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<?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>Data/GraphViz.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP, FlexibleContexts, MultiParamTypeClasses, OverloadedStrings #-}</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-comment'>{- |
<a name="line-4"></a>   Module      : Data.GraphViz
<a name="line-5"></a>   Description : Graphviz bindings for Haskell.
<a name="line-6"></a>   Copyright   : (c) Matthew Sackman, Ivan Lazar Miljenovic
<a name="line-7"></a>   License     : 3-Clause BSD-style
<a name="line-8"></a>   Maintainer  : Ivan.Miljenovic@gmail.com
<a name="line-9"></a>
<a name="line-10"></a>   This is the top-level module for the graphviz library.  It provides
<a name="line-11"></a>   functions to convert 'Data.Graph.Inductive.Graph.Graph's into the
<a name="line-12"></a>   /Dot/ language used by the /Graphviz/ suite of programs (as well as a
<a name="line-13"></a>   limited ability to perform the reverse operation).
<a name="line-14"></a>
<a name="line-15"></a>   If you wish to construct a Haskell representation of a Dot graph
<a name="line-16"></a>   yourself rather than using the conversion functions here, please
<a name="line-17"></a>   see the "Data.GraphViz.Types" module as a starting point for how to
<a name="line-18"></a>   do so.
<a name="line-19"></a>
<a name="line-20"></a>   Information about Graphviz and the Dot language can be found at:
<a name="line-21"></a>   &lt;<a href="http://graphviz.org/">http://graphviz.org/</a>&gt;
<a name="line-22"></a> -}</span>
<a name="line-23"></a>
<a name="line-24"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span>
<a name="line-25"></a>    <span class='hs-layout'>(</span> <span class='hs-comment'>-- * Conversion from graphs to /Dot/ format.</span>
<a name="line-26"></a>      <span class='hs-comment'>-- ** Specifying parameters.</span>
<a name="line-27"></a>      <span class='hs-comment'>-- $params</span>
<a name="line-28"></a>      <span class='hs-conid'>GraphvizParams</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-29"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>defaultParams</span>
<a name="line-30"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>nonClusteredParams</span>
<a name="line-31"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>blankParams</span>
<a name="line-32"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>setDirectedness</span>
<a name="line-33"></a>      <span class='hs-comment'>-- *** Specifying clusters.</span>
<a name="line-34"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>NodeCluster</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-35"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>LNodeCluster</span>
<a name="line-36"></a>      <span class='hs-comment'>-- ** Converting graphs.</span>
<a name="line-37"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>graphToDot</span>
<a name="line-38"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>graphElemsToDot</span>
<a name="line-39"></a>      <span class='hs-comment'>-- ** Pseudo-inverse conversion.</span>
<a name="line-40"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>dotToGraph</span>
<a name="line-41"></a>      <span class='hs-comment'>-- * Graph augmentation.</span>
<a name="line-42"></a>      <span class='hs-comment'>-- $augment</span>
<a name="line-43"></a>      <span class='hs-comment'>-- ** Type aliases for @Node@ and @Edge@ labels.</span>
<a name="line-44"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>AttributeNode</span>
<a name="line-45"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>AttributeEdge</span>
<a name="line-46"></a>      <span class='hs-comment'>-- ** Customisable augmentation.</span>
<a name="line-47"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>graphToGraph</span>
<a name="line-48"></a>      <span class='hs-comment'>-- ** Quick augmentation.</span>
<a name="line-49"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>dotizeGraph</span>
<a name="line-50"></a>      <span class='hs-comment'>-- ** Manual augmentation.</span>
<a name="line-51"></a>      <span class='hs-comment'>-- $manualAugment</span>
<a name="line-52"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>EdgeID</span>
<a name="line-53"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>addEdgeIDs</span>
<a name="line-54"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>setEdgeIDAttribute</span>
<a name="line-55"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>dotAttributes</span>
<a name="line-56"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>augmentGraph</span>
<a name="line-57"></a>      <span class='hs-comment'>-- * Utility functions</span>
<a name="line-58"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>preview</span>
<a name="line-59"></a>      <span class='hs-comment'>-- * Re-exporting other modules.</span>
<a name="line-60"></a>    <span class='hs-layout'>,</span> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span>
<a name="line-61"></a>    <span class='hs-layout'>,</span> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span><span class='hs-varop'>.</span><span class='hs-conid'>Canonical</span>
<a name="line-62"></a>    <span class='hs-layout'>,</span> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Attributes</span>
<a name="line-63"></a>    <span class='hs-layout'>,</span> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Commands</span>
<a name="line-64"></a>    <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-65"></a>
<a name="line-66"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Algorithms</span><span class='hs-varop'>.</span><span class='hs-conid'>Clustering</span>
<a name="line-67"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Attributes</span>
<a name="line-68"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Attributes</span><span class='hs-varop'>.</span><span class='hs-conid'>Complete</span>   <span class='hs-layout'>(</span><span class='hs-conid'>AttributeName</span><span class='hs-layout'>,</span> <span class='hs-conid'>CustomAttribute</span><span class='hs-layout'>,</span>
<a name="line-69"></a>                                            <span class='hs-varid'>customAttribute</span><span class='hs-layout'>,</span> <span class='hs-varid'>customValue</span><span class='hs-layout'>,</span>
<a name="line-70"></a>                                            <span class='hs-varid'>findSpecifiedCustom</span><span class='hs-layout'>)</span>
<a name="line-71"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Commands</span>
<a name="line-72"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Commands</span><span class='hs-varop'>.</span><span class='hs-conid'>IO</span>           <span class='hs-layout'>(</span><span class='hs-varid'>hGetDot</span><span class='hs-layout'>)</span>
<a name="line-73"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>Util</span>         <span class='hs-layout'>(</span><span class='hs-varid'>uniq</span><span class='hs-layout'>,</span> <span class='hs-varid'>uniqBy</span><span class='hs-layout'>)</span>
<a name="line-74"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span>
<a name="line-75"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span><span class='hs-varop'>.</span><span class='hs-conid'>Canonical</span>       <span class='hs-layout'>(</span><span class='hs-conid'>DotGraph</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>DotStatements</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-76"></a>                                            <span class='hs-conid'>DotSubGraph</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-77"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>GraphViz</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span><span class='hs-varop'>.</span><span class='hs-conid'>Generalised</span>     <span class='hs-layout'>(</span><span class='hs-conid'>FromGeneralisedDot</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-78"></a>
