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<title>Control/Monad/Identity.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{- |
<a name="line-2"></a>Module      :  Control.Monad.Identity
<a name="line-3"></a>Copyright   :  (c) Andy Gill 2001,
<a name="line-4"></a>               (c) Oregon Graduate Institute of Science and Technology 2001,
<a name="line-5"></a>               (c) Jeff Newbern 2003-2006,
<a name="line-6"></a>               (c) Andriy Palamarchuk 2006
<a name="line-7"></a>License     :  BSD-style (see the file LICENSE)
<a name="line-8"></a>
<a name="line-9"></a>Maintainer  :  libraries@haskell.org
<a name="line-10"></a>Stability   :  experimental
<a name="line-11"></a>Portability :  portable
<a name="line-12"></a>
<a name="line-13"></a>[Computation type:] Simple function application.
<a name="line-14"></a>
<a name="line-15"></a>[Binding strategy:] The bound function is applied to the input value.
<a name="line-16"></a>@'Identity' x &gt;&gt;= f == 'Identity' (f x)@
<a name="line-17"></a>
<a name="line-18"></a>[Useful for:] Monads can be derived from monad transformers applied to the
<a name="line-19"></a>'Identity' monad.
<a name="line-20"></a>
<a name="line-21"></a>[Zero and plus:] None.
<a name="line-22"></a>
<a name="line-23"></a>[Example type:] @'Identity' a@
<a name="line-24"></a>
<a name="line-25"></a>The @Identity@ monad is a monad that does not embody any computational strategy.
<a name="line-26"></a>It simply applies the bound function to its input without any modification.
<a name="line-27"></a>Computationally, there is no reason to use the @Identity@ monad
<a name="line-28"></a>instead of the much simpler act of simply applying functions to their arguments.
<a name="line-29"></a>The purpose of the @Identity@ monad is its fundamental role in the theory
<a name="line-30"></a>of monad transformers.
<a name="line-31"></a>Any monad transformer applied to the @Identity@ monad yields a non-transformer
<a name="line-32"></a>version of that monad.
<a name="line-33"></a>-}</span>
<a name="line-34"></a>
<a name="line-35"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Identity</span> <span class='hs-layout'>(</span>
<a name="line-36"></a>    <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Identity</span><span class='hs-layout'>,</span>
<a name="line-37"></a>
<a name="line-38"></a>    <span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-layout'>,</span>
<a name="line-39"></a>    <span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Fix</span><span class='hs-layout'>,</span>
<a name="line-40"></a>   <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-41"></a>
<a name="line-42"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-43"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Fix</span>
<a name="line-44"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Identity</span>
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