03_3d_systems.ipynb

{
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "from ipynb.fs.defs.utilities import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Customized color bar 1\n",
    "\n",
    "N = 256\n",
    "vals = np.ones((N, 4))\n",
    "vals[:, 0] = np.linspace(70/256, 177/256, N)\n",
    "vals[:, 1] = np.linspace(130/256, 78/256, N)\n",
    "vals[:, 2] = np.linspace(180/256, 132/256, N)\n",
    "newcmp = ListedColormap(vals)\n",
    "\n",
    "#Customized color bar 2\n",
    "\n",
    "vals = np.ones((N, 4))\n",
    "vals_seg1 = np.ones((N, 4))\n",
    "vals_seg2 = np.ones((N, 4))\n",
    "\n",
    "col1 = [70, 130, 180]\n",
    "col2 = [214, 244, 255]\n",
    "col3 = [227, 158, 33]\n",
    " \n",
    "\n",
    "vals_seg1[:, 0] = np.linspace(col1[0]/256, col2[0]/256, N)\n",
    "vals_seg1[:, 1] = np.linspace(col1[1]/256, col2[1]/256, N)\n",
    "vals_seg1[:, 2] = np.linspace(col1[2]/256, col2[2]/256, N)\n",
    "\n",
    "vals_seg2[:, 0] = np.linspace(col2[0]/256, col3[0]/256, N)\n",
    "vals_seg2[:, 1] = np.linspace(col2[1]/256, col3[1]/256, N)\n",
    "vals_seg2[:, 2] = np.linspace(col2[2]/256, col3[2]/256, N)\n",
    "\n",
    "vals = np.concatenate((vals_seg1,vals_seg2))\n",
    "\n",
    "cmp_blue_3col = ListedColormap(vals)\n",
    "cmp_blue_3col_inv = ListedColormap(cmp_blue_3col.colors[::-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Workspace and analysis of 3d electromagnetic navigation systems\n",
    "\n",
    "Demonstration of the workspace computation and analysis on 3d cases of electromagnetic navigation systems. This includes cases for three-coil and eight-coil systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-coil systems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load systems calibration\n",
    "cal_path_mns2 = 'models/mns_3coils_triangle.yaml'\n",
    "model2 = ForwardModelMPEM()\n",
    "model2.setCalibrationFile(cal_path_mns2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nx = 100\n",
    "Ny = 100\n",
    "Nz = 7\n",
    "\n",
    "#Build initial box\n",
    "pmin = [-0.15,-0.15,-0.1]\n",
    "pmax = [0.15,0.15,0.1]\n",
    "\n",
    "#Define inputs interval and task set\n",
    "Imin = -3\n",
    "Imax = 3\n",
    "bmin = -0.02\n",
    "bmax = 0.02\n",
    "\n",
    "p_ws_2_in, p_ws_2_out,p_ws_2_side, kappa_2, mu_2, gci_2, minDist = Ws3DFieldDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,bmin,bmax,Imin,Imax,model2,'ellipsoid')\n",
    "\n",
    "Nx = 1\n",
    "Ny = 100\n",
    "Nz = 100\n",
    "\n",
    "#Build initial box\n",
    "pmin = [0,-0.15,-0.1]\n",
    "pmax = [0.,0.15,0.1]\n",
    "\n",
    "p_x_in, p_x_out,p_x_side, kappa_1x, mu_1x, gci_1x, minDist  = Ws3DFieldDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,bmin,bmax,Imin,Imax,model2,'ellipsoid')\n",
    "\n",
    "Nx = 100\n",
    "Ny = 1\n",
    "Nz = 100\n",
    "\n",
    "#Build initial box\n",
    "pmin = [-0.15,0.,-0.1]\n",
    "pmax = [0.15,0.,0.1]\n",
    "\n",
    "p_y_in, p_y_out,p_y_side, kappa_1y, mu_1y, gci_1y, minDist  = Ws3DFieldDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,bmin,bmax,Imin,Imax,model2,'ellipsoid')\n",
    "\n",
    "\n",
    "Nx = 100\n",
    "Ny = 100\n",
    "Nz = 1\n",
    "\n",
    "#Build initial box\n",
    "pmin = [-0.15,-0.15,0.]\n",
    "pmax = [0.15,0.15,0.]\n",
    "\n",
    "p_z_in, p_z_out,p_z_side, kappa_1z, mu_1z, gci_1z, minDist  = Ws3DFieldDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,bmin,bmax,Imin,Imax,model2,'ellipsoid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='4ce12065-8f02-4388-9491-d26f9f1fc723'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "ename": "TypeError",
     "evalue": "gca() got an unexpected keyword argument 'projection'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-5-f282c6967291>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0max\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgca\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mprojection\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'3d'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mproj_type\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'ortho'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m \u001b[0ms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp_ws_2_in\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp_ws_2_in\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp_ws_2_in\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1.\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mp_ws_2_in\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mpmin\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mcmap\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnewcmp\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mrasterized\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp_ws_2_side\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp_ws_2_side\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp_ws_2_side\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'black'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0malpha\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1.\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1.\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrasterized\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mTypeError\u001b[0m: gca() got an unexpected keyword argument 'projection'"