<a name="line-79"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span>              <span class='hs-layout'>(</span><span class='hs-varid'>first</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&amp;&amp;&amp;</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-80"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Concurrent</span>         <span class='hs-layout'>(</span><span class='hs-varid'>forkIO</span><span class='hs-layout'>)</span>
<a name="line-81"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Graph</span><span class='hs-varop'>.</span><span class='hs-conid'>Inductive</span><span class='hs-varop'>.</span><span class='hs-conid'>Graph</span>
<a name="line-82"></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'>Map</span>                   <span class='hs-keyword'>as</span> <span class='hs-conid'>Map</span>
<a name="line-83"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Maybe</span>                 <span class='hs-layout'>(</span><span class='hs-varid'>fromJust</span><span class='hs-layout'>,</span> <span class='hs-varid'>mapMaybe</span><span class='hs-layout'>)</span>
<a name="line-84"></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'>Set</span>                   <span class='hs-keyword'>as</span> <span class='hs-conid'>Set</span>
<a name="line-85"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Text</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span>             <span class='hs-layout'>(</span><span class='hs-conid'>Text</span><span class='hs-layout'>)</span>
<a name="line-86"></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'>Text</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span>             <span class='hs-keyword'>as</span> <span class='hs-conid'>T</span>
<a name="line-87"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>System</span><span class='hs-varop'>.</span><span class='hs-conid'>IO</span><span class='hs-varop'>.</span><span class='hs-conid'>Unsafe</span>           <span class='hs-layout'>(</span><span class='hs-varid'>unsafePerformIO</span><span class='hs-layout'>)</span>
<a name="line-88"></a>
<a name="line-89"></a><span class='hs-cpp'>#if !(MIN_VERSION_base (4,8,0))</span>
<a name="line-90"></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-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>&lt;$&gt;</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-91"></a><span class='hs-cpp'>#endif</span>
<a name="line-92"></a>
<a name="line-93"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-94"></a>
<a name="line-95"></a><a name="isUndirected"></a><span class='hs-comment'>-- | Determine if the given graph is undirected.</span>
<a name="line-96"></a><span class='hs-definition'>isUndirected</span>   <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span>
<a name="line-97"></a><span class='hs-definition'>isUndirected</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>all</span> <span class='hs-varid'>hasFlip</span> <span class='hs-varid'>es</span>
<a name="line-98"></a>  <span class='hs-keyword'>where</span>
<a name="line-99"></a>    <span class='hs-varid'>es</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labEdges</span> <span class='hs-varid'>g</span>
<a name="line-100"></a>    <span class='hs-varid'>eSet</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Set</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varid'>es</span>
<a name="line-101"></a>    <span class='hs-varid'>hasFlip</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Set</span><span class='hs-varop'>.</span><span class='hs-varid'>member</span> <span class='hs-layout'>(</span><span class='hs-varid'>flippedEdge</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-varid'>eSet</span>
<a name="line-102"></a>    <span class='hs-varid'>flippedEdge</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span>
<a name="line-103"></a>
<a name="line-104"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-105"></a>
<a name="line-106"></a><span class='hs-comment'>{- $params
<a name="line-107"></a>
<a name="line-108"></a>   A 'GraphvizParams' value contains all the information necessary to
<a name="line-109"></a>   manipulate 'Graph's with this library.  As such, its components deal
<a name="line-110"></a>   with:
<a name="line-111"></a>
<a name="line-112"></a>   * Whether to treat graphs as being directed or not;
<a name="line-113"></a>
<a name="line-114"></a>   * Which top-level 'GlobalAttributes' values should be applied;
<a name="line-115"></a>
<a name="line-116"></a>   * How to define (and name) clusters;
<a name="line-117"></a>
<a name="line-118"></a>   * How to format clusters, nodes and edges.
<a name="line-119"></a>
<a name="line-120"></a>   Apart from not having to pass multiple values around, another
<a name="line-121"></a>   advantage of using 'GraphvizParams' over the previous approach is that
<a name="line-122"></a>   there is no distinction between clustering and non-clustering variants
<a name="line-123"></a>   of the same functions.
<a name="line-124"></a>
<a name="line-125"></a>   Example usages of 'GraphvizParams' follow:
<a name="line-126"></a>
<a name="line-127"></a>   * Quickly visualise a graph using the default parameters.  Note the
<a name="line-128"></a>     usage of @'nonClusteredParams'@ over @'defaultParams'@ to avoid
<a name="line-129"></a>     type-checking problems with the cluster type.
<a name="line-130"></a>
<a name="line-131"></a>     &gt; defaultVis :: (Graph gr) =&gt; gr nl el -&gt; DotGraph Node
<a name="line-132"></a>     &gt; defaultVis = graphToDot nonClusteredParams
<a name="line-133"></a>
<a name="line-134"></a>   * As with @defaultVis@, but determine whether or not the graph is
<a name="line-135"></a>     directed or undirected.
<a name="line-136"></a>
<a name="line-137"></a>     &gt; checkDirectednessVis :: (Graph gr, Ord el) =&gt; gr nl el -&gt; DotGraph Node
<a name="line-138"></a>     &gt; checkDirectednessVis = setDirectedness graphToDot nonClusteredParams
<a name="line-139"></a>
<a name="line-140"></a>   * Clustering nodes based upon whether they are even or odd.  We
<a name="line-141"></a>     have the option of either constructing a @GraphvizParams@
<a name="line-142"></a>     directly, or using @'blankParams'@.  Using the latter to avoid
<a name="line-143"></a>     setting @'isDirected'@:
<a name="line-144"></a>
<a name="line-145"></a>     &gt; evenOdd :: (Graph gr, Ord el) =&gt; gr Int el -&gt; DotGraph Node
<a name="line-146"></a>     &gt; evenOdd = setDirectedness graphToDot params
<a name="line-147"></a>     &gt;   where
<a name="line-148"></a>     &gt;     params = blankParams { globalAttributes = []
<a name="line-149"></a>     &gt;                          , clusterBy        = clustBy
<a name="line-150"></a>     &gt;                          , clusterID        = Num . Int
<a name="line-151"></a>     &gt;                          , fmtCluster       = clFmt
<a name="line-152"></a>     &gt;                          , fmtNode          = const []
<a name="line-153"></a>     &gt;                          , fmtEdge          = const []
<a name="line-154"></a>     &gt;                          }
<a name="line-155"></a>     &gt;     clustBy (n,l) = C (n `mod` 2) $ N (n,l)
<a name="line-156"></a>     &gt;     clFmt m = [GraphAttrs [toLabel $ "n == " ++ show m ++ " (mod 2)"]]
<a name="line-157"></a>
<a name="line-158"></a>   For more examples, see the source of 'dotizeGraph' and 'preview'.
