sebjai/Liquidation_Permanent_Price_Impact.ipynb

## Liquidation_Permanent_Price_Impact.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Liquidation with Permanent Price Impact(Chap 6.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introduction\n",
    "\n",
    "This notebook explores  optimal execution strategies in the simpliest setting. The theory is covered in Chap 6.5 of\n",
    "\n",
    "Algorithmic and High-Frequency Trading (c) Cartea, Jaimungal, & Penalva, 2015 Cambridge University Press\n",
    "\n",
    "https://www.amazon.co.uk/Algorithmic-High-Frequency-Trading-Mathematics-Finance/dp/1107091144/ref=cm_cr_arp_d_product_top?ie=UTF8\n",
    "\n",
    "The agent controls their speed of trading $\\nu$, and assumes that she receives an execution price of\n",
    "$$\n",
    "S_t^{\\nu} - k\\, Q_t^{\\nu}\n",
    "$$\n",
    "which is linear in her trading rate to account for the cost of walking the limit order book. Furthermore, her trading induces a drift in the asset price, which is otherwise assmed to be a Brownian motion. Hence, $S^{\\nu}_t$ satisfies the SDE\n",
    "$$\n",
    "dS_t^\\nu = a \\,\\nu_t\\,dt + \\sigma \\, dW_t\n",
    "$$\n",
    "She aims to maximize the  performance criterion \n",
    "$$\n",
    "\\mathbb{E}\\Big[ X_T^{\\nu} + Q_T^{\\nu}(S_T^{\\nu} - \\alpha Q_T^{\\nu}) - \\phi \\int_0^T (Q_u^{\\nu})^2\\, du\\Big]\n",
    "$$\n",
    "where $X_T^\\nu$ is the total cash from trading, and the term $\\alpha\\,(Q_T^\\nu)^2$ represents a penalty on holding terminal inventory (which we will send to infinity to guarantee liquidation)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solving DPE\n",
    "\n",
    "As shown in the chapter, the dynamic programming principle implies that the value function satisfies the $\\textbf{HJB}$ equation\n",
    "\\begin{equation}\n",
    "0 = (\\partial_t + \\tfrac{1}{2}\\sigma^2\\partial_{SS})H - \\phi q^2 + \\sup_{\\nu}\\{(\\nu(S - f(\\nu))\\partial_x - g(\\nu) \\partial_S - \\nu \\partial_q)H\\}\n",
    "\\end{equation}\n",
    "\n",
    "subject to the terminal condition $H(T,x,S,q) = x + Sq - \\alpha q^2$.\n",
    "\n",
    "For the case of linear impact functions $f(\\nu)=k\\,\\nu$ and $g(\\nu)=b\\,\\nu$, the  $\\textbf{DPE}$ can be solved explicitly and the optimal speed to trade is\n",
    "\\begin{equation}\n",
    "\\nu_t^* = \\gamma \\frac{\\zeta e^{\\gamma(T-t)} + e^{-\\gamma(T-t)}}{\\zeta e^{\\gamma(T-t)} - e^{-\\gamma(T-t)}}\\, Q_t^{{\\nu}^*}\n",
    "\\end{equation}\n",
    "\n",
    "From this equation, it is also possible to obtain the agent's inventory $Q_t^{\\nu^*}$ that results from following this strategy.\n",
    "\n",
    "\\begin{equation}\n",
    "Q_t^{\\nu^*} = \\frac{\\zeta e^{\\gamma(T-t)} + e^{-\\gamma(T-t)}}{\\zeta e^{\\gamma(T-t)} - e^{-\\gamma(T-t)}} \\,Q_0.\n",
    "\\end{equation}\n",
    "\n",
    "The details of the derivations can be found from Page 145 to Page 147.\n",
    "\n",
    "Now we show the implementation of the optimal speed to trade at and inventory along the optimal strategy in the following code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "importing Jupyter notebook from Liquidation_Permanent_Price_Impact_helper.ipynb\n"
     ]
    }
   ],
   "source": [
    "# Import necessary libraries.\n",
    "import numpy as np\n",
    "import import_ipynb\n",
    "import Liquidation_Permanent_Price_Impact_helper as lppi_helpers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following code computes the optimal speed to trade at $\\nu_t^*$ and inventory along the optimal strategy $Q_t^{\\nu^*}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Parameter settings\n",
    "T = 1\n",
    "Ndt = 6.5 * 3600\n",
    "dt = T / Ndt\n",
    "t = np.arange(0, T + dt, dt)\n",
    "\n",
    "k = 0.001\n",
    "b = 0.001\n",
    "\n",
    "tau = T - t\n",
    "tt = np.arange(0, 1 + 1 / 10, 1 / 10)\n",
    "\n",
    "myphi = np.array([10e-10, 0.001, 0.01, 0.1])\n",
    "symb = np.array([\"o\", \"*\", \"+\", \"^\"])\n",
    "\n",
    "alpha = 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use show the change of the investor's inventory along the optimal path for various levels of the running penalty $\\phi$ as $\\alpha$ changes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 756x396 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x396 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fig 6.2 of Page 148\n",
    "lppi_helpers.plot_inventory_trading_speed(0.01, myphi, symb, t, tt, T, b, k, [r\"$\\phi = $\" + str(i) for i in myphi], main=r\"$\\alpha = 0.01$\")\n",
    "lppi_helpers.plot_inventory_trading_speed(100, myphi, symb, t, tt, T, b, k, [r\"$\\phi = $\" + str(i) for i in myphi], main=r\"$\\alpha = +\\infty$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Non-Linear Temporary Price Impact\n",
    "\n",
    "Now we assume the price impact function $f(v)$ to be non-linear and look at its effect on the optimal strategy.\n",
    "\n",
    "The agent's performance criteria is again\n",
    "$$\n",
    "\\mathbb{E}\\Big[ X_T^{\\nu} + Q_T^{\\nu}(S_T^{\\nu} - \\alpha Q_T^{\\nu}) - \\phi \\int_0^T (Q_u^{\\nu})^2\\, du\\Big]\n",
    "$$\n",
    "and the dynamics of $S^{\\nu}$, $X^{\\nu}$ and $Q^{\\nu}$ are with the explicit non-linear impact model written in place:\n",
    "$$\n",
    "dS_t^{\\nu} = -b \\nu_t dt + \\sigma dW_t, \\\\\n",
    "dX_t^{\\nu} = (S_t^{\\nu} - f(\\nu_t)) \\nu_t dt, \\\\\n",
