Fusion-EKF-Sample-Visualization.ipynb

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   "source": [
    "from kalmanfilter import KalmanFilter\n",
    "from datapoint import DataPoint\n",
    "from fusionekf import FusionEKF\n",
    "from tools import get_RMSE, cartesian_to_polar\n",
    "from helpers import parse_data, get_state_estimations, print_EKF_data\n",
    "import numpy as np\n",
    "\n",
    "from bokeh.io import output_notebook, show\n",
    "from bokeh.plotting import figure\n",
    "from bokeh.models import HoverTool\n",
    "from bokeh.models import ColumnDataSource\n",
    "output_notebook()"
   ]
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   "source": [
    "lidar_R = np.matrix([[0.01, 0], \n",
    "                     [0, 0.01]])\n",
    "\n",
    "radar_R = np.matrix([[0.01, 0, 0], \n",
    "                     [0, 1.0e-6, 0], \n",
    "                     [0, 0, 0.01]])\n",
    "\n",
    "lidar_H = np.matrix([[1, 0, 0, 0],\n",
    "                     [0, 1, 0, 0]])\n",
    "\n",
    "P = np.matrix([[1, 0, 0, 0],\n",
    "               [0, 1, 0, 0],\n",
    "               [0, 0, 1000, 0], \n",
    "               [0, 0, 0, 1000]])\n",
    "\n",
    "Q = np.matrix(np.zeros([4, 4]))\n",
    "F = np.matrix(np.eye(4))\n",
    "\n",
    "d = {\n",
    "  'number_of_states': 4, \n",
    "  'initial_process_matrix': P,\n",
    "  'radar_covariance_matrix': radar_R,\n",
    "  'lidar_covariance_matrix': lidar_R, \n",
    "  'lidar_transition_matrix': lidar_H,\n",
    "  'inital_state_transition_matrix': F,\n",
    "  'initial_noise_matrix': Q, \n",
    "  'acceleration_noise_x': 5, \n",
    "  'acceleration_noise_y': 5\n",
    "}\n",
    "\n",
    "EKF = FusionEKF(d)"
   ]
  },
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   "source": [
    "all_sensor_data, all_ground_truths = parse_data(\"data/data-1.txt\")\n",
    "all_state_estimations = get_state_estimations(EKF, all_sensor_data)"
   ]
  },
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    "lidar_xs, lidar_ys = [], []\n",
    "radar_xs, radar_ys, radar_angles = [], [], []\n",
    "truth_xs, truth_ys, truth_angles = [], [], []\n",
    "state_xs, state_ys, state_angles = [], [], []\n",
    "    \n",
    "for s, t, p in zip(all_sensor_data, all_ground_truths, all_state_estimations):\n",
    "    \n",
    "  if s.get_name() == \"lidar\":\n",
    "    x, y = s.get_raw()\n",
    "    lidar_xs.append(x)\n",
    "    lidar_ys.append(y)\n",
    "  else:\n",
    "    x, y, vx, vy = s.get()\n",
    "    angle = np.arctan2(vy, vx)\n",
    "    radar_xs.append(x)\n",
    "    radar_ys.append(y)\n",
    "    radar_angles.append(angle)\n",
    "\n",
    "  x, y, vx, vy = t.get()\n",
    "  t_angle =  np.arctan2(vy, vx)\n",
    "  truth_xs.append(x)\n",
    "  truth_ys.append(y)\n",
    "  truth_angles.append(t_angle)\n",
    "\n",
    "  x, y, vx, vy = p.get()\n",
    "  p_angle =  np.arctan2(vy, vx)\n",
    "  state_xs.append(x)\n",
    "  state_ys.append(y)\n",
    "  state_angles.append(p_angle)"
   ]
  },
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    "radar_source = ColumnDataSource(data = {\n",
    "    'x' : radar_xs,\n",
    "    'y' : radar_ys,\n",
    "    'angle': radar_angles, \n",
    "})\n",
    "\n",
    "truth_source = ColumnDataSource(data = {\n",
    "    'x' : truth_xs,\n",
    "    'y' : truth_ys,\n",
    "    'angle': truth_angles, \n",
    "})\n",
    "\n",
    "state_source = ColumnDataSource(data = {\n",
    "    'x' : state_xs,\n",
    "    'y' : state_ys,\n",
    "    'angle': truth_angles, \n",
    "})\n",
    "\n",
    "lidar_source = ColumnDataSource(data = {\n",
    "    'x' : lidar_xs,\n",
    "    'y' : lidar_ys,\n",
    "})\n",
    "\n",
    "\n",
    "hover = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n"
   ]
