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<title>Graphics/Rendering/Chart/Axis/Int.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module : Graphics.Rendering.Chart.Axis.Int</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright : (c) Tim Docker 2010, 2014</span>
<a name="line-5"></a><span class='hs-comment'>-- License : BSD-style (see chart/COPYRIGHT)</span>
<a name="line-6"></a><span class='hs-comment'>--</span>
<a name="line-7"></a><span class='hs-comment'>-- Calculate and render integer indexed axes</span>
<a name="line-8"></a>
<a name="line-9"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Graphics</span><span class='hs-varop'>.</span><span class='hs-conid'>Rendering</span><span class='hs-varop'>.</span><span class='hs-conid'>Chart</span><span class='hs-varop'>.</span><span class='hs-conid'>Axis</span><span class='hs-varop'>.</span><span class='hs-conid'>Int</span><span class='hs-layout'>(</span>
<a name="line-10"></a> <span class='hs-varid'>defaultIntAxis</span><span class='hs-layout'>,</span>
<a name="line-11"></a> <span class='hs-varid'>scaledIntAxis</span><span class='hs-layout'>,</span>
<a name="line-12"></a> <span class='hs-varid'>autoScaledIntAxis</span>
<a name="line-13"></a><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-14"></a>
<a name="line-15"></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'>genericLength</span><span class='hs-layout'>)</span>
<a name="line-16"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Graphics</span><span class='hs-varop'>.</span><span class='hs-conid'>Rendering</span><span class='hs-varop'>.</span><span class='hs-conid'>Chart</span><span class='hs-varop'>.</span><span class='hs-conid'>Geometry</span>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Graphics</span><span class='hs-varop'>.</span><span class='hs-conid'>Rendering</span><span class='hs-varop'>.</span><span class='hs-conid'>Chart</span><span class='hs-varop'>.</span><span class='hs-conid'>Axis</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Graphics</span><span class='hs-varop'>.</span><span class='hs-conid'>Rendering</span><span class='hs-varop'>.</span><span class='hs-conid'>Chart</span><span class='hs-varop'>.</span><span class='hs-conid'>Axis</span><span class='hs-varop'>.</span><span class='hs-conid'>Floating</span>
<a name="line-19"></a>
<a name="line-20"></a><a name="instance%20PlotValue%20Int"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>PlotValue</span> <span class='hs-conid'>Int</span> <span class='hs-keyword'>where</span>
<a name="line-21"></a> <span class='hs-varid'>toValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromIntegral</span>
<a name="line-22"></a> <span class='hs-varid'>fromValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>round</span>
<a name="line-23"></a> <span class='hs-varid'>autoAxis</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>autoScaledIntAxis</span> <span class='hs-varid'>defaultIntAxis</span>
<a name="line-24"></a>
<a name="line-25"></a><a name="instance%20PlotValue%20Integer"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>PlotValue</span> <span class='hs-conid'>Integer</span> <span class='hs-keyword'>where</span>
<a name="line-26"></a> <span class='hs-varid'>toValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromIntegral</span>
<a name="line-27"></a> <span class='hs-varid'>fromValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>round</span>
<a name="line-28"></a> <span class='hs-varid'>autoAxis</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>autoScaledIntAxis</span> <span class='hs-varid'>defaultIntAxis</span>
<a name="line-29"></a>
<a name="line-30"></a><a name="defaultIntAxis"></a><span class='hs-definition'>defaultIntAxis</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>a</span>
<a name="line-31"></a><span class='hs-definition'>defaultIntAxis</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-layout'>{</span>
<a name="line-32"></a> <span class='hs-sel'>_la_labelf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span><span class='hs-layout'>,</span>
<a name="line-33"></a> <span class='hs-sel'>_la_nLabels</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>5</span><span class='hs-layout'>,</span>
<a name="line-34"></a> <span class='hs-sel'>_la_nTicks</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>10</span>
<a name="line-35"></a><span class='hs-layout'>}</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="autoScaledIntAxis"></a><span class='hs-definition'>autoScaledIntAxis</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integral</span> <span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-conid'>PlotValue</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-38"></a> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>AxisFn</span> <span class='hs-varid'>i</span>
