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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html>
<head>
<!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ -->
<title>Graphics/Rendering/Chart/Axis/Floating.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<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.Floating</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 floating value axes</span>
<a name="line-8"></a><span class='hs-comment'>-- including doubles with linear, log, and percentage scaling.</span>
<a name="line-9"></a><span class='hs-comment'>--</span>
<a name="line-10"></a>
<a name="line-11"></a><span class='hs-comment'>{-# LANGUAGE GeneralizedNewtypeDeriving #-}</span>
<a name="line-12"></a><span class='hs-comment'>{-# LANGUAGE TemplateHaskell #-}</span>
<a name="line-13"></a><span class='hs-comment'>{-# LANGUAGE ScopedTypeVariables #-}</span>
<a name="line-14"></a>
<a name="line-15"></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'>Floating</span><span class='hs-layout'>(</span>
<a name="line-16"></a>    <span class='hs-conid'>Percent</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-17"></a>    <span class='hs-conid'>LinearAxisParams</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-18"></a>    <span class='hs-conid'>LogValue</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-19"></a>    <span class='hs-conid'>LogAxisParams</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-20"></a>    <span class='hs-varid'>scaledAxis</span><span class='hs-layout'>,</span>
<a name="line-21"></a>    <span class='hs-varid'>autoScaledAxis</span><span class='hs-layout'>,</span>
<a name="line-22"></a>    <span class='hs-varid'>autoScaledLogAxis</span><span class='hs-layout'>,</span>
<a name="line-23"></a>    <span class='hs-varid'>autoSteps</span><span class='hs-layout'>,</span>
<a name="line-24"></a>
<a name="line-25"></a>    <span class='hs-varid'>la_labelf</span><span class='hs-layout'>,</span>
<a name="line-26"></a>    <span class='hs-varid'>la_nLabels</span><span class='hs-layout'>,</span>
<a name="line-27"></a>    <span class='hs-varid'>la_nTicks</span><span class='hs-layout'>,</span>
<a name="line-28"></a>
<a name="line-29"></a>    <span class='hs-varid'>loga_labelf</span>
<a name="line-30"></a><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-31"></a>
<a name="line-32"></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'>minimumBy</span><span class='hs-layout'>)</span>
<a name="line-33"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Ord</span> <span class='hs-layout'>(</span><span class='hs-varid'>comparing</span><span class='hs-layout'>)</span>
<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'>Default</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-35"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Numeric</span> <span class='hs-layout'>(</span><span class='hs-varid'>showEFloat</span><span class='hs-layout'>,</span> <span class='hs-varid'>showFFloat</span><span class='hs-layout'>)</span>
<a name="line-36"></a>
<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>
<a name="line-38"></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-39"></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'>Utils</span>
<a name="line-40"></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-41"></a>
<a name="line-42"></a><span class='hs-comment'>-- Note: the following code uses explicit Integer types</span>
<a name="line-43"></a><span class='hs-comment'>-- to avoid -Wall 'defaulting to Integer' messages.</span>
<a name="line-44"></a>
<a name="line-45"></a><a name="instance%20PlotValue%20Double"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>PlotValue</span> <span class='hs-conid'>Double</span> <span class='hs-keyword'>where</span>
<a name="line-46"></a>    <span class='hs-varid'>toValue</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-47"></a>    <span class='hs-varid'>fromValue</span><span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-48"></a>    <span class='hs-varid'>autoAxis</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>autoScaledAxis</span> <span class='hs-varid'>def</span>
<a name="line-49"></a>
<a name="line-50"></a><a name="instance%20PlotValue%20Float"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>PlotValue</span> <span class='hs-conid'>Float</span> <span class='hs-keyword'>where</span>
<a name="line-51"></a>    <span class='hs-varid'>toValue</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>realToFrac</span>
<a name="line-52"></a>    <span class='hs-varid'>fromValue</span><span class='hs-keyglyph'>=</span> <span class='hs-varid'>realToFrac</span>
<a name="line-53"></a>    <span class='hs-varid'>autoAxis</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>autoScaledAxis</span> <span class='hs-varid'>def</span>
<a name="line-54"></a>
<a name="line-55"></a><a name="Percent"></a><span class='hs-comment'>-- | A wrapper class for doubles used to indicate they are to</span>
<a name="line-56"></a><a name="Percent"></a><span class='hs-comment'>-- be plotted against a percentage axis.</span>
<a name="line-57"></a><a name="Percent"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Percent</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Percent</span> <span class='hs-layout'>{</span><span class='hs-varid'>unPercent</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Double</span><span class='hs-layout'>}</span>
<a name="line-58"></a>    <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Ord</span><span class='hs-layout'>,</span><span class='hs-conid'>Num</span><span class='hs-layout'>,</span><span class='hs-conid'>Real</span><span class='hs-layout'>,</span><span class='hs-conid'>Fractional</span><span class='hs-layout'>,</span><span class='hs-conid'>RealFrac</span><span class='hs-layout'>,</span><span class='hs-conid'>Floating</span><span class='hs-layout'>,</span><span class='hs-conid'>RealFloat</span><span class='hs-layout'>)</span>
<a name="line-59"></a>
<a name="line-60"></a><a name="instance%20Show%20Percent"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-conid'>Percent</span> <span class='hs-keyword'>where</span>
<a name="line-61"></a>    <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-conid'>Percent</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showD</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-varop'>*</span><span class='hs-num'>100</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>"%"</span>
<a name="line-62"></a>
<a name="line-63"></a><a name="instance%20PlotValue%20Percent"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>PlotValue</span> <span class='hs-conid'>Percent</span> <span class='hs-keyword'>where</span>
<a name="line-64"></a>    <span class='hs-varid'>toValue</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unPercent</span>
<a name="line-65"></a>    <span class='hs-varid'>fromValue</span><span class='hs-keyglyph'>=</span> <span class='hs-conid'>Percent</span>
