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<title>src/Diagrams/TwoD/Model.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts      #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE TemplateHaskell       #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE TypeFamilies          #-}</span>
<a name="line-5"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-6"></a><span class='hs-comment'>-- |</span>
<a name="line-7"></a><span class='hs-comment'>-- Module      :  Diagrams.TwoD.Model</span>
<a name="line-8"></a><span class='hs-comment'>-- Copyright   :  (c) 2011 diagrams-lib team (see LICENSE)</span>
<a name="line-9"></a><span class='hs-comment'>-- License     :  BSD-style (see LICENSE)</span>
<a name="line-10"></a><span class='hs-comment'>-- Maintainer  :  diagrams-discuss@googlegroups.com</span>
<a name="line-11"></a><span class='hs-comment'>--</span>
<a name="line-12"></a><span class='hs-comment'>-- Tools for visualizing diagrams' internal model: local origins,</span>
<a name="line-13"></a><span class='hs-comment'>-- envelopes, traces, /etc./</span>
<a name="line-14"></a><span class='hs-comment'>--</span>
<a name="line-15"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-16"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Model</span>
<a name="line-17"></a>       <span class='hs-layout'>(</span> <span class='hs-comment'>-- * Showing the local origin</span>
<a name="line-18"></a>         <span class='hs-varid'>showOrigin</span>
<a name="line-19"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>showOrigin'</span>
<a name="line-20"></a>       <span class='hs-layout'>,</span> <span class='hs-conid'>OriginOpts</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>oColor</span><span class='hs-layout'>,</span> <span class='hs-varid'>oScale</span><span class='hs-layout'>,</span> <span class='hs-varid'>oMinSize</span>
<a name="line-21"></a>
<a name="line-22"></a>         <span class='hs-comment'>-- * Showing an approximation of the envelope</span>
<a name="line-23"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>showEnvelope</span>
<a name="line-24"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>showEnvelope'</span>
<a name="line-25"></a>       <span class='hs-layout'>,</span> <span class='hs-conid'>EnvelopeOpts</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>eColor</span><span class='hs-layout'>,</span> <span class='hs-varid'>eLineWidth</span><span class='hs-layout'>,</span> <span class='hs-varid'>ePoints</span>
<a name="line-26"></a>
<a name="line-27"></a>         <span class='hs-comment'>-- * Showing an approximation of the trace</span>
<a name="line-28"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>showTrace</span>
<a name="line-29"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>showTrace'</span>
<a name="line-30"></a>       <span class='hs-layout'>,</span> <span class='hs-conid'>TraceOpts</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>tColor</span><span class='hs-layout'>,</span> <span class='hs-varid'>tScale</span><span class='hs-layout'>,</span> <span class='hs-varid'>tMinSize</span><span class='hs-layout'>,</span> <span class='hs-varid'>tPoints</span>
<a name="line-31"></a>
<a name="line-32"></a>         <span class='hs-comment'>-- * Showing labels of all named subdiagrams</span>
<a name="line-33"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>showLabels</span>
<a name="line-34"></a>       <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-35"></a>
<a name="line-36"></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'>second</span><span class='hs-layout'>)</span>
<a name="line-37"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>             <span class='hs-layout'>(</span><span class='hs-varid'>makeLenses</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>^.</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-38"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Colour</span>              <span class='hs-layout'>(</span><span class='hs-conid'>Colour</span><span class='hs-layout'>)</span>
<a name="line-39"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Colour</span><span class='hs-varop'>.</span><span class='hs-conid'>Names</span>
<a name="line-40"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Default</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-41"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span>                <span class='hs-layout'>(</span><span class='hs-varid'>intercalate</span><span class='hs-layout'>)</span>
<a name="line-42"></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-43"></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'>catMaybes</span><span class='hs-layout'>)</span>
<a name="line-44"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span>
<a name="line-45"></a>
<a name="line-46"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>Attributes</span>
<a name="line-47"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>Combinators</span>     <span class='hs-layout'>(</span><span class='hs-varid'>atPoints</span><span class='hs-layout'>)</span>
<a name="line-48"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>Core</span>
<a name="line-49"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>Core</span><span class='hs-varop'>.</span><span class='hs-conid'>Names</span>
<a name="line-50"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>CubicSpline</span>
