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<pre><a name="line-1"></a><span class='hs-comment'>-- |</span>
<a name="line-2"></a><span class='hs-comment'>-- Module : Control.Applicative.Lift</span>
<a name="line-3"></a><span class='hs-comment'>-- Copyright : (c) Ross Paterson 2010</span>
<a name="line-4"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-5"></a><span class='hs-comment'>--</span>
<a name="line-6"></a><span class='hs-comment'>-- Maintainer : ross@soi.city.ac.uk</span>
<a name="line-7"></a><span class='hs-comment'>-- Stability : experimental</span>
<a name="line-8"></a><span class='hs-comment'>-- Portability : portable</span>
<a name="line-9"></a><span class='hs-comment'>--</span>
<a name="line-10"></a><span class='hs-comment'>-- Adding a new kind of pure computation to an applicative functor.</span>
<a name="line-11"></a>
<a name="line-12"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-conid'>Lift</span> <span class='hs-layout'>(</span>
<a name="line-13"></a> <span class='hs-conid'>Lift</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>unLift</span><span class='hs-layout'>,</span>
<a name="line-14"></a> <span class='hs-comment'>-- * Collecting errors</span>
<a name="line-15"></a> <span class='hs-conid'>Errors</span><span class='hs-layout'>,</span> <span class='hs-varid'>failure</span>
<a name="line-16"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-17"></a>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Foldable</span><span class='hs-layout'>(</span><span class='hs-varid'>foldMap</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-20"></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'>Constant</span>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span> <span class='hs-layout'>(</span><span class='hs-conid'>Monoid</span><span class='hs-layout'>(</span><span class='hs-varid'>mappend</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span><span class='hs-layout'>(</span><span class='hs-varid'>traverse</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-23"></a>
<a name="line-24"></a><a name="Lift"></a><span class='hs-comment'>-- | Applicative functor formed by adding pure computations to a given</span>
<a name="line-25"></a><a name="Lift"></a><span class='hs-comment'>-- applicative functor.</span>
<a name="line-26"></a><a name="Lift"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="instance%20Functor%20(Lift%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-29"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-30"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Other</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="instance%20Foldable%20(Lift%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Foldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-33"></a> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span>
<a name="line-34"></a> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Other</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span>
<a name="line-35"></a>
<a name="line-36"></a><a name="instance%20Traversable%20(Lift%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Traversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-37"></a> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span>
<a name="line-38"></a> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Other</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-varop'><$></span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="instance%20Applicative%20(Lift%20f)"></a><span class='hs-comment'>-- | A combination is 'Pure' only if both parts are.</span>
<a name="line-41"></a><a name="instance%20Applicative%20(Lift%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Applicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-42"></a> <span class='hs-varid'>pure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span>
<a name="line-43"></a> <span class='hs-conid'>Pure</span> <span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-44"></a> <span class='hs-conid'>Pure</span> <span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-conid'>Other</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'><$></span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-45"></a> <span class='hs-conid'>Other</span> <span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>$</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-46"></a> <span class='hs-conid'>Other</span> <span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-conid'>Other</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="instance%20Alternative%20(Lift%20f)"></a><span class='hs-comment'>-- | A combination is 'Pure' only either part is.</span>
<a name="line-49"></a><a name="instance%20Alternative%20(Lift%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Alternative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Alternative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-50"></a> <span class='hs-varid'>empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-varid'>empty</span>
<a name="line-51"></a> <span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span> <span class='hs-varop'><|></span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span>
<a name="line-52"></a> <span class='hs-conid'>Other</span> <span class='hs-keyword'>_</span> <span class='hs-varop'><|></span> <span class='hs-conid'>Pure</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-varid'>y</span>
<a name="line-53"></a> <span class='hs-conid'>Other</span> <span class='hs-varid'>x</span> <span class='hs-varop'><|></span> <span class='hs-conid'>Other</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-varop'><|></span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-54"></a>
<a name="line-55"></a><a name="unLift"></a><span class='hs-comment'>-- | Projection to the other functor.</span>
<a name="line-56"></a><span class='hs-definition'>unLift</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-57"></a><span class='hs-definition'>unLift</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>x</span>
<a name="line-58"></a><span class='hs-definition'>unLift</span> <span class='hs-layout'>(</span><span class='hs-conid'>Other</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e</span>
<a name="line-59"></a>
<a name="line-60"></a><a name="Errors"></a><span class='hs-comment'>-- | An applicative functor that collects a monoid (e.g. lists) of errors.</span>
<a name="line-61"></a><a name="Errors"></a><span class='hs-comment'>-- A sequence of computations fails if any of its components do, but</span>
<a name="line-62"></a><a name="Errors"></a><span class='hs-comment'>-- unlike monads made with 'ErrorT' from "Control.Monad.Trans.Error",</span>
<a name="line-63"></a><a name="Errors"></a><span class='hs-comment'>-- these computations continue after an error, collecting all the errors.</span>
<a name="line-64"></a><a name="Errors"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Errors</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lift</span> <span class='hs-layout'>(</span><span class='hs-conid'>Constant</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="failure"></a><span class='hs-comment'>-- | Report an error.</span>
<a name="line-67"></a><span class='hs-definition'>failure</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Errors</span> <span class='hs-varid'>e</span> <span class='hs-varid'>a</span>
<a name="line-68"></a><span class='hs-definition'>failure</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Other</span> <span class='hs-layout'>(</span><span class='hs-conid'>Constant</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
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