interactive_legend.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple legend example\n",
    "\n",
    "This is the simplest use case for the plugin. We plot a few lines, instantiate the InteractiveLegendPlugin, and connect it to the figure. Note that we pass the labels for each of the lines explicitly. At the moment the label information of matplotlib is not passed along to D3. The plugin creates a legend to the right of the axes starting at the top. Each of the rectangles is clickable. When a legend item is selected, the rectangle is filled. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "<style>\n",
       "\n",
       "    .legend-box {\n",
       "      cursor: pointer;\n",
       "    }\n",
       "    \n",
       "</style>\n",
       "\n",
       "<div id=\"fig_el6120926671841244001246\"></div>\n",
       "<script>\n",
       "function mpld3_load_lib(url, callback){\n",
       "  var s = document.createElement('script');\n",
       "  s.src = url;\n",
       "  s.async = true;\n",
       "  s.onreadystatechange = s.onload = callback;\n",
       "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
       "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "}\n",
       "\n",
       "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
       "   // already loaded: just create the figure\n",
       "   !function(mpld3){\n",
       "       \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "       mpld3.draw_figure(\"fig_el6120926671841244001246\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.38116577019005066, 0.35553687610127577], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.38116577019005066, 0.35553687610127577], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120159064416\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el612092637056\", \"color\": \"#1F77B4\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el6120160358016\", \"color\": \"#FF7F0E\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el6120160411776\", \"color\": \"#2CA02C\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el6120160412224\", \"color\": \"#D62728\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el6120160412672\", \"color\": \"#9467BD\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, 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0.09166722640350952, -0.11834282956531751, -0.21925512567080563], [6.0606060606060606, -0.14012312159144538, -0.08761849574034025, 0.13174771219982212, -0.10497841995238111, -0.19779478063299155], [6.161616161616162, -0.09488235893211419, -0.1079842561145193, 0.16904232802470942, -0.15208604918531698, -0.15564609103705498], [6.262626262626262, -0.1211921039551587, -0.1554480525464758, 0.17890223680775252, -0.17644883768362518, -0.20028893657567579], [6.363636363636363, -0.1105057175280092, -0.20378420659837942, 0.20663021298177173, -0.13350113834854732, -0.24224849403981635], [6.4646464646464645, -0.1267682198237863, -0.2247153868805096, 0.19423981319156772, -0.10249643580910385, -0.273373986354578], [6.565656565656566, -0.08073648414398954, -0.2022874093673263, 0.2343196908536523, -0.10689449506479008, -0.23768829628281585], [6.666666666666667, -0.07688037713841324, -0.22234716555927772, 0.2733649825552666, -0.08387567889117678, -0.21658324477261726], [6.767676767676767, -0.041828318493697184, -0.2304091004497583, 0.27051820054910747, -0.03721861927026735, -0.24856016613524776], [6.8686868686868685, -0.03206571539513218, -0.21541987679327004, 0.2485969212025656, -0.0368236559814414, -0.26279948960298466], [6.96969696969697, -0.045745910957609985, -0.2558571873447685, 0.25325476980268585, -0.0002045411477790901, -0.26423967242457236], [7.070707070707071, -0.010431734577989571, -0.26999359330554906, 0.3016481680204316, -0.018889876054728073, -0.251809646651116], [7.171717171717171, -0.03258477767372103, -0.272238075974814, 0.2895188529485486, 0.010607869402105598, -0.25956555021311684], [7.2727272727272725, 0.002591132478598837, -0.25313467090213265, 0.3054657002787165, -0.034417343533532374, -0.23461419224069965], [7.373737373737374, 0.030688501695144914, -0.2450911678187667, 0.32205039217894277, 0.015007303105526143, -0.26679041673884024], [7.474747474747475, 0.02520952858711544, -0.19897882373355424, 0.29649189532007264, 0.06336448178419207, -0.22252269808679437], [7.575757575757575, 0.046020131383702284, -0.19647762164386903, 0.3058331517531986, 0.07078829339899556, -0.19591091012069592], [7.6767676767676765, 0.008556383237807753, -0.15631109581775787, 0.26719121638904136, 0.09854244925302942, -0.21182321790987477], [7.777777777777778, -0.02009588981085091, -0.16947355498498137, 0.2561684721398551, 0.0527603356778833, -0.24721741342910944], [7.878787878787879, -0.04028814293728533, -0.17731489004706744, 0.2918756850149299, 0.039916871882610526, -0.25579199294133237], [7.979797979797979, -0.036991057387542346, -0.16117145427851515, 0.254438187334332, 0.04468363873933229, -0.29197914781102213], [8.080808080808081, -0.05551521077727538, -0.179020971636452, 0.25335406695616913, 0.008708956169077284, -0.33013958741977906], [8.181818181818182, -0.010678498839595159, -0.15309518434368063, 0.27945699317953054, 0.02296957682578605, -0.34767928626771766], [8.282828282828282, -0.038777219824905645, -0.15736205073009898, 0.23176619887732658, -0.005017790331686384, -0.3265645584693434], [8.383838383838384, -0.038716634523614395, -0.12672580876564016, 0.22828083793746254, 0.02942516707600024, -0.3161404343107758], [8.484848484848484, -0.020703222615314168, -0.15050559919080647, 0.24347072422097832, 0.028431788014013065, -0.28935904505179194], [8.585858585858587, -0.011554140582883867, -0.11659825194336265, 0.23395240414210683, 0.02466534758499726, -0.261207813647992], [8.686868686868687, 0.03601849661635263, -0.11630697991322309, 0.23605894280137119, 0.005652667594292764, -0.21979496102923307], [8.787878787878787, -0.010948104271741935, -0.138654354611045, 0.24045797631652482, -0.025752721132708562, -0.1828594038128158], [8.88888888888889, 0.03422328282713859, -0.13570474275856106, 0.19828692359553257, -0.03935570942924538, -0.209539307597149], [8.98989898989899, 0.07899917101356439, -0.1071922854445366, 0.1890260472252453, -0.07660102706200647, -0.16533321512015892], [9.09090909090909, 0.06802087554055054, -0.11734667688733369, 0.1649809599605932, -0.07603009673282302, -0.19078332927115318], [9.191919191919192, 0.070266782151938, -0.08325368525804946, 0.15929372635716055, -0.10154826816819953, -0.23622626995535884], [9.292929292929292, 0.09274476649334712, -0.10216946452863937, 0.16563711412272716, -0.11885171939774009, -0.28336916506679855], [9.393939393939394, 0.1271108397572792, -0.10759790804443667, 0.14397018663282968, -0.15320623789474436, -0.2336967320279759], [9.494949494949495, 0.12736936876123653, -0.08727257624994035, 0.11777755325401057, -0.182201784543836, -0.22338276270575433], [9.595959595959595, 0.11547409668701838, -0.09509228470585733, 0.16689960367992465, -0.14958367026716574, -0.2604255169154006], [9.696969696969697, 0.08097638598455105, -0.11735148576049513, 0.13830363383102687, -0.10791999667747906, -0.3081777292876233], [9.797979797979798, 0.0628629409856045, -0.1626209599174173, 0.1273362177612387, -0.13970617658954504, -0.28334018843330394], [9.8989898989899, 0.07270530219904361, -0.12921567655943206, 0.08472034006507528, -0.15429538259477, -0.25573424988818666], [10.0, 0.07659203961544392, -0.11425671542231954, 0.0511989185270149, -0.179383281032845, -0.2363282868818333]]}, \"id\": \"el612092667184\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el612092637056\", \"el612092637056pts\"], [\"el6120160358016\", \"el6120160358016pts\"], [\"el6120160411776\", \"el6120160411776pts\"], [\"el6120160412224\", \"el6120160412224pts\"], [\"el6120160412672\", \"el6120160412672pts\"]], \"labels\": [\"a\", \"b\", \"c\", \"d\", \"e\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true, true, true, true]}]});\n",
       "   }(mpld3);\n",
       "}else if(typeof define === \"function\" && define.amd){\n",
       "   // require.js is available: use it to load d3/mpld3\n",
       "   require.config({paths: {d3: \"https://mpld3.github.io/js/d3.v3.min\"}});\n",
       "   require([\"d3\"], function(d3){\n",
       "      window.d3 = d3;\n",
       "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.3.js\", function(){\n",
