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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Data-Functor-Apply.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">semigroupoids-5.0.0.4: Semigroupoids: Category sans id</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Copyright</th><td>(C) 2011-2015 Edward Kmett</td></tr><tr><th>License</th><td>BSD-style (see the file LICENSE)</td></tr><tr><th>Maintainer</th><td>Edward Kmett <ekmett@gmail.com></td></tr><tr><th>Stability</th><td>provisional</td></tr><tr><th>Portability</th><td>portable</td></tr><tr><th>Safe Haskell</th><td>Safe</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Data.Functor.Apply</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">Functors</a></li><li><a href="#g:2">Apply - a strong lax semimonoidal endofunctor</a></li><li><a href="#g:3">Wrappers</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc empty"> </div></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">class</span> <a href="#t:Functor">Functor</a> f <span class="keyword">where</span><ul class="subs"><li><a href="#v:fmap">fmap</a> :: (a -> b) -> f a -> f b</li><li><a href="#v:-60--36-">(<$)</a> :: a -> f b -> f a</li></ul></li><li class="src short"><a href="#v:-60--36--62-">(<$>)</a> :: <a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => (a -> b) -> f a -> f b</li><li class="src short"><a href="#v:-36--62-">($>)</a> :: <a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => f a -> b -> f b</li><li class="src short"><span class="keyword">class</span> <a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="#t:Apply">Apply</a> f <span class="keyword">where</span><ul class="subs"><li><a href="#v:-60-.-62-">(<.>)</a> :: f (a -> b) -> f a -> f b</li><li><a href="#v:.-62-">(.>)</a> :: f a -> f b -> f b</li><li><a href="#v:-60-.">(<.)</a> :: f a -> f b -> f a</li></ul></li><li class="src short"><a href="#v:-60-..-62-">(<..>)</a> :: <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => w a -> w (a -> b) -> w b</li><li class="src short"><a href="#v:liftF2">liftF2</a> :: <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => (a -> b -> c) -> w a -> w b -> w c</li><li class="src short"><a href="#v:liftF3">liftF3</a> :: <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => (a -> b -> c -> d) -> w a -> w b -> w c -> w d</li><li class="src short"><span class="keyword">newtype</span> <a href="#t:WrappedApplicative">WrappedApplicative</a> f a = <a href="#v:WrapApplicative">WrapApplicative</a> {<ul class="subs"><li><a href="#v:unwrapApplicative">unwrapApplicative</a> :: f a</li></ul>}</li><li class="src short"><span class="keyword">newtype</span> <a href="#t:MaybeApply">MaybeApply</a> f a = <a href="#v:MaybeApply">MaybeApply</a> {<ul class="subs"><li><a href="#v:runMaybeApply">runMaybeApply</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Either.html#t:Either">Either</a> (f a) a</li></ul>}</li></ul></div><div id="interface"><h1 id="g:1">Functors</h1><div class="top"><p class="src"><span class="keyword">class</span> <a name="t:Functor" class="def">Functor</a> f <span class="keyword">where</span></p><div class="doc"><p>The <code><a href="Data-Functor-Apply.html#t:Functor">Functor</a></code> class is used for types that can be mapped over.
Instances of <code><a href="Data-Functor-Apply.html#t:Functor">Functor</a></code> should satisfy the following laws:</p><pre>fmap id == id
fmap (f . g) == fmap f . fmap g</pre><p>The instances of <code><a href="Data-Functor-Apply.html#t:Functor">Functor</a></code> for lists, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#v:Maybe">Maybe</a></code> and <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/System-IO.html#v:IO">IO</a></code>
satisfy these laws.</p></div><div class="subs minimal"><p class="caption">Minimal complete definition</p><p class="src"><a href="Data-Functor-Apply.html#v:fmap">fmap</a></p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:fmap" class="def">fmap</a> :: (a -> b) -> f a -> f b</p><p class="src"><a name="v:-60--36-" class="def">(<$)</a> :: a -> f b -> f a <span class="fixity">infixl 4</span><span class="rightedge"></span></p><div class="doc"><p>Replace all locations in the input with the same value.
