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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Control.Monad.Reader</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script src="file:///usr/share/javascript/mathjax/MathJax.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Control-Monad-Reader.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">mtl-2.2.1: Monad classes, using functional dependencies</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Copyright</th><td>(c) Andy Gill 2001,
               (c) Oregon Graduate Institute of Science and Technology 2001,
               (c) Jeff Newbern 2003-2007,
               (c) Andriy Palamarchuk 2007</td></tr><tr><th>License</th><td>BSD-style (see the file LICENSE)</td></tr><tr><th>Maintainer</th><td>libraries@haskell.org</td></tr><tr><th>Stability</th><td>experimental</td></tr><tr><th>Portability</th><td>non-portable (multi-param classes, functional dependencies)</td></tr><tr><th>Safe Haskell</th><td>Safe</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Control.Monad.Reader</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">MonadReader class</a></li><li><a href="#g:2">The Reader monad</a></li><li><a href="#g:3">The ReaderT monad transformer</a></li><li><a href="#g:4">Example 1: Simple Reader Usage</a></li><li><a href="#g:5">Example 2: Modifying Reader Content With <code>local</code></a></li><li><a href="#g:6">Example 3: <code>ReaderT</code> Monad Transformer</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc"><dl><dt>Computation type:</dt><dd>Computations which read values from a shared environment.</dd><dt>Binding strategy:</dt><dd>Monad values are functions from the environment to a value.
The bound function is applied to the bound value, and both have access
to the shared environment.</dd><dt>Useful for:</dt><dd>Maintaining variable bindings, or other shared environment.</dd><dt>Zero and plus:</dt><dd>None.</dd><dt>Example type:</dt><dd><code><code><a href="Control-Monad-Reader.html#t:Reader">Reader</a></code> [(String,Value)] a</code></dd></dl><p>The <code><a href="Control-Monad-Reader.html#t:Reader">Reader</a></code> monad (also called the Environment monad).
Represents a computation, which can read values from
a shared environment, pass values from function to function,
and execute sub-computations in a modified environment.
Using <code><a href="Control-Monad-Reader.html#t:Reader">Reader</a></code> monad for such computations is often clearer and easier
than using the <code><a href="Control-Monad-State.html#v:State">State</a></code> monad.</p><p>Inspired by the paper
  <em>Functional Programming with Overloading and Higher-Order Polymorphism</em>,
    Mark P Jones (<a href="http://web.cecs.pdx.edu/~mpj/">http://web.cecs.pdx.edu/~mpj/</a>)
    Advanced School of Functional Programming, 1995.</p></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="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m =&gt; <a href="#t:MonadReader">MonadReader</a> r m | m -&gt; r <span class="keyword">where</span><ul class="subs"></ul></li><li class="src short"><a href="#v:asks">asks</a> :: <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; (r -&gt; a) -&gt; m a</li><li class="src short"><span class="keyword">type</span> <a href="#t:Reader">Reader</a> r = <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Functor-Identity.html#t:Identity">Identity</a></li><li class="src short"><a href="#v:runReader">runReader</a> :: <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r a -&gt; r -&gt; a</li><li class="src short"><a href="#v:mapReader">mapReader</a> :: (a -&gt; b) -&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r a -&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r b</li><li class="src short"><a href="#v:withReader">withReader</a> :: (r' -&gt; r) -&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r a -&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r' a</li><li class="src short"><span class="keyword">newtype</span> <a href="#t:ReaderT">ReaderT</a> k r m a :: <span class="keyword">forall</span> k. <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> -&gt; (k -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a>) -&gt; k -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> = <a href="#v:ReaderT">ReaderT</a> {<ul class="subs"><li><a href="#v:runReaderT">runReaderT</a> :: r -&gt; m a</li></ul>}</li><li class="src short"><a href="#v:runReaderT">runReaderT</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r m a -&gt; r -&gt; m a</li><li class="src short"><a href="#v:mapReaderT">mapReaderT</a> :: (m a -&gt; n b) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k1 r n b</li><li class="src short"><a href="#v:withReaderT">withReaderT</a> :: (r' -&gt; r) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r' m a</li><li class="src short">module <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html">Control.Monad</a></li><li class="src short">module <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fix.html">Control.Monad.Fix</a></li><li class="src short">module <a href="Control-Monad-Trans.html">Control.Monad.Trans</a></li></ul></div><div id="interface"><h1 id="g:1">MonadReader class</h1><div class="top"><p class="src"><span class="keyword">class</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m =&gt; <a id="t:MonadReader" class="def">MonadReader</a> r m | m -&gt; r <span class="keyword">where</span> <a href="src/Control-Monad-Reader-Class.html#MonadReader" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></p><div class="doc"><p>See examples in <a href="Control-Monad-Reader.html">Control.Monad.Reader</a>.