       "         \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "         mpld3.draw_figure(\"fig_el6120926671841244001246\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.38116577019005066, 0.35553687610127577], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.38116577019005066, 0.35553687610127577], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120159064416\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el612092637056\", \"color\": \"#1F77B4\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el6120160358016\", \"color\": \"#FF7F0E\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el6120160411776\", \"color\": \"#2CA02C\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el6120160412224\", \"color\": \"#D62728\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el6120160412672\", \"color\": \"#9467BD\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}], \"paths\": [], \"markers\": [], \"texts\": [], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, -0.024453139106081902, 0.001433115879509339, 0.04710194645138458, 0.046585307249096965, -0.028908509441686547], [0.10101010101010101, -0.07023793235224506, -0.010792227516520725, 0.07474305077797355, 0.05624251629624957, -0.038928252652355624], [0.20202020202020202, -0.032461118757195054, 0.03908435342810619, 0.09790295678472549, 0.07803918546117251, -0.0011278854728167045], [0.30303030303030304, -0.005211049689921279, 0.055515985465634216, 0.10331857615503973, 0.05506131971636089, 0.016144078166043508], [0.40404040404040403, 0.04238113545683235, 0.02859964394276236, 0.14663240730726862, 0.07681205333321842, -0.028101279625178655], [0.5050505050505051, -0.0009142901481219851, -0.011323873302007844, 0.14080560179746748, 0.11476566107941605, -0.017495362894870147], [0.6060606060606061, 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[9.8989898989899, 0.07270530219904361, -0.12921567655943206, 0.08472034006507528, -0.15429538259477, -0.25573424988818666], [10.0, 0.07659203961544392, -0.11425671542231954, 0.0511989185270149, -0.179383281032845, -0.2363282868818333]]}, \"id\": \"el612092667184\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el612092637056\", \"el612092637056pts\"], [\"el6120160358016\", \"el6120160358016pts\"], [\"el6120160411776\", \"el6120160411776pts\"], [\"el6120160412224\", \"el6120160412224pts\"], [\"el6120160412672\", \"el6120160412672pts\"]], \"labels\": [\"a\", \"b\", \"c\", \"d\", \"e\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true, true, true, true]}]});\n",
       "      });\n",
       "    });\n",
       "}else{\n",
       "    // require.js not available: dynamically load d3 & mpld3\n",
       "    mpld3_load_lib(\"https://mpld3.github.io/js/d3.v3.min.js\", function(){\n",
       "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.3.js\", function(){\n",
       "                 \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "                 mpld3.draw_figure(\"fig_el6120926671841244001246\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.38116577019005066, 0.35553687610127577], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.38116577019005066, 0.35553687610127577], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120159064416\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el612092637056\", \"color\": \"#1F77B4\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el6120160358016\", \"color\": \"#FF7F0E\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el6120160411776\", \"color\": \"#2CA02C\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el6120160412224\", \"color\": \"#D62728\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el6120160412672\", \"color\": \"#9467BD\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}], \"paths\": [], \"markers\": [], \"texts\": [], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, -0.024453139106081902, 0.001433115879509339, 0.04710194645138458, 0.046585307249096965, -0.028908509441686547], [0.10101010101010101, -0.07023793235224506, -0.010792227516520725, 0.07474305077797355, 0.05624251629624957, -0.038928252652355624], [0.20202020202020202, -0.032461118757195054, 0.03908435342810619, 0.09790295678472549, 0.07803918546117251, -0.0011278854728167045], [0.30303030303030304, -0.005211049689921279, 0.055515985465634216, 0.10331857615503973, 0.05506131971636089, 0.016144078166043508], [0.40404040404040403, 0.04238113545683235, 0.02859964394276236, 0.14663240730726862, 0.07681205333321842, -0.028101279625178655], [0.5050505050505051, -0.0009142901481219851, -0.011323873302007844, 0.14080560179746748, 0.11476566107941605, -0.017495362894870147], 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[9.09090909090909, 0.06802087554055054, -0.11734667688733369, 0.1649809599605932, -0.07603009673282302, -0.19078332927115318], [9.191919191919192, 0.070266782151938, -0.08325368525804946, 0.15929372635716055, -0.10154826816819953, -0.23622626995535884], [9.292929292929292, 0.09274476649334712, -0.10216946452863937, 0.16563711412272716, -0.11885171939774009, -0.28336916506679855], [9.393939393939394, 0.1271108397572792, -0.10759790804443667, 0.14397018663282968, -0.15320623789474436, -0.2336967320279759], [9.494949494949495, 0.12736936876123653, -0.08727257624994035, 0.11777755325401057, -0.182201784543836, -0.22338276270575433], [9.595959595959595, 0.11547409668701838, -0.09509228470585733, 0.16689960367992465, -0.14958367026716574, -0.2604255169154006], [9.696969696969697, 0.08097638598455105, -0.11735148576049513, 0.13830363383102687, -0.10791999667747906, -0.3081777292876233], [9.797979797979798, 0.0628629409856045, -0.1626209599174173, 0.1273362177612387, -0.13970617658954504, -0.28334018843330394], [9.8989898989899, 0.07270530219904361, -0.12921567655943206, 0.08472034006507528, -0.15429538259477, -0.25573424988818666], [10.0, 0.07659203961544392, -0.11425671542231954, 0.0511989185270149, -0.179383281032845, -0.2363282868818333]]}, \"id\": \"el612092667184\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el612092637056\", \"el612092637056pts\"], [\"el6120160358016\", \"el6120160358016pts\"], [\"el6120160411776\", \"el6120160411776pts\"], [\"el6120160412224\", \"el6120160412224pts\"], [\"el6120160412672\", \"el6120160412672pts\"]], \"labels\": [\"a\", \"b\", \"c\", \"d\", \"e\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true, true, true, true]}]});\n",
       "            })\n",
       "         });\n",
       "}\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import mpld3\n",
    "from mpld3 import plugins\n",
    "from mpld3.utils import get_id\n",
    "import numpy as np\n",
    "import collections\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "N_paths = 5\n",
    "N_steps = 100\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "y = 0.1 * (np.random.random((N_paths, N_steps)) - 0.5)\n",
    "y = y.cumsum(1)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "labels = [\"a\", \"b\", \"c\", \"d\", \"e\"]\n",
    "line_collections = ax.plot(x, y.T, lw=4, alpha=0.2)\n",
    "interactive_legend = plugins.InteractiveLegendPlugin(line_collections, labels)\n",
    "plugins.connect(fig, interactive_legend)\n",
    "\n",
    "mpld3.display()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## We can link multiple elements to a single legend item\n",
    "\n",
    "There is the possibility to link more than one matplotlib element (e.g. a line) to a single item in the legend. As demonstrated by the example below. The plugin needs a list of matplotlib items, a list of lists, or a hybrid. Thus, it is possible to link one legend item to several elements in the plot, while another legend item is linked only to a single item. In case of multiple items being associated with a single legend item, the box takes on the color of the first item in the list. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "<style>\n",
       "\n",
       "    .legend-box {\n",
       "      cursor: pointer;\n",
       "    }\n",
       "    \n",
       "</style>\n",
       "\n",
       "<div id=\"fig_el61201608700728018452096\"></div>\n",
       "<script>\n",
       "function mpld3_load_lib(url, callback){\n",
       "  var s = document.createElement('script');\n",
       "  s.src = url;\n",
       "  s.async = true;\n",
       "  s.onreadystatechange = s.onload = callback;\n",
       "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
       "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "}\n",
       "\n",
       "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
       "   // already loaded: just create the figure\n",
       "   !function(mpld3){\n",
