{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Point source on top  of a halfspace"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Overview:** We are going to play with the solutions for a concentrated force located at $(0,0,0)$. Positive $z$ is inside the medium."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division\n",
    "import numpy as np\n",
    "from sympy import *\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib import colors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "gray = '#757575'\n",
    "plt.rcParams[\"mathtext.fontset\"] = \"cm\"\n",
    "plt.rcParams[\"text.color\"] = gray\n",
    "plt.rcParams[\"xtick.color\"] = gray\n",
    "plt.rcParams[\"ytick.color\"] = gray\n",
    "plt.rcParams[\"axes.labelcolor\"] = gray\n",
    "plt.rcParams[\"axes.edgecolor\"] = gray\n",
    "\n",
    "init_printing()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y, z, r, E, nu, Fx, Fy, Fz = symbols('x y z r E nu F1 F2 F3')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{\\left(\\nu + 1\\right) \\left(\\frac{F_{1} \\left(r \\left(- 2 \\nu + 2\\right) + z\\right)}{r \\left(r + z\\right)} + F_{3} \\left(- \\frac{x \\left(- 2 \\nu + 1\\right)}{r \\left(r + z\\right)} + \\frac{x z}{r^{3}}\\right) + \\frac{x \\left(F_{1} x + F_{2} y\\right) \\left(2 r \\left(\\nu r + z\\right) + z^{2}\\right)}{r^{3} \\left(r + z\\right)^{2}}\\right)}{2 \\pi E}$$"
      ],
      "text/plain": [
       "        ⎛                                                                    ⎛\n",
       "        ⎜F₁⋅(r⋅(-2⋅ν + 2) + z)      ⎛  x⋅(-2⋅ν + 1)   x⋅z⎞   x⋅(F₁⋅x + F₂⋅y)⋅⎝\n",
       "(ν + 1)⋅⎜───────────────────── + F₃⋅⎜- ──────────── + ───⎟ + ─────────────────\n",
       "        ⎜      r⋅(r + z)            ⎜   r⋅(r + z)       3⎟                3   \n",
       "        ⎝                           ⎝                  r ⎠               r ⋅(r\n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                              2⋅π⋅E                           \n",
       "\n",
       "                 2⎞⎞\n",
       "2⋅r⋅(ν⋅r + z) + z ⎠⎟\n",
       "───────────────────⎟\n",
       "     2             ⎟\n",
       " + z)              ⎠\n",
       "────────────────────\n",
       "                    "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ux = (1+nu)/(2*pi*E)*((x*z/r**3 - (1-2*nu)*x/(r*(r + z)))*Fz +\n",
    "                       (2*(1 - nu)*r + z)/(r*(r + z))*Fx +\n",
    "                       ((2*r*(nu*r + z) + z**2)*x)/(r**3*(r + z)**2)*(x*Fx + y*Fy))\n",
    "ux"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{\\left(\\nu + 1\\right) \\left(\\frac{F_{2} \\left(r \\left(- 2 \\nu + 2\\right) + z\\right)}{r \\left(r + z\\right)} + F_{3} \\left(- \\frac{y \\left(- 2 \\nu + 1\\right)}{r \\left(r + z\\right)} + \\frac{y z}{r^{3}}\\right) + \\frac{y \\left(F_{1} x + F_{2} y\\right) \\left(2 r \\left(\\nu r + z\\right) + z^{2}\\right)}{r^{3} \\left(r + z\\right)^{2}}\\right)}{2 \\pi E}$$"
      ],
      "text/plain": [
       "        ⎛                                                                    ⎛\n",
       "        ⎜F₂⋅(r⋅(-2⋅ν + 2) + z)      ⎛  y⋅(-2⋅ν + 1)   y⋅z⎞   y⋅(F₁⋅x + F₂⋅y)⋅⎝\n",
       "(ν + 1)⋅⎜───────────────────── + F₃⋅⎜- ──────────── + ───⎟ + ─────────────────\n",
       "        ⎜      r⋅(r + z)            ⎜   r⋅(r + z)       3⎟                3   \n",
       "        ⎝                           ⎝                  r ⎠               r ⋅(r\n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                              2⋅π⋅E                           \n",
       "\n",
       "                 2⎞⎞\n",
       "2⋅r⋅(ν⋅r + z) + z ⎠⎟\n",
       "───────────────────⎟\n",
       "     2             ⎟\n",
       " + z)              ⎠\n",
       "────────────────────\n",
       "                    "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uy = (1+nu)/(2*pi*E)*((y*z/r**3 - (1-2*nu)*y/(r*(r + z)))*Fz +\n",
    "                       (2*(1 - nu)*r + z)/(r*(r + z))*Fy +\n",
    "                       ((2*r*(nu*r + z) + z**2)*y)/(r**3*(r + z)**2)*(x*Fx + y*Fy))\n",
    "uy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{\\left(\\nu + 1\\right) \\left(F_{3} \\left(\\frac{- 2 \\nu + 2}{r} + \\frac{z^{2}}{r^{3}}\\right) + \\left(F_{1} x + F_{2} y\\right) \\left(\\frac{- 2 \\nu + 1}{r \\left(r + z\\right)} + \\frac{z}{r^{3}}\\right)\\right)}{2 \\pi E}$$"
      ],
      "text/plain": [
       "        ⎛   ⎛            2⎞                                 ⎞\n",
       "        ⎜   ⎜-2⋅ν + 2   z ⎟                 ⎛ -2⋅ν + 1   z ⎞⎟\n",
       "(ν + 1)⋅⎜F₃⋅⎜──────── + ──⎟ + (F₁⋅x + F₂⋅y)⋅⎜───────── + ──⎟⎟\n",
       "        ⎜   ⎜   r        3⎟                 ⎜r⋅(r + z)    3⎟⎟\n",
       "        ⎝   ⎝           r ⎠                 ⎝            r ⎠⎠\n",
       "─────────────────────────────────────────────────────────────\n",
       "                            2⋅π⋅E                            "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uz = (1+nu)/(2*pi*E)*((2*(1 - nu)/r + z**2/r**3)*Fz +\n",
    "                       ((1 - 2*nu)/(r*(r + z)) + z/r**3)*(x*Fx + y*Fy))\n",
    "uz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Withouth loss of generality we can assume that $F_y=0$, this is equivalent a rotate the axes until the force is in the plane $y=0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{\\left(\\nu + 1\\right) \\left(\\frac{F_{1} \\left(r \\left(- 2 \\nu + 2\\right) + z\\right)}{r \\left(r + z\\right)} + \\frac{F_{1} x^{2} \\left(2 r \\left(\\nu r + z\\right) + z^{2}\\right)}{r^{3} \\left(r + z\\right)^{2}} + F_{3} \\left(- \\frac{x \\left(- 2 \\nu + 1\\right)}{r \\left(r + z\\right)} + \\frac{x z}{r^{3}}\\right)\\right)}{2 \\pi E}$$"
      ],
      "text/plain": [
       "        ⎛                            2 ⎛                 2⎞                   \n",
       "        ⎜F₁⋅(r⋅(-2⋅ν + 2) + z)   F₁⋅x ⋅⎝2⋅r⋅(ν⋅r + z) + z ⎠      ⎛  x⋅(-2⋅ν + \n",
       "(ν + 1)⋅⎜───────────────────── + ────────────────────────── + F₃⋅⎜- ──────────\n",
       "        ⎜      r⋅(r + z)                 3        2              ⎜   r⋅(r + z)\n",
       "        ⎝                               r ⋅(r + z)               ⎝            \n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                         2⋅π⋅E                                \n",
       "\n",
       "         ⎞\n",
       "1)   x⋅z⎞⎟\n",
       "── + ───⎟⎟\n",
       "       3⎟⎟\n",
       "      r ⎠⎠\n",
       "──────────\n",
       "          "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ux = ux.subs(Fy, 0)\n",
