XRD analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e77e85e2",
   "metadata": {},
   "source": [
    "# XRD Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8441381",
   "metadata": {},
   "source": [
    "## Raw Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d25e80e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
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       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
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       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
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       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
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       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
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       "    titletext.classList = 'ui-dialog-title';\n",
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       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
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       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
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       "\n",
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       "                    height = entry.contentBoxSize[0].blockSize;\n",
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       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
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       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
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       "            return fig.mouse_event(event, name);\n",
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       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
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       "        on_mouse_event_closure('button_release')\n",
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       "        on_mouse_event_closure('dblclick')\n",
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       "        on_mouse_event_closure('motion_notify')\n",
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       "        on_mouse_event_closure('figure_enter')\n",
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       "        on_mouse_event_closure('figure_leave')\n",
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       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>two_theta</th>\n",
       "      <th>intensity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10.00</td>\n",
       "      <td>4625.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>10.01</td>\n",
       "      <td>4715.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>10.02</td>\n",
       "      <td>4460.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>10.03</td>\n",
       "      <td>4520.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>10.04</td>\n",
       "      <td>4135.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   two_theta  intensity\n",
       "0      10.00     4625.0\n",
       "1      10.01     4715.0\n",
       "2      10.02     4460.0\n",
       "3      10.03     4520.0\n",
       "4      10.04     4135.0"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os\n",
    "import math\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as ticker\n",
    "import scipy\n",
    "from scipy import signal\n",
    "from scipy.signal import find_peaks\n",
    "from scipy.interpolate import interp1d\n",
    "from lmfit import Model\n",
    "from scipy.optimize import curve_fit\n",
    "from IPython.display import display\n",
    "import ipywidgets as widgets\n",
    "import re\n",
    "\n",
    "\n",
    "# Enable interactive plots in Jupyter Notebook\n",
    "%matplotlib nbagg\n",
    "\n",
    "# Set the path to the foldercontaining text files\n",
    "folder_path = \"C:\\\\Users\\\\w16025698\\\\OneDrive - Northumbria University - Production Azure AD\\\\PhD\\\\Characterisation\\\\XRD\\\\230607_XRD\"\n",
    "\n",
    "file_name = \"230310E_XRD.xy\"\n",
    "file_title = file_name.replace('.xy', '')\n",
    "\n",
    "# Read the data from the text file, skipping the first lines\n",
    "df = pd.read_csv(os.path.join(folder_path, file_name), sep=\" \", skiprows=717, header=None, names=[\"two_theta\", \"intensity\"])\n",
    "#df = pd.read_csv(os.path.join(folder_path, file_name), sep=\"\\t\", header=None, names=[\"two_theta\", \"intensity\", \"NA\"])\n",
    "\n",
    "# Load the XRD reference pattern from Excel\n",
    "reference_path = 'C:\\\\Users\\\\w16025698\\\\OneDrive - Northumbria University - Production Azure AD\\\\PhD\\\\Characterisation\\\\XRD\\\\XRD ref patterns.xlsx'\n",
    "CZTSe_reference_df = pd.read_excel(reference_path, sheet_name='CZTSe')\n",
    "CZTS_reference_df = pd.read_excel(reference_path, sheet_name='CZTS')\n",
    "MoSe2_reference_df = pd.read_excel(reference_path, sheet_name='MoSe2')\n",
    "Mo_reference_df = pd.read_excel(reference_path, sheet_name='Mo')\n",
    "\n",
    "CZTSe_reference_df = CZTSe_reference_df.rename(columns={CZTSe_reference_df.columns[0]: 'Two Theta', CZTSe_reference_df.columns[1]: 'Intensity'})\n",
    "CZTS_reference_df = CZTS_reference_df.rename(columns={CZTS_reference_df.columns[0]: 'Two Theta', CZTS_reference_df.columns[1]: 'Intensity'})\n",
    "MoSe2_reference_df = MoSe2_reference_df.rename(columns={MoSe2_reference_df.columns[0]: 'Two Theta', MoSe2_reference_df.columns[1]: 'Intensity'})\n",