<a name="line-51"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>Path</span>
<a name="line-52"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Attributes</span>
<a name="line-53"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Ellipse</span>
<a name="line-54"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Path</span>
<a name="line-55"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Text</span>
<a name="line-56"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Transform</span>  <span class='hs-layout'>(</span><span class='hs-varid'>rotateBy</span><span class='hs-layout'>)</span>
<a name="line-57"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span>
<a name="line-58"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>TwoD</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span>     <span class='hs-layout'>(</span><span class='hs-varid'>unitX</span><span class='hs-layout'>)</span>
<a name="line-59"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Diagrams</span><span class='hs-varop'>.</span><span class='hs-conid'>Util</span>
<a name="line-60"></a>
<a name="line-61"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Linear</span><span class='hs-varop'>.</span><span class='hs-conid'>Affine</span>
<a name="line-62"></a><span class='hs-keyword'>import</span>           <span class='hs-conid'>Linear</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span>
<a name="line-63"></a>
<a name="line-64"></a><span class='hs-comment'>------------------------------------------------------------</span>
<a name="line-65"></a><span class='hs-comment'>-- Marking the origin</span>
<a name="line-66"></a><span class='hs-comment'>------------------------------------------------------------</span>
<a name="line-67"></a>
<a name="line-68"></a><a name="OriginOpts"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>OriginOpts</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>OriginOpts</span>
<a name="line-69"></a>  <span class='hs-layout'>{</span> <span class='hs-sel'>_oColor</span>   <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Colour</span> <span class='hs-conid'>Double</span>
<a name="line-70"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_oScale</span>   <span class='hs-keyglyph'>::</span> <span class='hs-varid'>n</span>
<a name="line-71"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_oMinSize</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>n</span>
<a name="line-72"></a>  <span class='hs-layout'>}</span>
<a name="line-73"></a>
<a name="line-74"></a><a name="makeLenses"></a><span class='hs-definition'>makeLenses</span> <span class='hs-chr'>'</span><span class='hs-chr'>'</span><span class='hs-conid'>OriginOpts</span>
<a name="line-75"></a>
<a name="line-76"></a><a name="instance%20Default%20(OriginOpts%20n)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Default</span> <span class='hs-layout'>(</span><span class='hs-conid'>OriginOpts</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-77"></a>  <span class='hs-varid'>def</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>OriginOpts</span> <span class='hs-varid'>red</span> <span class='hs-layout'>(</span><span class='hs-num'>1</span><span class='hs-varop'>/</span><span class='hs-num'>50</span><span class='hs-layout'>)</span> <span class='hs-num'>0.001</span>
<a name="line-78"></a>
<a name="line-79"></a><a name="EnvelopeOpts"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>EnvelopeOpts</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EnvelopeOpts</span>
<a name="line-80"></a>  <span class='hs-layout'>{</span> <span class='hs-sel'>_eColor</span>     <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Colour</span> <span class='hs-conid'>Double</span>
<a name="line-81"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_eLineWidth</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Measure</span> <span class='hs-varid'>n</span>
<a name="line-82"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_ePoints</span>    <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span>
<a name="line-83"></a>  <span class='hs-layout'>}</span>
<a name="line-84"></a>
<a name="line-85"></a><span class='hs-definition'>makeLenses</span> <span class='hs-chr'>'</span><span class='hs-chr'>'</span><span class='hs-conid'>EnvelopeOpts</span>
<a name="line-86"></a>
<a name="line-87"></a><a name="instance%20Default%20(EnvelopeOpts%20n)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>OrderedField</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Default</span> <span class='hs-layout'>(</span><span class='hs-conid'>EnvelopeOpts</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-88"></a>  <span class='hs-varid'>def</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EnvelopeOpts</span> <span class='hs-varid'>red</span> <span class='hs-varid'>medium</span> <span class='hs-num'>32</span>
<a name="line-89"></a>
<a name="line-90"></a><a name="TraceOpts"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>TraceOpts</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>TraceOpts</span>
<a name="line-91"></a>  <span class='hs-layout'>{</span> <span class='hs-sel'>_tColor</span>   <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Colour</span> <span class='hs-conid'>Double</span>
<a name="line-92"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_tScale</span>   <span class='hs-keyglyph'>::</span> <span class='hs-varid'>n</span>
