elastic_wave_2d_staggered_poroelastic_DX4_DT2_with_PML_VSP_v1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Codigo para la propagación de onda elástica 2D PSV en un medio homogeneo poroelástico mediante el esquema velocidad - esfuerzo y rejilla escalonada (usado en tesis)\n",
    "En este Notebook se presenta un codigo para la propagación de onda elástica 2D PSV en un medio homogeneo mediante el esquema velocidad - esfuerzo y rejilla escalonada propuesto por Virieux (1986), como resultado se muestra en la figura 1 cuatro cuadros donde se muestra el avance de la onda P mediante la divergencia, la onda S mediante el rotor y las velocidades $v_x$ y $v_z$\n",
    "\n",
    "#### Termino o función fuente\n",
    "\n",
    "En este codigo se uso como función fuente se uso una ondicula  cuya ecuación es:\n",
    "\n",
    "$$\n",
    "s= exp\\left(-f_0^2*((t-t_0)*dt)^2\\right)\n",
    "$$\n",
    "\n",
    "donde $f_0$ es la frecuencia dominante y $t_0$ es el retraso en tiempo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Libraries \n",
    "# ----------------------------------------------\n",
    "%matplotlib notebook\n",
    "import numpy as np\n",
    "import numpy.matlib as npmat\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def d(comp,inpu,dire):\n",
    "    if(comp=='x'): idim = 0\n",
    "    elif(comp=='z'): idim = 1\n",
    "    \n",
    "    if(dire == '+'):\n",
    "        return (9/8*(np.roll(inpu, -1, axis = idim)-inpu)\n",
    "                -1/24*(np.roll(inpu, -2, axis = idim)-np.roll(inpu, 1, axis = idim)))/dx\n",
    "    elif(dire == '-'):\n",
    "        return (9/8*(inpu - np.roll(inpu, 1, axis = idim))\n",
    "                -1/24*(np.roll(inpu, -1, axis = idim)-np.roll(inpu, 2, axis = idim)))/dx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Input Parameter\n",
    "# ----------------------------------------------\n",
    "\n",
    "# Discretization\n",
    "#c1=20           # Number of grid points per dominant wavelength\n",
    "#c2=0.5          # CFL-Number for 2D CFL< 0.606\n",
    "nx=34          # number of grid points in x-direction\n",
    "nz=1058          # number of grid points in z-direction\n",
    "T=1.50\n",
    "idisp = 100 # display frequency\n",
    "\n",
    "# The grid number of pml\n",
    "pml = 200                              \n",
    "m = nx + 2*pml\n",
    "n = nz + 2*pml\n",
    " \n",
    "# Source Signal\n",
    "f0= 50      # Center frequency Ricker-wavelet\n",
    "q0= 1      # Maximum amplitude Ricker-Wavelet\n",
    "t0= 1.5/f0\n",
    "xscr = pml+33;  zscr = pml # Source position (in grid points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Velocity and density\n",
    "Vpp=4100*np.ones((nx,nz))   # P-wave velocity in m/s\n",
    "Vss=2350*np.ones((nx,nz))   # S-wave velocity in m/s\n",
    "den= 2390*np.ones((nx,nz))      # Density in Kg/m^3\n",
    "rhof=1230*np.ones((m,n))          # Fluid Density in Kg/m^3\n",
    "rhom=2650          # Mineral Density in Kg/m^3\n",
    "Kmin=38e+09       # Mineral Compressibility in Pa\n",
    "Ksat =22e+09*np.ones((m,n))      # Dry Compressibility in Pa\n",
    "KF=3.8e+09*np.ones((m,n))        # Fluid Compressibility in Pa \n",
    "Tur= 1.0          # Tortuosity\n",
    "etta =0.32e-08      # Viscosidad\n",