The default definition is <code><code><a href="Data-Functor-Apply.html#v:fmap">fmap</a></code> . <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Function.html#v:const">const</a></code></code>, but this may be
overridden with a more efficient version.</p></div></div><div class="subs instances"><p id="control.i:Functor" class="caption collapser" onclick="toggleSection('i:Functor')">Instances</p><div id="section.i:Functor" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> []</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/System-IO.html#t:IO">IO</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> Id</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Functor-Identity.html#t:Identity">Identity</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:ZipList">ZipList</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Exception.html#t:Handler">Handler</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:First">First</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Last">Last</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> Id</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> Put</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> Digit</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> Node</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> Elem</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> FingerTree</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-IntMap-Strict.html#t:IntMap">IntMap</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Tree.html#t:Tree">Tree</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Sequence.html#t:Seq">Seq</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Sequence.html#t:ViewL">ViewL</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Sequence.html#t:ViewR">ViewR</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Min">Min</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Max">Max</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:First">First</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Last">Last</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Option">Option</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> ((->) r)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Either.html#t:Either">Either</a> a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ix.html#t:Ix">Ix</a> i => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/array-0.5.1.0/Data-Array.html#t:Array">Array</a> i)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (StateL s)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (StateR s)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Const">Const</a> m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad.html#t:Monad">Monad</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:WrappedMonad">WrappedMonad</a> m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Arrow.html#t:Arrow">Arrow</a> a => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Arrow.html#t:ArrowMonad">ArrowMonad</a> a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Proxy.html#t:Proxy">Proxy</a> *)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (StateL s)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (StateR s)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Bifunctor-Apply.html#t:Bifunctor">Bifunctor</a> p => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Join.html#t:Join">Join</a> p)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Identity.html#t:IdentityT">IdentityT</a> m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (State s)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Map-Lazy.html#t:Map">Map</a> k)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Arg">Arg</a> a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Reverse.html#t:Reverse">Reverse</a> f)</span></td><td class="doc"><p>Derived instance.</p></td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Applicative-Backwards.html#t:Backwards">Backwards</a> f)</span></td><td class="doc"><p>Derived instance.</p></td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-List.html#t:ListT">ListT</a> m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Applicative-Lift.html#t:Lift">Lift</a> f)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Constant.html#t:Constant">Constant</a> a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (HashMap k)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Arrow.html#t:Arrow">Arrow</a> a => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:WrappedArrow">WrappedArrow</a> a b)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Alt">Alt</a> * f)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Bifunctor-Apply.html#t:Bifunctor">Bifunctor</a> p => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Wrapped.html#t:WrappedBifunctor">WrappedBifunctor</a> p a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> g => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Joker.html#t:Joker">Joker</a> g a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Bifunctor-Apply.html#t:Bifunctor">Bifunctor</a> p => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Flip.html#t:Flip">Flip</a> p a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Clown.html#t:Clown">Clown</a> f a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> f, <a href="Data-Functor-Apply.html#t:Functor">Functor</a> g) => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Data-Functor-Coproduct.html#t:Coproduct">Coproduct</a> f g)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> w => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Traced.html#t:TracedT">TracedT</a> m w)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> w => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Store.html#t:StoreT">StoreT</a> s w)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> w => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Env.html#t:EnvT">EnvT</a> e w)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad.html#t:Cokleisli">Cokleisli</a> w