04-uproot.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br><br><br><br>\n",
    "\n",
    "# uproot: Python-native ROOT I/O\n",
    "\n",
    "<br><br><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br><br><br>\n",
    "\n",
    "<center><img src=\"img/uproot-logo.png\" width=\"40%\"></center>\n",
    "\n",
    "<br><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "\n",
    "<p style=\"font-size: 1.25em\">Reminder: uproot is a reimplementation of ROOT I/O in Python, using Numpy for speed and awkward-array to represent complex data.</p>\n",
    "\n",
    "<br>\n",
    "\n",
    "<center><img src=\"img/abstraction-layers.png\" width=\"80%\"></center>\n",
    "\n",
    "<br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "file is a read-only dict, from object names to objects:\n",
      "\n",
      "file.keys()                  → [b'one;1', b'three;1']\n",
      "\n",
      "file['one'].keys()           → [b'two;1', b'tree;1']\n",
      "\n",
      "file['one']['two'].classes() → {b'tree;1': <class 'uproot.rootio.TTree'>}\n",
      "\n",
      "file['one']['two']['tree']   → <TTree b'tree' at 0x7ba3040ccdd8>\n",
      "\n",
      "file['one/two/tree']         → <TTree b'tree' at 0x7ba328077160>\n"
     ]
    }
   ],
   "source": [
    "# We've been using uproot for many of our examples so far.\n",
    "# As a re-write of ROOT I/O in Python, uproot presents the data in a Pythonic way:\n",
    "\n",
    "import uproot, numpy\n",
    "file = uproot.open(\"http://scikit-hep.org/uproot/examples/nesteddirs.root\")\n",
    "\n",
    "print(\"file is a read-only dict, from object names to objects:\\n\")\n",
    "print(f\"file.keys()                  → {file.keys()}\\n\")\n",
    "print(f\"file['one'].keys()           → {file['one'].keys()}\\n\")\n",
    "print(f\"file['one']['two'].classes() → {dict(file['one']['two'].classes())}\\n\")\n",
    "print(f\"file['one']['two']['tree']   → {file['one']['two']['tree']}\\n\")\n",
    "print(f\"file['one/two/tree']         → {file['one/two/tree']}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[b'Type',\n",
       " b'Run',\n",
       " b'Event',\n",
       " b'E1',\n",
       " b'px1',\n",
       " b'py1',\n",
       " b'pz1',\n",
       " b'pt1',\n",
       " b'eta1',\n",
       " b'phi1',\n",
       " b'Q1',\n",
       " b'E2',\n",
       " b'px2',\n",
       " b'py2',\n",
       " b'pz2',\n",
       " b'pt2',\n",
       " b'eta2',\n",
       " b'phi2',\n",
       " b'Q2',\n",
       " b'M']"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# TBranches of TTrees are also presented as dicts.\n",
    "events = uproot.open(\"data/Zmumu.root\")[\"events\"]\n",
    "events.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "       81.27013558, 81.56621735])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get an array with TBranch.array().\n",
    "\n",
    "events[\"E1\"].array()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "       81.27013558, 81.56621735])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Or TTree.array(branchname).\n",
    "\n",
    "events.array(\"E1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{b'E1': array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "        81.27013558, 81.56621735])}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The plural form, arrays, returns a dict from branch names to arrays.\n",
    "\n",
    "events.arrays(\"E1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{b'E1': array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "        81.27013558, 81.56621735]),\n",
       " b'px1': array([-41.19528764,  35.11804977,  35.11804977, ...,  32.37749196,\n",
       "         32.37749196,  32.48539387]),\n",
       " b'py1': array([ 17.4332439 , -16.57036233, -16.57036233, ...,   1.19940578,\n",
       "          1.19940578,   1.2013503 ]),\n",
       " b'pz1': array([-68.96496181, -48.77524654, -48.77524654, ..., -74.53243061,\n",
       "        -74.53243061, -74.80837247])}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# You get the arrays you ask for.\n",
    "\n",
    "events.arrays([\"E1\", \"px1\", \"py1\", \"pz1\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{b'E1': array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "        81.27013558, 81.56621735]),\n",
       " b'px1': array([-41.19528764,  35.11804977,  35.11804977, ...,  32.37749196,\n",
       "         32.37749196,  32.48539387]),\n",
       " b'py1': array([ 17.4332439 , -16.57036233, -16.57036233, ...,   1.19940578,\n",
       "          1.19940578,   1.2013503 ]),\n",
       " b'pz1': array([-68.96496181, -48.77524654, -48.77524654, ..., -74.53243061,\n",
       "        -74.53243061, -74.80837247])}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# With wildcards.\n",
    "\n",
    "events.arrays([\"E1\", \"p[xyz]1\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{b'E1': array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "        81.27013558, 81.56621735]),\n",
       " b'px1': array([-41.19528764,  35.11804977,  35.11804977, ...,  32.37749196,\n",
       "         32.37749196,  32.48539387]),\n",
       " b'py1': array([ 17.4332439 , -16.57036233, -16.57036233, ...,   1.19940578,\n",
       "          1.19940578,   1.2013503 ]),\n",
       " b'pz1': array([-68.96496181, -48.77524654, -48.77524654, ..., -74.53243061,\n",
       "        -74.53243061, -74.80837247]),\n",
       " b'pt1': array([44.7322, 38.8311, 38.8311, ..., 32.3997, 32.3997, 32.3997]),\n",
       " b'phi1': array([ 2.74126  , -0.440873 , -0.440873 , ...,  0.0370275,  0.0370275,\n",
       "         0.0370275])}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# These are the same wildcard patterns as matching files in UNIX.\n",
    "\n",
    "events.arrays([\"E1\", \"p*1\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{b'E1': array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "        81.27013558, 81.56621735]),\n",
       " b'px1': array([-41.19528764,  35.11804977,  35.11804977, ...,  32.37749196,\n",
       "         32.37749196,  32.48539387]),\n",
