dedalus_1d_adv_diff.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solve 1D advection diffusion problem\n",
    "\n",
    "$$\n",
    "\\frac{\\partial c}{\\partial t} + w_s \\frac{\\partial c}{\\partial z} - \\frac{\\partial}{\\partial z}\\left( F\\right) =0\n",
    "$$\n",
    "\n",
    "where\n",
    "\n",
    "$$\n",
    "F=K_v \\frac{\\partial c}{\\partial z}\n",
    "$$\n",
    "\n",
    "with boundary conditions\n",
    "\n",
    "$$\n",
    "F = f(t),\\ z =0\n",
    "$$\n",
    "\n",
    "$$\n",
    "F = 0,\\ z=H\n",
    "$$\n",
    "\n",
    "$$\n",
    "F = E, \\ z=0\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Gotta find my FFTW_PATH\n",
    "!export FFTW_PATH=/path/to/your/fftw_prefix "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[sudo] password for suntans: \n"
     ]
    }
   ],
   "source": [
    "!sudo pip install dedalus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'dedalus'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-1-51d782260310>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mdedalus\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpublic\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mde\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      4\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mdedalus\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtools\u001b[0m  \u001b[0;32mimport\u001b[0m \u001b[0mpost\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'dedalus'"
     ]
    }
   ],
   "source": [
    "import time\n",
    "import numpy as np\n",
    "import dedalus.public as de\n",
    "from dedalus.tools  import post\n",
    "\n",
    "from dedalus.extras.plot_tools import quad_mesh, pad_limits\n",
    "\n",
    "\n",
    "import logging\n",
    "import matplotlib.pyplot as plt\n",
    "logger = logging.getLogger(__name__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Constants\n",
    "\n",
    "H = 10. # Depth\n",
    "\n",
    "nz = 64\n",
    "\n",
    "K = 1e-2 # Diffusivity\n",
    "ws = 1e-3 # settling velocity\n",
    "\n",
    "E = -1e-3 # constant erosion rate [c/s]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "# CReate the domain\n",
    "\n",
    "z = de.Chebyshev('z',nz,interval=[0.,H])\n",
    "domain = de.Domain([z],grid_dtype='float')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create the problem\n",
    "problem = de.IVP(domain, variables=['c','F'])\n",
    "problem.parameters['K'] = K\n",
    "problem.parameters['ws'] = ws\n",
    "problem.parameters['E'] = E\n",
    "\n",
    "\n",
    "problem.add_equation('dt(c) + ws * dz(c) - dz(F) = 0')\n",
    "problem.add_equation('F - K * dz(c) = 0')\n",
    "\n",
    "# Add the boundary conditions\n",
    "problem.add_bc('left(F) = E')\n",
    "problem.add_bc('right(F) = 0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2019-10-31 15:12:12,282 pencil 0/1 INFO :: Building pencil matrix 1/1 (~100%) Elapsed: 0s, Remaining: 0s, Rate: 8.7e+01/s\n",
      "2019-10-31 15:12:12,358 __main__ 0/1 INFO :: Time step 20\n",
      "2019-10-31 15:12:12,424 __main__ 0/1 INFO :: Time step 40\n",
      "2019-10-31 15:12:12,477 __main__ 0/1 INFO :: Time step 60\n",
      "2019-10-31 15:12:12,527 __main__ 0/1 INFO :: Time step 80\n",
      "2019-10-31 15:12:12,599 __main__ 0/1 INFO :: Time step 100\n",
      "2019-10-31 15:12:12,683 __main__ 0/1 INFO :: Time step 120\n",
      "2019-10-31 15:12:12,740 __main__ 0/1 INFO :: Time step 140\n",
      "2019-10-31 15:12:12,804 __main__ 0/1 INFO :: Time step 160\n",
      "2019-10-31 15:12:12,877 __main__ 0/1 INFO :: Time step 180\n",
      "2019-10-31 15:12:12,946 __main__ 0/1 INFO :: Time step 200\n",
      "2019-10-31 15:12:13,026 __main__ 0/1 INFO :: Time step 220\n",
      "2019-10-31 15:12:13,084 __main__ 0/1 INFO :: Time step 240\n",
      "2019-10-31 15:12:13,153 __main__ 0/1 INFO :: Time step 260\n",
