nacaprofile.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Vortex-source panel method\n",
    "\n",
    "Philipp Schlatter, 2024\n",
    "(adapted from Barba et al. Aeropython)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Discretization into panels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import necessary libraries and settings:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import math\n",
    "from scipy import integrate, linalg\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# For Colab use inline\n",
    "%matplotlib notebook\n",
    "#%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load wing profile (e.g. NACA0012 or NACA4412). In order for the mapping to the cosine distribution works, we linearly extend the number of data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('naca4412.dat', 'r') as infile:\n",
    "    x, y = np.loadtxt(infile, dtype=float, unpack=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# close the profile\n",
    "x, y = np.append(x, x[0]), np.append(y, y[0])\n",
    "# refine data set to avoid issues with the below matching algorithm\n",
    "f=10   # add f points between each existing point\n",
    "xx = yy= []\n",
    "nn = x.size\n",
    "for k in range(nn-1):\n",
    "    x1,y1 = x[k],y[k]\n",
    "    x2,y2 = x[k+1],y[k+1]\n",
    "    for j in range(f):\n",
    "        x3 = x1 + (j/f)*(x2-x1)\n",
    "        y3 = y1 + (j/f)*(y2-y1)\n",
    "        xx = np.append(xx,x3)\n",
    "        yy = np.append(yy,y3)\n",
    "xx, yy = np.append(xx, x[0]), np.append(yy, y[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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",
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       "    this.ws = websocket;\n",
       "\n",
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       "    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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       "    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",
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       "    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",
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       "    var fig = this;\n",
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       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
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       "};\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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       "    );\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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
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       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
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       "                } 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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
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       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
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       "        return false;\n",
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       "\n",
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       "        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",
       "    fig.canvas_div.style.cursor = msg['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",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot geometry\n",
    "plt.figure()\n",
    "plt.grid()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.plot(xx, yy, color='k', linestyle='-', linewidth=2, marker='.')\n",
    "plt.axis('equal')\n",
    "plt.xlim(-0.1, 1.1)\n",
    "plt.ylim(-0.1, 0.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use the following Panel class which stores relevant data for each panel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Panel:\n",
    "    # Data for each panel\n",
    "    def __init__(self, xa, ya, xb, yb):\n",
    "\n",
    "        self.xa, self.ya = xa, ya  # panel starting-point\n",