<a name="line-39"></a><span class='hs-definition'>autoScaledIntAxis</span> <span class='hs-varid'>lap</span> <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>scaledIntAxis</span> <span class='hs-varid'>lap</span> <span class='hs-varid'>rs</span> <span class='hs-varid'>ps</span>
<a name="line-40"></a> <span class='hs-keyword'>where</span>
<a name="line-41"></a> <span class='hs-varid'>rs</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>minimum</span> <span class='hs-varid'>ps</span><span class='hs-layout'>,</span><span class='hs-varid'>maximum</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span>
<a name="line-42"></a>
<a name="line-43"></a><a name="scaledIntAxis"></a><span class='hs-definition'>scaledIntAxis</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integral</span> <span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-conid'>PlotValue</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-44"></a> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span><span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>AxisFn</span> <span class='hs-varid'>i</span>
<a name="line-45"></a><span class='hs-definition'>scaledIntAxis</span> <span class='hs-varid'>lap</span> <span class='hs-layout'>(</span><span class='hs-varid'>minI</span><span class='hs-layout'>,</span><span class='hs-varid'>maxI</span><span class='hs-layout'>)</span> <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>=</span>
<a name="line-46"></a> <span class='hs-varid'>makeAxis</span> <span class='hs-layout'>(</span><span class='hs-sel'>_la_labelf</span> <span class='hs-varid'>lap</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>labelvs</span><span class='hs-layout'>,</span><span class='hs-varid'>tickvs</span><span class='hs-layout'>,</span><span class='hs-varid'>gridvs</span><span class='hs-layout'>)</span>
<a name="line-47"></a> <span class='hs-keyword'>where</span>
<a name="line-48"></a> <span class='hs-varid'>range</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-49"></a> <span class='hs-varid'>range</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>minI</span> <span class='hs-varop'>==</span> <span class='hs-varid'>maxI</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-varid'>minI</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>,</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-varid'>minI</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-50"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>minI</span><span class='hs-layout'>,</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>maxI</span><span class='hs-layout'>)</span>
<a name="line-51"></a><span class='hs-comment'>-- labelvs :: [i]</span>
<a name="line-52"></a> <span class='hs-varid'>labelvs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>stepsInt</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-sel'>_la_nLabels</span> <span class='hs-varid'>lap</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-53"></a> <span class='hs-varid'>tickvs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>stepsInt</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-sel'>_la_nTicks</span> <span class='hs-varid'>lap</span><span class='hs-layout'>)</span>
<a name="line-54"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-varid'>minimum</span> <span class='hs-varid'>labelvs</span>
<a name="line-55"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-varid'>maximum</span> <span class='hs-varid'>labelvs</span> <span class='hs-layout'>)</span>
<a name="line-56"></a> <span class='hs-varid'>gridvs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labelvs</span>
<a name="line-57"></a> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>range</span> <span class='hs-varid'>ps</span>
<a name="line-58"></a>
<a name="line-59"></a><a name="stepsInt"></a><span class='hs-definition'>stepsInt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integral</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'>Range</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-60"></a><span class='hs-definition'>stepsInt</span> <span class='hs-varid'>nSteps</span> <span class='hs-varid'>range</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bestSize</span> <span class='hs-layout'>(</span><span class='hs-varid'>goodness</span> <span class='hs-varid'>alt0</span><span class='hs-layout'>)</span> <span class='hs-varid'>alt0</span> <span class='hs-varid'>alts</span>
<a name="line-61"></a> <span class='hs-keyword'>where</span>
<a name="line-62"></a> <span class='hs-varid'>bestSize</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>a'</span><span class='hs-conop'>:</span><span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>n'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>goodness</span> <span class='hs-varid'>a'</span> <span class='hs-keyword'>in</span>