<a name="line-66"></a>    <span class='hs-varid'>autoAxis</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>autoScaledAxis</span> <span class='hs-varid'>def</span> <span class='hs-comment'>{-_la_labelf=-}</span>
<a name="line-67"></a>
<a name="line-68"></a><a name="LogValue"></a><span class='hs-comment'>-- | A wrapper class for doubles used to indicate they are to</span>
<a name="line-69"></a><a name="LogValue"></a><span class='hs-comment'>-- be plotted against a log axis.</span>
<a name="line-70"></a><a name="LogValue"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>LogValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LogValue</span> <span class='hs-conid'>Double</span>
<a name="line-71"></a>    <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span><span class='hs-layout'>,</span> <span class='hs-conid'>Real</span><span class='hs-layout'>,</span> <span class='hs-conid'>Fractional</span><span class='hs-layout'>,</span> <span class='hs-conid'>RealFrac</span><span class='hs-layout'>,</span> <span class='hs-conid'>Floating</span><span class='hs-layout'>,</span> <span class='hs-conid'>RealFloat</span><span class='hs-layout'>)</span>
<a name="line-72"></a>
<a name="line-73"></a><a name="instance%20Show%20LogValue"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-conid'>LogValue</span> <span class='hs-keyword'>where</span>
<a name="line-74"></a>    <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-conid'>LogValue</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span> <span class='hs-varid'>x</span>
<a name="line-75"></a>
<a name="line-76"></a><a name="instance%20PlotValue%20LogValue"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>PlotValue</span> <span class='hs-conid'>LogValue</span> <span class='hs-keyword'>where</span>
<a name="line-77"></a>    <span class='hs-varid'>toValue</span> <span class='hs-layout'>(</span><span class='hs-conid'>LogValue</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>log</span> <span class='hs-varid'>x</span>
<a name="line-78"></a>    <span class='hs-varid'>fromValue</span> <span class='hs-varid'>d</span>          <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LogValue</span> <span class='hs-layout'>(</span><span class='hs-varid'>exp</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-79"></a>    <span class='hs-varid'>autoAxis</span>             <span class='hs-keyglyph'>=</span> <span class='hs-varid'>autoScaledLogAxis</span> <span class='hs-varid'>def</span>
<a name="line-80"></a>
<a name="line-81"></a><a name="showDs"></a><span class='hs-comment'>-- | Show a list of axis labels.</span>
<a name="line-82"></a><span class='hs-comment'>-- If some are too big or all are too small, switch to scientific notation for all.</span>
<a name="line-83"></a><span class='hs-comment'>-- If the range is much smaller than the mean, use an offset.</span>
<a name="line-84"></a><span class='hs-comment'>-- TODO: show this offset only once, not on every label.</span>
<a name="line-85"></a><span class='hs-comment'>-- When thinking about improving this function,</span>
<a name="line-86"></a><span class='hs-comment'>-- https://github.com/matplotlib/matplotlib/blob/master/lib/matplotlib/ticker.py</span>
<a name="line-87"></a><span class='hs-comment'>-- is a good read.</span>
<a name="line-88"></a><span class='hs-comment'>--</span>
<a name="line-89"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [0, 1, 2 :: Double]</span>
<a name="line-90"></a><span class='hs-comment'>-- ["0","1","2"]</span>
<a name="line-91"></a><span class='hs-comment'>--</span>
<a name="line-92"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [0, 1000000, 2000000 :: Double]</span>
<a name="line-93"></a><span class='hs-comment'>-- ["0.0e0","1.0e6","2.0e6"]</span>
<a name="line-94"></a><span class='hs-comment'>--</span>
<a name="line-95"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [0, 0.001, 0.002 :: Double]</span>
<a name="line-96"></a><span class='hs-comment'>-- ["0","0.001","0.002"]</span>
<a name="line-97"></a><span class='hs-comment'>--</span>
<a name="line-98"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [-10000000, -1000000, 9000000 :: Double]</span>
<a name="line-99"></a><span class='hs-comment'>-- ["-1.0e7","-1.0e6","9.0e6"]</span>
<a name="line-100"></a><span class='hs-comment'>--</span>
<a name="line-101"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [10, 11, 12 :: Double]</span>
<a name="line-102"></a><span class='hs-comment'>-- ["10","11","12"]</span>
<a name="line-103"></a><span class='hs-comment'>--</span>
<a name="line-104"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [100, 101, 102 :: Double]</span>
<a name="line-105"></a><span class='hs-comment'>-- ["100","101","102"]</span>
<a name="line-106"></a><span class='hs-comment'>--</span>
<a name="line-107"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [100000, 100001, 100002 :: Double]</span>
<a name="line-108"></a><span class='hs-comment'>-- ["100000","100001","100002"]</span>
<a name="line-109"></a><span class='hs-comment'>--</span>
<a name="line-110"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [1000000, 1000001, 1000002 :: Double]</span>
<a name="line-111"></a><span class='hs-comment'>-- ["1.0e6 + 0","1.0e6 + 1","1.0e6 + 2"]</span>
<a name="line-112"></a><span class='hs-comment'>--</span>
<a name="line-113"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [10000000, 10000001, 10000002 :: Double]</span>
<a name="line-114"></a><span class='hs-comment'>-- ["1.0e7 + 0","1.0e7 + 1","1.0e7 + 2"]</span>
<a name="line-115"></a><span class='hs-comment'>--</span>
<a name="line-116"></a><span class='hs-comment'>-- &gt;&gt;&gt; showDs [-10000000, -10000001, -10000002 :: Double]</span>
<a name="line-117"></a><span class='hs-comment'>-- ["-1.0e7 + 2","-1.0e7 + 1","-1.0e7 + 0"]</span>
<a name="line-118"></a><span class='hs-comment'>--</span>
<a name="line-119"></a><span class='hs-comment'>-- prop&gt; let [s0, s1] = showDs [x, x + 1.0 :: Double] in s0 /= s1</span>
<a name="line-120"></a><span class='hs-definition'>showDs</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>d</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conid'>RealFloat</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>d</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>String</span><span class='hs-keyglyph'>]</span>
<a name="line-121"></a><span class='hs-definition'>showDs</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>showWithoutOffset</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span>
<a name="line-122"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>s0</span><span class='hs-conop'>:</span><span class='hs-varid'>others</span><span class='hs-layout'>)</span>
