elastic_wave_2d_staggered_poroelastic_v1_DX4_DT2_with_PML.ipynb

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    "### 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"
   ]
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  {
   "cell_type": "code",
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    "# 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": 196,
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   "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": 197,
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   "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=400          # number of grid points in x-direction\n",
    "nz=400          # number of grid points in z-direction\n",
    "T=0.40\n",
    "idisp = 10 # display frequency\n",
    "\n",
    "# The grid number of pml\n",
    "pml = 50                              \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 = int(m/2)-1;  zscr = int(n/2)-1 # Source position (in grid points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
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   "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          # 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      # Dry Compressibility in Pa\n",
    "KF=3.8e+09        # Fluid Compressibility in Pa \n",
    "Tur= 1.0          # Tortuosity\n",
    "etta =0.32e-08      # Viscosidad\n",
    "kappa =1e-15       #Permeabilidad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
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    {
     "name": "stdout",
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     "text": [
      "0.18309859154929578 16508761329.305141 0.5655589123867069 17167798962.67076 6717.692307692308 0.0004619388418998048 -8.458035133376707e-05 -0.00016434718673797018\n"
     ]
    }
   ],
   "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",
    "# Calculate Lame  Parameters\n",
    "lam=rho*(Vp**2 - 2*Vs**2)\n",
    "mu=rho*Vs**2\n",
    "phi= (rhom-rho.max())/(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\n",
    "print(phi,KDry,alpha,MM,mm,A,B,C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
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    {
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     "text": [
      "0.00025\n",
      "2.05\n"
     ]
    }
   ],
   "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",
    "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",
    "lambda_min=cmin/fmax   # Smallest wavelength\n",
    "#del Vp\n",
    "\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",
    "nt=len(t)       # Number of time steps\n",
    "print(dt)\n",
    "print(dx)\n",
    "\n",
    "seismovx=np.zeros(nt)\n",
    "seismovz=np.zeros(nt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
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       "    }\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": {
      "text/html": [
       "<div id='2178f5ec-ddc1-4f6a-8244-bd50fa229066'></div>"
      ],
      "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": {
      "text/html": [
       "<div id='f7360b6e-a4da-4618-9673-809f02d6b31b'></div>"
      ],
      "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": {
      "text/html": [
       "<div id='a8091278-389d-4c2f-ac71-def4a2d20e38'></div>"
      ],
      "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,extent=[0,(nx)*1.5,(nz)*1.5,0],aspect = 'equal')\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": 202,
   "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": {
      "text/html": [
       "<div id='c0b088ea-0567-4c93-b9f2-990c8c704115'></div>"
      ],
      "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",
    "\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": 203,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Attenuation(pml)\n",
    "R=0.5e-0;          # theoretical reflection coefficient\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",
    "         # zone1\n",
    "         if i>=0 and i<=pml-1 and k>=0 and k<=pml-1:\n",
    "             x=pml-k;z=pml-i\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2)\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2)\n",
    "         elif i>=0 and i<=pml-1 and k>m-pml-1 and k<=m:\n",
    "             x=k-(m-pml);z=pml-i\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2)\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2)\n",
    "         elif i>n-pml-1 and i<=n and k>=0 and k<=pml-1:\n",
    "             x=pml-k;z=i-(n-pml);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2)\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2)\n",
    "         elif i>n-pml-1 and i<=n and k>m-pml-1 and k<=m:\n",
    "             x=k-(m-pml);z=i-(n-pml);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2)\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2)\n",
    "  \n",
    "         # zone2\n",
    "         elif i<=pml-1 and k>pml-1 and k<m-pml:\n",
    "             x=0;z=pml-i;\n",
    "             ddx[i,k]=0\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2)\n",
    "         elif  i>n-pml-1 and i<=n and k>pml-1 and k<=m-pml-1:\n",
    "             x=0;z=i-(n-pml);\n",
    "             ddx[i,k]=0\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2)\n",
    "         # zone3\n",
    "         elif i>pml-1 and i<=n-pml-1 and k<=pml-1:\n",
    "             x=pml-k;z=0;\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2)\n",
    "             ddz[i,k]=0\n",
    "         elif i>pml-1 and i<=n-pml-1 and k>m-pml-1 and k<=m:\n",
    "             x=k-(m-pml);z=0;\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2)\n",
    "             ddz[i,k]=0\n",
    "\n",
    "ddx=np.transpose(ddx)\n",
    "ddz=np.transpose(ddz) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / 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": [
    "# 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)*s[tt]\n",
    "    szz[xscr,zscr]=szz[xscr,zscr]+(1-phi)*s[tt]\n",
    "    \n",
    "    P[xscr,zscr] =P[xscr,zscr] + (1-phi)*s[tt]*(phi/(1-phi))\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",
    "#    # Update velocity\n",
    "#    vx1=((1-0.5*dt*ddx)*vx1+(dt/rho)*d('x',sxx,'-'))/(1+0.5*dt*ddx)  \n",
    "#    vx2=((1-0.5*dt*ddz)*vx2+(dt/rho)*d('z',sxz,'-'))/(1+0.5*dt*ddz)\n",
    "#    vx = vx1+vx2\n",
    "    \n",
    "#    vz1=((1-0.5*dt*ddx)*vz1+(dt/rho)*d('x',sxz,'+'))/(1+0.5*dt*ddx)\n",
    "#    vz2=((1-0.5*dt*ddz)*vz2+(dt/rho)*d('z',szz,'+'))/(1+0.5*dt*ddz)\n",
    "#    vz = vz1+vz2            \n",
    "                       \n",
    "#    # Update pressure\n",
    "#    sxx1=((1-0.5*dt*ddx)*sxx1+(lam+2*mu)*dt*d('x',vx,'+'))/(1+0.5*dt*ddx)\n",
    "#    sxx2=((1-0.5*dt*ddz)*sxx2+lam*dt*d('z',vz,'-'))/(1+0.5*dt*ddz)\n",
    "#    sxx = sxx1 + sxx2    \n",
    "\n",
    "#    szz1=((1-0.5*dt*ddx)*szz1+lam*dt*d('x',vx,'+'))/(1+0.5*dt*ddx)\n",
    "#    szz2=((1-0.5*dt*ddz)*szz2+(lam+2*mu)*dt*d('z',vz,'-'))/(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",
    "    # 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()"
   ]
  }
 ],
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