SEM_EDOF.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Correlation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's experiment with correlation using fake time series.  We will also take a quick look at interpolation.  In all of the following, the assumption is that arrays contain data sampled uniformly in time or space.  (This can be relaxed when calculating the correlation coefficient at zero lag.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "# Our standard imports:\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Access to many standard distributions:\n",
    "import scipy.stats as ss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first thing to do is find out what functions are available, and how to use at least some of them. There are several types of calculation in the category of \"correlation\".  \"Autocorrelation\" is the correlation of a time series with a lagged copy of itself.  \"Crosscorrelation\" is correlation between two series of the same length, with or without lags. \"Correlation coefficient\" is a normalized correlation.  \"Convolution\" is a lagged correlation in which the series may differ in length, and in which one of the series is reversed.  There are also variations involving normalization, and the treatment of complex numbers.  The terminology is not entirely standardized, and can differ from one discipline to another. Before you use any given function, check to be sure you know exactly what it is doing. I suggest that you take a look at \n",
    "\n",
    "- http://docs.scipy.org/doc/numpy/reference/generated/numpy.corrcoef.html#numpy.corrcoef\n",
    "- http://docs.scipy.org/doc/numpy/reference/generated/numpy.ma.corrcoef.html#numpy.ma.corrcoef (for masked arrays)\n",
    "- http://docs.scipy.org/doc/numpy/reference/generated/numpy.correlate.html#numpy.correlate\n",
    "- http://docs.scipy.org/doc/numpy/reference/generated/numpy.convolve.html#numpy.convolve\n",
    "- http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.fftconvolve.html#scipy.signal.fftconvolve\n",
    "\n",
    "Notice that only one of these handles masked arrays; it calculates the correlation coefficients with zero lag.  For anything else, if you have masked arrays or NaNs, you need to write your own code to handle the missing points appropriately.  Unless you are calculating a zero-lag correlation, deleting missing points, thereby shortening an array, will *not* be a good solution.  You will need to replace the bad points via interpolation or some other method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation coefficient"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Start with the correlation coefficient between two independent random series. We will make an ensemble of series, and find the PDF of the correlation coefficient as the normalized histogram of correlation coefficients for all pairs. The `np.corrcoef` function provides an efficient way to do this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The shape of y is (200, 100), the shape of ccoef is (200, 200).\n"
     ]
    },
    {
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       "    y1 = Math.floor(y1) + 0.5;\n",
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       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
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       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
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       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
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       "            cursor = 'pointer';\n",
       "            break;\n",
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       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
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       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
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       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
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       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
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       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ntrials = 200\n",
    "npts = 100\n",
    "\n",
    "np.random.seed(1234)\n",
    "y = np.random.rand(ntrials, npts)  # uniform distribution\n",
    "ccoef = np.corrcoef(y)\n",
    "print('The shape of y is %s, the shape of ccoef is %s.' \n",
    "      % (y.shape, ccoef.shape))\n",
    "\n",