    "        self.xb, self.yb = xb, yb  # panel ending-point\n",
    "        \n",
    "        self.xc, self.yc = (xa + xb) / 2, (ya + yb) / 2  # panel center\n",
    "        self.length = np.sqrt((xb - xa)**2 + (yb - ya)**2)  # panel length\n",
    "        \n",
    "        # orientation of panel (angle between x-axis and panel's normal)\n",
    "        if xb - xa <= 0.0:\n",
    "            self.beta = np.arccos((yb - ya) / self.length)\n",
    "        elif xb - xa > 0.0:\n",
    "            self.beta = np.pi + np.arccos(-(yb - ya) / self.length)\n",
    "        \n",
    "        # panel location\n",
    "        if self.beta <= np.pi:\n",
    "            self.loc = 'upper'  # upper surface\n",
    "        else:\n",
    "            self.loc = 'lower'  # lower surface\n",
    "        \n",
    "        self.sigma = 0.0  # source strength\n",
    "        self.vt = 0.0  # tangential velocity\n",
    "        self.cp = 0.0  # pressure coefficient"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's discretise into $N$ panels:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def define_panels(x, y, N):\n",
    "    \n",
    "    R = (x.max() - x.min()) / 2.0  # circle radius\n",
    "    x_center = (x.max() + x.min()) / 2.0  # x-coordinate of circle center\n",
    "    \n",
    "    theta = np.linspace(0.0, 2.0 * np.pi, N + 1)  # array of angles\n",
    "    x_circle = x_center + R * np.cos(theta)  # x-coordinates of circle\n",
    "    \n",
    "    x_ends = np.copy(x_circle)  # x-coordinate of panels end-points\n",
    "    y_ends = np.empty_like(x_ends)  # y-coordinate of panels end-points\n",
    "    \n",
    "    # extend coordinates to consider closed surface (already done above)\n",
    "    # x, y = numpy.append(x, x[0]), numpy.append(y, y[0])\n",
    "    \n",
    "    # compute y-coordinate of end-points by projection\n",
    "    I = 0\n",
    "    for i in range(N):\n",
    "\n",
    "        while I < len(x) - 1:\n",
    "            if (x[I] <= x_ends[i] <= x[I + 1]) or (x[I + 1] <= x_ends[i] <= x[I]):\n",
    "                break\n",
    "            else:\n",
    "                I += 1\n",
    "        a = (y[I + 1] - y[I]) / (x[I + 1] - x[I])\n",
    "        b = y[I + 1] - a * x[I + 1]\n",
    "        y_ends[i] = a * x_ends[i] + b\n",
    "\n",
    "    y_ends[N] = y_ends[0]\n",
    "    \n",
    "    # create panels\n",
    "    panels = np.empty(N, dtype=object)\n",
    "    for i in range(N):\n",
    "        panels[i] = Panel(x_ends[i], y_ends[i], x_ends[i + 1], y_ends[i + 1])\n",
    "    \n",
    "    return panels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# discretize geoemetry into panels\n",
    "# (note that you need good resolution around the leading edge)\n",
    "panels = define_panels(xx, yy, N=80)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.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",
       "    fig.canvas_div.style.cursor = msg['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",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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",
       "    // 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"
    }
   ],
   "source": [
    "# plot discretized geometry\n",
    "plt.figure()\n",
    "plt.grid()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.plot(x, y, color='k', linestyle='-', linewidth=2)\n",
    "plt.plot(np.append([panel.xa for panel in panels], panels[0].xa),\n",
    "            np.append([panel.ya for panel in panels], panels[0].ya),\n",
    "            linestyle='-', linewidth=1, marker='o', markersize=6, color='#CD2305')\n",
    "plt.axis('equal')\n",
    "plt.xlim(-0.1, 1.1)\n",
    "plt.ylim(-0.1, 0.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Free stream conditions\n",
    "\n",
    "Our free stream is used to define an angle of attack $\\alpha$ for the profile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Freestream:\n",
    "    def __init__(self, u_inf=1.0, alpha_deg=0.0):\n",
    "        self.u_inf = u_inf\n",
    "        self.alpha_deg = alpha_deg\n",