<a name="line-123"></a>    <span class='hs-keyglyph'>|</span> <span class='hs-varid'>anyEqualNeighbor</span> <span class='hs-varid'>s0</span> <span class='hs-varid'>others</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>map</span> <span class='hs-varid'>addShownOffset</span> <span class='hs-varop'>$</span> <span class='hs-varid'>showWithoutOffset</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>x</span> <span class='hs-comment'>-</span> <span class='hs-varid'>offset</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-124"></a>  <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span>
<a name="line-125"></a>  <span class='hs-keyword'>where</span>
<a name="line-126"></a>    <span class='hs-varid'>anyEqualNeighbor</span> <span class='hs-varid'>z0</span> <span class='hs-layout'>(</span><span class='hs-varid'>z1</span><span class='hs-conop'>:</span><span class='hs-varid'>others</span><span class='hs-layout'>)</span>
<a name="line-127"></a>      <span class='hs-keyglyph'>|</span> <span class='hs-varid'>z0</span> <span class='hs-varop'>==</span> <span class='hs-varid'>z1</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-128"></a>      <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>anyEqualNeighbor</span> <span class='hs-varid'>z1</span> <span class='hs-varid'>others</span>
<a name="line-129"></a>    <span class='hs-varid'>anyEqualNeighbor</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-130"></a>
<a name="line-131"></a>    <span class='hs-comment'>-- Use the min for offset. Another good choice could be the mean.</span>
<a name="line-132"></a>    <span class='hs-varid'>offset</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>d</span>
<a name="line-133"></a>    <span class='hs-varid'>offset</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>minimum</span> <span class='hs-varid'>xs</span>
<a name="line-134"></a>    <span class='hs-varid'>shownOffset</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>showWithoutOffset</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>offset</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>of</span>
<a name="line-135"></a>      <span class='hs-keyglyph'>[</span><span class='hs-varid'>r</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-136"></a>      <span class='hs-varid'>rs</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>error</span> <span class='hs-varop'>$</span> <span class='hs-str'>"showDs: shownOffset expected 1 element, got "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>length</span> <span class='hs-varid'>rs</span><span class='hs-layout'>)</span>
<a name="line-137"></a>
<a name="line-138"></a>    <span class='hs-varid'>addShownOffset</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>String</span>
<a name="line-139"></a>    <span class='hs-varid'>addShownOffset</span> <span class='hs-layout'>(</span><span class='hs-chr'>'-'</span><span class='hs-conop'>:</span><span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shownOffset</span> <span class='hs-varop'>++</span> <span class='hs-str'>" - "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>x</span>
<a name="line-140"></a>    <span class='hs-varid'>addShownOffset</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shownOffset</span> <span class='hs-varop'>++</span> <span class='hs-str'>" + "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>x</span>
<a name="line-141"></a>
<a name="line-142"></a><a name="showWithoutOffset"></a><span class='hs-definition'>showWithoutOffset</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>d</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>String</span><span class='hs-keyglyph'>]</span>
<a name="line-143"></a><span class='hs-definition'>showWithoutOffset</span> <span class='hs-varid'>xs</span>
<a name="line-144"></a>  <span class='hs-keyglyph'>|</span> <span class='hs-varid'>useScientificNotation</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'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>showEFloat'</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-145"></a>  <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>showD</span> <span class='hs-varid'>xs</span>
<a name="line-146"></a>  <span class='hs-keyword'>where</span>
<a name="line-147"></a>    <span class='hs-comment'>-- use scientific notation if max value is too big or too small</span>
<a name="line-148"></a>    <span class='hs-varid'>useScientificNotation</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maxAbs</span> <span class='hs-varop'>&gt;=</span> <span class='hs-num'>1e6</span> <span class='hs-varop'>||</span> <span class='hs-varid'>maxAbs</span> <span class='hs-varop'>&lt;=</span> <span class='hs-num'>1e-6</span>
<a name="line-149"></a>    <span class='hs-varid'>maxAbs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maximum</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>abs</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-150"></a>
<a name="line-151"></a>
<a name="line-152"></a><a name="showEFloat'"></a><span class='hs-comment'>-- | Changes the behavior of showEFloat to drop more than one trailings 0.</span>
<a name="line-153"></a><span class='hs-comment'>-- Instead of 1.000e4 you get 1.0e4</span>
<a name="line-154"></a><span class='hs-definition'>showEFloat'</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>d</span> <span class='hs-varop'>.</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Maybe</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>String</span>
<a name="line-155"></a><span class='hs-definition'>showEFloat'</span> <span class='hs-varid'>mdigits</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reverse</span> <span class='hs-varop'>$</span> <span class='hs-varid'>cleanup0</span> <span class='hs-layout'>(</span><span class='hs-varid'>reverse</span> <span class='hs-varid'>shown0</span><span class='hs-layout'>)</span>
<a name="line-156"></a>  <span class='hs-keyword'>where</span>
<a name="line-157"></a>    <span class='hs-varid'>shown0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showEFloat</span> <span class='hs-varid'>mdigits</span> <span class='hs-varid'>x</span> <span class='hs-str'>""</span>
<a name="line-158"></a>
<a name="line-159"></a>    <span class='hs-comment'>-- wait until we get the "e"</span>
<a name="line-160"></a>    <span class='hs-varid'>cleanup0</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>String</span>
<a name="line-161"></a>    <span class='hs-varid'>cleanup0</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-keyglyph'>@</span><span class='hs-chr'>'e'</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e</span><span class='hs-conop'>:</span><span class='hs-varid'>cleanup1</span> <span class='hs-varid'>ys</span>
<a name="line-162"></a>    <span class='hs-varid'>cleanup0</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span> <span class='hs-conop'>:</span> <span class='hs-varid'>cleanup0</span> <span class='hs-varid'>ys</span>
<a name="line-163"></a>    <span class='hs-varid'>cleanup0</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reverse</span> <span class='hs-varid'>shown0</span> <span class='hs-comment'>-- something went wrong, just return the original</span>