    "# we want all of the values except for the diagonal\n",
    "di = np.diag_indices(ntrials)\n",
    "ccoef = np.ma.asarray(ccoef)\n",
    "ccoef[di] = np.ma.masked\n",
    "ccoef_flat = ccoef.compressed()\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.hist(ccoef_flat, bins=np.arange(-0.500, 0.5001, 0.01),\n",
    "        density=True)\n",
    "ax.grid(True)\n",
    "ax.set_ylabel('PDF')\n",
    "ax.set_xlabel('Correlation coefficient')\n",
    "ax.set_title('Uniform distribution, %d points' % npts);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can try the same thing with a normal distribution, or any other variation you like.  What happens if you use a small number of points in the series, say 10, instead of the larger number (100) in the example above?  Think about it, then experiment!\n",
    "\n",
    "We can calculate the correlation coefficient using other functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.027827597971226907 -0.027827597971226872\n"
     ]
    }
   ],
   "source": [
    "x = np.random.rand(100)\n",
    "y = np.random.rand(100)\n",
    "\n",
    "# With correlate:\n",
    "# We must remove the means.\n",
    "cc1 = np.correlate(x - x.mean(), y - y.mean())[0]\n",
    "# And we must normalize by the number of points\n",
    "# and the product of the standard deviations.\n",
    "cc1 /= (len(x) * x.std() * y.std())\n",
    "\n",
    "# with corrcoef:\n",
    "cc2 = np.corrcoef(x, y)[0, 1] # returns the 2x2 matric =>  0,1 selects the off-diagnol\n",
    "\n",
    "print(cc1, cc2)\n",
    "\n",
    "# np.corrcoef?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the `correlate` function is just returning a *sum of products*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `correlate` function is more general, however; with the `mode='full'` kwarg, it is useful for calculating the correlation as a function of lag.  Start with autocorrelation. Note that zero-padding is used, so that the estimated sample correlation at a given lag is the sum of the overlapping products.  To get an estimate of the autocorrelation function, we normalize by the value at zero-lag.  The zero-padding builds in a taper towards zero at maximum magnitude of the lag.  Hence it is a biased estimator, but one with reduced mean squared error compared to an unbiased estimator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx = 50\n",
    "x = np.random.rand(nx) # normal RV\n",
    "\n",
    "lags = np.arange(-nx + 1, nx) # so last value is nx - 1\n",
    "\n",
    "# Remove sample mean.\n",
    "xdm = x - x.mean()\n",
    "\n",
    "autocorr_xdm = np.correlate(xdm, xdm, mode='full')\n",
    "\n",
    "# Normalize by the zero-lag value:\n",
    "autocorr_xdm /= autocorr_xdm[nx - 1]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(lags, autocorr_xdm, 'r')\n",
    "ax.set_xlabel('lag')\n",
    "ax.set_ylabel('correlation coefficient')\n",
    "ax.grid(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that in the example above, removing the sample mean has very little effect, because the sample mean is nearly zero.  With typical data sets, this will not be the case. In general you *should* remove the sample mean before estimating the autocorrelation--and the `correlate` function does not do this for you. \n",
    "\n",
    "\n",
    "\n",
    "Exercise: illustrate this by executing the above cell with `randn` changed to `rand`.\n",
    "\n",
    "\n",
    "\n",
    "Exercise: execute the cell multiple times, noting that the plot changes each time, because each call to `randn` yields a different set of numbers.  The true autocorrelation is zero at all non-zero lags, but the *sample* autocorrelation estimate is not zero.\n",
    "\n",
    "\n",
    "\n",
    "Exercise: execute the above cell with different values of nx."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sequentially correlated data: equivalent degrees of freedom (EDOF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's make a function to calculate the estimated autocorrelation, so we don't have to keep typing in the same steps:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def autocorr(x, twosided=False, tapered=True):\n",
    "    \"\"\"\n",
    "    Return (lags, ac), where ac is the estimated autocorrelation \n",
    "    function for x, at the full set of possible lags.\n",
    "    \n",
    "    If twosided is True, all lags will be included;\n",
    "    otherwise (default), only non-negative lags will be included.\n",
    "\n",
    "    If tapered is True (default), the low-MSE estimate, linearly\n",
