> o)
 Constructor in pairs: .(f a, g a)
 Constructor in arrows/functions: .f a ~> g a
[edit] 3 Other features
[edit] 3.1 Composable bijections
Given all the type constructors and compositions of them, I found myself writing some pretty awkward code to wrap & unwrap through multiple layers. Composable bijections help a lot.
TheData.Bijection
[edit] 3.2 Pair & functionlike types
TheData.Zip
Data.Lambda
Data.Zip
zip
unzip
[]
f a > f (a,b)
f a > f (a,b)
Data.Lambda
Pair
Lambda
[edit] 3.3 References
Monads with references. Direct ripoff from Global Variables in Haskell.
[edit] 3.4 Titling
For giving titles to things. I know it sounds kind of random. More useful than I first thought. Used in Phooey, TV, and Eros.
[edit] 3.5 Partial values
A monoid of partial values. See the teaser and solution blog posts.
[edit] 3.6 Contextdependent monoids
Bit of an oddball also.Data.CxMonoid
mempty
mappend