MPC

gistfile1.txt

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "simulate (generic function with 2 methods)"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JuMP, Gurobi\n",
    "using Gadfly, Interact\n",
    "\n",
    "function solveMPC(n,m,A,B,T,x0,xmax,umax)\n",
    "    mpc = Model(solver=GurobiSolver(OutputFlag=0))\n",
    "    @defVar(mpc, -xmax <= x[1:n,t=0:T] <= xmax)\n",
    "    @defVar(mpc, -umax <= u[1:m,t=0:T] <= umax)\n",
    "    # Link state and control across the horizon\n",
    "    for t = 0:T-1\n",
    "        @addConstraint(mpc, x[:,t+1] .== A*x[:,t] + B*u[:,t])\n",
    "    end\n",
    "    # Initial conditions\n",
    "    @addConstraint(mpc, x[:,0] .== x0)\n",
    "    # Final state\n",
    "    @addConstraint(mpc, x[:,T] .== 0)\n",
    "    # Cost\n",
    "    @setObjective(mpc, Min,\n",
    "        sum{sum{x[i,t]^2,i=1:n} + sum{u[j,t]^2,j=1:m},t=0:T})\n",
    "    # Solve the QP\n",
    "    solve(mpc)\n",
    "    # Return the control plan\n",
    "    return getValue(u[:,0])\n",
    "end\n",
    "\n",
    "function simulate(n,m,A,B,T,Tmax,x0,xmax,umax)\n",
    "    x_history = zeros(n,Tmax)\n",
    "    u_history = zeros(m,Tmax)\n",
    "    z_history = zeros(Tmax)\n",
    "    x_t = x0[:]\n",
    "    for t = 1:Tmax\n",
    "        u_t = solveMPC(n,m,A,B,T,x_t,xmax,umax)\n",
    "        x_history[:,t] = x_t\n",
    "        u_history[:,t] = u_t\n",
    "        z_history[t] = sumabs2(x_t) + sumabs2(u_t)\n",
    "        x_t = A*x_t + B*u_t\n",
    "    end\n",
    "    return x_history, u_history, z_history\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [],
      "text/plain": [
       "Slider{Float64}([Input{Float64}] 1.3,\"umax\",1.3,0.7:0.1:2.0)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "    <text x=\"16.4\" y=\"108.76\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-271\" visibility=\"hidden\" gadfly:scale=\"1.0\">4</text>\n",
       "    <text x=\"16.4\" y=\"105.03\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-272\" visibility=\"hidden\" gadfly:scale=\"1.0\">5</text>\n",
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       "    <text x=\"16.4\" y=\"144.53\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-277\" visibility=\"hidden\" gadfly:scale=\"10.0\">-5.6</text>\n",
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       "    <text x=\"16.4\" y=\"141.55\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-281\" visibility=\"hidden\" gadfly:scale=\"10.0\">-4.8</text>\n",
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       "    <text x=\"16.4\" y=\"137.82\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-286\" visibility=\"hidden\" gadfly:scale=\"10.0\">-3.8</text>\n",
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       "    <text x=\"16.4\" y=\"128.88\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-298\" visibility=\"hidden\" gadfly:scale=\"10.0\">-1.4</text>\n",
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       "    <text x=\"16.4\" y=\"126.64\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-301\" visibility=\"hidden\" gadfly:scale=\"10.0\">-0.8</text>\n",
       "    <text x=\"16.4\" y=\"125.9\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-302\" visibility=\"hidden\" gadfly:scale=\"10.0\">-0.6</text>\n",
       "    <text x=\"16.4\" y=\"125.15\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-303\" visibility=\"hidden\" gadfly:scale=\"10.0\">-0.4</text>\n",
       "    <text x=\"16.4\" y=\"124.41\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-304\" visibility=\"hidden\" gadfly:scale=\"10.0\">-0.2</text>\n",
       "    <text x=\"16.4\" y=\"123.66\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-305\" visibility=\"hidden\" gadfly:scale=\"10.0\">0.0</text>\n",
       "    <text x=\"16.4\" y=\"122.92\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-306\" visibility=\"hidden\" gadfly:scale=\"10.0\">0.2</text>\n",
       "    <text x=\"16.4\" y=\"122.17\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-307\" visibility=\"hidden\" gadfly:scale=\"10.0\">0.4</text>\n",
       "    <text x=\"16.4\" y=\"121.43\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-308\" visibility=\"hidden\" gadfly:scale=\"10.0\">0.6</text>\n",
       "    <text x=\"16.4\" y=\"120.68\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-309\" visibility=\"hidden\" gadfly:scale=\"10.0\">0.8</text>\n",
       "    <text x=\"16.4\" y=\"119.94\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-310\" visibility=\"hidden\" gadfly:scale=\"10.0\">1.0</text>\n",
       "    <text x=\"16.4\" y=\"119.19\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-311\" visibility=\"hidden\" gadfly:scale=\"10.0\">1.2</text>\n",
       "    <text x=\"16.4\" y=\"118.45\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-312\" visibility=\"hidden\" gadfly:scale=\"10.0\">1.4</text>\n",
       "    <text x=\"16.4\" y=\"117.7\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-313\" visibility=\"hidden\" gadfly:scale=\"10.0\">1.6</text>\n",
       "    <text x=\"16.4\" y=\"116.96\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-314\" visibility=\"hidden\" gadfly:scale=\"10.0\">1.8</text>\n",
       "    <text x=\"16.4\" y=\"116.21\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-315\" visibility=\"hidden\" gadfly:scale=\"10.0\">2.0</text>\n",
       "    <text x=\"16.4\" y=\"115.47\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-316\" visibility=\"hidden\" gadfly:scale=\"10.0\">2.2</text>\n",
       "    <text x=\"16.4\" y=\"114.72\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-317\" visibility=\"hidden\" gadfly:scale=\"10.0\">2.4</text>\n",
       "    <text x=\"16.4\" y=\"113.98\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-318\" visibility=\"hidden\" gadfly:scale=\"10.0\">2.6</text>\n",
       "    <text x=\"16.4\" y=\"113.23\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-319\" visibility=\"hidden\" gadfly:scale=\"10.0\">2.8</text>\n",
       "    <text x=\"16.4\" y=\"112.49\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-320\" visibility=\"hidden\" gadfly:scale=\"10.0\">3.0</text>\n",
       "    <text x=\"16.4\" y=\"111.74\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-321\" visibility=\"hidden\" gadfly:scale=\"10.0\">3.2</text>\n",
       "    <text x=\"16.4\" y=\"111\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-322\" visibility=\"hidden\" gadfly:scale=\"10.0\">3.4</text>\n",
       "    <text x=\"16.4\" y=\"110.25\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-323\" visibility=\"hidden\" gadfly:scale=\"10.0\">3.6</text>\n",
       "    <text x=\"16.4\" y=\"109.51\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-324\" visibility=\"hidden\" gadfly:scale=\"10.0\">3.8</text>\n",
       "    <text x=\"16.4\" y=\"108.76\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-325\" visibility=\"hidden\" gadfly:scale=\"10.0\">4.0</text>\n",
       "    <text x=\"16.4\" y=\"108.01\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-326\" visibility=\"hidden\" gadfly:scale=\"10.0\">4.2</text>\n",
       "    <text x=\"16.4\" y=\"107.27\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-327\" visibility=\"hidden\" gadfly:scale=\"10.0\">4.4</text>\n",
       "    <text x=\"16.4\" y=\"106.52\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-328\" visibility=\"hidden\" gadfly:scale=\"10.0\">4.6</text>\n",
       "    <text x=\"16.4\" y=\"105.78\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-329\" visibility=\"hidden\" gadfly:scale=\"10.0\">4.8</text>\n",
       "    <text x=\"16.4\" y=\"105.03\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-330\" visibility=\"hidden\" gadfly:scale=\"10.0\">5.0</text>\n",
       "    <text x=\"16.4\" y=\"104.29\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-331\" visibility=\"hidden\" gadfly:scale=\"10.0\">5.2</text>\n",
       "    <text x=\"16.4\" y=\"103.54\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-332\" visibility=\"hidden\" gadfly:scale=\"10.0\">5.4</text>\n",
       "    <text x=\"16.4\" y=\"102.8\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-333\" visibility=\"hidden\" gadfly:scale=\"10.0\">5.6</text>\n",
       "    <text x=\"16.4\" y=\"102.05\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-334\" visibility=\"hidden\" gadfly:scale=\"10.0\">5.8</text>\n",
       "    <text x=\"16.4\" y=\"101.31\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-335\" visibility=\"hidden\" gadfly:scale=\"10.0\">6.0</text>\n",
       "    <text x=\"16.4\" y=\"146.02\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-336\" visibility=\"hidden\" gadfly:scale=\"0.5\">-6</text>\n",
       "    <text x=\"16.4\" y=\"134.84\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-337\" visibility=\"hidden\" gadfly:scale=\"0.5\">-3</text>\n",
       "    <text x=\"16.4\" y=\"123.66\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-338\" visibility=\"hidden\" gadfly:scale=\"0.5\">0</text>\n",
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       "    <text x=\"16.4\" y=\"140.43\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-344\" visibility=\"hidden\" gadfly:scale=\"5.0\">-4.5</text>\n",
       "    <text x=\"16.4\" y=\"138.57\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-345\" visibility=\"hidden\" gadfly:scale=\"5.0\">-4.0</text>\n",
       "    <text x=\"16.4\" y=\"136.7\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-346\" visibility=\"hidden\" gadfly:scale=\"5.0\">-3.5</text>\n",
       "    <text x=\"16.4\" y=\"134.84\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-347\" visibility=\"hidden\" gadfly:scale=\"5.0\">-3.0</text>\n",
       "    <text x=\"16.4\" y=\"132.98\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-348\" visibility=\"hidden\" gadfly:scale=\"5.0\">-2.5</text>\n",
       "    <text x=\"16.4\" y=\"131.11\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-349\" visibility=\"hidden\" gadfly:scale=\"5.0\">-2.0</text>\n",
       "    <text x=\"16.4\" y=\"129.25\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-350\" visibility=\"hidden\" gadfly:scale=\"5.0\">-1.5</text>\n",
       "    <text x=\"16.4\" y=\"127.39\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-351\" visibility=\"hidden\" gadfly:scale=\"5.0\">-1.0</text>\n",
       "    <text x=\"16.4\" y=\"125.53\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-352\" visibility=\"hidden\" gadfly:scale=\"5.0\">-0.5</text>\n",
       "    <text x=\"16.4\" y=\"123.66\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-353\" visibility=\"hidden\" gadfly:scale=\"5.0\">0.0</text>\n",
       "    <text x=\"16.4\" y=\"121.8\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-354\" visibility=\"hidden\" gadfly:scale=\"5.0\">0.5</text>\n",
       "    <text x=\"16.4\" y=\"119.94\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-355\" visibility=\"hidden\" gadfly:scale=\"5.0\">1.0</text>\n",
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       "    <text x=\"16.4\" y=\"114.35\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-358\" visibility=\"hidden\" gadfly:scale=\"5.0\">2.5</text>\n",
       "    <text x=\"16.4\" y=\"112.49\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-359\" visibility=\"hidden\" gadfly:scale=\"5.0\">3.0</text>\n",
       "    <text x=\"16.4\" y=\"110.62\" text-anchor=\"end\" dy=\"0.35em\" id=\"fig-711fd9b484c547019140be8e2015dc5a-element-360\" visibility=\"hidden\" gadfly:scale=\"5.0\">3.5</text>\n",
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       "amount2:1-d})};a.filter.invert.toString=function(){return this()};a.filter.brightness=function(d){null==d&&(d=1);return a.format('<feComponentTransfer><feFuncR type=\"linear\" slope=\"{amount}\"/><feFuncG type=\"linear\" slope=\"{amount}\"/><feFuncB type=\"linear\" slope=\"{amount}\"/></feComponentTransfer>',{amount:d})};a.filter.brightness.toString=function(){return this()};a.filter.contrast=function(d){null==d&&(d=1);return a.format('<feComponentTransfer><feFuncR type=\"linear\" slope=\"{amount}\" intercept=\"{amount2}\"/><feFuncG type=\"linear\" slope=\"{amount}\" intercept=\"{amount2}\"/><feFuncB type=\"linear\" slope=\"{amount}\" intercept=\"{amount2}\"/></feComponentTransfer>',\n",
       "{amount:d,amount2:0.5-d/2})};a.filter.contrast.toString=function(){return this()}});return C});\n",
       "\n",
       "]]> </script>\n",
       "<script> <![CDATA[\n",
       "\n",
       "(function (glob, factory) {\n",
       "    // AMD support\n",
       "    if (typeof define === \"function\" && define.amd) {\n",
       "        // Define as an anonymous module\n",
       "        define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
       "            return factory(Snap);\n",
       "        });\n",
       "    } else {\n",
       "        // Browser globals (glob is window)\n",
       "        // Snap adds itself to window\n",
       "        glob.Gadfly = factory(glob.Snap);\n",
       "    }\n",
       "}(this, function (Snap) {\n",
       "\n",
       "var Gadfly = {};\n",
       "\n",
       "// Get an x/y coordinate value in pixels\n",
       "var xPX = function(fig, x) {\n",
       "    var client_box = fig.node.getBoundingClientRect();\n",
       "    return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
       "};\n",
       "\n",
       "var yPX = function(fig, y) {\n",
       "    var client_box = fig.node.getBoundingClientRect();\n",
       "    return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
       "};\n",
       "\n",
       "\n",
       "Snap.plugin(function (Snap, Element, Paper, global) {\n",
       "    // Traverse upwards from a snap element to find and return the first\n",
       "    // note with the \"plotroot\" class.\n",
       "    Element.prototype.plotroot = function () {\n",
       "        var element = this;\n",
       "        while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
       "            element = element.parent();\n",
       "        }\n",
       "        return element;\n",
       "    };\n",
       "\n",
       "    Element.prototype.svgroot = function () {\n",
       "        var element = this;\n",
       "        while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
       "            element = element.parent();\n",
       "        }\n",
       "        return element;\n",
       "    };\n",
       "\n",
       "    Element.prototype.plotbounds = function () {\n",
       "        var root = this.plotroot()\n",
       "        var bbox = root.select(\".guide.background\").node.getBBox();\n",
       "        return {\n",
       "            x0: bbox.x,\n",
       "            x1: bbox.x + bbox.width,\n",
       "            y0: bbox.y,\n",
       "            y1: bbox.y + bbox.height\n",
       "        };\n",
       "    };\n",
       "\n",
       "    Element.prototype.plotcenter = function () {\n",
       "        var root = this.plotroot()\n",
       "        var bbox = root.select(\".guide.background\").node.getBBox();\n",
       "        return {\n",
       "            x: bbox.x + bbox.width / 2,\n",
       "            y: bbox.y + bbox.height / 2\n",
       "        };\n",