a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-tagged-doc/html/Data-Tagged.html#t:Tagged">Tagged</a> k s)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> f, <a href="Data-Functor-Apply.html#t:Functor">Functor</a> g) => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Sum.html#t:Sum">Sum</a> f g)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> f, <a href="Data-Functor-Apply.html#t:Functor">Functor</a> g) => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Product.html#t:Product">Product</a> f g)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> f, <a href="Data-Functor-Apply.html#t:Functor">Functor</a> g) => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Compose.html#t:Compose">Compose</a> f g)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Writer-Strict.html#t:WriterT">WriterT</a> w m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Writer-Lazy.html#t:WriterT">WriterT</a> w m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Error.html#t:ErrorT">ErrorT</a> e m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Except.html#t:ExceptT">ExceptT</a> e m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-State-Strict.html#t:StateT">StateT</a> s m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-State-Lazy.html#t:StateT">StateT</a> s m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Reader.html#t:ReaderT">ReaderT</a> r m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Cont.html#t:ContT">ContT</a> r m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="Data-Semigroupoid-Static.html#t:Static">Static</a> f a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> f, <a href="Data-Bifunctor-Apply.html#t:Bifunctor">Bifunctor</a> p) => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Tannen.html#t:Tannen">Tannen</a> f p a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Bifunctor-Apply.html#t:Bifunctor">Bifunctor</a> p, <a href="Data-Functor-Apply.html#t:Functor">Functor</a> g) => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Biff.html#t:Biff">Biff</a> p f g a)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-RWS-Strict.html#t:RWST">RWST</a> r w s m)</span></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> m => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-RWS-Lazy.html#t:RWST">RWST</a> r w s m)</span></td><td class="doc empty"> </td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:-60--36--62-" class="def">(<$>)</a> :: <a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => (a -> b) -> f a -> f b <span class="fixity">infixl 4</span><span class="rightedge"></span></p><div class="doc"><p>An infix synonym for <code><a href="Data-Functor-Apply.html#v:fmap">fmap</a></code>.</p><h4 id="control.ch:-60--36--62-0" class="caption collapser" onclick="toggleSection('ch:-60--36--62-0')">Examples</h4><div id="section.ch:-60--36--62-0" class="hide"><p>Convert from a <code><code>Maybe</code> <code>Int</code></code> to a <code><code>Maybe</code> <code>String</code></code> using <code>show</code>:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>show <$> Nothing
</code></strong>Nothing
<code class="prompt">>>> </code><strong class="userinput"><code>show <$> Just 3
</code></strong>Just "3"
</pre><p>Convert from an <code><code>Either</code> <code>Int</code> <code>Int</code></code> to an <code><code>Either</code> <code>Int</code></code>
<code>String</code> using <code>show</code>:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>show <$> Left 17
</code></strong>Left 17
<code class="prompt">>>> </code><strong class="userinput"><code>show <$> Right 17
</code></strong>Right "17"
</pre><p>Double each element of a list:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>(*2) <$> [1,2,3]
</code></strong>[2,4,6]
</pre><p>Apply <code>even</code> to the second element of a pair:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>even <$> (2,2)
</code></strong>(2,True)
</pre></div></div></div><div class="top"><p class="src"><a name="v:-36--62-" class="def">($>)</a> :: <a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => f a -> b -> f b <span class="fixity">infixl 4</span><span class="rightedge"></span></p><div class="doc"><p>Flipped version of <code><a href="Data-Functor-Apply.html#v:-60--36-"><$</a></code>.</p><h4 id="control.ch:-36--62-0" class="caption collapser" onclick="toggleSection('ch:-36--62-0')">Examples</h4><div id="section.ch:-36--62-0" class="hide"><p>Replace the contents of a <code><code>Maybe</code> <code>Int</code></code> with a constant <code>String</code>:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>Nothing $> "foo"
</code></strong>Nothing
<code class="prompt">>>> </code><strong class="userinput"><code>Just 90210 $> "foo"
</code></strong>Just "foo"
</pre><p>Replace the contents of an <code><code>Either</code> <code>Int</code> <code>Int</code></code> with a constant
<code>String</code>, resulting in an <code><code>Either</code> <code>Int</code> <code>String</code></code>:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>Left 8675309 $> "foo"
</code></strong>Left 8675309
<code class="prompt">>>> </code><strong class="userinput"><code>Right 8675309 $> "foo"
</code></strong>Right "foo"
</pre><p>Replace each element of a list with a constant <code>String</code>:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>[1,2,3] $> "foo"
</code></strong>["foo","foo","foo"]
</pre><p>Replace the second element of a pair with a constant <code>String</code>:</p><pre class="screen"><code class="prompt">>>> </code><strong class="userinput"><code>(1,2) $> "foo"
</code></strong>(1,"foo")
</pre></div><p><em>Since: 4.7.0.0</em></p></div></div><h1 id="g:2">Apply - a strong lax semimonoidal endofunctor</h1><div class="top"><p class="src"><span class="keyword">class</span> <a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a name="t:Apply" class="def">Apply</a> f <span class="keyword">where</span> <a href="src/Data-Functor-Bind-Class.html#Apply" class="link">Source</a></p><div class="doc"><p>A strong lax semi-monoidal endofunctor.
