Grover's Search.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grover Seach\n",
    "## Initalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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": [
    "%matplotlib notebook\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from math import sqrt, pi\n",
    "from collections import OrderedDict\n",
    "from statistics import mean\n",
    "\n",
    "target = '3'\n",
    "objects = ('1', '2', '3', '4')\n",
    "n = len(objects)\n",
    "amplitude = OrderedDict.fromkeys(objects, 1/sqrt(n))\n",
    "\n",
    "def plotGraph(amplitude, n):\n",
    "    y_pos = np.arange(n)\n",
    "    plt.bar(y_pos, amplitude.values(), align='center', color='g')\n",
    "    plt.xticks(y_pos, amplitude.keys())\n",
    "    plt.ylabel('Amplitude')\n",
    "    plt.title('Grover\\'s Search')\n",
    " \n",
    "    plt.show()\n",
    "\n",
    "plotGraph(amplitude, n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Phase Inversion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OrderedDict([('1', 0.5), ('2', 0.5), ('3', -0.5), ('4', 0.5)])\n"
     ]
    },
    {
     "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "amplitude[target] = amplitude[target] * -1\n",
    "print(amplitude)\n",
    "\n",
    "plotGraph(amplitude, n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inversion about the Mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean = 0.25\n",
      "OrderedDict([('1', 0.0), ('2', 0.0), ('3', 1.0), ('4', 0.0)])\n"
     ]
    },
    {
     "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "avg = mean(amplitude.values())\n",
    "print(\"Mean = {}\".format(avg))\n",
    "for k, v in amplitude.items():\n",
    "    if k == target:\n",
    "        amplitude[k] = (2 * avg) + abs(v)\n",
    "        continue\n",
    "    amplitude[k] = v-(2*(v-avg))\n",
    "print(amplitude)\n",
    "\n",
    "plotGraph(amplitude, n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## General Example\n",
    "Using sha256 as the oracle function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rounds required: 4\n"
     ]
    },
    {
     "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "import hashlib\n",
    "\n",
    "def oracle(x):\n",
    "    return hashlib.sha256(bytes(x, 'utf-8')).hexdigest()\n",
    "\n",
    "def grover(target, objects, n, rounds):\n",
    "    # initialization\n",
    "    y_pos = np.arange(n)\n",
    "    amp = OrderedDict.fromkeys(objects, 1/sqrt(n))\n",
    "\n",
    "    for i in range(0, rounds, 2):\n",
    "        # phase inversion\n",
    "        for k, v in amp.items():\n",
    "            if oracle(k) == target:\n",
    "                amp[k] = v * -1\n",
    "\n",
    "        # inversion abt mean\n",
    "        avg = mean(amp.values())\n",
    "        for k, v in amp.items():\n",
    "            if oracle(k) == target:\n",
    "                amp[k] = (2 * avg) + abs(v)\n",
    "                continue\n",
    "            amp[k] = v-(2*(v-avg))\n",
    "    return amp\n",
    "\n",
    "import string\n",
    "# needle = oracle(\"f\")\n",
    "needle = \"2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881\"\n",
    "# haystack = string.ascii_letters + string.digits + string.punctuation\n",
    "haystack = string.ascii_lowercase\n",
    "n = len(haystack)\n",
    "rounds = int((pi / 4) * sqrt(n))\n",
    "print(\"Rounds required: {}\".format(rounds))\n",
    "plotGraph(grover(needle, haystack, n, rounds), n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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
}