       "    };\n",
       "\n",
       "    // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
       "    // does everything right.\n",
       "    // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
       "    var events = [\"mouseenter\", \"mouseleave\"];\n",
       "\n",
       "    for (i in events) {\n",
       "        (function (event_name) {\n",
       "            var event_name = events[i];\n",
       "            Element.prototype[event_name] = function (fn, scope) {\n",
       "                if (Snap.is(fn, \"function\")) {\n",
       "                    var fn2 = function (event) {\n",
       "                        if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
       "                            return;\n",
       "                        }\n",
       "\n",
       "                        var reltg = event.relatedTarget ? event.relatedTarget :\n",
       "                            event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
       "                        while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
       "\n",
       "                        if (reltg != this.node) {\n",
       "                            return fn.apply(this, event);\n",
       "                        }\n",
       "                    };\n",
       "\n",
       "                    if (event_name == \"mouseenter\") {\n",
       "                        this.mouseover(fn2, scope);\n",
       "                    } else {\n",
       "                        this.mouseout(fn2, scope);\n",
       "                    }\n",
       "                }\n",
       "                return this;\n",
       "            };\n",
       "        })(events[i]);\n",
       "    }\n",
       "\n",
       "\n",
       "    Element.prototype.mousewheel = function (fn, scope) {\n",
       "        if (Snap.is(fn, \"function\")) {\n",
       "            var el = this;\n",
       "            var fn2 = function (event) {\n",
       "                fn.apply(el, [event]);\n",
       "            };\n",
       "        }\n",
       "\n",
       "        this.node.addEventListener(\n",
       "            /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
       "            fn2);\n",
       "\n",
       "        return this;\n",
       "    };\n",
       "\n",
       "\n",
       "    // Snap's attr function can be too slow for things like panning/zooming.\n",
       "    // This is a function to directly update element attributes without going\n",
       "    // through eve.\n",
       "    Element.prototype.attribute = function(key, val) {\n",
       "        if (val === undefined) {\n",
       "            return this.node.getAttribute(key, val);\n",
       "        } else {\n",
       "            return this.node.setAttribute(key, val);\n",
       "        }\n",
       "    };\n",
       "});\n",
       "\n",
       "\n",
       "// When the plot is moused over, emphasize the grid lines.\n",
       "Gadfly.plot_mouseover = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "\n",
       "    var xgridlines = root.select(\".xgridlines\"),\n",
       "        ygridlines = root.select(\".ygridlines\");\n",
       "\n",
       "    xgridlines.data(\"unfocused_strokedash\",\n",
       "                    xgridlines.attr(\"stroke-dasharray\").replace(/px/g, \"mm\"))\n",
       "    ygridlines.data(\"unfocused_strokedash\",\n",
       "                    ygridlines.attr(\"stroke-dasharray\").replace(/px/g, \"mm\"))\n",
       "\n",
       "    // emphasize grid lines\n",
       "    var destcolor = root.data(\"focused_xgrid_color\");\n",
       "    xgridlines.attr(\"stroke-dasharray\", \"none\")\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    destcolor = root.data(\"focused_ygrid_color\");\n",
       "    ygridlines.attr(\"stroke-dasharray\", \"none\")\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    // reveal zoom slider\n",
       "    root.select(\".zoomslider\")\n",
       "        .animate({opacity: 1.0}, 250);\n",
       "};\n",
       "\n",
       "\n",
       "// Unemphasize grid lines on mouse out.\n",
       "Gadfly.plot_mouseout = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    var xgridlines = root.select(\".xgridlines\"),\n",
       "        ygridlines = root.select(\".ygridlines\");\n",
       "\n",
       "    var destcolor = root.data(\"unfocused_xgrid_color\");\n",
       "\n",
       "    xgridlines.attr(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    destcolor = root.data(\"unfocused_ygrid_color\");\n",
       "    ygridlines.attr(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    // hide zoom slider\n",
       "    root.select(\".zoomslider\")\n",
       "        .animate({opacity: 0.0}, 250);\n",
       "};\n",
       "\n",
       "\n",
       "var set_geometry_transform = function(root, tx, ty, scale) {\n",
       "    var xscalable = root.hasClass(\"xscalable\"),\n",
       "        yscalable = root.hasClass(\"yscalable\");\n",
       "\n",
       "    var old_scale = root.data(\"scale\");\n",
       "\n",
       "    var xscale = xscalable ? scale : 1.0,\n",
       "        yscale = yscalable ? scale : 1.0;\n",
       "\n",
       "    tx = xscalable ? tx : 0.0;\n",
       "    ty = yscalable ? ty : 0.0;\n",
       "\n",
       "    var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
       "\n",
       "    root.selectAll(\".geometry, image\")\n",
       "        .forEach(function (element, i) {\n",
       "            element.transform(t);\n",
       "        });\n",
       "\n",
       "    bounds = root.plotbounds();\n",
       "\n",
       "    if (yscalable) {\n",
       "        var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
       "        root.selectAll(\".xfixed\")\n",
       "            .forEach(function (element, i) {\n",
       "                element.transform(xfixed_t);\n",
       "            });\n",
       "\n",
       "        root.select(\".ylabels\")\n",
       "            .transform(xfixed_t)\n",
       "            .selectAll(\"text\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var cx = element.asPX(\"x\"),\n",
       "                        cy = element.asPX(\"y\");\n",
       "                    var st = element.data(\"static_transform\");\n",
       "                    unscale_t = new Snap.Matrix();\n",
       "                    unscale_t.scale(1, 1/scale, cx, cy).add(st);\n",
       "                    element.transform(unscale_t);\n",
       "\n",
       "                    var y = cy * scale + ty;\n",
       "                    element.attr(\"visibility\",\n",
       "                        bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    if (xscalable) {\n",
       "        var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
       "        var xtrans = new Snap.Matrix().translate(tx, 0);\n",
       "        root.selectAll(\".yfixed\")\n",
       "            .forEach(function (element, i) {\n",
       "                element.transform(yfixed_t);\n",
       "            });\n",
       "\n",
       "        root.select(\".xlabels\")\n",
       "            .transform(yfixed_t)\n",
       "            .selectAll(\"text\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var cx = element.asPX(\"x\"),\n",
       "                        cy = element.asPX(\"y\");\n",
       "                    var st = element.data(\"static_transform\");\n",
       "                    unscale_t = new Snap.Matrix();\n",
       "                    unscale_t.scale(1/scale, 1, cx, cy).add(st);\n",
       "\n",
       "                    element.transform(unscale_t);\n",
       "\n",
       "                    var x = cx * scale + tx;\n",
       "                    element.attr(\"visibility\",\n",
       "                        bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
       "                    }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    // we must unscale anything that is scale invariance: widths, raiduses, etc.\n",
       "    var size_attribs = [\"font-size\"];\n",
       "    var unscaled_selection = \".geometry, .geometry *\";\n",
       "    if (xscalable) {\n",
       "        size_attribs.push(\"rx\");\n",
       "        unscaled_selection += \", .xgridlines\";\n",
       "    }\n",
       "    if (yscalable) {\n",
       "        size_attribs.push(\"ry\");\n",
       "        unscaled_selection += \", .ygridlines\";\n",
       "    }\n",
       "\n",
       "    root.selectAll(unscaled_selection)\n",
       "        .forEach(function (element, i) {\n",
       "            // circle need special help\n",
       "            if (element.node.nodeName == \"circle\") {\n",
       "                var cx = element.attribute(\"cx\"),\n",
       "                    cy = element.attribute(\"cy\");\n",
       "                unscale_t = new Snap.Matrix().scale(1/xscale, 1/yscale,\n",
       "                                                        cx, cy);\n",
       "                element.transform(unscale_t);\n",
       "                return;\n",
       "            }\n",
       "\n",
       "            for (i in size_attribs) {\n",
       "                var key = size_attribs[i];\n",
       "                var val = parseFloat(element.attribute(key));\n",
       "                if (val !== undefined && val != 0 && !isNaN(val)) {\n",
       "                    element.attribute(key, val * old_scale / scale);\n",
       "                }\n",
       "            }\n",
       "        });\n",
       "};\n",
       "\n",
       "\n",
       "// Find the most appropriate tick scale and update label visibility.\n",
       "var update_tickscale = function(root, scale, axis) {\n",
       "    if (!root.hasClass(axis + \"scalable\")) return;\n",
       "\n",
       "    var tickscales = root.data(axis + \"tickscales\");\n",
       "    var best_tickscale = 1.0;\n",
       "    var best_tickscale_dist = Infinity;\n",
       "    for (tickscale in tickscales) {\n",
       "        var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
       "        if (dist < best_tickscale_dist) {\n",
       "            best_tickscale_dist = dist;\n",
       "            best_tickscale = tickscale;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
       "        root.data(axis + \"tickscale\", best_tickscale);\n",
       "        var mark_inscale_gridlines = function (element, i) {\n",
       "            var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
       "            element.attribute(\"gadfly:inscale\", inscale);\n",
       "            element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
       "        };\n",
       "\n",
       "        var mark_inscale_labels = function (element, i) {\n",
       "            var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
       "            element.attribute(\"gadfly:inscale\", inscale);\n",
       "            element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
       "        };\n",
       "\n",
       "        root.select(\".\" + axis + \"gridlines\").selectAll(\"path\").forEach(mark_inscale_gridlines);\n",
       "        root.select(\".\" + axis + \"labels\").selectAll(\"text\").forEach(mark_inscale_labels);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "var set_plot_pan_zoom = function(root, tx, ty, scale) {\n",
       "    var old_scale = root.data(\"scale\");\n",
       "    var bounds = root.plotbounds();\n",
       "\n",
       "    var width = bounds.x1 - bounds.x0,\n",
       "        height = bounds.y1 - bounds.y0;\n",
       "\n",
       "    // compute the viewport derived from tx, ty, and scale\n",
       "    var x_min = -width * scale - (scale * width - width),\n",
       "        x_max = width * scale,\n",
       "        y_min = -height * scale - (scale * height - height),\n",
       "        y_max = height * scale;\n",
       "\n",
       "    var x0 = bounds.x0 - scale * bounds.x0,\n",
       "        y0 = bounds.y0 - scale * bounds.y0;\n",
       "\n",
       "    var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
       "        ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
       "\n",
       "    tx += x0;\n",
       "    ty += y0;\n",
       "\n",
       "    // when the scale change, we may need to alter which set of\n",
       "    // ticks is being displayed\n",
       "    if (scale != old_scale) {\n",
       "        update_tickscale(root, scale, \"x\");\n",
       "        update_tickscale(root, scale, \"y\");\n",
       "    }\n",
       "\n",
       "    set_geometry_transform(root, tx, ty, scale);\n",
       "\n",
       "    root.data(\"scale\", scale);\n",
       "    root.data(\"tx\", tx);\n",
       "    root.data(\"ty\", ty);\n",
       "};\n",
       "\n",
       "\n",
       "var scale_centered_translation = function(root, scale) {\n",
       "    var bounds = root.plotbounds();\n",
       "\n",
       "    var width = bounds.x1 - bounds.x0,\n",
       "        height = bounds.y1 - bounds.y0;\n",
       "\n",
       "    var tx0 = root.data(\"tx\"),\n",
       "        ty0 = root.data(\"ty\");\n",
       "\n",
       "    var scale0 = root.data(\"scale\");\n",
       "\n",
       "    // how off from center the current view is\n",
       "    var xoff = tx0 - (bounds.x0 * (1 - scale0) + (width * (1 - scale0)) / 2),\n",
       "        yoff = ty0 - (bounds.y0 * (1 - scale0) + (height * (1 - scale0)) / 2);\n",
       "\n",
       "    // rescale offsets\n",
       "    xoff = xoff * scale / scale0;\n",
       "    yoff = yoff * scale / scale0;\n",
       "\n",
       "    // adjust for the panel position being scaled\n",
       "    var x_edge_adjust = bounds.x0 * (1 - scale),\n",
       "        y_edge_adjust = bounds.y0 * (1 - scale);\n",
       "\n",
       "    return {\n",
       "        x: xoff + x_edge_adjust + (width - width * scale) / 2,\n",
       "        y: yoff + y_edge_adjust + (height - height * scale) / 2\n",
       "    };\n",
       "};\n",
       "\n",
       "\n",
       "// Initialize data for panning zooming if it isn't already.\n",
       "var init_pan_zoom = function(root) {\n",
       "    if (root.data(\"zoompan-ready\")) {\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    // The non-scaling-stroke trick. Rather than try to correct for the\n",
       "    // stroke-width when zooming, we force it to a fixed value.\n",
       "    var px_per_mm = root.node.getCTM().a;\n",
       "\n",
       "    // Drag events report deltas in pixels, which we'd like to convert to\n",
       "    // millimeters.\n",
       "    root.data(\"px_per_mm\", px_per_mm);\n",
       "\n",
       "    root.selectAll(\"path\")\n",
       "        .forEach(function (element, i) {\n",
       "        sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
       "        if (sw > 0) {\n",
       "            element.attribute(\"stroke-width\", sw);\n",
       "            element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
       "        }\n",
       "    });\n",
       "\n",
       "    // Store ticks labels original tranformation\n",
       "    root.selectAll(\".xlabels > text, .ylabels > text\")\n",