       "       \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "       mpld3.draw_figure(\"fig_el61201608700728018452096\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.6660344925673979, 0.45808540734017444], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.6660344925673979, 0.45808540734017444], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120160972928\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el6120160868840\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el6120161462424\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el6120161462872\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el6120161463320\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el6120161217448\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el6120160868728\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 7, \"coordinates\": \"data\", \"id\": \"el6120160795168\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 8, \"coordinates\": \"data\", \"id\": \"el6120160792648\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 9, \"coordinates\": \"data\", \"id\": \"el6120160679920\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 10, \"coordinates\": \"data\", \"id\": \"el6120160638904\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}], \"paths\": [], \"markers\": [], \"texts\": [], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, -0.03862033403788961, 0.003167329133196506, 0.030461273386755028, 0.005530303398210379, 0.012173119625447815, 0.028711480578703298, 0.003724869844127099, 0.0038267713589208554, 0.03449224635491599, 0.03379887818831569], [0.10101010101010101, -0.07554347791243131, -0.009406147904133744, 0.03839837899926697, 0.0409087526548368, 0.030955059514603048, 0.06732266564517106, 0.050428406012694445, -0.02374070511184282, 0.024574702309902517, 0.007607323547356427], [0.20202020202020202, -0.09033008417330583, -0.002294070977557216, 0.020873457345136518, 0.028484542730501432, 0.03464908670154332, 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0.14790150372231403, -0.49555218238331583, 0.27878673605482723], [7.070707070707071, -0.434470616163532, -0.038848171996853156, 0.3255693407713744, -0.18346773406700972, 0.08668904652809968, -0.10890937574424099, 0.04127327695061274, 0.18422393538681203, -0.5192492315112527, 0.2767519346227025], [7.171717171717171, -0.42106808242538085, -0.0037293037425874323, 0.37150818617585324, -0.14261554091789755, 0.1360954457082455, -0.07998042673310138, 0.03701340707290002, 0.1379631228221657, -0.5567587481998288, 0.25921604695185557], [7.2727272727272725, -0.37982246654264695, 0.02487899693335739, 0.38412755685213384, -0.09878766780902662, 0.08898415349605096, -0.10739778512010859, 0.010036950181270342, 0.16418026140658004, -0.6047196987013459, 0.23079282435070306], [7.373737373737374, -0.34173668147677, 0.03265613338700918, 0.3604409091745167, -0.053657653371025175, 0.04155668242791777, -0.12870522748388977, 0.036207890999887346, 0.11659731259495558, -0.6061514612928733, 0.2679384045237913], [7.474747474747475, -0.3725500530617771, 0.006554175494641112, 0.32135090365072205, -0.05771514371239594, 0.07035388991397179, -0.11937692068992785, 0.003945206014164836, 0.14941597484621577, -0.5993472139330462, 0.242580761409073], [7.575757575757575, -0.3722419102613536, 0.0487055830265664, 0.32455428297745453, -0.08857999893333107, 0.0836984598498369, -0.09548041178768214, 0.04270336444406288, 0.11071356078070964, -0.5683329996417191, 0.23914039139253893], [7.6767676767676765, -0.3664630850830894, 0.07351252761732197, 0.3134660022283456, -0.09168397556018791, 0.04485369310751013, -0.07478529294499271, 0.05039306809952343, 0.08302732810135705, -0.6069469125135165, 0.21237797143684103], [7.777777777777778, -0.41406016095577053, 0.09319234742741009, 0.3355933294658621, -0.11843882500352236, 0.03877400990085081, -0.08883610033156557, 0.01435419431710061, 0.09538954671797137, -0.592888469565181, 0.20359274021068308], [7.878787878787879, -0.4173391684918793, 0.1111054164596158, 0.3482466157886751, -0.07763541160094431, 0.013647153987522101, -0.08767377717599203, 0.03265420738447372, 0.12447525894367202, -0.5468061751414892, 0.17458096198521472], [7.979797979797979, -0.36960266641156586, 0.09524567067902177, 0.360756723466814, -0.08094068235754213, -0.011830107596223424, -0.09659094577654719, 0.06422417632702393, 0.0815395717810037, -0.5718435072765606, 0.1648946657769213], [8.080808080808081, -0.4059390274505958, 0.09976197814784615, 0.4069890482534666, -0.06212441584829036, 0.0008941939671824588, -0.13243857770120343, 0.02309859220764523, 0.04488805081983591, -0.5595877488822419, 0.14656292288180098], [8.181818181818182, -0.42981173448272997, 0.10115605962429017, 0.364125731616915, -0.07671961559349327, -0.0286179640845821, -0.10821320396557879, 0.007004584159031754, 0.0838046757796097, -0.57270842515547, 0.11859800162714398], [8.282828282828282, -0.3839045536065778, 0.08383401190008614, 0.3544862687802733, -0.11558116568077977, -0.059148547330695606, -0.09146368624570082, -0.022662924078287988, 0.11250967156383383, -0.6092011452812149, 0.08096793162415705], [8.383838383838384, -0.4191426699702922, 0.10500980443983988, 0.32701595014586093, -0.14230023487216265, -0.09194677804373302, -0.12513616411020045, -0.02854848304699767, 0.11319678007160608, -0.5885696566081101, 0.09000588346329791], [8.484848484848484, -0.37066997186422035, 0.14968054369164963, 0.33141674914086744, -0.15007432116414351, -0.05234162389272594, -0.09804049470360329, -0.005695587991874477, 0.13436078795658213, -0.5628073602440393, 0.07355769210241554], [8.585858585858587, -0.34690607090719966, 0.16283898500075797, 0.3652286415898771, -0.19444923489130836, -0.07430747956545813, -0.05395403321982907, -0.008762943814816564, 0.12477601419453942, -0.5250447083095157, 0.07239248106014126], [8.686868686868687, -0.3441813513038652, 0.19367265347831925, 0.35276931249970217, -0.15648984083173195, -0.0942156775551245, -0.05523214409385248, -0.018060357229022477, 0.10685755375985324, -0.4947065211273511, 0.045652285344996435], [8.787878787878787, -0.33528344397657306, 0.167215681692861, 0.3447719181086235, -0.17662681914130926, -0.05481623068346128, -0.051434579024827204, -0.024664830060532876, 0.1013980795258562, -0.4939363499481479, 0.08461883339119726], [8.88888888888889, -0.3400492406229824, 0.15246377199023206, 0.3438073651500964, -0.2189505797748622, -0.09250697991445678, -0.0710360877775453, -0.049330410544127616, 0.0769192439088246, -0.45299512705369005, 0.09329846153167826], [8.98989898989899, -0.3205843751309139, 0.19007805424801016, 0.3087743979094968, -0.1872566249202124, -0.0751754636751181, -0.05136862136744424, -0.09644181625484577, 0.06800619593737156, -0.48721564565434994, 0.09858030629768917], [9.09090909090909, -0.36381375842485136, 0.1763593548975263, 0.279551016805323, -0.1745888286157902, -0.11674985933890403, -0.055359537275007815, -0.09041159272975893, 0.029704675545128865, -0.534232901310485, 0.12365196530969975], [9.191919191919192, -0.33589709518421224, 0.1504423591463453, 0.2768695294583142, -0.14926768665423018, -0.06716087619138564, -0.027722120135757637, -0.10682832866854049, 0.011629816532211745, -0.515037479863669, 0.12480726644161332], [9.292929292929292, -0.32629920765850606, 0.19315631311895284, 0.286533665218491, -0.12597684193003852, -0.06673943776187698, -0.04488323191702614, -0.06256082135777234, 0.022064822782469008, -0.5318656955172107, 0.16977273892639597], [9.393939393939394, -0.34319303780179844, 0.17806614876140053, 0.25934312557970235, -0.08852283511315354, -0.031317910208505675, -0.011910498261159953, -0.08198649513348245, 0.034642162935164145, -0.5224249026009797, 0.12430780386243964], [9.494949494949495, -0.35280860395308217, 0.2153743240958188, 0.258675789979408, -0.10361089073317797, -0.042497255789272874, -0.045499839228206745, -0.04174769850151276, 0.04593271561677712, -0.48176923990973464, 0.0899419760637888], [9.595959595959595, -0.36123224144929533, 0.18184730188773202, 0.2766322148814068, -0.0758791091696218, -0.006031587842838894, -0.08396939108621432, -0.07467968694551283, 0.05599814586987948, -0.44346211694886384, 0.10325585737718972], [9.696969696969697, -0.34273614489636783, 0.22233448835558325, 0.23301974051555735, -0.09031844659735025, -0.035351942670269726, -0.12871277279279736, -0.03246201864613089, 0.020362152968573098, -0.47483737927955044, 0.11864647776777013], [9.797979797979798, -0.31905031003916223, 0.20198236863681254, 0.19092296269821013, -0.06626189866559484, -0.03086811115472186, -0.10720946069115124, -0.004117907484254012, 0.00559388720772451, -0.4821139695300483, 0.0724258544413193], [9.8989898989899, -0.3457471272451432, 0.22733513191653665, 0.1697224907993717, -0.040892355816078516, -0.04990115927478645, -0.09607895843161726, -0.0375394063470845, 0.0337572289561963, -0.47343528977976396, 0.10624843054981159], [10.0, -0.3120588800625055, 0.2170335586247334, 0.21384102264133542, -0.01735854150239577, -0.005449592169515509, -0.07208234743069765, -0.049155989469247624, 0.06250501017854086, -0.505651561353721, 0.06584455430443892]]}, \"id\": \"el6120160870072\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el6120160868840\", \"el6120160868840pts\", \"el6120161462424\", \"el6120161462424pts\", \"el6120161462872\", \"el6120161462872pts\", \"el6120161463320\", \"el6120161463320pts\", \"el6120161217448\", \"el6120161217448pts\"], [\"el6120160868728\", \"el6120160868728pts\", \"el6120160795168\", \"el6120160795168pts\", \"el6120160792648\", \"el6120160792648pts\", \"el6120160679920\", \"el6120160679920pts\", \"el6120160638904\", \"el6120160638904pts\"]], \"labels\": [\"a\", \"b\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true]}]});\n",