    "    tapered to zero for large lags, is returned.\n",
    "    \"\"\"\n",
    "    nx = len(x)\n",
    "    xdm = x - x.mean()\n",
    "    ac = np.correlate(xdm, xdm, mode='full')\n",
    "    ac /= ac[nx - 1]\n",
    "    lags = np.arange(-nx + 1, nx)\n",
    "    if not tapered:  # undo the built-in taper\n",
    "        taper = 1 - np.abs(lags) / float(nx)\n",
    "        ac /= taper\n",
    "    if twosided:\n",
    "        return lags, ac\n",
    "    else:\n",
    "        return lags[nx-1:], ac[nx-1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we also need a function for estimating the equivalent number of degrees of freedom (EDOF) for the standard error of the mean.  Note that the EDOF is itself just an uncertain estimate, specific to a particular statistic (here, to the SEM), and with no one perfect estimator.\n",
    "\n",
    "Let's just make a single function that returns the mean, the SEM, and the EDOF used to estimate the SEM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_sem_edof(y, truncated=True, tapered_cor=True):\n",
    "    \"\"\"\n",
    "    Return the mean, SEM, and EDOF for the sequence y.\n",
    "\n",
    "    If truncated is True (default), the EDOF and SEM will\n",
    "    be calculated based on only the positive central peak of\n",
    "    the sample autocorrelation.\n",
    "\n",
    "    If tapered_cor is True (default), the low-MSE estimate of\n",
    "    the lagged correlation is used.\n",
    "    \"\"\"\n",
    "    ym = y.mean()\n",
    "    n = len(y)\n",
    "    lags, ac = autocorr(y, twosided=True, tapered=tapered_cor)\n",
    "    taper = 1 - np.abs(lags) / n\n",
    "    if truncated:\n",
    "        i1 = np.nonzero(np.logical_and(lags >= 0, ac < 0))[0].min()\n",
    "        i0 = 2 * n - i1 - 1  # taking advantage of symmetry...\n",
    "        sl = slice(i0, i1)\n",
    "    else:\n",
    "        sl = slice(None)\n",
    "    edof = n / np.sum(taper[sl] * ac[sl])\n",
    "    with np.errstate(invalid='ignore'):\n",
    "        sem = y.std() / np.sqrt(edof)\n",
    "    return ym, sem, edof"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we take a set of uncorrelated points and apply a smoothing operator, the output will be sequentially correlated. This is illustrated below with a 5-point boxcar filter, implemented using the `convolve` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx = 200\n",
    "t = np.arange(nx)\n",
    "x = np.random.randn(nx)\n",
    "rmw=5 # running-mean window\n",
    "xc = np.convolve(x, np.ones(rmw) / rmw, mode='same')\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(2)\n",
    "fig.subplots_adjust(hspace=0.4)\n",
    "ax0.plot(t, x, 'b', t, xc, 'r')\n",
    "ax0.set_xlabel('time')\n",
    "ax0.set_ylabel('random data')\n",
    "\n",
    "lags, auto_x = autocorr(x)\n",
    "lags, auto_xc = autocorr(xc)\n",
    "ax1.plot(lags, auto_x, 'b', lags, auto_xc, 'r')\n",
    "ax1.set_xlabel('lag')\n",
    "ax1.set_ylabel('correlation')\n",
    "\n",
    "for ax in (ax0, ax1):\n",
    "    ax.locator_params(axis='y', nbins=4)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice how smoothing a series of independent random numbers has yielded a slowly-varying time series, and an estimated autocorrelation function with a wider central lobe and larger values in the side lobes where the *true* autocorrelation is zero; values separated by more than the width of the smoothing window are actually still statistically independent, but this is not clear based on the *sample* autocorrelation.\n",
    "\n",
    "\n",
    "\n",
    "Exercise: use simple statistical concepts to explain *why* we see these *larger* sidelobes.\n",
    "\n",
    "\n",
    "\n",
    "Exercise: calculate mean, SEM, and EDOF for many realizations, and quantify how well or how badly this estimate of SEM matches the actual statistics of the mean. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "for truncated in (True, False):\n",
    "    print(\"Integrating over central peak? \", truncated)\n",
    "    for tapered_cor in (True, False):\n",
    "        print(\"  Tapered correlation estimate? \", tapered_cor)\n",
    "        print(\"    x:  %7.3f  %7.3f  %9.1f \" % \n",
    "              mean_sem_edof(x, truncated=truncated, tapered_cor=tapered_cor))\n",
    "        print(\"    xc: %7.3f  %7.3f  %9.1f \" % \n",
    "              mean_sem_edof(xc, truncated=truncated, tapered_cor=tapered_cor)) \n",
