kummerer94 · October 26, 2015 13:37
diff --git a/numpde-5.html b/numpde-5.html
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 <p><span style="color: inherit;" class="MathJax_Preview"></span><span style="" id="MathJax-Element-1-Frame" class="MathJax"><nobr><span style="width: 0.018em; display: inline-block;" role="math" id="MathJax-Span-1" class="math"><span style="display: inline-block; position: relative; width: 0em; height: 0px; font-size: 132%;"><span style="position: absolute; clip: rect(3.842em, 1000em, 4.167em, -1000em); top: -4.004em; left: 0em;"><span id="MathJax-Span-2" class="mrow"></span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.143em; vertical-align: -0.071em;"></span></span></nobr></span><script id="MathJax-Element-1" type="math/tex"> \newcommand{\Laplace}{\mathop{}\!\mathbin\bigtriangleup} </script>
 We want to discretize the following booundary value problem:</p>
 <p><span style="color: inherit;" class="MathJax_Preview"></span><span style="" id="MathJax-Element-2-Frame" class="MathJax"><nobr><span style="width: 6.018em; display: inline-block;" role="math" id="MathJax-Span-3" class="math"><span style="display: inline-block; position: relative; width: 4.545em; height: 0px; font-size: 132%;"><span style="position: absolute; clip: rect(1.34em, 1000em, 2.586em, -1000em); top: -2.219em; left: 0em;"><span id="MathJax-Span-4" class="mrow"><span style="font-family: MathJax_Main;" id="MathJax-Span-5" class="mo">−</span><span style="padding-left: 0.167em;" id="MathJax-Span-6" class="texatom"><span id="MathJax-Span-7" class="mrow"></span></span><span style="height: 0em; vertical-align: 0em; margin-left: -0.167em;" id="MathJax-Span-8" class="mspace"></span><span style="padding-left: 0.167em;" id="MathJax-Span-9" class="texatom"><span id="MathJax-Span-10" class="mrow"><span style="font-family: MathJax_Main;" id="MathJax-Span-11" class="mo">△</span></span></span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-12" class="mi">u</span><span style="font-family: MathJax_Main; padding-left: 0.278em;" id="MathJax-Span-13" class="mo">=</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.278em;" id="MathJax-Span-14" class="mi">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.06em;"></span></span><span style="height: 0em; vertical-align: 0em; width: 0.278em; display: inline-block; overflow: hidden;" id="MathJax-Span-15" class="mspace"></span></span><span style="display: inline-block; width: 0px; height: 2.219em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.359em; vertical-align: -0.342em;"></span></span></nobr></span><script id="MathJax-Element-2" type="math/tex"> -\Laplace u = f \; </script> in <span style="color: inherit;" class="MathJax_Preview"></span><span style="" id="MathJax-Element-3-Frame" class="MathJax"><nobr><span style="width: 3.946em; display: inline-block;" role="math" id="MathJax-Span-16" class="math"><span style="display: inline-block; position: relative; width: 2.976em; height: 0px; font-size: 132%;"><span style="position: absolute; clip: rect(1.168em, 1000em, 2.577em, -1000em); top: -2.165em; left: 0em;"><span id="MathJax-Span-17" class="mrow"><span style="font-family: MathJax_Main;" id="MathJax-Span-18" class="mo">(</span><span style="font-family: MathJax_Main;" id="MathJax-Span-19" class="mn">0</span><span style="font-family: MathJax_Main;" id="MathJax-Span-20" class="mo">,</span><span style="font-family: MathJax_Main; padding-left: 0.167em;" id="MathJax-Span-21" class="mn">1</span><span id="MathJax-Span-22" class="msubsup"><span style="display: inline-block; position: relative; width: 0.818em; height: 0px;"><span style="position: absolute; clip: rect(3.092em, 1000em, 4.417em, -1000em); top: -4.004em; left: 0em;"><span style="font-family: MathJax_Main;" id="MathJax-Span-23" class="mo">)</span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span><span style="position: absolute; top: -4.367em; left: 0.389em;"><span style="font-size: 70.7%; font-family: MathJax_Main;" id="MathJax-Span-24" class="mn">2</span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span></span></span><span style="height: 0em; vertical-align: 0em; width: 0.278em; display: inline-block; overflow: hidden;" id="MathJax-Span-25" class="mspace"></span></span><span style="display: inline-block; width: 0px; height: 2.165em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.574em; vertical-align: -0.401em;"></span></span></nobr></span><script id="MathJax-Element-3" type="math/tex"> (0,1)^2 \; </script>, <span style="color: inherit;" class="MathJax_Preview"></span><span style="" id="MathJax-Element-4-Frame" class="MathJax"><nobr><span style="width: 5.446em; display: inline-block;" role="math" id="MathJax-Span-26" class="math"><span style="display: inline-block; position: relative; width: 4.113em; height: 0px; font-size: 132%;"><span style="position: absolute; clip: rect(1.362em, 1000em, 2.575em, -1000em); top: -2.219em; left: 0em;"><span id="MathJax-Span-27" class="mrow"><span style="height: 0em; vertical-align: 0em; width: 0.278em; display: inline-block; overflow: hidden;" id="MathJax-Span-28" class="mspace"></span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-29" class="mi">u</span><span style="padding-left: 0.278em;" id="MathJax-Span-30" class="msubsup"><span style="display: inline-block; position: relative; width: 1.403em; height: 0px;"><span style="position: absolute; clip: rect(3.148em, 1000em, 4.361em, -1000em); top: -4.004em; left: 0em;"><span style="font-family: MathJax_AMS;" id="MathJax-Span-31" class="mo">↾</span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span><span style="position: absolute; top: -3.843em; left: 0.417em;"><span id="MathJax-Span-32" class="texatom"><span id="MathJax-Span-33" class="mrow"><span style="font-size: 70.7%; font-family: MathJax_Main;" id="MathJax-Span-34" class="mi">∂<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.025em;"></span></span><span style="font-size: 70.7%; font-family: MathJax_Main;" id="MathJax-Span-35" class="mi">Ω</span></span></span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span></span></span><span style="font-family: MathJax_Main;" id="MathJax-Span-36" class="mo">=</span><span style="font-family: MathJax_Main; padding-left: 0.278em;" id="MathJax-Span-37" class="mn">0</span></span><span style="display: inline-block; width: 0px; height: 2.219em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.315em; vertical-align: -0.328em;"></span></span></nobr></span><script id="MathJax-Element-4" type="math/tex"> \; u\restriction_{\partial\Omega} = 0 </script></p>
 <p>We approximate:</p>
 <span style="color: inherit;" class="MathJax_Preview"></span><div style="text-align: center;" class="MathJax_Display"><span style="" id="MathJax-Element-5-Frame" class="MathJax"><nobr><span style="width: 44.375em; display: inline-block;" role="math" id="MathJax-Span-38" class="math"><span style="display: inline-block; position: relative; width: 33.604em; height: 0px; font-size: 132%;"><span style="position: absolute; clip: rect(1.172em, 1000em, 2.631em, -1000em); top: -2.219em; left: 0em;"><span id="MathJax-Span-39" class="mrow"><span style="font-family: MathJax_Main;" id="MathJax-Span-40" class="mo">−</span><span id="MathJax-Span-41" class="msubsup"><span style="display: inline-block; position: relative; width: 1.005em; height: 0px;"><span style="position: absolute; clip: rect(3.148em, 1000em, 4.178em, -1000em); top: -4.004em; left: 0em;"><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-42" class="mi">h</span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span><span style="position: absolute; top: -4.417em; left: 0.576em;"><span style="font-size: 70.7%; font-family: MathJax_Main;" id="MathJax-Span-43" class="mn">2</span><span style="display: inline-block; width: 0px; height: 4.004em;"></span></span></span></span><span style="padding-left: 0.167em;" id="MathJax-Span-44" class="texatom"><span id="MathJax-Span-45" class="mrow"></span></span><span style="height: 0em; vertical-align: 0em; margin-left: -0.167em;" id="MathJax-Span-46" class="mspace"></span><span style="padding-left: 0.167em;" id="MathJax-Span-47" class="texatom"><span id="MathJax-Span-48" class="mrow"><span style="font-family: MathJax_Main;" id="MathJax-Span-49" class="mo">△</span></span></span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-50" class="mi">u</span><span style="font-family: MathJax_Main;" id="MathJax-Span-51" class="mo">(</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-52" class="mi">x</span><span style="font-family: MathJax_Main;" id="MathJax-Span-53" class="mo">,</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.167em;" id="MathJax-Span-54" class="mi">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.006em;"></span></span><span style="font-family: MathJax_Main;" id="MathJax-Span-55" class="mo">)</span><span style="font-family: MathJax_Main; padding-left: 0.278em;" id="MathJax-Span-56" class="mo">≈</span><span style="font-family: MathJax_Main; padding-left: 0.278em;" id="MathJax-Span-57" class="mn">4</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-58" class="mi">u</span><span style="font-family: MathJax_Main;" id="MathJax-Span-59" class="mo">(</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-60" class="mi">x</span><span style="font-family: MathJax_Main;" id="MathJax-Span-61" class="mo">,</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.167em;" id="MathJax-Span-62" class="mi">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.006em;"></span></span><span style="font-family: MathJax_Main;" id="MathJax-Span-63" class="mo">)</span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-64" class="mo">−</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-65" class="mi">u</span><span style="font-family: MathJax_Main;" id="MathJax-Span-66" class="mo">(</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-67" class="mi">x</span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-68" class="mo">−</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-69" class="mi">h</span><span style="font-family: MathJax_Main;" id="MathJax-Span-70" class="mo">,</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.167em;" id="MathJax-Span-71" class="mi">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.006em;"></span></span><span style="font-family: MathJax_Main;" id="MathJax-Span-72" class="mo">)</span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-73" class="mo">−</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-74" class="mi">u</span><span style="font-family: MathJax_Main;" id="MathJax-Span-75" class="mo">(</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-76" class="mi">x</span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-77" class="mo">+</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-78" class="mi">h</span><span style="font-family: MathJax_Main;" id="MathJax-Span-79" class="mo">,</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.167em;" id="MathJax-Span-80" class="mi">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.006em;"></span></span><span style="font-family: MathJax_Main;" id="MathJax-Span-81" class="mo">)</span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-82" class="mo">−</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-83" class="mi">u</span><span style="font-family: MathJax_Main;" id="MathJax-Span-84" class="mo">(</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-85" class="mi">x</span><span style="font-family: MathJax_Main;" id="MathJax-Span-86" class="mo">,</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.167em;" id="MathJax-Span-87" class="mi">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.006em;"></span></span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-88" class="mo">−</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-89" class="mi">h</span><span style="font-family: MathJax_Main;" id="MathJax-Span-90" class="mo">)</span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-91" class="mo">−</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-92" class="mi">u</span><span style="font-family: MathJax_Main;" id="MathJax-Span-93" class="mo">(</span><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-94" class="mi">x</span><span style="font-family: MathJax_Main;" id="MathJax-Span-95" class="mo">,</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.167em;" id="MathJax-Span-96" class="mi">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.006em;"></span></span><span style="font-family: MathJax_Main; padding-left: 0.222em;" id="MathJax-Span-97" class="mo">+</span><span style="font-family: MathJax_Math; font-style: italic; padding-left: 0.222em;" id="MathJax-Span-98" class="mi">h</span><span style="font-family: MathJax_Main;" id="MathJax-Span-99" class="mo">)</span></span><span style="display: inline-block; width: 0px; height: 2.219em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.64em; vertical-align: -0.401em;"></span></span></nobr></span></div><script id="MathJax-Element-5" type="math/tex; mode=display"> -h^2 \Laplace u(x,y) \approx 4u(x,y) - u(x-h, y) - u(x+h,y) - u(x,y-h) - u(x,y+h) </script>
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 <p>We first write an efficient way to create the sparse matrix A for the
 discretized operator with arbitrary grid size (number of grid points) <span style="color: inherit;" class="MathJax_Preview"></span><span style="" id="MathJax-Element-6-Frame" class="MathJax"><nobr><span style="width: 0.804em; display: inline-block;" role="math" id="MathJax-Span-100" class="math"><span style="display: inline-block; position: relative; width: 0.595em; height: 0px; font-size: 132%;"><span style="position: absolute; clip: rect(1.614em, 1000em, 2.392em, -1000em); top: -2.219em; left: 0em;"><span id="MathJax-Span-101" class="mrow"><span style="font-family: MathJax_Math; font-style: italic;" id="MathJax-Span-102" class="mi">n</span></span><span style="display: inline-block; width: 0px; height: 2.219em;"></span></span></span><span style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.741em; vertical-align: -0.086em;"></span></span></nobr></span><script id="MathJax-Element-6" type="math/tex"> n </script>.</p>