       "   }(mpld3);\n",
       "}else if(typeof define === \"function\" && define.amd){\n",
       "   // require.js is available: use it to load d3/mpld3\n",
       "   require.config({paths: {d3: \"https://mpld3.github.io/js/d3.v3.min\"}});\n",
       "   require([\"d3\"], function(d3){\n",
       "      window.d3 = d3;\n",
       "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.3.js\", function(){\n",
       "         \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "         mpld3.draw_figure(\"fig_el61201608700728018452096\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.6660344925673979, 0.45808540734017444], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.6660344925673979, 0.45808540734017444], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120160972928\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el6120160868840\", \"color\": \"#0000FF\", \"linewidth\": 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[7.474747474747475, -0.3725500530617771, 0.006554175494641112, 0.32135090365072205, -0.05771514371239594, 0.07035388991397179, -0.11937692068992785, 0.003945206014164836, 0.14941597484621577, -0.5993472139330462, 0.242580761409073], [7.575757575757575, -0.3722419102613536, 0.0487055830265664, 0.32455428297745453, -0.08857999893333107, 0.0836984598498369, -0.09548041178768214, 0.04270336444406288, 0.11071356078070964, -0.5683329996417191, 0.23914039139253893], [7.6767676767676765, -0.3664630850830894, 0.07351252761732197, 0.3134660022283456, -0.09168397556018791, 0.04485369310751013, -0.07478529294499271, 0.05039306809952343, 0.08302732810135705, -0.6069469125135165, 0.21237797143684103], [7.777777777777778, -0.41406016095577053, 0.09319234742741009, 0.3355933294658621, -0.11843882500352236, 0.03877400990085081, -0.08883610033156557, 0.01435419431710061, 0.09538954671797137, -0.592888469565181, 0.20359274021068308], [7.878787878787879, -0.4173391684918793, 0.1111054164596158, 0.3482466157886751, -0.07763541160094431, 0.013647153987522101, -0.08767377717599203, 0.03265420738447372, 0.12447525894367202, -0.5468061751414892, 0.17458096198521472], [7.979797979797979, -0.36960266641156586, 0.09524567067902177, 0.360756723466814, -0.08094068235754213, -0.011830107596223424, -0.09659094577654719, 0.06422417632702393, 0.0815395717810037, -0.5718435072765606, 0.1648946657769213], [8.080808080808081, -0.4059390274505958, 0.09976197814784615, 0.4069890482534666, -0.06212441584829036, 0.0008941939671824588, -0.13243857770120343, 0.02309859220764523, 0.04488805081983591, -0.5595877488822419, 0.14656292288180098], [8.181818181818182, -0.42981173448272997, 0.10115605962429017, 0.364125731616915, -0.07671961559349327, -0.0286179640845821, -0.10821320396557879, 0.007004584159031754, 0.0838046757796097, -0.57270842515547, 0.11859800162714398], [8.282828282828282, -0.3839045536065778, 0.08383401190008614, 0.3544862687802733, -0.11558116568077977, -0.059148547330695606, -0.09146368624570082, -0.022662924078287988, 0.11250967156383383, -0.6092011452812149, 0.08096793162415705], [8.383838383838384, -0.4191426699702922, 0.10500980443983988, 0.32701595014586093, -0.14230023487216265, -0.09194677804373302, -0.12513616411020045, -0.02854848304699767, 0.11319678007160608, -0.5885696566081101, 0.09000588346329791], [8.484848484848484, -0.37066997186422035, 0.14968054369164963, 0.33141674914086744, -0.15007432116414351, -0.05234162389272594, -0.09804049470360329, -0.005695587991874477, 0.13436078795658213, -0.5628073602440393, 0.07355769210241554], [8.585858585858587, -0.34690607090719966, 0.16283898500075797, 0.3652286415898771, -0.19444923489130836, -0.07430747956545813, -0.05395403321982907, -0.008762943814816564, 0.12477601419453942, -0.5250447083095157, 0.07239248106014126], [8.686868686868687, -0.3441813513038652, 0.19367265347831925, 0.35276931249970217, -0.15648984083173195, -0.0942156775551245, -0.05523214409385248, -0.018060357229022477, 0.10685755375985324, -0.4947065211273511, 0.045652285344996435], [8.787878787878787, -0.33528344397657306, 0.167215681692861, 0.3447719181086235, -0.17662681914130926, -0.05481623068346128, -0.051434579024827204, -0.024664830060532876, 0.1013980795258562, -0.4939363499481479, 0.08461883339119726], [8.88888888888889, -0.3400492406229824, 0.15246377199023206, 0.3438073651500964, -0.2189505797748622, -0.09250697991445678, -0.0710360877775453, -0.049330410544127616, 0.0769192439088246, -0.45299512705369005, 0.09329846153167826], [8.98989898989899, -0.3205843751309139, 0.19007805424801016, 0.3087743979094968, -0.1872566249202124, -0.0751754636751181, -0.05136862136744424, -0.09644181625484577, 0.06800619593737156, -0.48721564565434994, 0.09858030629768917], [9.09090909090909, -0.36381375842485136, 0.1763593548975263, 0.279551016805323, -0.1745888286157902, -0.11674985933890403, -0.055359537275007815, -0.09041159272975893, 0.029704675545128865, -0.534232901310485, 0.12365196530969975], 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0.18184730188773202, 0.2766322148814068, -0.0758791091696218, -0.006031587842838894, -0.08396939108621432, -0.07467968694551283, 0.05599814586987948, -0.44346211694886384, 0.10325585737718972], [9.696969696969697, -0.34273614489636783, 0.22233448835558325, 0.23301974051555735, -0.09031844659735025, -0.035351942670269726, -0.12871277279279736, -0.03246201864613089, 0.020362152968573098, -0.47483737927955044, 0.11864647776777013], [9.797979797979798, -0.31905031003916223, 0.20198236863681254, 0.19092296269821013, -0.06626189866559484, -0.03086811115472186, -0.10720946069115124, -0.004117907484254012, 0.00559388720772451, -0.4821139695300483, 0.0724258544413193], [9.8989898989899, -0.3457471272451432, 0.22733513191653665, 0.1697224907993717, -0.040892355816078516, -0.04990115927478645, -0.09607895843161726, -0.0375394063470845, 0.0337572289561963, -0.47343528977976396, 0.10624843054981159], [10.0, -0.3120588800625055, 0.2170335586247334, 0.21384102264133542, -0.01735854150239577, -0.005449592169515509, -0.07208234743069765, -0.049155989469247624, 0.06250501017854086, -0.505651561353721, 0.06584455430443892]]}, \"id\": \"el6120160870072\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el6120160868840\", \"el6120160868840pts\", \"el6120161462424\", \"el6120161462424pts\", \"el6120161462872\", \"el6120161462872pts\", \"el6120161463320\", \"el6120161463320pts\", \"el6120161217448\", \"el6120161217448pts\"], [\"el6120160868728\", \"el6120160868728pts\", \"el6120160795168\", \"el6120160795168pts\", \"el6120160792648\", \"el6120160792648pts\", \"el6120160679920\", \"el6120160679920pts\", \"el6120160638904\", \"el6120160638904pts\"]], \"labels\": [\"a\", \"b\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true]}]});\n",
       "      });\n",
       "    });\n",
       "}else{\n",
       "    // require.js not available: dynamically load d3 & mpld3\n",
       "    mpld3_load_lib(\"https://mpld3.github.io/js/d3.v3.min.js\", function(){\n",
       "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.3.js\", function(){\n",
