DG-1DWaveProp-Internal-Clean.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a00032c0",
   "metadata": {},
   "outputs": [],
   "source": [
    "from dolfin import *\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "set_log_level(30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7f0ca74c",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "from matplotlib.animation import FuncAnimation\n",
    "\n",
    "from matplotlib import animation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff365d62",
   "metadata": {},
   "source": [
    "# Physically meaningful parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "67c78af9",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m/tmp/ipykernel_4535/1505594403.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m    195\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    196\u001b[0m     \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mm_size\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 197\u001b[0;31m         \u001b[0muu1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mn\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mq_old\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mm_size\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mlx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    198\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    199\u001b[0m     \u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mL\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlhs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mF1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mrhs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mF1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
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   "source": [
    "# parameters[\"ghost_mode\"] = \"shared_facet\"\n",
    "\n",
    "# compare upwind flux with lax-friedrichs flux\n",
    "lx = 1\n",
    "m_size = lx*50\n",
    "mesh = IntervalMesh(m_size, 0.0, lx)\n",
    "\n",
    "# Material properties\n",
    "mu = Constant(14e9)\n",
    "rho = Constant(2.2e3)\n",
    "gamma = Constant(1)\n",
    "tau = 10e-3*gamma # \\tau_1 in the literature\n",
    "\n",
    "\n",
    "beta_E = 50\n",
    "delta_E = 1e8\n",
    "\n",
    "delta_t = 2e-6\n",
    "t_total = 80e-3\n",
    "\n",
    "t_excitation = 40e-3\n",
    "\n",
    "fc = 5e3\n",
    "\n",
    "A_amp = 1e-6\n",
    "\n",
    "deg_dg = 0 # DG degree\n",
    "\n",
    "def mu_fun(eps):\n",
    "    return mu * (1 - 2*beta_E*eps - 3 * delta_E*eps*eps)\n",
    "\n",
    "def stress_fun(eps):\n",
    "    return mu * eps * (1 - beta_E*eps - delta_E*eps*eps)\n",
    "\n",
    "def energy_fun(eps):\n",
    "    return mu * eps * eps * (0.5 - beta_E/3*eps  - delta_E/4*eps*eps)\n",
    "\n",
    "A_amp1 = float(stress_fun(A_amp)/rho)\n",
    "\n",
    "def flux_fun(q_f):\n",
    "    (eps,vel, g_int) = split(q_f)\n",
    "    return as_vector([-vel('+'), -(1-g_int('+'))*stress_fun(eps('+'))/rho ,0]) \\\n",
    "           + as_vector([-vel('-'), -(1-g_int('-'))*stress_fun(eps('-'))/rho ,0])\n",
    "\n",
    "def AStar_fun(q_f):\n",
    "    (eps, vel, g_int) = split(q_f)\n",
    "    a = (1 - 0.5*(g_int('+')+g_int('-')) ) * mu_fun(eps('+'))/rho\n",
    "    b = stress_fun(eps('+'))/rho\n",
    "    RStar = as_tensor([[1, 1, b], \\\n",
    "                       [sqrt(a), -sqrt(a), 0], \\\n",
    "                       [0, 0, a]])\n",
    "    RStar_inv = as_tensor([[1/2, 1/2/sqrt(a), -b/a/2], \\\n",
    "                           [1/2, -1/2/sqrt(a), -b/a/2], \\\n",
    "                           [0, 0, 1/a]])\n",
    "    Lamb = as_tensor([[sqrt(a), 0, 0], \\\n",
    "                      [0, sqrt(a), 0], \\\n",