    "dQ_t^{\\nu} = - \\nu_t dt.\n",
    "$$\n",
    "Applying $\\textbf{DPP}$, then, denote $F(\\nu)=\\nu f(\\nu)$, and assuming $\\nu f(\\nu)$ is convex, we can write the non-linear $\\textbf{PDE}$ for $h$ as\n",
    "$$\n",
    "\\partial_th - \\phi q^2 + F^*(-(bq + \\partial_q h)) = 0, \\quad h(t,q) = -\\alpha q^2\n",
    "$$\n",
    "where $F^*(u)$ is the Legendre-Fenchel dual of $F(x)$. The detailed derivation can be found from Page 152 to Page 154."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As an example, for power impact model we write $f(x)= k x^a$, and so $F(x)= k x^{1+a}$. Then, \n",
    "$$\n",
    "F^*(y) = \\sup_x(xy - k x^{1+a}).\n",
    "$$\n",
    "First order condtion implies \n",
    "$$\n",
    "x^* = \\Big ( \\frac{y}{(1+a)k} \\Big )^{\\frac{1}{a}},\n",
    "$$\n",
    "and so\n",
    "$$\n",
    "F^*(y) = \\xi y^{1 + \\frac{1}{a}},  \\quad  \\xi = \\frac{ak}{((1+a)k)^{1+\\frac{1}{a}}}\n",
    "$$\n",
    "and the optimal trading speed in feedback form is \n",
    "$$\n",
    "\\nu^* = \\Big ( -\\frac{bq + \\partial_q h}{(1 + a) k} \\Big )^{\\frac{1}{a}}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we demonstrate the effect of non-linear impact on the optimal strategy in the case of a power law temporary impact function with power parameter $a$. The model parameters are \n",
    "$b=k=10^{-4}$, $\\phi = 10 k$, $\\alpha = 100 k$, and $T=1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Parameter Settings\n",
    "a = np.array([1, 0.8, 0.6])\n",
    "k = 0.0001\n",
    "b = 0.0001\n",
    "\n",
    "phi = 10 * k\n",
    "alpha = 100 * k\n",
    "T = 1\n",
    "qmax = 1\n",
    "\n",
    "Ndt = 10000\n",
    "Ndq = 100\n",
    "\n",
    "dt = T / Ndt\n",
    "dq = qmax / Ndq"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The curves below are obtained by numerically solving the $\\textbf{PDE}$ with a finite difference scheme, substituting the solution to the optimal trading speed in feedback form, and then numerically integrating $dQ_t^{\\nu^*} = -\\nu_t^*dt$, with $Q_0^{\\nu^*} = 1$, to obtain $Q_t^{\\nu^*}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "nus, Qs, myleg, t, q = lppi_helpers.solve_pde(T, dt, qmax, dq, k, a, b, alpha, phi, Ndt, Ndq)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the optimal speed to trade at vs time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lppi_helpers.plot_multiple(t, nus.T, r\"Time\", r\"Trading Speed $\\nu^*_t$\", None, myleg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the inventory along the optimal strategy vs time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fig 6.4 of Page 154\n",
    "lppi_helpers.plot_multiple(t, Qs.T, r\"Time\", r\"Inventory $Q_t^{\\nu^*}$\", None, myleg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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         "evalue": "local variable 'fig' referenced before assignment",
         "output_type": "error",
         "traceback": [
          "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
          "\u001b[1;31mUnboundLocalError\u001b[0m                         Traceback (most recent call last)",
          "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\ipywidgets\\widgets\\interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(self, *args)\u001b[0m\n\u001b[0;32m    254\u001b[0m                     \u001b[0mvalue\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    255\u001b[0m                     \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 256\u001b[1;33m                 \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    257\u001b[0m                 \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    258\u001b[0m                 \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
          "\u001b[1;32m~\\Documents\\GitHub\\Algo-HFT-Book\\Liquidation_Permanent_Price_Impact_helper.ipynb\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(alpha)\u001b[0m\n",
          "\u001b[1;31mUnboundLocalError\u001b[0m: local variable 'fig' referenced before assignment"
         ]
        }
       ]
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        {
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     "390efda5653349679cb52df103215e15": {
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        "IPY_MODEL_39366f6c2681482ab411c55fb131b527",
        "IPY_MODEL_adf5e5448cf84207a58b748e9b18f59f"
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      "model_module_version": "1.5.0",
      "model_name": "ButtonModel",
      "state": {
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       "layout": "IPY_MODEL_05c2f3cab71a4a34b28668ff60d0160d",
       "style": "IPY_MODEL_cbab43e3ab15440cb1be2cf9af5e6a29"
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      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_744782616b504b409de4f98cde6548ba",
       "outputs": [
        {
         "data": {
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       "outputs": [
        {
         "data": {