    "Mo_reference_df = Mo_reference_df.rename(columns={Mo_reference_df.columns[0]: 'Two Theta', Mo_reference_df.columns[1]: 'Intensity'})\n",
    "\n",
    "# Create a simple line plot of the XRD raw data\n",
    "plt.plot(df[\"two_theta\"], df[\"intensity\"])\n",
    "plt.xlabel(\"2θ (degrees)\")\n",
    "plt.ylabel(\"Intensity (counts)\")\n",
    "plt.title(file_title)\n",
    "plt.show()\n",
    "\n",
    "# View the first few rows of the DataFrame\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c932350e",
   "metadata": {},
   "source": [
    "## Peak Locator Function\n",
    "\n",
    "This code block finds the approximate peak position allowing for the determination and subsequent subtraction of the baseline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fe4df530",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
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       "        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",
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       "    titlebar.classList =\n",
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       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
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       "            } else {\n",
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       "            if (entry.devicePixelContentBoxSize) {\n",
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       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
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       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
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       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
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       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
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       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
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       "        return false;\n",
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       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" 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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "40      10.40\n",
      "748     17.48\n",
      "1218    22.18\n",
      "1727    27.27\n",
      "2231    32.31\n",
      "2634    36.34\n",
      "3047    40.47\n",
      "3529    45.29\n",
      "3857    48.57\n",
      "4369    53.69\n",
      "5124    61.24\n",
      "5605    66.05\n",
      "6279    72.79\n",
      "6692    76.92\n",
      "6720    77.20\n",
      "6775    77.75\n",
      "6960    79.60\n",
      "Name: two_theta, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "def find_peak_centers(x, y, widths=(40, 50)):\n",
    "    peak_indices = signal.find_peaks_cwt(y, widths)\n",
    "    return x[peak_indices]\n",
    "\n",
    "peak_centers_approx = find_peak_centers(df['two_theta'], df['intensity'], widths=(40, 50))\n",
    "\n",
    "# Clear the current figure to prevent overlapping legends\n",
    "plt.clf()\n",
    "\n",
    "# Plot data with peak positions\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(df['two_theta'], df['intensity'], s=3)\n",
    "ax.vlines(peak_centers_approx, ymin=0, ymax=np.max(df['intensity']), linestyles='dotted', color='k')\n",
    "ax.set_ylim(0,25000)\n",
    "#ax.set_xlim(70,75)\n",
    "plt.show()\n",
    "\n",
    "print(peak_centers_approx)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44c03d61",
   "metadata": {},
   "source": [
    "## Peak Base Function\n",
    "\n",
    "This block of code:\n",
    "1. Finds the lowest value points either side of each peak within a range \n",
    "2. Plot peaks function plots each minimum point on the intensity data as a red cross\n",
    "3. Using numpy interpolate function to extrapolate data points\n",
    "4. Plot and subtract the extrapolated data from the raw data \n",
    "5. Shows the resulting baseline corrected data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e6e1b8f9",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
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       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
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       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
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       "                    // Chrome 84 implements new version of spec.\n",
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       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>two_theta</th>\n",
       "      <th>intensity</th>\n",
       "      <th>baseline</th>\n",
       "      <th>base_sub_intensity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10.00</td>\n",
       "      <td>4625.0</td>\n",
       "      <td>4135.000000</td>\n",
       "      <td>490.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>10.01</td>\n",
       "      <td>4715.0</td>\n",
       "      <td>4133.352941</td>\n",
       "      <td>581.647059</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>10.02</td>\n",
       "      <td>4460.0</td>\n",
       "      <td>4131.705882</td>\n",
       "      <td>328.294118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>10.03</td>\n",
       "      <td>4520.0</td>\n",
       "      <td>4130.058824</td>\n",
       "      <td>389.941176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>10.04</td>\n",
       "      <td>4135.0</td>\n",
       "      <td>4128.411765</td>\n",
