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<pre><a name="line-1"></a><span class='comment'>-- ------------------------------------------------------------</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='comment'>{- |
<a name="line-4"></a>   Module     : Data.Tree.NTree.TypeDefs
<a name="line-5"></a>   Copyright  : Copyright (C) 2005 Uwe Schmidt
<a name="line-6"></a>   License    : MIT
<a name="line-7"></a>
<a name="line-8"></a>   Maintainer : Uwe Schmidt (uwe\@fh-wedel.de)
<a name="line-9"></a>   Stability  : experimental
<a name="line-10"></a>   Portability: portable
<a name="line-11"></a>   Version    : $Id: TypeDefs.hs,v 1.6 2005/09/02 17:09:39 hxml Exp $
<a name="line-12"></a>
<a name="line-13"></a>Interface definition for trees
<a name="line-14"></a>
<a name="line-15"></a>n-ary tree structure (rose trees)
<a name="line-16"></a>
<a name="line-17"></a>-}</span>
<a name="line-18"></a>
<a name="line-19"></a><span class='comment'>-- ------------------------------------------------------------</span>
<a name="line-20"></a>
<a name="line-21"></a><span class='keyword'>module</span> <span class='conid'>Data</span><span class='varop'>.</span><span class='conid'>Tree</span><span class='varop'>.</span><span class='conid'>NTree</span><span class='varop'>.</span><span class='conid'>TypeDefs</span>
<a name="line-22"></a>    <span class='layout'>(</span> <span class='keyword'>module</span> <span class='conid'>Data</span><span class='varop'>.</span><span class='conid'>Tree</span><span class='varop'>.</span><span class='conid'>Class</span>
<a name="line-23"></a>    <span class='layout'>,</span> <span class='keyword'>module</span> <span class='conid'>Data</span><span class='varop'>.</span><span class='conid'>Tree</span><span class='varop'>.</span><span class='conid'>NTree</span><span class='varop'>.</span><span class='conid'>TypeDefs</span>
<a name="line-24"></a>    <span class='layout'>)</span>
<a name="line-25"></a><span class='keyword'>where</span>
<a name="line-26"></a>
<a name="line-27"></a><span class='keyword'>import</span> <span class='conid'>Control</span><span class='varop'>.</span><span class='conid'>Strategies</span><span class='varop'>.</span><span class='conid'>DeepSeq</span>
<a name="line-28"></a>
<a name="line-29"></a><span class='keyword'>import</span> <span class='conid'>Data</span><span class='varop'>.</span><span class='conid'>Tree</span><span class='varop'>.</span><span class='conid'>Class</span>
<a name="line-30"></a><span class='keyword'>import</span> <span class='conid'>Data</span><span class='varop'>.</span><span class='conid'>Typeable</span>
<a name="line-31"></a>
<a name="line-32"></a><span class='comment'>-- | n-ary ordered tree (rose trees)</span>
<a name="line-33"></a><span class='comment'>--</span>
<a name="line-34"></a><span class='comment'>-- a tree consists of a node and a possible empty list of children.</span>
<a name="line-35"></a><span class='comment'>-- If the list of children is empty, the node is a leaf, else it's</span>
<a name="line-36"></a><span class='comment'>-- an inner node.</span>
<a name="line-37"></a><span class='comment'>--</span>
<a name="line-38"></a><span class='comment'>-- NTree implements Eq, Ord, Show and Read</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="NTree"></a><span class='keyword'>data</span> <span class='conid'>NTree</span>  <span class='varid'>a</span>	<span class='keyglyph'>=</span> <span class='conid'>NTree</span> <span class='varid'>a</span> <span class='layout'>(</span><span class='conid'>NTrees</span> <span class='varid'>a</span><span class='layout'>)</span>
<a name="line-41"></a>    <span class='keyword'>deriving</span>
<a name="line-42"></a>    <span class='layout'>(</span><span class='conid'>Eq</span><span class='layout'>,</span> <span class='conid'>Ord</span><span class='layout'>,</span> <span class='conid'>Show</span><span class='layout'>,</span> <span class='conid'>Read</span><span class='layout'>,</span> <span class='conid'>Typeable</span><span class='layout'>)</span>
<a name="line-43"></a>
<a name="line-44"></a><span class='comment'>-- | shortcut for a sequence of n-ary trees</span>
<a name="line-45"></a>
<a name="line-46"></a><a name="NTrees"></a><span class='keyword'>type</span> <span class='conid'>NTrees</span>   <span class='varid'>a</span>	<span class='keyglyph'>=</span> <span class='keyglyph'>[</span><span class='conid'>NTree</span> <span class='varid'>a</span><span class='keyglyph'>]</span>