       "        .forEach(function (element, i) {\n",
       "            var lm = element.transform().localMatrix;\n",
       "            element.data(\"static_transform\",\n",
       "                new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
       "        });\n",
       "\n",
       "    var xgridlines = root.select(\".xgridlines\");\n",
       "    var ygridlines = root.select(\".ygridlines\");\n",
       "    var xlabels = root.select(\".xlabels\");\n",
       "    var ylabels = root.select(\".ylabels\");\n",
       "\n",
       "    if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
       "    if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
       "    if (root.data(\"scale\") === undefined) root.data(\"scale\", 1.0);\n",
       "    if (root.data(\"xtickscales\") === undefined) {\n",
       "\n",
       "        // index all the tick scales that are listed\n",
       "        var xtickscales = {};\n",
       "        var ytickscales = {};\n",
       "        var add_x_tick_scales = function (element, i) {\n",
       "            xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
       "        };\n",
       "        var add_y_tick_scales = function (element, i) {\n",
       "            ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
       "        };\n",
       "\n",
       "        if (xgridlines) xgridlines.selectAll(\"path\").forEach(add_x_tick_scales);\n",
       "        if (ygridlines) ygridlines.selectAll(\"path\").forEach(add_y_tick_scales);\n",
       "        if (xlabels) xlabels.selectAll(\"text\").forEach(add_x_tick_scales);\n",
       "        if (ylabels) ylabels.selectAll(\"text\").forEach(add_y_tick_scales);\n",
       "\n",
       "        root.data(\"xtickscales\", xtickscales);\n",
       "        root.data(\"ytickscales\", ytickscales);\n",
       "        root.data(\"xtickscale\", 1.0);\n",
       "    }\n",
       "\n",
       "    var min_scale = 1.0, max_scale = 1.0;\n",
       "    for (scale in xtickscales) {\n",
       "        min_scale = Math.min(min_scale, scale);\n",
       "        max_scale = Math.max(max_scale, scale);\n",
       "    }\n",
       "    for (scale in ytickscales) {\n",
       "        min_scale = Math.min(min_scale, scale);\n",
       "        max_scale = Math.max(max_scale, scale);\n",
       "    }\n",
       "    root.data(\"min_scale\", min_scale);\n",
       "    root.data(\"max_scale\", max_scale);\n",
       "\n",
       "    // store the original positions of labels\n",
       "    if (xlabels) {\n",
       "        xlabels.selectAll(\"text\")\n",
       "               .forEach(function (element, i) {\n",
       "                   element.data(\"x\", element.asPX(\"x\"));\n",
       "               });\n",
       "    }\n",
       "\n",
       "    if (ylabels) {\n",
       "        ylabels.selectAll(\"text\")\n",
       "               .forEach(function (element, i) {\n",
       "                   element.data(\"y\", element.asPX(\"y\"));\n",
       "               });\n",
       "    }\n",
       "\n",
       "    // mark grid lines and ticks as in or out of scale.\n",
       "    var mark_inscale = function (element, i) {\n",
       "        element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
       "    };\n",
       "\n",
       "    if (xgridlines) xgridlines.selectAll(\"path\").forEach(mark_inscale);\n",
       "    if (ygridlines) ygridlines.selectAll(\"path\").forEach(mark_inscale);\n",
       "    if (xlabels) xlabels.selectAll(\"text\").forEach(mark_inscale);\n",
       "    if (ylabels) ylabels.selectAll(\"text\").forEach(mark_inscale);\n",
       "\n",
       "    // figure out the upper ond lower bounds on panning using the maximum\n",
       "    // and minum grid lines\n",
       "    var bounds = root.plotbounds();\n",
       "    var pan_bounds = {\n",
       "        x0: 0.0,\n",
       "        y0: 0.0,\n",
       "        x1: 0.0,\n",
       "        y1: 0.0\n",
       "    };\n",
       "\n",
       "    if (xgridlines) {\n",
       "        xgridlines\n",
       "            .selectAll(\"path\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var bbox = element.node.getBBox();\n",
       "                    if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
       "                        pan_bounds.x0 = bounds.x1 - bbox.x;\n",
       "                    }\n",
       "                    if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
       "                        pan_bounds.x1 = bounds.x0 - bbox.x;\n",
       "                    }\n",
       "                    element.attr(\"visibility\", \"visible\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    if (ygridlines) {\n",
       "        ygridlines\n",
       "            .selectAll(\"path\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var bbox = element.node.getBBox();\n",
       "                    if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
       "                        pan_bounds.y0 = bounds.y1 - bbox.y;\n",
       "                    }\n",
       "                    if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
       "                        pan_bounds.y1 = bounds.y0 - bbox.y;\n",
       "                    }\n",
       "                    element.attr(\"visibility\", \"visible\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    // nudge these values a little\n",
       "    pan_bounds.x0 -= 5;\n",
       "    pan_bounds.x1 += 5;\n",
       "    pan_bounds.y0 -= 5;\n",
       "    pan_bounds.y1 += 5;\n",
       "    root.data(\"pan_bounds\", pan_bounds);\n",
       "\n",
       "    root.data(\"zoompan-ready\", true)\n",
       "};\n",
       "\n",
       "\n",
       "// Panning\n",
       "Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
       "    var root = this.plotroot();\n",
       "    var px_per_mm = root.data(\"px_per_mm\");\n",
       "    dx /= px_per_mm;\n",
       "    dy /= px_per_mm;\n",
       "\n",
       "    var tx0 = root.data(\"tx\"),\n",
       "        ty0 = root.data(\"ty\");\n",
       "\n",
       "    var dx0 = root.data(\"dx\"),\n",
       "        dy0 = root.data(\"dy\");\n",
       "\n",
       "    root.data(\"dx\", dx);\n",
       "    root.data(\"dy\", dy);\n",
       "\n",
       "    dx = dx - dx0;\n",
       "    dy = dy - dy0;\n",
       "\n",
       "    var tx = tx0 + dx,\n",
       "        ty = ty0 + dy;\n",
       "\n",
       "    set_plot_pan_zoom(root, tx, ty, root.data(\"scale\"));\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
       "    var root = this.plotroot();\n",
       "    root.data(\"dx\", 0);\n",
       "    root.data(\"dy\", 0);\n",
       "    init_pan_zoom(root);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_drag_onend = function(event) {\n",
       "    var root = this.plotroot();\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_scroll = function(event) {\n",
       "    if (event.shiftKey) {\n",
       "        var root = this.plotroot();\n",
       "        init_pan_zoom(root);\n",
       "        var new_scale = root.data(\"scale\") * Math.pow(2, 0.002 * event.wheelDelta);\n",
       "        new_scale = Math.max(\n",
       "            root.data(\"min_scale\"),\n",
       "            Math.min(root.data(\"max_scale\"), new_scale))\n",
       "        update_plot_scale(root, new_scale);\n",
       "        event.stopPropagation();\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_button_mouseover = function(event) {\n",
       "    this.select(\".button_logo\")\n",
       "         .animate({fill: this.data(\"mouseover_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_button_mouseout = function(event) {\n",
       "     this.select(\".button_logo\")\n",
       "         .animate({fill: this.data(\"mouseout_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_zoomout_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "    var min_scale = root.data(\"min_scale\"),\n",
       "        scale = root.data(\"scale\");\n",
       "    Snap.animate(\n",
       "        scale,\n",
       "        Math.max(min_scale, scale / 1.5),\n",
       "        function (new_scale) {\n",
       "            update_plot_scale(root, new_scale);\n",
       "        },\n",
       "        200);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_zoomin_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "    var max_scale = root.data(\"max_scale\"),\n",
       "        scale = root.data(\"scale\");\n",
       "\n",
       "    Snap.animate(\n",
       "        scale,\n",
       "        Math.min(max_scale, scale * 1.5),\n",
       "        function (new_scale) {\n",
       "            update_plot_scale(root, new_scale);\n",
       "        },\n",
       "        200);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_track_click = function(event) {\n",
       "    // TODO\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_mousedown = function(event) {\n",
       "    this.animate({fill: this.data(\"mouseover_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_mouseup = function(event) {\n",
       "    this.animate({fill: this.data(\"mouseout_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "// compute the position in [0, 1] of the zoom slider thumb from the current scale\n",
       "var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
       "    if (scale >= 1.0) {\n",
       "        return 0.5 + 0.5 * (Math.log(scale) / Math.log(max_scale));\n",
       "    }\n",
       "    else {\n",
       "        return 0.5 * (Math.log(scale) - Math.log(min_scale)) / (0 - Math.log(min_scale));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "var update_plot_scale = function(root, new_scale) {\n",
       "    var trans = scale_centered_translation(root, new_scale);\n",
       "    set_plot_pan_zoom(root, trans.x, trans.y, new_scale);\n",
       "\n",
       "    root.selectAll(\".zoomslider_thumb\")\n",
       "        .forEach(function (element, i) {\n",
       "            var min_pos = element.data(\"min_pos\"),\n",
       "                max_pos = element.data(\"max_pos\"),\n",
       "                min_scale = root.data(\"min_scale\"),\n",
       "                max_scale = root.data(\"max_scale\");\n",
       "            var xmid = (min_pos + max_pos) / 2;\n",
       "            var xpos = slider_position_from_scale(new_scale, min_scale, max_scale);\n",
       "            element.transform(new Snap.Matrix().translate(\n",
       "                Math.max(min_pos, Math.min(\n",
       "                         max_pos, min_pos + (max_pos - min_pos) * xpos)) - xmid, 0));\n",
       "    });\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragmove = function(dx, dy, x, y) {\n",
       "    var root = this.plotroot();\n",
       "    var min_pos = this.data(\"min_pos\"),\n",
       "        max_pos = this.data(\"max_pos\"),\n",
       "        min_scale = root.data(\"min_scale\"),\n",
       "        max_scale = root.data(\"max_scale\"),\n",
       "        old_scale = root.data(\"old_scale\");\n",
       "\n",
       "    var px_per_mm = root.data(\"px_per_mm\");\n",
       "    dx /= px_per_mm;\n",
       "    dy /= px_per_mm;\n",
       "\n",
       "    var xmid = (min_pos + max_pos) / 2;\n",
       "    var xpos = slider_position_from_scale(old_scale, min_scale, max_scale) +\n",
       "                   dx / (max_pos - min_pos);\n",
       "\n",
       "    // compute the new scale\n",
       "    var new_scale;\n",
       "    if (xpos >= 0.5) {\n",
       "        new_scale = Math.exp(2.0 * (xpos - 0.5) * Math.log(max_scale));\n",
       "    }\n",
       "    else {\n",
       "        new_scale = Math.exp(2.0 * xpos * (0 - Math.log(min_scale)) +\n",
       "                        Math.log(min_scale));\n",
       "    }\n",
       "    new_scale = Math.min(max_scale, Math.max(min_scale, new_scale));\n",
       "\n",
       "    update_plot_scale(root, new_scale);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragstart = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "\n",
       "    // keep track of what the scale was when we started dragging\n",
       "    root.data(\"old_scale\", root.data(\"scale\"));\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragend = function(event) {\n",
       "};\n",
       "\n",
       "\n",
       "var toggle_color_class = function(root, color_class, ison) {\n",
       "    var guides = root.selectAll(\".guide.\" + color_class + \",.guide .\" + color_class);\n",
       "    var geoms = root.selectAll(\".geometry.\" + color_class + \",.geometry .\" + color_class);\n",
       "    if (ison) {\n",
       "        guides.animate({opacity: 0.5}, 250);\n",
       "        geoms.animate({opacity: 0.0}, 250);\n",
       "    } else {\n",
       "        guides.animate({opacity: 1.0}, 250);\n",
       "        geoms.animate({opacity: 1.0}, 250);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.colorkey_swatch_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    var color_class = this.data(\"color_class\");\n",
       "\n",
       "    if (event.shiftKey) {\n",
       "        root.selectAll(\".colorkey text\")\n",
       "            .forEach(function (element) {\n",
       "                var other_color_class = element.data(\"color_class\");\n",
       "                if (other_color_class != color_class) {\n",
       "                    toggle_color_class(root, other_color_class,\n",
       "                                       element.attr(\"opacity\") == 1.0);\n",
       "                }\n",
       "            });\n",
       "    } else {\n",
       "        toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "return Gadfly;\n",
       "\n",
       "}));\n",
       "\n",
       "\n",
       "//@ sourceURL=gadfly.js\n",
       "\n",
       "\n",
       "(function (glob, factory) {\n",
       "    // AMD support\n",
       "    if (typeof define === \"function\" && define.amd) {\n",
       "        // Define as an anonymous module\n",
       "        define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
       "            return factory(Snap);\n",
       "        });\n",
       "    } else {\n",
       "        // Browser globals (glob is window)\n",
       "        // Snap adds itself to window\n",
       "        glob.Gadfly = factory(glob.Snap);\n",
       "    }\n",
       "}(this, function (Snap) {\n",
       "\n",
       "var Gadfly = {};\n",
       "\n",
       "// Get an x/y coordinate value in pixels\n",
       "var xPX = function(fig, x) {\n",
       "    var client_box = fig.node.getBoundingClientRect();\n",
       "    return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
       "};\n",
       "\n",
       "var yPX = function(fig, y) {\n",
       "    var client_box = fig.node.getBoundingClientRect();\n",
       "    return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
       "};\n",
       "\n",
       "\n",
       "Snap.plugin(function (Snap, Element, Paper, global) {\n",
       "    // Traverse upwards from a snap element to find and return the first\n",
       "    // note with the \"plotroot\" class.\n",
       "    Element.prototype.plotroot = function () {\n",