       "      <td>6.588235</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   two_theta  intensity     baseline  base_sub_intensity\n",
       "0      10.00     4625.0  4135.000000          490.000000\n",
       "1      10.01     4715.0  4133.352941          581.647059\n",
       "2      10.02     4460.0  4131.705882          328.294118\n",
       "3      10.03     4520.0  4130.058824          389.941176\n",
       "4      10.04     4135.0  4128.411765            6.588235"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Function to identify the base  level either side of the peak center position \n",
    "def find_peak_bases(x, y, peak_centers, window=10):\n",
    "    peak_bases = []\n",
    "    for center in peak_centers:\n",
    "        center_idx = np.argmin(np.abs(x - center))\n",
    "        left_idx = max(center_idx - window, 0)\n",
    "        right_idx = min(center_idx + window, len(x) - 1)\n",
    "        left_base = np.min(y[left_idx:center_idx])\n",
    "        right_base = np.min(y[center_idx:right_idx])\n",
    "        peak_bases.append((left_base, right_base))\n",
    "    return peak_bases\n",
    "\n",
    "# Number of points around the peak position to find the minimum\n",
    "window = 300\n",
    "peak_bases = find_peak_bases(df['two_theta'], df['intensity'], peak_centers_approx, window=window)\n",
    "\n",
    "# Clear the current figure to prevent overlapping legends\n",
    "plt.clf()\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(df['two_theta'], df['intensity'], s=3)\n",
    "ax.vlines(peak_centers_approx, ymin=0, ymax=np.max(df['intensity']), linestyles='dotted', color='k')\n",
    "ax.set_ylim(0,10000)\n",
    "for center, (left_base, right_base) in zip(peak_centers_approx, peak_bases):\n",
    "    ax.hlines([left_base, right_base], xmin=center-window, xmax=center+window, linestyles='dashed', color='k')\n",
    "plt.show()\n",
    "\n",
    "# Plot peaks function to plot the base level either side of the peaks as a red cross\n",
    "def plot_peaks(x, y, peak_centers, peak_bases, ymax=np.max(df['intensity']), num_interp=len(df['two_theta'])):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.scatter(x, y, s=3)\n",
    "    bases_unzip = []\n",
    "    base_coords = np.empty((0,2))\n",
    "    for center, bases in zip(peak_centers, peak_bases):\n",
    "        center_idx = np.argmin(np.abs(x - center))\n",
    "        left_base, right_base = bases\n",
    "        left_idx = max(center_idx - window, 0)\n",
    "        right_idx = min(center_idx + window, len(x) - 1)\n",
    "        ax.plot([center], [y[center_idx]], 'ko')\n",
    "        bases_unzip.extend([left_base, right_base])\n",
    "        base_coords = np.vstack((base_coords, [[x[left_idx], left_base], [x[right_idx], right_base]]))\n",
    "        \n",
    "    # Plot the base coordinates\n",
    "    for coord in base_coords:\n",
    "        ax.plot(coord[0], coord[1], 'rx', markersize=10)\n",
    "        \n",
    "    # Interpolate base coordinates\n",
    "    x_coords = base_coords[:, 0]\n",
    "    y_coords = base_coords[:, 1]\n",
    "    interp_fn = interp1d(x_coords, y_coords, kind='linear', bounds_error=False, fill_value=\"extrapolate\")\n",
    "    x_i = np.linspace(np.min(x_coords), np.max(x_coords), num_interp)\n",
    "    y_i = interp_fn(x_i)\n",
    "    df['baseline'] = y_i\n",
    "    \n",
    "    # Subtract the interpolated base values from the intensity data\n",
    "    y_sub = y - interp_fn(x)\n",
    "    df['base_sub_intensity'] = y_sub\n",
    "    \n",
    "    ax.plot(x_i, y_i, 'kx', markersize=1)    \n",
    "    ax.plot(x, y_sub, 'r-', linewidth=0.5)\n",
    "    ax.set_ylim(0, ymax)\n",
    "    plt.xlabel(\"2θ (degrees)\")\n",
    "    plt.ylabel(\"Intensity (counts)\")\n",
    "    plt.title(file_title)\n",
    "    plt.show()\n",
    "    return base_coords, y_sub\n",
    "    \n",
    "plot_peaks(df['two_theta'], df['intensity'], peak_centers_approx, peak_bases, 10000)\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31a35225",
   "metadata": {},
   "source": [
    "## Find True Peak Position\n",
    "\n",
    "This code finds the true peak postition using scipy find_peaks function calling two parameters:\n",
    "1. 'prominence': It specifies the minimum prominence of peaks. Higher values will result in only prominent peaks being detected, potentially reducing the detection of overlapping peaks.\n",
    "2. 'distance': It specifies the minimum horizontal distance between neighboring peaks. Smaller values will allow for closer peaks to be identified as separate peaks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a8a8844a",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10.33 17.46 17.48 22.15 27.22 32.33 36.27 40.45 45.23 48.73 53.66 56.41\n",
      " 61.08 66.02 72.69 76.82]\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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width=\"939\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "peak_centers = []\n",
    "def find_peak_centers(x, y, peak_centers_approx, window_size=20, prominence=100, distance=100):\n",
    "    peak_centers = []\n",
    "    for center in peak_centers_approx:\n",
    "        start_index = np.abs(x - center).argmin()\n",
    "        start_index = max(start_index - window_size, 0)\n",
    "        end_index = min(start_index + window_size*2, len(y))\n",
    "        \n",
    "        peaks, _ = find_peaks(y[start_index:end_index], prominence=prominence, distance=distance)\n",
    "        peak_indices = peaks + start_index\n",
    "        \n",
