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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'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE UndecidableInstances #-}</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-6"></a><span class='hs-comment'>{-# LANGUAGE Rank2Types #-}</span>
<a name="line-7"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ >= 707</span>
<a name="line-8"></a><span class='hs-comment'>{-# LANGUAGE DeriveDataTypeable #-}</span>
<a name="line-9"></a><span class='hs-cpp'>#endif</span>
<a name="line-10"></a>
<a name="line-11"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-12"></a><span class='hs-comment'>-- |</span>
<a name="line-13"></a><span class='hs-comment'>-- Module : Control.Comonad.Trans.Cofree</span>
<a name="line-14"></a><span class='hs-comment'>-- Copyright : (C) 2008-2013 Edward Kmett</span>
<a name="line-15"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-16"></a><span class='hs-comment'>--</span>
<a name="line-17"></a><span class='hs-comment'>-- Maintainer : Edward Kmett <ekmett@gmail.com></span>
<a name="line-18"></a><span class='hs-comment'>-- Stability : provisional</span>
<a name="line-19"></a><span class='hs-comment'>-- Portability : MPTCs, fundeps</span>
<a name="line-20"></a><span class='hs-comment'>--</span>
<a name="line-21"></a><span class='hs-comment'>-- The cofree comonad transformer</span>
<a name="line-22"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-23"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Cofree</span>
<a name="line-24"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>CofreeT</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-25"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Cofree</span><span class='hs-layout'>,</span> <span class='hs-varid'>cofree</span><span class='hs-layout'>,</span> <span class='hs-varid'>runCofree</span>
<a name="line-26"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>CofreeF</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-27"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>ComonadCofree</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-28"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>headF</span>
<a name="line-29"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>tailF</span>
<a name="line-30"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>transCofreeT</span>
<a name="line-31"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>coiterT</span>
<a name="line-32"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-33"></a>
<a name="line-34"></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-35"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span>
<a name="line-36"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-37"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Cofree</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-38"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Env</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-39"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Hoist</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-40"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Category</span>
<a name="line-41"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span>
<a name="line-42"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifoldable</span>
<a name="line-43"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bitraversable</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'>Foldable</span>
<a name="line-45"></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>
<a name="line-46"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span>
<a name="line-47"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span>
<a name="line-48"></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-layout'>(</span><span class='hs-varid'>liftM</span><span class='hs-layout'>)</span>
<a name="line-49"></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'>Trans</span>
<a name="line-50"></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'>Zip</span>
<a name="line-51"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>id</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varop'>.</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-52"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Data</span>
<a name="line-53"></a>
<a name="line-54"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>5</span> <span class='hs-conop'>:<</span>
<a name="line-55"></a>
<a name="line-56"></a><a name="CofreeF"></a><span class='hs-comment'>-- | This is the base functor of the cofree comonad transformer.</span>
<a name="line-57"></a><a name="CofreeF"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span>
<a name="line-58"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Ord</span><span class='hs-layout'>,</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span>
<a name="line-59"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ >= 707</span>
<a name="line-60"></a> <span class='hs-layout'>,</span><span class='hs-conid'>Typeable</span>
<a name="line-61"></a><span class='hs-cpp'>#endif</span>
<a name="line-62"></a> <span class='hs-layout'>)</span>
<a name="line-63"></a>