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 <div class=" highlight hl-julia"><pre><span class="c"># This will create a sparse matrix A </span>
 <span class="c"># for the discretization of the Laplacian.</span>
 <span class="c"># It will use n^2 grid points.</span>
 <span class="c"># The resulting matrix will be of size </span>
 <span class="k">function</span><span class="nf"> setupA</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
    <span class="n">A</span> <span class="o">=</span> <span class="n">spdiagm</span><span class="p">((</span><span class="o">-</span><span class="mi">1</span><span class="o">*</span><span class="n">ones</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">),</span> <span class="mi">4</span><span class="o">*</span><span class="n">ones</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">n</span><span class="p">),</span> <span class="o">-</span><span class="mi">1</span><span class="o">*</span><span class="n">ones</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">)),</span> <span class="p">[</span><span class="o">-</span><span class="mi">1</span> <span class="mi">0</span> <span class="mi">1</span><span class="p">]);</span>
    <span class="n">I_m</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span><span class="o">*</span><span class="n">eye</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="n">n</span><span class="p">);</span>
    <span class="n">minor</span> <span class="o">=</span> <span class="n">spdiagm</span><span class="p">((</span><span class="n">ones</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">),</span><span class="n">ones</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">)),</span> <span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">])</span>
    <span class="n">A</span> <span class="o">=</span> <span class="n">kron</span><span class="p">(</span><span class="n">minor</span><span class="p">,</span><span class="n">I_m</span><span class="p">)</span> <span class="o">+</span> <span class="n">kron</span><span class="p">(</span><span class="n">eye</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="n">n</span><span class="p">),</span> <span class="n">A</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">A</span>
 <span class="k">end</span>
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 <pre>setupA (generic function with 1 method)</pre>
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 <div class=" highlight hl-julia"><pre><span class="c"># Spy plot</span>
 <span class="k">using</span> <span class="n">Compose</span><span class="p">,</span> <span class="n">Gadfly</span>
 <span class="n">spy</span><span class="p">(</span><span class="n">setupA</span><span class="p">(</span><span class="mi">5</span><span class="p">),</span> <span class="n">Geom</span><span class="o">.</span><span class="n">point</span><span class="p">)</span>
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 </script>
 <script> 

 (function (glob, factory) {
    // AMD support
    if (typeof define === "function" &amp;&amp; define.amd) {
        // Define as an anonymous module
        define("Gadfly", ["Snap.svg"], function (Snap) {
            return factory(Snap);
        });
    } else {
        // Browser globals (glob is window)
        // Snap adds itself to window
        glob.Gadfly = factory(glob.Snap);
    }
 }(this, function (Snap) {

 var Gadfly = {};

 // Get an x/y coordinate value in pixels
 var xPX = function(fig, x) {
    var client_box = fig.node.getBoundingClientRect();
    return x * fig.node.viewBox.baseVal.width / client_box.width;
 };

 var yPX = function(fig, y) {
    var client_box = fig.node.getBoundingClientRect();
    return y * fig.node.viewBox.baseVal.height / client_box.height;
 };


 Snap.plugin(function (Snap, Element, Paper, global) {
    // Traverse upwards from a snap element to find and return the first
    // note with the "plotroot" class.
    Element.prototype.plotroot = function () {
        var element = this;
        while (!element.hasClass("plotroot") &amp;&amp; element.parent() != null) {
            element = element.parent();
        }
        return element;
    };

    Element.prototype.svgroot = function () {
        var element = this;
        while (element.node.nodeName != "svg" &amp;&amp; element.parent() != null) {
            element = element.parent();
        }
        return element;
    };

    Element.prototype.plotbounds = function () {
        var root = this.plotroot()
        var bbox = root.select(".guide.background").node.getBBox();
        return {
            x0: bbox.x,
            x1: bbox.x + bbox.width,
            y0: bbox.y,
            y1: bbox.y + bbox.height
        };
    };

    Element.prototype.plotcenter = function () {
        var root = this.plotroot()
        var bbox = root.select(".guide.background").node.getBBox();
        return {
            x: bbox.x + bbox.width / 2,
            y: bbox.y + bbox.height / 2
        };
    };

    // Emulate IE style mouseenter/mouseleave events, since Microsoft always
    // does everything right.
    // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/
    var events = ["mouseenter", "mouseleave"];

    for (i in events) {
        (function (event_name) {
            var event_name = events[i];
            Element.prototype[event_name] = function (fn, scope) {
                if (Snap.is(fn, "function")) {
                    var fn2 = function (event) {
                        if (event.type != "mouseover" &amp;&amp; event.type != "mouseout") {
                            return;
                        }

                        var reltg = event.relatedTarget ? event.relatedTarget :
                            event.type == "mouseout" ? event.toElement : event.fromElement;
                        while (reltg &amp;&amp; reltg != this.node) reltg = reltg.parentNode;

                        if (reltg != this.node) {
                            return fn.apply(this, event);
                        }
                    };

                    if (event_name == "mouseenter") {
                        this.mouseover(fn2, scope);
                    } else {
                        this.mouseout(fn2, scope);
                    }
                }
                return this;
            };
        })(events[i]);
    }


    Element.prototype.mousewheel = function (fn, scope) {
        if (Snap.is(fn, "function")) {
            var el = this;
            var fn2 = function (event) {
                fn.apply(el, [event]);
            };
        }

        this.node.addEventListener(
            /Firefox/i.test(navigator.userAgent) ? "DOMMouseScroll" : "mousewheel",
            fn2);

        return this;
    };


    // Snap's attr function can be too slow for things like panning/zooming.
    // This is a function to directly update element attributes without going
    // through eve.
    Element.prototype.attribute = function(key, val) {
        if (val === undefined) {
            return this.node.getAttribute(key);
        } else {
            this.node.setAttribute(key, val);
            return this;
        }
    };

    Element.prototype.init_gadfly = function() {
        this.mouseenter(Gadfly.plot_mouseover)
            .mouseleave(Gadfly.plot_mouseout)
            .dblclick(Gadfly.plot_dblclick)
            .mousewheel(Gadfly.guide_background_scroll)
            .drag(Gadfly.guide_background_drag_onmove,
                  Gadfly.guide_background_drag_onstart,
                  Gadfly.guide_background_drag_onend);
        this.mouseenter(function (event)&nbsp;{
            init_pan_zoom(this.plotroot());
        });
        return this;
    };
 });


 // When the plot is moused over, emphasize the grid lines.
 Gadfly.plot_mouseover = function(event) {
    var root = this.plotroot();

    var keyboard_zoom = function(event) {
        if (event.which == 187) { // plus
            increase_zoom_by_position(root, 0.1, true);
        } else if (event.which == 189) { // minus
            increase_zoom_by_position(root, -0.1, true);
        }
    };
    root.data("keyboard_zoom", keyboard_zoom);
    window.addEventListener("keyup", keyboard_zoom);

    var xgridlines = root.select(".xgridlines"),
        ygridlines = root.select(".ygridlines");

    xgridlines.data("unfocused_strokedash",
                    xgridlines.attribute("stroke-dasharray").replace(/(\d)(,|$)/g, "$1mm$2"));
    ygridlines.data("unfocused_strokedash",
                    ygridlines.attribute("stroke-dasharray").replace(/(\d)(,|$)/g, "$1mm$2"));

    // emphasize grid lines
    var destcolor = root.data("focused_xgrid_color");
    xgridlines.attribute("stroke-dasharray", "none")
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    destcolor = root.data("focused_ygrid_color");
    ygridlines.attribute("stroke-dasharray", "none")
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    // reveal zoom slider
    root.select(".zoomslider")
        .animate({opacity: 1.0}, 250);
 };