     ]
    }
   ],
   "source": [
    "coil_length = 0.04\n",
    "coil_radius = 0.02\n",
    "lim = 0.17\n",
    "\n",
    "fig = plt.figure(figsize=(6, 5))\n",
    "\n",
    "\n",
    "ax = fig.gca(projection='3d',proj_type = 'ortho')\n",
    "s = ax.scatter(p_ws_2_in[:,0],p_ws_2_in[:,1],p_ws_2_in[:,2], alpha=1., s = 10, c=p_ws_2_in[:,2]-pmin[2],cmap = newcmp,rasterized=True)\n",
    "ax.scatter(p_ws_2_side[:,0],p_ws_2_side[:,1],p_ws_2_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "PlotCoils3D(coil_length,coil_radius,cal_path_mns2,ax)\n",
    "ax.set_xlim(-lim, lim)\n",
    "ax.set_ylim(-lim, lim)\n",
    "ax.set_zlim(-lim, lim)\n",
    "\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "ax.set_title('MFW of a 3-coil system')\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.zaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "\n",
    "plt.colorbar(s)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"1000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 3))\n",
    "\n",
    "lim = 0.15\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(131)\n",
    "ax.scatter(p_z_in[:,0],p_z_in[:,1],alpha=1., s = 10, color=\"#7B679B\", rasterized=True)\n",
    "\n",
    "ax.set_xlim(-0.2, 0.2)\n",
    "ax.set_ylim(-0.2, 0.2)\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.set_aspect('equal')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(132)\n",
    "ax.scatter(p_x_in[:,1],p_x_in[:,2],alpha=1., s = 10, c=p_x_in[:,2]-pmin[2],cmap = newcmp, rasterized=True)\n",
    "\n",
    "ax.set_xlim(-0.15, 0.15)\n",
    "ax.set_ylim(-0.15, 0.15)\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.set_aspect('equal')\n",
    "ax.set_xlabel('y')\n",
    "ax.set_ylabel('z')\n",
    "\n",
    "ax = fig.add_subplot(133)\n",
    "ax.scatter(p_y_in[:,0],p_y_in[:,2],alpha=1., s = 10, c=p_y_in[:,2]-pmin[2],cmap = newcmp, rasterized=True)\n",
    "ax.axis('equal')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('z')\n",
    "\n",
    "ax.set_xlim(-0.15, 0.15)\n",
    "ax.set_ylim(-0.15, 0.15)\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.set_aspect('equal')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eight-coil system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load systems calibration\n",
    "cal_path_mns3 = 'models/mns_8coils_octomag.yaml'\n",
    "model3 = ForwardModelMPEM()\n",
    "model3.setCalibrationFile(cal_path_mns3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Dimensions for coils representation\n",
    "coil_length = 0.05\n",
    "coil_radius = 0.015\n",
    "\n",
    "Nx = 50\n",
    "Ny = 50\n",
    "Nz = 4\n",
    "\n",
    "#Build initial box\n",
    "pmin = [-0.1,-0.1,-0.025]\n",
    "pmax = [0.1,0.1,0.085]\n",
    "\n",
    "#Define inputs interval and task set\n",
    "Imin = -1\n",
    "Imax = 1\n",
    "\n",
    "bmin = -0.09\n",
    "bmax = 0.09\n",
    "\n",
    "gmin = -0.5\n",
    "gmax = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Field\n",
    "p_ws_3_field_in, p_ws_3_field_out, p_ws_3_field_side, kappa_3_field, mu_3_field, gci_3_field, ad_3_field = Ws3DFieldDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,bmin,bmax,Imin,Imax,model3,'ellipsoid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Gradient\n",
    "p_ws_3_gradient_in, p_ws_3_gradient_out, p_ws_3_gradient_side, kappa_3_gradient, mu_3_gradient, gci_3_gradient, ad_3_gradient = Ws3DGradientDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,gmin,gmax,Imin,Imax,model3,'ellipsoid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Field and gradient\n",
    "p_ws_3_bg_in, p_ws_3_bg_out, p_ws_3_bg_side, kappa_3_bg, mu_3_bg, gci_3_bg, ad_3_bg = Ws3DFieldGradientDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,-0.01,0.01,-0.05,0.05,-5,5,model3,'ellipsoid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\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=\"1000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,3))\n",
    "\n",
    "coil_length = 0.04\n",
    "coil_radius = 0.02\n",
    "\n",