<a name="line-159"></a>
<a name="line-160"></a> -}</span>
<a name="line-161"></a>
<a name="line-162"></a><a name="GraphvizParams"></a><span class='hs-comment'>-- | Defines the parameters used to convert a 'Graph' into a 'DotRepr'.</span>
<a name="line-163"></a><a name="GraphvizParams"></a><span class='hs-comment'>--</span>
<a name="line-164"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   A value of type @'GraphvizParams' n nl el cl l@ indicates that</span>
<a name="line-165"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   the 'Graph' has a node type of @n@, node labels of type @nl@,</span>
<a name="line-166"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   edge labels of type @el@, corresponding clusters of type @cl@ and</span>
<a name="line-167"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   after clustering the nodes have a label of type @l@ (which may or</span>
<a name="line-168"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   may not be the same as @nl@).</span>
<a name="line-169"></a><a name="GraphvizParams"></a><span class='hs-comment'>--</span>
<a name="line-170"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   The tuples in the function types represent labelled nodes (for</span>
<a name="line-171"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   @(n,nl)@ and @(n,l)@) and labelled edges (@(n,n,el)@; the value</span>
<a name="line-172"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   @(f,t,ftl)@ is an edge from @f@ to @l@ with a label of @ftl@).</span>
<a name="line-173"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   These correspond to 'LNode' and 'LEdge' in FGL graphs.</span>
<a name="line-174"></a><a name="GraphvizParams"></a><span class='hs-comment'>--</span>
<a name="line-175"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   The clustering in 'clusterBy' can be to arbitrary depth.</span>
<a name="line-176"></a><a name="GraphvizParams"></a><span class='hs-comment'>--</span>
<a name="line-177"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   Note that the term \"cluster\" is slightly conflated here: in</span>
<a name="line-178"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   terms of @GraphvizParams@ values, a cluster is a grouping of</span>
<a name="line-179"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   nodes; the 'isDotCluster' function lets you specify whether it is</span>
<a name="line-180"></a><a name="GraphvizParams"></a><span class='hs-comment'>--   a cluster in the Dot sense or just a sub-graph.</span>
<a name="line-181"></a><a name="GraphvizParams"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-varid'>n</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span>
<a name="line-182"></a>     <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Params</span> <span class='hs-layout'>{</span> <span class='hs-comment'>-- | @True@ if the graph is directed; @False@</span>
<a name="line-183"></a>                <span class='hs-comment'>--   otherwise.</span>
<a name="line-184"></a>                <span class='hs-varid'>isDirected</span>       <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bool</span>
<a name="line-185"></a>                <span class='hs-comment'>-- | The top-level global 'Attributes' for the entire</span>
<a name="line-186"></a>                <span class='hs-comment'>--   graph.</span>
<a name="line-187"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>globalAttributes</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>GlobalAttributes</span><span class='hs-keyglyph'>]</span>
<a name="line-188"></a>                <span class='hs-comment'>-- | A function to specify which cluster a particular</span>
<a name="line-189"></a>                <span class='hs-comment'>--   node is in.</span>
<a name="line-190"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>clusterBy</span>        <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>nl</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>NodeCluster</span> <span class='hs-varid'>cl</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-191"></a>                <span class='hs-comment'>-- | Is this \"cluster\" actually a cluster, or just a</span>
<a name="line-192"></a>                <span class='hs-comment'>--   sub-graph?</span>
<a name="line-193"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>isDotCluster</span>     <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>cl</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span>
<a name="line-194"></a>                <span class='hs-comment'>-- | The name/identifier for a cluster.</span>
<a name="line-195"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>clusterID</span>        <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>cl</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>GraphID</span><span class='hs-layout'>)</span>
<a name="line-196"></a>                <span class='hs-comment'>-- | Specify which global attributes are applied in</span>
<a name="line-197"></a>                <span class='hs-comment'>--   the given cluster.</span>
<a name="line-198"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>fmtCluster</span>       <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>cl</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>GlobalAttributes</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-199"></a>                <span class='hs-comment'>-- | The specific @Attributes@ for a node.</span>
<a name="line-200"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>fmtNode</span>          <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Attributes</span><span class='hs-layout'>)</span>
<a name="line-201"></a>                <span class='hs-comment'>-- | The specific @Attributes@ for an edge.</span>
<a name="line-202"></a>              <span class='hs-layout'>,</span> <span class='hs-varid'>fmtEdge</span>          <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>el</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Attributes</span><span class='hs-layout'>)</span>
<a name="line-203"></a>              <span class='hs-layout'>}</span>
<a name="line-204"></a>
<a name="line-205"></a>
<a name="line-206"></a><a name="LNodeCluster"></a><span class='hs-comment'>-- | An alias for 'NodeCluster' when dealing with FGL graphs.</span>
<a name="line-207"></a><a name="LNodeCluster"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>LNodeCluster</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NodeCluster</span> <span class='hs-varid'>cl</span> <span class='hs-layout'>(</span><span class='hs-conid'>Node</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span>
<a name="line-208"></a>
<a name="line-209"></a><a name="defaultParams"></a><span class='hs-comment'>-- | A default 'GraphvizParams' value which assumes the graph is</span>
<a name="line-210"></a><span class='hs-comment'>--   directed, contains no clusters and has no 'Attribute's set.</span>
<a name="line-211"></a><span class='hs-comment'>--</span>
<a name="line-212"></a><span class='hs-comment'>--   If you wish to have the labels of the nodes to have a different</span>
<a name="line-213"></a><span class='hs-comment'>--   type after applying 'clusterBy' from before clustering, then you</span>
<a name="line-214"></a><span class='hs-comment'>--   will have to specify your own 'GraphvizParams' value from</span>
<a name="line-215"></a><span class='hs-comment'>--   scratch (or use 'blankParams').</span>
<a name="line-216"></a><span class='hs-comment'>--</span>
<a name="line-217"></a><span class='hs-comment'>--   If you use a custom 'clusterBy' function (which if you actually</span>
<a name="line-218"></a><span class='hs-comment'>--   want clusters you should) then you should also override the</span>
<a name="line-219"></a><span class='hs-comment'>--   (nonsensical) default 'clusterID'.</span>
<a name="line-220"></a><span class='hs-definition'>defaultParams</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-varid'>n</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>nl</span>
<a name="line-221"></a><span class='hs-definition'>defaultParams</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>isDirected</span>       <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-222"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>globalAttributes</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-223"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>clusterBy</span>        <span class='hs-keyglyph'>=</span> <span class='hs-conid'>N</span>