    "                      [0, 0, 0]])\n",
    "    return dot(dot(RStar,Lamb),RStar_inv)\n",
    "\n",
    "# Function space\n",
    "Ee = FiniteElement(\"DG\", mesh.ufl_cell(), deg_dg)\n",
    "Ve = FiniteElement(\"DG\", mesh.ufl_cell(), deg_dg)\n",
    "Ge = FiniteElement(\"DG\", mesh.ufl_cell(), deg_dg)\n",
    "V_dg = FunctionSpace(mesh, MixedElement([Ee, Ve, Ge]))\n",
    "\n",
    "phi, v = TrialFunction(V_dg), TestFunction(V_dg)\n",
    "q_new, q_old = Function(V_dg), Function(V_dg)\n",
    "q_rk = Function(V_dg)\n",
    "\n",
    "q0 = Expression((\"0\",\"0\",\"0\"), degree=1, t=0, name='q0') # \n",
    "q_old = project(q0, V_dg)\n",
    "\n",
    "v_exact = Expression(\"(t<tc1 ) ? A*(lx-x[0])/lx*sin(2*pi*(x[0] + c*t)) : 0 \", \\\n",
    "                     degree=1, t=0, tc1=t_excitation, c=fc, A=A_amp, lx = lx) # \n",
    "\n",
    "v_exact2 = Expression(\"(t<tc1 ) ? A*(lx-x[0])/lx*sin(2*pi*(x[0] + c*t)) : 0 \", \\\n",
    "                     degree=1, t=0, tc1=t_excitation, c=fc, A=A_amp1, lx = lx) # \n",
    "\n",
    "v_exactr = Expression(\" 0 \", \\\n",
    "                     degree=1, t=0, tc1=t_excitation, c=fc, A=A_amp, lx = lx) # \n",
    "\n",
    "f_ext = Expression((\"0\", \"(t<tc1 ) ? -A*(lx-x[0])/lx*sin(2*pi*(x[0] + c*t)) : 0 \", \"0\"), \\\n",
    "                   degree=1, t=0, tc1=t_excitation, c=fc, A=A_amp1, lx = lx) #\n",
    "\n",
    "DOFIN_EPS = 1e-10 # + 1/40\n",
    "def left(x, on_boundary):\n",
    "    return abs(x[0]-0.) < DOFIN_EPS\n",
    "def right(x, on_boundary):\n",
    "    return abs(x[0]-lx) < DOFIN_EPS\n",
    "\n",
    "\n",
    "bc =  [DirichletBC(V_dg.sub(0), v_exact, left, method=\"pointwise\"),\\\n",
    "       DirichletBC(V_dg.sub(0), v_exactr, right, method=\"pointwise\"),\\\n",
    "       DirichletBC(V_dg.sub(1), v_exactr, right, method=\"pointwise\"),\\\n",
    "       DirichletBC(V_dg.sub(2), v_exactr, right, method=\"pointwise\")]\n",
    "\n",
    "# Weak form\n",
    "n = FacetNormal(mesh)\n",
    "\n",
    "(eps1,vel1, g_int1) = split(q_old)\n",
    "mu1 = mu_fun(eps1)\n",
    "sig1 = stress_fun(eps1)\n",
    "\n",
    "c_speed1 = sqrt((1-g_int1)*mu1/rho)\n",
    "\n",
    "W_energy1 = energy_fun(eps1)\n",
    "\n",
    "A_adv1 = as_tensor([[0, -1, 0], \\\n",
    "                    [-(1-g_int1)*mu1/rho, 0, sig1/rho], \\\n",
    "                    [0, 0, 0]])\n",
    "\n",
    "R1 = as_tensor([[1, 1, sig1/rho], \\\n",
    "                [c_speed1, -c_speed1, 0], \\\n",
    "                [0,0,c_speed1*c_speed1]])\n",
    "R_inv1 = as_tensor([[1/2, 1/c_speed1/2, -sig1/rho/c_speed1/c_speed1/2], \\\n",
    "                    [1/2, -1/c_speed1/2, -sig1/rho/c_speed1/c_speed1/2], \\\n",
    "                    [0, 0, 1/c_speed1/c_speed1] ])\n",
    "Lambda_adv_abs1 = as_tensor([[c_speed1, 0, 0], \\\n",
    "                             [0, c_speed1, 0], \\\n",
    "                             [0, 0, 0] ])\n",
    "\n",
    "A_adv_abs1 = dot( dot(R1, Lambda_adv_abs1), R_inv1)\n",
    "\n",
    "A_adv_plus1 = (A_adv1 + A_adv_abs1)/2\n",
    "A_adv_minus1 = (A_adv1 - A_adv_abs1)/2\n",
    "\n",
    "F = dot( (phi-q_old)/delta_t, v) * dx \n",
    "\n",
    "flux_inner1 = as_vector([-vel1, -(1-g_int1)*sig1/rho, 0])\n",
    "# F1 = F - dot(dot(A_adv1,q_old), grad(v)[:,0]) * dx\n",
    "F1 = F - dot(flux_inner1, grad(v)[:,0]) * dx\n",
    "\n",
    "r1 = as_vector([0, 0, 1/tau*(W_energy1 - gamma*g_int1/(1-g_int1*g_int1))])\n",
    "F1 += - dot(r1, v) * dx\n",
    "\n",
    "flux1 = dot(A_adv_plus1('+'), q_old('+')) + dot(A_adv_minus1('-'), q_old('-'))\n",
    "\n",
    "# Roe solver\n",
    "flux1 = 0.5*( flux_fun(q_old) \\\n",
    "             - dot( AStar_fun(q_old), q_old('-')-q_old('+')  ) ) \n",