<a name="line-47"></a>
<a name="line-48"></a><span class='comment'>-- ------------------------------------------------------------</span>
<a name="line-49"></a>
<a name="line-50"></a><span class='comment'>-- |</span>
<a name="line-51"></a>
<a name="line-52"></a><span class='keyword'>instance</span> <span class='layout'>(</span><span class='conid'>DeepSeq</span> <span class='varid'>a</span><span class='layout'>)</span> <span class='keyglyph'>=&gt;</span> <span class='conid'>DeepSeq</span> <span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>a</span><span class='layout'>)</span> <span class='keyword'>where</span>
<a name="line-53"></a>    <span class='varid'>deepSeq</span> <span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>cl</span><span class='layout'>)</span> <span class='varid'>y</span>		<span class='keyglyph'>=</span> <span class='varid'>deepSeq</span> <span class='varid'>n</span> <span class='varop'>$</span> <span class='varid'>deepSeq</span> <span class='varid'>cl</span> <span class='varid'>y</span>
<a name="line-54"></a>
<a name="line-55"></a><span class='comment'>-- | NTree implements class Functor</span>
<a name="line-56"></a>
<a name="line-57"></a><span class='keyword'>instance</span> <span class='conid'>Functor</span> <span class='conid'>NTree</span> <span class='keyword'>where</span>
<a name="line-58"></a>    <span class='varid'>fmap</span> <span class='varid'>f</span> <span class='keyglyph'>~</span><span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>cl</span><span class='layout'>)</span>		<span class='keyglyph'>=</span> <span class='conid'>NTree</span> <span class='layout'>(</span><span class='varid'>f</span> <span class='varid'>n</span><span class='layout'>)</span> <span class='layout'>(</span><span class='varid'>map</span> <span class='layout'>(</span><span class='varid'>fmap</span> <span class='varid'>f</span><span class='layout'>)</span> <span class='varid'>cl</span><span class='layout'>)</span>
<a name="line-59"></a>
<a name="line-60"></a>
<a name="line-61"></a><span class='comment'>-- | Implementation of "Data.Tree.Class" interface for rose trees</span>
<a name="line-62"></a>
<a name="line-63"></a><span class='keyword'>instance</span> <span class='conid'>Tree</span> <span class='conid'>NTree</span> <span class='keyword'>where</span>
<a name="line-64"></a>    <span class='varid'>mkTree</span> <span class='varid'>n</span> <span class='varid'>cl</span>				<span class='keyglyph'>=</span> <span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>cl</span>
<a name="line-65"></a>
<a name="line-66"></a>    <span class='varid'>getNode</span>           <span class='keyglyph'>~</span><span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='keyword'>_</span> <span class='layout'>)</span>	<span class='keyglyph'>=</span> <span class='varid'>n</span>
<a name="line-67"></a>    <span class='varid'>getChildren</span>       <span class='keyglyph'>~</span><span class='layout'>(</span><span class='conid'>NTree</span> <span class='keyword'>_</span> <span class='varid'>cl</span><span class='layout'>)</span>	<span class='keyglyph'>=</span> <span class='varid'>cl</span>
<a name="line-68"></a>
<a name="line-69"></a>    <span class='varid'>changeNode</span>     <span class='varid'>cf</span> <span class='keyglyph'>~</span><span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>cl</span><span class='layout'>)</span>	<span class='keyglyph'>=</span> <span class='conid'>NTree</span> <span class='layout'>(</span><span class='varid'>cf</span> <span class='varid'>n</span><span class='layout'>)</span> <span class='varid'>cl</span>
<a name="line-70"></a>    <span class='varid'>changeChildren</span> <span class='varid'>cf</span> <span class='keyglyph'>~</span><span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>cl</span><span class='layout'>)</span>	<span class='keyglyph'>=</span> <span class='conid'>NTree</span> <span class='varid'>n</span> <span class='layout'>(</span><span class='varid'>cf</span> <span class='varid'>cl</span><span class='layout'>)</span>
<a name="line-71"></a>
