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<title>Data/Graph/Inductive/NodeMap.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-comment'>-- | Utility methods to automatically generate and keep track of a mapping</span>
<a name="line-4"></a><span class='hs-comment'>-- between node labels and 'Node's.</span>
<a name="line-5"></a><span class='hs-keyword'>module</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'>NodeMap</span><span class='hs-layout'>(</span>
<a name="line-6"></a> <span class='hs-comment'>-- * Functional Construction</span>
<a name="line-7"></a> <span class='hs-conid'>NodeMap</span><span class='hs-layout'>,</span>
<a name="line-8"></a> <span class='hs-comment'>-- ** Map Construction</span>
<a name="line-9"></a> <span class='hs-varid'>new</span><span class='hs-layout'>,</span> <span class='hs-varid'>fromGraph</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkNode</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkNode_</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkNodes</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkNodes_</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkEdge</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkEdges</span><span class='hs-layout'>,</span>
<a name="line-10"></a> <span class='hs-comment'>-- ** Graph Construction</span>
<a name="line-11"></a> <span class='hs-comment'>-- | These functions mirror the construction and destruction functions in</span>
<a name="line-12"></a> <span class='hs-comment'>-- 'Data.Graph.Inductive.Graph', but use the given 'NodeMap' to look up</span>
<a name="line-13"></a> <span class='hs-comment'>-- the appropriate 'Node's. Note that the 'insMapNode' family of functions</span>
<a name="line-14"></a> <span class='hs-comment'>-- will create new nodes as needed, but the other functions will not.</span>
<a name="line-15"></a> <span class='hs-varid'>insMapNode</span><span class='hs-layout'>,</span> <span class='hs-varid'>insMapNode_</span><span class='hs-layout'>,</span> <span class='hs-varid'>insMapEdge</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapNode</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapEdge</span><span class='hs-layout'>,</span> <span class='hs-varid'>insMapNodes</span><span class='hs-layout'>,</span>
<a name="line-16"></a> <span class='hs-varid'>insMapNodes_</span><span class='hs-layout'>,</span> <span class='hs-varid'>insMapEdges</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapNodes</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapEdges</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkMapGraph</span><span class='hs-layout'>,</span>
<a name="line-17"></a> <span class='hs-comment'>-- * Monadic Construction</span>
<a name="line-18"></a> <span class='hs-conid'>NodeMapM</span><span class='hs-layout'>,</span>
<a name="line-19"></a> <span class='hs-comment'>-- | The following mirror the functional construction functions, but handle passing</span>
<a name="line-20"></a> <span class='hs-comment'>-- 'NodeMap's and 'Graph's behind the scenes.</span>
<a name="line-21"></a>
<a name="line-22"></a> <span class='hs-comment'>-- ** Map Construction</span>
<a name="line-23"></a> <span class='hs-varid'>run</span><span class='hs-layout'>,</span> <span class='hs-varid'>run_</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkNodeM</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkNodesM</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkEdgeM</span><span class='hs-layout'>,</span> <span class='hs-varid'>mkEdgesM</span><span class='hs-layout'>,</span>
<a name="line-24"></a> <span class='hs-comment'>-- ** Graph Construction</span>
<a name="line-25"></a> <span class='hs-varid'>insMapNodeM</span><span class='hs-layout'>,</span> <span class='hs-varid'>insMapEdgeM</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapNodeM</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapEdgeM</span><span class='hs-layout'>,</span> <span class='hs-varid'>insMapNodesM</span><span class='hs-layout'>,</span>
<a name="line-26"></a> <span class='hs-varid'>insMapEdgesM</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapNodesM</span><span class='hs-layout'>,</span> <span class='hs-varid'>delMapEdgesM</span>
<a name="line-27"></a><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-28"></a>
<a name="line-29"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>State</span>
<a name="line-30"></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-31"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span><span class='hs-layout'>)</span>
<a name="line-32"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Prelude</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>P</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span><span class='hs-layout'>)</span>
<a name="line-33"></a>
<a name="line-34"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span><span class='hs-layout'>)</span>
<a name="line-35"></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'>M</span>
<a name="line-36"></a>
<a name="line-37"></a><span class='hs-cpp'>#if MIN_VERSION_containers (0,4,2)</span>
<a name="line-38"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>DeepSeq</span> <span class='hs-layout'>(</span><span class='hs-conid'>NFData</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-39"></a><span class='hs-cpp'>#endif</span>
<a name="line-40"></a>
<a name="line-41"></a><a name="NodeMap"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span>
<a name="line-42"></a> <span class='hs-conid'>NodeMap</span> <span class='hs-layout'>{</span> <span class='hs-varid'>map</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Map</span> <span class='hs-varid'>a</span> <span class='hs-conid'>Node</span><span class='hs-layout'>,</span>