    "        print(\"\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that integrating over the whole lagged autocorrelation function fails if the tapered estimator is not used, and is wildly inaccurate even when the tapered estimator is used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cross correlation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What one sees most often in data analysis papers is not the autocorrelation, but the cross correlation between two time series, or between a single time series, such as the Southern Oscillation Index (SOI) and the time series at each of many locations, such as SST on a 1-degree grid.  Such cross correlations can be at zero lag, or as a function of lag.  The calculation is straightforward; the main point of confusion is the definition of the lag.  Let's experiment with two time series, each with a sinusoid plus some noise.  The first, `y1`, reaches its maximum value 1/4 cycle *after* the second one, `y2`.  Therefore `y1` *lags* `y2`, or `y2` *leads* `y1`.  Unfortunately, there is no single convention for defining the cross-covariance or cross-correlation; Jenkins and Watts (1968) use one convention, and Emery and Thompson (2001) use the opposite.  The `np.correlate()` function matches Emery and Thompson; we will use that one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"697.5833333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "max correlation is at lag 30\n",
      "0.8824871826126488\n"
     ]
    }
   ],
   "source": [
    "npts = 500\n",
    "x = np.linspace(0, 50, npts)\n",
    "y1 = 5 * np.sin(x/2) + np.random.randn(npts)\n",
    "y2 = 5 * np.cos(x/2) + np.random.randn(npts)\n",
    "\n",
    "lags = np.arange(-npts + 1, npts)\n",
    "ccov = np.correlate(y1 - y1.mean(), y2 - y2.mean(), mode='full')\n",
    "ccor = ccov / (npts * y1.std() * y2.std())\n",
    "\n",
    "fig, axs = plt.subplots(nrows=2)\n",
    "# fig.subplots_adjust(hspace=0.4)\n",
    "ax = axs[0]\n",
    "ax.plot(x, y1, 'b', label='y1')\n",
    "ax.plot(x, y2, 'r', label='y2')\n",
    "ax.set_ylim(-10, 10)\n",
    "ax.legend(loc='upper right', fontsize='small', ncol=2)\n",
    "\n",
    "ax = axs[1]\n",
    "ax.plot(lags, ccor)\n",
    "ax.set_ylim(-1.1, 1.1)\n",
    "ax.set_ylabel('cross-correlation')\n",
    "ax.set_xlabel('lag of y1 relative to y2')\n",
    "\n",
    "maxlag = lags[np.argmax(ccor)]\n",
    "print(\"max correlation is at lag %d\" % maxlag)\n",
    "print(np.max(ccor))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This can all get quite confusing.  The red curve, `y2`, peaks to the *left* of `y1`.  Doesn't that mean it *lags* `y1`?  No, it *leads*.  Think of yourself moving forward in time, to the right along the x-axis.  As you slide along, you see the red curve peak *before* the blue.\n",
    "\n",
    "To summarize: with the calculation done as above, a positive lag means the first series lags the second, or the second leads the first--peaks earlier in time, so at a location to the left on the time series plot.\n",
    "\n",
    "You will also have noticed that this estimator of the cross-correlation decays to zero at the ends.  This is a biased estimator.  We could remove that bias by normalizing by the number of points going into the sum instead of by the total number of points.  In practice it usually doesn't matter.  To get a reliable lagged correlation, one needs a large number of points, and usually the only lags of interest are a small fraction of the total number of points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Irregular sampling and interpolation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Estimation of statistical constructs such as the lagged autocorrelation function are vastly simpler when the data are uniformly spaced.  When real data are not uniformly sampled, we often use the expedient of interpolation to put them on a uniform grid for analysis.  The simplest method, linear interpolation, is usually good enough; and a general principle of data analysis is, \"use the simplest technique that will reveal the signal of interest\".  (Actually, there is a simpler method than linear interpolation.  If the sampling is only slightly non-uniform, so that sample times are close to regular grid points, then nearest-neighbor interpolation to the uniform grid can be superior to interpolation.)\n",
    "\n",
    "\n",
    "\n",
    "Here, we will make a quite irregular set of fake sample times by summing uniformly distributed random values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "standard deviations:  1.021593204641403 0.7852041268794747\n"