       "        var element = this;\n",
       "        while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
       "            element = element.parent();\n",
       "        }\n",
       "        return element;\n",
       "    };\n",
       "\n",
       "    Element.prototype.svgroot = function () {\n",
       "        var element = this;\n",
       "        while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
       "            element = element.parent();\n",
       "        }\n",
       "        return element;\n",
       "    };\n",
       "\n",
       "    Element.prototype.plotbounds = function () {\n",
       "        var root = this.plotroot()\n",
       "        var bbox = root.select(\".guide.background\").node.getBBox();\n",
       "        return {\n",
       "            x0: bbox.x,\n",
       "            x1: bbox.x + bbox.width,\n",
       "            y0: bbox.y,\n",
       "            y1: bbox.y + bbox.height\n",
       "        };\n",
       "    };\n",
       "\n",
       "    Element.prototype.plotcenter = function () {\n",
       "        var root = this.plotroot()\n",
       "        var bbox = root.select(\".guide.background\").node.getBBox();\n",
       "        return {\n",
       "            x: bbox.x + bbox.width / 2,\n",
       "            y: bbox.y + bbox.height / 2\n",
       "        };\n",
       "    };\n",
       "\n",
       "    // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
       "    // does everything right.\n",
       "    // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
       "    var events = [\"mouseenter\", \"mouseleave\"];\n",
       "\n",
       "    for (i in events) {\n",
       "        (function (event_name) {\n",
       "            var event_name = events[i];\n",
       "            Element.prototype[event_name] = function (fn, scope) {\n",
       "                if (Snap.is(fn, \"function\")) {\n",
       "                    var fn2 = function (event) {\n",
       "                        if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
       "                            return;\n",
       "                        }\n",
       "\n",
       "                        var reltg = event.relatedTarget ? event.relatedTarget :\n",
       "                            event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
       "                        while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
       "\n",
       "                        if (reltg != this.node) {\n",
       "                            return fn.apply(this, event);\n",
       "                        }\n",
       "                    };\n",
       "\n",
       "                    if (event_name == \"mouseenter\") {\n",
       "                        this.mouseover(fn2, scope);\n",
       "                    } else {\n",
       "                        this.mouseout(fn2, scope);\n",
       "                    }\n",
       "                }\n",
       "                return this;\n",
       "            };\n",
       "        })(events[i]);\n",
       "    }\n",
       "\n",
       "\n",
       "    Element.prototype.mousewheel = function (fn, scope) {\n",
       "        if (Snap.is(fn, \"function\")) {\n",
       "            var el = this;\n",
       "            var fn2 = function (event) {\n",
       "                fn.apply(el, [event]);\n",
       "            };\n",
       "        }\n",
       "\n",
       "        this.node.addEventListener(\n",
       "            /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
       "            fn2);\n",
       "\n",
       "        return this;\n",
       "    };\n",
       "\n",
       "\n",
       "    // Snap's attr function can be too slow for things like panning/zooming.\n",
       "    // This is a function to directly update element attributes without going\n",
       "    // through eve.\n",
       "    Element.prototype.attribute = function(key, val) {\n",
       "        if (val === undefined) {\n",
       "            return this.node.getAttribute(key, val);\n",
       "        } else {\n",
       "            return this.node.setAttribute(key, val);\n",
       "        }\n",
       "    };\n",
       "});\n",
       "\n",
       "\n",
       "// When the plot is moused over, emphasize the grid lines.\n",
       "Gadfly.plot_mouseover = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "\n",
       "    var xgridlines = root.select(\".xgridlines\"),\n",
       "        ygridlines = root.select(\".ygridlines\");\n",
       "\n",
       "    xgridlines.data(\"unfocused_strokedash\",\n",
       "                    xgridlines.attr(\"stroke-dasharray\").replace(/px/g, \"mm\"))\n",
       "    ygridlines.data(\"unfocused_strokedash\",\n",
       "                    ygridlines.attr(\"stroke-dasharray\").replace(/px/g, \"mm\"))\n",
       "\n",
       "    // emphasize grid lines\n",
       "    var destcolor = root.data(\"focused_xgrid_color\");\n",
       "    xgridlines.attr(\"stroke-dasharray\", \"none\")\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    destcolor = root.data(\"focused_ygrid_color\");\n",
       "    ygridlines.attr(\"stroke-dasharray\", \"none\")\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    // reveal zoom slider\n",
       "    root.select(\".zoomslider\")\n",
       "        .animate({opacity: 1.0}, 250);\n",
       "};\n",
       "\n",
       "\n",
       "// Unemphasize grid lines on mouse out.\n",
       "Gadfly.plot_mouseout = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    var xgridlines = root.select(\".xgridlines\"),\n",
       "        ygridlines = root.select(\".ygridlines\");\n",
       "\n",
       "    var destcolor = root.data(\"unfocused_xgrid_color\");\n",
       "\n",
       "    xgridlines.attr(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    destcolor = root.data(\"unfocused_ygrid_color\");\n",
       "    ygridlines.attr(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    // hide zoom slider\n",
       "    root.select(\".zoomslider\")\n",
       "        .animate({opacity: 0.0}, 250);\n",
       "};\n",
       "\n",
       "\n",
       "var set_geometry_transform = function(root, tx, ty, scale) {\n",
       "    var xscalable = root.hasClass(\"xscalable\"),\n",
       "        yscalable = root.hasClass(\"yscalable\");\n",
       "\n",
       "    var old_scale = root.data(\"scale\");\n",
       "\n",
       "    var xscale = xscalable ? scale : 1.0,\n",
       "        yscale = yscalable ? scale : 1.0;\n",
       "\n",
       "    tx = xscalable ? tx : 0.0;\n",
       "    ty = yscalable ? ty : 0.0;\n",
       "\n",
       "    var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
       "\n",
       "    root.selectAll(\".geometry, image\")\n",
       "        .forEach(function (element, i) {\n",
       "            element.transform(t);\n",
       "        });\n",
       "\n",
       "    bounds = root.plotbounds();\n",
       "\n",
       "    if (yscalable) {\n",
       "        var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
       "        root.selectAll(\".xfixed\")\n",
       "            .forEach(function (element, i) {\n",
       "                element.transform(xfixed_t);\n",
       "            });\n",
       "\n",
       "        root.select(\".ylabels\")\n",
       "            .transform(xfixed_t)\n",
       "            .selectAll(\"text\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var cx = element.asPX(\"x\"),\n",
       "                        cy = element.asPX(\"y\");\n",
       "                    var st = element.data(\"static_transform\");\n",
       "                    unscale_t = new Snap.Matrix();\n",
       "                    unscale_t.scale(1, 1/scale, cx, cy).add(st);\n",
       "                    element.transform(unscale_t);\n",
       "\n",
       "                    var y = cy * scale + ty;\n",
       "                    element.attr(\"visibility\",\n",
       "                        bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    if (xscalable) {\n",
       "        var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
       "        var xtrans = new Snap.Matrix().translate(tx, 0);\n",
       "        root.selectAll(\".yfixed\")\n",
       "            .forEach(function (element, i) {\n",
       "                element.transform(yfixed_t);\n",
       "            });\n",
       "\n",
       "        root.select(\".xlabels\")\n",
       "            .transform(yfixed_t)\n",
       "            .selectAll(\"text\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var cx = element.asPX(\"x\"),\n",
       "                        cy = element.asPX(\"y\");\n",
       "                    var st = element.data(\"static_transform\");\n",
       "                    unscale_t = new Snap.Matrix();\n",
       "                    unscale_t.scale(1/scale, 1, cx, cy).add(st);\n",
       "\n",
       "                    element.transform(unscale_t);\n",
       "\n",
       "                    var x = cx * scale + tx;\n",
       "                    element.attr(\"visibility\",\n",
       "                        bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
       "                    }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    // we must unscale anything that is scale invariance: widths, raiduses, etc.\n",
       "    var size_attribs = [\"font-size\"];\n",
       "    var unscaled_selection = \".geometry, .geometry *\";\n",
       "    if (xscalable) {\n",
       "        size_attribs.push(\"rx\");\n",
       "        unscaled_selection += \", .xgridlines\";\n",
       "    }\n",
       "    if (yscalable) {\n",
       "        size_attribs.push(\"ry\");\n",
       "        unscaled_selection += \", .ygridlines\";\n",
       "    }\n",
       "\n",
       "    root.selectAll(unscaled_selection)\n",
       "        .forEach(function (element, i) {\n",
       "            // circle need special help\n",
       "            if (element.node.nodeName == \"circle\") {\n",
       "                var cx = element.attribute(\"cx\"),\n",
       "                    cy = element.attribute(\"cy\");\n",
       "                unscale_t = new Snap.Matrix().scale(1/xscale, 1/yscale,\n",
       "                                                        cx, cy);\n",
       "                element.transform(unscale_t);\n",
       "                return;\n",
       "            }\n",
       "\n",
       "            for (i in size_attribs) {\n",
       "                var key = size_attribs[i];\n",
       "                var val = parseFloat(element.attribute(key));\n",
       "                if (val !== undefined && val != 0 && !isNaN(val)) {\n",
       "                    element.attribute(key, val * old_scale / scale);\n",
       "                }\n",
       "            }\n",
       "        });\n",
       "};\n",
       "\n",
       "\n",
       "// Find the most appropriate tick scale and update label visibility.\n",
       "var update_tickscale = function(root, scale, axis) {\n",
       "    if (!root.hasClass(axis + \"scalable\")) return;\n",
       "\n",
       "    var tickscales = root.data(axis + \"tickscales\");\n",
       "    var best_tickscale = 1.0;\n",
       "    var best_tickscale_dist = Infinity;\n",
       "    for (tickscale in tickscales) {\n",
       "        var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
       "        if (dist < best_tickscale_dist) {\n",
       "            best_tickscale_dist = dist;\n",
       "            best_tickscale = tickscale;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
       "        root.data(axis + \"tickscale\", best_tickscale);\n",
       "        var mark_inscale_gridlines = function (element, i) {\n",
       "            var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
       "            element.attribute(\"gadfly:inscale\", inscale);\n",
       "            element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
       "        };\n",
       "\n",
       "        var mark_inscale_labels = function (element, i) {\n",
       "            var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
       "            element.attribute(\"gadfly:inscale\", inscale);\n",
       "            element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
       "        };\n",
       "\n",
       "        root.select(\".\" + axis + \"gridlines\").selectAll(\"path\").forEach(mark_inscale_gridlines);\n",
       "        root.select(\".\" + axis + \"labels\").selectAll(\"text\").forEach(mark_inscale_labels);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "var set_plot_pan_zoom = function(root, tx, ty, scale) {\n",
       "    var old_scale = root.data(\"scale\");\n",
       "    var bounds = root.plotbounds();\n",
       "\n",
       "    var width = bounds.x1 - bounds.x0,\n",
       "        height = bounds.y1 - bounds.y0;\n",
       "\n",
       "    // compute the viewport derived from tx, ty, and scale\n",
       "    var x_min = -width * scale - (scale * width - width),\n",
       "        x_max = width * scale,\n",
       "        y_min = -height * scale - (scale * height - height),\n",
       "        y_max = height * scale;\n",
       "\n",
       "    var x0 = bounds.x0 - scale * bounds.x0,\n",
       "        y0 = bounds.y0 - scale * bounds.y0;\n",
       "\n",
       "    var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
       "        ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
       "\n",
       "    tx += x0;\n",
       "    ty += y0;\n",
       "\n",
       "    // when the scale change, we may need to alter which set of\n",
       "    // ticks is being displayed\n",
       "    if (scale != old_scale) {\n",
       "        update_tickscale(root, scale, \"x\");\n",
       "        update_tickscale(root, scale, \"y\");\n",
       "    }\n",
       "\n",
       "    set_geometry_transform(root, tx, ty, scale);\n",
       "\n",
       "    root.data(\"scale\", scale);\n",
       "    root.data(\"tx\", tx);\n",
       "    root.data(\"ty\", ty);\n",
       "};\n",
       "\n",
       "\n",
       "var scale_centered_translation = function(root, scale) {\n",
       "    var bounds = root.plotbounds();\n",
       "\n",
       "    var width = bounds.x1 - bounds.x0,\n",
       "        height = bounds.y1 - bounds.y0;\n",
       "\n",
       "    var tx0 = root.data(\"tx\"),\n",
       "        ty0 = root.data(\"ty\");\n",
       "\n",
       "    var scale0 = root.data(\"scale\");\n",
       "\n",
       "    // how off from center the current view is\n",
       "    var xoff = tx0 - (bounds.x0 * (1 - scale0) + (width * (1 - scale0)) / 2),\n",
       "        yoff = ty0 - (bounds.y0 * (1 - scale0) + (height * (1 - scale0)) / 2);\n",
       "\n",
       "    // rescale offsets\n",
       "    xoff = xoff * scale / scale0;\n",
       "    yoff = yoff * scale / scale0;\n",
       "\n",
       "    // adjust for the panel position being scaled\n",
       "    var x_edge_adjust = bounds.x0 * (1 - scale),\n",
       "        y_edge_adjust = bounds.y0 * (1 - scale);\n",
       "\n",
       "    return {\n",