<a name="line-63"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>n'</span> <span class='hs-varop'><</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>bestSize</span> <span class='hs-varid'>n'</span> <span class='hs-varid'>a'</span> <span class='hs-keyword'>as</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>a</span>
<a name="line-64"></a> <span class='hs-varid'>bestSize</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-65"></a>
<a name="line-66"></a> <span class='hs-varid'>goodness</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abs</span> <span class='hs-layout'>(</span><span class='hs-varid'>genericLength</span> <span class='hs-varid'>vs</span> <span class='hs-comment'>-</span> <span class='hs-varid'>nSteps</span><span class='hs-layout'>)</span>
<a name="line-67"></a>
<a name="line-68"></a> <span class='hs-layout'>(</span><span class='hs-varid'>alt0</span><span class='hs-conop'>:</span><span class='hs-varid'>alts</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>steps</span> <span class='hs-varid'>n</span> <span class='hs-varid'>range</span><span class='hs-layout'>)</span> <span class='hs-varid'>sampleSteps'</span>
<a name="line-69"></a>
<a name="line-70"></a> <span class='hs-comment'>-- throw away sampleSteps that are definitely too small as</span>
<a name="line-71"></a> <span class='hs-comment'>-- they takes a long time to process </span>
<a name="line-72"></a> <span class='hs-varid'>sampleSteps'</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>rangeMag</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ceiling</span> <span class='hs-layout'>(</span><span class='hs-varid'>snd</span> <span class='hs-varid'>range</span> <span class='hs-comment'>-</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>range</span><span class='hs-layout'>)</span>
<a name="line-73"></a>
<a name="line-74"></a> <span class='hs-layout'>(</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span><span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>span</span> <span class='hs-layout'>(</span><span class='hs-varop'><</span> <span class='hs-layout'>(</span><span class='hs-varid'>rangeMag</span> <span class='hs-varop'>`div`</span> <span class='hs-varid'>nSteps</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>sampleSteps</span>
<a name="line-75"></a> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>reverse</span> <span class='hs-varop'>.</span> <span class='hs-varid'>take</span> <span class='hs-num'>5</span> <span class='hs-varop'>.</span> <span class='hs-varid'>reverse</span><span class='hs-layout'>)</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-varid'>s2</span>
<a name="line-76"></a>
<a name="line-77"></a> <span class='hs-comment'>-- generate all possible step sizes</span>
<a name="line-78"></a> <span class='hs-varid'>sampleSteps</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>2</span><span class='hs-layout'>,</span><span class='hs-num'>5</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span> <span class='hs-varid'>sampleSteps1</span>
<a name="line-79"></a> <span class='hs-varid'>sampleSteps1</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>10</span><span class='hs-layout'>,</span><span class='hs-num'>20</span><span class='hs-layout'>,</span><span class='hs-num'>25</span><span class='hs-layout'>,</span><span class='hs-num'>50</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varop'>*</span><span class='hs-num'>10</span><span class='hs-layout'>)</span> <span class='hs-varid'>sampleSteps1</span>
<a name="line-80"></a>
<a name="line-81"></a> <span class='hs-varid'>steps</span> <span class='hs-varid'>size</span> <span class='hs-layout'>(</span><span class='hs-varid'>minV</span><span class='hs-layout'>,</span><span class='hs-varid'>maxV</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>takeWhile</span> <span class='hs-layout'>(</span><span class='hs-varop'><</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-varop'>+</span><span class='hs-varid'>size</span><span class='hs-keyglyph'>..</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-82"></a> <span class='hs-keyword'>where</span>
<a name="line-83"></a> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>floor</span> <span class='hs-layout'>(</span><span class='hs-varid'>minV</span> <span class='hs-varop'>/</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>size</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>*</span> <span class='hs-varid'>size</span>
<a name="line-84"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>ceiling</span> <span class='hs-layout'>(</span><span class='hs-varid'>maxV</span> <span class='hs-varop'>/</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>size</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>*</span> <span class='hs-varid'>size</span>
<a name="line-85"></a>
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