          "application/javascript": "/* Put everything inside the global mpl namespace */\nwindow.mpl = {};\n\n\nmpl.get_websocket_type = function() {\n    if (typeof(WebSocket) !== 'undefined') {\n        return WebSocket;\n    } else if (typeof(MozWebSocket) !== 'undefined') {\n        return MozWebSocket;\n    } else {\n        alert('Your browser does not have WebSocket support. ' +\n              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n              'Firefox 4 and 5 are also supported but you ' +\n              'have to enable WebSockets in about:config.');\n    };\n}\n\nmpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n    this.id = figure_id;\n\n    this.ws = websocket;\n\n    this.supports_binary = (this.ws.binaryType != undefined);\n\n    if (!this.supports_binary) {\n        var warnings = document.getElementById(\"mpl-warnings\");\n        if (warnings) {\n            warnings.style.display = 'block';\n            warnings.textContent = (\n                \"This browser does not support binary websocket messages. \" +\n                    \"Performance may be slow.\");\n        }\n    }\n\n    this.imageObj = new Image();\n\n    this.context = undefined;\n    this.message = undefined;\n    this.canvas = undefined;\n    this.rubberband_canvas = undefined;\n    this.rubberband_context = undefined;\n    this.format_dropdown = undefined;\n\n    this.image_mode = 'full';\n\n    this.root = $('<div/>');\n    this._root_extra_style(this.root)\n    this.root.attr('style', 'display: inline-block');\n\n    $(parent_element).append(this.root);\n\n    this._init_header(this);\n    this._init_canvas(this);\n    this._init_toolbar(this);\n\n    var fig = this;\n\n    this.waiting = false;\n\n    this.ws.onopen =  function () {\n            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n            fig.send_message(\"send_image_mode\", {});\n            if (mpl.ratio != 1) {\n                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n            }\n            fig.send_message(\"refresh\", {});\n        }\n\n    this.imageObj.onload = function() {\n            if (fig.image_mode == 'full') {\n                // Full images could contain transparency (where diff images\n                // almost always do), so we need to clear the canvas so that\n                // there is no ghosting.\n                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n            }\n            fig.context.drawImage(fig.imageObj, 0, 0);\n        };\n\n    this.imageObj.onunload = function() {\n        fig.ws.close();\n    }\n\n    this.ws.onmessage = this._make_on_message_function(this);\n\n    this.ondownload = ondownload;\n}\n\nmpl.figure.prototype._init_header = function() {\n    var titlebar = $(\n        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n        'ui-helper-clearfix\"/>');\n    var titletext = $(\n        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n        'text-align: center; padding: 3px;\"/>');\n    titlebar.append(titletext)\n    this.root.append(titlebar);\n    this.header = titletext[0];\n}\n\n\n\nmpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n\n}\n\n\nmpl.figure.prototype._root_extra_style = function(canvas_div) {\n\n}\n\nmpl.figure.prototype._init_canvas = function() {\n    var fig = this;\n\n    var canvas_div = $('<div/>');\n\n    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n\n    function canvas_keyboard_event(event) {\n        return fig.key_event(event, event['data']);\n    }\n\n    canvas_div.keydown('key_press', canvas_keyboard_event);\n    canvas_div.keyup('key_release', canvas_keyboard_event);\n    this.canvas_div = canvas_div\n    this._canvas_extra_style(canvas_div)\n    this.root.append(canvas_div);\n\n    var canvas = $('<canvas/>');\n    canvas.addClass('mpl-canvas');\n    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n\n    this.canvas = canvas[0];\n    this.context = canvas[0].getContext(\"2d\");\n\n    var backingStore = this.context.backingStorePixelRatio ||\n\tthis.context.webkitBackingStorePixelRatio ||\n\tthis.context.mozBackingStorePixelRatio ||\n\tthis.context.msBackingStorePixelRatio ||\n\tthis.context.oBackingStorePixelRatio ||\n\tthis.context.backingStorePixelRatio || 1;\n\n    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n\n    var rubberband = $('<canvas/>');\n    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n\n    var pass_mouse_events = true;\n\n    canvas_div.resizable({\n        start: function(event, ui) {\n            pass_mouse_events = false;\n        },\n        resize: function(event, ui) {\n            fig.request_resize(ui.size.width, ui.size.height);\n        },\n        stop: function(event, ui) {\n            pass_mouse_events = true;\n            fig.request_resize(ui.size.width, ui.size.height);\n        },\n    });\n\n    function mouse_event_fn(event) {\n        if (pass_mouse_events)\n            return fig.mouse_event(event, event['data']);\n    }\n\n    rubberband.mousedown('button_press', mouse_event_fn);\n    rubberband.mouseup('button_release', mouse_event_fn);\n    // Throttle sequential mouse events to 1 every 20ms.\n    rubberband.mousemove('motion_notify', mouse_event_fn);\n\n    rubberband.mouseenter('figure_enter', mouse_event_fn);\n    rubberband.mouseleave('figure_leave', mouse_event_fn);\n\n    canvas_div.on(\"wheel\", function (event) {\n        event = event.originalEvent;\n        event['data'] = 'scroll'\n        if (event.deltaY < 0) {\n            event.step = 1;\n        } else {\n            event.step = -1;\n        }\n        mouse_event_fn(event);\n    });\n\n    canvas_div.append(canvas);\n    canvas_div.append(rubberband);\n\n    this.rubberband = rubberband;\n    this.rubberband_canvas = rubberband[0];\n    this.rubberband_context = rubberband[0].getContext(\"2d\");\n    this.rubberband_context.strokeStyle = \"#000000\";\n\n    this._resize_canvas = function(width, height) {\n        // Keep the size of the canvas, canvas container, and rubber band\n        // canvas in synch.