       "        x: xoff + x_edge_adjust + (width - width * scale) / 2,\n",
       "        y: yoff + y_edge_adjust + (height - height * scale) / 2\n",
       "    };\n",
       "};\n",
       "\n",
       "\n",
       "// Initialize data for panning zooming if it isn't already.\n",
       "var init_pan_zoom = function(root) {\n",
       "    if (root.data(\"zoompan-ready\")) {\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    // The non-scaling-stroke trick. Rather than try to correct for the\n",
       "    // stroke-width when zooming, we force it to a fixed value.\n",
       "    var px_per_mm = root.node.getCTM().a;\n",
       "\n",
       "    // Drag events report deltas in pixels, which we'd like to convert to\n",
       "    // millimeters.\n",
       "    root.data(\"px_per_mm\", px_per_mm);\n",
       "\n",
       "    root.selectAll(\"path\")\n",
       "        .forEach(function (element, i) {\n",
       "        sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
       "        if (sw > 0) {\n",
       "            element.attribute(\"stroke-width\", sw);\n",
       "            element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
       "        }\n",
       "    });\n",
       "\n",
       "    // Store ticks labels original tranformation\n",
       "    root.selectAll(\".xlabels > text, .ylabels > text\")\n",
       "        .forEach(function (element, i) {\n",
       "            var lm = element.transform().localMatrix;\n",
       "            element.data(\"static_transform\",\n",
       "                new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
       "        });\n",
       "\n",
       "    var xgridlines = root.select(\".xgridlines\");\n",
       "    var ygridlines = root.select(\".ygridlines\");\n",
       "    var xlabels = root.select(\".xlabels\");\n",
       "    var ylabels = root.select(\".ylabels\");\n",
       "\n",
       "    if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
       "    if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
       "    if (root.data(\"scale\") === undefined) root.data(\"scale\", 1.0);\n",
       "    if (root.data(\"xtickscales\") === undefined) {\n",
       "\n",
       "        // index all the tick scales that are listed\n",
       "        var xtickscales = {};\n",
       "        var ytickscales = {};\n",
       "        var add_x_tick_scales = function (element, i) {\n",
       "            xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
       "        };\n",
       "        var add_y_tick_scales = function (element, i) {\n",
       "            ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
       "        };\n",
       "\n",
       "        if (xgridlines) xgridlines.selectAll(\"path\").forEach(add_x_tick_scales);\n",
       "        if (ygridlines) ygridlines.selectAll(\"path\").forEach(add_y_tick_scales);\n",
       "        if (xlabels) xlabels.selectAll(\"text\").forEach(add_x_tick_scales);\n",
       "        if (ylabels) ylabels.selectAll(\"text\").forEach(add_y_tick_scales);\n",
       "\n",
       "        root.data(\"xtickscales\", xtickscales);\n",
       "        root.data(\"ytickscales\", ytickscales);\n",
       "        root.data(\"xtickscale\", 1.0);\n",
       "    }\n",
       "\n",
       "    var min_scale = 1.0, max_scale = 1.0;\n",
       "    for (scale in xtickscales) {\n",
       "        min_scale = Math.min(min_scale, scale);\n",
       "        max_scale = Math.max(max_scale, scale);\n",
       "    }\n",
       "    for (scale in ytickscales) {\n",
       "        min_scale = Math.min(min_scale, scale);\n",
       "        max_scale = Math.max(max_scale, scale);\n",
       "    }\n",
       "    root.data(\"min_scale\", min_scale);\n",
       "    root.data(\"max_scale\", max_scale);\n",
       "\n",
       "    // store the original positions of labels\n",
       "    if (xlabels) {\n",
       "        xlabels.selectAll(\"text\")\n",
       "               .forEach(function (element, i) {\n",
       "                   element.data(\"x\", element.asPX(\"x\"));\n",
       "               });\n",
       "    }\n",
       "\n",
       "    if (ylabels) {\n",
       "        ylabels.selectAll(\"text\")\n",
       "               .forEach(function (element, i) {\n",
       "                   element.data(\"y\", element.asPX(\"y\"));\n",
       "               });\n",
       "    }\n",
       "\n",
       "    // mark grid lines and ticks as in or out of scale.\n",
       "    var mark_inscale = function (element, i) {\n",
       "        element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
       "    };\n",
       "\n",
       "    if (xgridlines) xgridlines.selectAll(\"path\").forEach(mark_inscale);\n",
       "    if (ygridlines) ygridlines.selectAll(\"path\").forEach(mark_inscale);\n",
       "    if (xlabels) xlabels.selectAll(\"text\").forEach(mark_inscale);\n",
       "    if (ylabels) ylabels.selectAll(\"text\").forEach(mark_inscale);\n",
       "\n",
       "    // figure out the upper ond lower bounds on panning using the maximum\n",
       "    // and minum grid lines\n",
       "    var bounds = root.plotbounds();\n",
       "    var pan_bounds = {\n",
       "        x0: 0.0,\n",
       "        y0: 0.0,\n",
       "        x1: 0.0,\n",
       "        y1: 0.0\n",
       "    };\n",
       "\n",
       "    if (xgridlines) {\n",
       "        xgridlines\n",
       "            .selectAll(\"path\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var bbox = element.node.getBBox();\n",
       "                    if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
       "                        pan_bounds.x0 = bounds.x1 - bbox.x;\n",
       "                    }\n",
       "                    if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
       "                        pan_bounds.x1 = bounds.x0 - bbox.x;\n",
       "                    }\n",
       "                    element.attr(\"visibility\", \"visible\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    if (ygridlines) {\n",
       "        ygridlines\n",
       "            .selectAll(\"path\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var bbox = element.node.getBBox();\n",
       "                    if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
       "                        pan_bounds.y0 = bounds.y1 - bbox.y;\n",
       "                    }\n",
       "                    if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
       "                        pan_bounds.y1 = bounds.y0 - bbox.y;\n",
       "                    }\n",
       "                    element.attr(\"visibility\", \"visible\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    // nudge these values a little\n",
       "    pan_bounds.x0 -= 5;\n",
       "    pan_bounds.x1 += 5;\n",
       "    pan_bounds.y0 -= 5;\n",
       "    pan_bounds.y1 += 5;\n",
       "    root.data(\"pan_bounds\", pan_bounds);\n",
       "\n",
       "    root.data(\"zoompan-ready\", true)\n",
       "};\n",
       "\n",
       "\n",
       "// Panning\n",
       "Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
       "    var root = this.plotroot();\n",
       "    var px_per_mm = root.data(\"px_per_mm\");\n",
       "    dx /= px_per_mm;\n",
       "    dy /= px_per_mm;\n",
       "\n",
       "    var tx0 = root.data(\"tx\"),\n",
       "        ty0 = root.data(\"ty\");\n",
       "\n",
       "    var dx0 = root.data(\"dx\"),\n",
       "        dy0 = root.data(\"dy\");\n",
       "\n",
       "    root.data(\"dx\", dx);\n",
       "    root.data(\"dy\", dy);\n",
       "\n",
       "    dx = dx - dx0;\n",
       "    dy = dy - dy0;\n",
       "\n",
       "    var tx = tx0 + dx,\n",
       "        ty = ty0 + dy;\n",
       "\n",
       "    set_plot_pan_zoom(root, tx, ty, root.data(\"scale\"));\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
       "    var root = this.plotroot();\n",
       "    root.data(\"dx\", 0);\n",
       "    root.data(\"dy\", 0);\n",
       "    init_pan_zoom(root);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_drag_onend = function(event) {\n",
       "    var root = this.plotroot();\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_scroll = function(event) {\n",
       "    if (event.shiftKey) {\n",
       "        var root = this.plotroot();\n",
       "        init_pan_zoom(root);\n",
       "        var new_scale = root.data(\"scale\") * Math.pow(2, 0.002 * event.wheelDelta);\n",
       "        new_scale = Math.max(\n",
       "            root.data(\"min_scale\"),\n",
       "            Math.min(root.data(\"max_scale\"), new_scale))\n",
       "        update_plot_scale(root, new_scale);\n",
       "        event.stopPropagation();\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_button_mouseover = function(event) {\n",
       "    this.select(\".button_logo\")\n",
       "         .animate({fill: this.data(\"mouseover_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_button_mouseout = function(event) {\n",
       "     this.select(\".button_logo\")\n",
       "         .animate({fill: this.data(\"mouseout_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_zoomout_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "    var min_scale = root.data(\"min_scale\"),\n",
       "        scale = root.data(\"scale\");\n",
       "    Snap.animate(\n",
       "        scale,\n",
       "        Math.max(min_scale, scale / 1.5),\n",
       "        function (new_scale) {\n",
       "            update_plot_scale(root, new_scale);\n",
       "        },\n",
       "        200);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_zoomin_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "    var max_scale = root.data(\"max_scale\"),\n",
       "        scale = root.data(\"scale\");\n",
       "\n",
       "    Snap.animate(\n",
       "        scale,\n",
       "        Math.min(max_scale, scale * 1.5),\n",
       "        function (new_scale) {\n",
       "            update_plot_scale(root, new_scale);\n",
       "        },\n",
       "        200);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_track_click = function(event) {\n",
       "    // TODO\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_mousedown = function(event) {\n",
       "    this.animate({fill: this.data(\"mouseover_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_mouseup = function(event) {\n",
       "    this.animate({fill: this.data(\"mouseout_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "// compute the position in [0, 1] of the zoom slider thumb from the current scale\n",
       "var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
       "    if (scale >= 1.0) {\n",
       "        return 0.5 + 0.5 * (Math.log(scale) / Math.log(max_scale));\n",
       "    }\n",
       "    else {\n",
       "        return 0.5 * (Math.log(scale) - Math.log(min_scale)) / (0 - Math.log(min_scale));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "var update_plot_scale = function(root, new_scale) {\n",
       "    var trans = scale_centered_translation(root, new_scale);\n",
       "    set_plot_pan_zoom(root, trans.x, trans.y, new_scale);\n",
       "\n",
       "    root.selectAll(\".zoomslider_thumb\")\n",
       "        .forEach(function (element, i) {\n",
       "            var min_pos = element.data(\"min_pos\"),\n",
       "                max_pos = element.data(\"max_pos\"),\n",
       "                min_scale = root.data(\"min_scale\"),\n",
       "                max_scale = root.data(\"max_scale\");\n",
       "            var xmid = (min_pos + max_pos) / 2;\n",
       "            var xpos = slider_position_from_scale(new_scale, min_scale, max_scale);\n",
       "            element.transform(new Snap.Matrix().translate(\n",
       "                Math.max(min_pos, Math.min(\n",
       "                         max_pos, min_pos + (max_pos - min_pos) * xpos)) - xmid, 0));\n",
       "    });\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragmove = function(dx, dy, x, y) {\n",
       "    var root = this.plotroot();\n",
       "    var min_pos = this.data(\"min_pos\"),\n",
       "        max_pos = this.data(\"max_pos\"),\n",
       "        min_scale = root.data(\"min_scale\"),\n",
       "        max_scale = root.data(\"max_scale\"),\n",
       "        old_scale = root.data(\"old_scale\");\n",
       "\n",
       "    var px_per_mm = root.data(\"px_per_mm\");\n",
       "    dx /= px_per_mm;\n",
       "    dy /= px_per_mm;\n",
       "\n",
       "    var xmid = (min_pos + max_pos) / 2;\n",
       "    var xpos = slider_position_from_scale(old_scale, min_scale, max_scale) +\n",
       "                   dx / (max_pos - min_pos);\n",
       "\n",
       "    // compute the new scale\n",
       "    var new_scale;\n",
       "    if (xpos >= 0.5) {\n",
       "        new_scale = Math.exp(2.0 * (xpos - 0.5) * Math.log(max_scale));\n",
       "    }\n",
       "    else {\n",
       "        new_scale = Math.exp(2.0 * xpos * (0 - Math.log(min_scale)) +\n",
       "                        Math.log(min_scale));\n",
       "    }\n",
       "    new_scale = Math.min(max_scale, Math.max(min_scale, new_scale));\n",
       "\n",
       "    update_plot_scale(root, new_scale);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragstart = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "\n",
       "    // keep track of what the scale was when we started dragging\n",
       "    root.data(\"old_scale\", root.data(\"scale\"));\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragend = function(event) {\n",
       "};\n",
       "\n",
       "\n",
       "var toggle_color_class = function(root, color_class, ison) {\n",
       "    var guides = root.selectAll(\".guide.\" + color_class + \",.guide .\" + color_class);\n",
       "    var geoms = root.selectAll(\".geometry.\" + color_class + \",.geometry .\" + color_class);\n",
       "    if (ison) {\n",
       "        guides.animate({opacity: 0.5}, 250);\n",
       "        geoms.animate({opacity: 0.0}, 250);\n",
       "    } else {\n",
       "        guides.animate({opacity: 1.0}, 250);\n",
       "        geoms.animate({opacity: 1.0}, 250);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.colorkey_swatch_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    var color_class = this.data(\"color_class\");\n",
       "\n",
       "    if (event.shiftKey) {\n",
       "        root.selectAll(\".colorkey text\")\n",
       "            .forEach(function (element) {\n",
       "                var other_color_class = element.data(\"color_class\");\n",
       "                if (other_color_class != color_class) {\n",
       "                    toggle_color_class(root, other_color_class,\n",
       "                                       element.attr(\"opacity\") == 1.0);\n",
       "                }\n",
       "            });\n",
       "    } else {\n",
       "        toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "return Gadfly;\n",
       "\n",
       "}));\n",
       "\n",
       "\n",
       "//@ sourceURL=gadfly.js\n",
       "\n",
