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<title>src/Data/Traversable/GenericZipWith.hs</title>
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<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 : Data.Traversable.GenericZipWith</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright : (c) SAM Group, KTH/ICT/ECS 2007-2008</span>
<a name="line-5"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-6"></a><span class='hs-comment'>-- </span>
<a name="line-7"></a><span class='hs-comment'>-- Maintainer : forsyde-dev@ict.kth.se</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'>-- This module provides generalized zipWith functions.</span>
<a name="line-12"></a><span class='hs-comment'>-- </span>
<a name="line-13"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-14"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span><span class='hs-varop'>.</span><span class='hs-conid'>GenericZipWith</span>
<a name="line-15"></a> <span class='hs-layout'>(</span><span class='hs-varid'>zipWithTF</span><span class='hs-layout'>,</span>
<a name="line-16"></a> <span class='hs-varid'>zipTF</span><span class='hs-layout'>,</span>
<a name="line-17"></a> <span class='hs-varid'>zipWithTFA</span><span class='hs-layout'>,</span>
<a name="line-18"></a> <span class='hs-varid'>zipWithTFM</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-19"></a>
<a name="line-20"></a>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</span>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>T</span>
<a name="line-24"></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-25"></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'>State</span>
<a name="line-26"></a>
<a name="line-27"></a><a name="ZipState"></a><span class='hs-comment'>-- | The state contains the list of values obtained form the foldable container</span>
<a name="line-28"></a><a name="ZipState"></a><span class='hs-comment'>-- and a String indicating the name of the function currectly being executed</span>
<a name="line-29"></a><a name="ZipState"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>ZipState</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ZipState</span> <span class='hs-layout'>{</span><span class='hs-varid'>fName</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span><span class='hs-layout'>,</span>
<a name="line-30"></a> <span class='hs-varid'>list</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>}</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="ZipM"></a><span class='hs-comment'>-- | State monad containing ZipState</span>
<a name="line-33"></a><a name="ZipM"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ZipM</span> <span class='hs-varid'>l</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span> <span class='hs-layout'>(</span><span class='hs-conid'>ZipState</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-34"></a>
<a name="line-35"></a><a name="pop"></a><span class='hs-comment'>-- | pops the first element of the list inside the state</span>
<a name="line-36"></a><span class='hs-definition'>pop</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ZipM</span> <span class='hs-varid'>l</span> <span class='hs-varid'>l</span>
<a name="line-37"></a><span class='hs-definition'>pop</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-38"></a> <span class='hs-varid'>st</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>get</span>
<a name="line-39"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>list</span> <span class='hs-varid'>st</span>
<a name="line-40"></a> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fName</span> <span class='hs-varid'>st</span>
<a name="line-41"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span>
<a name="line-42"></a> <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-keyword'>do</span> <span class='hs-varid'>put</span> <span class='hs-varid'>st</span><span class='hs-layout'>{</span><span class='hs-varid'>list</span><span class='hs-keyglyph'>=</span><span class='hs-keyword'>as</span><span class='hs-layout'>}</span>
<a name="line-43"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>a</span>
<a name="line-44"></a> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>error</span> <span class='hs-varop'>$</span> <span class='hs-varid'>n</span> <span class='hs-varop'>++</span> <span class='hs-str'>": insufficient input"</span>
<a name="line-45"></a>
<a name="line-46"></a><a name="supplySecond"></a><span class='hs-comment'>-- | pop a value form the state and supply it to the second </span>
<a name="line-47"></a><span class='hs-comment'>-- argument of a binary function </span>
<a name="line-48"></a><span class='hs-definition'>supplySecond</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ZipM</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span>
<a name="line-49"></a><span class='hs-definition'>supplySecond</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>pop</span>
<a name="line-50"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="zipWithTFError"></a><span class='hs-definition'>zipWithTFError</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-53"></a> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>c</span>
<a name="line-54"></a><span class='hs-definition'>zipWithTFError</span> <span class='hs-varid'>str</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalState</span> <span class='hs-layout'>(</span><span class='hs-conid'>T</span><span class='hs-varop'>.</span><span class='hs-varid'>mapM</span> <span class='hs-layout'>(</span><span class='hs-varid'>supplySecond</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-55"></a> <span class='hs-layout'>(</span><span class='hs-conid'>ZipState</span> <span class='hs-varid'>str</span> <span class='hs-layout'>(</span><span class='hs-varid'>toList</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-56"></a>
<a name="line-57"></a>
<a name="line-58"></a><a name="zipWithTF"></a><span class='hs-definition'>zipWithTF</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>c</span>
<a name="line-59"></a><span class='hs-definition'>zipWithTF</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWithTFError</span> <span class='hs-str'>"GenericZip.zipWithTF"</span>
<a name="line-60"></a>
<a name="line-61"></a><a name="zipTF"></a><span class='hs-definition'>zipTF</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</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>
<a name="line-62"></a><span class='hs-definition'>zipTF</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWithTFError</span> <span class='hs-str'>"GenericZip.zipTF"</span> <span class='hs-conid'>(,)</span>
<a name="line-63"></a>
<a name="line-64"></a>
<a name="line-65"></a><a name="zipWithTFM"></a><span class='hs-definition'>zipWithTFM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</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'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-66"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-67"></a><span class='hs-definition'>zipWithTFM</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>T</span><span class='hs-varop'>.</span><span class='hs-varid'>sequence</span> <span class='hs-layout'>(</span><span class='hs-varid'>zipWithTFError</span> <span class='hs-str'>"GenericZip.zipWithTFM"</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-68"></a>
<a name="line-69"></a><a name="zipWithTFA"></a><span class='hs-definition'>zipWithTFA</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</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'>Applicative</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-70"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-71"></a><span class='hs-definition'>zipWithTFA</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sequenceA</span> <span class='hs-layout'>(</span><span class='hs-varid'>zipWithTFError</span> <span class='hs-str'>"GenericZip.zipWithTFA"</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
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