<a name="line-72"></a>    <span class='varid'>foldTree</span>        <span class='varid'>f</span> <span class='keyglyph'>~</span><span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>cs</span><span class='layout'>)</span>	<span class='keyglyph'>=</span> <span class='varid'>f</span> <span class='varid'>n</span> <span class='layout'>(</span><span class='varid'>map</span> <span class='layout'>(</span><span class='varid'>foldTree</span> <span class='varid'>f</span><span class='layout'>)</span> <span class='varid'>cs</span><span class='layout'>)</span>
<a name="line-73"></a>
<a name="line-74"></a>    <span class='varid'>nodesTree</span>		<span class='keyglyph'>=</span> <span class='varid'>foldTree</span> <span class='layout'>(</span><span class='keyglyph'>\</span> <span class='varid'>n</span> <span class='varid'>rs</span> <span class='keyglyph'>-&gt;</span> <span class='varid'>n</span> <span class='conop'>:</span> <span class='varid'>concat</span> <span class='varid'>rs</span><span class='layout'>)</span>
<a name="line-75"></a>    <span class='varid'>depthTree</span>		<span class='keyglyph'>=</span> <span class='varid'>foldTree</span> <span class='layout'>(</span><span class='keyglyph'>\</span> <span class='keyword'>_</span> <span class='varid'>rs</span> <span class='keyglyph'>-&gt;</span> <span class='num'>1</span> <span class='varop'>+</span> <span class='varid'>maximum</span> <span class='layout'>(</span><span class='num'>0</span> <span class='conop'>:</span> <span class='varid'>rs</span><span class='layout'>)</span><span class='layout'>)</span>
<a name="line-76"></a>    <span class='varid'>cardTree</span>		<span class='keyglyph'>=</span> <span class='varid'>foldTree</span> <span class='layout'>(</span><span class='keyglyph'>\</span> <span class='keyword'>_</span> <span class='varid'>rs</span> <span class='keyglyph'>-&gt;</span> <span class='num'>1</span> <span class='varop'>+</span> <span class='varid'>sum</span> <span class='varid'>rs</span><span class='layout'>)</span>
<a name="line-77"></a>    <span class='varid'>formatTree</span> <span class='varid'>nf</span> <span class='varid'>n</span>	<span class='keyglyph'>=</span> <span class='varid'>formatNTreeF</span> <span class='varid'>nf</span> <span class='layout'>(</span><span class='varid'>showString</span> <span class='str'>"---"</span><span class='layout'>)</span> <span class='layout'>(</span><span class='varid'>showString</span> <span class='str'>"   "</span><span class='layout'>)</span> <span class='varid'>n</span> <span class='str'>""</span>
<a name="line-78"></a>
<a name="line-79"></a><span class='comment'>-- ------------------------------------------------------------</span>
<a name="line-80"></a><span class='comment'>-- |</span>
<a name="line-81"></a><span class='comment'>-- convert a tree into a pseudo graphical string reprsentation</span>
<a name="line-82"></a>
<a name="line-83"></a><a name="formatNTreeF"></a><span class='definition'>formatNTreeF</span>	<span class='keyglyph'>::</span> <span class='layout'>(</span><span class='varid'>node</span> <span class='keyglyph'>-&gt;</span> <span class='conid'>String</span><span class='layout'>)</span> <span class='keyglyph'>-&gt;</span> <span class='layout'>(</span><span class='conid'>String</span> <span class='keyglyph'>-&gt;</span> <span class='conid'>String</span><span class='layout'>)</span> <span class='keyglyph'>-&gt;</span> <span class='layout'>(</span><span class='conid'>String</span> <span class='keyglyph'>-&gt;</span> <span class='conid'>String</span><span class='layout'>)</span> <span class='keyglyph'>-&gt;</span> <span class='conid'>NTree</span> <span class='varid'>node</span> <span class='keyglyph'>-&gt;</span> <span class='conid'>String</span> <span class='keyglyph'>-&gt;</span> <span class='conid'>String</span>
<a name="line-84"></a>
<a name="line-85"></a><span class='definition'>formatNTreeF</span> <span class='varid'>node2String</span> <span class='varid'>pf1</span> <span class='varid'>pf2</span> <span class='layout'>(</span><span class='conid'>NTree</span> <span class='varid'>n</span> <span class='varid'>l</span><span class='layout'>)</span>
<a name="line-86"></a>    <span class='keyglyph'>=</span> <span class='varid'>formatNode</span>
<a name="line-87"></a>      <span class='varop'>.</span> <span class='varid'>formatChildren</span> <span class='varid'>pf2</span> <span class='varid'>l</span>
<a name="line-88"></a>    <span class='keyword'>where</span>