 // Reset pan and zoom on double click
 Gadfly.plot_dblclick = function(event) {
  set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0);
 };

 // Unemphasize grid lines on mouse out.
 Gadfly.plot_mouseout = function(event) {
    var root = this.plotroot();

    window.removeEventListener("keyup", root.data("keyboard_zoom"));
    root.data("keyboard_zoom", undefined);

    var xgridlines = root.select(".xgridlines"),
        ygridlines = root.select(".ygridlines");

    var destcolor = root.data("unfocused_xgrid_color");

    xgridlines.attribute("stroke-dasharray", xgridlines.data("unfocused_strokedash"))
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    destcolor = root.data("unfocused_ygrid_color");
    ygridlines.attribute("stroke-dasharray", ygridlines.data("unfocused_strokedash"))
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    // hide zoom slider
    root.select(".zoomslider")
        .animate({opacity: 0.0}, 250);
 };


 var set_geometry_transform = function(root, tx, ty, scale) {
    var xscalable = root.hasClass("xscalable"),
        yscalable = root.hasClass("yscalable");

    var old_scale = root.data("scale");

    var xscale = xscalable ? scale : 1.0,
        yscale = yscalable ? scale : 1.0;

    tx = xscalable ? tx : 0.0;
    ty = yscalable ? ty : 0.0;

    var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);

    root.selectAll(".geometry, image")
        .forEach(function (element, i) {
            element.transform(t);
        });

    bounds = root.plotbounds();

    if (yscalable) {
        var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);
        root.selectAll(".xfixed")
            .forEach(function (element, i) {
                element.transform(xfixed_t);
            });

        root.select(".ylabels")
            .transform(xfixed_t)
            .selectAll("text")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var cx = element.asPX("x"),
                        cy = element.asPX("y");
                    var st = element.data("static_transform");
                    unscale_t = new Snap.Matrix();
                    unscale_t.scale(1, 1/scale, cx, cy).add(st);
                    element.transform(unscale_t);

                    var y = cy * scale + ty;
                    element.attr("visibility",
                        bounds.y0 &lt;= y &amp;&amp; y &lt;= bounds.y1 ? "visible" : "hidden");
                }
            });
    }

    if (xscalable) {
        var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);
        var xtrans = new Snap.Matrix().translate(tx, 0);
        root.selectAll(".yfixed")
            .forEach(function (element, i) {
                element.transform(yfixed_t);
            });

        root.select(".xlabels")
            .transform(yfixed_t)
            .selectAll("text")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var cx = element.asPX("x"),
                        cy = element.asPX("y");
                    var st = element.data("static_transform");
                    unscale_t = new Snap.Matrix();
                    unscale_t.scale(1/scale, 1, cx, cy).add(st);

                    element.transform(unscale_t);

                    var x = cx * scale + tx;
                    element.attr("visibility",
                        bounds.x0 &lt;= x &amp;&amp; x &lt;= bounds.x1 ? "visible" : "hidden");
                    }
            });
    }

    // we must unscale anything that is scale invariance: widths, raiduses, etc.
    var size_attribs = ["font-size"];
    var unscaled_selection = ".geometry, .geometry *";
    if (xscalable) {
        size_attribs.push("rx");
        unscaled_selection += ", .xgridlines";
    }
    if (yscalable) {
        size_attribs.push("ry");
        unscaled_selection += ", .ygridlines";
    }

    root.selectAll(unscaled_selection)
        .forEach(function (element, i) {
            // circle need special help
            if (element.node.nodeName == "circle") {
                var cx = element.attribute("cx"),
                    cy = element.attribute("cy");
                unscale_t = new Snap.Matrix().scale(1/xscale, 1/yscale,
                                                        cx, cy);
                element.transform(unscale_t);
                return;
            }

            for (i in size_attribs) {
                var key = size_attribs[i];
                var val = parseFloat(element.attribute(key));
                if (val !== undefined &amp;&amp; val != 0 &amp;&amp; !isNaN(val)) {
                    element.attribute(key, val * old_scale / scale);
                }
            }
        });
 };


 // Find the most appropriate tick scale and update label visibility.
 var update_tickscale = function(root, scale, axis) {
    if (!root.hasClass(axis + "scalable")) return;

    var tickscales = root.data(axis + "tickscales");
    var best_tickscale = 1.0;
    var best_tickscale_dist = Infinity;
    for (tickscale in tickscales) {
        var dist = Math.abs(Math.log(tickscale) - Math.log(scale));
        if (dist &lt; best_tickscale_dist) {
            best_tickscale_dist = dist;
            best_tickscale = tickscale;
        }
    }

    if (best_tickscale != root.data(axis + "tickscale")) {
        root.data(axis + "tickscale", best_tickscale);
        var mark_inscale_gridlines = function (element, i) {
            var inscale = element.attr("gadfly:scale") == best_tickscale;
            element.attribute("gadfly:inscale", inscale);
            element.attr("visibility", inscale ? "visible" : "hidden");
        };

        var mark_inscale_labels = function (element, i) {
            var inscale = element.attr("gadfly:scale") == best_tickscale;
            element.attribute("gadfly:inscale", inscale);
            element.attr("visibility", inscale ? "visible" : "hidden");
        };

        root.select("." + axis + "gridlines").selectAll("path").forEach(mark_inscale_gridlines);
        root.select("." + axis + "labels").selectAll("text").forEach(mark_inscale_labels);
    }
 };


 var set_plot_pan_zoom = function(root, tx, ty, scale) {
    var old_scale = root.data("scale");
    var bounds = root.plotbounds();

    var width = bounds.x1 - bounds.x0,
        height = bounds.y1 - bounds.y0;

    // compute the viewport derived from tx, ty, and scale
    var x_min = -width * scale - (scale * width - width),
        x_max = width * scale,
        y_min = -height * scale - (scale * height - height),
        y_max = height * scale;

    var x0 = bounds.x0 - scale * bounds.x0,
        y0 = bounds.y0 - scale * bounds.y0;

    var tx = Math.max(Math.min(tx - x0, x_max), x_min),
        ty = Math.max(Math.min(ty - y0, y_max), y_min);

    tx += x0;
    ty += y0;

    // when the scale change, we may need to alter which set of
    // ticks is being displayed
    if (scale != old_scale) {
        update_tickscale(root, scale, "x");
        update_tickscale(root, scale, "y");
    }

    set_geometry_transform(root, tx, ty, scale);

    root.data("scale", scale);
    root.data("tx", tx);
    root.data("ty", ty);
 };


 var scale_centered_translation = function(root, scale) {
    var bounds = root.plotbounds();

    var width = bounds.x1 - bounds.x0,
        height = bounds.y1 - bounds.y0;

    var tx0 = root.data("tx"),
        ty0 = root.data("ty");

    var scale0 = root.data("scale");

    // how off from center the current view is
    var xoff = tx0 - (bounds.x0 * (1 - scale0) + (width * (1 - scale0)) / 2),
        yoff = ty0 - (bounds.y0 * (1 - scale0) + (height * (1 - scale0)) / 2);

    // rescale offsets
    xoff = xoff * scale / scale0;
    yoff = yoff * scale / scale0;

    // adjust for the panel position being scaled
    var x_edge_adjust = bounds.x0 * (1 - scale),
        y_edge_adjust = bounds.y0 * (1 - scale);

    return {
        x: xoff + x_edge_adjust + (width - width * scale) / 2,
        y: yoff + y_edge_adjust + (height - height * scale) / 2
    };
 };


 // Initialize data for panning zooming if it isn't already.
 var init_pan_zoom = function(root) {
    if (root.data("zoompan-ready")) {
        return;
    }

    // The non-scaling-stroke trick. Rather than try to correct for the
    // stroke-width when zooming, we force it to a fixed value.
    var px_per_mm = root.node.getCTM().a;

    // Drag events report deltas in pixels, which we'd like to convert to
    // millimeters.
    root.data("px_per_mm", px_per_mm);

    root.selectAll("path")
        .forEach(function (element, i) {
        sw = element.asPX("stroke-width") * px_per_mm;
        if (sw &gt; 0) {
            element.attribute("stroke-width", sw);
            element.attribute("vector-effect", "non-scaling-stroke");
        }
    });

    // Store ticks labels original tranformation
    root.selectAll(".xlabels &gt; text, .ylabels &gt; text")
        .forEach(function (element, i) {
            var lm = element.transform().localMatrix;
            element.data("static_transform",
                new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));
        });

    var xgridlines = root.select(".xgridlines");
    var ygridlines = root.select(".ygridlines");
    var xlabels = root.select(".xlabels");
    var ylabels = root.select(".ylabels");

    if (root.data("tx") === undefined) root.data("tx", 0);
    if (root.data("ty") === undefined) root.data("ty", 0);
    if (root.data("scale") === undefined) root.data("scale", 1.0);
    if (root.data("xtickscales") === undefined) {

        // index all the tick scales that are listed
        var xtickscales = {};
        var ytickscales = {};
        var add_x_tick_scales = function (element, i) {
            xtickscales[element.attribute("gadfly:scale")] = true;
        };
        var add_y_tick_scales = function (element, i) {
            ytickscales[element.attribute("gadfly:scale")] = true;
        };

        if (xgridlines) xgridlines.selectAll("path").forEach(add_x_tick_scales);
        if (ygridlines) ygridlines.selectAll("path").forEach(add_y_tick_scales);
        if (xlabels) xlabels.selectAll("text").forEach(add_x_tick_scales);
        if (ylabels) ylabels.selectAll("text").forEach(add_y_tick_scales);

        root.data("xtickscales", xtickscales);
        root.data("ytickscales", ytickscales);
        root.data("xtickscale", 1.0);
    }

    var min_scale = 1.0, max_scale = 1.0;
    for (scale in xtickscales) {
        min_scale = Math.min(min_scale, scale);
        max_scale = Math.max(max_scale, scale);
    }
    for (scale in ytickscales) {
        min_scale = Math.min(min_scale, scale);
        max_scale = Math.max(max_scale, scale);
    }
    root.data("min_scale", min_scale);
    root.data("max_scale", max_scale);