<a name="line-224"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>isDotCluster</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>True</span>
<a name="line-225"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>clusterID</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Int</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span>
<a name="line-226"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>fmtCluster</span>       <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>[]</span>
<a name="line-227"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>fmtNode</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>[]</span>
<a name="line-228"></a>                       <span class='hs-layout'>,</span> <span class='hs-varid'>fmtEdge</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>[]</span>
<a name="line-229"></a>                       <span class='hs-layout'>}</span>
<a name="line-230"></a>
<a name="line-231"></a><a name="nonClusteredParams"></a><span class='hs-comment'>-- | A variant of 'defaultParams' that enforces that the clustering</span>
<a name="line-232"></a><span class='hs-comment'>--   type is @'()'@ (i.e.: no clustering); this avoids problems when</span>
<a name="line-233"></a><span class='hs-comment'>--   using 'defaultParams' internally within a function without any</span>
<a name="line-234"></a><span class='hs-comment'>--   constraint on what the clustering type is.</span>
<a name="line-235"></a><span class='hs-definition'>nonClusteredParams</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-varid'>n</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-conid'>()</span> <span class='hs-varid'>nl</span>
<a name="line-236"></a><span class='hs-definition'>nonClusteredParams</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>defaultParams</span>
<a name="line-237"></a>
<a name="line-238"></a><a name="blankParams"></a><span class='hs-comment'>-- | A 'GraphvizParams' value where every field is set to</span>
<a name="line-239"></a><span class='hs-comment'>--   @'undefined'@.  This is useful when you have a function that will</span>
<a name="line-240"></a><span class='hs-comment'>--   set some of the values for you (e.g. 'setDirectedness') but you</span>
<a name="line-241"></a><span class='hs-comment'>--   don't want to bother thinking of default values to set in the</span>
<a name="line-242"></a><span class='hs-comment'>--   meantime.  This is especially useful when you are</span>
<a name="line-243"></a><span class='hs-comment'>--   programmatically setting the clustering function (and as such do</span>
<a name="line-244"></a><span class='hs-comment'>--   not know what the types might be).</span>
<a name="line-245"></a><span class='hs-definition'>blankParams</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-varid'>n</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span>
<a name="line-246"></a><span class='hs-definition'>blankParams</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>isDirected</span>       <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-247"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>globalAttributes</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-248"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>clusterBy</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-249"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>isDotCluster</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-250"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>clusterID</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-251"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>fmtCluster</span>       <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-252"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>fmtNode</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-253"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>fmtEdge</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span>
<a name="line-254"></a>                     <span class='hs-layout'>}</span>
<a name="line-255"></a>
<a name="line-256"></a><a name="setDirectedness"></a><span class='hs-comment'>-- | Determine if the provided 'Graph' is directed or not and set the</span>
<a name="line-257"></a><span class='hs-comment'>--   value of 'isDirected' appropriately.</span>
<a name="line-258"></a><span class='hs-definition'>setDirectedness</span>             <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>el</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>)</span>
<a name="line-259"></a>                               <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>GraphvizParams</span> <span class='hs-conid'>Node</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-260"></a>                               <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-conid'>Node</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-261"></a><span class='hs-definition'>setDirectedness</span> <span class='hs-varid'>f</span> <span class='hs-varid'>params</span> <span class='hs-varid'>gr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>params'</span> <span class='hs-varid'>gr</span>
<a name="line-262"></a>  <span class='hs-keyword'>where</span>
<a name="line-263"></a>    <span class='hs-varid'>params'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>isDirected</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>not</span> <span class='hs-varop'>$</span> <span class='hs-varid'>isUndirected</span> <span class='hs-varid'>gr</span> <span class='hs-layout'>}</span>
<a name="line-264"></a>
<a name="line-265"></a><a name="graphToDot"></a><span class='hs-comment'>-- | Convert a graph to /Dot/ format, using the specified parameters</span>
<a name="line-266"></a><span class='hs-comment'>--   to cluster the graph, etc.</span>
<a name="line-267"></a><span class='hs-definition'>graphToDot</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-conid'>Node</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span>
<a name="line-268"></a>              <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>DotGraph</span> <span class='hs-conid'>Node</span>
<a name="line-269"></a><span class='hs-definition'>graphToDot</span> <span class='hs-varid'>params</span> <span class='hs-varid'>graph</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>graphElemsToDot</span> <span class='hs-varid'>params</span> <span class='hs-layout'>(</span><span class='hs-varid'>labNodes</span> <span class='hs-varid'>graph</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>labEdges</span> <span class='hs-varid'>graph</span><span class='hs-layout'>)</span>
<a name="line-270"></a>
<a name="line-271"></a><a name="graphElemsToDot"></a><span class='hs-comment'>-- | As with 'graphToDot', but this allows you to easily convert other</span>
<a name="line-272"></a><span class='hs-comment'>--   graph-like formats to a Dot graph as long as you can get a list</span>
<a name="line-273"></a><span class='hs-comment'>--   of nodes and edges from it.</span>
<a name="line-274"></a><span class='hs-definition'>graphElemsToDot</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-varid'>n</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span>
<a name="line-275"></a>                   <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>nl</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>el</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>DotGraph</span> <span class='hs-varid'>n</span>
<a name="line-276"></a><span class='hs-definition'>graphElemsToDot</span> <span class='hs-varid'>params</span> <span class='hs-varid'>lns</span> <span class='hs-varid'>les</span>
<a name="line-277"></a>  <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DotGraph</span> <span class='hs-layout'>{</span> <span class='hs-varid'>strictGraph</span>     <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-278"></a>             <span class='hs-layout'>,</span> <span class='hs-varid'>directedGraph</span>   <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dirGraph</span>
<a name="line-279"></a>             <span class='hs-layout'>,</span> <span class='hs-varid'>graphID</span>         <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-280"></a>             <span class='hs-layout'>,</span> <span class='hs-varid'>graphStatements</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>stmts</span>
