regridding/inspect.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T23:41:52.747482300Z",
     "start_time": "2023-07-22T23:41:51.696158500Z"
    }
   },
   "outputs": [],
   "source": [
    "%reload_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-28T16:26:05.569344400Z",
     "start_time": "2023-06-28T16:26:03.142130300Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import astropy.units as u\n",
    "import regridding._conservative_ramshaw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, dx = np.linspace(-5, 5, 11, retstep=True)\n",
    "y, dy = np.linspace(-5, 5, 11, retstep=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y = np.meshgrid(x, y, indexing=\"ij\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# a = 0 * x\n",
    "# a[40:60] = 10\n",
    "# a[:, 50:55] = 5\n",
    "a = np.cos(x * x) + np.cos(y * y)\n",
    "# a = x * y\n",
    "a = a - a.min()\n",
    "a = (a[1:, 1:] + a[1:, :~0] + a[:~0, 1:] + a[:~0, :~0]) / 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# a = np.zeros((x.shape[0] - 1, x.shape[1] - 1))\n",
    "# a[:, ::5] = 1\n",
    "# a[::5, :] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.046529218438707665"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "angle = 45 * u.deg\n",
    "x_rot = x * np.cos(angle) - y * np.sin(angle)\n",
    "y_rot = x * np.sin(angle) + y * np.cos(angle)\n",
    "x_rot, y_rot = 2 * x_rot.value, 2 * y_rot.value\n",
    "# x_rot = x\n",
    "# y_rot = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.0"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dx * dy * 2 * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "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",
       "\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",
       "        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": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"639.9999861283738\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1caeb6543d0>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(x, y, a)\n",
    "# plt.plot(x, y, color=\"black\")\n",
    "# plt.plot(x.T, y.T, color=\"black\")\n",
    "# plt.plot(x_rot, y_rot, color=\"red\")\n",
    "# plt.plot(x_rot.T, y_rot.T, color=\"red\")\n",
    "plt.gca().set_aspect(\"equal\")\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "index ()\n",
      "CPU times: total: 0 ns\n",
      "Wall time: 9.54 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "weights = regridding.calc_weights(\n",
    "    vertices_input=(x, y),\n",
    "    vertices_output=(x_rot, y_rot),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: total: 0 ns\n",
      "Wall time: 0 ns\n"
     ]
    }
   ],
   "source": [
    "%time\n",
    "a_rot = regridding.regrid_from_weights(\n",
    "    weights=weights,\n",
    "    values_input=a,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-17T02:08:55.529987100Z",
     "start_time": "2023-06-17T02:08:48.391038Z"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# %%time\n",
    "# a_rot = regridding.regrid(\n",
    "#     values_input=a,\n",
    "#     vertices_input=(x, y),\n",
    "#     vertices_output=(x_rot, y_rot),\n",
    "# )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-17T02:41:46.026643400Z",
     "start_time": "2023-06-17T02:41:45.249457400Z"
    },
    "scrolled": false
   },
   "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",
       "\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",
       "        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": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"639.9999861283738\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1caebb343d0>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(x_rot, y_rot, a_rot)\n",
    "# plt.plot(x, y, color=\"black\")\n",
    "# plt.plot(x.T, y.T, color=\"black\")\n",
    "# plt.plot(x_rot, y_rot, color=\"red\")\n",
    "# plt.plot(x_rot.T, y_rot.T, color=\"red\")\n",
    "plt.gca().set_aspect(\"equal\")\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "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",
       "\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",
       "        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": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"639.9999861283738\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1cb161f0850>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.imshow(a_rot.T, origin=\"lower\")\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "152.07071001380504"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "152.07071001380504"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_rot.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import regridding._conservative_ramshaw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "regridding._conservative_ramshaw._sweep_axis.parallel_diagnostics(level=1)"
   ]
  },
  {
   "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": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}