 Note, the partially applied function type <code>(-&gt;) r</code> is a simple reader monad.
 See the <code>instance</code> declaration below.</p></div><div class="subs minimal"><p class="caption">Minimal complete definition</p><p class="src">(<a href="Control-Monad-Reader.html#v:ask">ask</a> | <a href="Control-Monad-Reader.html#v:reader">reader</a>), <a href="Control-Monad-Reader.html#v:local">local</a></p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a id="v:ask" class="def">ask</a> :: m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><div class="doc"><p>Retrieves the monad environment.</p></div><p class="src"><a id="v:local" class="def">local</a> :: (r -&gt; r) -&gt; m a -&gt; m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><div class="doc"><p>Executes a computation in a modified environment.</p></div><p class="src"><a id="v:reader" class="def">reader</a> :: (r -&gt; a) -&gt; m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p><div class="doc"><p>Retrieves a function of the current environment.</p></div></div><div class="subs instances"><p id="control.i:MonadReader" class="caption collapser" onclick="toggleSection('i:MonadReader')">Instances</p><div id="section.i:MonadReader" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:1" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:1')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m)</span> <a href="src/Control-Monad-Reader-Class.html#line-152" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Maybe.html#t:MaybeT">MaybeT</a> m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:2" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:2')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-List.html#t:ListT">ListT</a> m)</span> <a href="src/Control-Monad-Reader-Class.html#line-147" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-List.html#t:ListT">ListT</a> m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-List.html#t:ListT">ListT</a> m a -&gt; <a href="Control-Monad-List.html#t:ListT">ListT</a> m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-List.html#t:ListT">ListT</a> m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:3" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:3')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r ((-&gt;) r)</span> <a href="src/Control-Monad-Reader-Class.html#line-101" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: r -&gt; r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; (r -&gt; a) -&gt; r -&gt; a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; r -&gt; a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:4" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:4')"></span> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Monoid.html#t:Monoid">Monoid</a> w, <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m) =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-Writer-Strict.html#t:WriterT">WriterT</a> w m)</span> <a href="src/Control-Monad-Reader-Class.html#line-172" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:4" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Writer-Strict.html#t:WriterT">WriterT</a> w m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-Writer-Strict.html#t:WriterT">WriterT</a> w m a -&gt; <a href="Control-Monad-Writer-Strict.html#t:WriterT">WriterT</a> w m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-Writer-Strict.html#t:WriterT">WriterT</a> w m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:5" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:5')"></span> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Monoid.html#t:Monoid">Monoid</a> w, <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m) =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-Writer-Lazy.html#t:WriterT">WriterT</a> w m)</span> <a href="src/Control-Monad-Reader-Class.html#line-167" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:5" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Writer-Lazy.html#t:WriterT">WriterT</a> w m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-Writer-Lazy.html#t:WriterT">WriterT</a> w m a -&gt; <a href="Control-Monad-Writer-Lazy.html#t:WriterT">WriterT</a> w m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-Writer-Lazy.html#t:WriterT">WriterT</a> w m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:6" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:6')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-State-Strict.html#t:StateT">StateT</a> s m)</span> <a href="src/Control-Monad-Reader-Class.html#line-162" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:6" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-State-Strict.html#t:StateT">StateT</a> s m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-State-Strict.html#t:StateT">StateT</a> s m a -&gt; <a href="Control-Monad-State-Strict.html#t:StateT">StateT</a> s m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-State-Strict.html#t:StateT">StateT</a> s m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:7" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:7')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-State-Lazy.html#t:StateT">StateT</a> s m)</span> <a href="src/Control-Monad-Reader-Class.html#line-157" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:7" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-State-Lazy.html#t:StateT">StateT</a> s m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-State-Lazy.html#t:StateT">StateT</a> s m a -&gt; <a href="Control-Monad-State-Lazy.html#t:StateT">StateT</a> s m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-State-Lazy.html#t:StateT">StateT</a> s m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:8" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:8')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Identity.html#t:IdentityT">IdentityT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> m)</span> <a href="src/Control-Monad-Reader-Class.html#line-142" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:8" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Identity.html#t:IdentityT">IdentityT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Identity.html#t:IdentityT">IdentityT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> m