    "        peak_centers.extend(x[peak_indices])\n",
    "    \n",
    "    return np.array(peak_centers)\n",
    "\n",
    "# Line of code to append and remove any approximate peak positions\n",
    "peak_centers_approx = np.append(peak_centers_approx, [56.3])\n",
    "\n",
    "peak_centers = find_peak_centers(df['two_theta'], df['base_sub_intensity'], peak_centers_approx, window_size=20, prominence=100, distance=50)\n",
    "\n",
    "### Append peak centers manually ###\n",
    "peak_centers = np.append(peak_centers, [17.48])\n",
    "\n",
    "# Filter peak_centers based on base_sub_intensity > 1000\n",
    "mask = np.isin(df['two_theta'], peak_centers)\n",
    "peak_centers = np.extract(mask & (df['base_sub_intensity'] > 300), df['two_theta'])\n",
    "\n",
    "# Sort the peak_centers array in ascending order\n",
    "peak_centers = np.sort(peak_centers)\n",
    "\n",
    "# Remove duplicate values from the peak_centers array\n",
    "peak_centers = np.unique(peak_centers)\n",
    "print(peak_centers)\n",
    "\n",
    "# Clear the current figure to prevent overlapping legends\n",
    "plt.clf()\n",
    "\n",
    "# Create a figure and axes for the plot\n",
    "fig, ax = plt.subplots()\n",
    "plt.subplots_adjust(bottom=0.25)\n",
    "\n",
    "# Plot data with refined peak positions\n",
    "scatter = ax.scatter(df['two_theta'], df['base_sub_intensity'], s=2)\n",
    "vlines = ax.vlines(peak_centers, ymin=0, ymax=np.max(df['base_sub_intensity']), linestyles='dotted', color='k')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df52cdb3",
   "metadata": {},
   "source": [
    "## Gaussian & Lorentian Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0714e561",
   "metadata": {},
   "outputs": [],
   "source": [
    "####### Gaussian #######\n",
    "\n",
    "def _1gaussian(x_array, amp1, cen1, sigma1):\n",
    "    return amp1 * (1 / (sigma1 * (np.sqrt(2 * np.pi)))) * (np.exp((-1.0 / 2.0) * (((x_array - cen1) / sigma1) ** 2)))\n",
    "\n",
    "def _2gaussian(x_array, amp1,cen1,sigma1, amp2,cen2,sigma2):\n",
    "    return amp1*(1/(sigma1*(np.sqrt(2*np.pi))))*(np.exp((-1.0/2.0)*(((x_array-cen1)/sigma1)**2))) + \\\n",
    "            amp2*(1/(sigma2*(np.sqrt(2*np.pi))))*(np.exp((-1.0/2.0)*(((x_array-cen2)/sigma2)**2)))\n",
    "\n",
    "###### Lorentzian #########\n",
    "\n",
    "def _1Lorentzian(x, amp1, cen1, wid1, amp2,cen2,wid2, amp3,cen3,wid3):\n",
    "    return (amp1*wid1**2/((x-cen1)**2+wid1**2)) \n",
    "\n",
    "###### Voigt #######\n",
    "\n",
    "def _1Voigt(x, ampG1, cenG1, sigmaG1, ampL1, cenL1, widL1):\n",
    "    return (ampG1*(1/(sigmaG1*(np.sqrt(2*np.pi))))*(np.exp(-((x-cenG1)**2)/((2*sigmaG1)**2)))) +\\\n",
    "              ((ampL1*widL1**2/((x-cenL1)**2+widL1**2)) )\n",
    "\n",
    "\n",
    "def _2Voigt(x, ampG1, cenG1, sigmaG1, ampL1, cenL1, widL1, ampG2, cenG2, sigmaG2, ampL2, cenL2, widL2):\n",
    "    return (ampG1*(1/(sigmaG1*(np.sqrt(2*np.pi))))*(np.exp(-((x-cenG1)**2)/((2*sigmaG1)**2)))) +\\\n",
    "              ((ampL1*widL1**2/((x-cenL1)**2+widL1**2)) ) +\\\n",
    "            (ampG2*(1/(sigmaG2*(np.sqrt(2*np.pi))))*(np.exp(-((x-cenG2)**2)/((2*sigmaG2)**2)))) +\\\n",
    "              ((ampL2*widL2**2/((x-cenL2)**2+widL2**2)) )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b240108",
   "metadata": {},
   "source": [
    "## Voigt Dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b0d98fdd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a pandas DataFrame to store the Gaussian fit results\n",
    "fit_results_df = pd.DataFrame(columns=['Peak Index', 'Gaussian Amplitude', 'Gaussian Center', 'Gaussian Standard Deviation', 'Lorentzian Amplitude', 'Lorentzian Center', 'Lorentzian Width', 'R Squared', 'Chi Squared', 'Voigt Width'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "886f1415",
   "metadata": {},
   "source": [
    "## Individual Voigt Fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1687e11a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
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       "        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",
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       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
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       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
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       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
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       "        'style',\n",
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       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
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       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
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       "                    height = entry.contentBoxSize[0].blockSize;\n",
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       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
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       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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width=\"939\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Select the peak index to fit\n",
    "peak_index = 10 # Adjust this index according to the peak you want to fit\n",
    "\n",
    "# Define the data range for fitting\n",
    "fit_range = (53.6,53.76)\n",
    "# Find the indices corresponding to the fit range\n",
