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   "source": [
    "![CDS 411 logo](../../img/cds-411-logo.png)\n",
    "\n",
    "# Interactive plots: Undamped oscillator\n",
    "\n",
    "---\n",
    "\n",
    "![CC BY-SA 4.0 license](../../img/cc-by-sa.png)\n",
    "\n",
    "This notebook is licensed under a [Creative Commons Attribution-ShareAlike 4.0 International License](http://creativecommons.org/licenses/by-sa/4.0/)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load packages"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You will need to have the following packages installed in order to run this notebook:\n",
    "\n",
    "*   `ipython`\n",
    "*   `ipywidgets`\n",
    "*   `matplotlib`\n",
    "*   `numpy`\n",
    "*   `pandas`\n",
    "\n",
    "The interactive dashboard will run fine in regular Jupyter notebook mode, launch it by running,\n",
    "\n",
    "```bash\n",
    "jupyter notebook\n",
    "```\n",
    "\n",
    "**To get this to work in Jupyter Lab**, you need to first run the following on the command line,\n",
    "\n",
    "```bash\n",
    "jupyter labextension install @jupyter-widgets/jupyterlab-manager\n",
    "```\n",
    "\n",
    "After successfully installing the `@jupyter-widgets/jupyterlab-manager` JupyterLab extension, launch JupyterLab:\n",
    "\n",
    "```bash\n",
    "jupyter lab\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from IPython.display import clear_output, display\n",
    "from ipywidgets import interact, interactive, fixed, FloatSlider, FloatText, RadioButtons\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import undamped_oscillator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define interactive function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sim_plot(\n",
    "    sim_time,\n",
    "    delta_t,\n",
    "    method,\n",
    "):\n",
    "    simulation_df = undamped_oscillator.simulation(\n",
    "        sim_time=sim_time,\n",
    "        delta_t=delta_t,\n",
    "        method=method,\n",
    "    )\n",
    "    \n",
    "    figwidth = 5  # inches\n",
    "    figheight = 0.618 * figwidth  # golden ratio\n",
    "    figsize = (figwidth, 1.5 * figheight)\n",
    "    \n",
    "    fig, ax = plt.subplots(nrows=2, ncols=1, figsize=figsize, dpi=120, sharex=True);\n",
    "    \n",
    "    ax[0].plot(simulation_df[\"time\"], simulation_df[\"length\"], \"-\")\n",
    "    ax[1].plot(simulation_df[\"time\"], simulation_df[\"velocity\"], \"-\")\n",
    "    ax[0].set_xlabel(\"time (s)\")\n",
    "    ax[0].set_ylabel(\"length (m)\")\n",
    "    ax[1].set_xlabel(\"time (s)\")\n",
    "    ax[1].set_ylabel(\"velocity (m/s)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup dashboard"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "integration_methods = [\"forward\", \"midpoint\", \"leapfrog\"]\n",
    "\n",
    "sim_time = FloatSlider(\n",
    "    description=\"sim_time\",\n",
    "    value=5.0,\n",
    "    min=1,\n",
    "    max=10,\n",
    "    step=1,\n",
    ")\n",
    "delta_t = FloatText(\n",
    "    description=\"delta_t\",\n",
    "    value=0.01,\n",
    ")\n",
    "method = RadioButtons(\n",
    "    options=integration_methods,\n",
    "    description=\"integration method\",\n",
    ")\n",
    "\n",
    "interactive_window = interactive(\n",
    "    sim_plot,\n",
    "    sim_time=sim_time,\n",
    "    delta_t=delta_t,\n",
    "    method=method,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c30914ab484542908279ec7c34fb91ab",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=5.0, description='sim_time', max=10.0, min=1.0, step=1.0), FloatText(v…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(interactive_window)"
   ]
  }
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