\n        canvas_div.css('width', width)\n        canvas_div.css('height', height)\n\n        canvas.attr('width', width * mpl.ratio);\n        canvas.attr('height', height * mpl.ratio);\n        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n\n        rubberband.attr('width', width);\n        rubberband.attr('height', height);\n    }\n\n    // Set the figure to an initial 600x600px, this will subsequently be updated\n    // upon first draw.\n    this._resize_canvas(600, 600);\n\n    // Disable right mouse context menu.\n    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n        return false;\n    });\n\n    function set_focus () {\n        canvas.focus();\n        canvas_div.focus();\n    }\n\n    window.setTimeout(set_focus, 100);\n}\n\nmpl.figure.prototype._init_toolbar = function() {\n    var fig = this;\n\n    var nav_element = $('<div/>');\n    nav_element.attr('style', 'width: 100%');\n    this.root.append(nav_element);\n\n    // Define a callback function for later on.\n    function toolbar_event(event) {\n        return fig.toolbar_button_onclick(event['data']);\n    }\n    function toolbar_mouse_event(event) {\n        return fig.toolbar_button_onmouseover(event['data']);\n    }\n\n    for(var toolbar_ind in mpl.toolbar_items) {\n        var name = mpl.toolbar_items[toolbar_ind][0];\n        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n        var image = mpl.toolbar_items[toolbar_ind][2];\n        var method_name = mpl.toolbar_items[toolbar_ind][3];\n\n        if (!name) {\n            // put a spacer in here.\n            continue;\n        }\n        var button = $('<button/>');\n        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n                        'ui-button-icon-only');\n        button.attr('role', 'button');\n        button.attr('aria-disabled', 'false');\n        button.click(method_name, toolbar_event);\n        button.mouseover(tooltip, toolbar_mouse_event);\n\n        var icon_img = $('<span/>');\n        icon_img.addClass('ui-button-icon-primary ui-icon');\n        icon_img.addClass(image);\n        icon_img.addClass('ui-corner-all');\n\n        var tooltip_span = $('<span/>');\n        tooltip_span.addClass('ui-button-text');\n        tooltip_span.html(tooltip);\n\n        button.append(icon_img);\n        button.append(tooltip_span);\n\n        nav_element.append(button);\n    }\n\n    var fmt_picker_span = $('<span/>');\n\n    var fmt_picker = $('<select/>');\n    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n    fmt_picker_span.append(fmt_picker);\n    nav_element.append(fmt_picker_span);\n    this.format_dropdown = fmt_picker[0];\n\n    for (var ind in mpl.extensions) {\n        var fmt = mpl.extensions[ind];\n        var option = $(\n            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n        fmt_picker.append(option);\n    }\n\n    // Add hover states to the ui-buttons\n    $( \".ui-button\" ).hover(\n        function() { $(this).addClass(\"ui-state-hover\");},\n        function() { $(this).removeClass(\"ui-state-hover\");}\n    );\n\n    var status_bar = $('<span class=\"mpl-message\"/>');\n    nav_element.append(status_bar);\n    this.message = status_bar[0];\n}\n\nmpl.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\nmpl.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\nmpl.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\nmpl.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\nmpl.figure.prototype.handle_resize = function(fig, msg) {\n    var size = msg['size'];\n    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n        fig._resize_canvas(size[0], size[1]);\n        fig.send_message(\"refresh\", {});\n    };\n}\n\nmpl.figure.prototype.handle_rubberband = function(fig, msg) {\n    var x0 = msg['x0'] / mpl.ratio;\n    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n    var x1 = msg['x1'] / mpl.ratio;\n    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n    x0 = Math.floor(x0) + 0.5;\n    y0 = Math.floor(y0) + 0.5;\n    x1 = Math.floor(x1) + 0.5;\n    y1 = Math.floor(y1) + 0.5;\n    var min_x = Math.min(x0, x1);\n    var min_y = Math.min(y0, y1);\n    var width = Math.abs(x1 - x0);\n    var height = Math.abs(y1 - y0);\n\n    fig.rubberband_context.clearRect(\n        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n\n    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n}\n\nmpl.figure.prototype.handle_figure_label = function(fig, msg) {\n    // Updates the figure title.\n    fig.header.textContent = msg['label'];\n}\n\nmpl.figure.prototype.handle_cursor = function(fig, msg) {\n    var cursor = msg['cursor'];\n    switch(cursor)\n    {\n    case 0:\n        cursor = 'pointer';\n        break;\n    case 1:\n        cursor = 'default';\n        break;\n    case 2:\n        cursor = 'crosshair';\n        break;\n    case 3:\n        cursor = 'move';\n        break;\n    }\n    fig.rubberband_canvas.style.cursor = cursor;\n}\n\nmpl.figure.prototype.handle_message = function(fig, msg) {\n    fig.message.textContent = msg['message'];\n}\n\nmpl.figure.prototype.handle_draw = function(fig, msg) {\n    // Request the server to send over a new figure.