<a name="line-93"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_tMinSize</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>n</span>
<a name="line-94"></a>  <span class='hs-layout'>,</span> <span class='hs-sel'>_tPoints</span>  <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span>
<a name="line-95"></a>  <span class='hs-layout'>}</span>
<a name="line-96"></a>
<a name="line-97"></a><span class='hs-definition'>makeLenses</span> <span class='hs-chr'>'</span><span class='hs-chr'>'</span><span class='hs-conid'>TraceOpts</span>
<a name="line-98"></a>
<a name="line-99"></a><a name="instance%20Default%20(TraceOpts%20n)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Floating</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Default</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraceOpts</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-100"></a>  <span class='hs-varid'>def</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>TraceOpts</span> <span class='hs-varid'>red</span> <span class='hs-layout'>(</span><span class='hs-num'>1</span><span class='hs-varop'>/</span><span class='hs-num'>100</span><span class='hs-layout'>)</span> <span class='hs-num'>0.001</span> <span class='hs-num'>64</span>
<a name="line-101"></a>
<a name="line-102"></a><a name="showOrigin"></a><span class='hs-comment'>-- | Mark the origin of a diagram by placing a red dot 1/50th its size.</span>
<a name="line-103"></a><span class='hs-definition'>showOrigin</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Path</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid'</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-104"></a>           <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span>
<a name="line-105"></a><span class='hs-definition'>showOrigin</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showOrigin'</span> <span class='hs-varid'>def</span>
<a name="line-106"></a>
<a name="line-107"></a><a name="showOrigin'"></a><span class='hs-comment'>-- | Mark the origin of a diagram, with control over colour and scale</span>
<a name="line-108"></a><span class='hs-comment'>-- of marker dot.</span>
<a name="line-109"></a><span class='hs-definition'>showOrigin'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Path</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid'</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-110"></a>           <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>OriginOpts</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span>
<a name="line-111"></a><span class='hs-definition'>showOrigin'</span> <span class='hs-varid'>oo</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>o</span> <span class='hs-varop'>&lt;&gt;</span> <span class='hs-varid'>d</span>
<a name="line-112"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>o</span>      <span class='hs-keyglyph'>=</span> <span class='hs-varid'>strokeP</span> <span class='hs-layout'>(</span><span class='hs-varid'>circle</span> <span class='hs-varid'>sz</span><span class='hs-layout'>)</span>
<a name="line-113"></a>                   <span class='hs-cpp'>#</span> <span class='hs-varid'>fc</span> <span class='hs-layout'>(</span><span class='hs-varid'>oo</span><span class='hs-varop'>^.</span><span class='hs-varid'>oColor</span><span class='hs-layout'>)</span>
<a name="line-114"></a>                   <span class='hs-cpp'>#</span> <span class='hs-varid'>lw</span> <span class='hs-varid'>none</span>
<a name="line-115"></a>                   <span class='hs-cpp'>#</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>mempty</span><span class='hs-layout'>)</span>
<a name="line-116"></a>        <span class='hs-conid'>V2</span> <span class='hs-varid'>w</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>oo</span><span class='hs-varop'>^.</span><span class='hs-varid'>oScale</span> <span class='hs-varop'>*^</span> <span class='hs-varid'>size</span> <span class='hs-varid'>d</span>
<a name="line-117"></a>        <span class='hs-varid'>sz</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maximum</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>h</span><span class='hs-layout'>,</span> <span class='hs-varid'>oo</span><span class='hs-varop'>^.</span><span class='hs-varid'>oMinSize</span><span class='hs-keyglyph'>]</span>
<a name="line-118"></a>
<a name="line-119"></a><a name="showEnvelope'"></a><span class='hs-comment'>-- | Mark the envelope with an approximating cubic spline with control </span>
<a name="line-120"></a><span class='hs-comment'>--   over the color, line width and number of points.</span>
<a name="line-121"></a><span class='hs-definition'>showEnvelope'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Enum</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Path</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> 
<a name="line-122"></a>              <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>EnvelopeOpts</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span>
<a name="line-123"></a><span class='hs-definition'>showEnvelope'</span> <span class='hs-varid'>opts</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cubicSpline</span> <span class='hs-conid'>True</span> <span class='hs-varid'>pts</span> <span class='hs-cpp'>#</span> <span class='hs-varid'>lc</span> <span class='hs-layout'>(</span><span class='hs-varid'>opts</span><span class='hs-varop'>^.</span><span class='hs-varid'>eColor</span><span class='hs-layout'>)</span>