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, y\",\"$x, $y\"],[\"angle radians\",\"@angle\"]]},\"id\":\"ded8db9d-1374-4238-aad1-2ea763305c05\",\"type\":\"HoverTool\"},{\"attributes\":{\"formatter\":{\"id\":\"f918a802-b13a-47cd-8562-788b7c0c9e6b\",\"type\":\"BasicTickFormatter\"},\"plot\":{\"id\":\"b1ee7acc-2fbe-49c0-989e-f893b0674f2a\",\"subtype\":\"Figure\",\"type\":\"Plot\"},\"ticker\":{\"id\":\"04ffd789-33f0-4385-92ba-f988c3551a81\",\"type\":\"BasicTicker\"}},\"id\":\"88fceff3-833d-40f4-bd14-9d091ad95599\",\"type\":\"LinearAxis\"},{\"attributes\":{\"angle\":{\"field\":\"angle\",\"units\":\"rad\"},\"fill_color\":{\"value\":\"#1f77b4\"},\"line_color\":{\"value\":\"grey\"},\"size\":{\"units\":\"screen\",\"value\":5},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"934e95f9-dfff-41a9-ab88-b9d8e86660ab\",\"type\":\"Cross\"},{\"attributes\":{\"callback\":null},\"id\":\"6d2de0ae-ca7d-4f25-b214-779471267a9b\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"f918a802-b13a-47cd-8562-788b7c0c9e6b\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"label\":{\"value\":\"radar measurements\"},\"renderers\":[{\"id\":\"da6ab046-bffa-41a3-a4d1-965e10d9d585\",\"type\":\"GlyphRenderer\"}]},\"id\":\"c1f9acd8-7cc9-4556-87b2-3ef5f3b13df9\",\"type\":\"LegendItem\"},{\"attributes\":{},\"id\":\"6a9cd596-d7e1-4728-9fbf-d0ff43d90519\",\"type\":\"ToolEvents\"}],\"root_ids\":[\"b1ee7acc-2fbe-49c0-989e-f893b0674f2a\"]},\"title\":\"Bokeh Application\",\"version\":\"0.12.4\"}};\n",
       "            var render_items = [{\"docid\":\"440bd231-f6f4-42a6-bd8e-5b875cffdeb7\",\"elementid\":\"826c0e6b-ec48-42f8-b250-dd90cd16d2e0\",\"modelid\":\"b1ee7acc-2fbe-49c0-989e-f893b0674f2a\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
       "          };\n",
       "          if (document.readyState != \"loading\") fn();\n",
       "          else document.addEventListener(\"DOMContentLoaded\", fn);\n",
       "        })();\n",
       "      },\n",
       "      function(Bokeh) {\n",
       "      }\n",
       "    ];\n",
       "  \n",
       "    function run_inline_js() {\n",
       "      \n",
       "      if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "        for (var i = 0; i < inline_js.length; i++) {\n",
       "          inline_js[i](window.Bokeh);\n",
       "        }if (force === true) {\n",
       "          display_loaded();\n",
       "        }} else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(run_inline_js, 100);\n",
       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"826c0e6b-ec48-42f8-b250-dd90cd16d2e0\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###################################################################\n",
    "#  RADAR MEASUREMENTS WITH ORIENTATION\n",
    "###################################################################\n",
    "\n",
    "hover2 = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n",
    "\n",
    "p = figure(plot_width = 1000, plot_height = 700, tools = [hover2])\n",
    "\n",
    "p.triangle(\n",
    "  'x', 'y', size = 10, \n",
    "  fill_color = \"firebrick\",\n",
    "  line_color = \"orange\",\n",
    "  fill_alpha = 0.2,\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"radar measurements\", \n",
    "  source = radar_source)\n",
    "\n",
    "\n",
    "p.cross(\n",
    "  'x', 'y', size = 5, \n",
    "  line_color = \"grey\",\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"radar measured velocity direction\",\n",
    "  source = radar_source)\n",
    "\n",
    "p.legend.location = \"bottom_right\"\n",
    "\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
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       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
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Application\",\"version\":\"0.12.4\"}};\n",
       "            var render_items = [{\"docid\":\"15eb905d-e0a4-49d7-aefa-781085182f80\",\"elementid\":\"bb0768c7-4696-495a-8ae7-59e7267184ce\",\"modelid\":\"da07feef-ce49-4f4c-8a7f-44bba6312884\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
       "          };\n",
       "          if (document.readyState != \"loading\") fn();\n",
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       "      function(Bokeh) {\n",
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       "        setTimeout(run_inline_js, 100);\n",
       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"bb0768c7-4696-495a-8ae7-59e7267184ce\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
      ]
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     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "###################################################################\n",
    "#  LIDAR MEASUREMENTS\n",
    "###################################################################\n",
    "\n",