    "        self.alpha = np.radians(alpha_deg)  # convert angle to radians"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "freestream = Freestream(u_inf=1.0, alpha_deg=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Flow tangency boundary condition\n",
    "\n",
    "A constant vortex strength $\\gamma$ will be added to each panel, proportional to its length. Using superposition, the velocity potential in point $(x_{c_i},y_{c_i})$ becomes the sum of the free-stream potential, the contributions of all panels due to their sources and due to the vortices:\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\phi\\left(x_{c_i},y_{c_i}\\right) &= V_\\infty x_{c_i} \\cos \\alpha + V_\\infty y_{c_i} \\sin \\alpha \\\\\n",
    "&+ \\sum_{j=1}^N \\frac{\\sigma_j}{2\\pi} \\int_j \\ln \\left(\\sqrt{(x_{c_i}-x_j(s_j))^2+(y_{c_i}-y_j(s_j))^2} \\right) {\\rm d}s_j \\\\\n",
    "&- \\sum_{j=1}^N \\frac{\\gamma}{2\\pi} \\int_j \\tan^{-1} \\left(\\frac{y_{c_i}-y_j(s_j)}{x_{c_i}-x_j(s_j)}\\right) {\\rm d}s_j\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "The flow tangency boundary condition is applied at every panel center:\n",
    "\n",
    "$$0 = \\vec{V}\\cdot\\vec{n}_i = \\frac{\\partial}{\\partial n_i} \\left\\{ \\phi\\left(x_{c_i},y_{c_i}\\right) \\right\\}$$\n",
    "\n",
    "i.e.\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "0 &= V_\\infty \\cos \\left(\\alpha-\\beta_i\\right) + \\frac{\\sigma_i}{2} \\\\\n",
    "&+ \\sum_{j=1,j\\neq i}^N \\frac{\\sigma_j}{2\\pi} \\int_j \\frac{\\partial}{\\partial n_i} \\ln \\left(\\sqrt{(x_{c_i}-x_j(s_j))^2+(y_{c_i}-y_j(s_j))^2} \\right) {\\rm d}s_j \\\\\n",
    "&- \\sum_{j=1,j\\neq i}^N \\frac{\\gamma}{2\\pi} \\int_j \\frac{\\partial}{\\partial n_i} \\tan^{-1} \\left(\\frac{y_{c_i}-y_j(s_j)}{x_{c_i}-x_j(s_j)}\\right) {\\rm d}s_j\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "We can now work on the various terms:\n",
    "\n",
    "$$\\frac{\\partial}{\\partial n_i} \\ln \\left(\\sqrt{(x_{c_i}-x_j(s_j))^2+(y_{c_i}-y_j(s_j))^2} \\right) = \\frac{\\left(x_{c_i}-x_j\\right)\\frac{\\partial x_{c_i}}{\\partial n_i} + \\left(y_{c_i}-y_j\\right)\\frac{\\partial y_{c_i}}{\\partial n_i}}{\\left(x_{c_i}-x_j\\right)^2 + \\left(y_{c_i}-y_j\\right)^2}$$\n",
    "\n",
    "where $\\frac{\\partial x_{c_i}}{\\partial n_i} = \\cos \\beta_i$ and $\\frac{\\partial y_{c_i}}{\\partial n_i} = \\sin \\beta_i$ is the slope of each panel, and thus the coordinates along each panel are given as\n",
    "\n",
    "$$x_j(s_j) = x_{b_j} - s_j \\sin \\beta_j$$\n",
    "\n",
    "$$y_j(s_j) = y_{b_j} + s_j \\cos \\beta_j$$\n",
    "\n",
    "We now need to derive the last integral of the boundary equation:\n",
    "\n",
    "$$\\frac{\\partial}{\\partial n_i} \\tan^{-1} \\left(\\frac{y_{c_i}-y_j(s_j)}{x_{c_i}-x_j(s_j)}\\right)= \\frac{\\left(x_{c_i}-x_j\\right)\\frac{\\partial y_{c_i}}{\\partial n_i} - \\left(y_{c_i}-y_j\\right)\\frac{\\partial x_{c_i}}{\\partial n_i}}{\\left(x_{c_i}-x_j\\right)^2 + \\left(y_{c_i}-y_j\\right)^2}$$\n",
    "\n",
    "where $\\frac{\\partial x_{c_i}}{\\partial n_i} = \\cos \\beta_i$ and $\\frac{\\partial y_{c_i}}{\\partial n_i} = \\sin \\beta_i$ as above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Enforcing the Kutta condition\n",
    "\n",
    "To enforce the *Kutta-condition*, we assume that there is no pressure difference at the trailing edge, i.e. the velocity does not flow around the trailing edge. Thus, for the discretisation in panels we have, we state that the pressure coefficient on the first panel must be equal to that on the last panel:\n",
    "\n",
    "$$C_{p_1} = C_{p_{N}}$$\n",
    "\n",
    "Using the definition of the pressure coefficient $C_p = 1-\\left(\\frac{V}{U_\\infty}\\right)^2$, the Kutta-condition implies that the magnitude of the velocity at the first panel center must equal the magnitude of the last panel center:\n",
    "\n",
    "$$V_1^2 = V_N^2$$\n",
    "\n",
    "Since the flow tangency condition requires that $V_{n_1} = V_{n_N} = 0$, we end up with the following *Kutta-condition*:\n",
    "\n",