This is equivalent to an <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a></code> without <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#v:pure">pure</a></code>.</p><p>Laws:</p><pre>associative composition: (.) <$> u <.> v <.> w = u <.> (v <.> w)</pre></div><div class="subs minimal"><p class="caption">Minimal complete definition</p><p class="src"><a href="Data-Functor-Apply.html#v:-60-.-62-">(<.>)</a></p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:-60-.-62-" class="def">(<.>)</a> :: f (a -> b) -> f a -> f b <span class="fixity">infixl 4</span><span class="rightedge"></span> <a href="src/Data-Functor-Bind-Class.html#%3C.%3E" class="link">Source</a></p><p class="src"><a name="v:.-62-" class="def">(.>)</a> :: f a -> f b -> f b <span class="fixity">infixl 4</span><span class="rightedge"></span> <a href="src/Data-Functor-Bind-Class.html#.%3E" class="link">Source</a></p><div class="doc"><pre>a .> b = const id <$> a <.> b</pre></div><p class="src"><a name="v:-60-." class="def">(<.)</a> :: f a -> f b -> f a <span class="fixity">infixl 4</span><span class="rightedge"></span> <a href="src/Data-Functor-Bind-Class.html#%3C." class="link">Source</a></p><div class="doc"><pre>a <. b = const <$> a <.> b</pre></div></div><div class="subs instances"><p id="control.i:Apply" class="caption collapser" onclick="toggleSection('i:Apply')">Instances</p><div id="section.i:Apply" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> []</span> <a href="src/Data-Functor-Bind-Class.html#line-187" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/System-IO.html#t:IO">IO</a></span> <a href="src/Data-Functor-Bind-Class.html#line-192" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Functor-Identity.html#t:Identity">Identity</a></span> <a href="src/Data-Functor-Bind-Class.html#line-207" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:ZipList">ZipList</a></span> <a href="src/Data-Functor-Bind-Class.html#line-182" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a></span> <a href="src/Data-Functor-Bind-Class.html#line-197" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-IntMap-Strict.html#t:IntMap">IntMap</a></span> <a href="src/Data-Functor-Bind-Class.html#line-233" class="link">Source</a></td><td class="doc"><p>An IntMap is not <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a></code>, but it is an instance of <code><a href="Data-Functor-Apply.html#t:Apply">Apply</a></code></p></td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Tree.html#t:Tree">Tree</a></span> <a href="src/Data-Functor-Bind-Class.html#line-241" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Sequence.html#t:Seq">Seq</a></span> <a href="src/Data-Functor-Bind-Class.html#line-238" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Option">Option</a></span> <a href="src/Data-Functor-Bind-Class.html#line-202" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-Functor-Bind-Class.html#line-156" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> ((->) m)</span> <a href="src/Data-Functor-Bind-Class.html#line-177" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Either.html#t:Either">Either</a> a)</span> <a href="src/Data-Functor-Bind-Class.html#line-159" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> m)</span> <a href="src/Data-Functor-Bind-Class.html#line-151" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Const">Const</a> m)</span> <a href="src/Data-Functor-Bind-Class.html#line-172" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad.html#t:Monad">Monad</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:WrappedMonad">WrappedMonad</a> m)</span> <a href="src/Data-Functor-Bind-Class.html#line-215" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Bifunctor-Apply.html#t:Biapply">Biapply</a> p => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-bifunctors-doc/html/Data-Bifunctor-Join.html#t:Join">Join</a> p)</span> <a href="src/Data-Functor-Bind-Class.html#line-590" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Identity.html#t:IdentityT">IdentityT</a> w)</span> <a href="src/Data-Functor-Bind-Class.html#line-212" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> k => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Map-Lazy.html#t:Map">Map</a> k)</span> <a href="src/Data-Functor-Bind-Class.html#line-227" class="link">Source</a></td><td class="doc"><p>A Map is not <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a></code>, but it is an instance of <code><a href="Data-Functor-Apply.html#t:Apply">Apply</a></code></p></td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Reverse.html#t:Reverse">Reverse</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-148" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Applicative-Backwards.html#t:Backwards">Backwards</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-128" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad.html#t:Monad">Monad</a> m) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m)</span> <a href="src/Data-Functor-Bind-Class.html#line-248" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-List.html#t:ListT">ListT</a> m)</span> <a