<a name="line-43"></a> <span class='hs-varid'>key</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>}</span>
<a name="line-44"></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'>Show</span><span class='hs-layout'>,</span> <span class='hs-conid'>Read</span><span class='hs-layout'>)</span>
<a name="line-45"></a>
<a name="line-46"></a><span class='hs-cpp'>#if MIN_VERSION_containers (0,4,2)</span>
<a name="line-47"></a><a name="instance%20NFData%20(NodeMap%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>NFData</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NFData</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-48"></a> <span class='hs-varid'>rnf</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>mp</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rnf</span> <span class='hs-varid'>mp</span> <span class='hs-varop'>`seq`</span> <span class='hs-varid'>rnf</span> <span class='hs-varid'>k</span>
<a name="line-49"></a><span class='hs-cpp'>#endif</span>
<a name="line-50"></a>
<a name="line-51"></a><a name="new"></a><span class='hs-comment'>-- | Create a new, empty mapping.</span>
<a name="line-52"></a><span class='hs-definition'>new</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span>
<a name="line-53"></a><span class='hs-definition'>new</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NodeMap</span> <span class='hs-layout'>{</span> <span class='hs-varid'>map</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>empty</span><span class='hs-layout'>,</span> <span class='hs-varid'>key</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span> <span class='hs-layout'>}</span>
<a name="line-54"></a>
<a name="line-55"></a><span class='hs-comment'>-- LNode = (Node, a)</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="fromGraph"></a><span class='hs-comment'>-- | Generate a mapping containing the nodes in the given graph.</span>
<a name="line-58"></a><span class='hs-definition'>fromGraph</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</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'>=></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span>
<a name="line-59"></a><span class='hs-definition'>fromGraph</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-60"></a> <span class='hs-keyword'>let</span> <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-61"></a> <span class='hs-varid'>aux</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>k'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>insert</span> <span class='hs-varid'>a</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>max</span> <span class='hs-varid'>n</span> <span class='hs-varid'>k'</span><span class='hs-layout'>)</span>
<a name="line-62"></a> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-varid'>aux</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>empty</span><span class='hs-layout'>,</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span> <span class='hs-varid'>ns</span>
<a name="line-63"></a> <span class='hs-keyword'>in</span> <span class='hs-conid'>NodeMap</span> <span class='hs-layout'>{</span> <span class='hs-varid'>map</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>key</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span><span class='hs-varop'>+</span><span class='hs-num'>1</span> <span class='hs-layout'>}</span>
<a name="line-64"></a>
<a name="line-65"></a><a name="mkNode"></a><span class='hs-comment'>-- | Generate a labelled node from the given label. Will return the same node</span>
<a name="line-66"></a><span class='hs-comment'>-- for the same label.</span>
<a name="line-67"></a><span class='hs-definition'>mkNode</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-68"></a><span class='hs-definition'>mkNode</span> <span class='hs-varid'>m</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>mp</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span>
<a name="line-69"></a> <span class='hs-keyword'>case</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>a</span> <span class='hs-varid'>mp</span> <span class='hs-keyword'>of</span>
<a name="line-70"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-71"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span>
<a name="line-72"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>m'</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NodeMap</span> <span class='hs-layout'>{</span> <span class='hs-varid'>map</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>insert</span> <span class='hs-varid'>a</span> <span class='hs-varid'>k</span> <span class='hs-varid'>mp</span><span class='hs-layout'>,</span> <span class='hs-varid'>key</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span><span class='hs-varop'>+</span><span class='hs-num'>1</span> <span class='hs-layout'>}</span>
<a name="line-73"></a> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>)</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="mkNode_"></a><span class='hs-comment'>-- | Generate a labelled node and throw away the modified 'NodeMap'.</span>
<a name="line-76"></a><span class='hs-definition'>mkNode_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span>
<a name="line-77"></a><span class='hs-definition'>mkNode_</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mkNode</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-78"></a>
<a name="line-79"></a><a name="mkEdge"></a><span class='hs-comment'>-- | Generate a 'LEdge' from the node labels.</span>