a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Identity.html#t:IdentityT">IdentityT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Identity.html#t:IdentityT">IdentityT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:9" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:9')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-Except.html#t:ExceptT">ExceptT</a> e m)</span> <a href="src/Control-Monad-Reader-Class.html#line-137" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:9" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Except.html#t:ExceptT">ExceptT</a> e m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-Except.html#t:ExceptT">ExceptT</a> e m a -&gt; <a href="Control-Monad-Except.html#t:ExceptT">ExceptT</a> e m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-Except.html#t:ExceptT">ExceptT</a> e m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:10" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:10')"></span> (<a href="Control-Monad-Error-Class.html#t:Error">Error</a> e, <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m) =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-Error.html#t:ErrorT">ErrorT</a> e m)</span> <a href="src/Control-Monad-Reader-Class.html#line-132" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:10" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Error.html#t:ErrorT">ErrorT</a> e m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-Error.html#t:ErrorT">ErrorT</a> e m a -&gt; <a href="Control-Monad-Error.html#t:ErrorT">ErrorT</a> e m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-Error.html#t:ErrorT">ErrorT</a> e m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:11" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:11')"></span> <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r' m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r' (<a href="Control-Monad-Cont.html#t:ContT">ContT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-Reader-Class.html#line-127" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:11" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Cont.html#t:ContT">ContT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m r' <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r' -&gt; r') -&gt; <a href="Control-Monad-Cont.html#t:ContT">ContT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Cont.html#t:ContT">ContT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r' -&gt; a) -&gt; <a href="Control-Monad-Cont.html#t:ContT">ContT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:12" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:12')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-Reader-Class.html#line-106" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:12" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:13" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:13')"></span> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Monoid.html#t:Monoid">Monoid</a> w) =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-RWS-Strict.html#t:RWST">RWST</a> r w s m)</span> <a href="src/Control-Monad-Reader-Class.html#line-116" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:13" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-RWS-Strict.html#t:RWST">RWST</a> r w s m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-RWS-Strict.html#t:RWST">RWST</a> r w s m a -&gt; <a href="Control-Monad-RWS-Strict.html#t:RWST">RWST</a> r w s m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-RWS-Strict.html#t:RWST">RWST</a> r w s m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:MonadReader:MonadReader:14" class="instance expander" onclick="toggleSection('i:ic:MonadReader:MonadReader:14')"></span> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Monoid.html#t:Monoid">Monoid</a> w) =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-RWS-Lazy.html#t:RWST">RWST</a> r w s m)</span> <a href="src/Control-Monad-Reader-Class.html#line-111" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:MonadReader:MonadReader:14" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-RWS-Lazy.html#t:RWST">RWST</a> r w s m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-RWS-Lazy.html#t:RWST">RWST</a> r w s m a -&gt; <a href="Control-Monad-RWS-Lazy.html#t:RWST">RWST</a> r w s m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-RWS-Lazy.html#t:RWST">RWST</a> r w s m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr></table></div></div></div><div class="top"><p class="src"><a id="v:asks" class="def">asks</a> <a href="src/Control-Monad-Reader-Class.html#asks" class="link">Source</a> <a href="#v:asks" class="selflink">#</a></p><div class="subs arguments"><p class="caption">Arguments</p><table><tr><td class="src">:: <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r m</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">=&gt; (r -&gt; a)</td><td class="doc"><p>The selector function to apply to the environment.</p></td></tr><tr><td class="src">-&gt; m a</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="doc"><p>Retrieves a function of the current environment.</p></div></div><h1 id="g:2">The Reader monad</h1><div class="top"><p class="src"><span class="keyword">type</span> <a id="t:Reader" class="def">Reader</a> r = <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Functor-Identity.html#t:Identity">Identity</a> <a href="#t:Reader" class="selflink">#</a></p><div class="doc"><p>The parameterizable reader monad.</p><p>Computations are functions of a shared environment.</p><p>The <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#v:return">return</a></code> function ignores the environment, while <code>&gt;&gt;=</code> passes
 the inherited environment to both subcomputations.</p></div></div><div class="top"><p class="src"><a id="v:runReader" class="def">runReader</a> <a href="#v:runReader" class="selflink">#</a></p><div class="subs arguments"><p class="caption">Arguments</p><table><tr><td class="src">:: <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r a</td><td class="doc"><p>A <code>Reader</code> to run.</p></td></tr><tr><td class="src">-&gt; r</td><td class="doc"><p>An initial environment.</p></td></tr><tr><td class="src">-&gt; a</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="doc"><p>Runs a <code>Reader</code> and extracts the final value from it.