href="src/Data-Functor-Bind-Class.html#line-261" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Applicative-Lift.html#t:Lift">Lift</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-139" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Constant.html#t:Constant">Constant</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-134" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-327" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-305" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Arrow.html#t:Arrow">Arrow</a> a => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:WrappedArrow">WrappedArrow</a> a b)</span> <a href="src/Data-Functor-Bind-Class.html#line-220" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Traced.html#t:TracedT">TracedT</a> m w)</span> <a href="src/Data-Functor-Bind-Class.html#line-295" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Apply">Apply</a> w, <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> s) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Store.html#t:StoreT">StoreT</a> s w)</span> <a href="src/Data-Functor-Bind-Class.html#line-292" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> e, <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad-Trans-Env.html#t:EnvT">EnvT</a> e w)</span> <a href="src/Data-Functor-Bind-Class.html#line-289" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad.html#t:Cokleisli">Cokleisli</a> w a)</span> <a href="src/Data-Functor-Bind-Class.html#line-358" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Apply">Apply</a> f, <a href="Data-Functor-Apply.html#t:Apply">Apply</a> g) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Product.html#t:Product">Product</a> f g)</span> <a href="src/Data-Functor-Bind-Class.html#line-145" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Apply">Apply</a> f, <a href="Data-Functor-Apply.html#t:Apply">Apply</a> g) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Data-Functor-Compose.html#t:Compose">Compose</a> f g)</span> <a href="src/Data-Functor-Bind-Class.html#line-131" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Apply">Apply</a> m, <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> w) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Writer-Strict.html#t:WriterT">WriterT</a> w m)</span> <a href="src/Data-Functor-Bind-Class.html#line-265" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Apply">Apply</a> m, <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> w) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Writer-Lazy.html#t:WriterT">WriterT</a> w m)</span> <a href="src/Data-Functor-Bind-Class.html#line-269" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad.html#t:Monad">Monad</a> m) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Error.html#t:ErrorT">ErrorT</a> e m)</span> <a href="src/Data-Functor-Bind-Class.html#line-252" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Apply.html#t:Functor">Functor</a> m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad.html#t:Monad">Monad</a> m) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Except.html#t:ExceptT">ExceptT</a> e m)</span> <a href="src/Data-Functor-Bind-Class.html#line-255" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Bind.html#t:Bind">Bind</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-State-Strict.html#t:StateT">StateT</a> s m)</span> <a href="src/Data-Functor-Bind-Class.html#line-273" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Bind.html#t:Bind">Bind</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-State-Lazy.html#t:StateT">StateT</a> s m)</span> <a href="src/Data-Functor-Bind-Class.html#line-276" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> m => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Reader.html#t:ReaderT">ReaderT</a> e m)</span> <a href="src/Data-Functor-Bind-Class.html#line-258" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-Cont.html#t:ContT">ContT</a> r m)</span> <a href="src/Data-Functor-Bind-Class.html#line-285" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="Data-Semigroupoid-Static.html#t:Static">Static</a> f a)</span> <a href="src/Data-Functor-Bind-Class.html#line-52" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Bind.html#t:Bind">Bind</a> m, <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> w) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-RWS-Strict.html#t:RWST">RWST</a> r w s m)</span> <a href="src/Data-Functor-Bind-Class.html#line-279" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Functor-Bind.html#t:Bind">Bind</a> m, <a href="file:///usr/share/doc/libghc-semigroups-doc/html/Data-Semigroup.html#t:Semigroup">Semigroup</a> w) => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.4.2.0/Control-Monad-Trans-RWS-Lazy.html#t:RWST">RWST</a> r w s m)</span> <a href="src/Data-Functor-Bind-Class.html#line-282" class="link">Source</a></td><td class="doc empty"> </td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:-60-..-62-" class="def">(<..