    // store the original positions of labels
    if (xlabels) {
        xlabels.selectAll("text")
               .forEach(function (element, i) {
                   element.data("x", element.asPX("x"));
               });
    }

    if (ylabels) {
        ylabels.selectAll("text")
               .forEach(function (element, i) {
                   element.data("y", element.asPX("y"));
               });
    }

    // mark grid lines and ticks as in or out of scale.
    var mark_inscale = function (element, i) {
        element.attribute("gadfly:inscale", element.attribute("gadfly:scale") == 1.0);
    };

    if (xgridlines) xgridlines.selectAll("path").forEach(mark_inscale);
    if (ygridlines) ygridlines.selectAll("path").forEach(mark_inscale);
    if (xlabels) xlabels.selectAll("text").forEach(mark_inscale);
    if (ylabels) ylabels.selectAll("text").forEach(mark_inscale);

    // figure out the upper ond lower bounds on panning using the maximum
    // and minum grid lines
    var bounds = root.plotbounds();
    var pan_bounds = {
        x0: 0.0,
        y0: 0.0,
        x1: 0.0,
        y1: 0.0
    };

    if (xgridlines) {
        xgridlines
            .selectAll("path")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var bbox = element.node.getBBox();
                    if (bounds.x1 - bbox.x &lt; pan_bounds.x0) {
                        pan_bounds.x0 = bounds.x1 - bbox.x;
                    }
                    if (bounds.x0 - bbox.x &gt; pan_bounds.x1) {
                        pan_bounds.x1 = bounds.x0 - bbox.x;
                    }
                    element.attr("visibility", "visible");
                }
            });
    }

    if (ygridlines) {
        ygridlines
            .selectAll("path")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var bbox = element.node.getBBox();
                    if (bounds.y1 - bbox.y &lt; pan_bounds.y0) {
                        pan_bounds.y0 = bounds.y1 - bbox.y;
                    }
                    if (bounds.y0 - bbox.y &gt; pan_bounds.y1) {
                        pan_bounds.y1 = bounds.y0 - bbox.y;
                    }
                    element.attr("visibility", "visible");
                }
            });
    }

    // nudge these values a little
    pan_bounds.x0 -= 5;
    pan_bounds.x1 += 5;
    pan_bounds.y0 -= 5;
    pan_bounds.y1 += 5;
    root.data("pan_bounds", pan_bounds);

    root.data("zoompan-ready", true)
 };


 // drag actions, i.e. zooming and panning
 var pan_action = {
    start: function(root, x, y, event) {
        root.data("dx", 0);
        root.data("dy", 0);
        root.data("tx0", root.data("tx"));
        root.data("ty0", root.data("ty"));
    },
    update: function(root, dx, dy, x, y, event) {
        var px_per_mm = root.data("px_per_mm");
        dx /= px_per_mm;
        dy /= px_per_mm;

        var tx0 = root.data("tx"),
            ty0 = root.data("ty");

        var dx0 = root.data("dx"),
            dy0 = root.data("dy");

        root.data("dx", dx);
        root.data("dy", dy);

        dx = dx - dx0;
        dy = dy - dy0;

        var tx = tx0 + dx,
            ty = ty0 + dy;

        set_plot_pan_zoom(root, tx, ty, root.data("scale"));
    },
    end: function(root, event) {

    },
    cancel: function(root) {
        set_plot_pan_zoom(root, root.data("tx0"), root.data("ty0"), root.data("scale"));
    }
 };

 var zoom_box;
 var zoom_action = {
    start: function(root, x, y, event) {
        var bounds = root.plotbounds();
        var width = bounds.x1 - bounds.x0,
            height = bounds.y1 - bounds.y0;
        var ratio = width / height;
        var xscalable = root.hasClass("xscalable"),
            yscalable = root.hasClass("yscalable");
        var px_per_mm = root.data("px_per_mm");
        x = xscalable ? x / px_per_mm : bounds.x0;
        y = yscalable ? y / px_per_mm : bounds.y0;
        var w = xscalable ? 0 : width;
        var h = yscalable ? 0 : height;
        zoom_box = root.rect(x, y, w, h).attr({
            "fill": "#000",
            "opacity": 0.25
        });
        zoom_box.data("ratio", ratio);
    },
    update: function(root, dx, dy, x, y, event) {
        var xscalable = root.hasClass("xscalable"),
            yscalable = root.hasClass("yscalable");
        var px_per_mm = root.data("px_per_mm");
        var bounds = root.plotbounds();
        if (yscalable) {
            y /= px_per_mm;
            y = Math.max(bounds.y0, y);
            y = Math.min(bounds.y1, y);
        } else {
            y = bounds.y1;
        }
        if (xscalable) {
            x /= px_per_mm;
            x = Math.max(bounds.x0, x);
            x = Math.min(bounds.x1, x);
        } else {
            x = bounds.x1;
        }

        dx = x - zoom_box.attr("x");
        dy = y - zoom_box.attr("y");
        if (xscalable &amp;&amp; yscalable) {
            var ratio = zoom_box.data("ratio");
            var width = Math.min(Math.abs(dx), ratio * Math.abs(dy));
            var height = Math.min(Math.abs(dy), Math.abs(dx) / ratio);
            dx = width * dx / Math.abs(dx);
            dy = height * dy / Math.abs(dy);
        }
        var xoffset = 0,
            yoffset = 0;
        if (dx &lt; 0) {
            xoffset = dx;
            dx = -1 * dx;
        }
        if (dy &lt; 0) {
            yoffset = dy;
            dy = -1 * dy;
        }
        if (isNaN(dy)) {
            dy = 0.0;
        }
        if (isNaN(dx)) {
            dx = 0.0;
        }
        zoom_box.transform("T" + xoffset + "," + yoffset);
        zoom_box.attr("width", dx);
        zoom_box.attr("height", dy);
    },
    end: function(root, event) {
        var xscalable = root.hasClass("xscalable"),
            yscalable = root.hasClass("yscalable");
        var zoom_bounds = zoom_box.getBBox();
        if (zoom_bounds.width * zoom_bounds.height &lt;= 0) {
            return;
        }
        var plot_bounds = root.plotbounds();
        var zoom_factor = 1.0;
        if (yscalable) {
            zoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;
        } else {
            zoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;
        }
        var tx = (root.data("tx") - zoom_bounds.x) * zoom_factor + plot_bounds.x0,
            ty = (root.data("ty") - zoom_bounds.y) * zoom_factor + plot_bounds.y0;
        set_plot_pan_zoom(root, tx, ty, root.data("scale") * zoom_factor);
        zoom_box.remove();
    },
    cancel: function(root) {
        zoom_box.remove();
    }
 };


 Gadfly.guide_background_drag_onstart = function(x, y, event) {
    var root = this.plotroot();
    var scalable = root.hasClass("xscalable") || root.hasClass("yscalable");
    var zoomable = !event.altKey &amp;&amp; !event.ctrlKey &amp;&amp; event.shiftKey &amp;&amp; scalable;
    var panable = !event.altKey &amp;&amp; !event.ctrlKey &amp;&amp; !event.shiftKey &amp;&amp; scalable;
    var drag_action = zoomable ? zoom_action :
                      panable  ? pan_action :
                                 undefined;
    root.data("drag_action", drag_action);
    if (drag_action) {
        var cancel_drag_action = function(event) {
            if (event.which == 27) { // esc key
                drag_action.cancel(root);
                root.data("drag_action", undefined);
            }
        };
        window.addEventListener("keyup", cancel_drag_action);
        root.data("cancel_drag_action", cancel_drag_action);
        drag_action.start(root, x, y, event);
    }
 };


 Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {
    var root = this.plotroot();
    var drag_action = root.data("drag_action");
    if (drag_action) {
        drag_action.update(root, dx, dy, x, y, event);
    }
 };


 Gadfly.guide_background_drag_onend = function(event) {
    var root = this.plotroot();
    window.removeEventListener("keyup", root.data("cancel_drag_action"));
    root.data("cancel_drag_action", undefined);
    var drag_action = root.data("drag_action");
    if (drag_action) {
        drag_action.end(root, event);
    }
    root.data("drag_action", undefined);
 };


 Gadfly.guide_background_scroll = function(event) {
    if (event.shiftKey) {
        increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);
        event.preventDefault();
    }
 };


 Gadfly.zoomslider_button_mouseover = function(event) {
    this.select(".button_logo")
         .animate({fill: this.data("mouseover_color")}, 100);
 };


 Gadfly.zoomslider_button_mouseout = function(event) {
     this.select(".button_logo")
         .animate({fill: this.data("mouseout_color")}, 100);
 };


 Gadfly.zoomslider_zoomout_click = function(event) {
    increase_zoom_by_position(this.plotroot(), -0.1, true);
 };


 Gadfly.zoomslider_zoomin_click = function(event) {
    increase_zoom_by_position(this.plotroot(), 0.1, true);
 };


 Gadfly.zoomslider_track_click = function(event) {
    // TODO
 };


 // Map slider position x to scale y using the function y = a*exp(b*x)+c.
 // The constants a, b, and c are solved using the constraint that the function
 // should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).
 var scale_from_slider_position = function(position, min_scale, max_scale) {
    var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),
        b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),
        c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);
    return a * Math.exp(b * position) + c;
 }

 // inverse of scale_from_slider_position
 var slider_position_from_scale = function(scale, min_scale, max_scale) {
    var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),
        b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),
        c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);
    return 1 / b * Math.log((scale - c) / a);
 }

 var increase_zoom_by_position = function(root, delta_position, animate) {
    var scale = root.data("scale"),
        min_scale = root.data("min_scale"),
        max_scale = root.data("max_scale");
    var position = slider_position_from_scale(scale, min_scale, max_scale);
    position += delta_position;
    scale = scale_from_slider_position(position, min_scale, max_scale);
    set_zoom(root, scale, animate);
 }

 var set_zoom = function(root, scale, animate) {
    var min_scale = root.data("min_scale"),
        max_scale = root.data("max_scale"),
        old_scale = root.data("scale");
    var new_scale = Math.max(min_scale, Math.min(scale, max_scale));
    if (animate) {
        Snap.animate(
            old_scale,
            new_scale,
            function (new_scale) {
                update_plot_scale(root, new_scale);
            },
            200);
    } else {
        update_plot_scale(root, new_scale);
    }
 }


 var update_plot_scale = function(root, new_scale) {
    var trans = scale_centered_translation(root, new_scale);
    set_plot_pan_zoom(root, trans.x, trans.y, new_scale);

    root.selectAll(".zoomslider_thumb")
        .forEach(function (element, i) {
            var min_pos = element.data("min_pos"),
                max_pos = element.data("max_pos"),
                min_scale = root.data("min_scale"),
                max_scale = root.data("max_scale");
            var xmid = (min_pos + max_pos) / 2;
            var xpos = slider_position_from_scale(new_scale, min_scale, max_scale);
            element.transform(new Snap.Matrix().translate(
                Math.max(min_pos, Math.min(
                         max_pos, min_pos + (max_pos - min_pos) * xpos)) - xmid, 0));
    });
 };