<a name="line-80"></a><span class='hs-definition'>mkEdge</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Maybe</span> <span class='hs-layout'>(</span><span class='hs-conid'>LEdge</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-81"></a><span class='hs-definition'>mkEdge</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>a1</span><span class='hs-layout'>,</span> <span class='hs-varid'>a2</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-82"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>n1</span> <span class='hs-keyglyph'><-</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>a1</span> <span class='hs-varid'>m</span>
<a name="line-83"></a> <span class='hs-varid'>n2</span> <span class='hs-keyglyph'><-</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>a2</span> <span class='hs-varid'>m</span>
<a name="line-84"></a> <span class='hs-varid'>return</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-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="mkEdges"></a><span class='hs-comment'>-- | Generates a list of 'LEdge's.</span>
<a name="line-87"></a><span class='hs-definition'>mkEdges</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Maybe</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>LEdge</span> <span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-88"></a><span class='hs-definition'>mkEdges</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapM</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkEdge</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-89"></a>
<a name="line-90"></a><a name="mkNodes"></a><span class='hs-comment'>-- | Construct a list of nodes.</span>
<a name="line-91"></a><span class='hs-definition'>mkNodes</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</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-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-92"></a><span class='hs-definition'>mkNodes</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span> <span class='hs-varid'>mkNode</span>
<a name="line-93"></a>
<a name="line-94"></a><a name="map'"></a><span class='hs-definition'>map'</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-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-95"></a><span class='hs-definition'>map'</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-96"></a><span class='hs-definition'>map'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-conop'>:</span><span class='hs-varid'>bs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-97"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-98"></a> <span class='hs-layout'>(</span><span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>a''</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a'</span> <span class='hs-varid'>bs</span>
<a name="line-99"></a> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-conop'>:</span><span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>a''</span><span class='hs-layout'>)</span>
<a name="line-100"></a>
<a name="line-101"></a><a name="mkNodes_"></a><span class='hs-comment'>-- | Construct a list of nodes and throw away the modified 'NodeMap'.</span>
<a name="line-102"></a><span class='hs-definition'>mkNodes_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</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-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-103"></a><span class='hs-definition'>mkNodes_</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mkNodes</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span>
<a name="line-104"></a>
<a name="line-105"></a><a name="insMapNode"></a><span class='hs-definition'>insMapNode</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-106"></a><span class='hs-definition'>insMapNode</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-107"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkNode</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-108"></a> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>insNode</span> <span class='hs-varid'>n</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-109"></a>
<a name="line-110"></a><a name="insMapNode_"></a><span class='hs-definition'>insMapNode_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-111"></a><span class='hs-definition'>insMapNode_</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-112"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>g'</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-keyglyph'>=</span> <span class='hs-varid'>insMapNode</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-varid'>g</span>
<a name="line-113"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>g'</span>
<a name="line-114"></a>
<a name="line-115"></a><a name="insMapEdge"></a><span class='hs-definition'>insMapEdge</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-116"></a><span class='hs-definition'>insMapEdge</span> <span class='hs-varid'>m</span> <span class='hs-varid'>e</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-117"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>e'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkEdge</span> <span class='hs-varid'>m</span> <span class='hs-varid'>e</span>
<a name="line-118"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>insEdge</span> <span class='hs-varid'>e'</span> <span class='hs-varid'>g</span>
<a name="line-119"></a>
<a name="line-120"></a><a name="delMapNode"></a><span class='hs-definition'>delMapNode</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-121"></a><span class='hs-definition'>delMapNode</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-122"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkNode_</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-123"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>delNode</span> <span class='hs-varid'>n</span> <span class='hs-varid'>g</span>