<a name="line-164"></a>
<a name="line-165"></a>    <span class='hs-comment'>-- get rid of redundant 0s before the '.'</span>
<a name="line-166"></a>    <span class='hs-varid'>cleanup1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>String</span>
<a name="line-167"></a>    <span class='hs-varid'>cleanup1</span> <span class='hs-layout'>(</span><span class='hs-chr'>'0'</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-chr'>'0'</span><span class='hs-conop'>:</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cleanup1</span> <span class='hs-varid'>ys</span>
<a name="line-168"></a>    <span class='hs-varid'>cleanup1</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span>
<a name="line-169"></a>
<a name="line-170"></a>
<a name="line-171"></a><a name="showD"></a><span class='hs-definition'>showD</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>RealFloat</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>String</span>
<a name="line-172"></a><span class='hs-definition'>showD</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>reverse</span> <span class='hs-varop'>$</span> <span class='hs-varid'>showFFloat</span> <span class='hs-conid'>Nothing</span> <span class='hs-varid'>x</span> <span class='hs-str'>""</span> <span class='hs-keyword'>of</span>
<a name="line-173"></a>            <span class='hs-chr'>'0'</span><span class='hs-conop'>:</span><span class='hs-chr'>'.'</span><span class='hs-conop'>:</span><span class='hs-varid'>r</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>reverse</span> <span class='hs-varid'>r</span>
<a name="line-174"></a>            <span class='hs-varid'>r</span>         <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>reverse</span> <span class='hs-varid'>r</span>
<a name="line-175"></a>
<a name="line-176"></a><a name="LinearAxisParams"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-layout'>{</span>
<a name="line-177"></a>    <span class='hs-comment'>-- | The function used to show the axes labels.</span>
<a name="line-178"></a>    <span class='hs-sel'>_la_labelf</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'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>String</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span>
<a name="line-179"></a>
<a name="line-180"></a>    <span class='hs-comment'>-- | The target number of labels to be shown.</span>
<a name="line-181"></a>    <span class='hs-sel'>_la_nLabels</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span><span class='hs-layout'>,</span>
<a name="line-182"></a>
<a name="line-183"></a>    <span class='hs-comment'>-- | The target number of ticks to be shown.</span>
<a name="line-184"></a>    <span class='hs-sel'>_la_nTicks</span>  <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span>
<a name="line-185"></a><span class='hs-layout'>}</span>
<a name="line-186"></a>
<a name="line-187"></a><a name="instance%20Default%20(LinearAxisParams%20a)"></a><span class='hs-keyword'>instance</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-conid'>RealFloat</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Default</span> <span class='hs-layout'>(</span><span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-188"></a>  <span class='hs-varid'>def</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LinearAxisParams</span> 
<a name="line-189"></a>    <span class='hs-layout'>{</span> <span class='hs-sel'>_la_labelf</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showDs</span>
<a name="line-190"></a>    <span class='hs-layout'>,</span> <span class='hs-sel'>_la_nLabels</span>   <span class='hs-keyglyph'>=</span> <span class='hs-num'>5</span>
<a name="line-191"></a>    <span class='hs-layout'>,</span> <span class='hs-sel'>_la_nTicks</span>    <span class='hs-keyglyph'>=</span> <span class='hs-num'>50</span>
<a name="line-192"></a>    <span class='hs-layout'>}</span>
<a name="line-193"></a>
<a name="line-194"></a><a name="scaledAxis"></a><span class='hs-comment'>-- | Generate a linear axis with the specified bounds</span>
<a name="line-195"></a><span class='hs-definition'>scaledAxis</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</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'>-&gt;</span> <span class='hs-conid'>AxisFn</span> <span class='hs-varid'>a</span>
<a name="line-196"></a><span class='hs-definition'>scaledAxis</span> <span class='hs-varid'>lap</span> <span class='hs-varid'>rs</span><span class='hs-keyglyph'>@</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-varid'>ps0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>makeAxis'</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varid'>realToFrac</span>
<a name="line-197"></a>                                         <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-198"></a>  <span class='hs-keyword'>where</span>
<a name="line-199"></a>    <span class='hs-varid'>ps</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-varid'>isValidNumber</span> <span class='hs-varid'>ps0</span>
<a name="line-200"></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-201"></a>    <span class='hs-varid'>range</span> <span class='hs-keyword'>_</span>   <span class='hs-keyglyph'>|</span> <span class='hs-varid'>minV</span> <span class='hs-varop'>==</span> <span class='hs-varid'>maxV</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>minV</span><span class='hs-varop'>==</span><span class='hs-num'>0</span> <span class='hs-keyword'>then</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-keyword'>else</span>
<a name="line-202"></a>                               <span class='hs-keyword'>let</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abs</span> <span class='hs-layout'>(</span><span class='hs-varid'>minV</span> <span class='hs-varop'>*</span> <span class='hs-num'>0.01</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>minV</span><span class='hs-comment'>-</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span><span class='hs-varid'>maxV</span><span class='hs-varop'>+</span><span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-203"></a>              <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rs</span>
<a name="line-204"></a>    <span class='hs-varid'>labelvs</span>   <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fromRational</span> <span class='hs-varop'>$</span> <span class='hs-varid'>steps</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-layout'>(</span><span class='hs-sel'>_la_nLabels</span> <span class='hs-varid'>lap</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-205"></a>    <span class='hs-varid'>tickvs</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fromRational</span> <span class='hs-varop'>$</span> <span class='hs-varid'>steps</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-layout'>(</span><span class='hs-sel'>_la_nTicks</span> <span class='hs-varid'>lap</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-206"></a>                                         <span class='hs-layout'>(</span><span class='hs-varid'>minimum</span> <span class='hs-varid'>labelvs</span><span class='hs-layout'>,</span><span class='hs-varid'>maximum</span> <span class='hs-varid'>labelvs</span><span class='hs-layout'>)</span>