<a name="line-124"></a>                                            <span class='hs-cpp'>#</span> <span class='hs-varid'>lw</span> <span class='hs-varid'>w</span> <span class='hs-varop'>&lt;&gt;</span> <span class='hs-varid'>d</span>
<a name="line-125"></a>  <span class='hs-keyword'>where</span>
<a name="line-126"></a>    <span class='hs-varid'>pts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>catMaybes</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>envelopePMay</span> <span class='hs-varid'>v</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varop'>`rotateBy`</span> <span class='hs-varid'>unitX</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-varid'>inc</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>top</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-127"></a>    <span class='hs-varid'>w</span>   <span class='hs-keyglyph'>=</span> <span class='hs-varid'>opts</span> <span class='hs-varop'>^.</span> <span class='hs-varid'>eLineWidth</span>
<a name="line-128"></a>    <span class='hs-varid'>inc</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>/</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-layout'>(</span><span class='hs-varid'>opts</span><span class='hs-varop'>^.</span><span class='hs-varid'>ePoints</span><span class='hs-layout'>)</span>
<a name="line-129"></a>    <span class='hs-varid'>top</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-comment'>-</span> <span class='hs-varid'>inc</span>
<a name="line-130"></a>
<a name="line-131"></a>
<a name="line-132"></a><a name="showEnvelope"></a><span class='hs-comment'>-- | Mark the envelope with an approximating cubic spline</span>
<a name="line-133"></a><span class='hs-comment'>--   using 32 points, medium line width and red line color.</span>
<a name="line-134"></a><span class='hs-definition'>showEnvelope</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Enum</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Path</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-135"></a>             <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span>
<a name="line-136"></a><span class='hs-definition'>showEnvelope</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showEnvelope'</span> <span class='hs-varid'>def</span>
<a name="line-137"></a>
<a name="line-138"></a><a name="showTrace'"></a><span class='hs-comment'>-- | Mark the trace of a diagram, with control over colour and scale</span>
<a name="line-139"></a><span class='hs-comment'>-- of marker dot and the number of points on the trace.</span>
<a name="line-140"></a><span class='hs-definition'>showTrace'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Enum</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Path</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> 
<a name="line-141"></a>          <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraceOpts</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span>
<a name="line-142"></a><span class='hs-definition'>showTrace'</span> <span class='hs-varid'>opts</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span>  <span class='hs-varid'>atPoints</span> <span class='hs-varid'>ps</span> <span class='hs-layout'>(</span><span class='hs-varid'>repeat</span> <span class='hs-varid'>pt</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&gt;</span> <span class='hs-varid'>d</span>
<a name="line-143"></a>  <span class='hs-keyword'>where</span>
<a name="line-144"></a>    <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concatMap</span> <span class='hs-varid'>p</span> <span class='hs-varid'>ts</span>
<a name="line-145"></a>    <span class='hs-varid'>ts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zip</span> <span class='hs-varid'>rs</span> <span class='hs-varid'>vs</span>
<a name="line-146"></a>    <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>origin</span> <span class='hs-varop'>.+^</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-varop'>*^</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>r</span><span class='hs-keyglyph'>]</span>
<a name="line-147"></a>    <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varop'>`rotateBy`</span> <span class='hs-varid'>unitX</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-layout'>,</span> <span class='hs-varid'>inc</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>top</span><span class='hs-keyglyph'>]</span>
<a name="line-148"></a>    <span class='hs-varid'>rs</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>getSortedList</span> <span class='hs-varop'>$</span> <span class='hs-layout'>(</span><span class='hs-varid'>appTrace</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getTrace</span><span class='hs-layout'>)</span> <span class='hs-varid'>d</span> <span class='hs-varid'>origin</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>vs</span><span class='hs-keyglyph'>]</span>
<a name="line-149"></a>    <span class='hs-varid'>pt</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>circle</span> <span class='hs-varid'>sz</span> <span class='hs-cpp'>#</span> <span class='hs-varid'>fc</span> <span class='hs-layout'>(</span><span class='hs-varid'>opts</span><span class='hs-varop'>^.</span><span class='hs-varid'>tColor</span><span class='hs-layout'>)</span> <span class='hs-cpp'>#</span> <span class='hs-varid'>lw</span> <span class='hs-varid'>none</span>