<a name="line-124"></a>
<a name="line-125"></a><a name="delMapEdge"></a><span class='hs-definition'>delMapEdge</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-126"></a><span class='hs-definition'>delMapEdge</span> <span class='hs-varid'>m</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-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-127"></a> <span class='hs-keyword'>let</span> <span class='hs-conid'>Just</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'>=</span> <span class='hs-varid'>mkEdge</span> <span class='hs-varid'>m</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-conid'>()</span><span class='hs-layout'>)</span>
<a name="line-128"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>delEdge</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-varid'>g</span>
<a name="line-129"></a>
<a name="line-130"></a><a name="insMapNodes"></a><span class='hs-definition'>insMapNodes</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</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-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-131"></a><span class='hs-definition'>insMapNodes</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-132"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>ns</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkNodes</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span>
<a name="line-133"></a> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>insNodes</span> <span class='hs-varid'>ns</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>ns</span><span class='hs-layout'>)</span>
<a name="line-134"></a>
<a name="line-135"></a><a name="insMapNodes_"></a><span class='hs-definition'>insMapNodes_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</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-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-136"></a><span class='hs-definition'>insMapNodes_</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-137"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>g'</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-keyglyph'>=</span> <span class='hs-varid'>insMapNodes</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span> <span class='hs-varid'>g</span>
<a name="line-138"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>g'</span>
<a name="line-139"></a>
<a name="line-140"></a><a name="insMapEdges"></a><span class='hs-definition'>insMapEdges</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-141"></a><span class='hs-definition'>insMapEdges</span> <span class='hs-varid'>m</span> <span class='hs-varid'>es</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-142"></a> <span class='hs-keyword'>let</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>es'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkEdges</span> <span class='hs-varid'>m</span> <span class='hs-varid'>es</span>
<a name="line-143"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>insEdges</span> <span class='hs-varid'>es'</span> <span class='hs-varid'>g</span>
<a name="line-144"></a>
<a name="line-145"></a><a name="delMapNodes"></a><span class='hs-definition'>delMapNodes</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</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-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-146"></a><span class='hs-definition'>delMapNodes</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-147"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>P</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mkNodes_</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>as</span>
<a name="line-148"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>delNodes</span> <span class='hs-varid'>ns</span> <span class='hs-varid'>g</span>
<a name="line-149"></a>
<a name="line-150"></a><a name="delMapEdges"></a><span class='hs-definition'>delMapEdges</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-151"></a><span class='hs-definition'>delMapEdges</span> <span class='hs-varid'>m</span> <span class='hs-varid'>ns</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-152"></a> <span class='hs-keyword'>let</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>ns'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkEdges</span> <span class='hs-varid'>m</span> <span class='hs-varop'>$</span> <span class='hs-conid'>P</span><span class='hs-varop'>.</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'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>ns</span>
<a name="line-153"></a> <span class='hs-varid'>ns''</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>P</span><span class='hs-varop'>.</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'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</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-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>ns'</span>
<a name="line-154"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>delEdges</span> <span class='hs-varid'>ns''</span> <span class='hs-varid'>g</span>
<a name="line-155"></a>
<a name="line-156"></a><a name="mkMapGraph"></a><span class='hs-definition'>mkMapGraph</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</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-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-157"></a><span class='hs-definition'>mkMapGraph</span> <span class='hs-varid'>ns</span> <span class='hs-varid'>es</span> <span class='hs-keyglyph'>=</span>
<a name="line-158"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>ns'</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkNodes</span> <span class='hs-varid'>new</span> <span class='hs-varid'>ns</span>