<a name="line-281"></a>             <span class='hs-layout'>}</span>
<a name="line-282"></a>  <span class='hs-keyword'>where</span>
<a name="line-283"></a>    <span class='hs-varid'>dirGraph</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>isDirected</span> <span class='hs-varid'>params</span>
<a name="line-284"></a>    <span class='hs-varid'>stmts</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DotStmts</span> <span class='hs-layout'>{</span> <span class='hs-varid'>attrStmts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>globalAttributes</span> <span class='hs-varid'>params</span>
<a name="line-285"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>subGraphs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span>
<a name="line-286"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>nodeStmts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ns</span>
<a name="line-287"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>edgeStmts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>es</span>
<a name="line-288"></a>                     <span class='hs-layout'>}</span>
<a name="line-289"></a>    <span class='hs-layout'>(</span><span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>ns</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>clustersToNodes</span> <span class='hs-layout'>(</span><span class='hs-varid'>clusterBy</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>isDotCluster</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-290"></a>                               <span class='hs-layout'>(</span><span class='hs-varid'>clusterID</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmtCluster</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmtNode</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-291"></a>                               <span class='hs-varid'>lns</span>
<a name="line-292"></a>    <span class='hs-varid'>es</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapMaybe</span> <span class='hs-varid'>mkDotEdge</span> <span class='hs-varid'>les</span>
<a name="line-293"></a>    <span class='hs-varid'>mkDotEdge</span> <span class='hs-varid'>e</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>dirGraph</span> <span class='hs-varop'>||</span> <span class='hs-varid'>f</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>t</span>
<a name="line-294"></a>                          <span class='hs-keyword'>then</span> <span class='hs-conid'>Just</span>
<a name="line-295"></a>                               <span class='hs-conid'>DotEdge</span> <span class='hs-layout'>{</span> <span class='hs-varid'>fromNode</span>       <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span>
<a name="line-296"></a>                                       <span class='hs-layout'>,</span> <span class='hs-varid'>toNode</span>         <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span>
<a name="line-297"></a>                                       <span class='hs-layout'>,</span> <span class='hs-varid'>edgeAttributes</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmtEdge</span> <span class='hs-varid'>params</span> <span class='hs-varid'>e</span>
<a name="line-298"></a>                                       <span class='hs-layout'>}</span>
<a name="line-299"></a>                          <span class='hs-keyword'>else</span> <span class='hs-conid'>Nothing</span>
<a name="line-300"></a>
<a name="line-301"></a><a name="dotToGraph"></a><span class='hs-comment'>-- | A pseudo-inverse to 'graphToDot'; \"pseudo\" in the sense that</span>
<a name="line-302"></a><span class='hs-comment'>--   the original node and edge labels aren't able to be</span>
<a name="line-303"></a><span class='hs-comment'>--   reconstructed.</span>
<a name="line-304"></a><span class='hs-definition'>dotToGraph</span>    <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>DotRepr</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span>
<a name="line-305"></a>                 <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-conid'>Attributes</span> <span class='hs-conid'>Attributes</span>
<a name="line-306"></a><span class='hs-definition'>dotToGraph</span> <span class='hs-varid'>dg</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkGraph</span> <span class='hs-varid'>ns'</span> <span class='hs-varid'>es</span>
<a name="line-307"></a>  <span class='hs-keyword'>where</span>
<a name="line-308"></a>    <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>graphIsDirected</span> <span class='hs-varid'>dg</span>
<a name="line-309"></a>    <span class='hs-comment'>-- Applying uniqBy just in case...</span>
<a name="line-310"></a>    <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>uniqBy</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>toLN</span> <span class='hs-varop'>$</span> <span class='hs-varid'>graphNodes</span> <span class='hs-varid'>dg</span>
<a name="line-311"></a>    <span class='hs-varid'>es</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concatMap</span> <span class='hs-varid'>toLE</span> <span class='hs-varop'>$</span> <span class='hs-varid'>graphEdges</span> <span class='hs-varid'>dg</span>
<a name="line-312"></a>    <span class='hs-comment'>-- Need to check that for some reason there aren't node IDs in an</span>
<a name="line-313"></a>    <span class='hs-comment'>-- edge but not on their own.</span>
<a name="line-314"></a>    <span class='hs-varid'>nSet</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Set</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>ns</span>
<a name="line-315"></a>    <span class='hs-varid'>nEs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-conid'>(,)</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span>
<a name="line-316"></a>          <span class='hs-varop'>.</span> <span class='hs-varid'>uniq</span>
<a name="line-317"></a>          <span class='hs-varop'>.</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-varop'>`</span><span class='hs-conid'>Set</span><span class='hs-varop'>.</span><span class='hs-varid'>notMember</span><span class='hs-varop'>`</span> <span class='hs-varid'>nSet</span><span class='hs-layout'>)</span>
<a name="line-318"></a>          <span class='hs-varop'>$</span> <span class='hs-varid'>concatMap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>n1</span><span class='hs-layout'>,</span><span class='hs-varid'>n2</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>n1</span><span class='hs-layout'>,</span><span class='hs-varid'>n2</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varid'>es</span>
<a name="line-319"></a>    <span class='hs-varid'>ns'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ns</span> <span class='hs-varop'>++</span> <span class='hs-varid'>nEs</span>
<a name="line-320"></a>    <span class='hs-comment'>-- Conversion functions</span>
<a name="line-321"></a>    <span class='hs-varid'>toLN</span> <span class='hs-layout'>(</span><span class='hs-conid'>DotNode</span> <span class='hs-varid'>n</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'>n</span><span class='hs-layout'>,</span><span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-322"></a>    <span class='hs-varid'>toLE</span> <span class='hs-layout'>(</span><span class='hs-conid'>DotEdge</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</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-keyword'>if</span> <span class='hs-varid'>d</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>id</span> <span class='hs-keyword'>else</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-keyword'>as</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'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-keyword'>as</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-323"></a>
<a name="line-324"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-325"></a>
<a name="line-326"></a><span class='hs-comment'>{- $augment
<a name="line-327"></a>   The following functions provide support for passing a 'Graph'
<a name="line-328"></a>   through the appropriate 'GraphvizCommand' to augment the 'Graph' by
<a name="line-329"></a>   adding positional information, etc.
<a name="line-330"></a>
<a name="line-331"></a>   A 'CustomAttribute' is used to distinguish multiple edges between
<a name="line-332"></a>   two nodes from each other.