 Gadfly.zoomslider_thumb_dragmove = function(dx, dy, x, y, event) {
    var root = this.plotroot();
    var min_pos = this.data("min_pos"),
        max_pos = this.data("max_pos"),
        min_scale = root.data("min_scale"),
        max_scale = root.data("max_scale"),
        old_scale = root.data("old_scale");

    var px_per_mm = root.data("px_per_mm");
    dx /= px_per_mm;
    dy /= px_per_mm;

    var xmid = (min_pos + max_pos) / 2;
    var xpos = slider_position_from_scale(old_scale, min_scale, max_scale) +
                   dx / (max_pos - min_pos);

    // compute the new scale
    var new_scale = scale_from_slider_position(xpos, min_scale, max_scale);
    new_scale = Math.min(max_scale, Math.max(min_scale, new_scale));

    update_plot_scale(root, new_scale);
    event.stopPropagation();
 };


 Gadfly.zoomslider_thumb_dragstart = function(x, y, event) {
    this.animate({fill: this.data("mouseover_color")}, 100);
    var root = this.plotroot();

    // keep track of what the scale was when we started dragging
    root.data("old_scale", root.data("scale"));
    event.stopPropagation();
 };


 Gadfly.zoomslider_thumb_dragend = function(event) {
    this.animate({fill: this.data("mouseout_color")}, 100);
    event.stopPropagation();
 };


 var toggle_color_class = function(root, color_class, ison) {
    var guides = root.selectAll(".guide." + color_class + ",.guide ." + color_class);
    var geoms = root.selectAll(".geometry." + color_class + ",.geometry ." + color_class);
    if (ison) {
        guides.animate({opacity: 0.5}, 250);
        geoms.animate({opacity: 0.0}, 250);
    } else {
        guides.animate({opacity: 1.0}, 250);
        geoms.animate({opacity: 1.0}, 250);
    }
 };


 Gadfly.colorkey_swatch_click = function(event) {
    var root = this.plotroot();
    var color_class = this.data("color_class");

    if (event.shiftKey) {
        root.selectAll(".colorkey text")
            .forEach(function (element) {
                var other_color_class = element.data("color_class");
                if (other_color_class != color_class) {
                    toggle_color_class(root, other_color_class,
                                       element.attr("opacity") == 1.0);
                }
            });
    } else {
        toggle_color_class(root, color_class, this.attr("opacity") == 1.0);
    }
 };


 return Gadfly;

 }));


 //@ sourceURL=gadfly.js

 (function (glob, factory) {
    // AMD support
      if (typeof require === "function" &amp;&amp; typeof define === "function" &amp;&amp; define.amd) {
        require(["Snap.svg", "Gadfly"], function (Snap, Gadfly) {
            factory(Snap, Gadfly);
        });
      } else {
          factory(glob.Snap, glob.Gadfly);
      }
 })(window, function (Snap, Gadfly) {
    var fig = Snap("#fig-f9b79388eae64367be55b72e6d63278f");
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-9")
   .init_gadfly();
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-12")
   .plotroot().data("unfocused_ygrid_color", "#D0D0E0")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-12")
   .plotroot().data("focused_ygrid_color", "#A0A0A0")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-13")
   .plotroot().data("unfocused_xgrid_color", "#D0D0E0")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-13")
   .plotroot().data("focused_xgrid_color", "#A0A0A0")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-19")
   .data("mouseover_color", "#CD5C5C")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-19")
   .data("mouseout_color", "#6A6A6A")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-19")
   .click(Gadfly.zoomslider_zoomin_click)
 .mouseenter(Gadfly.zoomslider_button_mouseover)
 .mouseleave(Gadfly.zoomslider_button_mouseout)
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-21")
   .data("max_pos", 111.43)
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-21")
   .data("min_pos", 94.43)
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-21")
   .click(Gadfly.zoomslider_track_click);
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-22")
   .data("max_pos", 111.43)
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-22")
   .data("min_pos", 94.43)
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-22")
   .data("mouseover_color", "#CD5C5C")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-22")
   .data("mouseout_color", "#6A6A6A")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-22")
   .drag(Gadfly.zoomslider_thumb_dragmove,
     Gadfly.zoomslider_thumb_dragstart,
     Gadfly.zoomslider_thumb_dragend)
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-23")
   .data("mouseover_color", "#CD5C5C")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-23")
   .data("mouseout_color", "#6A6A6A")
 ;
 fig.select("#fig-f9b79388eae64367be55b72e6d63278f-element-23")
   .click(Gadfly.zoomslider_zoomout_click)
 .mouseenter(Gadfly.zoomslider_button_mouseover)
 .mouseleave(Gadfly.zoomslider_button_mouseout)
 ;
    });
 </script>
 <desc>Created with Snap</desc></svg>

 </div>

 </div>

 </div>
 </div>

 </div>
 <div class="cell border-box-sizing code_cell rendered">
 <div class="input">
 <div class="prompt input_prompt">In&nbsp;[3]:</div>
 <div class="inner_cell">
    <div class="input_area">
 <div class=" highlight hl-julia"><pre><span class="n">spy</span><span class="p">(</span><span class="n">setupA</span><span class="p">(</span><span class="mi">10</span><span class="p">),</span> <span class="n">Geom</span><span class="o">.</span><span class="n">point</span><span class="p">)</span>
 </pre></div>

 </div>
 </div>
 </div>

 <div class="output_wrapper">
 <div class="output">


 <div class="output_area"><div class="prompt output_prompt">Out[3]:</div>

 <div class="output_html rendered_html output_subarea output_execute_result">
 <!--?xml version="1.0" encoding="UTF-8"?-->
 <svg xmlns="http://www.w3.org/2000/svg" xlink="http://www.w3.org/1999/xlink" xmlns:gadfly="http://www.gadflyjl.org/ns" version="1.2" width="141.42mm" height="100mm" viewBox="0 0 141.42 100" stroke="none" fill="#000000" stroke-width="0.3" font-size="3.88" id="fig-7c6f2e95fc64441ab6950da917cdaec0">
 <g class="plotroot xscalable yscalable" id="fig-7c6f2e95fc64441ab6950da917cdaec0-element-1">
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 0"/&gt;',{a:0.393+0.607*(1-d),b:0.769-0.769*(1-d),c:0.189-0.189*(1-d),d:0.349-0.349*(1-d),e:0.686+0.314*(1-d),f:0.168-0.168*(1-d),g:0.272-0.272*(1-d),h:0.534-0.534*(1-d),i:0.131+0.869*(1-d)})};a.filter.sepia.toString=function(){return
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 a.format('&lt;feColorMatrix type="saturate" 
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 </script>
 <script> 

 (function (glob, factory) {
    // AMD support
    if (typeof define === "function" &amp;&amp; define.amd) {
        // Define as an anonymous module
        define("Gadfly", ["Snap.svg"], function (Snap) {
            return factory(Snap);
        });
    } else {
        // Browser globals (glob is window)
        // Snap adds itself to window
        glob.Gadfly = factory(glob.Snap);
    }
 }(this, function (Snap) {

 var Gadfly = {};

 // Get an x/y coordinate value in pixels
 var xPX = function(fig, x) {
    var client_box = fig.node.getBoundingClientRect();
    return x * fig.node.viewBox.baseVal.width / client_box.width;
 };

 var yPX = function(fig, y) {
    var client_box = fig.node.getBoundingClientRect();
    return y * fig.node.viewBox.baseVal.height / client_box.height;
 };


 Snap.plugin(function (Snap, Element, Paper, global) {
    // Traverse upwards from a snap element to find and return the first
    // note with the "plotroot" class.
    Element.prototype.plotroot = function () {
        var element = this;
        while (!element.hasClass("plotroot") &amp;&amp; element.parent() != null) {
            element = element.parent();
        }
        return element;
    };

    Element.prototype.svgroot = function () {
        var element = this;
        while (element.node.nodeName != "svg" &amp;&amp; element.parent() != null) {
            element = element.parent();
        }
        return element;
    };

    Element.prototype.plotbounds = function () {
        var root = this.plotroot()
        var bbox = root.select(".guide.background").node.getBBox();
        return {
            x0: bbox.x,
            x1: bbox.x + bbox.width,
            y0: bbox.y,
            y1: bbox.y + bbox.height
        };
    };

    Element.prototype.plotcenter = function () {
        var root = this.plotroot()
        var bbox = root.select(".guide.background").node.getBBox();
        return {
            x: bbox.x + bbox.width / 2,
            y: bbox.y + bbox.height / 2
        };
    };

    // Emulate IE style mouseenter/mouseleave events, since Microsoft always
    // does everything right.
    // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/
    var events = ["mouseenter", "mouseleave"];

    for (i in events) {
        (function (event_name) {
            var event_name = events[i];
            Element.prototype[event_name] = function (fn, scope) {
                if (Snap.is(fn, "function")) {
                    var fn2 = function (event) {
                        if (event.type != "mouseover" &amp;&amp; event.type != "mouseout") {
                            return;
                        }

                        var reltg = event.relatedTarget ? event.relatedTarget :
                            event.type == "mouseout" ? event.toElement : event.fromElement;
                        while (reltg &amp;&amp; reltg != this.node) reltg = reltg.parentNode;

                        if (reltg != this.node) {
                            return fn.apply(this, event);
                        }
                    };

                    if (event_name == "mouseenter") {
                        this.mouseover(fn2, scope);
                    } else {
                        this.mouseout(fn2, scope);
                    }
                }
                return this;
            };
        })(events[i]);
    }