    "ax = fig.add_subplot(131,projection='3d',proj_type = 'ortho')\n",
    "s = ax.scatter(p_ws_3_field_in[:,0],p_ws_3_field_in[:,1],p_ws_3_field_in[:,2], alpha=1., s = 10, c=p_ws_3_field_in[:,2]-pmin[2],cmap = newcmp,rasterized=True)\n",
    "ax.scatter(p_ws_3_field_side[:,0],p_ws_3_field_side[:,1],p_ws_3_field_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "PlotCoils3D(coil_length,coil_radius,cal_path_mns3,ax,True)\n",
    "ax.set_title('Feasible field')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "plt.show()\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.zaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(132,projection='3d',proj_type = 'ortho')\n",
    "s = ax.scatter(p_ws_3_gradient_in[:,0],p_ws_3_gradient_in[:,1],p_ws_3_gradient_in[:,2], alpha=1., s = 10, c=p_ws_3_gradient_in[:,2]-pmin[2],cmap = newcmp,rasterized=True)\n",
    "ax.scatter(p_ws_3_gradient_side[:,0],p_ws_3_gradient_side[:,1],p_ws_3_gradient_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "PlotCoils3D(coil_length,coil_radius,cal_path_mns3,ax,True)\n",
    "ax.set_title('Feasible gradient')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "plt.show()\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.zaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(133,projection='3d',proj_type = 'ortho')\n",
    "s = ax.scatter(p_ws_3_bg_in[:,0],p_ws_3_bg_in[:,1],p_ws_3_bg_in[:,2], alpha=1., s = 10, c=p_ws_3_bg_in[:,2],cmap = newcmp,rasterized=True)\n",
    "ax.scatter(p_ws_3_bg_side[:,0],p_ws_3_bg_side[:,1],p_ws_3_bg_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "PlotCoils3D(coil_length,coil_radius,cal_path_mns3,ax,True)\n",
    "ax.set_title('Feasible field and gradient')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "plt.show()\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.zaxis.set_major_locator(plt.MaxNLocator(3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nx = 1\n",
    "Ny = 100\n",
    "Nz = 100\n",
    "\n",
    "#Build initial box\n",
    "pmin = [0.,-0.1,-0.025]\n",
    "pmax = [0.,0.1,0.085]\n",
    "\n",
    "p_ws_3_field_x_in, p_ws_3_field_x_out, p_ws_3_field_x_side, kappa_3_field_x, mu_3_field_x, gci_3_field_x, ad_3_field_x = Ws3DFieldDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,bmin,bmax,Imin,Imax,model3,'ellipsoid')\n",
    "p_ws_3_gradient_x_in, p_ws_3_gradient_x_out, p_ws_3_gradient_x_side, kappa_3_gradient_x, mu_3_gradient_x, gci_3_gradient_x, ad_3_gradient_x = Ws3DGradientDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,gmin,gmax,Imin,Imax,model3,'ellipsoid')\n",
    "p_ws_3_bg_x_in, p_ws_3_bg_x_out, p_ws_3_bg_x_side, kappa_3_bg_x, mu_3_bg_x, gci_3_bg_x, ad_3_bg_x = Ws3DFieldGradientDeterminationDiscr(Nx,Ny,Nz,pmin,pmax,-0.01,0.01,-0.05,0.05,-5,5,model3,'ellipsoid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
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\" width=\"1000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 2))\n",
    "\n",
    "ax = fig.add_subplot(131)\n",
    "s = ax.scatter(p_ws_3_field_x_in[:,1],p_ws_3_field_x_in[:,2],alpha=1., s = 10, c=ad_3_field_x,cmap = cmp_blue_3col_inv,rasterized=True, vmin = 0, vmax = ad_3_field_x.max())\n",
    "ax.scatter(p_ws_3_field_x_side[:,1],p_ws_3_field_x_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "ax.set_title('Feasible field')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "plt.colorbar(s, ticks=[0., 0.05, 0.1])\n",
    "plt.show()\n",
    "ax.axis('equal')\n",
    "ax.axis('off')\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(132)\n",
    "s = ax.scatter(p_ws_3_gradient_x_in[:,1],p_ws_3_gradient_x_in[:,2], alpha=1., s = 10, c=ad_3_gradient_x,cmap = cmp_blue_3col_inv,rasterized=True, vmin = 0, vmax = ad_3_gradient_x.max())\n",
    "ax.scatter(p_ws_3_gradient_x_side[:,1],p_ws_3_gradient_x_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "ax.set_title('Feasible gradient')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "plt.colorbar(s)\n",
    "plt.show()\n",
    "ax.axis('equal')\n",
    "ax.axis('off')\n",
    "\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(133)\n",
    "s = ax.scatter(p_ws_3_bg_x_in[:,1],p_ws_3_bg_x_in[:,2], alpha=1., s = 10,  c=ad_3_bg_x,cmap = cmp_blue_3col_inv,rasterized=True, vmin = 0, vmax = ad_3_bg_x.max())\n",
    "ax.scatter(p_ws_3_bg_x_side[:,1],p_ws_3_bg_x_side[:,2], color='black',alpha=1., s = 1., rasterized=True)\n",
    "ax.set_title('Feasible field and gradient')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "plt.colorbar(s)\n",
    "plt.show()\n",
    "ax.axis('equal')\n",
    "ax.axis('off')\n",
    "\n",
    "\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "ax.yaxis.set_major_locator(plt.MaxNLocator(3))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}