<a name="line-333"></a>
<a name="line-334"></a>   Note that the reason that most of these functions do not have
<a name="line-335"></a>   'unsafePerformIO' applied to them is because if you set a global
<a name="line-336"></a>   'Attribute' of:
<a name="line-337"></a>
<a name="line-338"></a>   @
<a name="line-339"></a>    'Start' ('StartStyle' 'RandomStyle')
<a name="line-340"></a>   @
<a name="line-341"></a>
<a name="line-342"></a>   then it will not necessarily be referentially transparent (ideally,
<a name="line-343"></a>   no matter what the seed is, it will still eventually be drawn to the
<a name="line-344"></a>   same optimum, but this can't be guaranteed).  As such, if you are sure
<a name="line-345"></a>   that you're not using such an 'Attribute', then you should be able to
<a name="line-346"></a>   use 'unsafePerformIO' directly in your own code.
<a name="line-347"></a>-}</span>
<a name="line-348"></a>
<a name="line-349"></a><a name="AttributeNode"></a><span class='hs-comment'>-- | Augment the current node label type with the 'Attributes' applied</span>
<a name="line-350"></a><a name="AttributeNode"></a><span class='hs-comment'>--   to that node.</span>
<a name="line-351"></a><a name="AttributeNode"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AttributeNode</span> <span class='hs-varid'>nl</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Attributes</span><span class='hs-layout'>,</span> <span class='hs-varid'>nl</span><span class='hs-layout'>)</span>
<a name="line-352"></a>
<a name="line-353"></a><a name="AttributeEdge"></a><span class='hs-comment'>-- | Augment the current edge label type with the 'Attributes' applied</span>
<a name="line-354"></a><a name="AttributeEdge"></a><span class='hs-comment'>--   to that edge.</span>
<a name="line-355"></a><a name="AttributeEdge"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AttributeEdge</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Attributes</span><span class='hs-layout'>,</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span>
<a name="line-356"></a>
<a name="line-357"></a><a name="graphToGraph"></a><span class='hs-comment'>-- | Run the appropriate Graphviz command on the graph to get</span>
<a name="line-358"></a><span class='hs-comment'>--   positional information and then combine that information back</span>
<a name="line-359"></a><span class='hs-comment'>--   into the original graph.</span>
<a name="line-360"></a><span class='hs-definition'>graphToGraph</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-conid'>Node</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span>
<a name="line-361"></a>                <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IO</span> <span class='hs-layout'>(</span><span class='hs-varid'>gr</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeNode</span> <span class='hs-varid'>nl</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeEdge</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-362"></a><span class='hs-definition'>graphToGraph</span> <span class='hs-varid'>params</span> <span class='hs-varid'>gr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dotAttributes</span> <span class='hs-layout'>(</span><span class='hs-varid'>isDirected</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span> <span class='hs-varid'>gr'</span> <span class='hs-varid'>dot</span>
<a name="line-363"></a>  <span class='hs-keyword'>where</span>
<a name="line-364"></a>    <span class='hs-varid'>dot</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>graphToDot</span> <span class='hs-varid'>params'</span> <span class='hs-varid'>gr'</span>
<a name="line-365"></a>    <span class='hs-varid'>params'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>fmtEdge</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>setEdgeIDAttribute</span> <span class='hs-varop'>$</span> <span class='hs-varid'>fmtEdge</span> <span class='hs-varid'>params</span> <span class='hs-layout'>}</span>
<a name="line-366"></a>    <span class='hs-varid'>gr'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>addEdgeIDs</span> <span class='hs-varid'>gr</span>
<a name="line-367"></a>
<a name="line-368"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-369"></a>
<a name="line-370"></a><a name="dotizeGraph"></a><span class='hs-comment'>-- | This is a \"quick-and-dirty\" graph augmentation function that</span>
<a name="line-371"></a><span class='hs-comment'>--   sets no 'Attributes' and thus should be referentially transparent</span>
<a name="line-372"></a><span class='hs-comment'>--   and is wrapped in 'unsafePerformIO'.</span>
<a name="line-373"></a><span class='hs-comment'>--</span>
<a name="line-374"></a><span class='hs-comment'>--   Note that the provided 'GraphvizParams' is only used for</span>
<a name="line-375"></a><span class='hs-comment'>--   'isDirected', 'clusterBy' and 'clusterID'.</span>
<a name="line-376"></a><span class='hs-definition'>dotizeGraph</span>           <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>GraphvizParams</span> <span class='hs-conid'>Node</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>l</span>
<a name="line-377"></a>                         <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeNode</span> <span class='hs-varid'>nl</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeEdge</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span>
<a name="line-378"></a><span class='hs-definition'>dotizeGraph</span> <span class='hs-varid'>params</span> <span class='hs-varid'>gr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unsafePerformIO</span>
<a name="line-379"></a>                        <span class='hs-varop'>$</span> <span class='hs-varid'>graphToGraph</span> <span class='hs-varid'>params'</span> <span class='hs-varid'>gr</span>
<a name="line-380"></a>  <span class='hs-keyword'>where</span>
<a name="line-381"></a>    <span class='hs-varid'>params'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>fmtCluster</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>[]</span>
<a name="line-382"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>fmtNode</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>[]</span>
<a name="line-383"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>fmtEdge</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>const</span> <span class='hs-conid'>[]</span>
<a name="line-384"></a>                     <span class='hs-layout'>}</span>
<a name="line-385"></a>
<a name="line-386"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-387"></a>
<a name="line-388"></a><span class='hs-comment'>{- $manualAugment
<a name="line-389"></a>
<a name="line-390"></a>   This section allows you to manually augment graphs by providing
<a name="line-391"></a>   fine-grained control over the augmentation process (the standard
<a name="line-392"></a>   augmentation functions compose these together).  Possible reasons for
<a name="line-393"></a>   manual augmentation are:
<a name="line-394"></a>
<a name="line-395"></a>   * Gain access to the intermediary 'DotRepr' used.
<a name="line-396"></a>
<a name="line-397"></a>   * Convert the default 'DotGraph' to a @GDotGraph@ (found in
<a name="line-398"></a>     "Data.GraphViz.Types.Generalised") so as to have greater control over
<a name="line-399"></a>     the generated Dot code.
<a name="line-400"></a>
<a name="line-401"></a>   * Use a specific 'GraphvizCommand' rather than the default.