 (The inverse of <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Reader.html#v:reader">reader</a></code>.)</p></div></div><div class="top"><p class="src"><a id="v:mapReader" class="def">mapReader</a> :: (a -&gt; b) -&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r a -&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r b <a href="#v:mapReader" class="selflink">#</a></p><div class="doc"><p>Transform the value returned by a <code>Reader</code>.</p><ul><li><pre><code><a href="Control-Monad-Reader.html#v:runReader">runReader</a></code> (<code><a href="Control-Monad-Reader.html#v:mapReader">mapReader</a></code> f m) = f . <code><a href="Control-Monad-Reader.html#v:runReader">runReader</a></code> m</pre></li></ul></div></div><div class="top"><p class="src"><a id="v:withReader" class="def">withReader</a> <a href="#v:withReader" class="selflink">#</a></p><div class="subs arguments"><p class="caption">Arguments</p><table><tr><td class="src">:: (r' -&gt; r)</td><td class="doc"><p>The function to modify the environment.</p></td></tr><tr><td class="src">-&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r a</td><td class="doc"><p>Computation to run in the modified environment.</p></td></tr><tr><td class="src">-&gt; <a href="Control-Monad-Reader.html#t:Reader">Reader</a> r' a</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="doc"><p>Execute a computation in a modified environment
 (a specialization of <code><a href="Control-Monad-Reader.html#v:withReaderT">withReaderT</a></code>).</p><ul><li><pre><code><a href="Control-Monad-Reader.html#v:runReader">runReader</a></code> (<code><a href="Control-Monad-Reader.html#v:withReader">withReader</a></code> f m) = <code><a href="Control-Monad-Reader.html#v:runReader">runReader</a></code> m . f</pre></li></ul></div></div><h1 id="g:3">The ReaderT monad transformer</h1><div class="top"><p class="src"><span class="keyword">newtype</span> <a id="t:ReaderT" class="def">ReaderT</a> k r m a :: <span class="keyword">forall</span> k. <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> -&gt; (k -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a>) -&gt; k -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> <a href="#t:ReaderT" class="selflink">#</a></p><div class="doc"><p>The reader monad transformer,
 which adds a read-only environment to the given monad.</p><p>The <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#v:return">return</a></code> function ignores the environment, while <code>&gt;&gt;=</code> passes
 the inherited environment to both subcomputations.</p></div><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a id="v:ReaderT" class="def">ReaderT</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div class="subs fields"><p class="caption">Fields</p><ul><li><dfn class="src"><a id="v:runReaderT" class="def">runReaderT</a> :: r -&gt; m a</dfn><div class="doc empty">&nbsp;</div></li></ul></div></td></tr></table></div><div class="subs instances"><p id="control.i:ReaderT" class="caption collapser" onclick="toggleSection('i:ReaderT')">Instances</p><div id="section.i:ReaderT" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadWriter:1" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadWriter:1')"></span> <a href="Control-Monad-Writer-Class.html#t:MonadWriter">MonadWriter</a> w m =&gt; <a href="Control-Monad-Writer-Class.html#t:MonadWriter">MonadWriter</a> w (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-Writer-Class.html#line-157" class="link">Source</a> <a href="#t:MonadWriter" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadWriter:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:writer">writer</a> :: (a, w) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Writer-Class.html#writer" class="link">Source</a> <a href="#v:writer" class="selflink">#</a></p><p class="src"><a href="#v:tell">tell</a> :: w -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m () <a href="src/Control-Monad-Writer-Class.html#tell" class="link">Source</a> <a href="#v:tell" class="selflink">#</a></p><p class="src"><a href="#v:listen">listen</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m (a, w) <a href="src/Control-Monad-Writer-Class.html#listen" class="link">Source</a> <a href="#v:listen" class="selflink">#</a></p><p class="src"><a href="#v:pass">pass</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m (a, w -&gt; w) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Writer-Class.html#pass" class="link">Source</a> <a href="#v:pass" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadState:2" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadState:2')"></span> <a href="Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m =&gt; <a href="Control-Monad-State-Class.html#t:MonadState">MonadState</a> s (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-State-Class.html#line-155" class="link">Source</a> <a href="#t:MonadState" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadState:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:get">get</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m s <a href="src/Control-Monad-State-Class.html#get" class="link">Source</a> <a href="#v:get" class="selflink">#</a></p><p class="src"><a href="#v:put">put</a> :: s -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m () <a href="src/Control-Monad-State-Class.html#put" class="link">Source</a> <a href="#v:put" class="selflink">#</a></p><p class="src"><a href="#v:state">state</a> :: (s -&gt; (a, s)) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-State-Class.html#state" class="link">Source</a> <a href="#v:state" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadReader:3" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadReader:3')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m =&gt; <a href="Control-Monad-Reader.html#t:MonadReader">MonadReader</a> r (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-Reader-Class.html#line-106" class="link">Source</a> <a href="#t:MonadReader" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadReader:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:ask">ask</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m