{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Imshow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import animatplot as amp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we focus on creating the data. An ising model is used to make this data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define LxL matrix\n",
    "L = 55\n",
    "# Initialize as random spin\n",
    "M = 2 * (np.random.rand(L, L) > 0.5) - 1\n",
    "J = 1\n",
    "b = 2.5\n",
    "\n",
    "nPer = 100\n",
    "\n",
    "images = [M]\n",
    "for i in range(100):\n",
    "    M = M.copy()\n",
    "    for dm in range(nPer):\n",
    "        jj = int(np.random.rand() * L - 1)\n",
    "        kk = int(np.random.rand() * L - 1)\n",
    "        dE = (\n",
    "            2\n",
    "            * J\n",
    "            * (M[jj + 1, kk] + M[jj - 1, kk] + M[jj, kk + 1] + M[jj, kk - 1])\n",
    "            * M[jj, kk]\n",
    "        )\n",
    "        if dE <= 0:\n",
    "            M[jj, kk] *= -1\n",
    "        else:\n",
    "            if np.random.rand() < np.exp(-b * dE):\n",
    "                M[jj, kk] *= -1\n",
    "    images.append(M)\n",
    "    M[:, -1] = M[:, 0]\n",
    "    M[-1, :] = M[0, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we plot it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "block = amp.blocks.Imshow(images)\n",
    "anim = amp.Animation([block])\n",
    "\n",
    "anim.controls()\n",
    "anim.save_gif(\"ising\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. image:: ising.gif"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
