Stochastic gradient descent.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "05bc594f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_regression\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f518bc30",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "99a624a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "X,y = make_regression(n_samples=100, n_features=1, n_informative=1, n_targets=1,noise=20,random_state=13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4b7bc8a4",
   "metadata": {},
   "outputs": [
    {
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       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x29323163550>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.scatter(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c4ad45f1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[27.82809103]\n",
      "-2.29474455867698\n"
     ]
    }
   ],
   "source": [
    "lr = LinearRegression()\n",
    "lr.fit(X,y)\n",
    "print(lr.coef_)\n",
    "print(lr.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a0c43ae3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time taken 0.02399134635925293\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "\n",
    "b = 150\n",
    "m = -127.82\n",
    "all_b = []\n",
    "all_m = []\n",
    "all_cost = []\n",
    "all_lr = []\n",
    "\n",
    "\n",
    "epochs = 1\n",
    "\n",
    "start = time.time()\n",
    "\n",
    "t0,t1 = 5,50\n",
    "def learning_rate(t):\n",
    "    return t0/(t + t1)\n",
    "\n",
    "for i in range(epochs):\n",
    "    for j in range(X.shape[0]):\n",
    "        \n",
    "        lr = learning_rate(i * X.shape[0] + j)\n",
    "        \n",
    "        idx = np.random.randint(X.shape[0], size=1)\n",
    "        \n",
    "        slope_b = -2 * (y[idx] - (m * X[idx]) -  b)\n",
    "        slope_m = -2 * (y[idx] - (m * X[idx]) -  b) * X[idx]\n",
    "        cost = (y[idx] - m * X[idx] -b) ** 2\n",
    "        \n",
    "        \n",
    "        b = b - (lr * slope_b)\n",
    "        m = m - (lr * slope_m)\n",
    "        all_b.append(b)\n",
    "        all_m.append(m)\n",
    "        all_cost.append(cost)\n",
    "        all_lr.append(lr)\n",
    "print(\"Total time taken\",time.time() - start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b470c34f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(all_cost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f413edad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "#fig.set_tight_layout(True)\n",
    "\n",
    "x_i = np.arange(-3, 3, 0.1)\n",
    "y_i = x_i*(-27) -150\n",
    "ax.scatter(X, y)\n",
    "line, = ax.plot(x_i, x_i*50 - 4, 'r-', linewidth=2)\n",
    "\n",
    "def update(i):\n",
    "    label = 'epoch {0}'.format(i + 1)\n",
    "    line.set_ydata(x_i*all_m[i] + all_b[i])\n",
    "    ax.set_xlabel(label)\n",
    "    # return line, ax\n",
    "\n",
    "anim = FuncAnimation(fig, update, frames=100, interval=5)\n",
    "\n",
    "f = r\"stochastic_animation_line_plot.gif\" \n",
    "writergif = animation.PillowWriter(fps=2) \n",
    "anim.save(f, writer=writergif)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "dab0fa12",
   "metadata": {},
   "outputs": [],
   "source": [
    "m_arr = np.linspace(-150, 150, 10)\n",
    "b_arr = np.linspace(-150, 150, 10)\n",
    "mGrid, bGrid = np.meshgrid(m_arr,b_arr)\n",
    "\n",
    "final = np.vstack((mGrid.ravel().reshape(1,100),bGrid.ravel().reshape(1,100))).T\n",
    "\n",
    "z_arr = []\n",
    "\n",
    "for i in range(final.shape[0]):\n",
    "    z_arr.append(np.sum((y - final[i,0]*X.reshape(100) - final[i,1])**2))\n",
    "\n",
    "z_arr = np.array(z_arr).reshape(10,10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1477a7e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "\n",
    "# intercept graph\n",
    "num_epochs = list(range(0,30))\n",
    "fig = plt.figure(figsize=(9,5)) \n",
    "axis = plt.axes(xlim =(-150, 150), ylim =(-150, 150)) \n",
    "\n",
    "axis.contourf(m_arr, b_arr, z_arr)\n",
    "\n",
    "line, = axis.plot([], [], lw = 2,color='white') \n",
    "  \n",
    "xdata, ydata = [], [] \n",
    "  \n",
    "# animation function \n",
    "def animate(i): \n",
    "    label = 'epoch {0}'.format(i + 1)\n",
    "    xdata.append(all_m[i]) \n",
    "    ydata.append(all_b[i]) \n",
    "    line.set_data(xdata, ydata) \n",
    "    axis.set_xlabel(label)\n",
    "      \n",
    "    return line, \n",
    "  \n",
    "# calling the animation function     \n",
    "anim = animation.FuncAnimation(fig, animate, frames = 100,repeat=False, interval = 100)\n",
    "\n",
    "#f = r\"stochastic_animation_contour_plot.gif\" \n",
    "#writergif = animation.PillowWriter(fps=2) \n",
    "#anim.save(f, writer=writergif)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4fc1ac64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2.0345974]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_b[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bfe8b739",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[26.35458478]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_m[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "25c6e894",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_epochs = list(range(0,100))\n",
    "fig = plt.figure(figsize=(9,5)) \n",
    "axis = plt.axes(xlim =(0, 31), ylim =(0, 175000)) \n",
    "  \n",
    "line, = axis.plot([], [], lw = 2) \n",
    "  \n",
    "xdata, ydata = [], [] \n",
    "  \n",
    "# animation function \n",
    "def animate(i): \n",
    "    label = 'epoch {0}'.format(i + 1)\n",
    "    xdata.append(num_epochs[i]) \n",
    "    ydata.append(all_cost[i]) \n",
    "    line.set_data(xdata, ydata) \n",
    "    axis.set_xlabel(label)\n",
    "      \n",
    "    return line, \n",
    "  \n",
    "# calling the animation function     \n",
    "anim = animation.FuncAnimation(fig, animate, frames = 100,repeat=False, interval = 150)\n",
    "\n",
    "f = r\"stochastic_animation_cost_plot.gif\" \n",
    "writergif = animation.PillowWriter(fps=2) \n",
    "anim.save(f, writer=writergif)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "625c8713",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"955\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"1800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "fig,ax=plt.subplots(1,1)\n",
    "plt.figure(figsize=(18,4))\n",
    "cp = ax.contourf(m_arr, b_arr, z_arr)\n",
    "ax.plot(np.array(all_m).ravel(),np.array(all_b).ravel(),color='white')\n",
    "fig.colorbar(cp) # Add a colorbar to a plot\n",
    "ax.set_title('Filled Contours Plot')\n",
    "ax.set_xlabel('m')\n",
    "ax.set_ylabel('b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e0e57e99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_lr[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a390c3f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.03355704697986577"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_lr[-1]"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
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