    "kappa =1e-1       #Permeabilidad\n",
    "\n",
    "for j in range((nz//2)-1,nz):\n",
    "    Vpp[:,j]=3850\n",
    "    \n",
    "for j in range((nz//2)-1,nz):\n",
    "    Vss[:,j]=2365\n",
    "   \n",
    "for j in range((nz//2)-1,nz):\n",
    "    den[:,j]=2350\n",
    "    \n",
    "for j in range((nz//2)-1,nz):\n",
    "    rhof[:,j]=1050\n",
    "    \n",
    "for j in range((nz//2)-1,nz):\n",
    "    KF[:,j]=0.25e+09\n",
    "   \n",
    "for j in range((nz//2)-1,nz):\n",
    "    Ksat[:,j]=17.2e+09    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Velocity and density\n",
    "Vpp = np.loadtxt('Vp_ILM13.txt') # P-wave velocity in m/s\n",
    "Vpp=Vpp.transpose()\n",
    "Vss = np.loadtxt('Vs_ILM13.txt') # S-wave velocity in m/s\n",
    "Vss=Vss.transpose()\n",
    "den= np.loadtxt('rhob_ILM13.txt') # Density in Kg/m^3\n",
    "den=den.transpose()\n",
    "rhof=rhof=1000*np.ones((m,n))          # Fluid Density in Kg/m^3\n",
    "rhomm= np.loadtxt('rhom_ILM13.txt') # Mineral Density in Kg/m^3\n",
    "rhomm=rhomm.transpose()\n",
    "Kminn= np.loadtxt('Kmin_ILM13.txt') # Mineral Compressibility in Pa\n",
    "Kminn=Kminn.transpose()\n",
    "Ksatn= np.loadtxt('Ksat_ILM13.txt') # Dry Compressibility in Pa\n",
    "Ksatn=Ksatn.transpose()\n",
    "KF=3.0e+09*np.ones((m,n))        # Fluid Compressibility in Pa \n",
    "Tur= 1.0          # Tortuosity\n",
    "etta =0.001      # Viscosity\n",
    "kappaa= np.loadtxt('kappa_ILM13.txt') # Permeability\n",
    "kappaa=kappaa.transpose()\n",
    "phii= np.loadtxt('phi_ILM13.txt') # Porosity\n",
    "phii=phii.transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'Vpp' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-13-e4664293c303>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      2\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[0mVp\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mm\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m                        \u001b[1;31m# medium velocity of P wave,m/s,zero fill\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 4\u001b[1;33m \u001b[0mVp\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mnx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mnz\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mVpp\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      5\u001b[0m \u001b[0mVp\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mnx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtranspose\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnpmat\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrepmat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mVpp\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      6\u001b[0m \u001b[0mVp\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mnx\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mnz\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mnz\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtranspose\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnpmat\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrepmat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mVpp\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mnz\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpml\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'Vpp' is not defined"