     ]
    },
    {
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       "        this.context.msBackingStorePixelRatio ||\n",
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       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
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       "    var fig = this;\n",
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       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
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       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
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       "\n",
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       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
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       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
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       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
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       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'autocorrelation')"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nt = 50\n",
    "t = 2 * np.random.rand(50).cumsum()\n",
    "x = np.random.randn(nt)\n",
    "\n",
    "# Make a uniform grid, with the same number of points:\n",
    "tnew = np.linspace(t.min(), t.max(), nt)\n",
    "xnew = np.interp(tnew, t, x)\n",
    "\n",
    "print(\"standard deviations: \", x.std(), xnew.std())\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(2)\n",
    "fig.subplots_adjust(hspace=0.4)\n",
    "ax0.plot(t, x, 'bo', label='original') \n",
    "ax0.plot(tnew, xnew, 'ro', label='interpolated')\n",
    "ax0.set_xlabel('time')\n",
    "ax0.set_ylabel('measurement')\n",
    "ax0.legend(loc='upper right', ncol=2, fontsize='small')\n",
    "ax0.set_ylim(-5, 5)\n",
    "\n",
    "lags, auto_x = autocorr(xnew)\n",
    "ax1.plot(lags, auto_x, 'ro')\n",
    "\n",
    "for ax in (ax0, ax1):\n",
    "    ax.locator_params(axis='y', nbins=4)\n",
    "\n",
    "ax1.set_xlim(0, nt//3) # To see the smaller lags better.\n",
    "ax1.set_ylim(-1.1, 1.1)\n",
    "ax1.set_xlabel('lag')\n",
    "ax1.set_ylabel('autocorrelation')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice how the interpolation has reduced the standard deviation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpolating gaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Often observations are taken at uniform intervals, but there are gaps because something went wrong. We will illustrate with a fake time series consisting of a sinusoid plus noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f039bd33400>"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npts = 500\n",
    "x = np.linspace(0, 50, npts)\n",
    "y = 5 * np.sin(x/2) + np.random.randn(npts)\n",
    "y_orig = y.copy() \n",
    "\n",
    "# Insert some nans:\n",
    "y[::7] = np.nan\n",
    "y[::10] = np.nan\n",
    "\n",
    "ym = np.ma.masked_invalid(y)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, ym, 'bo', label='retained')\n",
    "ax.plot(x[ym.mask], y_orig[ym.mask], 'ro', label='deleted')\n",
    "ax.set_ylim([-10, 10])\n",
    "ax.legend(loc='upper right', fontsize='small', ncol=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now interpolate.  We need to make x and y ndarrays with no gaps by removing the points where ym is masked."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "xtab = np.ma.array(x, mask=ym.mask).compressed()\n",
    "ytab = ym.compressed()\n",
    "\n",
    "yfilled = ym.filled()   # no longer masked\n",
    "yfilled[ym.mask] = np.interp(x[ym.mask], xtab, ytab)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f039ba7efa0>"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, ym, 'bo', label='retained')\n",
    "ax.plot(x[ym.mask], yfilled[ym.mask], 'ro', label='interpolated')\n",
    "ax.set_ylim([-10, 10])\n",
    "ax.legend(loc='upper right', fontsize='small', ncol=2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I like using masked arrays, but of course we could easily do the same thing without detouring through ma:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "They are identical? True\n"
     ]
    }
   ],
   "source": [
    "mask = np.isnan(y)\n",
    "yfilled2 = y.copy()\n",
    "yfilled2[mask] = np.interp(x[mask], x[~mask], y[~mask])\n",
    "\n",
    "identical = (yfilled2 == yfilled).all()\n",
    "print(\"They are identical?\", identical)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}