    "\n",
    "F1 += dot( flux1*n('+')[0], jump(v)) * dS + dot(f_ext,v)*n[0] * ds\n",
    "\n",
    "(eps2,vel2, g_int2) = split(q_rk)\n",
    "mu2 = mu_fun(eps2)\n",
    "sig2 = stress_fun(eps2)\n",
    "\n",
    "c_speed2 = sqrt((1-g_int2)*mu2/rho)\n",
    "\n",
    "W_energy2 = energy_fun(eps2)\n",
    "\n",
    "A_adv2 = as_tensor([[0, -1, 0], \\\n",
    "                    [-(1-g_int2)*mu2/rho, 0, sig2/rho], \\\n",
    "                    [0, 0, 0]])\n",
    "\n",
    "R2 = as_tensor([[1, 1, sig2/rho], \\\n",
    "                [c_speed2, -c_speed2, 0], \\\n",
    "                [0,0,c_speed2*c_speed2]])\n",
    "R_inv2 = as_tensor([[1/2, 1/c_speed2/2, -sig2/rho/c_speed2/c_speed2/2], \\\n",
    "                    [1/2, -1/c_speed2/2, -sig2/rho/c_speed2/c_speed2/2], \\\n",
    "                    [0, 0, 1/c_speed2/c_speed2] ])\n",
    "Lambda_adv_abs2 = as_tensor([[c_speed2, 0, 0], \\\n",
    "                             [0, c_speed2, 0], \\\n",
    "                             [0, 0, 0] ])\n",
    "\n",
    "A_adv_abs2 = dot( dot(R2, Lambda_adv_abs2), R_inv2)\n",
    "\n",
    "A_adv_plus2 = (A_adv2 + A_adv_abs2)/2\n",
    "A_adv_minus2 = (A_adv2 - A_adv_abs2)/2\n",
    "\n",
    "flux_inner2 = as_vector([-vel2, -(1-g_int2)*sig2/rho, 0])\n",
    "# F2 = - dot(dot(A_adv2,q_rk), grad(v)[:,0]) * dx\n",
    "F2 = - dot(flux_inner2, grad(v)[:,0]) * dx\n",
    "\n",
    "r2 = as_vector([0, 0, 1/tau*(W_energy2 - gamma*g_int2/(1-g_int2*g_int2))])\n",
    "\n",
    "F2 += - dot(r2, v) * dx\n",
    "\n",
    "flux2 = dot(A_adv_plus2('+'), q_rk('+')) + dot(A_adv_minus2('-'), q_rk('-'))\n",
    "\n",
    "# Roe solver\n",
    "flux2 = 0.5*( flux_fun(q_rk) \\\n",
    "            - dot( AStar_fun(q_rk), q_rk('-')-q_rk('+')  ) ) \n",
    "\n",
    "F2 += dot( flux2*n('+')[0], jump(v)) * dS + dot(f_ext,v)*n[0] * ds\n",
    "\n",
    "F += 0.5*((F1-F) + F2)\n",
    "\n",
    "t = 0\n",
    "time_steps = int(t_total/delta_t)\n",
    "uu1 = np.zeros((time_steps,m_size,3))\n",
    "for n in range(time_steps):\n",
    "    print('===============')\n",
    "    print('Time step:',n)\n",
    "    \n",
    "    for i in range(m_size):\n",
    "        uu1[n,i,:] = q_old(i/(m_size-1)*lx)[:]\n",
    "    \n",
    "    a,L = lhs(F1),rhs(F1)\n",
    "    solve(a==L, q_new, bc)\n",
    "    q_rk.assign(q_new)\n",
    "        \n",
    "    a,L = lhs(F),rhs(F)\n",
    "    solve(a==L, q_new, bc)\n",
    "    q_old.assign(q_new)\n",
    "    print('Strain:',q_old(0)[0])\n",
    "\n",
    "    t += delta_t\n",
    "    v_exact.t = t\n",
    "    f_ext.t = t\n",
    "    \n",
    "plt.subplots()\n",
    "plot(q_old[2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "db677ffe",
   "metadata": {},
   "outputs": [
    {
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       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// 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",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
       "        }\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",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* 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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home 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\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"572.85\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uu = uu1\n",
    "\n",
    "x_ind = 5\n",
    "\n",
    "u_sig = float(mu)*uu[:, x_ind,0] * (1-uu[:, x_ind,2]) \\\n",
    "* (1 - float(beta_E)*uu[:, x_ind,0] - float(delta_E)*uu[:, x_ind,0]*uu[:, x_ind,0])\n",
    "u_modulus = float(mu) * (1-uu[:, x_ind,2]) \\\n",
    "* (1 - 2 * float(beta_E)*uu[:, x_ind,0] - 3 * float(delta_E)*uu[:, x_ind,0]*uu[:, x_ind,0])\n",