     ]
    }
   ],
   "source": [
    "# PML extra edge\n",
    "\n",
    "Vp=np.zeros((m,n))                        # medium velocity of P wave,m/s,zero fill\n",
    "Vp[pml:pml+nx,pml:pml+nz] = Vpp\n",
    "Vp[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(Vpp[:,0],pml,1))\n",
    "Vp[pml:pml+nx,nz+pml:2*pml+nz] = np.transpose(npmat.repmat(Vpp[:,nz-1],pml,1))\n",
    "Vp[0:pml,:] = npmat.repmat(Vp[pml,:],pml, 1)\n",
    "Vp[pml+nx:2*pml+nx,:] = npmat.repmat(Vp[pml+nx-1,:],pml, 1)\n",
    "del Vpp\n",
    "\n",
    "Vs=np.zeros((m,n))                        # medium velocity of S wave,m/s,zero fill\n",
    "Vs[pml:pml+nx,pml:pml+nz] = Vss\n",
    "Vs[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(Vss[:,0],pml,1))\n",
    "Vs[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(Vss[:,nz-1],pml,1))\n",
    "Vs[0:pml,:] = npmat.repmat(Vs[pml,:],pml, 1)\n",
    "Vs[pml+nx:2*pml+nx,:] = npmat.repmat(Vs[pml+nx-1,:],pml, 1)\n",
    "del Vss;\n",
    "\n",
    "rho=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "rho[pml:pml+nx,pml:pml+nz] = den;\n",
    "rho[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(den[:,0],pml,1))\n",
    "rho[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(den[:,nz-1],pml,1))\n",
    "rho[0:pml,:] = npmat.repmat(rho[pml,:],pml, 1)\n",
    "rho[pml+nx:2*pml+nx,:] =npmat.repmat(rho[pml+nx-1,:],pml,1)\n",
    "del den\n",
    "\n",
    "rhom=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "rhom[pml:pml+nx,pml:pml+nz] = rhomm;\n",
    "rhom[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(rhomm[:,0],pml,1))\n",
    "rhom[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(rhomm[:,nz-1],pml,1))\n",
    "rhom[0:pml,:] = npmat.repmat(rhom[pml,:],pml, 1)\n",
    "rhom[pml+nx:2*pml+nx,:] =npmat.repmat(rhom[pml+nx-1,:],pml,1)\n",
    "del rhomm\n",
    "\n",
    "Kmin=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "Kmin[pml:pml+nx,pml:pml+nz] = Kminn;\n",
    "Kmin[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(Kminn[:,0],pml,1))\n",
    "Kmin[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(Kminn[:,nz-1],pml,1))\n",
    "Kmin[0:pml,:] = npmat.repmat(Kmin[pml,:],pml, 1)\n",
    "Kmin[pml+nx:2*pml+nx,:] =npmat.repmat(Kmin[pml+nx-1,:],pml,1)\n",
    "del Kminn\n",
    "\n",
    "Ksat=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "Ksat[pml:pml+nx,pml:pml+nz] = Ksatn;\n",
    "Ksat[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(Ksatn[:,0],pml,1))\n",
    "Ksat[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(Ksatn[:,nz-1],pml,1))\n",
    "Ksat[0:pml,:] = npmat.repmat(Ksat[pml,:],pml, 1)\n",
    "Ksat[pml+nx:2*pml+nx,:] =npmat.repmat(Ksat[pml+nx-1,:],pml,1)\n",
    "del Ksatn\n",
    "\n",
    "kappa=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "kappa[pml:pml+nx,pml:pml+nz] = kappaa;\n",
    "kappa[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(kappaa[:,0],pml,1))\n",
    "kappa[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(kappaa[:,nz-1],pml,1))\n",
    "kappa[0:pml,:] = npmat.repmat(kappa[pml,:],pml, 1)\n",
    "kappa[pml+nx:2*pml+nx,:] =npmat.repmat(kappa[pml+nx-1,:],pml,1)\n",
    "del kappaa\n",
    "\n",