       "\n",
       "(function (glob, factory) {\n",
       "    // AMD support\n",
       "    if (typeof define === \"function\" && define.amd) {\n",
       "        // Define as an anonymous module\n",
       "        define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
       "            return factory(Snap);\n",
       "        });\n",
       "    } else {\n",
       "        // Browser globals (glob is window)\n",
       "        // Snap adds itself to window\n",
       "        glob.Gadfly = factory(glob.Snap);\n",
       "    }\n",
       "}(this, function (Snap) {\n",
       "\n",
       "var Gadfly = {};\n",
       "\n",
       "// Get an x/y coordinate value in pixels\n",
       "var xPX = function(fig, x) {\n",
       "    var client_box = fig.node.getBoundingClientRect();\n",
       "    return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
       "};\n",
       "\n",
       "var yPX = function(fig, y) {\n",
       "    var client_box = fig.node.getBoundingClientRect();\n",
       "    return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
       "};\n",
       "\n",
       "\n",
       "Snap.plugin(function (Snap, Element, Paper, global) {\n",
       "    // Traverse upwards from a snap element to find and return the first\n",
       "    // note with the \"plotroot\" class.\n",
       "    Element.prototype.plotroot = function () {\n",
       "        var element = this;\n",
       "        while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
       "            element = element.parent();\n",
       "        }\n",
       "        return element;\n",
       "    };\n",
       "\n",
       "    Element.prototype.svgroot = function () {\n",
       "        var element = this;\n",
       "        while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
       "            element = element.parent();\n",
       "        }\n",
       "        return element;\n",
       "    };\n",
       "\n",
       "    Element.prototype.plotbounds = function () {\n",
       "        var root = this.plotroot()\n",
       "        var bbox = root.select(\".guide.background\").node.getBBox();\n",
       "        return {\n",
       "            x0: bbox.x,\n",
       "            x1: bbox.x + bbox.width,\n",
       "            y0: bbox.y,\n",
       "            y1: bbox.y + bbox.height\n",
       "        };\n",
       "    };\n",
       "\n",
       "    Element.prototype.plotcenter = function () {\n",
       "        var root = this.plotroot()\n",
       "        var bbox = root.select(\".guide.background\").node.getBBox();\n",
       "        return {\n",
       "            x: bbox.x + bbox.width / 2,\n",
       "            y: bbox.y + bbox.height / 2\n",
       "        };\n",
       "    };\n",
       "\n",
       "    // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
       "    // does everything right.\n",
       "    // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
       "    var events = [\"mouseenter\", \"mouseleave\"];\n",
       "\n",
       "    for (i in events) {\n",
       "        (function (event_name) {\n",
       "            var event_name = events[i];\n",
       "            Element.prototype[event_name] = function (fn, scope) {\n",
       "                if (Snap.is(fn, \"function\")) {\n",
       "                    var fn2 = function (event) {\n",
       "                        if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
       "                            return;\n",
       "                        }\n",
       "\n",
       "                        var reltg = event.relatedTarget ? event.relatedTarget :\n",
       "                            event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
       "                        while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
       "\n",
       "                        if (reltg != this.node) {\n",
       "                            return fn.apply(this, event);\n",
       "                        }\n",
       "                    };\n",
       "\n",
       "                    if (event_name == \"mouseenter\") {\n",
       "                        this.mouseover(fn2, scope);\n",
       "                    } else {\n",
       "                        this.mouseout(fn2, scope);\n",
       "                    }\n",
       "                }\n",
       "                return this;\n",
       "            };\n",
       "        })(events[i]);\n",
       "    }\n",
       "\n",
       "\n",
       "    Element.prototype.mousewheel = function (fn, scope) {\n",
       "        if (Snap.is(fn, \"function\")) {\n",
       "            var el = this;\n",
       "            var fn2 = function (event) {\n",
       "                fn.apply(el, [event]);\n",
       "            };\n",
       "        }\n",
       "\n",
       "        this.node.addEventListener(\n",
       "            /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
       "            fn2);\n",
       "\n",
       "        return this;\n",
       "    };\n",
       "\n",
       "\n",
       "    // Snap's attr function can be too slow for things like panning/zooming.\n",
       "    // This is a function to directly update element attributes without going\n",
       "    // through eve.\n",
       "    Element.prototype.attribute = function(key, val) {\n",
       "        if (val === undefined) {\n",
       "            return this.node.getAttribute(key, val);\n",
       "        } else {\n",
       "            return this.node.setAttribute(key, val);\n",
       "        }\n",
       "    };\n",
       "});\n",
       "\n",
       "\n",
       "// When the plot is moused over, emphasize the grid lines.\n",
       "Gadfly.plot_mouseover = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "\n",
       "    var xgridlines = root.select(\".xgridlines\"),\n",
       "        ygridlines = root.select(\".ygridlines\");\n",
       "\n",
       "    xgridlines.data(\"unfocused_strokedash\",\n",
       "                    xgridlines.attr(\"stroke-dasharray\").replace(/px/g, \"mm\"))\n",
       "    ygridlines.data(\"unfocused_strokedash\",\n",
       "                    ygridlines.attr(\"stroke-dasharray\").replace(/px/g, \"mm\"))\n",
       "\n",
       "    // emphasize grid lines\n",
       "    var destcolor = root.data(\"focused_xgrid_color\");\n",
       "    xgridlines.attr(\"stroke-dasharray\", \"none\")\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    destcolor = root.data(\"focused_ygrid_color\");\n",
       "    ygridlines.attr(\"stroke-dasharray\", \"none\")\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    // reveal zoom slider\n",
       "    root.select(\".zoomslider\")\n",
       "        .animate({opacity: 1.0}, 250);\n",
       "};\n",
       "\n",
       "\n",
       "// Unemphasize grid lines on mouse out.\n",
       "Gadfly.plot_mouseout = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    var xgridlines = root.select(\".xgridlines\"),\n",
       "        ygridlines = root.select(\".ygridlines\");\n",
       "\n",
       "    var destcolor = root.data(\"unfocused_xgrid_color\");\n",
       "\n",
       "    xgridlines.attr(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    destcolor = root.data(\"unfocused_ygrid_color\");\n",
       "    ygridlines.attr(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
       "              .selectAll(\"path\")\n",
       "              .animate({stroke: destcolor}, 250);\n",
       "\n",
       "    // hide zoom slider\n",
       "    root.select(\".zoomslider\")\n",
       "        .animate({opacity: 0.0}, 250);\n",
       "};\n",
       "\n",
       "\n",
       "var set_geometry_transform = function(root, tx, ty, scale) {\n",
       "    var xscalable = root.hasClass(\"xscalable\"),\n",
       "        yscalable = root.hasClass(\"yscalable\");\n",
       "\n",
       "    var old_scale = root.data(\"scale\");\n",
       "\n",
       "    var xscale = xscalable ? scale : 1.0,\n",
       "        yscale = yscalable ? scale : 1.0;\n",
       "\n",
       "    tx = xscalable ? tx : 0.0;\n",
       "    ty = yscalable ? ty : 0.0;\n",
       "\n",
       "    var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
       "\n",
       "    root.selectAll(\".geometry, image\")\n",
       "        .forEach(function (element, i) {\n",
       "            element.transform(t);\n",
       "        });\n",
       "\n",
       "    bounds = root.plotbounds();\n",
       "\n",
       "    if (yscalable) {\n",
       "        var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
       "        root.selectAll(\".xfixed\")\n",
       "            .forEach(function (element, i) {\n",
       "                element.transform(xfixed_t);\n",
       "            });\n",
       "\n",
       "        root.select(\".ylabels\")\n",
       "            .transform(xfixed_t)\n",
       "            .selectAll(\"text\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var cx = element.asPX(\"x\"),\n",
       "                        cy = element.asPX(\"y\");\n",
       "                    var st = element.data(\"static_transform\");\n",
       "                    unscale_t = new Snap.Matrix();\n",
       "                    unscale_t.scale(1, 1/scale, cx, cy).add(st);\n",
       "                    element.transform(unscale_t);\n",
       "\n",
       "                    var y = cy * scale + ty;\n",
       "                    element.attr(\"visibility\",\n",
       "                        bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    if (xscalable) {\n",
       "        var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
       "        var xtrans = new Snap.Matrix().translate(tx, 0);\n",
       "        root.selectAll(\".yfixed\")\n",
       "            .forEach(function (element, i) {\n",
       "                element.transform(yfixed_t);\n",
       "            });\n",
       "\n",
       "        root.select(\".xlabels\")\n",
       "            .transform(yfixed_t)\n",
       "            .selectAll(\"text\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var cx = element.asPX(\"x\"),\n",
       "                        cy = element.asPX(\"y\");\n",
       "                    var st = element.data(\"static_transform\");\n",
       "                    unscale_t = new Snap.Matrix();\n",
       "                    unscale_t.scale(1/scale, 1, cx, cy).add(st);\n",
       "\n",
       "                    element.transform(unscale_t);\n",
       "\n",
       "                    var x = cx * scale + tx;\n",
       "                    element.attr(\"visibility\",\n",
       "                        bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
       "                    }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    // we must unscale anything that is scale invariance: widths, raiduses, etc.\n",
       "    var size_attribs = [\"font-size\"];\n",
       "    var unscaled_selection = \".geometry, .geometry *\";\n",
       "    if (xscalable) {\n",
       "        size_attribs.push(\"rx\");\n",
       "        unscaled_selection += \", .xgridlines\";\n",
       "    }\n",
       "    if (yscalable) {\n",
       "        size_attribs.push(\"ry\");\n",
       "        unscaled_selection += \", .ygridlines\";\n",
       "    }\n",
       "\n",
       "    root.selectAll(unscaled_selection)\n",
       "        .forEach(function (element, i) {\n",
       "            // circle need special help\n",
       "            if (element.node.nodeName == \"circle\") {\n",
       "                var cx = element.attribute(\"cx\"),\n",
       "                    cy = element.attribute(\"cy\");\n",
       "                unscale_t = new Snap.Matrix().scale(1/xscale, 1/yscale,\n",
       "                                                        cx, cy);\n",
       "                element.transform(unscale_t);\n",
       "                return;\n",
       "            }\n",
       "\n",
       "            for (i in size_attribs) {\n",
       "                var key = size_attribs[i];\n",
       "                var val = parseFloat(element.attribute(key));\n",
       "                if (val !== undefined && val != 0 && !isNaN(val)) {\n",
       "                    element.attribute(key, val * old_scale / scale);\n",
       "                }\n",
       "            }\n",
       "        });\n",
       "};\n",
       "\n",
       "\n",
       "// Find the most appropriate tick scale and update label visibility.\n",
       "var update_tickscale = function(root, scale, axis) {\n",
       "    if (!root.hasClass(axis + \"scalable\")) return;\n",
       "\n",
       "    var tickscales = root.data(axis + \"tickscales\");\n",
       "    var best_tickscale = 1.0;\n",
       "    var best_tickscale_dist = Infinity;\n",
       "    for (tickscale in tickscales) {\n",
       "        var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
       "        if (dist < best_tickscale_dist) {\n",
       "            best_tickscale_dist = dist;\n",
       "            best_tickscale = tickscale;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
       "        root.data(axis + \"tickscale\", best_tickscale);\n",
       "        var mark_inscale_gridlines = function (element, i) {\n",
       "            var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
       "            element.attribute(\"gadfly:inscale\", inscale);\n",
       "            element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
       "        };\n",
       "\n",
       "        var mark_inscale_labels = function (element, i) {\n",
       "            var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
       "            element.attribute(\"gadfly:inscale\", inscale);\n",
       "            element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
       "        };\n",
       "\n",
       "        root.select(\".\" + axis + \"gridlines\").selectAll(\"path\").forEach(mark_inscale_gridlines);\n",
       "        root.select(\".\" + axis + \"labels\").selectAll(\"text\").forEach(mark_inscale_labels);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "var set_plot_pan_zoom = function(root, tx, ty, scale) {\n",
       "    var old_scale = root.data(\"scale\");\n",
       "    var bounds = root.plotbounds();\n",
       "\n",
       "    var width = bounds.x1 - bounds.x0,\n",
       "        height = bounds.y1 - bounds.y0;\n",
       "\n",
       "    // compute the viewport derived from tx, ty, and scale\n",
       "    var x_min = -width * scale - (scale * width - width),\n",
       "        x_max = width * scale,\n",
       "        y_min = -height * scale - (scale * height - height),\n",
       "        y_max = height * scale;\n",
       "\n",
       "    var x0 = bounds.x0 - scale * bounds.x0,\n",
       "        y0 = bounds.y0 - scale * bounds.y0;\n",
       "\n",
       "    var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
       "        ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
       "\n",
       "    tx += x0;\n",
       "    ty += y0;\n",
       "\n",
       "    // when the scale change, we may need to alter which set of\n",