    "$$V_{t_1} = - V_{t_N}$$\n",
    "\n",
    "(the minus sign comes from the reference axis we chose for the normal and tangential vectors), i.e. that the flow in the horizontal direction in the two panels at the trailing edge are the same. This is an approximation, and means that we should only consider sharp trailing edges.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's derive the tangential velocity for every panel, since it will be useful to compute the pressure coefficient, as the tangential derivative of the velocity potential,\n",
    "\n",
    "$$V_{t_i} = \\frac{\\partial}{\\partial t_i} \\left(\\phi\\left(x_{c_i},y_{c_i}\\right)\\right)$$\n",
    "\n",
    "i.e.,\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "V_{t_i} &= V_\\infty \\sin \\left(\\alpha-\\beta_i\\right) \\\\\n",
    "&+ \\sum_{j=1,j\\neq i}^N \\frac{\\sigma_j}{2\\pi} \\int_j \\frac{\\partial}{\\partial t_i} \\ln \\left(\\sqrt{(x_{c_i}-x_j(s_j))^2+(y_{c_i}-y_j(s_j))^2} \\right) {\\rm d}s_j \\\\\n",
    "&- \\sum_{j=1,j\\neq i}^N \\frac{\\gamma}{2\\pi} \\int_j \\frac{\\partial}{\\partial t_i} \\tan^{-1} \\left(\\frac{y_{c_i}-y_j(s_j)}{x_{c_i}-x_j(s_j)}\\right) {\\rm d}s_j \\\\\n",
    "&-\\frac{\\gamma}{2}\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "\n",
    "which gives\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "V_{t_i} &= V_\\infty \\sin \\left(\\alpha-\\beta_i\\right) \\\\\n",
    "&+ \\sum_{j=1,j\\neq i}^N \\frac{\\sigma_j}{2\\pi} \\int_j \\frac{\\left(x_{c_i}-x_j\\right)\\frac{\\partial x_{c_i}}{\\partial t_i} + \\left(y_{c_i}-y_j\\right)\\frac{\\partial y_{c_i}}{\\partial t_i}}{\\left(x_{c_i}-x_j\\right)^2 + \\left(y_{c_i}-y_j\\right)^2} {\\rm d}s_j \\\\\n",
    "&- \\sum_{j=1,j\\neq i}^N \\frac{\\gamma}{2\\pi} \\int_j \\frac{\\left(x_{c_i}-x_j\\right)\\frac{\\partial y_{c_i}}{\\partial t_i} - \\left(y_{c_i}-y_j\\right)\\frac{\\partial x_{c_i}}{\\partial t_i}}{\\left(x_{c_i}-x_j\\right)^2 + \\left(y_{c_i}-y_j\\right)^2} {\\rm d}s_j \\\\\n",
    "&-\\frac{\\gamma}{2}\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "where $\\frac{\\partial x_{c_i}}{\\partial t_i} = -\\sin \\beta_i$ and $\\frac{\\partial y_{c_i}}{\\partial t_i} = \\cos \\beta_i$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building the linear system\n",
    "\n",
    "Here, we build and solve the linear system of equations of the form\n",
    "\n",
    "$$[A][\\sigma,\\gamma] = [b]$$\n",
    "\n",
    "where the $N+1 \\times N+1$ matrix $[A]$ contains three blocks: an $N \\times N$ source matrix (the same one of Lesson 10), an $N \\times 1$ vortex array to store the weight of the variable $\\gamma$ at each panel, and a $1 \\times N+1$ Kutta array that repesents our Kutta-condition.\n",
    "\n",
    "We are going to define a function `integral` to evaluate the different integrals with the SciPy function `integrate.quad`, which is using a quadrature rule:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "def integral(x, y, panel, dxdk, dydk):\n",
    "    # evaluate the influence of sources/vortices of a panel in a points (x,y)\n",
    "    def integrand(s):\n",
    "        return (((x - (panel.xa - np.sin(panel.beta) * s)) * dxdk +\n",
    "                 (y - (panel.ya + np.cos(panel.beta) * s)) * dydk) /\n",
    "                ((x - (panel.xa - np.sin(panel.beta) * s))**2 +\n",
    "                 (y - (panel.ya + np.cos(panel.beta) * s))**2) )\n",
    "    return integrate.quad(integrand, 0.0, panel.length)[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first define the function `source_contribution_normal` to build the source matrix, i.e. the weight from each source on the normal velocity of each panel:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def source_contribution_normal(panels):\n",
    "    # Builds the source contribution matrix for the normal velocity.\n",
    "\n",
    "    A = np.empty((panels.size, panels.size), dtype=float)\n",
    "    # source contribution on a panel from itself\n",
    "    np.fill_diagonal(A, 0.5)\n",
    "    # source contribution on a panel from others\n",