    "phi=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "phi[pml:pml+nx,pml:pml+nz] = phii;\n",
    "phi[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(phii[:,0],pml,1))\n",
    "phi[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(phii[:,nz-1],pml,1))\n",
    "phi[0:pml,:] = npmat.repmat(phi[pml,:],pml, 1)\n",
    "phi[pml+nx:2*pml+nx,:] =npmat.repmat(phi[pml+nx-1,:],pml,1)\n",
    "del phii\n",
    "\n",
    "# Calculate Lame  Parameters\n",
    "lam=rho*(Vp**2 - 2*Vs**2)\n",
    "mu=rho*Vs**2\n",
    "#phi= (rhom-rho)/(rhom-rhof)\n",
    "KDry= (Ksat*((phi*Kmin/KF)+1-phi)-Kmin)/((phi*Kmin/KF)+(Ksat/Kmin)-1-phi)\n",
    "alpha=1-(KDry/Kmin)\n",
    "MM=((phi/KF)+((alpha-phi)/Kmin))**(-1)\n",
    "mm=(Tur*rhof)/phi\n",
    "b=(etta)/kappa\n",
    "#b=0\n",
    "A=(mm/((mm*rho.max())-(rhof**2)))\n",
    "B=-(rhof)/((mm*rho.max())-(rhof**2))\n",
    "C=-(rho.max()/((mm*rho.max())-(rhof**2)))\n",
    "del Vs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting velocity and density model\n",
    "plt.ion()\n",
    "fig1 = plt.figure()\n",
    "#plt.title('P-wave Velocity Model (m/s)')\n",
    "plt.xlabel('x (m)')\n",
    "plt.ylabel('z (m)')\n",
    "im = plt.imshow(lam.transpose(),vmin=lam.min(), vmax=lam.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu)\n",
    "fig1.colorbar(im)\n",
    "\n",
    "fig2 = plt.figure()\n",
    "plt.title('S-wave Velocity Model (m/s)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('z-grid')\n",
    "im = plt.imshow(mu.transpose(),vmin=mu.min(), vmax=mu.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu)\n",
    "fig2.colorbar(im)\n",
    "\n",
    "fig3 = plt.figure()\n",
    "plt.title('Density Model (Kg/$m^3$)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('z-grid')\n",
    "im = plt.imshow(rho.transpose(),vmin=rho.min(), vmax=rho.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu)\n",
    "fig3.colorbar(im)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4e-05\n",
      "0.999744\n"
     ]
    },
    {
     "ename": "MemoryError",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mMemoryError\u001b[0m                               Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-15-25213cefd712>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     54\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     55\u001b[0m \u001b[1;31m# Shot gathers\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 56\u001b[1;33m \u001b[0mseismo_vx\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnt\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     57\u001b[0m \u001b[0mseismo_vz\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnt\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     58\u001b[0m \u001b[0mseismovx\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mMemoryError\u001b[0m: "
     ]
    }
   ],
   "source": [
    "## Preparation \n",
    "\n",
    "# Init wavefields\n",
    "vx=np.zeros((m,n))\n",
    "vz=np.zeros((m,n))\n",
    "wx=np.zeros((m,n))\n",
    "wz=np.zeros((m,n))\n",
    "P=np.zeros((m,n))\n",
    "sxx=np.zeros((m,n))\n",
    "szz=np.zeros((m,n))\n",
    "sxz=np.zeros((m,n))\n",
    "vx1=np.zeros((m,n))\n",
    "vx2=np.zeros((m,n))\n",
    "vz1=np.zeros((m,n))\n",
    "vz2=np.zeros((m,n))\n",
    "wx1=np.zeros((m,n))\n",