<a name="line-402"></a>
<a name="line-403"></a>   Note that whilst these functions provide you with more control, you
<a name="line-404"></a>   must be careful how you use them: if you use the wrong 'DotRepr' for
<a name="line-405"></a>   a 'Graph', then the behaviour of 'augmentGraph' (and all functions
<a name="line-406"></a>   that use it) is undefined.  The main point is to make sure that the
<a name="line-407"></a>   defined 'DotNode' and 'DotEdge' values aren't removed (or their ID
<a name="line-408"></a>   values - or the 'Attributes' for the 'DotEdge's - altered) to
<a name="line-409"></a>   ensure that it is possible to match up the nodes and edges in the
<a name="line-410"></a>   'Graph' with those in the 'DotRepr'.
<a name="line-411"></a>
<a name="line-412"></a>-}</span>
<a name="line-413"></a>
<a name="line-414"></a><a name="EdgeID"></a><span class='hs-comment'>-- | Used to augment an edge label with a unique identifier.</span>
<a name="line-415"></a><a name="EdgeID"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>EdgeID</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EID</span> <span class='hs-layout'>{</span> <span class='hs-varid'>eID</span>  <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Text</span>
<a name="line-416"></a>                     <span class='hs-layout'>,</span> <span class='hs-varid'>eLbl</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>el</span>
<a name="line-417"></a>                     <span class='hs-layout'>}</span>
<a name="line-418"></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>
<a name="line-419"></a><span class='hs-comment'>-- Show is only provided for printing/debugging purposes when using a</span>
<a name="line-420"></a><span class='hs-comment'>-- normal Tree-based graph.  Since it doesn't support Read, neither</span>
<a name="line-421"></a><span class='hs-comment'>-- does EdgeID.</span>
<a name="line-422"></a>
<a name="line-423"></a><a name="addEdgeIDs"></a><span class='hs-comment'>-- | Add unique edge identifiers to each label.  This is useful for</span>
<a name="line-424"></a><span class='hs-comment'>--   when multiple edges between two nodes need to be distinguished.</span>
<a name="line-425"></a><span class='hs-definition'>addEdgeIDs</span>   <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-layout'>(</span><span class='hs-conid'>EdgeID</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span>
<a name="line-426"></a><span class='hs-definition'>addEdgeIDs</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkGraph</span> <span class='hs-varid'>ns</span> <span class='hs-varid'>es'</span>
<a name="line-427"></a>  <span class='hs-keyword'>where</span>
<a name="line-428"></a>    <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labNodes</span> <span class='hs-varid'>g</span>
<a name="line-429"></a>    <span class='hs-varid'>es</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labEdges</span> <span class='hs-varid'>g</span>
<a name="line-430"></a>    <span class='hs-varid'>es'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWith</span> <span class='hs-varid'>addID</span> <span class='hs-varid'>es</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-keyglyph'>..</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-431"></a>    <span class='hs-varid'>addID</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-conid'>EID</span> <span class='hs-layout'>(</span><span class='hs-conid'>T</span><span class='hs-varop'>.</span><span class='hs-varid'>pack</span> <span class='hs-varop'>$</span> <span class='hs-varid'>show</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span>
<a name="line-432"></a>
<a name="line-433"></a><a name="setEdgeIDAttribute"></a><span class='hs-comment'>-- | Add a custom attribute to the list of attributes containing the</span>
<a name="line-434"></a><span class='hs-comment'>--   value of the unique edge identifier.</span>
<a name="line-435"></a><span class='hs-definition'>setEdgeIDAttribute</span>     <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>LEdge</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Attributes</span><span class='hs-layout'>)</span>
<a name="line-436"></a>                          <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>LEdge</span> <span class='hs-layout'>(</span><span class='hs-conid'>EdgeID</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Attributes</span><span class='hs-layout'>)</span>
<a name="line-437"></a><span class='hs-definition'>setEdgeIDAttribute</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>e</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>eid</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>identifierAttribute</span> <span class='hs-layout'>(</span><span class='hs-varid'>eID</span> <span class='hs-varid'>eid</span><span class='hs-layout'>)</span>
<a name="line-438"></a>                                        <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>stripID</span><span class='hs-layout'>)</span> <span class='hs-varid'>e</span>
<a name="line-439"></a>
<a name="line-440"></a><a name="identifierAttrName"></a><span class='hs-definition'>identifierAttrName</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AttributeName</span>
<a name="line-441"></a><span class='hs-definition'>identifierAttrName</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"graphviz_distinguish_multiple_edges"</span>
<a name="line-442"></a>
<a name="line-443"></a><a name="identifierAttribute"></a><span class='hs-definition'>identifierAttribute</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Text</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>CustomAttribute</span>
<a name="line-444"></a><span class='hs-definition'>identifierAttribute</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>customAttribute</span> <span class='hs-varid'>identifierAttrName</span>
<a name="line-445"></a>
<a name="line-446"></a><a name="stripID"></a><span class='hs-comment'>-- | Remove the unique identifier from the 'LEdge'.</span>
<a name="line-447"></a><span class='hs-definition'>stripID</span>           <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LEdge</span> <span class='hs-layout'>(</span><span class='hs-conid'>EdgeID</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>LEdge</span> <span class='hs-varid'>el</span>
<a name="line-448"></a><span class='hs-definition'>stripID</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>eid</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>eLbl</span> <span class='hs-varid'>eid</span><span class='hs-layout'>)</span>
<a name="line-449"></a>
<a name="line-450"></a><a name="dotAttributes"></a><span class='hs-comment'>-- | Pass the 'DotRepr' through the relevant command and then augment</span>
<a name="line-451"></a><span class='hs-comment'>--   the 'Graph' that it came from.</span>
<a name="line-452"></a><span class='hs-definition'>dotAttributes</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>,</span> <span class='hs-conid'>PPDotRepr</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span><span class='hs-layout'>,</span> <span class='hs-conid'>FromGeneralisedDot</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span><span class='hs-layout'>)</span>
<a name="line-453"></a>                 <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-layout'>(</span><span class='hs-conid'>EdgeID</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span>
<a name="line-454"></a>                 <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IO</span> <span class='hs-layout'>(</span><span class='hs-varid'>gr</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeNode</span> <span class='hs-varid'>nl</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeEdge</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-455"></a><span class='hs-definition'>dotAttributes</span> <span class='hs-varid'>isDir</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>dot</span>
