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<title>src/Data/Functor/Contravariant/Compose.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module : Data.Functor.Contravariant.Compose</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright : (c) Edward Kmett 2010</span>
<a name="line-5"></a><span class='hs-comment'>-- License : BSD3</span>
<a name="line-6"></a><span class='hs-comment'>--</span>
<a name="line-7"></a><span class='hs-comment'>-- Maintainer : ekmett@gmail.com</span>
<a name="line-8"></a><span class='hs-comment'>-- Stability : experimental</span>
<a name="line-9"></a><span class='hs-comment'>-- Portability : portable</span>
<a name="line-10"></a><span class='hs-comment'>--</span>
<a name="line-11"></a><span class='hs-comment'>-- Composition of contravariant functors.</span>
<a name="line-12"></a>
<a name="line-13"></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'>Contravariant</span><span class='hs-varop'>.</span><span class='hs-conid'>Compose</span>
<a name="line-14"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Compose</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-15"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>ComposeFC</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-16"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>ComposeCF</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-17"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-18"></a>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span>
<a name="line-20"></a>
<a name="line-21"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ < 710</span>
<a name="line-22"></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-23"></a><span class='hs-cpp'>#endif</span>
<a name="line-24"></a>
<a name="line-25"></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'>Contravariant</span>
<a name="line-26"></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'>Contravariant</span><span class='hs-varop'>.</span><span class='hs-conid'>Divisible</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="Compose"></a><span class='hs-comment'>-- | Composition of two contravariant functors</span>
<a name="line-29"></a><a name="Compose"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Compose</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Compose</span> <span class='hs-layout'>{</span> <span class='hs-varid'>getCompose</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-30"></a>
<a name="line-31"></a><a name="instance%20Functor%20(Compose%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Contravariant</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Contravariant</span> <span class='hs-varid'>g</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'>Compose</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-32"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Compose</span> <span class='hs-layout'>(</span><span class='hs-varid'>contramap</span> <span class='hs-layout'>(</span><span class='hs-varid'>contramap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-33"></a>
<a name="line-34"></a><a name="ComposeFC"></a><span class='hs-comment'>-- | Composition of covariant and contravariant functors</span>
<a name="line-35"></a><a name="ComposeFC"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-layout'>{</span> <span class='hs-varid'>getComposeFC</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="instance%20Contravariant%20(ComposeFC%20f%20g)"></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-conid'>Contravariant</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Contravariant</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-38"></a> <span class='hs-varid'>contramap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>contramap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="instance%20Functor%20(ComposeFC%20f%20g)"></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-conid'>Functor</span> <span class='hs-varid'>g</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'>ComposeFC</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-41"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-42"></a>
<a name="line-43"></a><a name="instance%20Divisible%20(ComposeFC%20f%20g)"></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-conid'>Divisible</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Divisible</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-44"></a> <span class='hs-varid'>conquer</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-varop'>$</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>conquer</span>
<a name="line-45"></a> <span class='hs-varid'>divide</span> <span class='hs-varid'>abc</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>fb</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>fc</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-varop'>$</span> <span class='hs-varid'>divide</span> <span class='hs-varid'>abc</span> <span class='hs-varop'><$></span> <span class='hs-varid'>fb</span> <span class='hs-varop'><*></span> <span class='hs-varid'>fc</span>
<a name="line-46"></a>
<a name="line-47"></a><a name="instance%20Decidable%20(ComposeFC%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Decidable</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Decidable</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-48"></a> <span class='hs-varid'>lose</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-varop'>$</span> <span class='hs-varid'>pure</span> <span class='hs-layout'>(</span><span class='hs-varid'>lose</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-49"></a> <span class='hs-varid'>choose</span> <span class='hs-varid'>abc</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>fb</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeFC</span> <span class='hs-varid'>fc</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeFC</span> <span class='hs-varop'>$</span> <span class='hs-varid'>choose</span> <span class='hs-varid'>abc</span> <span class='hs-varop'><$></span> <span class='hs-varid'>fb</span> <span class='hs-varop'><*></span> <span class='hs-varid'>fc</span>
<a name="line-50"></a>
<a name="line-51"></a><a name="ComposeCF"></a><span class='hs-comment'>-- | Composition of contravariant and covariant functors</span>
<a name="line-52"></a><a name="ComposeCF"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeCF</span> <span class='hs-layout'>{</span> <span class='hs-varid'>getComposeCF</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-53"></a>
<a name="line-54"></a><a name="instance%20Contravariant%20(ComposeCF%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Contravariant</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Contravariant</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-55"></a> <span class='hs-varid'>contramap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeCF</span> <span class='hs-layout'>(</span><span class='hs-varid'>contramap</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="instance%20Functor%20(ComposeCF%20f%20g)"></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-conid'>Functor</span> <span class='hs-varid'>g</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'>ComposeCF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-58"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeCF</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-59"></a>
<a name="line-60"></a><a name="instance%20Divisible%20(ComposeCF%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Divisible</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Divisible</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-61"></a> <span class='hs-varid'>conquer</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>conquer</span>
<a name="line-62"></a> <span class='hs-varid'>divide</span> <span class='hs-varid'>abc</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>fb</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ComposeCF</span> <span class='hs-varid'>fc</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ComposeCF</span> <span class='hs-varop'>$</span> <span class='hs-varid'>divide</span> <span class='hs-layout'>(</span><span class='hs-varid'>funzip</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>abc</span><span class='hs-layout'>)</span> <span class='hs-varid'>fb</span> <span class='hs-varid'>fc</span>
<a name="line-63"></a>
<a name="line-64"></a><a name="funzip"></a><span class='hs-definition'>funzip</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-65"></a><span class='hs-definition'>funzip</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>&&&</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>snd</span>
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