    "wx2=np.zeros((m,n))\n",
    "wz1=np.zeros((m,n))\n",
    "wz2=np.zeros((m,n))\n",
    "P1=np.zeros((m,n))\n",
    "P2=np.zeros((m,n))\n",
    "sxx1=np.zeros((m,n))\n",
    "sxx2=np.zeros((m,n))\n",
    "szz1=np.zeros((m,n))\n",
    "szz2=np.zeros((m,n))\n",
    "sxz1=np.zeros((m,n))\n",
    "sxz2=np.zeros((m,n))\n",
    "\n",
    "pi1=mm*rho.max()-rhof**2\n",
    "pi2=mm*(lam.max()+2*mu.max())+rho.max()*MM+2*alpha*MM*rhof\n",
    "pi3=MM*(lam.max()+2*mu.max()-(alpha)**2*MM)\n",
    "\n",
    "cmin=Vp.min()  # Lowest P-wave velocity\n",
    "cmax=Vp.max()  # Highest P-wave velocity\n",
    "fmax=2*f0              # Maximum frequency\n",
    "#dx=cmin/(fmax*c1)      # Spatial discretization (in m)\n",
    "dx=0.999744\n",
    "dz=dx \n",
    "#dt=dx/(cmax)*c2        # Temporal discretization (in s)\n",
    "#dt=(dx/(9/8+1/24))*np.sqrt((pi2-np.sqrt(pi2**2-4*pi3*pi1))/(2*pi3))\n",
    "dt=0.00004\n",
    "lambda_min=cmin/fmax   # Smallest wavelength\n",
    "del Vp\n",
    "\n",
    "ond = np.loadtxt('ond_vsp.txt')\n",
    "# Create space and time vector\n",
    "#x1=np.arange(0,dx*nx-dx,dx) # Space vector\n",
    "#z=np.arange(0,(dz*nz-dz),dz) # Space vector\n",
    "#t=np.arange(0,(T-dt),dt)    # Time vector\n",
    "t=ond[:,0]\n",
    "nt=len(t)       # Number of time steps\n",
    "print(dt)\n",
    "print(dx)\n",
    "\n",
    "# Shot gathers\n",
    "seismo_vx=np.zeros((nt,n))\n",
    "seismo_vz=np.zeros((nt,n))\n",
    "seismovx=np.zeros(nt)\n",
    "seismovz=np.zeros(nt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Source signal - Ricker-wavelet\n",
    "\n",
    "# Initialise source\n",
    "#tau=np.pi*f0*(t-t0);\n",
    "#s=q0*(1-2*tau**2)*np.exp(-tau**2);\n",
    "s=ond[:,1]\n",
    "# Plotting source signal\n",
    "plt.ion()\n",
    "fig4 = plt.figure(figsize=(9,4.5))\n",
    "plt.plot(t-t0,s)\n",
    "plt.title('Source signal Ricker-Wavelet')\n",
    "plt.xlabel('Time in s')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#**********************attemuatiom(pnl)************************\n",
    "R=0.75e-0;          # theoretical reflectiom coefficiemt\n",
    "ddx=np.zeros((m,n)) \n",
    "ddz=np.zeros((m,n))\n",
    "plx=pml*dx;\n",
    "plz=pml*dz;\n",
    "for i in range(0,m):\n",
    "     for k in range(0,n):\n",
    "         # zome1\n",
    "         if i>=0 and i<=pml-1 and k>=0 and k<=pml-1:\n",
    "             z=pml-k;x=pml-i;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif i>=0 and i<=pml-1 and k>n-pml-1 and k<=n:\n",
    "             z=k-(n-pml);x=pml-i;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif i>m-pml-1 and i<=m and k>=0 and k<=pml-1:\n",
    "             z=pml-k;x=i-(m-pml);\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif i>m-pml-1 and i<=m and k>n-pml-1 and k<=n:\n",
    "             z=k-(n-pml);x=i-(m-pml);\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "  \n",
    "         # xone2\n",
    "         elif i<=pml-1 and k>pml-1 and k<n-pml:\n",
    "             z=0;x=pml-i;\n",
    "             ddz[i,k]=0;ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif  i>m-pml-1 and i<=m and k>pml-1 and k<=n-pml-1:\n",
    "             z=0;x=i-(m-pml);\n",
    "             ddz[i,k]=0;ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         # xome3\n",