       "    // ticks is being displayed\n",
       "    if (scale != old_scale) {\n",
       "        update_tickscale(root, scale, \"x\");\n",
       "        update_tickscale(root, scale, \"y\");\n",
       "    }\n",
       "\n",
       "    set_geometry_transform(root, tx, ty, scale);\n",
       "\n",
       "    root.data(\"scale\", scale);\n",
       "    root.data(\"tx\", tx);\n",
       "    root.data(\"ty\", ty);\n",
       "};\n",
       "\n",
       "\n",
       "var scale_centered_translation = function(root, scale) {\n",
       "    var bounds = root.plotbounds();\n",
       "\n",
       "    var width = bounds.x1 - bounds.x0,\n",
       "        height = bounds.y1 - bounds.y0;\n",
       "\n",
       "    var tx0 = root.data(\"tx\"),\n",
       "        ty0 = root.data(\"ty\");\n",
       "\n",
       "    var scale0 = root.data(\"scale\");\n",
       "\n",
       "    // how off from center the current view is\n",
       "    var xoff = tx0 - (bounds.x0 * (1 - scale0) + (width * (1 - scale0)) / 2),\n",
       "        yoff = ty0 - (bounds.y0 * (1 - scale0) + (height * (1 - scale0)) / 2);\n",
       "\n",
       "    // rescale offsets\n",
       "    xoff = xoff * scale / scale0;\n",
       "    yoff = yoff * scale / scale0;\n",
       "\n",
       "    // adjust for the panel position being scaled\n",
       "    var x_edge_adjust = bounds.x0 * (1 - scale),\n",
       "        y_edge_adjust = bounds.y0 * (1 - scale);\n",
       "\n",
       "    return {\n",
       "        x: xoff + x_edge_adjust + (width - width * scale) / 2,\n",
       "        y: yoff + y_edge_adjust + (height - height * scale) / 2\n",
       "    };\n",
       "};\n",
       "\n",
       "\n",
       "// Initialize data for panning zooming if it isn't already.\n",
       "var init_pan_zoom = function(root) {\n",
       "    if (root.data(\"zoompan-ready\")) {\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    // The non-scaling-stroke trick. Rather than try to correct for the\n",
       "    // stroke-width when zooming, we force it to a fixed value.\n",
       "    var px_per_mm = root.node.getCTM().a;\n",
       "\n",
       "    // Drag events report deltas in pixels, which we'd like to convert to\n",
       "    // millimeters.\n",
       "    root.data(\"px_per_mm\", px_per_mm);\n",
       "\n",
       "    root.selectAll(\"path\")\n",
       "        .forEach(function (element, i) {\n",
       "        sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
       "        if (sw > 0) {\n",
       "            element.attribute(\"stroke-width\", sw);\n",
       "            element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
       "        }\n",
       "    });\n",
       "\n",
       "    // Store ticks labels original tranformation\n",
       "    root.selectAll(\".xlabels > text, .ylabels > text\")\n",
       "        .forEach(function (element, i) {\n",
       "            var lm = element.transform().localMatrix;\n",
       "            element.data(\"static_transform\",\n",
       "                new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
       "        });\n",
       "\n",
       "    var xgridlines = root.select(\".xgridlines\");\n",
       "    var ygridlines = root.select(\".ygridlines\");\n",
       "    var xlabels = root.select(\".xlabels\");\n",
       "    var ylabels = root.select(\".ylabels\");\n",
       "\n",
       "    if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
       "    if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
       "    if (root.data(\"scale\") === undefined) root.data(\"scale\", 1.0);\n",
       "    if (root.data(\"xtickscales\") === undefined) {\n",
       "\n",
       "        // index all the tick scales that are listed\n",
       "        var xtickscales = {};\n",
       "        var ytickscales = {};\n",
       "        var add_x_tick_scales = function (element, i) {\n",
       "            xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
       "        };\n",
       "        var add_y_tick_scales = function (element, i) {\n",
       "            ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
       "        };\n",
       "\n",
       "        if (xgridlines) xgridlines.selectAll(\"path\").forEach(add_x_tick_scales);\n",
       "        if (ygridlines) ygridlines.selectAll(\"path\").forEach(add_y_tick_scales);\n",
       "        if (xlabels) xlabels.selectAll(\"text\").forEach(add_x_tick_scales);\n",
       "        if (ylabels) ylabels.selectAll(\"text\").forEach(add_y_tick_scales);\n",
       "\n",
       "        root.data(\"xtickscales\", xtickscales);\n",
       "        root.data(\"ytickscales\", ytickscales);\n",
       "        root.data(\"xtickscale\", 1.0);\n",
       "    }\n",
       "\n",
       "    var min_scale = 1.0, max_scale = 1.0;\n",
       "    for (scale in xtickscales) {\n",
       "        min_scale = Math.min(min_scale, scale);\n",
       "        max_scale = Math.max(max_scale, scale);\n",
       "    }\n",
       "    for (scale in ytickscales) {\n",
       "        min_scale = Math.min(min_scale, scale);\n",
       "        max_scale = Math.max(max_scale, scale);\n",
       "    }\n",
       "    root.data(\"min_scale\", min_scale);\n",
       "    root.data(\"max_scale\", max_scale);\n",
       "\n",
       "    // store the original positions of labels\n",
       "    if (xlabels) {\n",
       "        xlabels.selectAll(\"text\")\n",
       "               .forEach(function (element, i) {\n",
       "                   element.data(\"x\", element.asPX(\"x\"));\n",
       "               });\n",
       "    }\n",
       "\n",
       "    if (ylabels) {\n",
       "        ylabels.selectAll(\"text\")\n",
       "               .forEach(function (element, i) {\n",
       "                   element.data(\"y\", element.asPX(\"y\"));\n",
       "               });\n",
       "    }\n",
       "\n",
       "    // mark grid lines and ticks as in or out of scale.\n",
       "    var mark_inscale = function (element, i) {\n",
       "        element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
       "    };\n",
       "\n",
       "    if (xgridlines) xgridlines.selectAll(\"path\").forEach(mark_inscale);\n",
       "    if (ygridlines) ygridlines.selectAll(\"path\").forEach(mark_inscale);\n",
       "    if (xlabels) xlabels.selectAll(\"text\").forEach(mark_inscale);\n",
       "    if (ylabels) ylabels.selectAll(\"text\").forEach(mark_inscale);\n",
       "\n",
       "    // figure out the upper ond lower bounds on panning using the maximum\n",
       "    // and minum grid lines\n",
       "    var bounds = root.plotbounds();\n",
       "    var pan_bounds = {\n",
       "        x0: 0.0,\n",
       "        y0: 0.0,\n",
       "        x1: 0.0,\n",
       "        y1: 0.0\n",
       "    };\n",
       "\n",
       "    if (xgridlines) {\n",
       "        xgridlines\n",
       "            .selectAll(\"path\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var bbox = element.node.getBBox();\n",
       "                    if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
       "                        pan_bounds.x0 = bounds.x1 - bbox.x;\n",
       "                    }\n",
       "                    if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
       "                        pan_bounds.x1 = bounds.x0 - bbox.x;\n",
       "                    }\n",
       "                    element.attr(\"visibility\", \"visible\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    if (ygridlines) {\n",
       "        ygridlines\n",
       "            .selectAll(\"path\")\n",
       "            .forEach(function (element, i) {\n",
       "                if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
       "                    var bbox = element.node.getBBox();\n",
       "                    if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
       "                        pan_bounds.y0 = bounds.y1 - bbox.y;\n",
       "                    }\n",
       "                    if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
       "                        pan_bounds.y1 = bounds.y0 - bbox.y;\n",
       "                    }\n",
       "                    element.attr(\"visibility\", \"visible\");\n",
       "                }\n",
       "            });\n",
       "    }\n",
       "\n",
       "    // nudge these values a little\n",
       "    pan_bounds.x0 -= 5;\n",
       "    pan_bounds.x1 += 5;\n",
       "    pan_bounds.y0 -= 5;\n",
       "    pan_bounds.y1 += 5;\n",
       "    root.data(\"pan_bounds\", pan_bounds);\n",
       "\n",
       "    root.data(\"zoompan-ready\", true)\n",
       "};\n",
       "\n",
       "\n",
       "// Panning\n",
       "Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
       "    var root = this.plotroot();\n",
       "    var px_per_mm = root.data(\"px_per_mm\");\n",
       "    dx /= px_per_mm;\n",
       "    dy /= px_per_mm;\n",
       "\n",
       "    var tx0 = root.data(\"tx\"),\n",
       "        ty0 = root.data(\"ty\");\n",
       "\n",
       "    var dx0 = root.data(\"dx\"),\n",
       "        dy0 = root.data(\"dy\");\n",
       "\n",
       "    root.data(\"dx\", dx);\n",
       "    root.data(\"dy\", dy);\n",
       "\n",
       "    dx = dx - dx0;\n",
       "    dy = dy - dy0;\n",
       "\n",
       "    var tx = tx0 + dx,\n",
       "        ty = ty0 + dy;\n",
       "\n",
       "    set_plot_pan_zoom(root, tx, ty, root.data(\"scale\"));\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
       "    var root = this.plotroot();\n",
       "    root.data(\"dx\", 0);\n",
       "    root.data(\"dy\", 0);\n",
       "    init_pan_zoom(root);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_drag_onend = function(event) {\n",
       "    var root = this.plotroot();\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.guide_background_scroll = function(event) {\n",
       "    if (event.shiftKey) {\n",
       "        var root = this.plotroot();\n",
       "        init_pan_zoom(root);\n",
       "        var new_scale = root.data(\"scale\") * Math.pow(2, 0.002 * event.wheelDelta);\n",
       "        new_scale = Math.max(\n",
       "            root.data(\"min_scale\"),\n",
       "            Math.min(root.data(\"max_scale\"), new_scale))\n",
       "        update_plot_scale(root, new_scale);\n",
       "        event.stopPropagation();\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_button_mouseover = function(event) {\n",
       "    this.select(\".button_logo\")\n",
       "         .animate({fill: this.data(\"mouseover_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_button_mouseout = function(event) {\n",
       "     this.select(\".button_logo\")\n",
       "         .animate({fill: this.data(\"mouseout_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_zoomout_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "    var min_scale = root.data(\"min_scale\"),\n",
       "        scale = root.data(\"scale\");\n",
       "    Snap.animate(\n",
       "        scale,\n",
       "        Math.max(min_scale, scale / 1.5),\n",
       "        function (new_scale) {\n",
       "            update_plot_scale(root, new_scale);\n",
       "        },\n",
       "        200);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_zoomin_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "    var max_scale = root.data(\"max_scale\"),\n",
       "        scale = root.data(\"scale\");\n",
       "\n",
       "    Snap.animate(\n",
       "        scale,\n",
       "        Math.min(max_scale, scale * 1.5),\n",
       "        function (new_scale) {\n",
       "            update_plot_scale(root, new_scale);\n",
       "        },\n",
       "        200);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_track_click = function(event) {\n",
       "    // TODO\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_mousedown = function(event) {\n",
       "    this.animate({fill: this.data(\"mouseover_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_mouseup = function(event) {\n",
       "    this.animate({fill: this.data(\"mouseout_color\")}, 100);\n",
       "};\n",
       "\n",
       "\n",
       "// compute the position in [0, 1] of the zoom slider thumb from the current scale\n",
       "var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
       "    if (scale >= 1.0) {\n",
       "        return 0.5 + 0.5 * (Math.log(scale) / Math.log(max_scale));\n",
       "    }\n",
       "    else {\n",
       "        return 0.5 * (Math.log(scale) - Math.log(min_scale)) / (0 - Math.log(min_scale));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "var update_plot_scale = function(root, new_scale) {\n",
       "    var trans = scale_centered_translation(root, new_scale);\n",
       "    set_plot_pan_zoom(root, trans.x, trans.y, new_scale);\n",
       "\n",
       "    root.selectAll(\".zoomslider_thumb\")\n",
       "        .forEach(function (element, i) {\n",
       "            var min_pos = element.data(\"min_pos\"),\n",
       "                max_pos = element.data(\"max_pos\"),\n",
       "                min_scale = root.data(\"min_scale\"),\n",
       "                max_scale = root.data(\"max_scale\");\n",
       "            var xmid = (min_pos + max_pos) / 2;\n",
       "            var xpos = slider_position_from_scale(new_scale, min_scale, max_scale);\n",
       "            element.transform(new Snap.Matrix().translate(\n",
       "                Math.max(min_pos, Math.min(\n",
       "                         max_pos, min_pos + (max_pos - min_pos) * xpos)) - xmid, 0));\n",
       "    });\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragmove = function(dx, dy, x, y) {\n",
       "    var root = this.plotroot();\n",
       "    var min_pos = this.data(\"min_pos\"),\n",
       "        max_pos = this.data(\"max_pos\"),\n",
       "        min_scale = root.data(\"min_scale\"),\n",
       "        max_scale = root.data(\"max_scale\"),\n",
       "        old_scale = root.data(\"old_scale\");\n",
       "\n",
       "    var px_per_mm = root.data(\"px_per_mm\");\n",
       "    dx /= px_per_mm;\n",
       "    dy /= px_per_mm;\n",
       "\n",
       "    var xmid = (min_pos + max_pos) / 2;\n",
       "    var xpos = slider_position_from_scale(old_scale, min_scale, max_scale) +\n",
       "                   dx / (max_pos - min_pos);\n",
       "\n",
       "    // compute the new scale\n",
       "    var new_scale;\n",
       "    if (xpos >= 0.5) {\n",
       "        new_scale = Math.exp(2.0 * (xpos - 0.5) * Math.log(max_scale));\n",
       "    }\n",
       "    else {\n",
       "        new_scale = Math.exp(2.0 * xpos * (0 - Math.log(min_scale)) +\n",
       "                        Math.log(min_scale));\n",
       "    }\n",
       "    new_scale = Math.min(max_scale, Math.max(min_scale, new_scale));\n",
       "\n",
       "    update_plot_scale(root, new_scale);\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragstart = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    init_pan_zoom(root);\n",
       "\n",