       "                 \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "                 mpld3.draw_figure(\"fig_el61201608700728018452096\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.6660344925673979, 0.45808540734017444], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.6660344925673979, 0.45808540734017444], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120160972928\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el6120160868840\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el6120161462424\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el6120161462872\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el6120161463320\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el6120161217448\", \"color\": \"#0000FF\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el6120160868728\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 7, \"coordinates\": \"data\", \"id\": \"el6120160795168\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 8, \"coordinates\": \"data\", \"id\": \"el6120160792648\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 9, \"coordinates\": \"data\", \"id\": \"el6120160679920\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 10, \"coordinates\": \"data\", \"id\": \"el6120160638904\", \"color\": \"#FF0000\", \"linewidth\": 4.0, \"dasharray\": \"none\", \"alpha\": 0.2, \"zorder\": 2, \"drawstyle\": \"default\"}], \"paths\": [], \"markers\": [], \"texts\": [], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, -0.03862033403788961, 0.003167329133196506, 0.030461273386755028, 0.005530303398210379, 0.012173119625447815, 0.028711480578703298, 0.003724869844127099, 0.0038267713589208554, 0.03449224635491599, 0.03379887818831569], [0.10101010101010101, -0.07554347791243131, -0.009406147904133744, 0.03839837899926697, 0.0409087526548368, 0.030955059514603048, 0.06732266564517106, 0.050428406012694445, -0.02374070511184282, 0.024574702309902517, 0.007607323547356427], [0.20202020202020202, -0.09033008417330583, -0.002294070977557216, 0.020873457345136518, 0.028484542730501432, 0.03464908670154332, 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[1.5151515151515151, -0.2816668473890838, 0.008440789494868668, -0.09648656973555925, 0.06576606752368155, 0.05366696233397511, -0.07680144387005582, -0.027082642463897376, 0.04252550056312312, -0.15120665603014022, 0.2166741666866572], [1.6161616161616161, -0.25174369371491856, 0.056190565392240835, -0.10779125129286717, 0.02939386543558651, 0.09526807397148503, -0.03403428762035955, -0.07397934987197818, 0.021172502133689715, -0.14631777274872654, 0.22414049187150767], [1.7171717171717171, -0.20841951051807817, 0.03534771835876091, -0.08982458402796546, -0.010029620342435153, 0.06313735078394644, -0.0581492876513925, -0.03020698403473849, 0.05851378442663556, -0.12056299575160444, 0.2459731596178587], [1.8181818181818181, -0.23725917109675596, 0.06671555748816127, -0.044197037642223415, -0.021451090444605317, 0.08449133874230057, -0.07618583720386274, -0.07252128875299996, 0.09435690312001219, -0.13319545101302754, 0.20674064862393685], [1.9191919191919191, -0.2512518801961818, 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-0.005449592169515509, -0.07208234743069765, -0.049155989469247624, 0.06250501017854086, -0.505651561353721, 0.06584455430443892]]}, \"id\": \"el6120160870072\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el6120160868840\", \"el6120160868840pts\", \"el6120161462424\", \"el6120161462424pts\", \"el6120161462872\", \"el6120161462872pts\", \"el6120161463320\", \"el6120161463320pts\", \"el6120161217448\", \"el6120161217448pts\"], [\"el6120160868728\", \"el6120160868728pts\", \"el6120160795168\", \"el6120160795168pts\", \"el6120160792648\", \"el6120160792648pts\", \"el6120160679920\", \"el6120160679920pts\", \"el6120160638904\", \"el6120160638904pts\"]], \"labels\": [\"a\", \"b\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true]}]});\n",
       "            })\n",
       "         });\n",
       "}\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N_paths = 5\n",
    "N_steps = 100\n",
    "\n",
    "x1 = np.linspace(0, 10, 100)\n",
    "y = 0.1 * (np.random.random((N_paths, N_steps)) - 0.5)\n",
    "y1 = y.cumsum(1)\n",
    "\n",
    "x2 = np.linspace(0, 10, 100)\n",
    "y = 0.1 * (np.random.random((N_paths, N_steps)) - 0.5)\n",
    "y2 = y.cumsum(1)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "labels = [\"a\", \"b\",]\n",
    "l1 = ax.plot(x1, y1.T, lw=4, alpha=0.1, c='b', label='a')\n",
    "l2 = ax.plot(x2, y2.T, lw=4, alpha=0.2, c='r', label='b')\n",
    "\n",
    "line_collections = [l1,l2]\n",
    "plugins.connect(fig, plugins.InteractiveLegendPlugin(line_collections, labels))\n",
    "\n",
    "mpld3.display()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Legends for different axes\n",
    "\n",
    "By default, the legend is shown to the right of the first axes. However, through the use of the optional keyword argument 'ax', we can specify the axes to the right of which the legend will be shown."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'_process_plot_var_args' object has no attribute 'color_cycle'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-3-2e4bd627a30e>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     14\u001b[0m \u001b[0ms1\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     15\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mN_paths\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 16\u001b[1;33m     \u001b[0ms\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0max2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mc\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnext\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_get_lines\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcolor_cycle\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     17\u001b[0m     \u001b[0ms1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ms\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     18\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mAttributeError\u001b[0m: '_process_plot_var_args' object has no attribute 'color_cycle'"
     ]
    }
   ],
   "source": [
    "N_paths = 5\n",
    "N_steps = 100\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "y = 0.1 * (np.random.random((N_paths, N_steps)) - 0.5)\n",
    "y = y.cumsum(1)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(2,1,1)\n",
    "ax2 = fig.add_subplot(2,1,2)\n",
    "\n",
    "labels = [\"a\", \"b\", \"c\", \"d\", \"e\"]\n",
    "l1 = ax1.plot(x, y.T, lw=4, alpha=0.1)\n",
    "s1 = []\n",
    "for i in range(N_paths):\n",
    "    s = ax2.scatter(x,y[i, :], c=next(ax2._get_lines.color_cycle), alpha=0.1)\n",
    "    s1.append(s)\n",
    "    \n",
    "plugins.connect(fig, plugins.InteractiveLegendPlugin(l1, labels, ax=ax1))\n",
    "plugins.connect(fig, plugins.InteractiveLegendPlugin(s1, labels, ax=ax2))\n",
    "mpld3.display()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## single legend for different axes\n",
    "\n",
    "We can link multiple matplotlib elements to a single item in the legend. This functionality works even when the elements belong to different axes as shown below. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'_process_plot_var_args' object has no attribute 'color_cycle'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-4-3e654c05ba00>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     15\u001b[0m \u001b[0ms1\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     16\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mN_paths\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 17\u001b[1;33m     \u001b[0ms\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0max2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mc\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnext\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_get_lines\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcolor_cycle\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     18\u001b[0m     \u001b[0ms1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ms\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     19\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mAttributeError\u001b[0m: '_process_plot_var_args' object has no attribute 'color_cycle'"
     ]
    }
   ],
   "source": [
    "N_paths = 5\n",
    "N_steps = 100\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "y = 0.1 * (np.random.random((N_paths, N_steps)) - 0.5)\n",
    "y = y.cumsum(1)\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(2,1,1)\n",
    "ax2 = fig.add_subplot(2,1,2)\n",
    "\n",
    "labels = [\"a\", \"b\", \"c\", \"d\", \"e\"]\n",
    "l1 = ax1.plot(x, y.T, lw=4, alpha=0.1)\n",
    "s1 = []\n",
    "for i in range(N_paths):\n",
    "    s = ax2.scatter(x,y[i, :], c=next(ax2._get_lines.color_cycle), alpha=0.1)\n",
    "    s1.append(s)\n",
    "    \n",
    "plugins.connect(fig, plugins.InteractiveLegendPlugin(zip(l1, s1), labels))\n",