<a name="line-64"></a><a name="headF"></a><span class='hs-comment'>-- | Extract the head of the base functor</span>
<a name="line-65"></a><span class='hs-definition'>headF</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-66"></a><span class='hs-definition'>headF</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-67"></a>
<a name="line-68"></a><a name="tailF"></a><span class='hs-comment'>-- | Extract the tails of the base functor</span>
<a name="line-69"></a><span class='hs-definition'>tailF</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span>
<a name="line-70"></a><span class='hs-definition'>tailF</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>as</span>
<a name="line-71"></a>
<a name="line-72"></a><a name="instance%20Functor%20(CofreeF%20f%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-73"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>as</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="instance%20Foldable%20(CofreeF%20f%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Foldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-76"></a> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</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-keyword'>as</span>
<a name="line-77"></a>
<a name="line-78"></a><a name="instance%20Traversable%20(CofreeF%20f%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Traversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-79"></a> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>as</span>
<a name="line-80"></a>
<a name="line-81"></a><a name="instance%20Bifunctor%20(CofreeF%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifunctor</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-82"></a> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>g</span> <span class='hs-keyword'>as</span>
<a name="line-83"></a>
<a name="line-84"></a><a name="instance%20Bifoldable%20(CofreeF%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifoldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-85"></a> <span class='hs-varid'>bifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>g</span> <span class='hs-keyword'>as</span>
<a name="line-86"></a>
<a name="line-87"></a><a name="instance%20Bitraversable%20(CofreeF%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bitraversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-88"></a> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conop'>:<</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'><*></span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>g</span> <span class='hs-keyword'>as</span>
<a name="line-89"></a>
<a name="line-90"></a><a name="transCofreeF"></a><span class='hs-definition'>transCofreeF</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>x</span><span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-91"></a><span class='hs-definition'>transCofreeF</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>fb</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>t</span> <span class='hs-varid'>fb</span>
<a name="line-92"></a><span class='hs-comment'>{-# INLINE transCofreeF #-}</span>
<a name="line-93"></a>
<a name="line-94"></a><a name="CofreeT"></a><span class='hs-comment'>-- | This is a cofree comonad of some functor @f@, with a comonad @w@ threaded through it at each level.</span>
<a name="line-95"></a><a name="CofreeT"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-layout'>{</span> <span class='hs-varid'>runCofreeT</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-96"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ >= 707</span>
<a name="line-97"></a> <span class='hs-keyword'>deriving</span> <span class='hs-conid'>Typeable</span>
<a name="line-98"></a><span class='hs-cpp'>#endif</span>
<a name="line-99"></a>
<a name="line-100"></a><a name="Cofree"></a><span class='hs-comment'>-- | The cofree `Comonad` of a functor @f@.</span>
<a name="line-101"></a><a name="Cofree"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Cofree</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-conid'>Identity</span>
<a name="line-102"></a>
<a name="line-103"></a><a name="cofree"></a><span class='hs-comment'>{- |
<a name="line-104"></a>Wrap another layer around a cofree comonad value.
<a name="line-105"></a>
<a name="line-106"></a>@cofree@ is a right inverse of `runCofree`.
<a name="line-107"></a>
<a name="line-108"></a>@
<a name="line-109"></a>runCofree . cofree == id
<a name="line-110"></a>@
<a name="line-111"></a>-}</span>
<a name="line-112"></a><span class='hs-definition'>cofree</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Cofree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Cofree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-113"></a><span class='hs-definition'>cofree</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Identity</span>
<a name="line-114"></a><span class='hs-comment'>{-# INLINE cofree #-}</span>
<a name="line-115"></a>
<a name="line-116"></a>
<a name="line-117"></a><a name="runCofree"></a><span class='hs-comment'>{- |
<a name="line-118"></a>Unpeel the first layer off a cofree comonad value.
<a name="line-119"></a>
<a name="line-120"></a>@runCofree@ is a right inverse of `cofree`.