       "    // keep track of what the scale was when we started dragging\n",
       "    root.data(\"old_scale\", root.data(\"scale\"));\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.zoomslider_thumb_dragend = function(event) {\n",
       "};\n",
       "\n",
       "\n",
       "var toggle_color_class = function(root, color_class, ison) {\n",
       "    var guides = root.selectAll(\".guide.\" + color_class + \",.guide .\" + color_class);\n",
       "    var geoms = root.selectAll(\".geometry.\" + color_class + \",.geometry .\" + color_class);\n",
       "    if (ison) {\n",
       "        guides.animate({opacity: 0.5}, 250);\n",
       "        geoms.animate({opacity: 0.0}, 250);\n",
       "    } else {\n",
       "        guides.animate({opacity: 1.0}, 250);\n",
       "        geoms.animate({opacity: 1.0}, 250);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "Gadfly.colorkey_swatch_click = function(event) {\n",
       "    var root = this.plotroot();\n",
       "    var color_class = this.data(\"color_class\");\n",
       "\n",
       "    if (event.shiftKey) {\n",
       "        root.selectAll(\".colorkey text\")\n",
       "            .forEach(function (element) {\n",
       "                var other_color_class = element.data(\"color_class\");\n",
       "                if (other_color_class != color_class) {\n",
       "                    toggle_color_class(root, other_color_class,\n",
       "                                       element.attr(\"opacity\") == 1.0);\n",
       "                }\n",
       "            });\n",
       "    } else {\n",
       "        toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
       "    }\n",
       "};\n",
       "\n",
       "\n",
       "return Gadfly;\n",
       "\n",
       "}));\n",
       "\n",
       "\n",
       "//@ sourceURL=gadfly.js\n",
       "\n",
       "(function (glob, factory) {\n",
       "    // AMD support\n",
       "      if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
       "        require([\"Snap.svg\", \"Gadfly\", \"Gadfly\", \"Gadfly\"], function (Snap, Gadfly, Gadfly, Gadfly) {\n",
       "            factory(Snap, Gadfly, Gadfly, Gadfly);\n",
       "        });\n",
       "      } else {\n",
       "          factory(glob.Snap, glob.Gadfly, glob.Gadfly, glob.Gadfly);\n",
       "      }\n",
       "})(window, function (Snap, Gadfly, Gadfly, Gadfly) {\n",
       "    var fig = Snap(\"#fig-711fd9b484c547019140be8e2015dc5a\");\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-4\")\n",
       "   .drag(function() {}, function() {}, function() {});\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-6\")\n",
       "   .data(\"color_class\", \"color_u1\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-7\")\n",
       "   .data(\"color_class\", \"color_u2\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-9\")\n",
       "   .data(\"color_class\", \"color_u1\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-10\")\n",
       "   .data(\"color_class\", \"color_u2\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-15\")\n",
       "   .mouseenter(Gadfly.plot_mouseover)\n",
       ".mouseleave(Gadfly.plot_mouseout)\n",
       ".mousewheel(Gadfly.guide_background_scroll)\n",
       ".drag(Gadfly.guide_background_drag_onmove,\n",
       "      Gadfly.guide_background_drag_onstart,\n",
       "      Gadfly.guide_background_drag_onend)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-19\")\n",
       "   .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-19\")\n",
       "   .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-126\")\n",
       "   .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-126\")\n",
       "   .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-247\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-247\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-247\")\n",
       "   .click(Gadfly.zoomslider_zoomin_click)\n",
       ".mouseenter(Gadfly.zoomslider_button_mouseover)\n",
       ".mouseleave(Gadfly.zoomslider_button_mouseout)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-251\")\n",
       "   .data(\"max_pos\", 122.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-251\")\n",
       "   .data(\"min_pos\", 105.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-251\")\n",
       "   .click(Gadfly.zoomslider_track_click);\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-253\")\n",
       "   .data(\"max_pos\", 122.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-253\")\n",
       "   .data(\"min_pos\", 105.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-253\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-253\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-253\")\n",
       "   .drag(Gadfly.zoomslider_thumb_dragmove,\n",
       "     Gadfly.zoomslider_thumb_dragstart,\n",
       "     Gadfly.zoomslider_thumb_dragend)\n",
       ".mousedown(Gadfly.zoomslider_thumb_mousedown)\n",
       ".mouseup(Gadfly.zoomslider_thumb_mouseup)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-255\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-255\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-255\")\n",
       "   .click(Gadfly.zoomslider_zoomout_click)\n",
       ".mouseenter(Gadfly.zoomslider_button_mouseover)\n",
       ".mouseleave(Gadfly.zoomslider_button_mouseout)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-483\")\n",
       "   .drag(function() {}, function() {}, function() {});\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-485\")\n",
       "   .data(\"color_class\", \"color_x1\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-486\")\n",
       "   .data(\"color_class\", \"color_x2\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-488\")\n",
       "   .data(\"color_class\", \"color_x1\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-489\")\n",
       "   .data(\"color_class\", \"color_x2\")\n",
       ".click(Gadfly.colorkey_swatch_click)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-494\")\n",
       "   .mouseenter(Gadfly.plot_mouseover)\n",
       ".mouseleave(Gadfly.plot_mouseout)\n",
       ".mousewheel(Gadfly.guide_background_scroll)\n",
       ".drag(Gadfly.guide_background_drag_onmove,\n",
       "      Gadfly.guide_background_drag_onstart,\n",
       "      Gadfly.guide_background_drag_onend)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-498\")\n",
       "   .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-498\")\n",
       "   .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-614\")\n",
       "   .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-614\")\n",
       "   .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-732\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-732\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-732\")\n",
       "   .click(Gadfly.zoomslider_zoomin_click)\n",
       ".mouseenter(Gadfly.zoomslider_button_mouseover)\n",
       ".mouseleave(Gadfly.zoomslider_button_mouseout)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-736\")\n",
       "   .data(\"max_pos\", 122.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-736\")\n",
       "   .data(\"min_pos\", 105.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-736\")\n",
       "   .click(Gadfly.zoomslider_track_click);\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-738\")\n",
       "   .data(\"max_pos\", 122.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-738\")\n",
       "   .data(\"min_pos\", 105.56)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-738\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-738\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-738\")\n",
       "   .drag(Gadfly.zoomslider_thumb_dragmove,\n",
       "     Gadfly.zoomslider_thumb_dragstart,\n",
       "     Gadfly.zoomslider_thumb_dragend)\n",
       ".mousedown(Gadfly.zoomslider_thumb_mousedown)\n",
       ".mouseup(Gadfly.zoomslider_thumb_mouseup)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-740\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-740\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-740\")\n",
       "   .click(Gadfly.zoomslider_zoomout_click)\n",
       ".mouseenter(Gadfly.zoomslider_button_mouseover)\n",
       ".mouseleave(Gadfly.zoomslider_button_mouseout)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-979\")\n",
       "   .mouseenter(Gadfly.plot_mouseover)\n",
       ".mouseleave(Gadfly.plot_mouseout)\n",
       ".mousewheel(Gadfly.guide_background_scroll)\n",
       ".drag(Gadfly.guide_background_drag_onmove,\n",
       "      Gadfly.guide_background_drag_onstart,\n",
       "      Gadfly.guide_background_drag_onend)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-983\")\n",
       "   .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-983\")\n",
       "   .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1113\")\n",
       "   .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1113\")\n",
       "   .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1229\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1229\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1229\")\n",
       "   .click(Gadfly.zoomslider_zoomin_click)\n",
       ".mouseenter(Gadfly.zoomslider_button_mouseover)\n",
       ".mouseleave(Gadfly.zoomslider_button_mouseout)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1233\")\n",
       "   .data(\"max_pos\", 131.4)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1233\")\n",
       "   .data(\"min_pos\", 114.4)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1233\")\n",
       "   .click(Gadfly.zoomslider_track_click);\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1235\")\n",
       "   .data(\"max_pos\", 131.4)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1235\")\n",
       "   .data(\"min_pos\", 114.4)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1235\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1235\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1235\")\n",
       "   .drag(Gadfly.zoomslider_thumb_dragmove,\n",
       "     Gadfly.zoomslider_thumb_dragstart,\n",
       "     Gadfly.zoomslider_thumb_dragend)\n",
       ".mousedown(Gadfly.zoomslider_thumb_mousedown)\n",
       ".mouseup(Gadfly.zoomslider_thumb_mouseup)\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1237\")\n",
       "   .data(\"mouseover_color\", \"#cd5c5c\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1237\")\n",
       "   .data(\"mouseout_color\", \"#6a6a6a\")\n",
       ";\n",
       "fig.select(\"#fig-711fd9b484c547019140be8e2015dc5a-element-1237\")\n",
       "   .click(Gadfly.zoomslider_zoomout_click)\n",
       ".mouseenter(Gadfly.zoomslider_button_mouseover)\n",
       ".mouseleave(Gadfly.zoomslider_button_mouseout)\n",
       ";\n",
       "    });\n",
       "]]> </script>\n",
       "</svg>\n"
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
       " []                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                [Context(BoundingBox(Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),1.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,1.0)),UnitBox{Float64,Int64,Float64,Int64}(0.0,50,20.0,-50,Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0)),Rotation{Point{Measure{MeasureNil,MeasureNil},Measure{MeasureNil,MeasureNil}}}(0.0,Point{Measure{MeasureNil,MeasureNil},Measure{MeasureNil,MeasureNil}}(Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.5,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.5))),nothing,ListNode{ComposeNode}(AdhocContainerPromise((anonymous function),0,false,false,nothing,nothing),ListNull{ComposeNode}()),0,false,false,false,false,14.314166666666667,9.611666666666666,0.0),Context(BoundingBox(Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),1.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,1.0)),UnitBox{Float64,Int64,Float64,Int64}(0.0,50,20.0,-50,Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.0)),Rotation{Point{Measure{MeasureNil,MeasureNil},Measure{MeasureNil,MeasureNil}}}(0.0,Point{Measure{MeasureNil,MeasureNil},Measure{MeasureNil,MeasureNil}}(Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.5,0.0),Measure{MeasureNil,MeasureNil}(0.0,MeasureNil(),MeasureNil(),0.0,0.5))),nothing,ListNode{ComposeNode}(AdhocContainerPromise((anonymous 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                                                                                                                                                                                                                                                                                                                                                                         ,3:3,2:2,nothing,nothing,nothing,{},UnitBox{Float64,Int64,Float64,Int64}(0.0,50,20.0,-50,Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0),Measure{MeasureNil,MeasureNil}(2.0,MeasureNil(),MeasureNil(),0.0,0.0)),0,false,false),ListNull{ComposeNode}()))),0,false,false,false,false,nothing,nothing,0.0),ListNull{ComposeNode}()),0,false,false,false,false,nothing,nothing,0.0),ListNull{ComposeNode}()))),0,false,false,false,false,nothing,nothing,0.0)"
      ]
     },
     "execution_count": 136,
     "metadata": {
      "comm_id": "5a064c60-197c-4e68-a75a-5a9f45cff7d9",
      "reactive": true
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2  # States\n",
    "m = 2  # Inputs\n",
    "A = [2.0 -1.0;\n",
    "     1.0  0.2]  # Dynamics matrix\n",
    "B = [1.0  0.1;\n",
    "     0.0  0.1]  # Input matrix\n",
    "T = 100  # MPC horizon\n",
    "Tmax = 20  # Length of time we simulate\n",
    "x0 = [3;1]  # Initial state\n",
    "\n",
    "# Vary maximum control\n",
    "@manipulate for umax in 0.7:0.1:2.0\n",
    "    x,u,z = simulate(n,m,A,B,T,Tmax,x0,10,umax)\n",
    "\n",
    "    set_default_plot_size(6inch,6inch)\n",
    "    vstack(\n",
    "        plot(x=1:Tmax,y=z,Geom.line,\n",
    "            Guide.xlabel(\"Time\"),Guide.ylabel(\"Cost\"),\n",
    "            Guide.title(\"Cost, total=$(round(sum(z)))\"),\n",
    "            Scale.y_continuous(minvalue=0,maxvalue=50)),\n",
    "        plot(\n",
    "            layer(x=1:Tmax,y=x[1,:],color=fill(:x1,Tmax),Geom.line),\n",
    "            layer(x=1:Tmax,y=x[2,:],color=fill(:x2,Tmax),Geom.line),\n",
    "            Guide.xlabel(\"Time\"),Guide.ylabel(\"State\"),\n",
    "            Guide.title(\"State\"),\n",
    "            Scale.y_continuous(minvalue=-4,maxvalue=6)),\n",
    "        plot(\n",
    "            yintercept=[-umax,umax], Geom.hline(color=\"#AAA\"),\n",
    "            layer(x=1:Tmax,y=u[1,:],color=fill(:u1,Tmax),Geom.line),\n",
    "            layer(x=1:Tmax,y=u[2,:],color=fill(:u2,Tmax),Geom.line),\n",
    "            Guide.xlabel(\"Time\"),Guide.ylabel(\"Control\"),\n",
    "            Guide.title(\"Control\"),\n",
    "            Scale.y_continuous(minvalue=-2,maxvalue=2))\n",
    "    )\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.3.7",
   "language": "julia",
   "name": "julia 0.3"
  },
  "language_info": {
   "name": "julia",
   "version": "0.3.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}