    "         elif i>pml-1 and i<=m-pml-1 and k<=pml-1:\n",
    "             z=pml-k;x=0;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=0;\n",
    "         elif i>pml-1 and i<=m-pml-1 and k>n-pml-1 and k<=n:\n",
    "             z=k-(n-pml);x=0;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=0;\n",
    "             \n",
    "#ddx=np.transpose(ddx)\n",
    "#ddz=np.transpose(ddz) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot preparation\n",
    "# Initialize animated plot\n",
    "plt.ion()\n",
    "fig5 = plt.figure(figsize=(9,6))\n",
    "f1 = fig5.add_subplot(2, 2, 1)\n",
    "f2 = fig5.add_subplot(2, 2, 2)\n",
    "f3 = fig5.add_subplot(2, 2, 3)\n",
    "f4 = fig5.add_subplot(2, 2, 4)\n",
    "f1.set_title('curl')\n",
    "f2.set_title('div')\n",
    "f3.set_title('vx')\n",
    "f4.set_title('vz')\n",
    "\n",
    "curlp = f1.imshow(wx[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-10, vmax=2.5e-10, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'equal')\n",
    "divp = f2.imshow(wz[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-10, vmax=2.5e-10, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'equal')\n",
    "vxp = f3.imshow(vx[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-10, vmax=2.5e-10, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'equal')\n",
    "vzp = f4.imshow(vz[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-10, vmax=2.5e-10, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "for tt in range(1,nt):\n",
    "\n",
    "    # Inject source wavelet (explosion)\n",
    "    \n",
    "    #sxx[xscr,zscr]=sxx[xscr,zscr]+s[tt]   \n",
    "    #szz[xscr,zscr]=szz[xscr,zscr]+s[tt]\n",
    "       \n",
    "    sxx[xscr,zscr]=sxx[xscr,zscr]+(1-phi[xscr,zscr])*s[tt]\n",
    "    szz[xscr,zscr]=szz[xscr,zscr]+(1-phi[xscr,zscr])*s[tt]\n",
    "    \n",
    "    P[xscr,zscr] =P[xscr,zscr] + (1-phi[xscr,zscr])*s[tt]*(phi[xscr,zscr]/(1-phi[xscr,zscr]))\n",
    "    \n",
    "    # Free surface\n",
    "    szz[:,pml-1]=0.\n",
    "    sxz[:,pml-1]=0.\n",
    "            \n",
    "    # Update velocity\n",
    "    vx1= ((1-0.5*dt*ddx)*vx1 + A*d('x',sxx,'-')*dt - B*(d('x',P,'-')+b*wx1)*dt)/(1+0.5*dt*ddx)\n",
    "    vx2= ((1-0.5*dt*ddz)*vx2 + A*d('z',sxz,'+')*dt - B*b*wx2*dt)/(1+0.5*dt*ddz)\n",
    "    vx = vx1+vx2\n",
    "    \n",
    "    vz1=((1-0.5*dt*ddx)*vz1+A*d('x',sxz,'+')*dt-B*b*wz1*dt)/(1+0.5*dt*ddx)\n",
    "    vz2=((1-0.5*dt*ddz)*vz2+A*d('z',szz,'-')*dt-B*(d('z',P,'-')+b*wz2)*dt)/(1+0.5*dt*ddz)\n",
    "    vz = vz1+vz2 \n",
    "    \n",
    "    wx1= ((1-0.5*dt*ddx)*wx1 + B*d('x',sxx,'-')*dt + C*(d('x',P,'-')+b*wx1)*dt)/(1+0.5*dt*ddx)\n",
    "    wx2= ((1-0.5*dt*ddz)*wx2 + B*d('z',sxz,'+')*dt + C*b*wx2*dt)/(1+0.5*dt*ddz)\n",
    "    wx = wx1+wx2\n",
    "    \n",
    "    wz1=((1-0.5*dt*ddx)*wz1+B*d('x',sxz,'+')*dt+C*b*wz1*dt)/(1+0.5*dt*ddx)\n",
    "    wz2=((1-0.5*dt*ddz)*wz2+B*d('z',szz,'-')*dt+C*(d('z',P,'-')+b*wz2)*dt)/(1+0.5*dt*ddz)\n",
    "    wz = wz1+wz2          \n",
    "                       \n",
    "    # Update pressure\n",
    "    P1=((1-0.5*dt*ddx)*P1-alpha*MM*d('x',vx,'+')*dt-MM*d('x',wx,'+')*dt)/(1+0.5*dt*ddx)\n",
    "    P2=((1-0.5*dt*ddz)*P2-alpha*MM*d('z',vz,'+')*dt-MM*d('z',wz,'+')*dt)/(1+0.5*dt*ddz)\n",