<a name="line-207"></a>    <span class='hs-varid'>gridvs</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labelvs</span>
<a name="line-208"></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-209"></a>
<a name="line-210"></a><a name="autoScaledAxis"></a><span class='hs-comment'>-- | Generate a linear axis automatically, scaled appropriately for the</span>
<a name="line-211"></a><span class='hs-comment'>-- input data.</span>
<a name="line-212"></a><span class='hs-definition'>autoScaledAxis</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LinearAxisParams</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>AxisFn</span> <span class='hs-varid'>a</span>
<a name="line-213"></a><span class='hs-definition'>autoScaledAxis</span> <span class='hs-varid'>lap</span> <span class='hs-varid'>ps0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>scaledAxis</span> <span class='hs-varid'>lap</span> <span class='hs-varid'>rs</span> <span class='hs-varid'>ps</span>
<a name="line-214"></a>  <span class='hs-keyword'>where</span>
<a name="line-215"></a>    <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-varid'>isValidNumber</span> <span class='hs-varid'>ps0</span>
<a name="line-216"></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-217"></a>
<a name="line-218"></a><a name="steps"></a><span class='hs-definition'>steps</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</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'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span>
<a name="line-219"></a><span class='hs-definition'>steps</span> <span class='hs-varid'>nSteps</span> <span class='hs-varid'>rs</span><span class='hs-keyglyph'>@</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'>map</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-varop'>*</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fromIntegral</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>min'</span> <span class='hs-keyglyph'>..</span> <span class='hs-varid'>max'</span><span class='hs-keyglyph'>]</span>
<a name="line-220"></a>  <span class='hs-keyword'>where</span>
<a name="line-221"></a>    <span class='hs-varid'>s</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>chooseStep</span> <span class='hs-varid'>nSteps</span> <span class='hs-varid'>rs</span>
<a name="line-222"></a>    <span class='hs-varid'>min'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span>
<a name="line-223"></a>    <span class='hs-varid'>min'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>floor</span>   <span class='hs-varop'>$</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varid'>minV</span> <span class='hs-varop'>/</span> <span class='hs-varid'>s</span>
<a name="line-224"></a>    <span class='hs-varid'>max'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ceiling</span> <span class='hs-varop'>$</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varid'>maxV</span> <span class='hs-varop'>/</span> <span class='hs-varid'>s</span>
<a name="line-225"></a>
<a name="line-226"></a><a name="chooseStep"></a><span class='hs-definition'>chooseStep</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</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'>-&gt;</span> <span class='hs-conid'>Rational</span>
<a name="line-227"></a><span class='hs-definition'>chooseStep</span> <span class='hs-varid'>nsteps</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>minimumBy</span> <span class='hs-layout'>(</span><span class='hs-varid'>comparing</span> <span class='hs-varid'>proximity</span><span class='hs-layout'>)</span> <span class='hs-varid'>stepVals</span>
<a name="line-228"></a>  <span class='hs-keyword'>where</span>
<a name="line-229"></a>    <span class='hs-varid'>delta</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x2</span> <span class='hs-comment'>-</span> <span class='hs-varid'>x1</span>
<a name="line-230"></a>    <span class='hs-varid'>mult</span>  <span class='hs-keyglyph'>|</span> <span class='hs-varid'>delta</span> <span class='hs-varop'>==</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span>  <span class='hs-comment'>-- Otherwise the case below will use all of memory</span>
<a name="line-231"></a>          <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>  <span class='hs-keyglyph'>=</span> <span class='hs-num'>10</span> <span class='hs-varop'>^^</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>floor</span> <span class='hs-varop'>$</span> <span class='hs-varid'>log10</span> <span class='hs-varop'>$</span> <span class='hs-varid'>delta</span> <span class='hs-varop'>/</span> <span class='hs-varid'>nsteps</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>::</span><span class='hs-conid'>Integer</span><span class='hs-layout'>)</span>
<a name="line-232"></a>    <span class='hs-varid'>stepVals</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>mult</span><span class='hs-varop'>*</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0.1</span><span class='hs-layout'>,</span><span class='hs-num'>0.2</span><span class='hs-layout'>,</span><span class='hs-num'>0.25</span><span class='hs-layout'>,</span><span class='hs-num'>0.5</span><span class='hs-layout'>,</span><span class='hs-num'>1.0</span><span class='hs-layout'>,</span><span class='hs-num'>2.0</span><span class='hs-layout'>,</span><span class='hs-num'>2.5</span><span class='hs-layout'>,</span><span class='hs-num'>5.0</span><span class='hs-layout'>,</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>
<a name="line-233"></a>    <span class='hs-varid'>proximity</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abs</span> <span class='hs-varop'>$</span> <span class='hs-varid'>delta</span> <span class='hs-varop'>/</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varid'>x</span> <span class='hs-comment'>-</span> <span class='hs-varid'>nsteps</span>
<a name="line-234"></a>
<a name="line-235"></a><a name="autoSteps"></a><span class='hs-comment'>-- | Given a target number of values, and a list of input points,</span>
<a name="line-236"></a><span class='hs-comment'>--   find evenly spaced values from the set {1*X, 2*X, 2.5*X, 5*X} (where</span>
<a name="line-237"></a><span class='hs-comment'>--   X is some power of ten) that evenly cover the input points.</span>
<a name="line-238"></a><span class='hs-definition'>autoSteps</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Double</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Double</span><span class='hs-keyglyph'>]</span>