<a name="line-159"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>es'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkEdges</span> <span class='hs-varid'>m'</span> <span class='hs-varid'>es</span>
<a name="line-160"></a> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkGraph</span> <span class='hs-varid'>ns'</span> <span class='hs-varid'>es'</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>)</span>
<a name="line-161"></a>
<a name="line-162"></a><a name="NodeMapM"></a><span class='hs-comment'>-- | Graph construction monad; handles passing both the 'NodeMap' and the</span>
<a name="line-163"></a><a name="NodeMapM"></a><span class='hs-comment'>-- 'Graph'.</span>
<a name="line-164"></a><a name="NodeMapM"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-165"></a>
<a name="line-166"></a><a name="run"></a><span class='hs-comment'>-- | Run a construction; return the value of the computation, the modified</span>
<a name="line-167"></a><span class='hs-comment'>-- 'NodeMap', and the modified 'Graph'.</span>
<a name="line-168"></a><span class='hs-definition'>run</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-169"></a><span class='hs-definition'>run</span> <span class='hs-varid'>g</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runState</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-170"></a>
<a name="line-171"></a><a name="run_"></a><span class='hs-comment'>-- | Run a construction and only return the 'Graph'.</span>
<a name="line-172"></a><span class='hs-definition'>run_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-173"></a><span class='hs-definition'>run_</span> <span class='hs-varid'>g</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>$</span> <span class='hs-varid'>run</span> <span class='hs-varid'>g</span> <span class='hs-varid'>m</span>
<a name="line-174"></a>
<a name="line-175"></a><a name="liftN2"></a><span class='hs-comment'>{- not used
<a name="line-176"></a>liftN1 :: (Ord a, DynGraph g) => (NodeMap a -> (c, NodeMap a)) -> NodeMapM a b g c
<a name="line-177"></a>liftN1 f =
<a name="line-178"></a> do (m, g) <- get
<a name="line-179"></a> let (r, m') = f m
<a name="line-180"></a> put (m', g)
<a name="line-181"></a> return r
<a name="line-182"></a>
<a name="line-183"></a>liftN1' :: (Ord a, DynGraph g) => (NodeMap a -> c) -> NodeMapM a b g c
<a name="line-184"></a>liftN1' f =
<a name="line-185"></a> do (m, g) <- get
<a name="line-186"></a> return $ f m
<a name="line-187"></a>-}</span>
<a name="line-188"></a><span class='hs-definition'>liftN2</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-varid'>d</span>
<a name="line-189"></a><span class='hs-definition'>liftN2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span>
<a name="line-190"></a> <span class='hs-keyword'>do</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>get</span>
<a name="line-191"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span>
<a name="line-192"></a> <span class='hs-varid'>put</span> <span class='hs-layout'>(</span><span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-193"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>r</span>
<a name="line-194"></a>
<a name="line-195"></a><a name="liftN2'"></a><span class='hs-definition'>liftN2'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-varid'>d</span>
<a name="line-196"></a><span class='hs-definition'>liftN2'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span>
<a name="line-197"></a> <span class='hs-keyword'>do</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>get</span>
<a name="line-198"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span>
<a name="line-199"></a><a name="liftM1"></a><span class='hs-comment'>{- not used
<a name="line-200"></a>liftN3 :: (Ord a, DynGraph g) => (NodeMap a -> c -> d -> (e, NodeMap a)) -> c -> d -> NodeMapM a b g e
<a name="line-201"></a>liftN3 f c d =
<a name="line-202"></a> do (m, g) <- get
<a name="line-203"></a> let (r, m') = f m c d
<a name="line-204"></a> put (m', g)
<a name="line-205"></a> return r
<a name="line-206"></a>
<a name="line-207"></a>liftN3' :: (Ord a, DynGraph g) => (NodeMap a -> c -> d -> e) -> c -> d -> NodeMapM a b g e
<a name="line-208"></a>liftN3' f c d =
<a name="line-209"></a> do (m, g) <- get
<a name="line-210"></a> return $ f m c d
<a name="line-211"></a>-}</span>
<a name="line-212"></a><span class='hs-definition'>liftM1</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-213"></a><span class='hs-definition'>liftM1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span>
<a name="line-214"></a> <span class='hs-keyword'>do</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>get</span>
<a name="line-215"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>g'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span> <span class='hs-varid'>g</span>
<a name="line-216"></a> <span class='hs-varid'>put</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>g'</span><span class='hs-layout'>)</span>
<a name="line-217"></a>
<a name="line-218"></a><a name="liftM1'"></a><span class='hs-definition'>liftM1'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>NodeMap</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-varid'>d</span>
<a name="line-219"></a><span class='hs-definition'>liftM1'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span>
<a name="line-220"></a> <span class='hs-keyword'>do</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>get</span>
<a name="line-221"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>g'</span><span class='hs-layout'>,</span> <span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span> <span class='hs-varid'>g</span>