    "ux"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{\\left(\\nu + 1\\right) \\left(\\frac{F_{1} \\left(r \\left(- 2 \\nu + 2\\right) + z\\right)}{r \\left(r + z\\right)} + \\frac{F_{1} x^{2} \\left(2 r \\left(\\nu r + z\\right) + z^{2}\\right)}{r^{3} \\left(r + z\\right)^{2}} + F_{3} \\left(- \\frac{x \\left(- 2 \\nu + 1\\right)}{r \\left(r + z\\right)} + \\frac{x z}{r^{3}}\\right)\\right)}{2 \\pi E}$$"
      ],
      "text/plain": [
       "        ⎛                            2 ⎛                 2⎞                   \n",
       "        ⎜F₁⋅(r⋅(-2⋅ν + 2) + z)   F₁⋅x ⋅⎝2⋅r⋅(ν⋅r + z) + z ⎠      ⎛  x⋅(-2⋅ν + \n",
       "(ν + 1)⋅⎜───────────────────── + ────────────────────────── + F₃⋅⎜- ──────────\n",
       "        ⎜      r⋅(r + z)                 3        2              ⎜   r⋅(r + z)\n",
       "        ⎝                               r ⋅(r + z)               ⎝            \n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                         2⋅π⋅E                                \n",
       "\n",
       "         ⎞\n",
       "1)   x⋅z⎞⎟\n",
       "── + ───⎟⎟\n",
       "       3⎟⎟\n",
       "      r ⎠⎠\n",
       "──────────\n",
       "          "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uy = ux.subs(Fy, 0)\n",
    "uy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\frac{\\left(\\nu + 1\\right) \\left(F_{1} x \\left(\\frac{- 2 \\nu + 1}{r \\left(r + z\\right)} + \\frac{z}{r^{3}}\\right) + F_{3} \\left(\\frac{- 2 \\nu + 2}{r} + \\frac{z^{2}}{r^{3}}\\right)\\right)}{2 \\pi E}$$"
      ],
      "text/plain": [
       "        ⎛                           ⎛            2⎞⎞\n",
       "        ⎜     ⎛ -2⋅ν + 1   z ⎞      ⎜-2⋅ν + 2   z ⎟⎟\n",
       "(ν + 1)⋅⎜F₁⋅x⋅⎜───────── + ──⎟ + F₃⋅⎜──────── + ──⎟⎟\n",
       "        ⎜     ⎜r⋅(r + z)    3⎟      ⎜   r        3⎟⎟\n",
       "        ⎝     ⎝            r ⎠      ⎝           r ⎠⎠\n",
       "────────────────────────────────────────────────────\n",
       "                       2⋅π⋅E                        "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uz = uz.subs(Fy, 0)\n",
    "uz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The displacement vector is then"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "u = Matrix([ux, uy, uz]).subs(r, sqrt(x**2 + y**2 + z**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us check if the displacement vanish when $x,y,z \\rightarrow \\infty$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\left[\\begin{matrix}0\\\\0\\\\0\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡0⎤\n",
       "⎢ ⎥\n",
       "⎢0⎥\n",
       "⎢ ⎥\n",
       "⎣0⎦"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u.limit(x, oo)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\left[\\begin{matrix}0\\\\0\\\\0\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡0⎤\n",
       "⎢ ⎥\n",
       "⎢0⎥\n",
       "⎢ ⎥\n",
       "⎣0⎦"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u.limit(y, oo)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\left[\\begin{matrix}0\\\\0\\\\0\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡0⎤\n",
       "⎢ ⎥\n",
       "⎢0⎥\n",
       "⎢ ⎥\n",
       "⎣0⎦"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u.limit(z, oo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sym_grad(u, x):\n",
    "    \"\"\"Compute the symmetric gradient of u wrt to x\"\"\"\n",
    "    return Matrix(3, 3, lambda i,j:\n",
    "                  S(1)/2*(diff(u[i], x[j]) + diff(u[j], x[i])))\n",
    "\n",
    "\n",
    "def strain_to_stress(e, E, nu):\n",
    "    \"\"\"Strain to stress relation (Hooke's law)\"\"\"\n",
    "    lamda = E*nu/((1 + nu)*(1 - 2*nu))\n",
    "    mu = E/(2*(1 + nu))\n",
    "    delta = eye(3)\n",
    "    return Matrix(3, 3, lambda i,j: \n",
    "       lamda*(e[0,0] + e[1,1] + e[2,2])*delta[i,j] + 2*mu*e[i,j])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "e = sym_grad(u, [x,y,z])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma = strain_to_stress(e, E, nu)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us check if the strains and stress components vanish when $x,y,z \\rightarrow \\infty$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "check_strains = False\n",
    "if check_strains:\n",
    "    display(e.limit(x, oo))\n",
    "    display(e.limit(y, oo))\n",
    "    display(e.limit(z, oo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "check_stresses = False\n",
    "if check_stresses:\n",
    "    display(sigma.limit(x, oo))\n",
    "    display(sigma.limit(y, oo))\n",
    "    display(sigma.limit(z, oo))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualization of the fields"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_vec, z_vec = np.mgrid[-2:2:100j, 0:5:100j]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def field_plot(expr, x_vec, y_vec, z_vec, E_val, nu_val, Fx_val, Fz_val, title=''):\n",
    "    \"\"\"Plot the field\"\"\" \n",
    "    \n",
    "    # Lambdify the function\n",
    "    expr_fun = lambdify((x, y, z, E, nu, Fx, Fz), expr, \"numpy\")\n",
    "    expr_vec = expr_fun(x_vec, y_vec, z_vec, E_val, nu_val, Fx_val, Fz_val) \n",
    "    \n",
    "    # Determine extrema\n",
    "    vmin = np.min(expr_vec)\n",
    "    vmax = np.max(expr_vec)\n",
    "    print(\"Minimum value in the domain: {:g}\".format(vmin))\n",
    "    print(\"Maximum value in the domain: {:g}\".format(vmax))\n",
    "    vmax = max(np.abs(vmax), np.abs(vmin))\n",
    "    \n",
    "    # Plotting\n",
    "    fig = plt.gcf()\n",
    "    ax = plt.gca()\n",
    "    levels = np.logspace(-1, np.log10(vmax), 10)\n",
    "    levels = np.hstack((-levels[-1::-1], [0], levels))\n",
    "    cbar_ticks = [\"{:.2g}\".format(level) for level in levels]\n",
    "    cont = plt.contourf(x_vec, z_vec, expr_vec, levels=levels,\n",
    "                        cmap=\"RdYlBu_r\", norm=colors.SymLogNorm(0.1))\n",
    "    cbar = fig.colorbar(cont, ticks=levels[::2])\n",
    "    cbar.ax.set_yticklabels(cbar_ticks[::2])\n",
    "    plt.axis(\"image\")\n",
    "    plt.gca().invert_yaxis()\n",
    "    plt.xlabel(r\"$x$\")\n",
    "    plt.ylabel(r\"$z$\")\n",
    "    plt.title(title)\n",
    "    return cont"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Displacements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: 0.0881197\n",
      "Maximum value in the domain: 15.4645\n"
     ]
    }
   ],
   "source": [
    "umag = sqrt((u.T*u)[0])\n",
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(umag, x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -4.09665\n",
      "Maximum value in the domain: 4.09665\n"
     ]