    "    P = P1 + P2 \n",
    "    \n",
    "    sxx1=((1-0.5*dt*ddx)*sxx1+(lam+2*mu)*d('x',vx,'+')*dt+alpha*MM*d('x',wx,'+')*dt)/(1+0.5*dt*ddx)\n",
    "    sxx2=((1-0.5*dt*ddz)*sxx2+lam*d('z',vz,'+')*dt+alpha*MM*d('z',wz,'+')*dt)/(1+0.5*dt*ddz)\n",
    "    sxx = sxx1 + sxx2    \n",
    "\n",
    "    szz1=((1-0.5*dt*ddx)*szz1+lam*d('x',vx,'+')*dt+alpha*MM*d('x',wx,'+')*dt)/(1+0.5*dt*ddx)\n",
    "    szz2=((1-0.5*dt*ddz)*szz2+(lam+2*mu)*d('z',vz,'+')*dt+alpha*MM*d('z',wz,'+')*dt)/(1+0.5*dt*ddz) \n",
    "    szz = szz1+szz2 \n",
    "\n",
    "    sxz1=((1-0.5*dt*ddx)*sxz1+mu*dt*d('x',vz,'-'))/(1+0.5*dt*ddx)\n",
    "    sxz2=((1-0.5*dt*ddz)*sxz2+mu*dt*d('z',vx,'-'))/(1+0.5*dt*ddz)\n",
    "    sxz = sxz1+sxz2\n",
    "    \n",
    "    seismovx[tt]=vx[100,100]\n",
    "    seismovz[tt]=vz[100,100]\n",
    "    \n",
    "    seismo_vx[tt,0:n]=vx[pml,0:n]\n",
    "    seismo_vz[tt,0:n]=vz[pml,0:n]\n",
    "       \n",
    "    # Plot every time step (nt)\n",
    "    if (tt % idisp) == 0:\n",
    "        curlp.set_data(wx[pml:m-pml,pml:m-pml].transpose())\n",
    "        f1.set_title(\"Time Step (nt) = %i\" % (tt))\n",
    "        divp.set_data(wz[pml:m-pml,pml:m-pml].transpose())\n",
    "        vxp.set_data(vx[pml:m-pml,pml:m-pml].transpose())\n",
    "        vzp.set_data(vz[pml:m-pml,pml:m-pml].transpose())\n",
    "        plt.gcf().canvas.draw()\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plotting source signal\n",
    "plt.ion()\n",
    "fig6 = plt.figure(figsize=(9,4.5))\n",
    "plt.plot(t-t0,seismovx)\n",
    "plt.plot(t-t0,seismovz,'r')\n",
    "plt.xlabel('Time in s')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Shot gathers 5 pts below free surface\n",
    "    \n",
    "fac=0.1\n",
    "ymx=abs(seismo_vx).max()\n",
    "clim=np.array([-fac*ymx, fac*ymx])\n",
    "plt.ion()\n",
    "fig2 = plt.figure()\n",
    "plt.title('Common Shot Gather (horizontal component phone)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('nt')\n",
    "im = plt.imshow(seismo_vx[pml:m-pml,:].transpose(),vmin=clim.min(), vmax=clim.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,nt*dt - t0,0],aspect = 'auto')\n",
    "fig2.colorbar(im)\n",
    "plt.show()\n",
    "#plt.savefig(\"DFDT_het_2D_vx.png\", bbox_inches='tight')\n",
    "\n",
    "fac=0.1\n",
    "ymx=abs(seismo_vz[pml:m-pml,:]).max()\n",
    "clim=np.array([-fac*ymx, fac*ymx])\n",
    "plt.ion()\n",
    "fig3 = plt.figure()\n",
    "plt.title('Common Shot Gather (vertical component phone)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('nt')\n",
    "im = plt.imshow(seismo_vz[pml:m-pml,:].transpose(),vmin=clim.min(), vmax=clim.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,nt*dt - t0,0],aspect = 'auto')\n",
    "fig3.colorbar(im)\n",
    "plt.show()\n",
    "#plt.savefig(\"DFDT_het_2D_vz.png\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_vx=np.zeros((1500,1458))\n",
    "for i in range(0,1499): \n",
    "    data_vx[i,:]=seismo_vx[i*25,:]\n",
    "np.savetxt('seis_vx.txt',data_vx)\n",
    "\n",
    "data_vz=np.zeros((1500,1458))\n",
    "for i in range(0,1499): \n",
    "    data_vz[i,:]=seismo_vz[i*25,:]\n",
    "np.savetxt('seis_vz.txt',data_vz)"
   ]
  }
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