      "2019-10-31 15:12:13,226 __main__ 0/1 INFO :: Time step 280\n",
      "2019-10-31 15:12:13,300 __main__ 0/1 INFO :: Time step 300\n",
      "2019-10-31 15:12:13,375 __main__ 0/1 INFO :: Time step 320\n",
      "2019-10-31 15:12:13,439 __main__ 0/1 INFO :: Time step 340\n",
      "2019-10-31 15:12:13,502 __main__ 0/1 INFO :: Time step 360\n",
      "2019-10-31 15:12:13,561 __main__ 0/1 INFO :: Time step 380\n",
      "2019-10-31 15:12:13,623 __main__ 0/1 INFO :: Time step 400\n",
      "2019-10-31 15:12:13,687 __main__ 0/1 INFO :: Time step 420\n",
      "2019-10-31 15:12:13,752 __main__ 0/1 INFO :: Time step 440\n",
      "2019-10-31 15:12:13,807 __main__ 0/1 INFO :: Time step 460\n",
      "2019-10-31 15:12:13,860 __main__ 0/1 INFO :: Time step 480\n",
      "2019-10-31 15:12:13,927 __main__ 0/1 INFO :: Time step 500\n",
      "2019-10-31 15:12:13,980 __main__ 0/1 INFO :: Time step 520\n",
      "2019-10-31 15:12:14,038 __main__ 0/1 INFO :: Time step 540\n",
      "2019-10-31 15:12:14,100 __main__ 0/1 INFO :: Time step 560\n",
      "2019-10-31 15:12:14,155 __main__ 0/1 INFO :: Time step 580\n",
      "2019-10-31 15:12:14,212 __main__ 0/1 INFO :: Time step 600\n",
      "2019-10-31 15:12:14,265 __main__ 0/1 INFO :: Time step 620\n",
      "2019-10-31 15:12:14,331 __main__ 0/1 INFO :: Time step 640\n",
      "2019-10-31 15:12:14,405 __main__ 0/1 INFO :: Time step 660\n",
      "2019-10-31 15:12:14,467 __main__ 0/1 INFO :: Time step 680\n",
      "2019-10-31 15:12:14,528 __main__ 0/1 INFO :: Time step 700\n",
      "2019-10-31 15:12:14,547 solvers 0/1 INFO :: Simulation stop time reached.\n",
      "2019-10-31 15:12:14,549 __main__ 0/1 INFO :: Total time: 2.263376\n",
      "2019-10-31 15:12:14,551 __main__ 0/1 INFO :: Iterations: 701\n",
      "2019-10-31 15:12:14,552 __main__ 0/1 INFO :: Average timestep: 0.010000\n"
     ]
    }
   ],
   "source": [
    "solver = problem.build_solver(de.timesteppers.RK443)\n",
    "\n",
    "solver.stop_sim_time = 7.\n",
    "solver.stop_wall_time = 1000.\n",
    "solver.stop_iteration = np.inf\n",
    "dt = 0.01\n",
    "\n",
    "# Store data for final plot\n",
    "# Initial conditions\n",
    "z = domain.grid(0)\n",
    "c = solver.state['c']\n",
    "\n",
    "c.set_scales(1, keep_data=True)\n",
    "c_list = [np.copy(c['g'])]\n",
    "t_list = [solver.sim_time]\n",
    "\n",
    "start_time = time.time()\n",
    "while solver.ok:\n",
    "    solver.step(dt)\n",
    "    if solver.iteration % 20 == 0:\n",
    "        logger.info(\"Time step {}\".format(solver.iteration))\n",
    "        c.set_scales(1, keep_data=True)\n",
    "        c_list.append(np.copy(c['g']))\n",
    "        t_list.append(solver.sim_time)\n",
    "end_time = time.time()\n",
    "# Print statistics\n",
    "logger.info('Total time: %f' %(end_time-start_time))\n",
    "logger.info('Iterations: %i' %solver.iteration)\n",
    "logger.info('Average timestep: %f' %(solver.sim_time/solver.iteration))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "c_array = np.array(c_list)\n",
    "t_array = np.array(t_list)\n",
    "zmesh, tmesh = quad_mesh(x=z, y=t_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
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       "    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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(zmesh, tmesh, c_array, cmap='RdBu_r')\n",
    "plt.axis(pad_limits(zmesh, tmesh))\n",
    "plt.colorbar()\n",
    "plt.ylabel('t')\n",
    "plt.xlabel('z')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((36, 64), (64,), 36)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c_array.shape, z.shape, len(t_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd2b02852e8>]"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(c_array[0,:],z)\n",
    "plt.plot(c_array[-1,:],z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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