    "hover3 = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n",
    "\n",
    "p = figure(plot_width = 1000, plot_height = 700, tools = [hover3])\n",
    "\n",
    "p.circle(\n",
    "  'x', 'y', size = 10, \n",
    "  fill_color = \"navy\",\n",
    "  line_color = \"teal\",\n",
    "  fill_alpha = 0.2,\n",
    "  line_width = 1, \n",
    "  legend = \"lidar measurements\", \n",
    "  source = lidar_source)\n",
    "\n",
    "p.legend.location = \"bottom_right\"\n",
    "\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
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       "\n",
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       "    <div class=\"bk-root\">\n",
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       "    </div>\n",
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       "  \n",
       "    \n",
       "    if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "      window._bokeh_timeout = Date.now() + 0;\n",
       "      window._bokeh_failed_load = false;\n",
       "    }\n",
       "  \n",
       "    var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "       \"<div style='background-color: #fdd'>\\n\"+\n",
       "       \"<p>\\n\"+\n",
       "       \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "       \"</p>\\n\"+\n",
       "       \"<ul>\\n\"+\n",
       "       \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "       \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "       \"</ul>\\n\"+\n",
       "       \"<code>\\n\"+\n",
       "       \"from bokeh.resources import INLINE\\n\"+\n",
       "       \"output_notebook(resources=INLINE)\\n\"+\n",
       "       \"</code>\\n\"+\n",
       "       \"</div>\"}};\n",
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       "      delete window._bokeh_onload_callbacks\n",
       "      console.info(\"Bokeh: all callbacks have finished\");\n",
       "    }\n",
       "  \n",
       "    function load_libs(js_urls, callback) {\n",
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       "      if (js_urls == null || js_urls.length === 0) {\n",
       "        run_callbacks();\n",
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       "      console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "      window._bokeh_is_loading = js_urls.length;\n",
       "      for (var i = 0; i < js_urls.length; i++) {\n",
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       "          if (window._bokeh_is_loading === 0) {\n",
       "            console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
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       "        };\n",
       "        s.onerror = function() {\n",
       "          console.warn(\"failed to load library \" + url);\n",
       "        };\n",
       "        console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "        document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
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       "    };var element = document.getElementById(\"4de301b6-d66b-4dd0-a0a1-cc21a00906f8\");\n",
       "    if (element == null) {\n",
       "      console.log(\"Bokeh: ERROR: autoload.js configured with elementid '4de301b6-d66b-4dd0-a0a1-cc21a00906f8' but no matching script tag was found. \")\n",
       "      return false;\n",
       "    }\n",
       "  \n",
       "    var js_urls = [];\n",
       "  \n",
       "    var inline_js = [\n",
       "      function(Bokeh) {\n",
       "        (function() {\n",
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       "            var render_items = [{\"docid\":\"8486643a-7006-4357-867b-0ed517938f9e\",\"elementid\":\"4de301b6-d66b-4dd0-a0a1-cc21a00906f8\",\"modelid\":\"ba6e35aa-ae57-4a77-a150-48ad0091893a\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
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       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"4de301b6-d66b-4dd0-a0a1-cc21a00906f8\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
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     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "###################################################################\n",
    "#  GROUND TRUTH WITH ORIENTATION\n",
    "###################################################################\n",