<a name="line-222"></a> <span class='hs-varid'>put</span> <span class='hs-layout'>(</span><span class='hs-varid'>m'</span><span class='hs-layout'>,</span> <span class='hs-varid'>g'</span><span class='hs-layout'>)</span>
<a name="line-223"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>r</span>
<a name="line-224"></a>
<a name="line-225"></a><a name="mkNodeM"></a><span class='hs-comment'>-- | Monadic node construction.</span>
<a name="line-226"></a><span class='hs-definition'>mkNodeM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</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'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-227"></a><span class='hs-definition'>mkNodeM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftN2</span> <span class='hs-varid'>mkNode</span>
<a name="line-228"></a>
<a name="line-229"></a><a name="mkNodesM"></a><span class='hs-definition'>mkNodesM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</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-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-230"></a><span class='hs-definition'>mkNodesM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftN2</span> <span class='hs-varid'>mkNodes</span>
<a name="line-231"></a>
<a name="line-232"></a><a name="mkEdgeM"></a><span class='hs-definition'>mkEdgeM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</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-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-layout'>(</span><span class='hs-conid'>LEdge</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-233"></a><span class='hs-definition'>mkEdgeM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftN2'</span> <span class='hs-varid'>mkEdge</span>
<a name="line-234"></a>
<a name="line-235"></a><a name="mkEdgesM"></a><span class='hs-definition'>mkEdgesM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>LEdge</span> <span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-236"></a><span class='hs-definition'>mkEdgesM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftN2'</span> <span class='hs-varid'>mkEdges</span>
<a name="line-237"></a>
<a name="line-238"></a><a name="insMapNodeM"></a><span class='hs-definition'>insMapNodeM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</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'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-239"></a><span class='hs-definition'>insMapNodeM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1'</span> <span class='hs-varid'>insMapNode</span>
<a name="line-240"></a>
<a name="line-241"></a><a name="insMapEdgeM"></a><span class='hs-definition'>insMapEdgeM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</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-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-242"></a><span class='hs-definition'>insMapEdgeM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1</span> <span class='hs-varid'>insMapEdge</span>
<a name="line-243"></a>
<a name="line-244"></a><a name="delMapNodeM"></a><span class='hs-definition'>delMapNodeM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</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'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-245"></a><span class='hs-definition'>delMapNodeM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1</span> <span class='hs-varid'>delMapNode</span>
<a name="line-246"></a>
<a name="line-247"></a><a name="delMapEdgeM"></a><span class='hs-definition'>delMapEdgeM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</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-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-248"></a><span class='hs-definition'>delMapEdgeM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1</span> <span class='hs-varid'>delMapEdge</span>
<a name="line-249"></a>
<a name="line-250"></a><a name="insMapNodesM"></a><span class='hs-definition'>insMapNodesM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</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-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>LNode</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-251"></a><span class='hs-definition'>insMapNodesM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1'</span> <span class='hs-varid'>insMapNodes</span>
<a name="line-252"></a>
<a name="line-253"></a><a name="insMapEdgesM"></a><span class='hs-definition'>insMapEdgesM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-254"></a><span class='hs-definition'>insMapEdgesM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1</span> <span class='hs-varid'>insMapEdges</span>
<a name="line-255"></a>
<a name="line-256"></a><a name="delMapNodesM"></a><span class='hs-definition'>delMapNodesM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</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-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-257"></a><span class='hs-definition'>delMapNodesM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1</span> <span class='hs-varid'>delMapNodes</span>
<a name="line-258"></a>
<a name="line-259"></a><a name="delMapEdgesM"></a><span class='hs-definition'>delMapEdgesM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>DynGraph</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NodeMapM</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>g</span> <span class='hs-conid'>()</span>
<a name="line-260"></a><span class='hs-definition'>delMapEdgesM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM1</span> <span class='hs-varid'>delMapEdges</span>
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