    "fit_indices = np.where((df['two_theta'] >= fit_range[0]) & (df['two_theta'] <= fit_range[1]))[0]\n",
    "\n",
    "# Extract the data within the fit range\n",
    "x_fit = df['two_theta'][fit_indices]\n",
    "y_fit = df['base_sub_intensity'][fit_indices]\n",
    "\n",
    "# Select the peak position for fitting\n",
    "x_peak = peak_centers[peak_index]\n",
    "\n",
    "# Define an appropriate x range around the peak\n",
    "x_range = np.linspace(x_peak - 1, x_peak + 1, 1000)\n",
    "\n",
    "# Fit the Gaussian function to the selected peak\n",
    "p0 = [np.argmax(np.abs(x_fit - x_peak)), x_peak, np.std(x_fit), np.argmax(np.abs(x_fit - x_peak)), x_peak, np.std(x_fit)]  # Initial guess for the Gaussian parameters\n",
    "popt, pcov = curve_fit(_1Voigt, x_fit, y_fit, p0=p0)\n",
    "\n",
    "# Generate the fitted curve using the optimized parameters\n",
    "y_curve_fit = _1Voigt(x_range, *popt)\n",
    "\n",
    "# Calculate the residuals\n",
    "residuals = y_fit - _1Voigt(x_fit, *popt)\n",
    "ssr = np.sum(residuals**2)  # Sum of squared residuals\n",
    "\n",
    "# Calculate total sum of squares\n",
    "y_mean = np.mean(y_fit)\n",
    "sst = np.sum((y_fit - y_mean)**2)\n",
    "\n",
    "# Calculate R-squared\n",
    "r_squared = 1 - (ssr / sst)\n",
    "\n",
    "# Calculate degrees of freedom\n",
    "n_data = len(y_fit)\n",
    "n_params = len(popt)\n",
    "dof = n_data - n_params\n",
    "\n",
    "# Calculate chi-squared\n",
    "chi_squared = np.sum((residuals / y_fit)**2)\n",
    "\n",
    "# Calculate the Voigt peak width\n",
    "sigmaG = popt[2]  # Gaussian standard deviation\n",
    "widL = popt[5]  # Lorentzian width\n",
    "voigt_width = 2 * sigmaG * np.sqrt(2 * np.log(2)) + 2 * widL * scipy.special.wofz(1j)\n",
    "\n",
    "# Clear the current figure to prevent overlapping legends\n",
    "plt.clf()\n",
    "\n",
    "# Plot the data and the fitted curve\n",
    "plt.scatter(df['two_theta'], df['base_sub_intensity'], s=2, c='k', label='Raw Data')\n",
    "plt.plot(x_range, y_curve_fit, color='r', label='Voigt Fit')\n",
    "plt.vlines(x_peak, ymin=0, ymax=np.max(df['base_sub_intensity']), linestyles='dotted', color='k', label='Selected Peak')\n",
    "\n",
    "#plt.ylim(0, np.max(y_fit)+10000)\n",
    "#plt.xlim(peak_centers[peak_index] - 0.5, peak_centers[peak_index] + 0.5)\n",
    "plt.legend()\n",
    "\n",
    "# Display the plot interactively\n",
    "display(plt.gcf())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4eb80998",
   "metadata": {},
   "source": [
    "## Add Fit results to dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a020bd12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Peak Index</th>\n",
       "      <th>Gaussian Amplitude</th>\n",
       "      <th>Gaussian Center</th>\n",
       "      <th>Gaussian Standard Deviation</th>\n",
       "      <th>Lorentzian Amplitude</th>\n",
       "      <th>Lorentzian Center</th>\n",
       "      <th>Lorentzian Width</th>\n",
       "      <th>R Squared</th>\n",
       "      <th>Chi Squared</th>\n",
       "      <th>Voigt Width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10.0</td>\n",
       "      <td>13.628692</td>\n",
       "      <td>53.74804</td>\n",
       "      <td>0.008849</td>\n",
       "      <td>4857.941682</td>\n",
       "      <td>53.669398</td>\n",
       "      <td>-0.094375</td>\n",
       "      <td>0.971445</td>\n",
       "      <td>0.011003</td>\n",
       "      <td>-0.059868</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Peak Index  Gaussian Amplitude  Gaussian Center  \\\n",
       "0        10.0           13.628692         53.74804   \n",
       "\n",
       "   Gaussian Standard Deviation  Lorentzian Amplitude  Lorentzian Center  \\\n",
       "0                     0.008849           4857.941682          53.669398   \n",
       "\n",
       "   Lorentzian Width  R Squared  Chi Squared  Voigt Width  \n",
       "0         -0.094375   0.971445     0.011003    -0.059868  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Append the fit results to the DataFrame\n",
    "fit_results_df = fit_results_df.append({'Peak Index': peak_index, 'Gaussian Amplitude': popt[0], 'Gaussian Center': popt[1], 'Gaussian Standard Deviation': popt[2], 'Lorentzian Amplitude': popt[3], 'Lorentzian Center':popt[4], 'Lorentzian Width':popt[5], 'R Squared':r_squared, 'Chi Squared':chi_squared, 'Voigt Width':voigt_width}, ignore_index=True)\n",
    "\n",
    "# Remove rows with duplicate peak index\n",
    "fit_results_df = fit_results_df.drop_duplicates(subset='Peak Index', keep='last')\n",
    "\n",
    "# Remove parentheses from values in the fit_results_df dataframe\n",
    "fit_results_df['Peak Index'] = fit_results_df['Peak Index'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Gaussian Amplitude'] = fit_results_df['Gaussian Amplitude'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Gaussian Center'] = fit_results_df['Gaussian Center'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Gaussian Standard Deviation'] = fit_results_df['Gaussian Standard Deviation'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Lorentzian Amplitude'] = fit_results_df['Lorentzian Amplitude'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Lorentzian Center'] = fit_results_df['Lorentzian Center'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Lorentzian Width'] = fit_results_df['Lorentzian Width'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['R Squared'] = fit_results_df['R Squared'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Chi Squared'] = fit_results_df['Chi Squared'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Voigt Width'] = fit_results_df['Voigt Width'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "\n",