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(u[0], x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: 0.0869101\n",
      "Maximum value in the domain: 14.3383\n"
     ]
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(u[2], x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stresses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the components of stress"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -38.5975\n",
      "Maximum value in the domain: 272.979\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -6.4627\n",
      "Maximum value in the domain: 77.9939\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -51.6639\n",
      "Maximum value in the domain: 51.6639\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -6.4627\n",
      "Maximum value in the domain: 77.9939\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -59.0538\n",
      "Maximum value in the domain: 116.991\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -272.979\n",
      "Maximum value in the domain: 272.979\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -51.6639\n",
      "Maximum value in the domain: 51.6639\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -272.979\n",
      "Maximum value in the domain: 272.979\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -158.248\n",
      "Maximum value in the domain: 116.991\n"
     ]
    }
   ],
   "source": [
    "for row in range(0,3):\n",
    "    for col in range(0,3):\n",
    "        plt.figure(figsize=(6, 4))\n",
    "        field_plot(sigma[row,col], x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0,\n",
    "                   title=r\"$\\sigma_{%i%i}$\"%(row+1, col+1))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stress invariants\n",
    "\n",
    "We can also plot the invariants of the stress tensor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -85.2999\n",
      "Maximum value in the domain: 168.987\n"
     ]
    }
   ],
   "source": [
    "I1 = S(1)/3*trace(sigma)\n",
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(I1, x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: 0.000527446\n",
      "Maximum value in the domain: 260050\n"
     ]
    }
   ],
   "source": [
    "I2 = S(1)/2*(trace(sigma)**2 + trace(sigma**2))\n",
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(I2, x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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QX3/+/+Zl7T/PSUFwmO9+wDwgPWgAsISdklhvdSQ/CyDSy36qy0p8lFUrPbzLXfuPF6jEUoKrISSAr6x3n0AeMB6UAFhyVdJYb2kkHAXvuUW/bUUFaspLT7m2CudN4/laIeSAmmUFPCN9e4DwAPWgwoIy2pLCuulg3z6hW6lRf9jS4owk8u581gvvlBSFB9KCvjGevcB4AHrQQWEZamSwnqJIIWztOWy6BdiUZHreVPKkaW+DygpooOSAr6x3n0AeMB6UAFhSf/idu/WfvMFgRTGYkZJQVFB/sy9W/tZQiOCkgK+sd59AHjAelABYaGkKN7k+pT3XJf9QioqVnPOvO4KWSqUFNFBSQHfWO8+ADxgPaiAsFBSFGfCKCgKpahYyzlTVJCgUFJEByUFfGO9+wDwgPWgAsJCSVFcWcs7HPhUVIRZUFBWFF8oKaKDkgK+sd59AHjAelABYaGkKJ6sZRlfa0lhUVSs9TzX+nWx/vck4YeSIjooKeAb690HgAesBxUQFkqK4shaF/GPKSk+VVnxsef3MV8b639XEm4oKaKDkgK+sd59AHjAelABYaGkiHY+ZgHPV0kRRmGRz3PKx9fI+t+ZhBNKiuigpIBvrHcfAB6wHlRAWCgpopl8LN5hlBQfU1iEdR75/FpZ/7uT/IaSIjooKeAb690HgAesBxUQFkqK6CWfS3fYRYV1wvhaWf/7k/yFkiI6KCngG+vdB4AHrAcVEBZKimgljKWbkoKiolhDSREdhVZSvHjxQp2dndqyZYuqqqqUSCTU0NCg9vZ2vXnzZlXHGh0d1TfffKPa2lrF43FVVlaqqalJv/zyy6rPK58mJib07bffqrq6WvF4XJ999pnOnDmjubm5rNs2NzfLOReYvr4+g7O3Z737APCA9aACwkJJEZ2EtXBHtagI++tl/XggHx9KiugotJKio6NDiURCu3fv1o8//qiBgQF9/fXXisViSqVSGhkZyek4v/76q8rKylRfX6/Ozk4NDQ2pp6dHBw8e1ODg4KrPK1+mpqb0+eefKxaLqb29XYODgzpw4ICcczpw4EDW7Zubm1VZWalLly5l5cWLFwb3wJ717gPAA9aDCggLJYX/CXvZpqSgrCjWUFJER6GVFL/99psmJyezLh8YGJBzTnv27FnxGJOTk6qqqlJzc7NmZmZWfQ6rNTo6KuecLly4sOJtT548Keecenp6Mi4/cuSInHO6c+dOxuXNzc2qq6vL6/n6znr3AeAB60EFhIWSwu98qkU7akXFp/66WT9OyNpCSREdhVZSLGVqakrOOa1fv37F254+fVrOOT1+/FiSNDs7u2JZ8ezZM+3du1dVVVWKx+Oqra3VkSNHAguTD62mpKirq1Mikcg6n/Qx2traMi5PlxTz8/N69+6d5ufnV/wcUWe9+wDwgPWgAsJCSeFnPvWSHaWiwvJrZ/24IasLJUV0+FJSPH/+XM45NTU1rXjbLVu2qKysTA8ePNDmzZsXXsNh/fr1gUXCnTt3lEgkVFdXp87OTg0ODuro0aMLr4cxNTW17OfLtaQYHx+Xc05btmwJvL66uloNDQ0ZlzU3NysWiymRSMg5p3g8rpaWFt29e3eFr0J0We8+ADxgPaiAsFBS+BfLJdv3osL660ZR4VcoKaIjzJKit7dX9+7dy8jY2NiaznPXrl05P1uhoqJCiURCyWRSe/bs0dWrVzU4OKjPPvss608tZmdn9Ze//EUbNmzQ9PR0xnEePHigkpISnTp1atnPl2tJ8ejRo2X/ZGXTpk0qKyvLuKytrU0dHR366aefdO3aNZ06dUqpVEolJSW6fPnysp8vqqx3HwAesB5UQFgoKfyJ9XLte1Fh/fWirPAvlBTRkf5Z9+N/+o+68x/+r7zkx//0H5d8R4rOzs5Vn2P6zzd27typ9+/fr3j7WCwm55x2796dcfnExITKy8uVTCb17t07SdLNmzcXCpWJiYmsrF+/PuOZD/Pz81m3efz48cK7bXx43eLi49dff13yBTIlqampSbFYbMX79+rVK1VUVCiVSmUVK8XAevcB4AHrQQWEhZLCj1gv1L4XFdZfJ4oKP0NJER1hlhT5eCZFb2+vnHNqbm7OeSFPJpNyzunnn3/Ouq6trU3OuYW3IT179uyShUo669atW/j49LMmcs3iUmYtz6RYyrFjx+Sc0+3bt3O6fZRY7z4APGA9qICwUFIUfqwXaZ/LCuuvC0WF36GkiI4wS4qPfXz09PTIOaeWlpZVPWOgoaFBzjk9efIk67qOjg455/TTTz9Jks6cOSPnnE6dOqXbt28H5v79+wsfPzMzk3X9pUuX5JzT999/n3Xdy5cvFz52La9JsZT+/v6M+1FMrHcfAB6wHlRAWCgpCjfWy7PvRYX114Oywv9QUkRHoZYU6Wc4bN++fdVvI3rw4EE553T9+vWs6/bt25fxDIRr167JOaczZ86s+VxX8+4etbW1q3p3j6W0t7cHvmVpMbDefQB4wHpQAWGhpCjMWC/MPpcV1vefoiI6oaSIjkIsKdKvQdHa2qrZ2dklbzc3N6eRkZGsPyFJv/bDtm3bMt6y89WrV0okEkqlUgslwfT0tKqrq1VZWanXr19nfY7379/r7du3y57vakqKEydOZL14p/S30mHxn28s9ZajIyMjSiaTqqqqWnWBEwXWuw8AD1gPKiAslBSFF+tF2cfCwvp+UlREM5QU0VFoJUX6zxiqqqo0NDSkS5cuZSUtXQ40NzdnHefQoUML1/X19amrq0vV1dUqKSnJ+hOJO3fuKJlMqqysTO3t7Tp37px+/PFHtbe3L7wt6XJWU1JMTU1p/fr1isViam9v1/nz5xdeJ2Pfvn0Zt7127Zrq6up05MgR9fT06Ny5czp8+LASiYTi8XjgM0WKgfXuA8AD1oMKCAslReHEejn2rbCwvj+UFdEPJUV0FFpJkV7Yl0vaciXF/Py8+vv7tWHDBpWWlqqsrEwtLS1L/nnEixcvdPDgQdXW1ioejyuVSmnDhg367rvv9Pz582XPeTUlhSS9fftWhw4dUnV1teLxuD777DOdPn1ac3NzGbd7/vy59uzZo/r6eiWTScXjcdXU1Gj//v2Br7dRLKx3HwAesB5UQFgoKQoj1gtxIaTYSohcYv24LPZQUkRHoZUUwEqsdx8AHrAeVEBYKClsY70EEz9i/Tgt1lBSRAclBXxjvfsA8ID1oALCQklhF+vFl/gV68drMYaSIjooKeAb690HgAesBxUQFkoKm1gvvMTPWD9uiy2UFNFBSQHfWO8+ADxgPaiAsFBSfNpYL7kkGrF+HBdLKCmig5ICvrHefQB4wHpQAWGhpPh0sV5sSbRi/XguhlBSRAclBXxjvfsA8ID1oALCQkkRfqyXWRLtWD++oxxKiuigpIBvrHcfAB6wHlRAWCgpwo31AkuKI9aP86iGkiI6KCngG+vdB4AHrAcVEBZKinBivbSS4ov1Yz6KoaSIDkoK+MZ69wHgAetBBYSFkiL/sV5WSXHH+vEfpVBSRAclBXxjvfsA8ID1oALCQkmR31gvqITMzFNU5CuUFNFBSQHfWO8+ADxgPaiAsFBS5CfWSykhQbH+vvA9lBTRQUkB31jvPgA8YD2ogLBQUnx8rBdRQpaL9feHz6GkiA5KCvjGevcB4AHrQQWEhZJi7bFePglZTay/X3wMJUV0UFLAN9a7DwAPWA8qICyUFGuL9cJJyFpi/X3jWygpoiP9s+7Sf/tHvfj//iEvufTf/pHHB0JjvfsA8ID1oALCQkmx+lgvmoR8TKy/f3wKJUV0UFLAN9a7DwAPWA8qICyUFLnHerkkJJ+x/n7yIZQU0UFJAd9Y7z4APGA9qICwUFLkFuuFkpAwYv19VeihpIgOSgr4xnr3AeAB60EFhIWSYvlYL5GEfIpYf58VaigpooOSAr6x3n0AeMB6UAFhoaRYOtaLIyGfMtbfb4UYSorooKSAb6x3HwAesB5UQFgoKYJjvTASYhHr77tCCyVFdFBSwDfWuw8AD1gPKiAslBSZsV4SCSmEWH8fFkooKaKDkgK+sd59AHjAelABYaGkoKAgJCjW34+FEEqK6KCkgG+sdx8AHrAeVEBYKCkoJwhZLtbfn5QUyAdKCvjGevcB4AHrQQWEpdhLCusFkBAfYv19SkmBj0VJAd9Y7z4APGA9qICwFHNJYb34EeJTrL9fKSnwMSgp4Bvr3QeAB6wHFRCWYiwprJc9QnyO9fcvJQXWgpICvrHefQB4wHpQAWEptpLCesEjJAqx/j6mpMBqUVLAN9a7DwAPWA8q4MyZM9qzZ4/q6+tVUlIi51xejlssJYX1UkdIFGP9fU1JgVwVWknx6tUrtbW1qbGxURUVFYrH41q3bp327dunJ0+e5Hycp0+fau/evaqrq1Npaalqa2u1c+dO3b9/f9XnlG9jY2Pat2+fKisrVVpaqg0bNmhwcDDrdtPT0/rmm2/0xRdfKJVKKR6Pq7a2Vv/2b/9W1N971rsPAA9YDyrAOaeKigr99a9/VXV1NSUFBQUhBRHr729KCuSi0EqKR48e6auvvtKxY8fU29ur8+fP6+TJk6qpqVE8HtetW7dWPMbDhw9VWlqqqqoqnTx5cuEYVVVVKikp0S+//LKWL1VevHr1StXV1UokEjp+/LgGBwe1Y8cOOed08uTJjNu+fftWmzZtUnt7u3p6ejQ0NKSuri6tX79ezjkNDQ0Z3Qtb1rsPAA9YDyrg5cuXC/+7ubmZkoJygpCCivX3OyUFllNoJcVSXr9+rVgspqamphVvu3//n4/Px48fZ1z+6NEjOee0c+fOvJ2XJN29e1fOOd29e3fF2x44cEDOOQ0PD2dc3traqlgsphcvXqx4jKmpKVVWVqq2tnbN5+wz690HgAesBxWwGCUFBQUhhRjr73tKCizFl5Jifn5eyWRSjY2NK962tbVVzjm9ffs24/Lx8XE557Rv376sj7l//75aW1sX/qyivr5eJ06c0MzMzIqfL9eSYnp6WolEQuvWrVvyGJ2dnSt+PklqaGhQWVlZTreNGuvdB4AHrAcVsBglBQUFIYUa6+9/SgoEKdSSYm5uThMTExofH9fDhw+1e/duOed0/PjxFT+2v79fzjlt3bpVDx480OvXr/XgwQO1tLSooqIi67UtLl26pFgspsbGRp0+fVoDAwM6dOiQYrGYmpubNTc3t+zny7WkePjw4ZIlyezsrEpKSrR9+/as6+bn5xe+Fk+ePNHhw4eXPE4xsN59AHjAelABi621pBgbG9O9e/cy0tvbG5mSwno5I4T8LdbzgJICi4VZUvT29mb9bB0bG8vpvG7cuCHn3EIqKirU0dGxYmEg/bnUd3R0KJlMZhzj888/18jISMZt3759q0Qioe3bt2t+fj7juitXrsg5p4sXLy77+XItKYaHh+WcU0dHR+D1lZWVgc8UefbsWcb9SCQS+uabb/THH38s+/miynr3AeAB60EFLLbWkqKzszPjF4DF8b2ksF7ICCHZsZ4LlBRIS5cUN+P/Re8S/zkvuRn/L0v+TM31zxkmJiZ0+/Zt3bhxQz09Pfriiy90+PDhnBfz/v5+bdmyRWfPntX169fV19enuro6VVdX6+nTpxm3c87p2rVrmpiYyEi6wFj8jIX0MzwW5/r163LO6fr161nXzc7OLnzsxYsXA18gM622tlb19fVZl09PT+v27dv6+eef1d/fr82bN2vfvn1Zf85SLKx3HwAesB5UwGI8k4JyghCfYj0nKCkQZknxMc+k+NDk5KRqa2u1devWFW/b0dGhWCyWUUZIf774Znl5uTZt2rRwWfpPJ5ZLS0vLwu3Tz5rINRcuXFj42LU+k+JDs7Oz+vLLL/X5559nlCDFwnr3AeAB60EFLMZrUlBQEOJbrOcFJUVxC7OkyPfj48iRI3LO6ffff1/yNnNzc4rH40su++m3+5yampIkffvtt3LOaWBgQLdv3w7Mo0ePFj5+cnIy6/ru7m4559Td3Z113Zs3bxY+dq2vSREk/acD/P8AACAASURBVDlv376d0+2jxHr3AeAB60EFLEZJQUFBiI+xnhuUFMXLp5Li4MGDcs7pt99+W/I26XfwaGhoCLx+27Ztcs5pYmJCktTT0yPnnC5fvrzm87J4d48ffvhBzjldvXp1TefsM+vdB4AHrAcVsFgxlxTWSxYh5ONjPUcoKYpPoZUU4+PjgZePjo4qlUqprKxs4W1Bp6enNTIykvFshfn5eVVWVqqkpET379/POMaLFy+USCQyXvfh9evXKi0tVUNDw8KzKxabm5vT5OTksueca0khSfv3//m9Mzw8nHF5a2urYrFYxgt7vn37Vu/fv886xrt371RfX6+SkpI1//mMz6x3HwAesB5UwMWLF9XV1aWuri7V1dXJObfw/7u6utZ8XJ9KCuvFihCSv1jPE0qK4lJoJUVbW5s2bNigjo4OnTt3Tv39/Tpy5IjKy8tVUlKS8U4b6XKgra0t4xgDAwML74Jx9OhRDQ4O6sSJE0qlUiopKdG1a9cybp9+C9Kqqip1dHRoYGBA3d3dOnTokKqqqjJeVyLIakqKsbExVVVVKZFI6MSJExocHFRra2vg26t2dnaqvr5eR48eVV9fn86dO6djx46pqqpq4XedYmS9+wDwgPWgAtLPnlgqa+VLSWG9UBFC8h/ruUJJUTwKraS4ceOGdu7cqbq6OiUSCcXjcdXV1Wn//v1Zf+axVEmRPs7WrVtVUVGhWCymVCqlHTt2LHlOjx490t69e1VdXa14PK7Kykpt3LhRJ06c0KtXr5Y959WUFNKfzwrZu3evUqmUSktL1djYqIGBgaxnTfz666/au3ev6uvrlUwmFY/HVVNTo127dunWrVs5fa4ost59AHjAelABYSn0ksJ6iSKEhB/rOUNJEX2FVlIAK7HefQB4wHpQAWEp5JLCenEihHy6WM8bSopoo6SAb6x3HwAesB5UQFgKsaSwXpYIIXaxnj+UFNFESQHfWO8+ADxgPaiAsBRaSWG9IBFC7GM9hygpooeSAr6x3n0AeMB6UAFhKaSSwnoxIoQUTqznESVFtFBSwDfWuw8AD1gPKiAshVBSWC9DhJDCDSUF8oGSAr6x3n0AeMB6UAFhsS4prBcgQkjhh5ICH4uSAr6x3n0AeMB6UAFhsSoprJceQoh/oaTAWlFSwDfWuw8AD1gPKiAsFiWF9aJDCPE3lBRYC0oK+MZ69wHgAetBBYTlU5cU1gsOIcT/UFJgtSgp4Bvr3QeAB6wHFRCWT1VSWC81hJDohZICuaKkgG+sdx8AHrAeVEBYPkVJYb3IEEKiG0oK5IKSAr6x3n0AeMB6UAFhCbOksF5eCCHFE0oKLIeSAr6x3n0AeMB6UAFhCauksF5YCCHFF0oKLIWSAr6x3n0AeMB6UAFhyXdJYb2kEEIIJQU+lP5Zd2vjf9fMtn/OS25t/O88PhAa690HgAesBxUQlnyWFNaLCSGEpENJgcUoKeAb690HgAesBxUQlnyVFNYLCSGEfBhKCqRRUsA31rsPAA9YDyogLB9bUlgvIYQQslIoKUBJAd9Y7z4APGA9qICwfExJYb14EEJIrqGkKG6UFPCN9e4DwAPWgwoIy1pKCutlgxBC1hpKiuJESQHfWO8+ADxgPaiAsKy2pLBeMAgh5GNDSVF8KCngG+vdB4AHrAcVEJbVlBTWiwUhhOQrlBTFhZICvrHefQB4wHpQAWHJpaSwXiYIISSsUFIUB0oK+MZ69wHgAetBBYRlpZLCeoEghJCwQ0kRfZQU8I317gPAA9aDCgjLUiWF9dJACCGfOpQU0UVJAd9Y7z4APGA9qICwBJUU1osCIYRYhZIimigp4Bvr3QeAB6wHFRCWD0sK6wWBEEKsQ0kRPZQU8I317gPAA9aDCgjLwi9ud743XwwIIaSQQkkRHZQU8I317gPAA9aDCggLJQUhhATn1p3vWUIjohBLCufcknn27FnW7UdHR/XNN9+otrZW8XhclZWVampq0i+//PKxXx4UIOvdB4AHrAcVEBZKCkIICQ4lRXQUaknR1NSkS5cuZeXdu3cZt/31119VVlam+vp6dXZ2amhoSD09PTp48KAGBwfz8SVCgbHefQB4wHpQAWGhpCCEkOBQUkRHoZYUbW1tK95ucnJSVVVVam5u1szMzJo+F/xjvfsA8ID1oALCQklBCCHBoaSIjkIuKebm5jQ1NbXk7U6fPi3nnB4/fixJmp2dpawoAta7DwAPWA8qICyUFIQQEhxKiugo1JIimUwqFovJOafy8nLt379fo6OjGbfbsmWLysrK9ODBA23evHnhdSvWr1+vCxcu5OPLgwJkvfsA8ID1oALCQklBCCHBoaSIjjBLit7eXt27dy8jY2NjK57Txo0bdebMGQ0PD+unn37S4cOHFYvFlEqlNDIysnC7iooKJRIJJZNJ7dmzR1evXtXg4KA+++wzOefU09MT5pcORqx3HwAesB5UQFgoKQghJDiUFNGR/ll3p+1/ar7zX/OSO23/c8l35+js7FzTed64cUPOOW3btm3hsvQzLXbv3p1x24mJCZWXlyuZTGa90Cb8Z737APCA9aACwkJJQQghwaGkiI4wS4q1PpNiKV9++aVisdjC604kk0k55/Tzzz9n3batrU3OOd6GNIKsdx8AHrAeVEBYKCkIISQ4lBTREWZJke/Hx+7du+Wc0+vXryVJDQ0Ncs7pyZMnWbft6OiQc04//fRTXs8B9qx3HwAesB5UQFgoKQghJDiUFNHhU0mxYcMGxeNxzc7OSpIOHjwo55yuX7+eddt9+/bJOafbt2/n9Rxgz3r3AeAB60EFhIWSghBCgkNJER2FVlJMTEwEXn7x4kU559Ta2rpw2a+//rrwOhXz8/MLl7969UqJREKpVIq3JI0g690HgAesBxUQFkoKQggJDiVFdBRaSfHdd99p06ZN6ujoUH9/v3788ceFP/Oorq7Wy5cvM25/6NAhOefU3Nysvr4+dXV1qbq6WiUlJfypR0RZ7z4APGA9qICwUFIQQkhwKCmio9BKiuvXr2v79u2qqalRaWmpSktLtX79eh09elRv377Nuv38/Lz6+/u1YcMGlZaWqqysTC0tLbpz504+vjwoQNa7DwAPWA8qICyUFIQQEhxKiugotJICWIn17gPAA9aDCggLJQUhhASHkiI6KCngG+vdB4AHrAcVEBZKCkIICQ4lRXRQUsA31rsPAA9YDyogLJQUhBASHEqK6KCkgG+sdx8AHrAeVEBYKCkIISQ4lBTRQUkB31jvPgA8YD2ogLBQUhBCSHAoKaKDkgK+sd59AHjAelABYaGkIISQ4FBSRAclBXxjvfsA8ID1oALCQklBCCHBoaSIDkoK+MZ69wHgAetBBYSFkoIQQoJDSREdlBTwjfXuA8AD1oMKCAslBSGEBIeSIjooKeAb690HgAesBxUQFkoKQggJDiVFdFBSwDfWuw8AD1gPKiAslBSEEBIcSorooKSAb6x3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UAFhoaQghJDgUFJER/pn3d0fUno//Je85O4PKR4fCI317gPAA9aDCggLJQUhhASHkiI6KCngG+vdB4AHrAcVEBZKCkIICQ4lRXRQUsA31rsPAA9YDyogLJQUhBASHEqK6KCkgG+sdx8AHrAeVEBYKCkIISQ4lBTRQUkB31jvPgA8YD2ogLBQUhBCSHAoKaKDkgK+sd59AHjAelABYaGkIISQ4FBSRAclBXxjvfsA8ID1oALCQklBCCHBoaSIDkoK+MZ69wHgAetBBYSFkoIQQoJDSREdlBTwjfXuA8AD1oMKCAslBSGEBIeSIjooKeAb690HgAesBxUQFkoKQggJDiVFdFBSwDfWuw8AD1gPKiAslBSEEBIcSorooKSAb6x3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UKG4vXjxQp2dndqyZYuqqqqUSCTU0NCg9vZ2vXnz5qOOTUlBCCHBoaSIjkItKYaHh7V582YlEglVVFSotbVVT58+zfnjnz59qr1796qurk6lpaWqra3Vzp07df/+/YzbzczMaHBwULt27dK6detUWlqqmpoabd++XXfu3Fnz+SM81rsPAA9YDyoUt46ODiUSCe3evVs//vijBgYG9PXXXysWiymVSmlkZGTNx6akIISQ4FBSREchlhTnz5+Xc06NjY3q6+tTd3e3amtrlUwm9eTJkxU//uHDhyotLVVVVZVOnjyp8+fP6+TJk6qqqlJJSYl++eWXhduOjIzIOadNmzaps7NT58+f16lTp1RdXS3nnM6ePbum+4DwWO8+ADxgPahQ3H777TdNTk5mXT4wMCDnnPbs2bPmY1NSEEJIcCgpoqPQSorJyUmVl5erpqZGU1NTC5ePjY0pmUyqqalpxWPs379fzjk9fvw44/JHjx7JOaedO3cuXDYxMaFHjx5lHePNmzdKpVKKx+N69+7dqu8HwmO9+wDwgPWgAoJMTU3JOaf169ev+RiUFIQQEhxKiugotJLiwoULcs7p1KlTWde1tbXJOafR0dFlj9Ha2irnnN6+fZtx+fj4uJxz2rdvX07nsmvXLjnn9ODBg9zvAEJnvfsA8ID1oAKCPH/+XM65nP6Ly1IoKQghJDiUFNFRaCXFt99+++fP3lu3sq5LP0vyypUryx6jv79fzjlt3bpVDx480OvXr/XgwQO1tLSooqIipz8ZkaRNmzbJOaeXL1+u+n4gPNa7DwAPWA8qIEj6v35cuHAhp9uPjY3p3r17Gent7aWkIISQgFBSREeYJUVvb2/Wz9axsbFlzyf9LIjnz59nXXfz5k0559TT07PsMebn59XR0aFkMinn3EI+//zznF+r6saNG3LOqbm5Oafb49Ox3n0AeMB6UAEfOn369MLfnL5//z6nj+ns7Mz4RWZxKCkIISQzlBTRsVBSXNio98+25SV3L2xc8mdqZ2fnsufT0tKy5LMX7ty5I+ecurq6Vrxf/f392rJli86ePavr16+rr69PdXV1qq6uXvFdQp4/f66KigpVVFTwLIoCZL37APCA9aACFks/+6G5uVnT09M5fxzPpCCEkNxDSREdYZYUVs+k6OjoUCwWyyojXr9+rfLycm3atGnJjx0ZGVF1dbXKy8t5LYoCZb37APCA9aAC0np6euScU0tLy6oKiqXwmhSEEBIcSoroCLOksHhNirm5OcXjcTU2NgZev2PHDjnnMt45JO358+eqrq5WRUWFHj58uOpzx6dhvfsA8ID1oAIk6ezZs3LOafv27ZqZmcnLMSkpCCEkOJQU0VFoJcXQ0NBHvbtH+h08GhoaAq/ftm2bnHOamJjIuPzZs2eqqqpSKpUKfEtSFA7r3QeAB6wHFZB+DYrW1lbNzs7m7biUFIQQEhxKiugotJJicnJSZWVlqqmpyXi2w9jYmJLJpL766quFy6anpzUyMqI3b94sXDY/P6/KykqVlJTo/v37Gcd+8eKFEomE6uvrMy5/+vSpKisrVVlZmfM7f8CO9e4DwAPWgwrFLf02Y1VVVRoaGtKlS5eyslaUFIQQEhxKiugotJJC+tufdTQ2Nqqvr0/d3d2qq6tTMpnU48ePF2539+5dOefU1tYW+PGJREJHjx7V4OCgTpw4oVQqpZKSEl27dm3htmNjY0ql/nw3kuPHjwf+HsGLZxYW690HgAesBxWKW/qpn8tlrSgpCCEkOJQU0VGIJYUkXb16VZs2bVIikVB5ebl27NiR9SyHpUoK6c+3EN26dasqKioUi8WUSqW0Y8eOrHNKH2O55Pp25vg0rHcfAB6wHlRAWCgpCCEkOJQU0VGoJQWwFOvdB4AHrAcVEBZKCkIICQ4lRXRQUsA31rsPAA9YDyogLJQUhBASHEqK6KCkgG+sdx8AHrAeVEBYKCkIISQ4lBTRQUkB31jvPgA8YD2ogLBQUhBCSHAoKaKDkgK+sd59AHjAelABYaGkIISQ4FBSRAclBXxjvfsA8ID1oALCQklBCCHBoaSIDkoK+MZ69wHgAetBBYSFkoIQQoJDSREdlBTwjfXuA8AD1oMKCAslBSGEBIeSIjooKeAb690HgAesBxUQFkoKQggJDiVFdFBSwDfWuw8AD1gPKiAslBSEEBIcSorooKSAb6x3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UAFhoaQghJDgUFJEByUFfGO9+wDwgPWgAsJCSUEIIcGhpIiO9M+6e7f2SzMn8pJ7t/bz+EBorHcfAB6wHlRAWCgpCCEkOJQU0UFJAd9Y7z4APGA9qICwUFIQQkhwKCmig5ICvrHefQB4wHpQAWGhpCCEkOBQUkQHJQV8Y737APCA9aACwkJJQQghwaGkiA5KCvjGevcB4AHrQQWEhZKCEEKCQ0kRHZQU8I317gPAA9aDCggLJQUhhASHkiI6KCngG+vdB4AHrAcVEBZKCkIICQ4lRXRQUsA31rsPAA9YDyogLJQUhBASHEqK6KCkgG+sdx8AHrAeVEBYKCkIISQ4lBTRQUkB31jvPgA8YD2ogLBQUhBCSHAoKaKDkgK+sd59AHjAelABYaGkIISQ4FBSRAclBXxjvfsA8ID1oALCQklBCCHBoaSIDkoK+MZ69wHgAetBBYSFkoIQQoJDSREdlBTwjfXuA8AD1oMKCAslBSGEBIeSIjoKtaQYHh7W5s2blUgkVFFRodbWVj19+jSP9xy+st59AHjAelABYaGkIISQ4FBSREchlhTnz5+Xc06NjY3q6+tTd3e3amtrlUwm9eTJkzx/BeAb690HgAesBxX8MDQ0lHXZ3NycwZnkjpKCEEKCQ0kRHYVWUkxOTqq8vFw1NTWamppauHxsbEzJZFJNTU35vPvwkPXuA8AD1oMKfnj06JG++eabjGLi5MmT6uzsNDyr5VFSEEJIcCgpoqPQSooLFy7IOadTp05lXdfW1ibnnEZHR/Nx1+Ep690HgAesBxX88P79e3399dc6duyY5ufnFy5va2vTDz/8YHhmS6OkIISQ4FBSREehlRTffvvtnz97b93Kum5gYEDOOV25ciUfdx2est59AHjAelDBD8eOHdMPP/ygsbExnThxYuHyK1euKJVK2Z3YMigpCCEkOJQU0RFmSdHb26t79+5lZGxsbNnzaW1tlXNOz58/z7ru5s2bcs6pp6cnrC8HPGC9+wDwgPWggh+SyaSuX78u6c8//Uj/gtHb21uwf19KSUEIIcGhpIiOMH7WpR8fQVnpzzxbWlrknNPLly+zrrtz546cc+rq6grrywEPWO8+ADxgPajgh4MHD+rMmTML///mzZu6cOGCjh49qrdv3xqe2dIoKQghJDiUFNERZknBMykQBuvdB4AHrAcV/DA7O6szZ85ocnJy4bKrV69q+/bthme1PEoKQggJDiVFdIRZUvCaFAiD9e4DwAPWgwp+++WXXwJfwbsQUFIQQkhwKCmio9BKiqGhId7dA8uy3n0AeMB6UMF/ExMT1qcQiJKCEEKCQ0kRHYVWUkxOTqqsrEw1NTWamppauHxsbEzJZFJfffVVPu8+PGS9+wDwgPWgAsJCSUEIIcGhpIiOQisppL/9WUdjY6P6+vrU3d2turo6JZNJPX78OM9fAfjGevcB4AHrQQWEhZKCEEKCQ0kRHYVYUkh/vm7Vpk2blEgkVF5erh07dujJkyd5vOfwlfXuA8AD1oMKCAslBSGEBIeSIjoKtaQAlmK9+wDwgPWgAsJCSUEIIcFhCY0OSgr4xnr3AeAB60EFhIWSghBCgsMSGh2UFPCN9e4DwAPWgwoICyUFIYQEhyU0Oigp4Bvr3QeAB6wHFRAWSgpCCAkOS2h0UFLAN9a7DwAPWA8qICyUFIQQEhyW0OigpIBvrHcfAB6wHlRAWCgpCCEkOCyh0UFJAd9Y7z4APGA9qICwUFIQQkhwWEKjg5ICvrHefQB4wHpQAWGhpCCEkOCwhEYHJQV8Y737APCA9aACwkJJQQghwWEJjQ5KCvjGevcB4AHrQQWEhZKCEEKCwxIaHZQU8I317gPAA9aDCggLJQUhhASHJTQ6KCngG+vdB4AHrAcVEBZKCkIICQ5LaHRQUsA31rsPAA9YDyogLJQUhBASHJbQ6KCkgG+sdx8AHrAeVEBYKCkIISQ4LKHRkf5Zd+HmT3r27ve85MLNn3h8IDTWuw8AD1gPKiAslBSEEBIcSorooKSAb6x3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UAFhoaQghJDgUFJEByUFfGO9+wDwgPWgAsJCSUEIIcGhpIgOSgr4xnr3AeAB60EFhIWSghBCgkNJER2UFPCN9e4DwAPWgwoICyUFIYQEh5IiOigp4Bvr3QeAB6wHFRAWSgpCCAkOJUV0UFLAN9a7DwAPWA8qICyUFIQQEhxKiuigpIBvrHcfAB6wHlRAWCgpCCEkOJQU0UFJAd9Y7z4APGA9qICwUFIQQkhwKCmig5ICvrHefQB4wHpQAWGhpCCEkOBQUkQHJQV8Y737APCA9aACwkJJQQghwaGkiA5KCvjGevcB4AHrQYXi9urVK7W1tamxsVEVFRWKx+Nat26d9u3bpydPnnzUsSkpCCEkOJQU0eFTSTE9Pa2Ojg7V1dUpHo+rrq5OHR0dmp6ezvkY8/PzunjxorZs2aJUKqVkMqmGhgYdP35cb9++zbjtixcv1NnZqS1btqiqqkqJREINDQ1qb2/Xmzdv8nrfkDvr3QeAB6wHFYrbo0eP9NVXX+nYsWPq7e3V+fPndfLkSdXU1Cgej+vWrVtrPjYlBSGEBIeSIjp8KSnm5+fV3Nws55wOHDigwcFBHTlyRLFYTM3NzZqfn8/pON99952cc2pqalJvb6/OnTunAwcOqKSkRPX19RmFR0dHhxKJhHbv3q0ff/xRAwMD+vrrrxWLxZRKpTQyMpK3+4fcWe8+ADxgPaiAIK9fv1YsFlNTU9Oaj0FJQQghwaGkiA5fSoqhoSE559Te3p5xeXd3t5xzGhoaWvEY09PTisfj+uKLL7JKjSNHjsg5p+vXry9c9ttvv2lycjLrOAMDA3LOac+ePWu8N/gY1rsPAA9YDyogyPz8vJLJpBobG9d8DEoKQggJDiVFdPhSUqSfRTE2NpZx+czMjBKJhJqbm1c8xsTEhJxz2r59e9Z1Z86c+fNnfg7PwJyampJzTuvXr8/9DiBvrHcfAB6wHlSAJM3NzWliYkLj4+N6+PChdu/eLeecjh8/vuZjUlIQQkhwKCmiw4eS4v3790omk/rLX/4SeP2WLVuUTCb1/v37FY+1ceNGlZSU6PTp03rx4oXGxsb0008/KZVKqaWlJac/G3n+/PnCn4zg07PefQB4wHpQAZJ048YNOecWUlFRoY6ODs3NzeX08WNjY7p3715Gent7KSkIISQglBTREWZJ0dvbm/Wz9cNnQuQi/QyITZs2BV6/Z88eOecC/zTjQ6OjowvPylicQ4cO5fw7w65du/78ml24sKr7gfyw3n0AeMB6UAHSn7/A3L59Wzdu3FBPT4+++OILHT58WH/88UdOH9/Z2Zn1C0s6lBSEEJIZSoroCLOkCEpnZ+eqz/HVq1fLPnPhwIEDcs7p1atXKx7r7du3OnjwoLZv364LFy7o2rVr+u677xSPx7Vr164Vi4rTp0/LOaedO3fm9MwN5J/17gPAA9aDCggyOTmp2tpabd26Nafb80wKQgjJPZQU0ZEuKU5dvqGrLyfyklOXb6zpmRTz8/MaHx/PyOTkZN6eSTE9Pa36+npt3rw56886+vv75ZxTf3//kh+f/r2gubl5VW97ivyy3n0AeMB6UAFLSb9S9++//76mj+c1KQghJDiUFNERZkmx2sfH6Oho1jMvmpub9f79eyUSiY9+TYqLFy/KOafu7u6s69JFyK5duwI/tqenR845tbS0UFAYs959AHjAelABSzl48KCcc/rtt9/W9PGUFIQQEhxKiugopJJiZmZGt2/fzsijR48kSU1NTR/97h7pd/A4e/Zs1nXj4+Nyzqm1tTXrurNnzy68K8jMzMyq7hPyz3r3AeAB60GF4jY+Ph54+ejoqFKplMrKytb8CwUlBSGEBIeSIjoKqaRYzuDgoJxzam9vz7g8/QyH8+fPZ1z+5s0bjYyMZDzrIf0i242NjZqdnc24fVdXl5xz6urqyrg8/RoUra2tWR8DG9a7DwAPWA8qFLe2tjZt2LBBHR0dOnfunPr7+3XkyBGVl5erpKREFy9eXPOxKSkIISQ4lBTR4UtJMT8/v/Bsira2Np0/f17t7e2KxWJqamrKeo2JtrY2Oed09+7djGN89dVXcs7p888/19mzZ3Xu3Dnt3btXzjmtW7cu43Ut0q9TUVVVpaGhIV26dCkr+PSsdx8AHrAeVChuN27c0M6dO1VXV6dEIqF4PK66ujrt379/zX/mkUZJQQghwaGkiA5fSgpJ+uOPP/T999+rtrZW8XhctbW1+v777wPfySuopJD+fPHMU6dOqbGxUaWlpYrH41q3bp3a29s1MTEReIzlgk/PevcB4AHrQQWEhZKCEEKCQ0kRHT6VFIBESQEgB9aDCggLJQUhhASHkiI6KCngG+vdB4AHrAcVEBZKCkIICQ4lRXRQUsA31rsPAA9YDyogLJQUhBASHEqK6KCkgG+sdx8AHrAeVEBYKCkIISQ4lBTRQUkB31jvPgA8YD2ogLBQUhBCSHAoKaKDkgK+sd59AHjAelABYaGkIISQ4FBSRAclBXxjvfsA8ID1oALCQklBCCHBoaSIDkoK+MZ69wHgAetBBYSFkoIQQoJDSREdlBTwjfXuA8AD1oMKFzOpzAAAIABJREFUCAslBSGEBIeSIjooKeAb690HgAesBxUQFkoKQggJDiVFdFBSwDfWuw8AD1gPKiAslBSEEBIcSorooKSAb6x3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UAFhoaQghJDgUFJER/pn3f7+yzp+/2Vesr//Mo8PhMZ69wHgAetBBYSFkoIQQoJDSREdlBTwjfXuA8AD1oMKCAslBSGEBIeSIjooKeAb690HgAesBxUQFkoKQggJDiVFdFBSwDfWuw8AD1gPKiAslBSEEBIcSorooKSAb6x3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UAFhoaQghJDgUFJEByUFfGO9+wDwgPWgAsJCSUEIIcGhpIgOSgr4xnr3AeAB60EFhIWSghBCgkNJER2UFPCN9e4DwAPWgwoICyUFIYQEh5IiOigp4Bvr3QeAB6wHFRAWSgpCCAkOJUV0UFLAN9a7DwAPWA8qICyUFIQQEhxKiuigpIBvrHcfAB6wHlRAWCgpCCEkOJQU0UFJAd9Y7z4APGA9qICwUFIQQkhwKCmiw5eS4sKFC3LOBebLL79c8uOuX7+urVu3qqKiQqWlpaqrq9OePXs0NTWVt3PDp2W9+wDwgPWgAsJCSUEIIcGhpIgO30qKEydO6NKlSxn5+eefAz/mu+++k3NOO3bsUG9vr86fP68ffvhB27dv1/j4eN7ODZ+W9e4DwAPWgwoICyUFIYQEh5IiOnwrKe7evZvT7S9duiTnnM6dO5e3c0BhsN59AHjAelABYaGkIISQ4FBSRIePJcUff/yh2dnZZW//2WefacOGDQv/f2pqSvPz83k7H9ix3n0AeMB6UAFhoaQghJDgUFJEh28lRXl5+cJrUdTX1+vs2bOam5vLuO2LFy/knNORI0d09uxZVVdXyzmneDyuHTt2aGRkJG/nhU/PevcB4AHrQQWEhZKCEEKCQ0kRHWGWFL29vbp3715GxsbG1nSeV65c0Z49ezQ4OKgbN25oYGBAW7ZskXNOra2tGc+SuH79upxzqqqqUjKZVFdXl65du6YTJ04oHo+roqJCL1++zNeXEJ+Y9e4DwAPWgwoICyUFIYQEh5IiOsIsKYLS2dmZt3N///69du/eLeecLl++vHB5+vUonHO6efNmxscMDg7KOacDBw7k7TzwaVnvPgA8YD2ogLBQUhBCSHAoKaIj/bNu4/EBbbv4W16y8fjAmp5JMT8/r/Hx8YxMTk4ue/7Pnj37s2TZv3/hsuHh4YVnUnxobm5OsVgs8Dr4wXr3AeAB60EFhIWSghBCgkNJER1hlhSrfXyMjo5mPfOiubl52Y+Znp6Wc05bt25duOzhw4dyzmW8cOZiVVVVisfjqzo3FA7r3QeAB6wHFRAWSgpCCAkOJUV0FFJJMTMzo9u3b2fk0aNHy37M48ePs/58Y2ZmRslkUqlUSu/fv8/6HCUlJaqpqVnVuaFwWO8+ADxgPaiAsFBSEEJIcCgpoqOQSorlTExMZF02Nzenbdu2yTmn4eHhjOsOHjwo55wuXbqUcXl3d7ecczp8+HDezg2flvXuA8AD1oMKCAslBSGEBIeSIjp8KSmqq6u1Z88e/fDDDxocHNSpU6fU0NAg55z27t2b9YyJ8fFx1dXVKR6P68iRIzp37pwOHjyokpIS1dXV6e3bt3k7N3xa1rsPAA9YDyogLJQUhBASHEqK6PClpDh27Jg2btyoVCqlWCym8vJyNTU1aWhoKKugSBsfH9ehQ4dUXV2tWCymmpoaffvttxQUnrPefQB4wHpQAWGhpCCEkOBQUkSHLyUFkGa9+wDwgPWgAsJCSUEIIcGhpIgOSgr4xnr3AeAB60EFhIWSghBCgkNJER2UFPCN9e4DwAPWgwoICyUFIYQEh5IiOigp4Bvr3QeAB6wHFRAWSgpCCAkOJUV0UFLAN9a7DwAPWA8qICyUFIQQEhxKiuigpIBvrHcfAB6wHlRAWCgpCCEkOJQU0UFJAd9Y7z4APGA9qICwUFIQQkhwKCmig5ICvrHefQB4wHpQAWGhpCCEkOBQUkQHJQV8Y737APCA9aACwkJJQQghwaGkiA5KCvjGevcB4AHrQQWEhZKCEEKCQ0kRHZQU8I317gPAA9aDCggLJQUhhASHkiI6KCngG+vdB4AHrAcVEBZKCkIICQ4lRXRQUsA31rsPAA9YDyogLJQUhBASHEqK6KCkgG+sdx8AHrAeVEBYKCkIISQ4lBTRkf5ZV7b/jFLHb+YlZfvP8PhAaKx3HwAesB5UQFgoKQghJDiUFNFBSQHfWO8+ADxgPaiAsFBSEEJIcCgpooOSAr6x3n0AeMB6UAFhoaQghJDgUFJEByUFfGO9+wDwgPWgAsJCSUEIIcGhpIgOSgr4xnr3AeAB60EFhIWSghBCgkNJER2UFPCN9e4DwAPWgwoICyUFIYQEh5IiOigp4Bvr3QeAB6wHFRAWSgpCCAkOJUV0UFLAN9a7DwAPWA8qICyUFIQQEhxKiuigpIBvrHcfAB6wHlRAWCgpCCEkOJQU0UFJAd9Y7z4APGA9qICwUFIQQkhwKCmig5ICvrHefQB4wHpQAWGhpCCEkOBQUkQHJQV8Y737APCA9aACwkJJQQghwaGkiA5KCvjGevcB4AHrQQWEhZKCEEKCQ0kRHZQU8I317gPAA9aDCvjQ/Py8Nm/eLOecmpub13wcSgpCCAkOJUV0+FJSDA8Pa8eOHaqtrVUikVB5ebkaGxvV1dWld+/e5Xyc+fl5Xbx4UVu2bFEqlVIymVRDQ4OOHz+ut2/f5u1812p4eFibN29WIpFQRUWFWltb9fTp06zb3b17V7t27dK6deuUTCYX7sexY8c0Pj5ucOafjvXuA8AD1oMK+FBPT4+SySQlBSGEhBRKiujwpaQ4efKkdu3apR9++EGDg4Pq7+9XW1ubYrGYPv/8c01PT+d0nO+++07OOTU1Nam3t1fnzp3TgQMHVFJSovr6+pyPE4bz58/LOafGxkb19fWpu7tbtbW1SiaTevLkScZtz507px07dqizs1Pnzp3TwMCADh8+rEQioerqar1+/droXoTPevcB4AHrQQUs9vLlSyUSCfX29lJSEEJISKGkiA5fSoqlnDnz5+caGhpa8bbT09OKx+P64osvND8/n3HdkSNH5JzT9evX83p+bW1tqqurW/F2k5OTKi8vV01NjaamphYuHxsbUzKZVFNTU06f7/Lly3LOqbOzc83nXOisdx8AHrAeVMBiLS0t2rRpk+bn5ykpCCEkpFBSRIfvJcWVK1fknFNPT8+Kt52YmJBzTtu3b8+6Ll123Lp1K+Pyubk59fT06IsvvlAikVAymdRXX32lGzdu5HR+uZYUFy5ckHNOp06dCjyGc06jo6MrHufhw4dyzqm9vT2n8/OR9e4DwAPWgwpIGxwcVCwWW3hKJCUFIYSEE0qK6PCtpJiamtLExIRGR0c1PDysuro6xWIxPXv2LKeP37hxo0pK/v/27qQ5yjNNF/CPOutzNr3rXvSme3s2vehf8GpKxBRCYFtgM4MZGgyusjFgbDd2CQRIRsyDmYsxyrQNDS4QICPEIPGchY/UyEqBACWv39R1RdwR5cxU6lMG9aDn5ssvG2LPnj3xyy+/RF9fX5w8eTJmzZoVq1evHnOGxfDwcKxduzYaGhpi8+bN0dvbGz09PbF8+fJIKcWhQ4de+f0mW1Js27atakkSEXHo0KFIKcWpU6fG3ffkyZN4+PBh3Lt3Ly5evBiLFi2KlFJcvHjxld+zVLl3H6AAuQcVRETcv38/WltbY+fOnaO3vU5J0dfXF9euXRuTkbeMKClERMZGSVE/allS7N+/f9zfrX19fW91vJ988kmklEazcOHC+Otf/zrpr797926sXLlyzHOklGLr1q0xNDQ05rG9vb2RUoqTJ0+Ouf358+exbt26aG1tjcePH7/0+022pFi/fn2klOLWrVvj7rtw4cKEZ4t88803Y36O+fPnx/Hjx1/5/UqWe/cBCpB7UEFExIYNG2L+/Pnx9OnT0dtep6To7Owc9wvLSJQUIiJjo6SoH7UsKarlba+VcPPmzbh8+XL88MMP8eWXX8aHH34YJ06cmPTX//rrr7Fly5ZYu3ZtHDt2LM6ePRtfffVVNDU1xcaNG8cUFYsXL462trZ4+PDhuBw9enTcmQ+PHz8e97jNmzfHvHnzqj7Hi1avXh0ppbhz5864Y75y5UqklKKrq2vcfb/88ktcvnw5zpw5E99++20sWrQoenp64vnz55N+TUqTe/cBCpB7UMHIRaIuX7485nZnUoiI1CZKivoxUlL8+0ffxL+tPjQl+fePvnmjMymGh4ejv79/TAYGBl56/GfOnImU0qSKiidPnsSCBQti6dKl4y6ceeDAgUgpxYEDB0Zva2lpmbBsGcmLZy2MXDtisnnRm55J8XvXr1+PxsbGqoVGvci9+wAFyD2omN6ePXsWs2fPjjVr1sTf//73MUkpxZIlS+Lvf//7G31muGtSiIhUj5KiftSypHjdPx93794dt8i/6h8bnj9/HjNmzIjly5e/8vmPHz8eKaXo7u4ed9/IRTU3btw4eltzc3MsWLAgLl++PGEePHgw+vhbt26Nu3/NmjUxZ86cql/7oje9JkU1HR0d0dbWNqnHlij37gMUIPegYnp79OjRpP61YsOGDa/93EoKEZHqUVLUjz9SSfH06dNxi/xPP/300q8ZGhqK5ubm6OjoeOXzj3yCx759+8bd19/fHymlWL9+/ehtixYtihkzZoy7VsXrmOw1KUbePvK2n+4RETF//vxoaWl57WMtRe7dByhA7kHF9DY0NBSnT5+umpRSdHR0xOnTp+PHH3987edWUoiIVI+Son78kUqKl5nojMiRi1t+8cUXY25/8OBB3L59O548eTJ62/nz50cvtvns2bMxj+/q6hp33Yeenp5IKcW33377Wsf0osmWFAMDAzFjxoxoa2uLwcHB0dv7+vpGP/Z0Mt/73LlzkVKKjz/++JXfs1S5dx+gALkHFUzER5CKiNQmSor6UUpJMXJhy927d8eRI0di3759sXbt2kgpRXt7e9y/f3/M40fOPrh69erobcPDw6MfH9rR0RH79u2LgwcPxubNm0c/GePFa2AMDQ2NXitixYoVsWfPnjh8+HDs2rUr1q9fH42Nja887smWFBH/87aOhQsXRm9vb3R3d0d7e3tUKpX4+eefxzx2/vz5sWbNmujs7IzDhw9HT09PbNq0KRobG2PWrFlx8+bNSX3PEuXefYAC5B5UMBElhYhIbaKkqB+llBTffvttLFu2LGbPnh2NjY1RqVTiww8/jM7Oznj06NG4x1crKSJ+u3jmrl27YuHChdHc3BxNTU0xf/782LFjx7hP3Ij4rdg4fPhwLFu2LGbMmBHNzc0xb968WLduXRw8ePCVx/06JUVExOnTp2PJkiXR0tISra2tsW7durhx48a4x3V3d8eqVati7ty50dTUFC0tLdHR0RFff/31uMKm3uTefYAC5B5UUCtKChGR6lFS1I9SSgoYkXv3AQqQe1BBrSgpRESqR0lRP5QUlCb37gMUIPegglpRUoiIVI+Son4oKShN7t0HKEDuQQW1oqQQEakeJUX9UFJQmty7D1CA3IMKakVJISJSPUqK+qGkoDS5dx+gALkHFdSKkkJEpHqUFPVDSUFpcu8+QAFyDyqoFSWFiEj1KCnqh5KC0uTefYAC5B5UUCtKChGR6lFS1A8lBaXJvfsABcg9qKBWlBQiItWjpKgfSgpKk3v3AQqQe1BBrSgpRESqR0lRP5QUlCb37gMUIPegglpRUoiIVI+Son4oKShN7t0HKEDuQQW1oqQQEakeJUX9UFJQmty7D1CA3IMKakVJISJSPUqK+qGkoDS5dx+gALkHFdSKkkJEpHqUFPVDSUFpcu8+QAFyDyqoFSWFiEj1KCnqx8jfdf9a+XP8U+tfpiT/WvmzPx/UTO7dByhA7kEFtaKkEBGpHiVF/VBSUJrcuw9QgNyDCmpFSSEiUj1KivqhpKA0uXcfoAC5BxXUipJCRKR6lBT1Q0lBaXLvPkABcg8qqBUlhYhI9Sgp6oeSgtLk3n2AAuQeVFArSgoRkepRUtQPJQWlyb37AAXIPaigVpQUIiLVo6SoH0oKSpN79wEKkHtQQa0oKUREqkdJUT+UFJQm9+4DFCD3oIJaUVKIiFSPkqJ+KCkoTe7dByhA7kEFtaKkEBGpHiVF/VBSUJrcuw9QgNyDCmpFSSEiUj1KivqhpKA0uXcfoAC5BxXUipJCRKR6lBT1Q0lBaXLvPkABcg8qqBUlhYhI9Sgp6oeSgtLk3n2AAuQeVFArSgoRkepRUtQPJQWlyb37AAXIPaigVpQUIiLVo6SoH6WUFOfPn48tW7ZER0dHVCqVmD17dixdujSOHj0aQ0NDr/18586di48//jhmzpwZzc3N0d7eHps2bYrBwcEpO+Y3ce3atVi1alXMmDEjKpVKrFq1qurrePfu3UgpTZjHjx9nOPp3I/fuAxQg96CCWlFSiIhUj5KifpRSUsyZMyfa29vjq6++isOHD0d3d3csXrw4Ukqxbt26eP78+aSf66uvvhr9uv3798eRI0di9+7dsXbt2ujv75+yY35dFy9ejMbGxmhvb4/u7u7o7e2NhQsXRmNjY1y8eHHMY0dKio0bN8aJEyfG5U2Km1Lk3n2AAuQeVFArSgoRkepRUtSPUkqKy5cvjysihoeHY/ny5ZFSigsXLkzqeU6cOBEppTh48OCUHdvLdHZ2RkrplY8bHh6O9vb2qFQq0dfXN3r7o0ePoq2tLdrb22N4eHj09pGSorOzsybH/UeWe/cBCpB7UEGtKClERKpHSVE/SikpJrJ///5IKcXevXsn9fj33nsvFi1aNPrfg4ODY5b/ao4dOxbLli2LSqUSLS0t8dFHH8WxY8cm9f0mW1JcvXo1Ukrx+eefT/gcV69eHb3txZLi6dOndf32jt/LvfsABcg9qKBWlBQiItWjpKgfpZcUO3fujJRSHD169JWP/eWXXyKlFF9++WXs27cv5s6dGymlaGpqinXr1sXt27fHfc3WrVtH3xrS09MTvb29sW7dukgpxXfffffK7znZkmLv3r2RUorDhw+Pu+/SpUuRUop9+/aN3jZSUlQqlWhoaIiUUsyePTu2bdsWDx8+fOX3K1nu3QcoQO5BBbWipBARqR4lRf2oZUmxf//+uHbt2pi8+FaGt3Xv3r1obW2NmTNnxsDAwCsff+7cuUgpxZw5c6JSqURXV1ecPXs2vvvuu2hqaoqZM2fGnTt3Rh9//vz5SCnFnj17xj3X9u3bo7GxMe7evfvS7znZkuLLL7+MlFL89a9/HXffrVu3IqUUO3bsGL2tr68vVq5cGd9//32cO3cujh8/Hp9++mk0NDTE/Pnz49dff33l9yxV7t0HKEDuQQW1oqQQEakeJUX9qGVJUS1TdQ2Fx48fx0cffRQNDQ1x9uzZSX3NyPUoql3D4vDhw5FSij//+c+jt33yySfR1NQU9+7di4cPH47JyNkNL5758OTJk3GP+8///O3/K7+//eHDh2PeZrJly5ZIKcWVK1fGHfedO3cipRRbtmx55c/Y29sbKaXYunXrpF6TEuXefYAC5B5UUCtKChGR6lFS1I+Rv+v+6d/WxP/5v59NSf7p39a80ZkUw8PD0d/fPybVzpB4/PhxrFixIhoaGuLAgQOT/lnPnDkzeibF7w0NDUVjY+OY+zo6Ol76MZ8ppdi9e/fo40fOmphsXjwL43XPpJjI8+fPY/bs2dHW1jbp16U0uXcfoAC5BxXUipJCRKR6lBT1o5Ylxev++Ri5zsKLWbly5ZjHDA4OxvLly6OhoeG1P6Hj+vXrkVIac+HMF82ZMyeamppG//uDDz6ISqUSly9fnjAvvj3kzp074+7/859/O6uk2tc+ffp09Gtf95oUL7N48eIxP0e9yb37AAXIPaigVpQUIiLVo6SoH3+kkuLp06fjFvmffvpp9P5Hjx7F0qVLo6GhYVIXyqz2/JVKJWbNmjXu40yfPn0aDQ0NY85A+I//+I9IKUV/f/9rf68Rk70mxZUrV17r0z0mMjw8HDNnzox58+a90fGWIPfuAxQg96CCWlFSiIhUj5KifvyRSoqXefToUSxZsiQaGxvj+PHjr3z8w4cP4/bt2/Ho0aMxt49c++HEiRNjbu/u7o6UUmzfvn30trNnz45ep6Lax5Q+evQonj179tLjmGxJMTw8HO3t7VGpVOLevXujtw8ODkZbW1u0t7ePOYaJPsFj9+7dk35rSKly7z5AAXIPKqgVJYWISPUoKepHKSXF4sWLI6UUGzZsiBMnTozLjz/+OObxI+XAsWPHxtze398f7e3t0dTUFF9++WUcPHgwtmzZEg0NDdHe3j7uUzG2bds2+haRXbt2xeHDh6Orqys2bdoUzc3NU/bpHhERFy5ciMbGxmhvbx/9uNOFCxdGY2PjuAt9bty4MVatWhXfffddHDp0KPbt2xcff/xxpJSio6NjUp92Uqrcuw9QgNyDCmpFSSEiUj1KivpRSknxqotQfvbZZ2MeP1FJEfFbUbF169aYO3duNDY2RltbW2zbtm3Cj+08ffp0rF69OmbOnBlNTU3R1tYWq1evjp6enjHXlajmdUqKiN/e9rFy5cqoVCpRqVRi5cqVVT/x4+jRo7Fq1aqYO3duNDU1RUtLy2iR8vjx40l/vxLl3n2AAuQeVFArSgoRkepRUtSPUkoKGJF79wEKkHtQQa0oKUREqkdJUT+UFJQm9+4DFCD3oIJaUVKIiFSPkqJ+KCkoTe7dByhA7kEFtaKkEBGpHiVF/VBSUJrcuw9QgNyDCmpFSSEiUj1KivqhpKA0uXcfoAC5BxXUipJCRKR6lBT1Q0lBaXLvPkABcg8qqBUlhYhI9Sgp6oeSgtLk3n2AAuQeVFArSgoRkepRUtQPJQWlyb37AAXIPaigVpQUIiLVo6SoH0oKSpN79wEKkHtQQa0oKUREqkdJUT+UFJQm9+4DFCD3oIJaUVKIiFSPkqJ+KCkoTe7dByhA7kEFtaKkEBGpHiVF/VBSUJrcuw9QgNyDCmpFSSEiUj1KivqhpKA0uXcfoAC5BxXUipJCRKR6lBT1Q0lBaXLvPkABcg8qqBUlhYhI9Sgp6sfI33X/8I8fxf/636unJP/wjx/580HN5N59gALkHlRQK0oKEZHqUVLUDyUFpcm9+wAFyD2ooFaUFCIi1aOkqB9KCkqTe/cBCpB7UEGtKClERKpHSVE/lBSUJvfuAxQg96CCWlFSiIhUj5KifigpKE3u3QcoQO5BBbWipBARqR4lRf1QUlCa3LsPUIDcgwpqRUkhIlI9Sor6oaSgNLl3H6AAuQcV1IqSQkSkepQU9UNJQWly7z5AAXIPKqgVJYWISPUoKeqHkoLS5N59gALkHlRQK0oKEZHqUVLUDyUFpcm9+wAFyD2ooFaUFCIi1aOkqB9KCkqTe/cBCpB7UEGtKClERKpHSVE/lBSUJvfuAxQg96CCWlFSiIhUj5KifigpKE3u3QcoQO5BBbWipBARqR4lRf1QUlCa3LsPUIDcgwpSShPmv//7v9/4eZUUIiLVo6SoH6WUFLdv345vvvkmVq9eHbNmzYqUUnz22Wev9RxXr1596e8MKaU4ceLElB3zmzhz5kwsXbo0WlpaYubMmbF+/fq4efPmuMetXLnypT/HggULMhz9u5F79wEKkHtQQUopVqxYESdOnBiXR48evfHzKilERKpHSVE/Sikpjh07FimlmD9/fqxZs+aNSor+/v6qvyscP348KpVKNDU1xcOHD6fsmF/XkSNHIqUUCxcujN7e3uju7o558+ZFpVKJGzdujHnspUuXqv4sf/rTnyKlFF9//XWmn6L2cu8+QAFyDyp4k19UJkNJISJSPUqK+lFKSfHw4cMYGBiIiIi7d+9O6d/9ly9fjpRSbN68eUqe70WfffZZtLe3v/JxAwMD0draGm1tbTE4ODh6e19fX1QqlVixYsWkvt/y5csjpRS3b99+42P+o8u9+wAFyD2oYOQXlaGhoTF/sb8tJYWISPUoKepHKSXFi6a6pNi8eXOklOLKlSvj7hsaGoqenp748MMPo6WlJSqVSixfvjzOnz8/qeeebEkxcqbIrl27qj5HSinu3r370ue4ffv26Nml9Sz37gMUIPeggpRSVCqVaGxsjJRStLa2xp/+9KdX/mX+KkoKEZHqUVLUj+leUjx8+DCam5tjwYIF8fz58zH3DQ8Px9q1a6OhoSE2b94cvb290dPTM3q2wqFDh175/JMtKbZt2/bb7xyXLo2779ChQ5FSilOnTr30Ob755ptIKcXx48df+f1Klnv3AQqQe1DB4sWLY+/evXHmzJk4efJkbN++PRobG2PWrFmTPt2xr68vrl27NiZ79+6NlFJ0f785Ll35TxER+f/p/v63f3m+cOFCjSc8tTZSUvzzv7wX//CPH01J/vlf3ouUUuzfv3/c3619fX1vfcxTWVL09PRESin27t077r7e3t5IKcXJkyfH3P78+fNYt25dtLa2xuPHj1/6/JMtKdavXx8ppbh169a4+y5cuBAppejp6Znw6589exazZ8+OmTNnxtOnT1/5/UqWe/cBCpB7UEE158+fj5RSrFmzZlKP7+zsfOUVv0VEZGw6OztrPM2ptZGSoqQ/M1NZUnR0dERjY2P09/ePu2/x4sXR1tYWDx8+HJejR49GSmPPfHj8+PG4x23evDnmzZtX9TletHr16kgpxZ07d8Ydx5UrVyKlFF1dXRP+HKdOnYqUUuzYseMtXo0y5N59gALkHlQwkY8++igaGxsn9S8K1c6kGCkPMQsrAAANcklEQVQu9u7dO+4+mXz2798fKVX/FzXxOnody8zImWY//PDDO5jm1NKjR49q8mfk1KlTceHChXG3v+xMiuHh4ejv7x+TkYtlvmiqSoq//e1vkVKKjRs3Vr2/paXllaXLi2+tGLl2xGTzorc9k+Ljjz+OlFLVjyutN7l3H6AAuQcVTOSTTz6JlFLcv3//jb7+2rXf/nXp2jXvuX4bXsep4XWcGl7HqeF1pBZGyocXs3Llygkf97Ylxeeffx4ppbh48WLV+0euVXH58uUJ8+DBg9HH37p1a9z9a9asiTlz5lT92he9zTUp7t69Gw0NDbF06dK3eDXKkXv3AQqQe1DBRBYtWhRNTU3x7NmzN/p6v4RPDa/j1PA6Tg2v49TwOlILT58+HbfI//TTT+MeNxUlxeDgYLS0tER7e3sMDw9XfcyiRYtixowZMTQ09MbfZ7LXpBh5+8ibfLrHd999FymlOHr06BsfZ0ly7z5AAXIPKqa337+nc8Tx48cjpRTr169/4+f2S/jU8DpODa/j1PA6Tg2vIzlNpqR48OBB3L59O548eVL1/oMHD0ZKKXbv3j3hc4xcVPPbb7+ten+161j83mRLioGBgZgxY0a0tbWN+Tj1vr6+0Y89rWZ4eDja2tqitbV1wp+13uTefYAC5B5UTG9fffVVLFmyJHbu3BkHDhyI77//fvRtHnPnzq16AarJ8kv41PA6Tg2v49TwOk4NryPv2qNHj6Krqyu6urpGP2rzww8/HL3t/PnzYx4/cvbB1atXqz7fyHWrXvaW0KGhodFrRaxYsSL27NkThw8fjl27dsX69eujsbHxlcc92ZIi4n/e1rFw4cLo7e2N7u7uaG9vj0qlEj///HPVrxm5UPi2bdsm9T3qQe7dByhA7kHF9Hbu3LlYu3ZttLW1RXNzczQ3N8f7778fX3/9dfz6669v9dx9fX3R2dk5JR+XNp15HaeG13FqeB2nhteRd63a9SpezO/PqnhZSfHzzz9P+mzL4eHhOHz4cCxbtixmzJgRzc3NMW/evFi3bl0cPHjwlV//OiVFRMTp06djyZIl0dLSEq2trbFu3bq4cePGhI8fKVGqvS2mXuXefYAC5B5UAADA9JB79wEKkHtQAQAA00Pu3QcoQO5BBQAATA+5dx+gALkHFQAAMD3k3n2AAuQeVAAAwPSQe/cBCpB7UAEAANND7t0HKEDuQQUAAEwPuXcfoAC5BxW8C8+fP48TJ07Ep59+Gu+99160tLTE3LlzY+XKlXH27Nl4/vx57kMsxvXr12PHjh2xYsWKmDFjRqSUorOzM/dh/WGdOXMmli5dGi0tLTFz5sxYv3593Lx5M/dhFWXv3r2xadOmWLBgQTQ0NERKKfchFemXX36Jzs7OWLZsWcyZMydaWlrigw8+iB07dsSDBw9yHx4wTeTefYAC5B5U8C48ffo0UkrR0dERO3fujCNHjsTevXvjvffei5RSbN++PfchFqOzszMaGhrigw8+iJUrVyopXuLIkSORUoqFCxdGb29vdHd3x7x586JSqcSNGzdyH14xUkoxc+bMWLVqVcydO1dJ8YZ27twZLS0t8cknn8T3338fhw4dis8//zwaGxtj1qxZcfv27dyHCEwDuXcfoAC5BxW8C0NDQ3H58uVxtz958mS0qLh161aGIytPf39/PH78OCIirl69qqSYwMDAQLS2tkZbW1sMDg6O3t7X1xeVSiVWrFiR8ejKcufOndH/PVKM8fr+67/+KwYGBsbdfujQoUgpxaZNmzIcFTDd5N59gALkHlSQ29dffx0ppfjhhx9yH0pxlBQTO3bsWKSUYteuXePu++yzzyKlFHfv3s1wZGVTUky9wcHBSCnF+++/n/tQgGkg9+4DFCD3oILcNm3aFCmluHLlSu5DKY6SYmLbtm2LlFJcunRp3H0j/3J96tSpDEdWNiXF1Lt161aklJzdA7wTuXcfoAC5BxXk9NNPP0VjY2MsWLAghoaGch9OcZQUE1u/fv2EbyO6cOFCpJSip6cnw5GVTUkx9TZu3BgppTh27FjuQwGmgdy7D1CA3IMKXsc333wz6Zw5c+alz/XgwYOYN29eNDc3x/Xr19/RT/DHMFWvo5JiYqtXr46U0pjrKYy4cuVKpJSiq6srw5GVTUkxtfbs2RMppdiwYYNPOQLeidy7D1CA3IMKXkdKadLZunXrhM/T398fH3zwQTQ1NcW5c+fe4U/wxzBVr6OSYmLOpKgNJcXU2b9/f6SUYuXKlfHkyZPchwNME7l3H6AAuQcVvGv379+P999/P5qamuL8+fO5D6doSoqJuSZFbSgppkZPT0+klGL16tUKCuCdyr37AAXIPajgXbp//36899570dzcHBcvXsx9OMVTUkzs6NGjPt2jBpQUb2/fvn2RUoq1a9fG06dPcx8OMM3k3n2AAuQeVPCu3Lt3LxYsWBAtLS1x+fLl3IdTF5QUExsYGIgZM2ZEW1tbDA4Ojt7e19cXlUolli9fnvHoyqWkeDsj16BYv359PHv2LPfhANNQ7t0HKEDuQQXvwuDgYMyfPz9SSvHFF1/EiRMnxuXmzZu5D7MIfX190dXVFV1dXbFly5ZIKcWqVatGb7t27VruQ/zDGHlbx8KFC6O3tze6u7ujvb09KpVK/Pzzz7kPrxjHjx8f/fPV3t4+etHRkTA5Bw4ciJRSzJkzJ44ePVp1DgLUWu7dByhA7kEF78Ldu3dfeYFIZwNMzsjZE17HyTl9+nQsWbIkWlpaorW1NdatWxc3btzIfVhFGTl7YqIwOSNvM/JaAjnl3n2AAuQeVAAAwPSQe/cBCpB7UAEAANND7t0HKEDuQQUAAEwPuXcfoAC5BxUAADA95N59gALkHlQAAMD0kHv3AQqQe1ABAADTQ+7dByhA7kEFAABMD7l3H6AAuQcVAAAwPeTefYAC5B5UAADA9JB79wEKkHtQAQAA00Pu3QcoQO5BBQAATA+5dx+gALkHFQAAMD3k3n2AAuQeVAAAwPSQe/cBCpB7UAEAANND7t0HKEDuQQUAAEwPuXcfoAC5BxUAADA95N59gALkHlQAAMD0kHv3AQqQe1ABAADTQ+7dByhA7kEFUM/OnTsXXV1dsX379ti9e3dcv349/vKXv8T27dvj5MmTuQ8PAN6p3LsPUIDcgwqgXl24cCFOnz4dERHPnz+P5ubm+OKLLyIiYu7cubFp06achwcA71zu3QcoQO5BBVCvurq6Rv93f39/pJTib3/7W0RE/PjjjzEwMJDpyAAgj9y7D1CA3IMKYDo4efJkVCqVGBoayn0oAJBN7t0HKEDuQQUwHXz++eexdu3a3IcBAFnl3n2AAuQeVAD16sqVK/HkyZOIiJg3b17s27dv9L4TJ05EX19fpiMDgDxy7z5AAXIPKoB6dPHixUgpxaVLl+LixYsxc+bM0U/z+PXXX2Pnzp2ZjxAA3r3cuw9QgNyDCqAePXjwID799NPYvXt39Pb2xvXr12PDhg3R1dUVu3fvHj3DAgCmk9y7D1CA3IMKAACYHnLvPkABcg8qAABgesi9+wAFyD2oAACA6SH37gMUIPegAgAApofcuw9QgNyDCgAAmB5y7z5AAXIPKgAAYHrIvfsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEDd+3/x8gYQZboBugAAAABJRU5ErkJggg==\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: -1.73171e+07\n",