<a name="line-89"></a>    <span class='varid'>formatNode</span>	<span class='keyglyph'>=</span> <span class='varid'>pf1</span> <span class='varop'>.</span> <span class='varid'>foldr</span> <span class='layout'>(</span><span class='varop'>.</span><span class='layout'>)</span> <span class='varid'>id</span> <span class='layout'>(</span><span class='varid'>map</span> <span class='varid'>trNL</span> <span class='layout'>(</span><span class='varid'>node2String</span> <span class='varid'>n</span><span class='layout'>)</span><span class='layout'>)</span> <span class='varop'>.</span> <span class='varid'>showNL</span>
<a name="line-90"></a>    <span class='varid'>trNL</span> <span class='chr'>'\n'</span>	<span class='keyglyph'>=</span> <span class='varid'>showNL</span> <span class='varop'>.</span> <span class='varid'>pf2</span>
<a name="line-91"></a>    <span class='varid'>trNL</span> <span class='varid'>c</span>	<span class='keyglyph'>=</span> <span class='varid'>showChar</span> <span class='varid'>c</span>
<a name="line-92"></a>    <span class='varid'>showNL</span>	<span class='keyglyph'>=</span> <span class='varid'>showChar</span> <span class='chr'>'\n'</span>
<a name="line-93"></a>    <span class='varid'>formatChildren</span> <span class='keyword'>_</span> <span class='conid'>[]</span>
<a name="line-94"></a>	<span class='keyglyph'>=</span> <span class='varid'>id</span>
<a name="line-95"></a>    <span class='varid'>formatChildren</span> <span class='varid'>pf</span> <span class='layout'>(</span><span class='varid'>t</span><span class='conop'>:</span><span class='varid'>ts</span><span class='layout'>)</span>
<a name="line-96"></a>	<span class='keyglyph'>|</span> <span class='varid'>null</span> <span class='varid'>ts</span>
<a name="line-97"></a>	    <span class='keyglyph'>=</span> <span class='varid'>pfl'</span>
<a name="line-98"></a>	      <span class='varop'>.</span> <span class='varid'>formatTr</span> <span class='varid'>pf2'</span> <span class='varid'>t</span>
<a name="line-99"></a>	<span class='keyglyph'>|</span> <span class='varid'>otherwise</span>
<a name="line-100"></a>	    <span class='keyglyph'>=</span> <span class='varid'>pfl'</span>
<a name="line-101"></a>	      <span class='varop'>.</span> <span class='varid'>formatTr</span> <span class='varid'>pf1'</span> <span class='varid'>t</span>
<a name="line-102"></a>	      <span class='varop'>.</span> <span class='varid'>formatChildren</span> <span class='varid'>pf</span> <span class='varid'>ts</span>
<a name="line-103"></a>	<span class='keyword'>where</span>
<a name="line-104"></a>	<span class='varid'>pf0'</span>	<span class='keyglyph'>=</span> <span class='varid'>pf</span> <span class='varop'>.</span> <span class='varid'>showString</span> <span class='varid'>indent1</span>
<a name="line-105"></a>	<span class='varid'>pf1'</span>	<span class='keyglyph'>=</span> <span class='varid'>pf</span> <span class='varop'>.</span> <span class='varid'>showString</span> <span class='varid'>indent2</span>
<a name="line-106"></a>	<span class='varid'>pf2'</span>	<span class='keyglyph'>=</span> <span class='varid'>pf</span> <span class='varop'>.</span> <span class='varid'>showString</span> <span class='varid'>indent3</span>
<a name="line-107"></a>	<span class='varid'>pfl'</span>	<span class='keyglyph'>=</span> <span class='varid'>pf</span> <span class='varop'>.</span> <span class='varid'>showString</span> <span class='varid'>indent4</span>
<a name="line-108"></a>	<span class='varid'>formatTr</span>	<span class='keyglyph'>=</span> <span class='varid'>formatNTreeF</span> <span class='varid'>node2String</span> <span class='varid'>pf0'</span>
<a name="line-109"></a>	<span class='varid'>indent1</span> <span class='keyglyph'>=</span> <span class='str'>"+---"</span>
<a name="line-110"></a>	<span class='varid'>indent2</span> <span class='keyglyph'>=</span> <span class='str'>"|   "</span>
<a name="line-111"></a>	<span class='varid'>indent3</span> <span class='keyglyph'>=</span> <span class='str'>"    "</span>
<a name="line-112"></a>	<span class='varid'>indent4</span> <span class='keyglyph'>=</span> <span class='str'>"|\n"</span>
<a name="line-113"></a>
<a name="line-114"></a><span class='comment'>-- eof ------------------------------------------------------------</span>
</pre></body>
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