<a name="line-456"></a>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>augmentGraph</span> <span class='hs-varid'>gr</span> <span class='hs-varop'>.</span> <span class='hs-varid'>parseDG</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>graphvizWithHandle</span> <span class='hs-varid'>command</span> <span class='hs-varid'>dot</span> <span class='hs-conid'>DotOutput</span> <span class='hs-varid'>hGetDot</span>
<a name="line-457"></a>  <span class='hs-keyword'>where</span>
<a name="line-458"></a>    <span class='hs-varid'>parseDG</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varop'>`asTypeOf`</span> <span class='hs-varid'>dot</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fromGeneralised</span>
<a name="line-459"></a>    <span class='hs-varid'>command</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>isDir</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>dirCommand</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>undirCommand</span>
<a name="line-460"></a>
<a name="line-461"></a><a name="augmentGraph"></a><span class='hs-comment'>-- | Use the 'Attributes' in the provided 'DotGraph' to augment the</span>
<a name="line-462"></a><span class='hs-comment'>--   node and edge labels in the provided 'Graph'.  The unique</span>
<a name="line-463"></a><span class='hs-comment'>--   identifiers on the edges are also stripped off.</span>
<a name="line-464"></a><span class='hs-comment'>--</span>
<a name="line-465"></a><span class='hs-comment'>--   Please note that the behaviour for this function is undefined if</span>
<a name="line-466"></a><span class='hs-comment'>--   the 'DotGraph' does not come from the original 'Graph' (either</span>
<a name="line-467"></a><span class='hs-comment'>--   by using a conversion function or by passing the result of a</span>
<a name="line-468"></a><span class='hs-comment'>--   conversion function through a 'GraphvizCommand' via the</span>
<a name="line-469"></a><span class='hs-comment'>--   'DotOutput' or similar).</span>
<a name="line-470"></a><span class='hs-definition'>augmentGraph</span>      <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>,</span> <span class='hs-conid'>DotRepr</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-layout'>(</span><span class='hs-conid'>EdgeID</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span>
<a name="line-471"></a>                     <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Node</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeNode</span> <span class='hs-varid'>nl</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttributeEdge</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span>
<a name="line-472"></a><span class='hs-definition'>augmentGraph</span> <span class='hs-varid'>g</span> <span class='hs-varid'>dg</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkGraph</span> <span class='hs-varid'>lns</span> <span class='hs-varid'>les</span>
<a name="line-473"></a>  <span class='hs-keyword'>where</span>
<a name="line-474"></a>    <span class='hs-varid'>lns</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>nodeMap</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.!</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-475"></a>          <span class='hs-varop'>$</span> <span class='hs-varid'>labNodes</span> <span class='hs-varid'>g</span>
<a name="line-476"></a>    <span class='hs-varid'>les</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>augmentEdge</span> <span class='hs-varop'>$</span> <span class='hs-varid'>labEdges</span> <span class='hs-varid'>g</span>
<a name="line-477"></a>    <span class='hs-varid'>augmentEdge</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-conid'>EID</span> <span class='hs-varid'>eid</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>edgeMap</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.!</span> <span class='hs-varid'>eid</span><span class='hs-layout'>,</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-478"></a>    <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>graphNodes</span> <span class='hs-varid'>dg</span>
<a name="line-479"></a>    <span class='hs-varid'>es</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>graphEdges</span> <span class='hs-varid'>dg</span>
<a name="line-480"></a>    <span class='hs-varid'>nodeMap</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>nodeID</span> <span class='hs-varop'>&amp;&amp;&amp;</span> <span class='hs-varid'>nodeAttributes</span><span class='hs-layout'>)</span> <span class='hs-varid'>ns</span>
<a name="line-481"></a>    <span class='hs-varid'>edgeMap</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>edgeIDAttrs</span> <span class='hs-varid'>es</span>
<a name="line-482"></a>    <span class='hs-varid'>edgeIDAttrs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>first</span> <span class='hs-varid'>customValue</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fromJust</span>
<a name="line-483"></a>                  <span class='hs-varop'>.</span> <span class='hs-varid'>findSpecifiedCustom</span> <span class='hs-varid'>identifierAttrName</span>
<a name="line-484"></a>                  <span class='hs-varop'>.</span> <span class='hs-varid'>edgeAttributes</span>
<a name="line-485"></a>
<a name="line-486"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-487"></a><span class='hs-comment'>-- Utility Functions</span>
<a name="line-488"></a>
<a name="line-489"></a><a name="preview"></a><span class='hs-comment'>-- | Quickly visualise a graph using the 'Xlib' 'GraphvizCanvas'.  If</span>
<a name="line-490"></a><span class='hs-comment'>--   your label types are not (and cannot) be instances of 'Labellable',</span>
<a name="line-491"></a><span class='hs-comment'>--   you may wish to use 'gmap', 'nmap' or 'emap' to set them to a value</span>
<a name="line-492"></a><span class='hs-comment'>--   such as @\"\"@.</span>
<a name="line-493"></a><span class='hs-definition'>preview</span>   <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>el</span><span class='hs-layout'>,</span> <span class='hs-conid'>Graph</span> <span class='hs-varid'>gr</span><span class='hs-layout'>,</span> <span class='hs-conid'>Labellable</span> <span class='hs-varid'>nl</span><span class='hs-layout'>,</span> <span class='hs-conid'>Labellable</span> <span class='hs-varid'>el</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>gr</span> <span class='hs-varid'>nl</span> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IO</span> <span class='hs-conid'>()</span>
<a name="line-494"></a><span class='hs-definition'>preview</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ign</span> <span class='hs-varop'>$</span> <span class='hs-varid'>forkIO</span> <span class='hs-layout'>(</span><span class='hs-varid'>ign</span> <span class='hs-varop'>$</span> <span class='hs-varid'>runGraphvizCanvas'</span> <span class='hs-varid'>dg</span> <span class='hs-conid'>Xlib</span><span class='hs-layout'>)</span>
<a name="line-495"></a>  <span class='hs-keyword'>where</span>
<a name="line-496"></a>    <span class='hs-varid'>dg</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>setDirectedness</span> <span class='hs-varid'>graphToDot</span> <span class='hs-varid'>params</span> <span class='hs-varid'>g</span>
<a name="line-497"></a>    <span class='hs-varid'>params</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>nonClusteredParams</span> <span class='hs-layout'>{</span> <span class='hs-varid'>fmtNode</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>toLabel</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>]</span>
<a name="line-498"></a>                                <span class='hs-layout'>,</span> <span class='hs-varid'>fmtEdge</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>toLabel</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>]</span>
<a name="line-499"></a>                                <span class='hs-layout'>}</span>
<a name="line-500"></a>    <span class='hs-varid'>ign</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varop'>&gt;&gt;</span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span>
</pre></body>
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