    "\n",
    "hover4 = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n",
    "\n",
    "p = figure(plot_width = 1000, plot_height = 700, tools = [hover4])\n",
    "\n",
    "p.triangle(\n",
    "  'x', 'y', size = 15, \n",
    "  fill_color = \"red\",\n",
    "  line_color = \"white\",\n",
    "  fill_alpha = 0.2,\n",
    "  angle = 'angle', \n",
    "  line_width = 1,\n",
    "  legend = \"ground truth\",\n",
    "  source = truth_source)\n",
    "\n",
    "\n",
    "p.cross(\n",
    "  'x', 'y', size = 5, \n",
    "  line_color = \"grey\",\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"velocity direction\", \n",
    "  source = truth_source)\n",
    "\n",
    "p.legend.location = \"bottom_right\"\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
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       "    \n",
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       "      window._bokeh_timeout = Date.now() + 0;\n",
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       "  \n",
       "    var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "       \"<div style='background-color: #fdd'>\\n\"+\n",
       "       \"<p>\\n\"+\n",
       "       \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "       \"</p>\\n\"+\n",
       "       \"<ul>\\n\"+\n",
       "       \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "       \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
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       "            var render_items = [{\"docid\":\"eff11727-aec9-4750-b827-db276e9722c6\",\"elementid\":\"89ece419-0786-4396-a3cc-e5aae9670d2e\",\"modelid\":\"1d83cd5e-7aa7-46eb-baf2-c77f887cac38\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
       "          };\n",
       "          if (document.readyState != \"loading\") fn();\n",
       "          else document.addEventListener(\"DOMContentLoaded\", fn);\n",
       "        })();\n",
       "      },\n",
       "      function(Bokeh) {\n",
       "      }\n",
       "    ];\n",
       "  \n",
       "    function run_inline_js() {\n",
       "      \n",
       "      if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "        for (var i = 0; i < inline_js.length; i++) {\n",
       "          inline_js[i](window.Bokeh);\n",
       "        }if (force === true) {\n",
       "          display_loaded();\n",
       "        }} else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(run_inline_js, 100);\n",
       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"89ece419-0786-4396-a3cc-e5aae9670d2e\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###################################################################\n",
    "#  STATE WITH ORIENTATION\n",
    "###################################################################\n",
    "\n",
    "hover5 = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n",
    "\n",
    "p = figure(plot_width = 1000, plot_height = 700, tools = [hover5])\n",
    "\n",
    "p.triangle(\n",
    "  'x', 'y', size = 20, \n",
    "  fill_color = \"teal\",\n",
    "  line_color = \"white\",\n",
    "  fill_alpha = 0.2,\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"state prediction: location\", \n",
    "  source = state_source)\n",
    "\n",
    "\n",
    "p.x(\n",
    "  'x', 'y', size = 5, \n",
    "  line_color = \"grey\",\n",
    "  angle = 'angle', \n",
    "  line_width = 1,\n",
    "  legend = \"state prediction: velocity directions\",\n",
    "  source = state_source)\n",
    "\n",
    "p.legend.location = \"bottom_right\"\n",
    "\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <div class=\"bk-plotdiv\" id=\"3bbb4f87-2e52-4f43-b145-8054c839960c\"></div>\n",
       "    </div>\n",
       "<script type=\"text/javascript\">\n",
       "  \n",
       "  (function(global) {\n",
       "    function now() {\n",
       "      return new Date();\n",
       "    }\n",
       "  \n",
       "    var force = false;\n",
       "  \n",
       "    if (typeof (window._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
       "      window._bokeh_onload_callbacks = [];\n",
       "      window._bokeh_is_loading = undefined;\n",
       "    }\n",
       "  \n",
       "  \n",
       "    \n",
       "    if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "      window._bokeh_timeout = Date.now() + 0;\n",