    "    for i, panel_i in enumerate(panels):\n",
    "        for j, panel_j in enumerate(panels):\n",
    "            if i != j:\n",
    "                A[i, j] = 0.5 / np.pi * integral(panel_i.xc, panel_i.yc, \n",
    "                                                 panel_j,\n",
    "                                                 np.cos(panel_i.beta),\n",
    "                                                 np.sin(panel_i.beta))\n",
    "    return A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we define `vortex_contribution_normal` to build the vortex matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "def vortex_contribution_normal(panels):\n",
    "    # Builds the vortex contribution matrix for the normal velocity.\n",
    "\n",
    "    A = np.empty((panels.size, panels.size), dtype=float)\n",
    "    # vortex contribution on a panel from itself\n",
    "    np.fill_diagonal(A, 0.0)\n",
    "    # vortex contribution on a panel from others\n",
    "    for i, panel_i in enumerate(panels):\n",
    "        for j, panel_j in enumerate(panels):\n",
    "            if i != j:\n",
    "                A[i, j] = -0.5 / np.pi * integral(panel_i.xc, panel_i.yc, \n",
    "                                                     panel_j,\n",
    "                                                     np.sin(panel_i.beta),\n",
    "                                                     -np.cos(panel_i.beta))\n",
    "    return A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's call both of these functions to create the source matrix `A_source` and the vortex matrix `B_vortex`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "A_source = source_contribution_normal(panels)\n",
    "B_vortex = vortex_contribution_normal(panels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we need to get the last row for our system of equations corresponding to the Kutta condition. As one can infer from the above derivation, the contributions of the vortices and sources on the normal and tangential velocity are exactly opposite. \n",
    "Thus, the Kutta condition can be cast in the following form\n",
    "\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "(A^t_{11}+A^t_{N1}) \\\\\n",
    "\\vdots \\\\ \n",
    "(A^t_{1N}+A^t_{NN}) \\\\\n",
    "\\left( \\sum_{j=1}^N (B^t_{1j}+B^t_{Nj}) \\right)\n",
    "\\end{bmatrix}^T\n",
    "\\begin{bmatrix}\n",
    "\\sigma_1 \\\\\n",
    "\\vdots \\\\\n",
    "\\sigma_N \\\\\n",
    "\\gamma\n",
    "\\end{bmatrix} = -(b^t_1+b^t_N)\n",
    "$$\n",
    "\n",
    "Let's define a function `kutta_condition` that does the job:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def kutta_condition(A_source, B_vortex):\n",
    "\n",
    "    b = np.empty(A_source.shape[0] + 1, dtype=float)\n",
    "    # matrix of source contribution on tangential velocity\n",
    "    # is the same than\n",
    "    # matrix of vortex contribution on normal velocity\n",
    "    b[:-1] = B_vortex[0, :] + B_vortex[-1, :]\n",
    "    # matrix of vortex contribution on tangential velocity\n",
    "    # is the opposite of\n",
    "    # matrix of source contribution on normal velocity\n",
    "    b[-1] = - np.sum(A_source[0, :] + A_source[-1, :])\n",
    "    return b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now have all the ingredients we need.  The function `build_singularity_matrix` will gather together the source matrix, the vortex array, and the Kutta array to build the matrix needed to solve the linear system. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_singularity_matrix(A_source, B_vortex):\n",
    "\n",
    "    A = np.empty((A_source.shape[0] + 1, A_source.shape[1] + 1), dtype=float)\n",
    "    # source contribution matrix\n",
    "    A[:-1, :-1] = A_source\n",
    "    # vortex contribution array\n",
    "    A[:-1, -1] = np.sum(B_vortex, axis=1)\n",
    "    # Kutta condition array\n",
    "    A[-1, :] = kutta_condition(A_source, B_vortex)\n",
    "    return A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the right-hand side, we store everything that does not depend on the unknown strengths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_freestream_rhs(panels, freestream):\n",