r <a href="src/Control-Monad-Reader-Class.html#ask" class="link">Source</a> <a href="#v:ask" class="selflink">#</a></p><p class="src"><a href="#v:local">local</a> :: (r -&gt; r) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Reader-Class.html#local" class="link">Source</a> <a href="#v:local" class="selflink">#</a></p><p class="src"><a href="#v:reader">reader</a> :: (r -&gt; a) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Reader-Class.html#reader" class="link">Source</a> <a href="#v:reader" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadError:4" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadError:4')"></span> <a href="Control-Monad-Error-Class.html#t:MonadError">MonadError</a> e m =&gt; <a href="Control-Monad-Error-Class.html#t:MonadError">MonadError</a> e (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-Error-Class.html#line-138" class="link">Source</a> <a href="#t:MonadError" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadError:4" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:throwError">throwError</a> :: e -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Error-Class.html#throwError" class="link">Source</a> <a href="#v:throwError" class="selflink">#</a></p><p class="src"><a href="#v:catchError">catchError</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; (e -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Error-Class.html#catchError" class="link">Source</a> <a href="#v:catchError" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadTrans:5" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadTrans:5')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Class.html#t:MonadTrans">MonadTrans</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadTrans:5" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:lift">lift</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m =&gt; m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:lift" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:Monad:6" class="instance expander" onclick="toggleSection('i:id:ReaderT:Monad:6')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:Monad">Monad</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:Monad:6" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-62--62--61-">(&gt;&gt;=)</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; (a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b <a href="#v:-62--62--61-" class="selflink">#</a></p><p class="src"><a href="#v:-62--62-">(&gt;&gt;)</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b <a href="#v:-62--62-" class="selflink">#</a></p><p class="src"><a href="#v:return">return</a> :: a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:return" class="selflink">#</a></p><p class="src"><a href="#v:fail">fail</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-String.html#t:String">String</a> -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:fail" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:Functor:7" class="instance expander" onclick="toggleSection('i:id:ReaderT:Functor:7')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Functor.html#t:Functor">Functor</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Functor.html#t:Functor">Functor</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:Functor:7" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:fmap">fmap</a> :: (a -&gt; b) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b <a href="#v:fmap" class="selflink">#</a></p><p class="src"><a href="#v:-60--36-">(&lt;$)</a> :: a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:-60--36-" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadFix:8" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadFix:8')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fix.html#t:MonadFix">MonadFix</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fix.html#t:MonadFix">MonadFix</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadFix:8" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:mfix">mfix</a> :: (a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:mfix" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadFail:9" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadFail:9')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fail.html#t:MonadFail">MonadFail</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fail.html#t:MonadFail">MonadFail</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadFail:9" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:fail">fail</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-String.html#t:String">String</a> -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:fail" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:Applicative:10" class="instance expander" onclick="toggleSection('i:id:ReaderT:Applicative:10')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Applicative.html#t:Applicative">Applicative</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Applicative.html#t:Applicative">Applicative</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:Applicative:10" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:pure">pure</a> :: a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:pure" class="selflink">#</a></p><p class="src"><a href="#v:-60--42--62-">(&lt;*&gt;)</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m (a -&gt; b) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b <a href="#v:-60--42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-42--62-">(*&gt;)</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b <a href="#v:-42--62-" class="selflink">#</a></p><p class="src"><a href="#v:-60--42-">(&lt;*)</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:-60--42-" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadZip:11" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadZip:11')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Zip.html#t:MonadZip">MonadZip</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Zip.html#t:MonadZip">MonadZip</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadZip:11" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:mzip">mzip</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m (a, b) <a href="#v:mzip" class="selflink">#</a></p><p class="src"><a href="#v:mzipWith">mzipWith</a> :: (a -&gt; b -&gt; c) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m c <a href="#v:mzipWith" class="selflink">#</a></p><p class="src"><a href="#v:munzip">munzip</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m (a, b) -&gt; (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a, <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b) <a href="#v:munzip" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadIO:12" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadIO:12')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-IO-Class.html#t:MonadIO">MonadIO</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-IO-Class.html#t:MonadIO">MonadIO</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadIO:12" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:liftIO">liftIO</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/System-IO.html#t:IO">IO</a> a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:liftIO" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:Alternative:13" class="instance expander" onclick="toggleSection('i:id:ReaderT:Alternative:13')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Applicative.html#t:Alternative">Alternative</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Applicative.html#t:Alternative">Alternative</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:Alternative:13" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:empty">empty</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:empty" class="selflink">#</a></p><p class="src"><a href="#v:-60--124--62-">(&lt;|&gt;)</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:-60--124--62-" class="selflink">#</a></p><p class="src"><a href="#v:some">some</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m [a] <a href="#v:some" class="selflink">#</a></p><p class="src"><a href="#v:many">many</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m [a] <a href="#v:many" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadPlus:14" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadPlus:14')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:MonadPlus">MonadPlus</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html#t:MonadPlus">MonadPlus</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadPlus:14" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:mzero">mzero</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:mzero" class="selflink">#</a></p><p class="src"><a href="#v:mplus">mplus</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="#v:mplus" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:ReaderT:MonadCont:15" class="instance expander" onclick="toggleSection('i:id:ReaderT:MonadCont:15')"></span> <a href="Control-Monad-Cont-Class.html#t:MonadCont">MonadCont</a> m =&gt; <a href="Control-Monad-Cont-Class.html#t:MonadCont">MonadCont</a> (<a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m)</span> <a href="src/Control-Monad-Cont-Class.html#line-115" class="link">Source</a> <a href="#t:MonadCont" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:ReaderT:MonadCont:15" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:callCC">callCC</a> :: ((a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m b) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Kind.html#t:-42-">*</a> r m a <a href="src/Control-Monad-Cont-Class.html#callCC" class="link">Source</a> <a href="#v:callCC" class="selflink">#</a></p></div></div></td></tr></table></div></div></div><div class="top"><p class="src"><a id="v:runReaderT" class="def">runReaderT</a> :: <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r m a -&gt; r -&gt; m a <a href="#v:runReaderT" class="selflink">#</a></p></div><div class="top"><p class="src"><a id="v:mapReaderT" class="def">mapReaderT</a> :: (m a -&gt; n b) -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r m a -&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k1 r n b <a href="#v:mapReaderT" class="selflink">#</a></p><div class="doc"><p>Transform the computation inside a <code>ReaderT</code>.</p><ul><li><pre><code><a href="Control-Monad-Reader.html#v:runReaderT">runReaderT</a></code> (<code><a href="Control-Monad-Reader.html#v:mapReaderT">mapReaderT</a></code> f m) = f . <code><a href="Control-Monad-Reader.html#v:runReaderT">runReaderT</a></code> m</pre></li></ul></div></div><div class="top"><p class="src"><a id="v:withReaderT" class="def">withReaderT</a> <a href="#v:withReaderT" class="selflink">#</a></p><div class="subs arguments"><p class="caption">Arguments</p><table><tr><td class="src">:: (r' -&gt; r)</td><td class="doc"><p>The function to modify the environment.</p></td></tr><tr><td class="src">-&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r m a</td><td class="doc"><p>Computation to run in the modified environment.</p></td></tr><tr><td class="src">-&gt; <a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a> k r' m a</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="doc"><p>Execute a computation in a modified environment
 (a more general version of <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/transformers-0.5.2.0/Control-Monad-Trans-Reader.html#v:local">local</a></code>).</p><ul><li><pre><code><a href="Control-Monad-Reader.html#v:runReaderT">runReaderT</a></code> (<code><a href="Control-Monad-Reader.html#v:withReaderT">withReaderT</a></code> f m) = <code><a href="Control-Monad-Reader.html#v:runReaderT">runReaderT</a></code> m . f</pre></li></ul></div></div><div class="top"><p class="src">module <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad.html">Control.Monad</a></p></div><div class="top"><p class="src">module <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fix.html">Control.Monad.Fix</a></p></div><div class="top"><p class="src">module <a href="Control-Monad-Trans.html">Control.Monad.Trans</a></p></div><h1 id="g:4">Example 1: Simple Reader Usage</h1><div class="doc"><p>In this example the <code>Reader</code> monad provides access to variable bindings.