<a name="line-239"></a><span class='hs-definition'>autoSteps</span> <span class='hs-varid'>nSteps</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fromRational</span> <span class='hs-varop'>$</span> <span class='hs-varid'>steps</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>nSteps</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-240"></a>  <span class='hs-keyword'>where</span>
<a name="line-241"></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-242"></a>    <span class='hs-varid'>range</span> <span class='hs-keyword'>_</span>   <span class='hs-keyglyph'>|</span> <span class='hs-varid'>minV</span> <span class='hs-varop'>==</span> <span class='hs-varid'>maxV</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>minV</span><span class='hs-comment'>-</span><span class='hs-num'>0.5</span><span class='hs-layout'>,</span><span class='hs-varid'>minV</span><span class='hs-varop'>+</span><span class='hs-num'>0.5</span><span class='hs-layout'>)</span>
<a name="line-243"></a>              <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rs</span>
<a name="line-244"></a>    <span class='hs-varid'>rs</span><span class='hs-keyglyph'>@</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-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-245"></a>    <span class='hs-varid'>ps</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-varid'>isValidNumber</span> <span class='hs-varid'>vs</span>
<a name="line-246"></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-247"></a>
<a name="line-248"></a><span class='hs-comment'>----------------------------------------------------------------------</span>
<a name="line-249"></a>
<a name="line-250"></a><a name="instance%20Default%20(LogAxisParams%20a)"></a><span class='hs-keyword'>instance</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-conid'>RealFloat</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Default</span> <span class='hs-layout'>(</span><span class='hs-conid'>LogAxisParams</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-251"></a>  <span class='hs-varid'>def</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LogAxisParams</span> 
<a name="line-252"></a>    <span class='hs-layout'>{</span> <span class='hs-sel'>_loga_labelf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showDs</span>
<a name="line-253"></a>    <span class='hs-layout'>}</span>
<a name="line-254"></a>
<a name="line-255"></a><a name="autoScaledLogAxis"></a><span class='hs-comment'>-- | Generate a log axis automatically, scaled appropriate for the</span>
<a name="line-256"></a><span class='hs-comment'>-- input data.</span>
<a name="line-257"></a><span class='hs-definition'>autoScaledLogAxis</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LogAxisParams</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>AxisFn</span> <span class='hs-varid'>a</span>
<a name="line-258"></a><span class='hs-definition'>autoScaledLogAxis</span> <span class='hs-varid'>lap</span> <span class='hs-varid'>ps0</span> <span class='hs-keyglyph'>=</span>
<a name="line-259"></a>    <span class='hs-varid'>makeAxis'</span> <span class='hs-layout'>(</span><span class='hs-varid'>realToFrac</span> <span class='hs-varop'>.</span> <span class='hs-varid'>log</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>realToFrac</span> <span class='hs-varop'>.</span> <span class='hs-varid'>exp</span><span class='hs-layout'>)</span>
<a name="line-260"></a>              <span class='hs-layout'>(</span><span class='hs-sel'>_loga_labelf</span> <span class='hs-varid'>lap</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>wrap</span> <span class='hs-varid'>rlabelvs</span><span class='hs-layout'>,</span> <span class='hs-varid'>wrap</span> <span class='hs-varid'>rtickvs</span><span class='hs-layout'>,</span> <span class='hs-varid'>wrap</span> <span class='hs-varid'>rgridvs</span><span class='hs-layout'>)</span>
<a name="line-261"></a>        <span class='hs-keyword'>where</span>
<a name="line-262"></a>          <span class='hs-varid'>ps</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>isValidNumber</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&amp;&amp;</span> <span class='hs-num'>0</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varid'>ps0</span>
<a name="line-263"></a>          <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-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-264"></a>          <span class='hs-varid'>wrap</span>      <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fromRational</span>
<a name="line-265"></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'>3</span><span class='hs-layout'>,</span><span class='hs-num'>30</span><span class='hs-layout'>)</span>
<a name="line-266"></a>          <span class='hs-varid'>range</span> <span class='hs-keyword'>_</span>   <span class='hs-keyglyph'>|</span> <span class='hs-varid'>minV</span> <span class='hs-varop'>==</span> <span class='hs-varid'>maxV</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>realToFrac</span> <span class='hs-varop'>$</span> <span class='hs-varid'>minV</span><span class='hs-varop'>/</span><span class='hs-num'>3</span><span class='hs-layout'>,</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varop'>$</span> <span class='hs-varid'>maxV</span><span class='hs-varop'>*</span><span class='hs-num'>3</span><span class='hs-layout'>)</span>
<a name="line-267"></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'>realToFrac</span> <span class='hs-varop'>$</span> <span class='hs-varid'>minV</span><span class='hs-layout'>,</span>   <span class='hs-varid'>realToFrac</span> <span class='hs-varop'>$</span> <span class='hs-varid'>maxV</span><span class='hs-layout'>)</span>
<a name="line-268"></a>          <span class='hs-layout'>(</span><span class='hs-varid'>rlabelvs</span><span class='hs-layout'>,</span> <span class='hs-varid'>rtickvs</span><span class='hs-layout'>,</span> <span class='hs-varid'>rgridvs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>logTicks</span> <span class='hs-layout'>(</span><span class='hs-varid'>range</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span>
<a name="line-269"></a>
<a name="line-270"></a>
<a name="line-271"></a><a name="LogAxisParams"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>LogAxisParams</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LogAxisParams</span> <span class='hs-layout'>{</span>
<a name="line-272"></a>    <span class='hs-comment'>-- | The function used to show the axes labels.</span>
<a name="line-273"></a>    <span class='hs-sel'>_loga_labelf</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'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>String</span><span class='hs-keyglyph'>]</span>
<a name="line-274"></a><span class='hs-layout'>}</span>
<a name="line-275"></a>
<a name="line-276"></a><a name="logTicks"></a><span class='hs-comment'>{-
<a name="line-277"></a> Rules: Do not subdivide between powers of 10 until all powers of 10
<a name="line-278"></a>          get a major ticks.