    Element.prototype.mousewheel = function (fn, scope) {
        if (Snap.is(fn, "function")) {
            var el = this;
            var fn2 = function (event) {
                fn.apply(el, [event]);
            };
        }

        this.node.addEventListener(
            /Firefox/i.test(navigator.userAgent) ? "DOMMouseScroll" : "mousewheel",
            fn2);

        return this;
    };


    // Snap's attr function can be too slow for things like panning/zooming.
    // This is a function to directly update element attributes without going
    // through eve.
    Element.prototype.attribute = function(key, val) {
        if (val === undefined) {
            return this.node.getAttribute(key);
        } else {
            this.node.setAttribute(key, val);
            return this;
        }
    };

    Element.prototype.init_gadfly = function() {
        this.mouseenter(Gadfly.plot_mouseover)
            .mouseleave(Gadfly.plot_mouseout)
            .dblclick(Gadfly.plot_dblclick)
            .mousewheel(Gadfly.guide_background_scroll)
            .drag(Gadfly.guide_background_drag_onmove,
                  Gadfly.guide_background_drag_onstart,
                  Gadfly.guide_background_drag_onend);
        this.mouseenter(function (event)&nbsp;{
            init_pan_zoom(this.plotroot());
        });
        return this;
    };
 });


 // When the plot is moused over, emphasize the grid lines.
 Gadfly.plot_mouseover = function(event) {
    var root = this.plotroot();

    var keyboard_zoom = function(event) {
        if (event.which == 187) { // plus
            increase_zoom_by_position(root, 0.1, true);
        } else if (event.which == 189) { // minus
            increase_zoom_by_position(root, -0.1, true);
        }
    };
    root.data("keyboard_zoom", keyboard_zoom);
    window.addEventListener("keyup", keyboard_zoom);

    var xgridlines = root.select(".xgridlines"),
        ygridlines = root.select(".ygridlines");

    xgridlines.data("unfocused_strokedash",
                    xgridlines.attribute("stroke-dasharray").replace(/(\d)(,|$)/g, "$1mm$2"));
    ygridlines.data("unfocused_strokedash",
                    ygridlines.attribute("stroke-dasharray").replace(/(\d)(,|$)/g, "$1mm$2"));

    // emphasize grid lines
    var destcolor = root.data("focused_xgrid_color");
    xgridlines.attribute("stroke-dasharray", "none")
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    destcolor = root.data("focused_ygrid_color");
    ygridlines.attribute("stroke-dasharray", "none")
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    // reveal zoom slider
    root.select(".zoomslider")
        .animate({opacity: 1.0}, 250);
 };

 // Reset pan and zoom on double click
 Gadfly.plot_dblclick = function(event) {
  set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0);
 };

 // Unemphasize grid lines on mouse out.
 Gadfly.plot_mouseout = function(event) {
    var root = this.plotroot();

    window.removeEventListener("keyup", root.data("keyboard_zoom"));
    root.data("keyboard_zoom", undefined);

    var xgridlines = root.select(".xgridlines"),
        ygridlines = root.select(".ygridlines");

    var destcolor = root.data("unfocused_xgrid_color");

    xgridlines.attribute("stroke-dasharray", xgridlines.data("unfocused_strokedash"))
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    destcolor = root.data("unfocused_ygrid_color");
    ygridlines.attribute("stroke-dasharray", ygridlines.data("unfocused_strokedash"))
              .selectAll("path")
              .animate({stroke: destcolor}, 250);

    // hide zoom slider
    root.select(".zoomslider")
        .animate({opacity: 0.0}, 250);
 };


 var set_geometry_transform = function(root, tx, ty, scale) {
    var xscalable = root.hasClass("xscalable"),
        yscalable = root.hasClass("yscalable");

    var old_scale = root.data("scale");

    var xscale = xscalable ? scale : 1.0,
        yscale = yscalable ? scale : 1.0;

    tx = xscalable ? tx : 0.0;
    ty = yscalable ? ty : 0.0;

    var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);

    root.selectAll(".geometry, image")
        .forEach(function (element, i) {
            element.transform(t);
        });

    bounds = root.plotbounds();

    if (yscalable) {
        var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);
        root.selectAll(".xfixed")
            .forEach(function (element, i) {
                element.transform(xfixed_t);
            });

        root.select(".ylabels")
            .transform(xfixed_t)
            .selectAll("text")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var cx = element.asPX("x"),
                        cy = element.asPX("y");
                    var st = element.data("static_transform");
                    unscale_t = new Snap.Matrix();
                    unscale_t.scale(1, 1/scale, cx, cy).add(st);
                    element.transform(unscale_t);

                    var y = cy * scale + ty;
                    element.attr("visibility",
                        bounds.y0 &lt;= y &amp;&amp; y &lt;= bounds.y1 ? "visible" : "hidden");
                }
            });
    }

    if (xscalable) {
        var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);
        var xtrans = new Snap.Matrix().translate(tx, 0);
        root.selectAll(".yfixed")
            .forEach(function (element, i) {
                element.transform(yfixed_t);
            });

        root.select(".xlabels")
            .transform(yfixed_t)
            .selectAll("text")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var cx = element.asPX("x"),
                        cy = element.asPX("y");
                    var st = element.data("static_transform");
                    unscale_t = new Snap.Matrix();
                    unscale_t.scale(1/scale, 1, cx, cy).add(st);

                    element.transform(unscale_t);

                    var x = cx * scale + tx;
                    element.attr("visibility",
                        bounds.x0 &lt;= x &amp;&amp; x &lt;= bounds.x1 ? "visible" : "hidden");
                    }
            });
    }

    // we must unscale anything that is scale invariance: widths, raiduses, etc.
    var size_attribs = ["font-size"];
    var unscaled_selection = ".geometry, .geometry *";
    if (xscalable) {
        size_attribs.push("rx");
        unscaled_selection += ", .xgridlines";
    }
    if (yscalable) {
        size_attribs.push("ry");
        unscaled_selection += ", .ygridlines";
    }

    root.selectAll(unscaled_selection)
        .forEach(function (element, i) {
            // circle need special help
            if (element.node.nodeName == "circle") {
                var cx = element.attribute("cx"),
                    cy = element.attribute("cy");
                unscale_t = new Snap.Matrix().scale(1/xscale, 1/yscale,
                                                        cx, cy);
                element.transform(unscale_t);
                return;
            }

            for (i in size_attribs) {
                var key = size_attribs[i];
                var val = parseFloat(element.attribute(key));
                if (val !== undefined &amp;&amp; val != 0 &amp;&amp; !isNaN(val)) {
                    element.attribute(key, val * old_scale / scale);
                }
            }
        });
 };


 // Find the most appropriate tick scale and update label visibility.
 var update_tickscale = function(root, scale, axis) {
    if (!root.hasClass(axis + "scalable")) return;

    var tickscales = root.data(axis + "tickscales");
    var best_tickscale = 1.0;
    var best_tickscale_dist = Infinity;
    for (tickscale in tickscales) {
        var dist = Math.abs(Math.log(tickscale) - Math.log(scale));
        if (dist &lt; best_tickscale_dist) {
            best_tickscale_dist = dist;
            best_tickscale = tickscale;
        }
    }

    if (best_tickscale != root.data(axis + "tickscale")) {
        root.data(axis + "tickscale", best_tickscale);
        var mark_inscale_gridlines = function (element, i) {
            var inscale = element.attr("gadfly:scale") == best_tickscale;
            element.attribute("gadfly:inscale", inscale);
            element.attr("visibility", inscale ? "visible" : "hidden");
        };

        var mark_inscale_labels = function (element, i) {
            var inscale = element.attr("gadfly:scale") == best_tickscale;
            element.attribute("gadfly:inscale", inscale);
            element.attr("visibility", inscale ? "visible" : "hidden");
        };

        root.select("." + axis + "gridlines").selectAll("path").forEach(mark_inscale_gridlines);
        root.select("." + axis + "labels").selectAll("text").forEach(mark_inscale_labels);
    }
 };


 var set_plot_pan_zoom = function(root, tx, ty, scale) {
    var old_scale = root.data("scale");
    var bounds = root.plotbounds();

    var width = bounds.x1 - bounds.x0,
        height = bounds.y1 - bounds.y0;

    // compute the viewport derived from tx, ty, and scale
    var x_min = -width * scale - (scale * width - width),
        x_max = width * scale,
        y_min = -height * scale - (scale * height - height),
        y_max = height * scale;

    var x0 = bounds.x0 - scale * bounds.x0,
        y0 = bounds.y0 - scale * bounds.y0;

    var tx = Math.max(Math.min(tx - x0, x_max), x_min),
        ty = Math.max(Math.min(ty - y0, y_max), y_min);

    tx += x0;
    ty += y0;

    // when the scale change, we may need to alter which set of
    // ticks is being displayed
    if (scale != old_scale) {
        update_tickscale(root, scale, "x");
        update_tickscale(root, scale, "y");
    }

    set_geometry_transform(root, tx, ty, scale);

    root.data("scale", scale);
    root.data("tx", tx);
    root.data("ty", ty);
 };


 var scale_centered_translation = function(root, scale) {
    var bounds = root.plotbounds();

    var width = bounds.x1 - bounds.x0,
        height = bounds.y1 - bounds.y0;

    var tx0 = root.data("tx"),
        ty0 = root.data("ty");

    var scale0 = root.data("scale");

    // how off from center the current view is
    var xoff = tx0 - (bounds.x0 * (1 - scale0) + (width * (1 - scale0)) / 2),
        yoff = ty0 - (bounds.y0 * (1 - scale0) + (height * (1 - scale0)) / 2);

    // rescale offsets
    xoff = xoff * scale / scale0;
    yoff = yoff * scale / scale0;

    // adjust for the panel position being scaled
    var x_edge_adjust = bounds.x0 * (1 - scale),
        y_edge_adjust = bounds.y0 * (1 - scale);

    return {
        x: xoff + x_edge_adjust + (width - width * scale) / 2,
        y: yoff + y_edge_adjust + (height - height * scale) / 2
    };
 };