    "\n",
    "    b = np.empty(panels.size + 1, dtype=float)\n",
    "    # freestream contribution on each panel\n",
    "    for i, panel in enumerate(panels):\n",
    "        b[i] = -freestream.u_inf * np.cos(freestream.alpha - panel.beta)\n",
    "    # freestream contribution on the Kutta condition\n",
    "    b[-1] = -freestream.u_inf * (np.sin(freestream.alpha - panels[0].beta) +\n",
    "                                 np.sin(freestream.alpha - panels[-1].beta) )\n",
    "    return b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = build_singularity_matrix(A_source, B_vortex)\n",
    "b = build_freestream_rhs(panels, freestream)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we solve the linear system using the Scipy function `linalg.solve`. Then we store the results in the attribute `sigma` of each `Panel` object. We also create a variable `gamma` to store the value of the constant vortex strength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "# solve for singularity strengths\n",
    "strengths = np.linalg.solve(A, b)\n",
    "\n",
    "# store source strength on each panel\n",
    "for i , panel in enumerate(panels):\n",
    "    panel.sigma = strengths[i]\n",
    "    \n",
    "# store circulation density\n",
    "gamma = strengths[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Surface pressure coefficient\n",
    "\n",
    "The pressure coefficient at the $i$-th panel center is (on the wing's surface)\n",
    "\n",
    "$$C_{p_i} = 1 - \\left(\\frac{V_{t_i}}{U_\\infty}\\right)^2$$\n",
    "\n",
    "So, we have to compute the tangential velocity at each panel center using the function `compute_tangential_velocity`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_tangential_velocity(panels, freestream, gamma, A_source, B_vortex):\n",
    "\n",
    "    A = np.empty((panels.size, panels.size + 1), dtype=float)\n",
    "    # matrix of source contribution on tangential velocity\n",
    "    # is the same than\n",
    "    # matrix of vortex contribution on normal velocity\n",
    "    A[:, :-1] = B_vortex\n",
    "    # matrix of vortex contribution on tangential velocity\n",
    "    # is the opposite of\n",
    "    # matrix of source contribution on normal velocity\n",
    "    A[:, -1] = -np.sum(A_source, axis=1)\n",
    "    # freestream contribution\n",
    "    b = freestream.u_inf * np.sin([freestream.alpha - panel.beta \n",
    "                                      for panel in panels])\n",
    "    \n",
    "    strengths = np.append([panel.sigma for panel in panels], gamma)\n",
    "    \n",
    "    tangential_velocities = np.dot(A, strengths) + b\n",
    "    \n",
    "    for i, panel in enumerate(panels):\n",
    "        panel.vt = tangential_velocities[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "# tangential velocity at each panel center.\n",
    "compute_tangential_velocity(panels, freestream, gamma, A_source, B_vortex)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we define a function `compute_pressure_coefficient` to compute the surface pressure coefficient:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_pressure_coefficient(panels, freestream):\n",
    "    for panel in panels:\n",
    "        panel.cp = 1.0 - (panel.vt / freestream.u_inf)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "# surface pressure coefficient\n",
    "compute_pressure_coefficient(panels, freestream)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting of the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.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",
       "    fig.canvas_div.style.cursor = msg['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",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot surface pressure coefficient\n",
    "plt.figure()\n",
    "plt.grid()\n",
    "plt.xlabel('$x$')\n",
    "plt.ylabel('$1-C_p$')\n",
    "plt.plot([panel.xc for panel in panels if panel.loc == 'upper'],\n",