<a name="line-279"></a>        Do not subdivide between powers of ten as [1,2,4,6,8,10] when
<a name="line-280"></a>          5 gets a major ticks
<a name="line-281"></a>          (ie the major ticks need to be a subset of the minor tick)
<a name="line-282"></a>-}</span>
<a name="line-283"></a><span class='hs-definition'>logTicks</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Range</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-284"></a><span class='hs-definition'>logTicks</span> <span class='hs-layout'>(</span><span class='hs-varid'>low</span><span class='hs-layout'>,</span><span class='hs-varid'>high</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>major</span><span class='hs-layout'>,</span><span class='hs-varid'>minor</span><span class='hs-layout'>,</span><span class='hs-varid'>major</span><span class='hs-layout'>)</span>
<a name="line-285"></a> <span class='hs-keyword'>where</span>
<a name="line-286"></a>  <span class='hs-varid'>pf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integer</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-287"></a>  <span class='hs-varid'>pf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>properFraction</span>
<a name="line-288"></a>
<a name="line-289"></a>  <span class='hs-comment'>-- frac :: (RealFrac a, Integral b) =&gt; a -&gt; (b, a)</span>
<a name="line-290"></a>  <span class='hs-varid'>frac</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integer</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-291"></a>  <span class='hs-varid'>frac</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>|</span> <span class='hs-num'>0</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>b</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>
<a name="line-292"></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'>a</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-293"></a>    <span class='hs-keyword'>where</span>
<a name="line-294"></a>      <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'>properFraction</span> <span class='hs-varid'>x</span>
<a name="line-295"></a>
<a name="line-296"></a>  <span class='hs-varid'>ratio</span>      <span class='hs-keyglyph'>=</span> <span class='hs-varid'>high</span><span class='hs-varop'>/</span><span class='hs-varid'>low</span>
<a name="line-297"></a>  <span class='hs-varid'>lower</span> <span class='hs-varid'>a</span> <span class='hs-varid'>l</span>  <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</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'>frac</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span>
<a name="line-298"></a>               <span class='hs-varid'>maximum</span> <span class='hs-layout'>(</span><span class='hs-num'>1</span><span class='hs-conop'>:</span><span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>log10</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span><span class='hs-varop'>*</span><span class='hs-num'>10</span><span class='hs-varop'>^^</span><span class='hs-varid'>i</span>
<a name="line-299"></a>  <span class='hs-varid'>upper</span> <span class='hs-varid'>a</span> <span class='hs-varid'>l</span>  <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</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'>pf</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span>
<a name="line-300"></a>               <span class='hs-varid'>minimum</span> <span class='hs-layout'>(</span><span class='hs-num'>10</span><span class='hs-conop'>:</span><span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>log10</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span><span class='hs-varop'>*</span><span class='hs-num'>10</span><span class='hs-varop'>^^</span><span class='hs-varid'>i</span>
<a name="line-301"></a>               
<a name="line-302"></a>  <span class='hs-varid'>powers</span>           <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Double</span><span class='hs-layout'>,</span><span class='hs-conid'>Double</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span>
<a name="line-303"></a>  <span class='hs-varid'>powers</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-varid'>l</span>    <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>a</span><span class='hs-varop'>*</span><span class='hs-num'>10</span><span class='hs-varop'>^^</span><span class='hs-varid'>p</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>&lt;-</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'>log10</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>(</span><span class='hs-varid'>ceiling</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Integer</span><span class='hs-keyglyph'>]</span>
<a name="line-304"></a>                                <span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>]</span>
<a name="line-305"></a>  <span class='hs-varid'>midselection</span> <span class='hs-varid'>r</span> <span class='hs-varid'>l</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-varid'>inRange</span> <span class='hs-varid'>r</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>powers</span> <span class='hs-varid'>r</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span>
<a name="line-306"></a>  <span class='hs-varid'>inRange</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-varid'>l</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>lower</span> <span class='hs-varid'>a</span> <span class='hs-varid'>l</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'>&amp;&amp;</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-varop'>&lt;=</span> <span class='hs-varid'>upper</span> <span class='hs-varid'>b</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span>
<a name="line-307"></a>  
<a name="line-308"></a>  <span class='hs-varid'>logRange</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>low</span><span class='hs-layout'>,</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>high</span><span class='hs-layout'>)</span>
<a name="line-309"></a>  
<a name="line-310"></a>  <span class='hs-varid'>roundPow</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>10</span><span class='hs-varop'>^^</span><span class='hs-layout'>(</span><span class='hs-varid'>round</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span><span class='hs-layout'>)</span>
<a name="line-311"></a>  
<a name="line-312"></a>  <span class='hs-varid'>major</span> <span class='hs-keyglyph'>|</span> <span class='hs-num'>17.5</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>roundPow</span> <span class='hs-varop'>$</span>
<a name="line-313"></a>                               <span class='hs-varid'>steps</span> <span class='hs-layout'>(</span><span class='hs-varid'>min</span> <span class='hs-num'>5</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>logRange</span>
<a name="line-314"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>12</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span>   <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>roundPow</span> <span class='hs-varop'>$</span>
<a name="line-315"></a>                               <span class='hs-varid'>steps</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span> <span class='hs-varop'>/</span> <span class='hs-num'>5</span><span class='hs-layout'>)</span> <span class='hs-varid'>logRange</span>
<a name="line-316"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>6</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>roundPow</span> <span class='hs-varop'>$</span>