    "# Remove imaginary part from values in the fit_results_df dataframe\n",
    "fit_results_df['Peak Index'] = fit_results_df['Peak Index'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Gaussian Amplitude'] = fit_results_df['Gaussian Amplitude'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Gaussian Center'] = fit_results_df['Gaussian Center'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Gaussian Standard Deviation'] = fit_results_df['Gaussian Standard Deviation'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Lorentzian Amplitude'] = fit_results_df['Lorentzian Amplitude'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Lorentzian Center'] = fit_results_df['Lorentzian Center'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Lorentzian Width'] = fit_results_df['Lorentzian Width'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['R Squared'] = fit_results_df['R Squared'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Chi Squared'] = fit_results_df['Chi Squared'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Voigt Width'] = fit_results_df['Voigt Width'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "\n",
    "# Display the fit results\n",
    "display(fit_results_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15f2a38e",
   "metadata": {},
   "source": [
    "## Save/Load Fit Results from a txt file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "9e79cccd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Figure save settings\n",
    "save_dir = os.path.join(folder_path, 'XRD Plots')\n",
    "if not os.path.exists(save_dir):\n",
    "    os.makedirs(save_dir)\n",
    "fit_results_df.to_csv(os.path.join(save_dir, file_title + ' fit parameters' + '.txt'), index=False, sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2fba248d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Peak Index</th>\n",
       "      <th>Gaussian Amplitude</th>\n",
       "      <th>Gaussian Center</th>\n",
       "      <th>Gaussian Standard Deviation</th>\n",
       "      <th>Lorentzian Amplitude</th>\n",
       "      <th>Lorentzian Center</th>\n",
       "      <th>Lorentzian Width</th>\n",
       "      <th>R Squared</th>\n",
       "      <th>Chi Squared</th>\n",
       "      <th>Voigt Width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>4.0</td>\n",
       "      <td>3695.220260</td>\n",
       "      <td>27.195038</td>\n",
       "      <td>0.016038</td>\n",
       "      <td>22715.909950</td>\n",
       "      <td>27.196354</td>\n",
       "      <td>0.106149</td>\n",
       "      <td>0.999206</td>\n",
       "      <td>188.176761</td>\n",
       "      <td>0.128542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.0</td>\n",
       "      <td>11105.032121</td>\n",
       "      <td>285.318662</td>\n",
       "      <td>1.571670</td>\n",
       "      <td>21756.236448</td>\n",
       "      <td>40.470437</td>\n",
       "      <td>-0.180210</td>\n",
       "      <td>0.997211</td>\n",
       "      <td>34.753216</td>\n",
       "      <td>3.546890</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>8.0</td>\n",
       "      <td>91.023425</td>\n",
       "      <td>45.182575</td>\n",
       "      <td>0.013508</td>\n",
       "      <td>10667.429042</td>\n",
       "      <td>45.208970</td>\n",
       "      <td>0.090655</td>\n",
       "      <td>0.998609</td>\n",
       "      <td>0.001284</td>\n",
       "      <td>0.109334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>10.0</td>\n",
       "      <td>542.760776</td>\n",
       "      <td>53.619130</td>\n",
       "      <td>0.058293</td>\n",
       "      <td>887.051946</td>\n",
       "      <td>53.625841</td>\n",
       "      <td>0.021878</td>\n",
       "      <td>0.973004</td>\n",
       "      <td>0.009012</td>\n",
       "      <td>0.155979</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Peak Index  Gaussian Amplitude  Gaussian Center  \\\n",
       "0         4.0         3695.220260        27.195038   \n",
       "1         7.0        11105.032121       285.318662   \n",
       "2         8.0           91.023425        45.182575   \n",
       "3        10.0          542.760776        53.619130   \n",
       "\n",
       "   Gaussian Standard Deviation  Lorentzian Amplitude  Lorentzian Center  \\\n",
       "0                     0.016038          22715.909950          27.196354   \n",
       "1                     1.571670          21756.236448          40.470437   \n",
       "2                     0.013508          10667.429042          45.208970   \n",
       "3                     0.058293            887.051946          53.625841   \n",
       "\n",
       "   Lorentzian Width  R Squared  Chi Squared  Voigt Width  \n",
       "0          0.106149   0.999206   188.176761     0.128542  \n",
       "1         -0.180210   0.997211    34.753216     3.546890  \n",
       "2          0.090655   0.998609     0.001284     0.109334  \n",
       "3          0.021878   0.973004     0.009012     0.155979  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "############ SKIP THIS CELL IF YOU WILL NOW DO FITTING ###########\n",
    "subfolder_plots = 'XRD Plots'\n",
    "folder_path_load = 'C:\\\\Users\\\\w16025698\\\\OneDrive - Northumbria University - Production Azure AD\\\\PhD\\\\Characterisation\\\\XRD\\\\230607_XRD'\n",