\n    fig.send_draw_message();\n}\n\nmpl.figure.prototype.handle_image_mode = function(fig, msg) {\n    fig.image_mode = msg['mode'];\n}\n\nmpl.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.\nmpl.figure.prototype._make_on_message_function = function(fig) {\n    return function socket_on_message(evt) {\n        if (evt.data instanceof Blob) {\n            /* FIXME: We get \"Resource interpreted as Image but\n             * transferred with MIME type text/plain:\" errors on\n             * Chrome.  But how to set the MIME type?  It doesn't seem\n             * to be part of the websocket stream */\n            evt.data.type = \"image/png\";\n\n            /* Free the memory for the previous frames */\n            if (fig.imageObj.src) {\n                (window.URL || window.webkitURL).revokeObjectURL(\n                    fig.imageObj.src);\n            }\n\n            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n                evt.data);\n            fig.updated_canvas_event();\n            fig.waiting = false;\n            return;\n        }\n        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n            fig.imageObj.src = evt.data;\n            fig.updated_canvas_event();\n            fig.waiting = false;\n            return;\n        }\n\n        var msg = JSON.parse(evt.data);\n        var msg_type = msg['type'];\n\n        // Call the  \"handle_{type}\" callback, which takes\n        // the figure and JSON message as its only arguments.\n        try {\n            var callback = fig[\"handle_\" + msg_type];\n        } catch (e) {\n            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n            return;\n        }\n\n        if (callback) {\n            try {\n                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n                callback(fig, msg);\n            } catch (e) {\n                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n            }\n        }\n    };\n}\n\n// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\nmpl.findpos = function(e) {\n    //this section is from http://www.quirksmode.org/js/events_properties.html\n    var targ;\n    if (!e)\n        e = window.event;\n    if (e.target)\n        targ = e.target;\n    else if (e.srcElement)\n        targ = e.srcElement;\n    if (targ.nodeType == 3) // defeat Safari bug\n        targ = targ.parentNode;\n\n    // jQuery normalizes the pageX and pageY\n    // pageX,Y are the mouse positions relative to the document\n    // offset() returns the position of the element relative to the document\n    var x = e.pageX - $(targ).offset().left;\n    var y = e.pageY - $(targ).offset().top;\n\n    return {\"x\": x, \"y\": y};\n};\n\n/*\n * return a copy of an object with only non-object keys\n * we need this to avoid circular references\n * http://stackoverflow.com/a/24161582/3208463\n */\nfunction simpleKeys (original) {\n  return Object.keys(original).reduce(function (obj, key) {\n    if (typeof original[key] !== 'object')\n        obj[key] = original[key]\n    return obj;\n  }, {});\n}\n\nmpl.figure.prototype.mouse_event = function(event, name) {\n    var canvas_pos = mpl.findpos(event)\n\n    if (name === 'button_press')\n    {\n        this.canvas.focus();\n        this.canvas_div.focus();\n    }\n\n    var x = canvas_pos.x * mpl.ratio;\n    var y = canvas_pos.y * mpl.ratio;\n\n    this.send_message(name, {x: x, y: y, button: event.button,\n                             step: event.step,\n                             guiEvent: simpleKeys(event)});\n\n    /* This prevents the web browser from automatically changing to\n     * the text insertion cursor when the button is pressed.  We want\n     * to control all of the cursor setting manually through the\n     * 'cursor' event from matplotlib */\n    event.preventDefault();\n    return false;\n}\n\nmpl.figure.prototype._key_event_extra = function(event, name) {\n    // Handle any extra behaviour associated with a key event\n}\n\nmpl.figure.prototype.key_event = function(event, name) {\n\n    // Prevent repeat events\n    if (name == 'key_press')\n    {\n        if (event.which === this._key)\n            return;\n        else\n            this._key = event.which;\n    }\n    if (name == 'key_release')\n        this._key = null;\n\n    var value = '';\n    if (event.ctrlKey && event.which != 17)\n        value += \"ctrl+\";\n    if (event.altKey && event.which != 18)\n        value += \"alt+\";\n    if (event.shiftKey && event.which != 16)\n        value += \"shift+\";\n\n    value += 'k';\n    value += event.which.toString();\n\n    this._key_event_extra(event, name);\n\n    this.send_message(name, {key: value,\n                             guiEvent: simpleKeys(event)});\n    return false;\n}\n\nmpl.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\nmpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n    this.message.textContent = tooltip;\n};\nmpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n\nmpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n\nmpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n    // Create a \"websocket\"-like object which calls the given IPython comm\n    // object with the appropriate methods. Currently this is a non binary\n    // socket, so there is still some room for performance tuning.