>)</a> :: <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => w a -> w (a -> b) -> w b <span class="fixity">infixl 4</span><span class="rightedge"></span> <a href="src/Data-Functor-Apply.html#%3C..%3E" class="link">Source</a></p><div class="doc"><p>A variant of <code><a href="Data-Functor-Apply.html#v:-60-.-62-"><.></a></code> with the arguments reversed.</p></div></div><div class="top"><p class="src"><a name="v:liftF2" class="def">liftF2</a> :: <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => (a -> b -> c) -> w a -> w b -> w c <a href="src/Data-Functor-Apply.html#liftF2" class="link">Source</a></p><div class="doc"><p>Lift a binary function into a comonad with zipping</p></div></div><div class="top"><p class="src"><a name="v:liftF3" class="def">liftF3</a> :: <a href="Data-Functor-Apply.html#t:Apply">Apply</a> w => (a -> b -> c -> d) -> w a -> w b -> w c -> w d <a href="src/Data-Functor-Apply.html#liftF3" class="link">Source</a></p><div class="doc"><p>Lift a ternary function into a comonad with zipping</p></div></div><h1 id="g:3">Wrappers</h1><div class="top"><p class="src"><span class="keyword">newtype</span> <a name="t:WrappedApplicative" class="def">WrappedApplicative</a> f a <a href="src/Data-Functor-Bind-Class.html#WrappedApplicative" class="link">Source</a></p><div class="doc"><p>Wrap an <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a></code> to be used as a member of <code><a href="Data-Functor-Apply.html#t:Apply">Apply</a></code></p></div><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:WrapApplicative" class="def">WrapApplicative</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div class="subs fields"><p class="caption">Fields</p><dl><dt class="src"><a name="v:unwrapApplicative" class="def">unwrapApplicative</a> :: f a</dt><dd class="doc empty"> </dd></dl><div class="clear"></div></div></td></tr></table></div><div class="subs instances"><p id="control.i:WrappedApplicative" class="caption collapser" onclick="toggleSection('i:WrappedApplicative')">Instances</p><div id="section.i:WrappedApplicative" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-302" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a> f => <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-310" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Alternative">Alternative</a> f => <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Alternative">Alternative</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-316" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-305" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Alternative">Alternative</a> f => <a href="Data-Functor-Alt.html#t:Alt">Alt</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Alt.html#line-147" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Alternative">Alternative</a> f => <a href="Data-Functor-Plus.html#t:Plus">Plus</a> (<a href="Data-Functor-Apply.html#t:WrappedApplicative">WrappedApplicative</a> f)</span> <a href="src/Data-Functor-Plus.html#line-96" class="link">Source</a></td><td class="doc empty"> </td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">newtype</span> <a name="t:MaybeApply" class="def">MaybeApply</a> f a <a href="src/Data-Functor-Bind-Class.html#MaybeApply" class="link">Source</a></p><div class="doc"><p>Transform a Apply into an Applicative by adding a unit.</p></div><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:MaybeApply" class="def">MaybeApply</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div class="subs fields"><p class="caption">Fields</p><dl><dt class="src"><a name="v:runMaybeApply" class="def">runMaybeApply</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Either.html#t:Either">Either</a> (f a) a</dt><dd class="doc empty"> </dd></dl><div class="clear"></div></div></td></tr></table></div><div class="subs instances"><p id="control.i:MaybeApply" class="caption collapser" onclick="toggleSection('i:MaybeApply')">Instances</p><div id="section.i:MaybeApply" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Functor">Functor</a> f => <a href="Data-Functor-Apply.html#t:Functor">Functor</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-323" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-341" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad.html#t:Comonad">Comonad</a> f => <a href="file:///usr/share/doc/libghc-comonad-doc/html/Control-Comonad.html#t:Comonad">Comonad</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-352" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Extend.html#t:Extend">Extend</a> f => <a href="Data-Functor-Extend.html#t:Extend">Extend</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-347" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Functor-Apply.html#t:Apply">Apply</a> f => <a href="Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="Data-Functor-Apply.html#t:MaybeApply">MaybeApply</a> f)</span> <a href="src/Data-Functor-Bind-Class.html#line-327" class="link">Source</a></td><td class="doc empty"> </td></tr></table></div></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.16.1</p></div></body></html>
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