    "folder_path_plots = os.path.join(folder_path_load, subfolder_plots)\n",
    "\n",
    "fit_results_filename = '230221G_XRD fit parameters.txt'\n",
    "fit_results_df = pd.read_csv(os.path.join(folder_path_plots, fit_results_filename), sep='\\t', skiprows=1, header=None, names=['Peak Index', 'Gaussian Amplitude', 'Gaussian Center', 'Gaussian Standard Deviation', 'Lorentzian Amplitude', 'Lorentzian Center', 'Lorentzian Width', 'R Squared', 'Chi Squared', 'Voigt Width'])\n",
    "\n",
    "# Order the values\n",
    "fit_results_df = fit_results_df.sort_values('Peak Index')\n",
    "\n",
    "# Remove parentheses from values in the fit_results_df dataframe\n",
    "fit_results_df['Peak Index'] = fit_results_df['Peak Index'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Gaussian Amplitude'] = fit_results_df['Gaussian Amplitude'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Gaussian Center'] = fit_results_df['Gaussian Center'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Gaussian Standard Deviation'] = fit_results_df['Gaussian Standard Deviation'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Lorentzian Amplitude'] = fit_results_df['Lorentzian Amplitude'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Lorentzian Center'] = fit_results_df['Lorentzian Center'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Lorentzian Width'] = fit_results_df['Lorentzian Width'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['R Squared'] = fit_results_df['R Squared'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Chi Squared'] = fit_results_df['Chi Squared'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "fit_results_df['Voigt Width'] = fit_results_df['Voigt Width'].apply(lambda x: re.sub(r'\\(|\\)', '', str(x)))\n",
    "\n",
    "# Remove imaginary part from values in the fit_results_df dataframe\n",
    "fit_results_df['Peak Index'] = fit_results_df['Peak Index'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Gaussian Amplitude'] = fit_results_df['Gaussian Amplitude'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Gaussian Center'] = fit_results_df['Gaussian Center'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Gaussian Standard Deviation'] = fit_results_df['Gaussian Standard Deviation'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Lorentzian Amplitude'] = fit_results_df['Lorentzian Amplitude'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Lorentzian Center'] = fit_results_df['Lorentzian Center'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Lorentzian Width'] = fit_results_df['Lorentzian Width'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['R Squared'] = fit_results_df['R Squared'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Chi Squared'] = fit_results_df['Chi Squared'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "fit_results_df['Voigt Width'] = fit_results_df['Voigt Width'].apply(lambda x: complex(x.replace('(', '').replace(')', '')).real)\n",
    "\n",
    "# Display the fit results\n",
    "display(fit_results_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23c792d3",
   "metadata": {},
   "source": [
    "## Sum of Fitting Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b19e699c",
   "metadata": {},
   "outputs": [
    {
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       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"1000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load the XRD reference pattern from Excel\n",
    "#display(reference_df)\n",
    "\n",
    "# Define the x range for plotting\n",
    "x_range = np.linspace(df['two_theta'].min(), df['two_theta'].max(), 100000)\n",
    "\n",
    "# Initialize the sum of curves\n",
    "sum_curves = np.zeros_like(x_range)\n",
    "\n",
    "# Iterate over each row in the DataFrame\n",
    "for index, row in fit_results_df.iterrows():\n",
    "    G_amplitude = row['Gaussian Amplitude']\n",
    "    G_center = row['Gaussian Center']\n",
    "    G_sigma = row['Gaussian Standard Deviation']\n",
    "    L_amplitude = row['Lorentzian Amplitude']\n",
    "    L_center = row['Lorentzian Center']\n",
    "    L_width = row['Lorentzian Width']\n",
    "    \n",
    "    # Generate the Voigt curve for the current row\n",
    "    curve = _1Voigt(x_range, G_amplitude, G_center, G_sigma, L_amplitude, L_center, L_width)\n",
    "    \n",
    "    # Add the current curve to the sum of curves\n",
    "    sum_curves += curve\n",
    "\n",
    "# Clear the current figure to prevent overlapping legends\n",
    "plt.clf()\n",
    "\n",
    "# Create subplots with shared x-axis\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 5), gridspec_kw={'height_ratios': [6, 1]})\n",
    "\n",
    "# Plot the sum of curves on the first subplot\n",
    "ax1.plot(x_range, sum_curves, color='r', label='Sum of Voigt Curve Fitting')\n",
    "ax1.scatter(df['two_theta'], df['base_sub_intensity'], s=2, c='k', alpha=0.8, label='Large Batch CZTSSe ')\n",
    "ax1.set_ylabel(\"Intensity (counts)\")\n",
    "ax1.set_yticklabels([])  # Remove y-axis tick labels\n",
    "ax1.set_xlim(10,80)\n",
    "ax1.legend()\n",
    "\n",
    "# Plot the XRD reference pattern on the second subplot\n",
    "ax2.vlines(CZTSe_reference_df['Two Theta'], 0, CZTSe_reference_df['Intensity'], colors='b', label='CZTSe Reference Pattern')\n",
    "ax2.set_xlabel(\"2θ (degrees)\")\n",
    "ax2.set_yticks([])\n",
    "ax2.set_ylim(0,105)\n",
    "#ax2.set_ylabel(\"Intensity (counts)\")\n",
    "ax2.legend()\n",
    "\n",