       "      window._bokeh_failed_load = false;\n",
       "    }\n",
       "  \n",
       "    var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "       \"<div style='background-color: #fdd'>\\n\"+\n",
       "       \"<p>\\n\"+\n",
       "       \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "       \"</p>\\n\"+\n",
       "       \"<ul>\\n\"+\n",
       "       \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "       \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "       \"</ul>\\n\"+\n",
       "       \"<code>\\n\"+\n",
       "       \"from bokeh.resources import INLINE\\n\"+\n",
       "       \"output_notebook(resources=INLINE)\\n\"+\n",
       "       \"</code>\\n\"+\n",
       "       \"</div>\"}};\n",
       "  \n",
       "    function display_loaded() {\n",
       "      if (window.Bokeh !== undefined) {\n",
       "        document.getElementById(\"3bbb4f87-2e52-4f43-b145-8054c839960c\").textContent = \"BokehJS successfully loaded.\";\n",
       "      } else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(display_loaded, 100)\n",
       "      }\n",
       "    }\n",
       "  \n",
       "    function run_callbacks() {\n",
       "      window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "      delete window._bokeh_onload_callbacks\n",
       "      console.info(\"Bokeh: all callbacks have finished\");\n",
       "    }\n",
       "  \n",
       "    function load_libs(js_urls, callback) {\n",
       "      window._bokeh_onload_callbacks.push(callback);\n",
       "      if (window._bokeh_is_loading > 0) {\n",
       "        console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "        return null;\n",
       "      }\n",
       "      if (js_urls == null || js_urls.length === 0) {\n",
       "        run_callbacks();\n",
       "        return null;\n",
       "      }\n",
       "      console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "      window._bokeh_is_loading = js_urls.length;\n",
       "      for (var i = 0; i < js_urls.length; i++) {\n",
       "        var url = js_urls[i];\n",
       "        var s = document.createElement('script');\n",
       "        s.src = url;\n",
       "        s.async = false;\n",
       "        s.onreadystatechange = s.onload = function() {\n",
       "          window._bokeh_is_loading--;\n",
       "          if (window._bokeh_is_loading === 0) {\n",
       "            console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "            run_callbacks()\n",
       "          }\n",
       "        };\n",
       "        s.onerror = function() {\n",
       "          console.warn(\"failed to load library \" + url);\n",
       "        };\n",
       "        console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "        document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "      }\n",
       "    };var element = document.getElementById(\"3bbb4f87-2e52-4f43-b145-8054c839960c\");\n",
       "    if (element == null) {\n",
       "      console.log(\"Bokeh: ERROR: autoload.js configured with elementid '3bbb4f87-2e52-4f43-b145-8054c839960c' but no matching script tag was found. \")\n",
       "      return false;\n",
       "    }\n",
       "  \n",
       "    var js_urls = [];\n",
       "  \n",
       "    var inline_js = [\n",
       "      function(Bokeh) {\n",
       "        (function() {\n",
       "          var fn = function() {\n",
       "            var docs_json = 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Application\",\"version\":\"0.12.4\"}};\n",
       "            var render_items = [{\"docid\":\"76483072-fe64-4128-b365-7af6c3fdbc87\",\"elementid\":\"3bbb4f87-2e52-4f43-b145-8054c839960c\",\"modelid\":\"aebdc37a-f1de-433e-8702-34c6a1e13536\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
       "          };\n",
       "          if (document.readyState != \"loading\") fn();\n",
       "          else document.addEventListener(\"DOMContentLoaded\", fn);\n",
       "        })();\n",
       "      },\n",
       "      function(Bokeh) {\n",
       "      }\n",
       "    ];\n",
       "  \n",
       "    function run_inline_js() {\n",
       "      \n",
       "      if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "        for (var i = 0; i < inline_js.length; i++) {\n",
