machinelearning_notebook/0_numpy_matplotlib_scipy_sympy/matplotlib_ani2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width, fig.canvas.height);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib nbagg\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "\n",
    "fig = plt.figure()\n",
    "x = np.arange(0, 10, 0.1)\n",
    "\n",
    "ims = []\n",
    "for a in range(50):\n",
    "    y = np.sin(x - a)\n",
    "    im = plt.plot(x, y, \"r\")\n",
    "    ims.append(im)\n",
    "\n",
    "ani = animation.ArtistAnimation(fig, ims)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}