    "\n",
    "t_sta = 19850\n",
    "t_end = 19950\n",
    "\n",
    "plt.subplots()\n",
    "plt.subplot(1,3,1)\n",
    "plt.plot(uu[t_sta:t_end, x_ind,0],u_sig[t_sta:t_end])\n",
    "plt.xlabel('strain')\n",
    "plt.ylabel('stress')\n",
    "plt.subplot(1,3,2)\n",
    "plt.plot(uu[t_sta:t_end, x_ind,0],(u_modulus[t_sta:t_end]-float(mu))/float(mu)*100)\n",
    "plt.xlabel('strain')\n",
    "plt.ylabel('modulus change(%)')\n",
    "plt.ylim([-0.4,-0.34])\n",
    "plt.subplot(1,3,3)\n",
    "plt.plot(np.linspace(0,t_total,time_steps), (u_modulus-float(mu))/float(mu)*100)\n",
    "plt.ylim([-1.5,0.1])\n",
    "# plt.semilogy(np.linspace(0,t_total,time_steps), uu[:, 0,2])\n",
    "plt.xlim([0.,0.08])\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('modulus change(%)')\n",
    "\n",
    "# plt.ylim([0.,0.3])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "63e4cce5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// 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",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
       "        }\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",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* 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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home 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\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"572.85\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.00031199999999999934"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "\n",
    "plt.subplots()\n",
    "plot(q_old[0])\n",
    "\n",
    "t"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e155474",
   "metadata": {},
   "source": [
    "# Roe solver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2f91ca7d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// 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",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
       "        }\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",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* 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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home 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\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"572.85\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "line1, = ax.plot([],'-')\n",
    "line2, = ax.plot([],'-')\n",
    "line3, = ax.plot([],'-')\n",
    "\n",
    "ax.set_xlim(0,1)\n",
    "ax.set_ylim(-0.5e-7,0.5e-7)\n",
    "# ax.set_ylim(-1e-0,2e-0)\n",
    "ax.set_ylim(-5e-3,5e-3)\n",
    "\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('VelocityStrain')\n",
    "ax.legend(['Strain','Velocity','g_int'])\n",
    "\n",
    "N_d = 1\n",
    "\n",
    "Nincr = 10000 # Time steps\n",
    "\n",
    "N_x = 1\n",
    "\n",
    "def animate(frame_num):\n",
    "    # ax.clear()\n",
    "    line1.set_data((np.linspace(0,lx,int(m_size/N_x)), 1e3*uu1[frame_num*N_d, 0:m_size:N_x,0])) #\n",
    "    line2.set_data((np.linspace(0,lx,int(m_size/N_x)), 1e0*uu1[frame_num*N_d, 0:m_size:N_x,1])) #\n",
    "    line3.set_data((np.linspace(0,lx,int(m_size/N_x)), 1e0*uu1[frame_num*N_d, 0:m_size:N_x,2])) #\n",
    "    # line2.set_data((np.linspace(0,1,100), u_up_d[frame_num*N_d, :,1]))\n",
    "    # line3.set_data((np.linspace(0,10,N_mesh), results_1d2[frame_num, :]-0.1)) # Implicit - manual\n",
    "    return line1, line2, line3\n",
    "\n",
    "ani = FuncAnimation(fig, animate, frames=int(Nincr/N_d), interval=100)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fenicsproject",
   "language": "python",
   "name": "fenicsproject"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}