    "mpld3.display()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## scatterplot demo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'_process_plot_var_args' object has no attribute 'color_cycle'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-5-bc747552ae4b>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      7\u001b[0m     \u001b[0my\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrand\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 9\u001b[1;33m     \u001b[0melement\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnext\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max2\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_get_lines\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcolor_cycle\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.2\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmarker\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'+'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     10\u001b[0m     \u001b[0melements\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0melement\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     11\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mAttributeError\u001b[0m: '_process_plot_var_args' object has no attribute 'color_cycle'"
     ]
    }
   ],
   "source": [
    "nr_elements = 5\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "elements = []\n",
    "for i in range(nr_elements):\n",
    "    x = np.random.rand(100)\n",
    "    y = np.random.rand(100)\n",
    "    \n",
    "    element = ax.scatter(x,y, color=next(ax2._get_lines.color_cycle), alpha=0.2, marker='+')\n",
    "    elements.append([element])\n",
    "\n",
    "labels = [\"{}\".format(i) for i in range(nr_elements)]\n",
    "plugins.connect(fig, plugins.InteractiveLegendPlugin(elements, labels))\n",
    "mpld3.display()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Markers and Lines in case of Line2D instances\n",
    "A Line2d instance can have both a line, as well as markers at each vertex. In D3 these are two distinct things. The interactive legend can handle both as demonstrated by the example below. See the code and comments there on how this is achieved for details. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "<style>\n",
       "\n",
       "    .legend-box {\n",
       "      cursor: pointer;\n",
       "    }\n",
       "    \n",
       "</style>\n",
       "\n",
       "<div id=\"fig_el61201681868804554195241\"></div>\n",
       "<script>\n",
       "function mpld3_load_lib(url, callback){\n",
       "  var s = document.createElement('script');\n",
       "  s.src = url;\n",
       "  s.async = true;\n",
       "  s.onreadystatechange = s.onload = callback;\n",
       "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
       "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "}\n",
       "\n",
       "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
       "   // already loaded: just create the figure\n",
       "   !function(mpld3){\n",
       "       \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
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0.30544030031633523, -0.16454044477885987, 0.13184262188577403], [5.555555555555555, -0.17354214838692383, 0.3295297841097715, 0.30401100362713257, -0.13635472079554722, 0.1789887102229631], [5.656565656565657, -0.13579536667136144, 0.3485265608523483, 0.2961383470860296, -0.0875764673145826, 0.22130437104879241], [5.757575757575758, -0.09690369657866182, 0.3431958289003348, 0.298545736094951, -0.09634079964655916, 0.26258580403507764], [5.858585858585858, -0.10980632768435736, 0.33238608228559413, 0.3442164549391103, -0.10993288257009716, 0.29313699633214413], [5.959595959595959, -0.09170459149617749, 0.35977589614573874, 0.3744251406858672, -0.0877448906306756, 0.3271171461016162], [6.0606060606060606, -0.04896353141324256, 0.32374428027181307, 0.39688297339269435, -0.07825702924018732, 0.30247813010244584], [6.161616161616162, -0.06852818483591666, 0.2998422802219471, 0.3977980927161404, -0.09371984320510567, 0.2765968256260594], [6.262626262626262, -0.07398703185965036, 0.3189683095792753, 0.3588949547178696, -0.10269319041597237, 0.3066148786692182], [6.363636363636363, -0.09555281756789355, 0.2969834091196145, 0.3933720536476667, -0.1024740011964972, 0.3146434862410345], [6.4646464646464645, -0.12717772613827205, 0.30288393204462266, 0.41065749678765656, -0.09660579572969467, 0.2759613415023003], [6.565656565656566, -0.16150933707222936, 0.3259719288025557, 0.3797082195491324, -0.12039319362992221, 0.30155604435641514], [6.666666666666667, -0.11295735852725117, 0.33885698831042593, 0.37549255334801895, -0.09286725840961457, 0.32620672103743364], [6.767676767676767, -0.13875385717823852, 0.37279684769689214, 0.3419330322626473, -0.11300698463377337, 0.3689253134818801], [6.8686868686868685, -0.12378607118626742, 0.36768755708888784, 0.3584083915507616, -0.09861240868123348, 0.334262358879845], [6.96969696969697, -0.16958490121773506, 0.3691268077375698, 0.34619701068012165, -0.13619329357469392, 0.37282528322060904], [7.070707070707071, -0.20160194545985882, 0.3556062102830963, 0.375181644024811, -0.15657468264574942, 0.3783856399665942], [7.171717171717171, -0.17315951860399512, 0.362012362175868, 0.412764383384563, -0.12935318298726184, 0.330342409282781], [7.2727272727272725, -0.1499389868226445, 0.3349465631521301, 0.4020813775238583, -0.15449906839875105, 0.33420667516090585], [7.373737373737374, -0.10847879883918335, 0.3254826320786874, 0.41864411761475034, -0.17360305751661206, 0.37533870213131043], [7.474747474747475, -0.09231586409872537, 0.3197913446857949, 0.4377312527014845, -0.1415712390806, 0.3912552577706225], [7.575757575757575, -0.13125759790956806, 0.35299295626651006, 0.40397854618772583, -0.153208448450333, 0.4038733888296992], [7.6767676767676765, -0.12289829442711307, 0.34215601527766887, 0.430440254176686, -0.10932500092558428, 0.37093893180179477], [7.777777777777778, -0.12516421324379617, 0.3604335050571455, 0.4559166996885962, -0.15272679849281712, 0.3400753892436862], [7.878787878787879, -0.17085157506957938, 0.4034553647786958, 0.47024116690388656, -0.1255918097787052, 0.31021901819729725], [7.979797979797979, -0.14365814865771256, 0.44093575818786124, 0.4915953390352182, -0.0852928728090999, 0.3410094971685281], [8.080808080808081, -0.15424758034855587, 0.40686805866887343, 0.4794992334186591, -0.0929541578127477, 0.2951718932242098], [8.181818181818182, -0.10809880722877414, 0.38578198791511714, 0.4970816388073542, -0.08517923074699077, 0.27692422181699566], [8.282828282828282, -0.13407431672600104, 0.3830267471693368, 0.45749626257846265, -0.07967005070386002, 0.24786982290404566], [8.383838383838384, -0.11697478086358938, 0.3862432802104922, 0.4747722807289935, -0.04285775113335237, 0.23356400052130397], [8.484848484848484, -0.08739560794996976, 0.3946031893927342, 0.5008728700216715, -0.04611802223445429, 0.2532595610321785], [8.585858585858587, -0.07045842327560524, 0.365328619736206, 0.4755691856991199, -0.017223911041488633, 0.21126438797623998], [8.686868686868687, -0.11568776884765816, 0.33328276063870493, 0.45625290697742166, 0.028220493866719702, 0.24638289344622522], [8.787878787878787, -0.15678908175334216, 0.36121653899861783, 0.4442272514492243, -0.004492568394199967, 0.2362462839853604], [8.88888888888889, -0.17489285822318776, 0.36605497340477916, 0.4018120207175128, -0.02566792368282925, 0.18733328033338809], [8.98989898989899, -0.2065739542140989, 0.3415909536940002, 0.4232484435514892, -0.016083879865587243, 0.20834101571691616], [9.09090909090909, -0.21327815729560717, 0.2967683793552418, 0.4093093651858375, -0.026234372347686018, 0.2354596452979889], [9.191919191919192, -0.20425751444096085, 0.2601841839086542, 0.415325731771622, -0.042943555034095096, 0.2214187576883263], [9.292929292929292, -0.15771395368528357, 0.2621003694512929, 0.3700806025806436, -0.07718457914097249, 0.2414678234947864], [9.393939393939394, -0.13337393346923068, 0.28270619082153314, 0.3700056527032949, -0.0538755138832243, 0.22449121161915725], [9.494949494949495, -0.17582795964111753, 0.26844009376772193, 0.33372094543912684, -0.019012843329016677, 0.19730874502703466], [9.595959595959595, -0.20544015639944102, 0.22408428385666926, 0.3746530591992019, -0.05225892714356296, 0.1965218269106735], [9.696969696969697, -0.17078189736118332, 0.24818913412776256, 0.37787755343485113, -0.08136699072031105, 0.153339808828922], [9.797979797979798, -0.2119613362143894, 0.24942433588571983, 0.4246081717042923, -0.11670997117620327, 0.12395018967564922], [9.8989898989899, -0.20848396657064122, 0.22299075743308255, 0.42230276595987226, -0.10820813639961412, 0.08219699977948114], [10.0, -0.22415985451818005, 0.2707460798773318, 0.4536880416847564, -0.06559126417002595, 0.12044623819619585]]}, \"id\": \"el6120168186880\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el6120171066928\", \"el6120171066928pts\", \"el6120168529032\", \"el6120168529032pts\"], [\"el6120171067320\", \"el6120171067320pts\", \"el6120171163944\", \"el6120171163944pts\"], [\"el6120171067264\", \"el6120171067264pts\", \"el6120171164392\", \"el6120171164392pts\"], [\"el6120171067824\", \"el6120171067824pts\", \"el6120171164840\", \"el6120171164840pts\"], [\"el6120171068272\", \"el6120171068272pts\", \"el6120171165288\", \"el6120171165288pts\"]], \"labels\": [\"a\", \"b\", \"c\", \"d\", \"e\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true, true, true, true]}]});\n",