\n    var ws = {};\n\n    ws.close = function() {\n        comm.close()\n    };\n    ws.send = function(m) {\n        //console.log('sending', m);\n        comm.send(m);\n    };\n    // Register the callback with on_msg.\n    comm.on_msg(function(msg) {\n        //console.log('receiving', msg['content']['data'], msg);\n        // Pass the mpl event to the overridden (by mpl) onmessage function.\n        ws.onmessage(msg['content']['data'])\n    });\n    return ws;\n}\n\nmpl.mpl_figure_comm = function(comm, msg) {\n    // This is the function which gets called when the mpl process\n    // starts-up an IPython Comm through the \"matplotlib\" channel.\n\n    var id = msg.content.data.id;\n    // Get hold of the div created by the display call when the Comm\n    // socket was opened in Python.\n    var element = $(\"#\" + id);\n    var ws_proxy = comm_websocket_adapter(comm)\n\n    function ondownload(figure, format) {\n        window.open(figure.imageObj.src);\n    }\n\n    var fig = new mpl.figure(id, ws_proxy,\n                           ondownload,\n                           element.get(0));\n\n    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n    // web socket which is closed, not our websocket->open comm proxy.\n    ws_proxy.onopen();\n\n    fig.parent_element = element.get(0);\n    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n    if (!fig.cell_info) {\n        console.error(\"Failed to find cell for figure\", id, fig);\n        return;\n    }\n\n    var output_index = fig.cell_info[2]\n    var cell = fig.cell_info[0];\n\n};\n\nmpl.figure.prototype.handle_close = function(fig, msg) {\n    var width = fig.canvas.width/mpl.ratio\n    fig.root.unbind('remove')\n\n    // Update the output cell to use the data from the current canvas.\n    fig.push_to_output();\n    var dataURL = fig.canvas.toDataURL();\n    // Re-enable the keyboard manager in IPython - without this line, in FF,\n    // the notebook keyboard shortcuts fail.\n    IPython.keyboard_manager.enable()\n    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n    fig.close_ws(fig, msg);\n}\n\nmpl.figure.prototype.close_ws = function(fig, msg){\n    fig.send_message('closing', msg);\n    // fig.ws.close()\n}\n\nmpl.figure.prototype.push_to_output = function(remove_interactive) {\n    // Turn the data on the canvas into data in the output cell.\n    var width = this.canvas.width/mpl.ratio\n    var dataURL = this.canvas.toDataURL();\n    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n}\n\nmpl.figure.prototype.updated_canvas_event = function() {\n    // Tell IPython that the notebook contents must change.\n    IPython.notebook.set_dirty(true);\n    this.send_message(\"ack\", {});\n    var fig = this;\n    // Wait a second, then push the new image to the DOM so\n    // that it is saved nicely (might be nice to debounce this).\n    setTimeout(function () { fig.push_to_output() }, 1000);\n}\n\nmpl.figure.prototype._init_toolbar = function() {\n    var fig = this;\n\n    var nav_element = $('<div/>');\n    nav_element.attr('style', 'width: 100%');\n    this.root.append(nav_element);\n\n    // Define a callback function for later on.\n    function toolbar_event(event) {\n        return fig.toolbar_button_onclick(event['data']);\n    }\n    function toolbar_mouse_event(event) {\n        return fig.toolbar_button_onmouseover(event['data']);\n    }\n\n    for(var toolbar_ind in mpl.toolbar_items){\n        var name = mpl.toolbar_items[toolbar_ind][0];\n        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n        var image = mpl.toolbar_items[toolbar_ind][2];\n        var method_name = mpl.toolbar_items[toolbar_ind][3];\n\n        if (!name) { continue; };\n\n        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n        button.click(method_name, toolbar_event);\n        button.mouseover(tooltip, toolbar_mouse_event);\n        nav_element.append(button);\n    }\n\n    // Add the status bar.\n    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n    nav_element.append(status_bar);\n    this.message = status_bar[0];\n\n    // Add the close button to the window.\n    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n    button.click(function (evt) { fig.handle_close(fig, {}); } );\n    button.mouseover('Stop Interaction', toolbar_mouse_event);\n    buttongrp.append(button);\n    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n    titlebar.prepend(buttongrp);\n}\n\nmpl.figure.prototype._root_extra_style = function(el){\n    var fig = this\n    el.on(\"remove\", function(){\n\tfig.close_ws(fig, {});\n    });\n}\n\nmpl.figure.prototype._canvas_extra_style = function(el){\n    // this is important to make the div 'focusable\n    el.attr('tabindex', 0)\n    // reach out to IPython and tell the keyboard manager to turn it's self\n    // off when our div gets focus\n\n    // location in version 3\n    if (IPython.notebook.keyboard_manager) {\n        IPython.notebook.keyboard_manager.register_events(el);\n    }\n    else {\n        // location in version 2\n        IPython.keyboard_manager.register_events(el);\n    }\n\n}\n\nmpl.figure.prototype._key_event_extra = function(event, name) {\n    var manager = IPython.notebook.keyboard_manager;\n    if (!manager)\n        manager = IPython.keyboard_manager;\n\n    // Check for shift+enter\n    if (event.shiftKey && event.which == 13) {\n        this.canvas_div.blur();\n        event.shiftKey = false;\n        // Send a \"J\" for go to next cell\n        event.which = 74;\n        event.keyCode = 74;\n        manager.command_mode();\n        manager.handle_keydown(event);\n    }\n}\n\nmpl.figure.prototype.handle_save = function(fig, msg) {\n    fig.ondownload(fig, null);\n}\n\n\nmpl.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.\nif (IPython.notebook.kernel != null) {\n    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n}\n",