<a name="line-121"></a>
<a name="line-122"></a>@
<a name="line-123"></a>cofree . runCofree == id
<a name="line-124"></a>@
<a name="line-125"></a>-}</span>
<a name="line-126"></a><span class='hs-definition'>runCofree</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Cofree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Cofree</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-127"></a><span class='hs-definition'>runCofree</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-128"></a><span class='hs-comment'>{-# INLINE runCofree #-}</span>
<a name="line-129"></a>
<a name="line-130"></a><a name="instance%20Functor%20(CofreeT%20f%20w)"></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'>w</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'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-131"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>bimap</span> <span class='hs-varid'>f</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-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-132"></a>
<a name="line-133"></a><a name="instance%20Comonad%20(CofreeT%20f%20w)"></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'>Comonad</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Comonad</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-134"></a> <span class='hs-varid'>extract</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>headF</span> <span class='hs-varop'>.</span> <span class='hs-varid'>extract</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-135"></a> <span class='hs-varid'>extend</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>extend</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>w</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-conop'>:<</span> <span class='hs-layout'>(</span><span class='hs-varid'>extend</span> <span class='hs-varid'>f</span> <span class='hs-varop'><$></span> <span class='hs-varid'>tailF</span> <span class='hs-layout'>(</span><span class='hs-varid'>extract</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-136"></a>
<a name="line-137"></a><a name="instance%20Foldable%20(CofreeT%20f%20w)"></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-conid'>Foldable</span> <span class='hs-varid'>w</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'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-138"></a> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>bifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-139"></a>
<a name="line-140"></a><a name="instance%20Traversable%20(CofreeT%20f%20w)"></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-conid'>Traversable</span> <span class='hs-varid'>w</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'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-141"></a> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-142"></a>
<a name="line-143"></a><a name="instance%20ComonadTrans%20(CofreeT%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ComonadTrans</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-144"></a> <span class='hs-varid'>lower</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>headF</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-145"></a>
<a name="line-146"></a><a name="instance%20ComonadCofree%20f%20(CofreeT%20f%20w)"></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'>Comonad</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ComonadCofree</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-147"></a> <span class='hs-varid'>unwrap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tailF</span> <span class='hs-varop'>.</span> <span class='hs-varid'>extract</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-148"></a>
<a name="line-149"></a><a name="instance%20ComonadEnv%20e%20(CofreeT%20f%20w)"></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'>ComonadEnv</span> <span class='hs-varid'>e</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ComonadEnv</span> <span class='hs-varid'>e</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-150"></a> <span class='hs-varid'>ask</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ask</span> <span class='hs-varop'>.</span> <span class='hs-varid'>lower</span>
<a name="line-151"></a> <span class='hs-comment'>{-# INLINE ask #-}</span>
<a name="line-152"></a>
<a name="line-153"></a><a name="instance%20ComonadHoist%20(CofreeT%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ComonadHoist</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-154"></a> <span class='hs-varid'>cohoist</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>second</span> <span class='hs-layout'>(</span><span class='hs-varid'>cohoist</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-155"></a>
<a name="line-156"></a><a name="instance%20Show%20(CofreeT%20f%20w%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Show</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-157"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>d</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showParen</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span> <span class='hs-varop'>></span> <span class='hs-num'>10</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span>
<a name="line-158"></a> <span class='hs-varid'>showString</span> <span class='hs-str'>"CofreeT "</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showsPrec</span> <span class='hs-num'>11</span> <span class='hs-varid'>w</span>
<a name="line-159"></a>
<a name="line-160"></a><a name="instance%20Read%20(CofreeT%20f%20w%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Read</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Read</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-161"></a> <span class='hs-varid'>readsPrec</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>readParen</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span> <span class='hs-varop'>></span> <span class='hs-num'>10</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>r</span> <span class='hs-keyglyph'>-></span>
