<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html> <head> <!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ --> <title>Control/Arrow/Transformer/CoState.hs</title> <link type='text/css' rel='stylesheet' href='hscolour.css' /> </head> <body> <pre><a name="line-1"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span> <a name="line-2"></a><span class='hs-comment'>-- |</span> <a name="line-3"></a><span class='hs-comment'>-- Module : Control.Arrow.Transformer.CoState</span> <a name="line-4"></a><span class='hs-comment'>-- Copyright : (c) Ross Paterson 2003</span> <a name="line-5"></a><span class='hs-comment'>-- License : BSD-style (see the LICENSE file in the distribution)</span> <a name="line-6"></a><span class='hs-comment'>--</span> <a name="line-7"></a><span class='hs-comment'>-- Maintainer : ross@soi.city.ac.uk</span> <a name="line-8"></a><span class='hs-comment'>-- Stability : experimental</span> <a name="line-9"></a><span class='hs-comment'>-- Portability : non-portable (multi-parameter type classes)</span> <a name="line-10"></a><span class='hs-comment'>--</span> <a name="line-11"></a><span class='hs-comment'>-- Transformation of state readers.</span> <a name="line-12"></a><span class='hs-comment'>--</span> <a name="line-13"></a><span class='hs-comment'>-- /TODO:/ define operations for this arrow.</span> <a name="line-14"></a> <a name="line-15"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span><span class='hs-varop'>.</span><span class='hs-conid'>Transformer</span><span class='hs-varop'>.</span><span class='hs-conid'>CoState</span><span class='hs-layout'>(</span> <a name="line-16"></a> <span class='hs-conid'>CoStateArrow</span><span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span><span class='hs-layout'>)</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'>Applicative</span> <a name="line-20"></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-21"></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-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span> <a name="line-23"></a> <a name="line-24"></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-25"></a> <a name="line-26"></a><a name="CoStateArrow"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-27"></a> <a name="line-28"></a><a name="instance%20Category%20(CoStateArrow%20s%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Category</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Category</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-29"></a> <span class='hs-varid'>id</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>id</span> <a name="line-30"></a> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <a name="line-31"></a> <a name="line-32"></a><a name="instance%20Arrow%20(CoStateArrow%20s%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arrow</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-33"></a> <span class='hs-varid'>arr</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-34"></a> <span class='hs-varid'>first</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-35"></a> <span class='hs-conid'>CoStateArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-varid'>unzipMap</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>zipMap</span><span class='hs-layout'>)</span> <a name="line-36"></a> <a name="line-37"></a><a name="zipMap"></a><span class='hs-definition'>zipMap</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></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'>s</span> <span class='hs-keyglyph'>-></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-layout'>)</span> <a name="line-38"></a><span class='hs-definition'>zipMap</span> <span class='hs-varid'>h</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fst</span> <span class='hs-varid'>h</span> <span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>snd</span> <span class='hs-varid'>h</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <a name="line-39"></a> <a name="line-40"></a><a name="unzipMap"></a><span class='hs-definition'>unzipMap</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></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-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <a name="line-41"></a><span class='hs-definition'>unzipMap</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fst</span> <span class='hs-varop'>.</span> <span class='hs-varid'>h</span><span class='hs-layout'>,</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>h</span><span class='hs-layout'>)</span> <a name="line-42"></a> <a name="line-43"></a><span class='hs-comment'>-- there is no transformer</span> <a name="line-44"></a> <a name="line-45"></a><span class='hs-comment'>-- promotions of standard classes</span> <a name="line-46"></a> <a name="line-47"></a><a name="instance%20ArrowLoop%20(CoStateArrow%20s%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowLoop</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowLoop</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-48"></a> <span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-49"></a> <span class='hs-conid'>CoStateArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-varid'>zipMap</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>unzipMap</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-50"></a> <a name="line-51"></a><a name="instance%20ArrowZero%20(CoStateArrow%20s%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowZero</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowZero</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-52"></a> <span class='hs-varid'>zeroArrow</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>zeroArrow</span> <a name="line-53"></a> <a name="line-54"></a><a name="instance%20ArrowPlus%20(CoStateArrow%20s%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-55"></a> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CoStateArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <a name="line-56"></a> <a name="line-57"></a><span class='hs-comment'>-- Other instances</span> <a name="line-58"></a> <a name="line-59"></a><a name="instance%20Functor%20(CoStateArrow%20s%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</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-60"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>f</span> <a name="line-61"></a> <a name="line-62"></a><a name="instance%20Applicative%20(CoStateArrow%20s%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Applicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</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-63"></a> <span class='hs-varid'>pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <a name="line-64"></a> <span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'>&&&</span> <span class='hs-varid'>g</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <a name="line-65"></a> <a name="line-66"></a><a name="instance%20Alternative%20(CoStateArrow%20s%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Alternative</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</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-67"></a> <span class='hs-varid'>empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zeroArrow</span> <a name="line-68"></a> <span class='hs-varid'>f</span> <span class='hs-varop'><|></span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-varid'>g</span> <a name="line-69"></a> <a name="line-70"></a><a name="instance%20Monoid%20(CoStateArrow%20s%20a%20b%20c)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Monoid</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoStateArrow</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-71"></a> <span class='hs-varid'>mempty</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zeroArrow</span> <a name="line-72"></a> <span class='hs-varid'>mappend</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-varid'>g</span> </pre></body> </html>
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