Bindings are a <code>Map</code> of integer variables.
The variable <code>count</code> contains number of variables in the bindings.
You can see how to run a Reader monad and retrieve data from it
with <code><a href="Control-Monad-Reader.html#v:runReader">runReader</a></code>, how to access the Reader data with <code><a href="Control-Monad-Reader.html#v:ask">ask</a></code> and <code><a href="Control-Monad-Reader.html#v:asks">asks</a></code>.</p><pre> type Bindings = Map String Int;

-- Returns True if the &quot;count&quot; variable contains correct bindings size.
isCountCorrect :: Bindings -&gt; Bool
isCountCorrect bindings = runReader calc_isCountCorrect bindings

-- The Reader monad, which implements this complicated check.
calc_isCountCorrect :: Reader Bindings Bool
calc_isCountCorrect = do
    count &lt;- asks (lookupVar &quot;count&quot;)
    bindings &lt;- ask
    return (count == (Map.size bindings))

-- The selector function to  use with 'asks'.
-- Returns value of the variable with specified name.
lookupVar :: String -&gt; Bindings -&gt; Int
lookupVar name bindings = fromJust (Map.lookup name bindings)

sampleBindings = Map.fromList [(&quot;count&quot;,3), (&quot;1&quot;,1), (&quot;b&quot;,2)]

main = do
    putStr $ &quot;Count is correct for bindings &quot; ++ (show sampleBindings) ++ &quot;: &quot;;
    putStrLn $ show (isCountCorrect sampleBindings);</pre></div><h1 id="g:5">Example 2: Modifying Reader Content With <code>local</code></h1><div class="doc"><p>Shows how to modify Reader content with <code><a href="Control-Monad-Reader.html#v:local">local</a></code>.</p><pre>calculateContentLen :: Reader String Int
calculateContentLen = do
    content &lt;- ask
    return (length content);

-- Calls calculateContentLen after adding a prefix to the Reader content.
calculateModifiedContentLen :: Reader String Int
calculateModifiedContentLen = local (&quot;Prefix &quot; ++) calculateContentLen

main = do
    let s = &quot;12345&quot;;
    let modifiedLen = runReader calculateModifiedContentLen s
    let len = runReader calculateContentLen s
    putStrLn $ &quot;Modified 's' length: &quot; ++ (show modifiedLen)
    putStrLn $ &quot;Original 's' length: &quot; ++ (show len)</pre></div><h1 id="g:6">Example 3: <code>ReaderT</code> Monad Transformer</h1><div class="doc"><p>Now you are thinking: 'Wow, what a great monad! I wish I could use
Reader functionality in MyFavoriteComplexMonad!'. Don't worry.
This can be easy done with the <code><a href="Control-Monad-Reader.html#t:ReaderT">ReaderT</a></code> monad transformer.
This example shows how to combine <code>ReaderT</code> with the IO monad.</p><pre>-- The Reader/IO combined monad, where Reader stores a string.
printReaderContent :: ReaderT String IO ()
printReaderContent = do
    content &lt;- ask
    liftIO $ putStrLn (&quot;The Reader Content: &quot; ++ content)

main = do
    runReaderT printReaderContent &quot;Some Content&quot;</pre></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.17.2</p></div></body></html>