    "            [1-panel.cp for panel in panels if panel.loc == 'upper'],\n",
    "            label='upper surface',\n",
    "            color='r', linestyle='-', linewidth=2, marker='o', markersize=6)\n",
    "plt.plot([panel.xc for panel in panels if panel.loc == 'lower'],\n",
    "            [1-panel.cp for panel in panels if panel.loc == 'lower'],\n",
    "            label= 'lower surface',\n",
    "            color='b', linestyle='-', linewidth=1, marker='o', markersize=6)\n",
    "plt.legend(loc='best')\n",
    "plt.xlim(-0.1, 1.1)\n",
    "plt.ylim(-1.0, 10.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.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",
       "    fig.canvas_div.style.cursor = msg['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",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot surface pressure coefficient\n",
    "plt.figure()\n",
    "plt.grid()\n",
    "plt.xlabel('$x$')\n",
    "plt.ylabel('$C_p$')\n",
    "plt.plot([panel.xc for panel in panels if panel.loc == 'upper'],\n",
    "            [panel.cp for panel in panels if panel.loc == 'upper'],\n",
    "            label='upper surface',\n",
    "            color='r', linestyle='-', linewidth=2, marker='o', markersize=6)\n",
    "plt.plot([panel.xc for panel in panels if panel.loc == 'lower'],\n",
    "            [panel.cp for panel in panels if panel.loc == 'lower'],\n",
    "            label= 'lower surface',\n",
    "            color='b', linestyle='-', linewidth=1, marker='o', markersize=6)\n",
    "plt.legend(loc='best')\n",
    "plt.xlim(-0.1, 1.1)\n",
    "plt.ylim(1, -5.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy check\n",
    "\n",
    "For a closed body, the sum of all the source strengths must be zero. If not, it means the body would be adding or absorbing mass from the flow! Therefore, we should have\n",
    "\n",
    "$$\\sum_{i=1}^{N} \\sigma_i l_i = 0$$\n",
    "\n",
    "where $l_i$ is the length of the $i^{\\text{th}}$ panel.\n",
    "\n",
    "With this, we can get a measure of the accuracy of the source panel method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sum of singularity strengths: 0.003879\n"
     ]
    }
   ],
   "source": [
    "# calculate the accuracy\n",
    "accuracy = sum([panel.sigma * panel.length for panel in panels])\n",
    "print('sum of singularity strengths: {:0.6f}'.format(accuracy))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lift coefficient\n",
    "\n",
    "The lift  is given by the Kutta-Joukowski theorem, $L = \\rho \\Gamma U_\\infty$, \n",
    "where $\\rho$ is the fluid density. The total circulation $\\Gamma$ is given by:\n",
    "\n",
    "$$\\Gamma = \\sum_{i=1}^N \\gamma l_i=\\gamma \\sum_{i=1}^N l_i$$\n",
    "\n",
    "Finally, the lift coefficient is given by:\n",
    "\n",
    "$$c_l = \\frac{\\sum_{i=1}^N \\gamma l_i}{\\frac{1}{2}U_\\infty c}= \\frac{\\Gamma}{\\frac{1}{2}U_\\infty c}$$\n",
    "\n",
    "with $c$ the chord-length of the airfoil."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "lift coefficient: CL = 0.421\n",
      "    chord length: c  = 1.000\n",
      "     theoretical: CL = 0.38382\n"
     ]
    }
   ],
   "source": [
    "# compute the chord and lift coefficient\n",
    "c = abs(max(panel.xa for panel in panels) -\n",
    "        min(panel.xa for panel in panels))\n",
    "cl = (gamma * sum(panel.length for panel in panels) /\n",
    "      (0.5 * freestream.u_inf * c))\n",
    "alpha0 = -3.5*np.pi/180\n",
    "print('lift coefficient: CL = {:0.3f}'.format(cl))\n",
    "print('    chord length: c  = {:0.3f}'.format(c))\n",
    "print('     theoretical: CL = {:0.5f}'.format(2*np.pi*(freestream.alpha-alpha0 )))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To be done: Integration of the pressure forces using surface integration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Computation of the velocity fields"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_velocity_field(panels, freestream, X, Y):\n",
    "\n",
    "    # freestream contribution\n",
    "    u = freestream.u_inf * np.cos(freestream.alpha) * np.ones_like(X, dtype=float)\n",