       "          inline_js[i](window.Bokeh);\n",
       "        }if (force === true) {\n",
       "          display_loaded();\n",
       "        }} else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(run_inline_js, 100);\n",
       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"3bbb4f87-2e52-4f43-b145-8054c839960c\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hover6 = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n",
    "\n",
    "p = figure(plot_width = 1000, plot_height = 700, tools = [hover6])\n",
    "\n",
    "p.square(\n",
    "  'x', 'y', size = 3, \n",
    "  fill_color = \"orange\",\n",
    "  line_color = \"orange\",\n",
    "  fill_alpha = 1,\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"radar measurements\", \n",
    "  source = radar_source)\n",
    "\n",
    "p.circle(\n",
    "  'x', 'y', size = 15, \n",
    "  fill_color = \"green\",\n",
    "  line_color = \"white\",\n",
    "  fill_alpha = 0.2,\n",
    "  line_width = 1, \n",
    "  legend = \"lidar measurements\", \n",
    "  source = lidar_source)\n",
    "\n",
    "p.triangle(\n",
    "  'x', 'y', size = 7, \n",
    "  fill_color = \"violet\",\n",
    "  line_color = \"violet\",\n",
    "  fill_alpha = 1,\n",
    "  angle = 'angle', \n",
    "  line_width = 0.5, \n",
    "  legend = \"ground truth\",\n",
    "  source = truth_source)\n",
    "\n",
    "\n",
    "p.triangle(\n",
    "  'x', 'y', size = 2, \n",
    "  fill_color = \"black\",\n",
    "  line_color = \"black\",\n",
    "  fill_alpha = 1,\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"state predictions\", \n",
    "  source = state_source)\n",
    "\n",
    "p.legend.location = \"bottom_right\"\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
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       "       \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
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       "            var render_items = [{\"docid\":\"fcf486f9-08e6-4e02-9bd9-d91081fae8a2\",\"elementid\":\"8cea5e44-3058-4032-aa78-ec1d440817f6\",\"modelid\":\"aa297ae8-7886-4f9a-bb90-235b3bb7a3cb\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
       "          };\n",
       "          if (document.readyState != \"loading\") fn();\n",
       "          else document.addEventListener(\"DOMContentLoaded\", fn);\n",
       "        })();\n",
       "      },\n",
       "      function(Bokeh) {\n",
       "      }\n",
       "    ];\n",
       "  \n",
       "    function run_inline_js() {\n",
       "      \n",
       "      if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "        for (var i = 0; i < inline_js.length; i++) {\n",
       "          inline_js[i](window.Bokeh);\n",
       "        }if (force === true) {\n",
       "          display_loaded();\n",
       "        }} else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(run_inline_js, 100);\n",
       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"8cea5e44-3058-4032-aa78-ec1d440817f6\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hover7 = HoverTool( tooltips = [\n",
    "            (\"index\", \"$index\"),\n",
    "            (\"x , y\", \"$x, $y\"),\n",
    "            (\"angle radians\", \"@angle\")])\n",
    "\n",
    "p = figure(plot_width = 1000, plot_height = 700, tools = [hover7])\n",
    "\n",
    "p.square(\n",
    "  'x', 'y', size = 3, \n",
    "  fill_color = \"violet\",\n",
    "  line_color = \"violet\",\n",
    "  fill_alpha = 1,\n",
    "  angle = 'angle', \n",
    "  line_width = 1, \n",
    "  legend = \"radar measurements\", \n",
    "  source = radar_source)\n",
    "\n",
    "p.circle(\n",
    "  'x', 'y', size = 10, \n",
    "  fill_color = \"green\",\n",
    "  line_color = \"white\",\n",
    "  fill_alpha = 0.4,\n",
    "  line_width = 1, \n",
    "  legend = \"lidar measurements\", \n",
    "  source = lidar_source)\n",
    "\n",
    "p.line(state_xs, state_ys, line_width = 2, color='orange', legend = \"state predictions\")\n",
    "p.line(truth_xs, truth_ys, line_dash = \"4 4\", line_width = 1, color='navy', legend = \"ground truth\")\n",
    "\n",
    "p.legend.location = \"bottom_right\"\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": []
  }
 ],
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