<a name="line-162"></a> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-str'>"CofreeT"</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>lex</span> <span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>readsPrec</span> <span class='hs-num'>11</span> <span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span>
<a name="line-163"></a>
<a name="line-164"></a><a name="instance%20Eq%20(CofreeT%20f%20w%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Eq</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-165"></a> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b</span>
<a name="line-166"></a>
<a name="line-167"></a><a name="instance%20Ord%20(CofreeT%20f%20w%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Ord</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-168"></a> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-169"></a>
<a name="line-170"></a><a name="instance%20Monad%20(CofreeT%20f%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Alternative</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Monad</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-171"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ < 710</span>
<a name="line-172"></a> <span class='hs-varid'>return</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>return</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:<</span> <span class='hs-varid'>empty</span><span class='hs-layout'>)</span>
<a name="line-173"></a> <span class='hs-comment'>{-# INLINE return #-}</span>
<a name="line-174"></a><span class='hs-cpp'>#endif</span>
<a name="line-175"></a> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>cx</span> <span class='hs-varop'>>>=</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-176"></a> <span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>cx</span>
<a name="line-177"></a> <span class='hs-varid'>b</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>runCofreeT</span> <span class='hs-varop'>$</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-178"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>b</span> <span class='hs-conop'>:<</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'><|></span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>>>=</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-179"></a>
<a name="line-180"></a>
<a name="line-181"></a><a name="instance%20Applicative%20(CofreeT%20f%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Alternative</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>w</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'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-182"></a> <span class='hs-varid'>pure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>pure</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:<</span> <span class='hs-varid'>empty</span><span class='hs-layout'>)</span>
<a name="line-183"></a> <span class='hs-comment'>{-# INLINE pure #-}</span>
<a name="line-184"></a> <span class='hs-varid'>wf</span> <span class='hs-varop'><*></span> <span class='hs-varid'>wa</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>$</span> <span class='hs-varid'>go</span> <span class='hs-varop'><$></span> <span class='hs-varid'>runCofreeT</span> <span class='hs-varid'>wf</span> <span class='hs-varop'><*></span> <span class='hs-varid'>runCofreeT</span> <span class='hs-varid'>wa</span> <span class='hs-keyword'>where</span>
<a name="line-185"></a> <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</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'>a</span> <span class='hs-keyword'>of</span>
<a name="line-186"></a> <span class='hs-varid'>b</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-conop'>:<</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'><|></span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'><*></span> <span class='hs-varid'>wa</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-187"></a> <span class='hs-comment'>{-# INLINE (<*>) #-}</span>
<a name="line-188"></a>
<a name="line-189"></a><a name="instance%20MonadTrans%20(CofreeT%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'>MonadTrans</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-190"></a> <span class='hs-varid'>lift</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>liftM</span> <span class='hs-layout'>(</span><span class='hs-conop'>:<</span> <span class='hs-varid'>empty</span><span class='hs-layout'>)</span>
<a name="line-191"></a>
<a name="line-192"></a><a name="instance%20MonadZip%20(CofreeT%20f%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Alternative</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>MonadZip</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>MonadZip</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>MonadZip</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-193"></a> <span class='hs-varid'>mzip</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>ma</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>mb</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-194"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>fa</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>fb</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mzip</span> <span class='hs-varid'>ma</span> <span class='hs-varid'>mb</span>
<a name="line-195"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</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-conop'>:<</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>mzip</span> <span class='hs-varop'><$></span> <span class='hs-varid'>mzip</span> <span class='hs-varid'>fa</span> <span class='hs-varid'>fb</span><span class='hs-layout'>)</span>