      "Maximum value in the domain: 420.487\n"
     ]
    }
   ],
   "source": [
    "I3 = sigma.det()\n",
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(I3, x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<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",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.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",
       "\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.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, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.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",
       "            /* 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\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    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",
       " */\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",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\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",
       "\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",
       "\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",
       "\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",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"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",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.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",
       "\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 = $(\"#\" + 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",
       "\n",
       "mpl.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",
       "\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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.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",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // 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",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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\" width=\"798.75\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum value in the domain: 0.014796\n",
      "Maximum value in the domain: 515.881\n"
     ]
    }
   ],
   "source": [
    "Mises = sqrt(((sigma[0,0] - sigma[1,1])**2 + (sigma[1,1] - sigma[2,2])**2 +\n",
    "             (sigma[2,2] - sigma[0,0])**2 +\n",
    "             6*(sigma[0,1]**2 + sigma[1,2]**2 + sigma[0,2]**2))/2)\n",
    "plt.figure(figsize=(6, 4))\n",
    "field_plot(Mises, x_vec, 0, z_vec, 1.0, 0.3, 0.0, 1.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link href='http://fonts.googleapis.com/css?family=Fenix' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Alegreya+Sans:100,300,400,500,700,800,900,100italic,300italic,400italic,500italic,700italic,800italic,900italic' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Source+Code+Pro:300,400' rel='stylesheet' type='text/css'>\n",
       "<style>\n",
       "/* Based on Lorena Barba template available at: https://github.com/barbagroup/AeroPython/blob/master/styles/custom.css*/\n",
       "@font-face {\n",
       "font-family: \"Computer Modern\";\n",
       "src: url('http://mirrors.ctan.org/fonts/cm-unicode/fonts/otf/cmunss.otf');\n",
       "}\n",
       "div.cell{\n",
       "width:800px;\n",
       "margin-left:16% !important;\n",
       "margin-right:auto;\n",
       "}\n",
       "h1 {\n",
       "font-family: 'Alegreya Sans', sans-serif;\n",
       "}\n",
       "h2 {\n",
       "font-family: 'Fenix', serif;\n",
       "}\n",
       "h3{\n",
       "font-family: 'Fenix', serif;\n",
       "margin-top:12px;\n",
       "margin-bottom: 3px;\n",
       "}\n",
       "h4{\n",
       "font-family: 'Fenix', serif;\n",
       "}\n",
       "h5 {\n",
       "font-family: 'Alegreya Sans', sans-serif;\n",
       "}\t\n",
       "div.text_cell_render{\n",
       "font-family: 'Alegreya Sans',Computer Modern, \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n",
       "line-height: 135%;\n",
       "font-size: 120%;\n",
       "width:600px;\n",
       "margin-left:auto;\n",
       "margin-right:auto;\n",
       "}\n",
       ".CodeMirror{\n",
       "font-family: \"Source Code Pro\";\n",
       "font-size: 90%;\n",
       "}\n",
       "/* .prompt{\n",
       "display: None;\n",
       "}*/\n",
       ".text_cell_render h1 {\n",
       "font-weight: 200;\n",
       "font-size: 50pt;\n",
       "line-height: 100%;\n",
       "color:#CD2305;\n",
       "margin-bottom: 0.5em;\n",
       "margin-top: 0.5em;\n",
       "display: block;\n",
       "}\t\n",
       ".text_cell_render h5 {\n",
       "font-weight: 300;\n",
       "font-size: 16pt;\n",
       "color: #CD2305;\n",
       "font-style: italic;\n",
       "margin-bottom: .5em;\n",
       "margin-top: 0.5em;\n",
       "display: block;\n",
       "}\n",
       ".warning{\n",
       "color: rgb( 240, 20, 20 )\n",
       "}\n",
       "</style>\n",
       "<script>\n",
       "MathJax.Hub.Config({\n",
       "TeX: {\n",
       "extensions: [\"AMSmath.js\"]\n",
       "},\n",
       "tex2jax: {\n",
       "inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
       "displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
       "},\n",
       "displayAlign: 'center', // Change this to 'center' to center equations.\n",
       "\"HTML-CSS\": {\n",
       "styles: {'.MathJax_Display': {\"margin\": 4}}\n",
       "}\n",
       "});\n",
       "</script>\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.core.display import HTML\n",
    "def css_styling():\n",
    "    styles = open('./styles/custom_barba.css', 'r').read()\n",
    "    return HTML(styles)\n",
    "css_styling()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}