       "   }(mpld3);\n",
       "}else if(typeof define === \"function\" && define.amd){\n",
       "   // require.js is available: use it to load d3/mpld3\n",
       "   require.config({paths: {d3: \"https://mpld3.github.io/js/d3.v3.min\"}});\n",
       "   require([\"d3\"], function(d3){\n",
       "      window.d3 = d3;\n",
       "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.3.js\", function(){\n",
       "         \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "         mpld3.draw_figure(\"fig_el61201681868804554195241\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.5368181818181819, 0.775, 0.34318181818181814], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.3000428089404207, 0.5390117118770092], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.3000428089404207, 0.5390117118770092], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 6, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120168186768\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el6120171066928\", \"color\": 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0.3189683095792753, 0.3588949547178696, -0.10269319041597237, 0.3066148786692182], [6.363636363636363, -0.09555281756789355, 0.2969834091196145, 0.3933720536476667, -0.1024740011964972, 0.3146434862410345], [6.4646464646464645, -0.12717772613827205, 0.30288393204462266, 0.41065749678765656, -0.09660579572969467, 0.2759613415023003], [6.565656565656566, -0.16150933707222936, 0.3259719288025557, 0.3797082195491324, -0.12039319362992221, 0.30155604435641514], [6.666666666666667, -0.11295735852725117, 0.33885698831042593, 0.37549255334801895, -0.09286725840961457, 0.32620672103743364], [6.767676767676767, -0.13875385717823852, 0.37279684769689214, 0.3419330322626473, -0.11300698463377337, 0.3689253134818801], [6.8686868686868685, -0.12378607118626742, 0.36768755708888784, 0.3584083915507616, -0.09861240868123348, 0.334262358879845], [6.96969696969697, -0.16958490121773506, 0.3691268077375698, 0.34619701068012165, -0.13619329357469392, 0.37282528322060904], [7.070707070707071, -0.20160194545985882, 0.3556062102830963, 0.375181644024811, -0.15657468264574942, 0.3783856399665942], [7.171717171717171, -0.17315951860399512, 0.362012362175868, 0.412764383384563, -0.12935318298726184, 0.330342409282781], [7.2727272727272725, -0.1499389868226445, 0.3349465631521301, 0.4020813775238583, -0.15449906839875105, 0.33420667516090585], [7.373737373737374, -0.10847879883918335, 0.3254826320786874, 0.41864411761475034, -0.17360305751661206, 0.37533870213131043], [7.474747474747475, -0.09231586409872537, 0.3197913446857949, 0.4377312527014845, -0.1415712390806, 0.3912552577706225], [7.575757575757575, -0.13125759790956806, 0.35299295626651006, 0.40397854618772583, -0.153208448450333, 0.4038733888296992], [7.6767676767676765, -0.12289829442711307, 0.34215601527766887, 0.430440254176686, -0.10932500092558428, 0.37093893180179477], [7.777777777777778, -0.12516421324379617, 0.3604335050571455, 0.4559166996885962, -0.15272679849281712, 0.3400753892436862], [7.878787878787879, -0.17085157506957938, 0.4034553647786958, 0.47024116690388656, -0.1255918097787052, 0.31021901819729725], [7.979797979797979, -0.14365814865771256, 0.44093575818786124, 0.4915953390352182, -0.0852928728090999, 0.3410094971685281], [8.080808080808081, -0.15424758034855587, 0.40686805866887343, 0.4794992334186591, -0.0929541578127477, 0.2951718932242098], [8.181818181818182, -0.10809880722877414, 0.38578198791511714, 0.4970816388073542, -0.08517923074699077, 0.27692422181699566], [8.282828282828282, -0.13407431672600104, 0.3830267471693368, 0.45749626257846265, -0.07967005070386002, 0.24786982290404566], [8.383838383838384, -0.11697478086358938, 0.3862432802104922, 0.4747722807289935, -0.04285775113335237, 0.23356400052130397], [8.484848484848484, -0.08739560794996976, 0.3946031893927342, 0.5008728700216715, -0.04611802223445429, 0.2532595610321785], [8.585858585858587, -0.07045842327560524, 0.365328619736206, 0.4755691856991199, -0.017223911041488633, 0.21126438797623998], [8.686868686868687, -0.11568776884765816, 0.33328276063870493, 0.45625290697742166, 0.028220493866719702, 0.24638289344622522], [8.787878787878787, -0.15678908175334216, 0.36121653899861783, 0.4442272514492243, -0.004492568394199967, 0.2362462839853604], [8.88888888888889, -0.17489285822318776, 0.36605497340477916, 0.4018120207175128, -0.02566792368282925, 0.18733328033338809], [8.98989898989899, -0.2065739542140989, 0.3415909536940002, 0.4232484435514892, -0.016083879865587243, 0.20834101571691616], [9.09090909090909, -0.21327815729560717, 0.2967683793552418, 0.4093093651858375, -0.026234372347686018, 0.2354596452979889], [9.191919191919192, -0.20425751444096085, 0.2601841839086542, 0.415325731771622, -0.042943555034095096, 0.2214187576883263], [9.292929292929292, -0.15771395368528357, 0.2621003694512929, 0.3700806025806436, -0.07718457914097249, 0.2414678234947864], [9.393939393939394, -0.13337393346923068, 0.28270619082153314, 0.3700056527032949, -0.0538755138832243, 0.22449121161915725], [9.494949494949495, -0.17582795964111753, 0.26844009376772193, 0.33372094543912684, -0.019012843329016677, 0.19730874502703466], [9.595959595959595, -0.20544015639944102, 0.22408428385666926, 0.3746530591992019, -0.05225892714356296, 0.1965218269106735], [9.696969696969697, -0.17078189736118332, 0.24818913412776256, 0.37787755343485113, -0.08136699072031105, 0.153339808828922], [9.797979797979798, -0.2119613362143894, 0.24942433588571983, 0.4246081717042923, -0.11670997117620327, 0.12395018967564922], [9.8989898989899, -0.20848396657064122, 0.22299075743308255, 0.42230276595987226, -0.10820813639961412, 0.08219699977948114], [10.0, -0.22415985451818005, 0.2707460798773318, 0.4536880416847564, -0.06559126417002595, 0.12044623819619585]]}, \"id\": \"el6120168186880\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}, {\"type\": \"interactive_legend\", \"element_ids\": [[\"el6120171066928\", \"el6120171066928pts\", \"el6120168529032\", \"el6120168529032pts\"], [\"el6120171067320\", \"el6120171067320pts\", \"el6120171163944\", \"el6120171163944pts\"], [\"el6120171067264\", \"el6120171067264pts\", \"el6120171164392\", \"el6120171164392pts\"], [\"el6120171067824\", \"el6120171067824pts\", \"el6120171164840\", \"el6120171164840pts\"], [\"el6120171068272\", \"el6120171068272pts\", \"el6120171165288\", \"el6120171165288pts\"]], \"labels\": [\"a\", \"b\", \"c\", \"d\", \"e\"], \"ax\": null, \"alpha_unsel\": 0.2, \"alpha_over\": 1.0, \"start_visible\": [true, true, true, true, true]}]});\n",
       "      });\n",
       "    });\n",
       "}else{\n",
       "    // require.js not available: dynamically load d3 & mpld3\n",
       "    mpld3_load_lib(\"https://mpld3.github.io/js/d3.v3.min.js\", function(){\n",
       "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.3.js\", function(){\n",
       "                 \n",
       "    mpld3.register_plugin(\"interactive_legend\", InteractiveLegend);\n",
       "    InteractiveLegend.prototype = Object.create(mpld3.Plugin.prototype);\n",
       "    InteractiveLegend.prototype.constructor = InteractiveLegend;\n",
       "    InteractiveLegend.prototype.requiredProps = [\"element_ids\", \"labels\"];\n",
       "    InteractiveLegend.prototype.defaultProps = {\"ax\":null,\n",
       "                                                \"alpha_unsel\":0.2,\n",
       "                                                \"alpha_over\":1.0,\n",
       "                                                \"start_visible\":true}\n",