<a name="line-196"></a>
<a name="line-197"></a><a name="transCofreeT"></a><span class='hs-comment'>-- | Lift a natural transformation from @f@ to @g@ into a comonad homomorphism from @'CofreeT' f w@ to @'CofreeT' g w@</span>
<a name="line-198"></a><span class='hs-definition'>transCofreeT</span> <span class='hs-keyglyph'>::</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-conid'>Comonad</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>x</span><span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span>
<a name="line-199"></a><span class='hs-definition'>transCofreeT</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>liftW</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>transCofreeT</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>transCofreeF</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runCofreeT</span>
<a name="line-200"></a>
<a name="line-201"></a><a name="coiterT"></a><span class='hs-comment'>-- | Unfold a @CofreeT@ comonad transformer from a coalgebra and an initial comonad.</span>
<a name="line-202"></a><span class='hs-definition'>coiterT</span> <span class='hs-keyglyph'>::</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'>Comonad</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span>
<a name="line-203"></a><span class='hs-definition'>coiterT</span> <span class='hs-varid'>psi</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>.</span> <span class='hs-varid'>extend</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>w</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>extract</span> <span class='hs-varid'>w</span> <span class='hs-conop'>:<</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>coiterT</span> <span class='hs-varid'>psi</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>psi</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-204"></a>
<a name="line-205"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ < 707</span>
<a name="line-206"></a>
<a name="line-207"></a><a name="instance%20Typeable2%20(CofreeF%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Typeable1</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Typeable2</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-208"></a> <span class='hs-varid'>typeOf2</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkTyConApp</span> <span class='hs-varid'>cofreeFTyCon</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>typeOf1</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-209"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-210"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-211"></a>
<a name="line-212"></a><a name="instance%20Typeable1%20(CofreeT%20f%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Typeable1</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable1</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Typeable1</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-213"></a> <span class='hs-varid'>typeOf1</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkTyConApp</span> <span class='hs-varid'>cofreeTTyCon</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>typeOf1</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>typeOf1</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-214"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</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-215"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-216"></a> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span>
<a name="line-217"></a> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-218"></a>
<a name="line-219"></a><a name="cofreeFTyCon"></a><span class='hs-definition'>cofreeFTyCon</span><span class='hs-layout'>,</span> <span class='hs-varid'>cofreeTTyCon</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TyCon</span>
<a name="line-220"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ < 704</span>
<a name="line-221"></a><a name="cofreeTTyCon"></a><span class='hs-definition'>cofreeTTyCon</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkTyCon</span> <span class='hs-str'>"Control.Comonad.Trans.Cofree.CofreeT"</span>
<a name="line-222"></a><span class='hs-definition'>cofreeFTyCon</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkTyCon</span> <span class='hs-str'>"Control.Comonad.Trans.Cofree.CofreeF"</span>
<a name="line-223"></a><span class='hs-cpp'>#else</span>
<a name="line-224"></a><span class='hs-definition'>cofreeTTyCon</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkTyCon3</span> <span class='hs-str'>"free"</span> <span class='hs-str'>"Control.Comonad.Trans.Cofree"</span> <span class='hs-str'>"CofreeT"</span>
<a name="line-225"></a><span class='hs-definition'>cofreeFTyCon</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkTyCon3</span> <span class='hs-str'>"free"</span> <span class='hs-str'>"Control.Comonad.Trans.Cofree"</span> <span class='hs-str'>"CofreeF"</span>
<a name="line-226"></a><span class='hs-cpp'>#endif</span>
<a name="line-227"></a><span class='hs-comment'>{-# NOINLINE cofreeTTyCon #-}</span>
<a name="line-228"></a><span class='hs-comment'>{-# NOINLINE cofreeFTyCon #-}</span>
<a name="line-229"></a>
<a name="line-230"></a><span class='hs-cpp'>#else</span>
<a name="line-231"></a><span class='hs-cpp'>#define Typeable1 Typeable</span>
<a name="line-232"></a><span class='hs-cpp'>#endif</span>
<a name="line-233"></a>
<a name="line-234"></a><a name="instance%20Data%20(CofreeF%20f%20a%20b)"></a><span class='hs-keyword'>instance</span>
<a name="line-235"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Typeable1</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>b</span>
<a name="line-236"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>b</span>