    "# Adjust spacing between subplots and set the height of the reference subplot\n",
    "plt.subplots_adjust(hspace=0.1)\n",
    "plt.tight_layout(rect=[0, 0, 1, 0.9])\n",
    "figure_title = 'Small Batch XRD plot'\n",
    "\n",
    "plt.show()\n",
    "\n",
    "save_dir = os.path.join(folder_path, 'XRD Plots')\n",
    "if not os.path.exists(save_dir):\n",
    "    os.makedirs(save_dir)\n",
    "\n",
    "# Save the plot as an image file\n",
    "plt.savefig(os.path.join(save_dir, figure_title + '.png'), dpi=500)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e77db977",
   "metadata": {},
   "source": [
    "## Save entire Dataframe to Excel file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "527eca60",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\w16025698\\Anaconda3\\lib\\site-packages\\xlsxwriter\\workbook.py:338: UserWarning: Calling close() on already closed file.\n",
      "  warn(\"Calling close() on already closed file.\")\n"
     ]
    }
   ],
   "source": [
    "excel_file_title = '230310E_XRD.xlsx'\n",
    "\n",
    "excel_file_path = os.path.join(folder_path, excel_file_title)\n",
    "\n",
    "# Check if the Excel file already exists\n",
    "if os.path.isfile(excel_file_path):\n",
    "    # If the file exists, delete it\n",
    "    os.remove(excel_file_path)\n",
    "\n",
    "# Create a Pandas Excel writer\n",
    "writer = pd.ExcelWriter(excel_file_path, engine='xlsxwriter')\n",
    "\n",
    "# Write the DataFrames to separate sheets in the Excel file\n",
    "fit_results_df.to_excel(writer, sheet_name='Fit Results', index=False)\n",
    "df.to_excel(writer, sheet_name='Raw Data', index=False)\n",
    "\n",
    "# Save the Excel file\n",
    "writer.save()\n",
    "\n",
    "# Close the Excel file\n",
    "writer.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd7eb3b1",
   "metadata": {},
   "source": [
    "## Stacked Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "b4ac8057",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"986\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load additional Excel file for stacked plot\n",
    "additional_data = pd.read_excel(\"C:\\\\Users\\\\w16025698\\\\OneDrive - Northumbria University - Production Azure AD\\\\PhD\\\\Characterisation\\\\XRD\\\\230607_XRD\\\\230221G_XRD.xlsx\", sheet_name= 'Raw Data')\n",
    "\n",
    "# Clear the current figure to prevent overlapping legends\n",
    "plt.clf()\n",
    "\n",
    "# Create subplots with shared x-axis\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(7, 5), gridspec_kw={'height_ratios': [6, 1]})\n",
    "\n",
    "# x axis limits\n",
    "xmin = 20\n",
    "xmax = 60\n",
    "\n",
    "peaks = {27.2:'(112)', 45.2:'(220)', 53.6:'(312)'}\n",
    "\n",
    "for x, number in peaks.items():\n",
    "    closest_index = (df['two_theta'] - x).abs().idxmin()\n",
    "    closest_value = df['two_theta'][closest_index]\n",
    "    peak_offset = df['base_sub_intensity'][closest_index] \n",
    "    ax1.text(closest_value, peak_offset+20000, str(number), ha='center', va='bottom')\n",
    "    \n",
    "for x, number in peaks.items():\n",
    "    closest_index = (additional_data['two_theta'] - x).abs().idxmin()\n",
    "    closest_value = additional_data['two_theta'][closest_index]\n",
    "    peak_offset = additional_data['base_sub_intensity'][closest_index] \n",
    "    ax1.text(closest_value, peak_offset+140000, str(number), ha='center', va='bottom')\n",
    "\n",
    "# Plot the data from the 'Raw Data' sheet on the first subplot\n",
    "ax1.plot(additional_data['two_theta'], additional_data['base_sub_intensity']+130000, c='b', lw=1, label='500ml Volume Synthesis')\n",
    "ax1.plot(df['two_theta'], df['base_sub_intensity'], c='r',lw=1, label='100ml Volume Synthesis')\n",
    "ax1.set_yticklabels([])\n",
    "ax1.set_ylabel('Normalised Intensity')\n",
    "ax1.set_xlim(xmin, xmax)\n",
    "ax1.set_ylim(-10000, 280000)\n",
    "ax1.xaxis.set_minor_locator(ticker.MultipleLocator(1))\n",
    "ax1.xaxis.set_tick_params(which='both', labelbottom=True)\n",
    "ax1.legend()\n",
    "\n",
    "# Plot the XRD reference pattern on the second subplot\n",
    "ax2.vlines(CZTSe_reference_df['Two Theta'], 0, CZTSe_reference_df['Intensity'], colors='b', label='CZTSe Reference Pattern')\n",
    "#ax2.vlines(MoSe2_reference_df['Two Theta'], 0, MoSe2_reference_df['Intensity'], colors='orange', label='MoSe2 Reference Pattern')\n",
    "ax2.vlines(Mo_reference_df['Two Theta'], 0, Mo_reference_df['Intensity'], colors='orange', label='Mo Reference Pattern')\n",
    "ax2.set_xlabel(\"2θ (degrees)\")\n",
    "ax2.set_yticks([])\n",
    "ax2.set_ylim(0,105)\n",
    "#ax2.set_ylabel(\"Intensity (counts)\")\n",
    "ax2.legend(fontsize='x-small')\n",
    "ax2.set_xlim(xmin, xmax)\n",
    "\n",
    "# Adjust spacing between subplots and set the height of the reference subplot\n",
    "plt.subplots_adjust(hspace=0.1)\n",
    "plt.tight_layout(rect=[0, 0, 1, 0.9])\n",
    "figure_title = 'Small Large Comparison XRD plot 08.06.23'\n",
    "\n",
    "plt.show()\n",
    "\n",
    "save_dir = os.path.join(folder_path, 'XRD Plots')\n",
    "if not os.path.exists(save_dir):\n",
    "    os.makedirs(save_dir)\n",
    "\n",
    "# Save the plot as an image file\n",
    "plt.savefig(os.path.join(save_dir, figure_title + ' stacked.png'), dpi=500)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66024387",
   "metadata": {},
   "source": [
    "## Peak Ratio Calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fed36dc9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}