 // Initialize data for panning zooming if it isn't already.
 var init_pan_zoom = function(root) {
    if (root.data("zoompan-ready")) {
        return;
    }

    // The non-scaling-stroke trick. Rather than try to correct for the
    // stroke-width when zooming, we force it to a fixed value.
    var px_per_mm = root.node.getCTM().a;

    // Drag events report deltas in pixels, which we'd like to convert to
    // millimeters.
    root.data("px_per_mm", px_per_mm);

    root.selectAll("path")
        .forEach(function (element, i) {
        sw = element.asPX("stroke-width") * px_per_mm;
        if (sw &gt; 0) {
            element.attribute("stroke-width", sw);
            element.attribute("vector-effect", "non-scaling-stroke");
        }
    });

    // Store ticks labels original tranformation
    root.selectAll(".xlabels &gt; text, .ylabels &gt; text")
        .forEach(function (element, i) {
            var lm = element.transform().localMatrix;
            element.data("static_transform",
                new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));
        });

    var xgridlines = root.select(".xgridlines");
    var ygridlines = root.select(".ygridlines");
    var xlabels = root.select(".xlabels");
    var ylabels = root.select(".ylabels");

    if (root.data("tx") === undefined) root.data("tx", 0);
    if (root.data("ty") === undefined) root.data("ty", 0);
    if (root.data("scale") === undefined) root.data("scale", 1.0);
    if (root.data("xtickscales") === undefined) {

        // index all the tick scales that are listed
        var xtickscales = {};
        var ytickscales = {};
        var add_x_tick_scales = function (element, i) {
            xtickscales[element.attribute("gadfly:scale")] = true;
        };
        var add_y_tick_scales = function (element, i) {
            ytickscales[element.attribute("gadfly:scale")] = true;
        };

        if (xgridlines) xgridlines.selectAll("path").forEach(add_x_tick_scales);
        if (ygridlines) ygridlines.selectAll("path").forEach(add_y_tick_scales);
        if (xlabels) xlabels.selectAll("text").forEach(add_x_tick_scales);
        if (ylabels) ylabels.selectAll("text").forEach(add_y_tick_scales);

        root.data("xtickscales", xtickscales);
        root.data("ytickscales", ytickscales);
        root.data("xtickscale", 1.0);
    }

    var min_scale = 1.0, max_scale = 1.0;
    for (scale in xtickscales) {
        min_scale = Math.min(min_scale, scale);
        max_scale = Math.max(max_scale, scale);
    }
    for (scale in ytickscales) {
        min_scale = Math.min(min_scale, scale);
        max_scale = Math.max(max_scale, scale);
    }
    root.data("min_scale", min_scale);
    root.data("max_scale", max_scale);

    // store the original positions of labels
    if (xlabels) {
        xlabels.selectAll("text")
               .forEach(function (element, i) {
                   element.data("x", element.asPX("x"));
               });
    }

    if (ylabels) {
        ylabels.selectAll("text")
               .forEach(function (element, i) {
                   element.data("y", element.asPX("y"));
               });
    }

    // mark grid lines and ticks as in or out of scale.
    var mark_inscale = function (element, i) {
        element.attribute("gadfly:inscale", element.attribute("gadfly:scale") == 1.0);
    };

    if (xgridlines) xgridlines.selectAll("path").forEach(mark_inscale);
    if (ygridlines) ygridlines.selectAll("path").forEach(mark_inscale);
    if (xlabels) xlabels.selectAll("text").forEach(mark_inscale);
    if (ylabels) ylabels.selectAll("text").forEach(mark_inscale);

    // figure out the upper ond lower bounds on panning using the maximum
    // and minum grid lines
    var bounds = root.plotbounds();
    var pan_bounds = {
        x0: 0.0,
        y0: 0.0,
        x1: 0.0,
        y1: 0.0
    };

    if (xgridlines) {
        xgridlines
            .selectAll("path")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var bbox = element.node.getBBox();
                    if (bounds.x1 - bbox.x &lt; pan_bounds.x0) {
                        pan_bounds.x0 = bounds.x1 - bbox.x;
                    }
                    if (bounds.x0 - bbox.x &gt; pan_bounds.x1) {
                        pan_bounds.x1 = bounds.x0 - bbox.x;
                    }
                    element.attr("visibility", "visible");
                }
            });
    }

    if (ygridlines) {
        ygridlines
            .selectAll("path")
            .forEach(function (element, i) {
                if (element.attribute("gadfly:inscale") == "true") {
                    var bbox = element.node.getBBox();
                    if (bounds.y1 - bbox.y &lt; pan_bounds.y0) {
                        pan_bounds.y0 = bounds.y1 - bbox.y;
                    }
                    if (bounds.y0 - bbox.y &gt; pan_bounds.y1) {
                        pan_bounds.y1 = bounds.y0 - bbox.y;
                    }
                    element.attr("visibility", "visible");
                }
            });
    }

    // nudge these values a little
    pan_bounds.x0 -= 5;
    pan_bounds.x1 += 5;
    pan_bounds.y0 -= 5;
    pan_bounds.y1 += 5;
    root.data("pan_bounds", pan_bounds);

    root.data("zoompan-ready", true)
 };


 // drag actions, i.e. zooming and panning
 var pan_action = {
    start: function(root, x, y, event) {
        root.data("dx", 0);
        root.data("dy", 0);
        root.data("tx0", root.data("tx"));
        root.data("ty0", root.data("ty"));
    },
    update: function(root, dx, dy, x, y, event) {
        var px_per_mm = root.data("px_per_mm");
        dx /= px_per_mm;
        dy /= px_per_mm;

        var tx0 = root.data("tx"),
            ty0 = root.data("ty");

        var dx0 = root.data("dx"),
            dy0 = root.data("dy");

        root.data("dx", dx);
        root.data("dy", dy);

        dx = dx - dx0;
        dy = dy - dy0;

        var tx = tx0 + dx,
            ty = ty0 + dy;

        set_plot_pan_zoom(root, tx, ty, root.data("scale"));
    },
    end: function(root, event) {

    },
    cancel: function(root) {
        set_plot_pan_zoom(root, root.data("tx0"), root.data("ty0"), root.data("scale"));
    }
 };

 var zoom_box;
 var zoom_action = {
    start: function(root, x, y, event) {
        var bounds = root.plotbounds();
        var width = bounds.x1 - bounds.x0,
            height = bounds.y1 - bounds.y0;
        var ratio = width / height;
        var xscalable = root.hasClass("xscalable"),
            yscalable = root.hasClass("yscalable");
        var px_per_mm = root.data("px_per_mm");
        x = xscalable ? x / px_per_mm : bounds.x0;
        y = yscalable ? y / px_per_mm : bounds.y0;
        var w = xscalable ? 0 : width;
        var h = yscalable ? 0 : height;
        zoom_box = root.rect(x, y, w, h).attr({
            "fill": "#000",
            "opacity": 0.25
        });
        zoom_box.data("ratio", ratio);
    },
    update: function(root, dx, dy, x, y, event) {
        var xscalable = root.hasClass("xscalable"),
            yscalable = root.hasClass("yscalable");
        var px_per_mm = root.data("px_per_mm");
        var bounds = root.plotbounds();
        if (yscalable) {
            y /= px_per_mm;
            y = Math.max(bounds.y0, y);
            y = Math.min(bounds.y1, y);
        } else {
            y = bounds.y1;
        }
        if (xscalable) {
            x /= px_per_mm;
            x = Math.max(bounds.x0, x);
            x = Math.min(bounds.x1, x);
        } else {
            x = bounds.x1;
        }

        dx = x - zoom_box.attr("x");
        dy = y - zoom_box.attr("y");
        if (xscalable &amp;&amp; yscalable) {
            var ratio = zoom_box.data("ratio");
            var width = Math.min(Math.abs(dx), ratio * Math.abs(dy));
            var height = Math.min(Math.abs(dy), Math.abs(dx) / ratio);
            dx = width * dx / Math.abs(dx);
            dy = height * dy / Math.abs(dy);
        }
        var xoffset = 0,
            yoffset = 0;
        if (dx &lt; 0) {
            xoffset = dx;
            dx = -1 * dx;
        }
        if (dy &lt; 0) {
            yoffset = dy;
            dy = -1 * dy;
        }
        if (isNaN(dy)) {
            dy = 0.0;
        }
        if (isNaN(dx)) {
            dx = 0.0;
        }
        zoom_box.transform("T" + xoffset + "," + yoffset);
        zoom_box.attr("width", dx);
        zoom_box.attr("height", dy);
    },
    end: function(root, event) {
        var xscalable = root.hasClass("xscalable"),
            yscalable = root.hasClass("yscalable");
        var zoom_bounds = zoom_box.getBBox();
        if (zoom_bounds.width * zoom_bounds.height &lt;= 0) {
            return;
        }
        var plot_bounds = root.plotbounds();
        var zoom_factor = 1.0;
        if (yscalable) {
            zoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;
        } else {
            zoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;
        }
        var tx = (root.data("tx") - zoom_bounds.x) * zoom_factor + plot_bounds.x0,
            ty = (root.data("ty") - zoom_bounds.y) * zoom_factor + plot_bounds.y0;
        set_plot_pan_zoom(root, tx, ty, root.data("scale") * zoom_factor);
        zoom_box.remove();
    },
    cancel: function(root) {
        zoom_box.remove();
    }
 };


 Gadfly.guide_background_drag_onstart = function(x, y, event) {
    var root = this.plotroot();
    var scalable = root.hasClass("xscalable") || root.hasClass("yscalable");
    var zoomable = !event.altKey &amp;&amp; !event.ctrlKey &amp;&amp; event.shiftKey &amp;&amp; scalable;
    var panable = !event.altKey &amp;&amp; !event.ctrlKey &amp;&amp; !event.shiftKey &amp;&amp; scalable;
    var drag_action = zoomable ? zoom_action :
                      panable  ? pan_action :
                                 undefined;
    root.data("drag_action", drag_action);
    if (drag_action) {
        var cancel_drag_action = function(event) {
            if (event.which == 27) { // esc key
                drag_action.cancel(root);
                root.data("drag_action", undefined);
            }
        };
        window.addEventListener("keyup", cancel_drag_action);
        root.data("cancel_drag_action", cancel_drag_action);
        drag_action.start(root, x, y, event);
    }
 };


 Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {
    var root = this.plotroot();
    var drag_action = root.data("drag_action");
    if (drag_action) {
        drag_action.update(root, dx, dy, x, y, event);
    }
 };


 Gadfly.guide_background_drag_onend = function(event) {
    var root = this.plotroot();
    window.removeEventListener("keyup", root.data("cancel_drag_action"));
    root.data("cancel_drag_action", undefined);
    var drag_action = root.data("drag_action");
    if (drag_action) {
        drag_action.end(root, event);
    }
    root.data("drag_action", undefined);
 };


 Gadfly.guide_background_scroll = function(event) {
    if (event.shiftKey) {
        increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);
        event.preventDefault();
    }
 };


 Gadfly.zoomslider_button_mouseover = function(event) {
    this.select(".button_logo")
         .animate({fill: this.data("mouseover_color")}, 100);
 };


 Gadfly.zoomslider_button_mouseout = function(event) {
     this.select(".button_logo")
         .animate({fill: this.data("mouseout_color")}, 100);
 };


 Gadfly.zoomslider_zoomout_click = function(event) {
    increase_zoom_by_position(this.plotroot(), -0.1, true);
 };


 Gadfly.zoomslider_zoomin_click = function(event) {
    increase_zoom_by_position(this.plotroot(), 0.1, true);
 };


 Gadfly.zoomslider_track_click = function(event) {
    // TODO
 };


 // Map slider position x to scale y using the function y = a*exp(b*x)+c.
 // The constants a, b, and c are solved using the constraint that the function
 // should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).
 var scale_from_slider_position = function(position, min_scale, max_scale) {
    var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),
        b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),
        c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);
    return a * Math.exp(b * position) + c;
 }

 // inverse of scale_from_slider_position
 var slider_position_from_scale = function(scale, min_scale, max_scale) {
    var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),
        b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),
        c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);
    return 1 / b * Math.log((scale - c) / a);
 }

 var increase_zoom_by_position = function(root, delta_position, animate) {
    var scale = root.data("scale"),
        min_scale = root.data("min_scale"),
        max_scale = root.data("max_scale");
    var position = slider_position_from_scale(scale, min_scale, max_scale);
    position += delta_position;
    scale = scale_from_slider_position(position, min_scale, max_scale);
    set_zoom(root, scale, animate);
 }

 var set_zoom = function(root, scale, animate) {
    var min_scale = root.data("min_scale"),
        max_scale = root.data("max_scale"),
        old_scale = root.data("scale");
    var new_scale = Math.max(min_scale, Math.min(scale, max_scale));
    if (animate) {
        Snap.animate(
            old_scale,
            new_scale,
            function (new_scale) {
                update_plot_scale(root, new_scale);
            },
            200);
    } else {
        update_plot_scale(root, new_scale);
    }
 }


 var update_plot_scale = function(root, new_scale) {
    var trans = scale_centered_translation(root, new_scale);
    set_plot_pan_zoom(root, trans.x, trans.y, new_scale);

    root.selectAll(".zoomslider_thumb")
        .forEach(function (element, i) {
            var min_pos = element.data("min_pos"),
                max_pos = element.data("max_pos"),
                min_scale = root.data("min_scale"),
                max_scale = root.data("max_scale");
            var xmid = (min_pos + max_pos) / 2;
            var xpos = slider_position_from_scale(new_scale, min_scale, max_scale);
            element.transform(new Snap.Matrix().translate(
                Math.max(min_pos, Math.min(
                         max_pos, min_pos + (max_pos - min_pos) * xpos)) - xmid, 0));
    });
 };


 Gadfly.zoomslider_thumb_dragmove = function(dx, dy, x, y, event) {
    var root = this.plotroot();
    var min_pos = this.data("min_pos"),
        max_pos = this.data("max_pos"),
        min_scale = root.data("min_scale"),
        max_scale = root.data("max_scale"),
        old_scale = root.data("old_scale");

    var px_per_mm = root.data("px_per_mm");
    dx /= px_per_mm;
    dy /= px_per_mm;

    var xmid = (min_pos + max_pos) / 2;
    var xpos = slider_position_from_scale(old_scale, min_scale, max_scale) +
                   dx / (max_pos - min_pos);

    // compute the new scale
    var new_scale = scale_from_slider_position(xpos, min_scale, max_scale);
    new_scale = Math.min(max_scale, Math.max(min_scale, new_scale));

    update_plot_scale(root, new_scale);
    event.stopPropagation();
 };


 Gadfly.zoomslider_thumb_dragstart = function(x, y, event) {
    this.animate({fill: this.data("mouseover_color")}, 100);
    var root = this.plotroot();

    // keep track of what the scale was when we started dragging
    root.data("old_scale", root.data("scale"));
    event.stopPropagation();
 };


 Gadfly.zoomslider_thumb_dragend = function(event) {
    this.animate({fill: this.data("mouseout_color")}, 100);
    event.stopPropagation();
 };


 var toggle_color_class = function(root, color_class, ison) {
    var guides = root.selectAll(".guide." + color_class + ",.guide ." + color_class);
    var geoms = root.selectAll(".geometry." + color_class + ",.geometry ." + color_class);
    if (ison) {
        guides.animate({opacity: 0.5}, 250);
        geoms.animate({opacity: 0.0}, 250);
    } else {
        guides.animate({opacity: 1.0}, 250);
        geoms.animate({opacity: 1.0}, 250);
    }
 };


 Gadfly.colorkey_swatch_click = function(event) {
    var root = this.plotroot();
    var color_class = this.data("color_class");

    if (event.shiftKey) {
        root.selectAll(".colorkey text")
            .forEach(function (element) {
                var other_color_class = element.data("color_class");
                if (other_color_class != color_class) {
                    toggle_color_class(root, other_color_class,
                                       element.attr("opacity") == 1.0);
                }
            });
    } else {
        toggle_color_class(root, color_class, this.attr("opacity") == 1.0);
    }
 };


 return Gadfly;

 }));


 //@ sourceURL=gadfly.js

 (function (glob, factory) {
    // AMD support
      if (typeof require === "function" &amp;&amp; typeof define === "function" &amp;&amp; define.amd) {
        require(["Snap.svg", "Gadfly"], function (Snap, Gadfly) {
            factory(Snap, Gadfly);
        });
      } else {
          factory(glob.Snap, glob.Gadfly);
      }
 })(window, function (Snap, Gadfly) {
    var fig = Snap("#fig-7c6f2e95fc64441ab6950da917cdaec0");
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-9")
   .init_gadfly();
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-12")
   .plotroot().data("unfocused_ygrid_color", "#D0D0E0")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-12")
   .plotroot().data("focused_ygrid_color", "#A0A0A0")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-13")
   .plotroot().data("unfocused_xgrid_color", "#D0D0E0")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-13")
   .plotroot().data("focused_xgrid_color", "#A0A0A0")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-19")
   .data("mouseover_color", "#CD5C5C")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-19")
   .data("mouseout_color", "#6A6A6A")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-19")
   .click(Gadfly.zoomslider_zoomin_click)
 .mouseenter(Gadfly.zoomslider_button_mouseover)
 .mouseleave(Gadfly.zoomslider_button_mouseout)
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-21")
   .data("max_pos", 111.43)
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-21")
   .data("min_pos", 94.43)
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-21")
   .click(Gadfly.zoomslider_track_click);
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-22")
   .data("max_pos", 111.43)
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-22")
   .data("min_pos", 94.43)
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-22")
   .data("mouseover_color", "#CD5C5C")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-22")
   .data("mouseout_color", "#6A6A6A")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-22")
   .drag(Gadfly.zoomslider_thumb_dragmove,
     Gadfly.zoomslider_thumb_dragstart,
     Gadfly.zoomslider_thumb_dragend)
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-23")
   .data("mouseover_color", "#CD5C5C")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-23")
   .data("mouseout_color", "#6A6A6A")
 ;
 fig.select("#fig-7c6f2e95fc64441ab6950da917cdaec0-element-23")
   .click(Gadfly.zoomslider_zoomout_click)
 .mouseenter(Gadfly.zoomslider_button_mouseover)
 .mouseleave(Gadfly.zoomslider_button_mouseout)
 ;
    });
 </script>
 <desc>Created with Snap</desc></svg>

 </div>

 </div>

 </div>
 </div>

 </div>
 <div class="cell border-box-sizing code_cell rendered">
 <div class="input">
 <div class="prompt input_prompt">In&nbsp;[4]:</div>
 <div class="inner_cell">
    <div class="input_area">
 <div class=" highlight hl-julia"><pre><span class="n">spy</span><span class="p">(</span><span class="n">setupA</span><span class="p">(</span><span class="mi">30</span><span class="p">))</span>
 </pre></div>

 </div>
 </div>
 </div>

 <div class="output_wrapper">
 <div class="output">


 <div class="output_area"><div class="prompt output_prompt">Out[4]:</div>

 <div class="output_html rendered_html output_subarea output_execute_result">
 <!--?xml version="1.0" encoding="UTF-8"?-->
 <svg xmlns="http://www.w3.org/2000/svg" xlink="http://www.w3.org/1999/xlink" xmlns:gadfly="http://www.gadflyjl.org/ns" version="1.2" width="141.42mm" height="100mm" viewBox="0 0 141.42 100" stroke="none" fill="#000000" stroke-width="0.3" font-size="3.88" id="fig-397fe2ead5c24beda4dab8d872cc28b5">
 <g class="plotroot xscalable yscalable" id="fig-397fe2ead5c24beda4dab8d872cc28b5-element-1">
  <g font-size="3.88" font-family="'PT Sans','Helvetica Neue','Helvetica',sans-serif" fill="#564A55" stroke="#000000" stroke-opacity="0.000" id="fig-397fe2ead5c24beda4dab8d872cc28b5-element-2">
    <text x="73.08" y="88.39" text-anchor="middle" dy="0.6em">j</text>
  </g>
  <g class="guide xlabels" font-size="2.82" font-family="'PT Sans Caption','Helvetica Neue','Helvetica',sans-serif" fill="#6C606B" id="fig-397fe2ead5c24beda4dab8d872cc28b5-element-3">
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