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      "model_module_version": "1.5.0",
      "model_name": "ButtonModel",
      "state": {
       "description": "Run Interact",
       "layout": "IPY_MODEL_65ead407459e4415b74864b23ec5cb6b",
       "style": "IPY_MODEL_1614e2f6c714473797027330ea429ceb"
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       "outputs": [
        {
         "data": {
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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "69ff866b11df4e09bebd9d249113667f": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ButtonModel",
      "state": {
       "description": "Run Interact",
       "layout": "IPY_MODEL_8ee85660ea204d20b187455c9e7b69a9",
       "style": "IPY_MODEL_005630e8de84429287ee9392b1a68d14"
      }
     },
     "6b9ed6e4d87e4c13b0948dc3108417b0": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_8c2f61b512c0482fb8eaa65dd6887598",
       "outputs": [
        {
         "ename": "UnboundLocalError",
         "evalue": "local variable 'default_closed' referenced before assignment",
         "output_type": "error",
         "traceback": [
          "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
          "\u001b[1;31mUnboundLocalError\u001b[0m                         Traceback (most recent call last)",
          "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\ipywidgets\\widgets\\interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(self, *args)\u001b[0m\n\u001b[0;32m    254\u001b[0m                     \u001b[0mvalue\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    255\u001b[0m                     \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 256\u001b[1;33m                 \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    257\u001b[0m                 \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    258\u001b[0m                 \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
          "\u001b[1;32m~\\Documents\\GitHub\\Algo-HFT-Book\\Liquidation_Permanent_Price_Impact_helper.ipynb\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(alpha)\u001b[0m\n",
          "\u001b[1;31mUnboundLocalError\u001b[0m: local variable 'default_closed' referenced before assignment"
         ]
        }
       ]
      }
     },
     "6be48811316b4842b72818f85c1498ee": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ButtonModel",
      "state": {
       "description": "Run Interact",
       "layout": "IPY_MODEL_db92a6c7dfbf4a9b82c6c5805a7bba84",
       "style": "IPY_MODEL_0f454a510224400da151701c319615cf"
      }
     },
     "6c2b4044c882474d92c11bf31565cbd4": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "6ce6408a309e40e485cd868a071d275a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ButtonStyleModel",
      "state": {}
     },
     "6f9e0fe41e664bcabbad6f76d0e484c3": {
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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "7b42baa7202d448c9db3b035ea4ceb5d": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ButtonModel",
      "state": {
       "description": "Run Interact",
       "layout": "IPY_MODEL_682c304806ef4f9bbf462126c96cf2aa",
       "style": "IPY_MODEL_cc1e8748888e4756817d9f96f1ee3d37"
      }
     },
     "7b5301d0856e4be9916f81f0da923194": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "7f7541897f8442a987fea441bf68a599": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "810f8142891040f0a8aa3ef345263893": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_0f50caa8fa8e4751beb4c65d29725634",
        "IPY_MODEL_95468af61854493ba3b7da9d5b947fb6",
        "IPY_MODEL_9f80bc6677be4e3eb07967f941216f36"
       ],
       "layout": "IPY_MODEL_9312aa10e24e4f5ea1992ca3053aaf88"
      }
     },
     "81bf775f978d4be39d5a6744f49f5615": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "823e1afcd81f49f78110c8c20311a0b8": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ButtonModel",
      "state": {
       "description": "Run Interact",
       "layout": "IPY_MODEL_336ff1f6faaf48cead349e7936879ec1",
       "style": "IPY_MODEL_cdce713c98914e0b929a0f057060978b"
      }
     },
     "83b5d9673d0545a3bdd5df925892419a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "alpha",
       "layout": "IPY_MODEL_37d147e3cf5f4d90a867a80641377e3f",
       "min": 0.01,
       "step": 0.01,
       "style": "IPY_MODEL_0ff6448cb8be44f8890c51b670149d2c",
       "value": 19.68
      }
     },
     "85a3c069de034723b2fdab0b4bdc5de4": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_0bc743dfff5341c0835d9419858f17b1",
       "outputs": [
        {
         "ename": "UnboundLocalError",
         "evalue": "local variable 'default_closed' referenced before assignment",
         "output_type": "error",
         "traceback": [
          "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