<a name="line-150"></a>    <span class='hs-conid'>V2</span> <span class='hs-varid'>w</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>opts</span><span class='hs-varop'>^.</span><span class='hs-varid'>tScale</span> <span class='hs-varop'>*^</span> <span class='hs-varid'>size</span> <span class='hs-varid'>d</span>
<a name="line-151"></a>    <span class='hs-varid'>sz</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maximum</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>h</span><span class='hs-layout'>,</span> <span class='hs-varid'>opts</span><span class='hs-varop'>^.</span><span class='hs-varid'>tMinSize</span><span class='hs-keyglyph'>]</span>
<a name="line-152"></a>    <span class='hs-varid'>inc</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>/</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-layout'>(</span><span class='hs-varid'>opts</span><span class='hs-varop'>^.</span><span class='hs-varid'>tPoints</span><span class='hs-layout'>)</span>
<a name="line-153"></a>    <span class='hs-varid'>top</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-comment'>-</span> <span class='hs-varid'>inc</span>
<a name="line-154"></a>
<a name="line-155"></a><a name="showTrace"></a><span class='hs-comment'>-- | Mark the trace of a diagram by placing 64 red dots 1/100th its size</span>
<a name="line-156"></a><span class='hs-comment'>--   along the trace.</span>
<a name="line-157"></a><span class='hs-definition'>showTrace</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Enum</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Path</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> 
<a name="line-158"></a>          <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span>
<a name="line-159"></a><span class='hs-definition'>showTrace</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showTrace'</span> <span class='hs-varid'>def</span>
<a name="line-160"></a>
<a name="line-161"></a><span class='hs-comment'>------------------------------------------------------------</span>
<a name="line-162"></a><span class='hs-comment'>-- Labeling named points</span>
<a name="line-163"></a><span class='hs-comment'>------------------------------------------------------------</span>
<a name="line-164"></a>
<a name="line-165"></a><a name="showLabels"></a><span class='hs-definition'>showLabels</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TypeableFloat</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>Renderable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Text</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Semigroup</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-166"></a>           <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>QDiagram</span> <span class='hs-varid'>b</span> <span class='hs-conid'>V2</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Any</span>
<a name="line-167"></a><span class='hs-definition'>showLabels</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span>
<a name="line-168"></a>             <span class='hs-layout'>(</span> <span class='hs-varid'>mconcat</span>
<a name="line-169"></a>             <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'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>text</span> <span class='hs-layout'>(</span><span class='hs-varid'>simpleName</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-cpp'>#</span> <span class='hs-varid'>translate</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-varop'>.-.</span> <span class='hs-varid'>origin</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-170"></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'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>ps</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>zip</span> <span class='hs-layout'>(</span><span class='hs-varid'>repeat</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span>
<a name="line-171"></a>             <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varop'>.</span> <span class='hs-varid'>second</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span><span class='hs-layout'>)</span> <span class='hs-varid'>location</span>
<a name="line-172"></a>             <span class='hs-varop'>.</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>assocs</span>
<a name="line-173"></a>             <span class='hs-varop'>$</span> <span class='hs-varid'>m</span>
<a name="line-174"></a>             <span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&gt;</span>
<a name="line-175"></a>             <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>False</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>d</span>
<a name="line-176"></a>  <span class='hs-keyword'>where</span>
<a name="line-177"></a>    <span class='hs-conid'>SubMap</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>d</span><span class='hs-varop'>^.</span><span class='hs-varid'>subMap</span>
<a name="line-178"></a>    <span class='hs-varid'>simpleName</span> <span class='hs-layout'>(</span><span class='hs-conid'>Name</span> <span class='hs-varid'>ns</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>intercalate</span> <span class='hs-str'>" .&gt; "</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>simpleAName</span> <span class='hs-varid'>ns</span>
<a name="line-179"></a>    <span class='hs-varid'>simpleAName</span> <span class='hs-layout'>(</span><span class='hs-conid'>AName</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span> <span class='hs-varid'>n</span>
</pre></body>
</html>