<a name="line-237"></a> <span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Data</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-238"></a> <span class='hs-varid'>gfoldl</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:<</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>z</span> <span class='hs-layout'>(</span><span class='hs-conop'>:<</span><span class='hs-layout'>)</span> <span class='hs-varop'>`f`</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`f`</span> <span class='hs-keyword'>as</span>
<a name="line-239"></a> <span class='hs-varid'>toConstr</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cofreeFConstr</span>
<a name="line-240"></a> <span class='hs-varid'>gunfold</span> <span class='hs-varid'>k</span> <span class='hs-varid'>z</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>constrIndex</span> <span class='hs-varid'>c</span> <span class='hs-keyword'>of</span>
<a name="line-241"></a> <span class='hs-num'>1</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>z</span> <span class='hs-layout'>(</span><span class='hs-conop'>:<</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-242"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>error</span> <span class='hs-str'>"gunfold"</span>
<a name="line-243"></a> <span class='hs-varid'>dataTypeOf</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cofreeFDataType</span>
<a name="line-244"></a> <span class='hs-varid'>dataCast1</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gcast1</span> <span class='hs-varid'>f</span>
<a name="line-245"></a>
<a name="line-246"></a><a name="instance%20Data%20(CofreeT%20f%20w%20a)"></a><span class='hs-keyword'>instance</span>
<a name="line-247"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Typeable1</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable1</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span>
<a name="line-248"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeF</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-249"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>a</span>
<a name="line-250"></a> <span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Data</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-251"></a> <span class='hs-varid'>gfoldl</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeT</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>z</span> <span class='hs-conid'>CofreeT</span> <span class='hs-varop'>`f`</span> <span class='hs-varid'>w</span>
<a name="line-252"></a> <span class='hs-varid'>toConstr</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cofreeTConstr</span>
<a name="line-253"></a> <span class='hs-varid'>gunfold</span> <span class='hs-varid'>k</span> <span class='hs-varid'>z</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>constrIndex</span> <span class='hs-varid'>c</span> <span class='hs-keyword'>of</span>
<a name="line-254"></a> <span class='hs-num'>1</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>z</span> <span class='hs-conid'>CofreeT</span><span class='hs-layout'>)</span>
<a name="line-255"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>error</span> <span class='hs-str'>"gunfold"</span>
<a name="line-256"></a> <span class='hs-varid'>dataTypeOf</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cofreeTDataType</span>
<a name="line-257"></a> <span class='hs-varid'>dataCast1</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gcast1</span> <span class='hs-varid'>f</span>
<a name="line-258"></a>
<a name="line-259"></a><a name="cofreeFConstr"></a><span class='hs-definition'>cofreeFConstr</span><span class='hs-layout'>,</span> <span class='hs-varid'>cofreeTConstr</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Constr</span>
<a name="line-260"></a><span class='hs-definition'>cofreeFConstr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkConstr</span> <span class='hs-varid'>cofreeFDataType</span> <span class='hs-str'>":<"</span> <span class='hs-conid'>[]</span> <span class='hs-conid'>Infix</span>
<a name="line-261"></a><a name="cofreeTConstr"></a><span class='hs-definition'>cofreeTConstr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkConstr</span> <span class='hs-varid'>cofreeTDataType</span> <span class='hs-str'>"CofreeT"</span> <span class='hs-conid'>[]</span> <span class='hs-conid'>Prefix</span>
<a name="line-262"></a><span class='hs-comment'>{-# NOINLINE cofreeFConstr #-}</span>
<a name="line-263"></a><span class='hs-comment'>{-# NOINLINE cofreeTConstr #-}</span>
<a name="line-264"></a>
<a name="line-265"></a><a name="cofreeFDataType"></a><span class='hs-definition'>cofreeFDataType</span><span class='hs-layout'>,</span> <span class='hs-varid'>cofreeTDataType</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>DataType</span>
<a name="line-266"></a><span class='hs-definition'>cofreeFDataType</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkDataType</span> <span class='hs-str'>"Control.Comonad.Trans.Cofree.CofreeF"</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>cofreeFConstr</span><span class='hs-keyglyph'>]</span>
<a name="line-267"></a><a name="cofreeTDataType"></a><span class='hs-definition'>cofreeTDataType</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkDataType</span> <span class='hs-str'>"Control.Comonad.Trans.Cofree.CofreeT"</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>cofreeTConstr</span><span class='hs-keyglyph'>]</span>
<a name="line-268"></a><span class='hs-comment'>{-# NOINLINE cofreeFDataType #-}</span>
<a name="line-269"></a><span class='hs-comment'>{-# NOINLINE cofreeTDataType #-}</span>
<a name="line-270"></a>
<a name="line-271"></a><span class='hs-comment'>-- lowerF :: (Functor f, Comonad w) => CofreeT f w a -> f a</span>
<a name="line-272"></a><span class='hs-comment'>-- lowerF = fmap extract . unwrap</span>
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