          "\u001b[1;31mUnboundLocalError\u001b[0m                         Traceback (most recent call last)",
          "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\ipywidgets\\widgets\\interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(self, *args)\u001b[0m\n\u001b[0;32m    254\u001b[0m                     \u001b[0mvalue\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    255\u001b[0m                     \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 256\u001b[1;33m                 \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    257\u001b[0m                 \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    258\u001b[0m                 \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
          "\u001b[1;32m~\\Documents\\GitHub\\Algo-HFT-Book\\Liquidation_Permanent_Price_Impact_helper.ipynb\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(alpha)\u001b[0m\n",
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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "a758c6f6fbc34986a97ff6dc61aa8144": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "aa630c24cf3749ddb6e85ddedc4e3711": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ButtonStyleModel",
      "state": {}
     },
     "abaad207360741d7a5cc59413d6eb25d": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "ac9c4c70e27646a5a77be8d60ec72c6f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "ad5bc9df44fe46828a6de27e59bd5d1f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "adf5e5448cf84207a58b748e9b18f59f": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_2c4b5abda8444cedaf19ad890e4e2eb1",
       "outputs": [
        {
         "ename": "UnboundLocalError",
         "evalue": "local variable 'fig' referenced before assignment",
         "output_type": "error",
         "traceback": [
          "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
          "\u001b[1;31mUnboundLocalError\u001b[0m                         Traceback (most recent call last)",
          "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\ipywidgets\\widgets\\interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(self, *args)\u001b[0m\n\u001b[0;32m    254\u001b[0m                     \u001b[0mvalue\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    255\u001b[0m                     \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 256\u001b[1;33m                 \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m**\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    257\u001b[0m                 \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    258\u001b[0m                 \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
          "\u001b[1;32m~\\Documents\\GitHub\\Algo-HFT-Book\\Liquidation_Permanent_Price_Impact_helper.ipynb\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(alpha)\u001b[0m\n",
          "\u001b[1;31mUnboundLocalError\u001b[0m: local variable 'fig' referenced before assignment"
         ]
        }
       ]
      }
     },
     "aec6c9371915457091947ab1ad2020be": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_2eb3458fd3604d1c98f7466d52fd718c",
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     },
     "d7e6f1e1b972440fa3e3a68558e3d7b4": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "d9baed7dfad2495cacc362ff3778b0eb": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_477a6b60391d4c5f97fcb53a2b0b4c60",
       "outputs": [
        {
         "data": {
          "text/plain": "<Figure size 432x288 with 0 Axes>"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "db92a6c7dfbf4a9b82c6c5805a7bba84": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "dc68d85c4c694486975697abb6422566": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_f83eb34117be4532b717d33970d54fdd",
       "outputs": [
        {
         "data": {
          "text/plain": "<Figure size 432x288 with 0 Axes>"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
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         },
         "output_type": "display_data"
        }
       ]
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     },
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     "e87264db12a84c138eeb9720e64c718c": {
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      "model_name": "ButtonModel",
      "state": {
       "description": "Run Interact",
       "layout": "IPY_MODEL_9b0c2a0342a4496ca6a292d1a5379a9e",
       "style": "IPY_MODEL_6ce6408a309e40e485cd868a071d275a"
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     "ebae2a046f4e456283ee1f6e4e041849": {
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     "ee093d6f108b421297660f7387c3be85": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f22810823b0447fc8ea0acf1d9fd7340": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_54a0b0fcff754b03bb9a932a1a72658b",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "f2c7429037114a0b954a68707ed62f38": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f4d6ddb071b24e73a259807c1d9ff9ad": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_78b080b57bc942d7a97ae8a63661c035",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 432x288 with 2 Axes>"
         },
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 },
 "nbformat": 4,
 "nbformat_minor": 2
}

## Liquidation_Permanent_Price_Impact_helper.ipynb

      
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