       "    function InteractiveLegend(fig, props){\n",
       "        mpld3.Plugin.call(this, fig, props);\n",
       "    };\n",
       "\n",
       "    InteractiveLegend.prototype.draw = function(){\n",
       "        var alpha_unsel = this.props.alpha_unsel;\n",
       "        var alpha_over = this.props.alpha_over;\n",
       "\n",
       "        var legendItems = new Array();\n",
       "        for(var i=0; i<this.props.labels.length; i++){\n",
       "            var obj = {};\n",
       "            obj.label = this.props.labels[i];\n",
       "\n",
       "            var element_id = this.props.element_ids[i];\n",
       "            mpld3_elements = [];\n",
       "            for(var j=0; j<element_id.length; j++){\n",
       "                var mpld3_element = mpld3.get_element(element_id[j], this.fig);\n",
       "\n",
       "                // mpld3_element might be null in case of Line2D instances\n",
       "                // for we pass the id for both the line and the markers. Either\n",
       "                // one might not exist on the D3 side\n",
       "                if(mpld3_element){\n",
       "                    mpld3_elements.push(mpld3_element);\n",
       "                }\n",
       "            }\n",
       "\n",
       "            obj.mpld3_elements = mpld3_elements;\n",
       "            obj.visible = this.props.start_visible[i]; // should become be setable from python side\n",
       "            legendItems.push(obj);\n",
       "            set_alphas(obj, false);\n",
       "        }\n",
       "\n",
       "        // determine the axes with which this legend is associated\n",
       "        var ax = this.props.ax\n",
       "        if(!ax){\n",
       "            ax = this.fig.axes[0];\n",
       "        } else{\n",
       "            ax = mpld3.get_element(ax, this.fig);\n",
       "        }\n",
       "\n",
       "        // add a legend group to the canvas of the figure\n",
       "        var legend = this.fig.canvas.append(\"svg:g\")\n",
       "                               .attr(\"class\", \"legend\");\n",
       "\n",
       "        // add the rectangles\n",
       "        legend.selectAll(\"rect\")\n",
       "                .data(legendItems)\n",
       "                .enter().append(\"rect\")\n",
       "                .attr(\"height\", 10)\n",
       "                .attr(\"width\", 25)\n",
       "                .attr(\"x\", ax.width + ax.position[0] + 25)\n",
       "                .attr(\"y\",function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10;})\n",
       "                .attr(\"stroke\", get_color)\n",
       "                .attr(\"class\", \"legend-box\")\n",
       "                .style(\"fill\", function(d, i) {\n",
       "                           return d.visible ? get_color(d) : \"white\";})\n",
       "                .on(\"click\", click).on('mouseover', over).on('mouseout', out);\n",
       "\n",
       "        // add the labels\n",
       "        legend.selectAll(\"text\")\n",
       "              .data(legendItems)\n",
       "              .enter().append(\"text\")\n",
       "              .attr(\"x\", function (d) {\n",
       "                           return ax.width + ax.position[0] + 25 + 40;})\n",
       "              .attr(\"y\", function(d,i) {\n",
       "                           return ax.position[1] + i * 25 + 10 + 10 - 1;})\n",
       "              .text(function(d) { return d.label });\n",
       "\n",
       "\n",
       "        // specify the action on click\n",
       "        function click(d,i){\n",
       "            d.visible = !d.visible;\n",
       "            d3.select(this)\n",
       "              .style(\"fill\",function(d, i) {\n",
       "                return d.visible ? get_color(d) : \"white\";\n",
       "              })\n",
       "            set_alphas(d, false);\n",
       "\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function over(d,i){\n",
       "             set_alphas(d, true);\n",
       "        };\n",
       "\n",
       "        // specify the action on legend overlay \n",
       "        function out(d,i){\n",
       "             set_alphas(d, false);\n",
       "        };\n",
       "\n",
       "        // helper function for setting alphas\n",
       "        function set_alphas(d, is_over){\n",
       "            for(var i=0; i<d.mpld3_elements.length; i++){\n",
       "                var type = d.mpld3_elements[i].constructor.name;\n",
       "\n",
       "                if(type ==\"mpld3_Line\"){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alpha;\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.select(d.mpld3_elements[i].path[0][0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"stroke-width\", is_over ? \n",
       "                                alpha_over * d.mpld3_elements[i].props.edgewidth : d.mpld3_elements[i].props.edgewidth);\n",
       "                } else if((type==\"mpld3_PathCollection\")||\n",
       "                         (type==\"mpld3_Markers\")){\n",
       "                    var current_alpha = d.mpld3_elements[i].props.alphas[0];\n",
       "                    var current_alpha_unsel = current_alpha * alpha_unsel;\n",
       "                    var current_alpha_over = current_alpha * alpha_over;\n",
       "                    d3.selectAll(d.mpld3_elements[i].pathsobj[0])\n",
       "                        .style(\"stroke-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel))\n",
       "                        .style(\"fill-opacity\", is_over ? current_alpha_over :\n",
       "                                                (d.visible ? current_alpha : current_alpha_unsel));\n",
       "                } else{\n",
       "                    console.log(type + \" not yet supported\");\n",
       "                }\n",
       "            }\n",
       "        };\n",
       "\n",
       "\n",
       "        // helper function for determining the color of the rectangles\n",
       "        function get_color(d){\n",
       "            var type = d.mpld3_elements[0].constructor.name;\n",
       "            var color = \"black\";\n",
       "            if(type ==\"mpld3_Line\"){\n",
       "                color = d.mpld3_elements[0].props.edgecolor;\n",
       "            } else if((type==\"mpld3_PathCollection\")||\n",
       "                      (type==\"mpld3_Markers\")){\n",
       "                color = d.mpld3_elements[0].props.facecolors[0];\n",
       "            } else{\n",
       "                console.log(type + \" not yet supported\");\n",
       "            }\n",
       "            return color;\n",
       "        };\n",
       "    };\n",
       "    \n",
       "                 mpld3.draw_figure(\"fig_el61201681868804554195241\", {\"width\": 432.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.5368181818181819, 0.775, 0.34318181818181814], \"xlim\": [-0.5, 10.5], \"ylim\": [-0.3000428089404207, 0.5390117118770092], \"xdomain\": [-0.5, 10.5], \"ydomain\": [-0.3000428089404207, 0.5390117118770092], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 6, \"tickvalues\": null, \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el6120168186768\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el6120171066928\", \"color\": \"#1F77B4\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el6120171067320\", \"color\": \"#FF7F0E\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el6120171067264\", \"color\": \"#2CA02C\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el6120171067824\", \"color\": \"#D62728\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.1, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el6120171068272\", \"color\": \"#9467BD\", \"linewidth\": 2.0, 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    "N_paths = 5\n",
    "N_steps = 100\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "y = 0.1 * (np.random.random((N_paths, N_steps)) - 0.5)\n",
    "y = y.cumsum(1)\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(2,1,1)\n",
    "ax2 = fig.add_subplot(2,1,2)\n",
    "\n",
    "labels = [\"a\", \"b\", \"c\", \"d\", \"e\"]\n",
    "l1 = ax1.plot(x, y.T, marker='x',lw=2, alpha=0.1)\n",
    "s1 = ax2.plot(x, y.T, 'o', ms=8, alpha=0.1)\n",
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    "plugins.connect(fig, plugins.InteractiveLegendPlugin(zip(l1, s1), labels))\n",
    "mpld3.display()"
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