    "    v = freestream.u_inf * np.sin(freestream.alpha) * np.ones_like(X, dtype=float)\n",
    "\n",
    "    # add the contribution from each source (superposition powers!!!)\n",
    "    vec_intregral = np.vectorize(integral)\n",
    "    for panel in panels:\n",
    "        u += panel.sigma / (2.0 * np.pi) * vec_intregral(X, Y, panel, 1.0, 0.0)\n",
    "        v += panel.sigma / (2.0 * np.pi) * vec_intregral(X, Y, panel, 0.0, 1.0)\n",
    "\n",
    "    # add the contribution of the vortex\n",
    "    vec_intregral = np.vectorize(integral)\n",
    "    for panel in panels:\n",
    "        u += gamma / (2.0 * np.pi) * vec_intregral(X, Y, panel, 0.0, 1.0)\n",
    "        v += gamma / (2.0 * np.pi) * vec_intregral(X, Y, panel, -1.0, 0.0)\n",
    "    \n",
    "    return u, v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define a Cartesian grid\n",
    "nx, ny = 50, 50  # number of points in the x and y directions-\n",
    "x_start, x_end = -1.0, 2.0\n",
    "y_start, y_end = -0.5, 0.5\n",
    "X, Y = np.meshgrid(np.linspace(x_start, x_end, nx),\n",
    "                      np.linspace(y_start, y_end, ny))\n",
    "\n",
    "# compute the velocity field on the mesh grid\n",
    "u, v = get_velocity_field(panels, freestream, X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
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       "};\n",
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       "\n",
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       "    toolbar.classList = 'mpl-toolbar';\n",
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       "\n",
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       "            buttonGroup = document.createElement('div');\n",
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       "        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",
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       "    this.message = status_bar;\n",
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       "\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",
       "    fig.canvas_div.style.cursor = msg['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",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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",
       "    // 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>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the velocity field\n",
    "plt.figure()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.streamplot(X, Y, u, v, density=1.5, linewidth=1, arrowsize=1, arrowstyle='->')\n",
    "plt.fill([panel.xc for panel in panels],\n",
    "            [panel.yc for panel in panels],\n",
    "            color='k', linestyle='solid', linewidth=2, zorder=2)\n",
    "plt.axis('equal')\n",
    "plt.xlim(x_start, x_end)\n",
    "plt.ylim(y_start, y_end)\n",
    "plt.title('Streamlines around an airfoil (AoA = ${}^o$)'.format(freestream.alpha*180/np.pi));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.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",
       "    fig.canvas_div.style.cursor = msg['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",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute the pressure field\n",
    "cp = 1.0 - (u**2 + v**2) / freestream.u_inf**2\n",
    "\n",
    "# plot the pressure field\n",
    "plt.figure()\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "contf = plt.contourf(X, Y, 1-cp,\n",
    "                        levels=np.linspace(0, 3, 100), extend='both')\n",
    "cbar = plt.colorbar()\n",
    "cbar.set_label('$1-C_p$')\n",
    "#plt.contour(X,Y,1-cp,[2],colors='r')\n",
    "#plt.contour(X,Y,1-cp,[0.5],colors='r')\n",
    "plt.fill([panel.xc for panel in panels],\n",
    "            [panel.yc for panel in panels],\n",
    "            color='k', linestyle='solid', linewidth=2, zorder=2)\n",
    "plt.axis('equal')\n",
    "plt.xlim(x_start, x_end)\n",
    "plt.ylim(y_start, y_end)\n",
    "plt.title('pressure');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}