<a name="line-317"></a>                               <span class='hs-varid'>steps</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span> <span class='hs-varop'>/</span> <span class='hs-num'>2</span><span class='hs-layout'>)</span> <span class='hs-varid'>logRange</span>
<a name="line-318"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>3</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>midselection</span> <span class='hs-layout'>(</span><span class='hs-varid'>low</span><span class='hs-layout'>,</span><span class='hs-varid'>high</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-319"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>20</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>ratio</span>         <span class='hs-keyglyph'>=</span> <span class='hs-varid'>midselection</span> <span class='hs-layout'>(</span><span class='hs-varid'>low</span><span class='hs-layout'>,</span><span class='hs-varid'>high</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>5</span><span class='hs-layout'>,</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-320"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>6</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>ratio</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>midselection</span> <span class='hs-layout'>(</span><span class='hs-varid'>low</span><span class='hs-layout'>,</span><span class='hs-varid'>high</span><span class='hs-layout'>)</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'>4</span><span class='hs-layout'>,</span><span class='hs-num'>6</span><span class='hs-layout'>,</span><span class='hs-num'>8</span><span class='hs-layout'>,</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-321"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>3</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>ratio</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>midselection</span> <span class='hs-layout'>(</span><span class='hs-varid'>low</span><span class='hs-layout'>,</span><span class='hs-varid'>high</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-keyglyph'>..</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-322"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>          <span class='hs-keyglyph'>=</span> <span class='hs-varid'>steps</span> <span class='hs-num'>5</span> <span class='hs-layout'>(</span><span class='hs-varid'>low</span><span class='hs-layout'>,</span><span class='hs-varid'>high</span><span class='hs-layout'>)</span>
<a name="line-323"></a>
<a name="line-324"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>l'</span><span class='hs-layout'>,</span><span class='hs-varid'>h'</span><span class='hs-layout'>)</span>   <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>minimum</span> <span class='hs-varid'>major</span><span class='hs-layout'>,</span> <span class='hs-varid'>maximum</span> <span class='hs-varid'>major</span><span class='hs-layout'>)</span>
<a name="line-325"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>dl'</span><span class='hs-layout'>,</span><span class='hs-varid'>dh'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-varid'>l'</span><span class='hs-layout'>,</span> <span class='hs-varid'>fromRational</span> <span class='hs-varid'>h'</span><span class='hs-layout'>)</span>
<a name="line-326"></a>  <span class='hs-varid'>ratio'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Double</span>
<a name="line-327"></a>  <span class='hs-varid'>ratio'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromRational</span> <span class='hs-layout'>(</span><span class='hs-varid'>h'</span><span class='hs-varop'>/</span><span class='hs-varid'>l'</span><span class='hs-layout'>)</span>
<a name="line-328"></a>  <span class='hs-varid'>filterX</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>l'</span><span class='hs-varop'>&lt;=</span><span class='hs-varid'>x</span> <span class='hs-varop'>&amp;&amp;</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&lt;=</span><span class='hs-varid'>h'</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>powers</span> <span class='hs-layout'>(</span><span class='hs-varid'>dl'</span><span class='hs-layout'>,</span><span class='hs-varid'>dh'</span><span class='hs-layout'>)</span> 
<a name="line-329"></a>  
<a name="line-330"></a>  <span class='hs-varid'>minor</span> <span class='hs-keyglyph'>|</span> <span class='hs-num'>50</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>roundPow</span> <span class='hs-varop'>$</span>
<a name="line-331"></a>                              <span class='hs-varid'>steps</span> <span class='hs-num'>50</span> <span class='hs-layout'>(</span><span class='hs-varid'>log10</span> <span class='hs-varid'>dl'</span><span class='hs-layout'>,</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>dh'</span><span class='hs-layout'>)</span>
<a name="line-332"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>6</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio'</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filterX</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-333"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>3</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>log10</span> <span class='hs-varid'>ratio'</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filterX</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>5</span><span class='hs-layout'>,</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-334"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>6</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>ratio'</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filterX</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-keyglyph'>..</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-335"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-num'>3</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>ratio'</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filterX</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-layout'>,</span><span class='hs-num'>1.2</span><span class='hs-keyglyph'>..</span><span class='hs-num'>10</span><span class='hs-keyglyph'>]</span>
<a name="line-336"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>         <span class='hs-keyglyph'>=</span> <span class='hs-varid'>steps</span> <span class='hs-num'>50</span> <span class='hs-layout'>(</span><span class='hs-varid'>dl'</span><span class='hs-layout'>,</span> <span class='hs-varid'>dh'</span><span class='hs-layout'>)</span>
<a name="line-337"></a>
<a name="line-338"></a>
<a name="line-339"></a><a name="log10"></a><span class='hs-definition'>log10</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Floating</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-340"></a><span class='hs-definition'>log10</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>logBase</span> <span class='hs-num'>10</span>
<a name="line-341"></a>
<a name="line-342"></a><span class='hs-varop'>$</span><span class='hs-layout'>(</span> <span class='hs-varid'>makeLenses</span> <span class='hs-chr'>'</span><span class='hs-chr'>'</span><span class='hs-conid'>LinearAxisParams</span> <span class='hs-layout'>)</span>
<a name="line-343"></a><span class='hs-varop'>$</span><span class='hs-layout'>(</span> <span class='hs-varid'>makeLenses</span> <span class='hs-chr'>'</span><span class='hs-chr'>'</span><span class='hs-conid'>LogAxisParams</span> <span class='hs-layout'>)</span>
</pre></body>
</html>

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