       " b'py1': array([ 17.4332439 , -16.57036233, -16.57036233, ...,   1.19940578,\n",
       "          1.19940578,   1.2013503 ]),\n",
       " b'pz1': array([-68.96496181, -48.77524654, -48.77524654, ..., -74.53243061,\n",
       "        -74.53243061, -74.80837247]),\n",
       " b'pt1': array([44.7322, 38.8311, 38.8311, ..., 32.3997, 32.3997, 32.3997]),\n",
       " b'phi1': array([ 2.74126  , -0.440873 , -0.440873 , ...,  0.0370275,  0.0370275,\n",
       "         0.0370275])}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Or with slashes, they become regular expressions.\n",
    "\n",
    "events.arrays([\"E1\", \"/p.*[0-1]/\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'E1': array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "        81.27013558, 81.56621735]),\n",
       " 'px1': array([-41.19528764,  35.11804977,  35.11804977, ...,  32.37749196,\n",
       "         32.37749196,  32.48539387]),\n",
       " 'py1': array([ 17.4332439 , -16.57036233, -16.57036233, ...,   1.19940578,\n",
       "          1.19940578,   1.2013503 ]),\n",
       " 'pz1': array([-68.96496181, -48.77524654, -48.77524654, ..., -74.53243061,\n",
       "        -74.53243061, -74.80837247])}"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The \"b\" before each string (for bytestring) can be removed in Python 3 by\n",
    "# specifying an encoding (strings in ROOT have no default encoding).\n",
    "\n",
    "events.arrays([\"E1\", \"px1\", \"py1\", \"pz1\"], namedecode=\"utf-8\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# And we can change the container from a dict to something else by passing a\n",
    "# class name; tuple is useful because it lets us assign each array.\n",
    "\n",
    "E, px, py, pz = events.arrays([\"E1\", \"px1\", \"py1\", \"pz1\"], outputtype=tuple)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>E1</th>\n",
       "      <th>px1</th>\n",
       "      <th>py1</th>\n",
       "      <th>pz1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>entry</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>82.201866</td>\n",
       "      <td>-41.195288</td>\n",
       "      <td>17.433244</td>\n",
       "      <td>-68.964962</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>62.344929</td>\n",
       "      <td>35.118050</td>\n",
       "      <td>-16.570362</td>\n",
       "      <td>-48.775247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>62.344929</td>\n",
       "      <td>35.118050</td>\n",
       "      <td>-16.570362</td>\n",
       "      <td>-48.775247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>60.621875</td>\n",
       "      <td>34.144437</td>\n",
       "      <td>-16.119525</td>\n",
       "      <td>-47.426984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>41.826389</td>\n",
       "      <td>22.783582</td>\n",
       "      <td>15.036444</td>\n",
       "      <td>-31.689894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>48.981407</td>\n",
       "      <td>-19.862307</td>\n",
       "      <td>-9.204225</td>\n",
       "      <td>43.817098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>48.981407</td>\n",
       "      <td>-19.862307</td>\n",
       "      <td>-9.204225</td>\n",
       "      <td>43.817098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>49.760726</td>\n",
       "      <td>-20.177373</td>\n",
       "      <td>-9.354149</td>\n",
       "      <td>44.513955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>132.780755</td>\n",
       "      <td>71.143711</td>\n",
       "      <td>29.542308</td>\n",
       "      <td>-108.150553</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>88.078330</td>\n",
       "      <td>51.050486</td>\n",
       "      <td>-51.849400</td>\n",
       "      <td>-49.631328</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>88.078330</td>\n",
       "      <td>51.050486</td>\n",
       "      <td>-51.849400</td>\n",
       "      <td>-49.631328</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>87.795659</td>\n",
       "      <td>50.870937</td>\n",
       "      <td>-51.669728</td>\n",
       "      <td>-49.502056</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>48.619144</td>\n",
       "      <td>44.406988</td>\n",
       "      <td>-3.132003</td>\n",
       "      <td>19.545333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>46.404351</td>\n",
       "      <td>-39.208844</td>\n",
       "      <td>10.779752</td>\n",
       "      <td>-22.356568</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>46.404351</td>\n",
       "      <td>-39.208844</td>\n",
       "      <td>10.779752</td>\n",
       "      <td>-22.356568</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>46.519913</td>\n",
       "      <td>-39.306485</td>\n",
       "      <td>10.807865</td>\n",
       "      <td>-22.411636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>57.368150</td>\n",
       "      <td>27.249788</td>\n",
       "      <td>3.083568</td>\n",
       "      <td>-50.388830</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>80.894157</td>\n",
       "      <td>-42.020547</td>\n",
       "      <td>-5.051576</td>\n",
       "      <td>-68.939166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>80.894157</td>\n",
       "      <td>-42.020547</td>\n",
       "      <td>-5.051576</td>\n",
       "      <td>-68.939166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>81.311450</td>\n",
       "      <td>-42.242553</td>\n",
       "      <td>-5.076551</td>\n",
       "      <td>-69.291673</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>79.487794</td>\n",
       "      <td>-27.243260</td>\n",
       "      <td>-23.405122</td>\n",
       "      <td>70.910530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>50.507597</td>\n",
       "      <td>33.674921</td>\n",
       "      <td>29.653424</td>\n",
       "      <td>23.187934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>50.507597</td>\n",
       "      <td>33.674921</td>\n",
       "      <td>29.653424</td>\n",
       "      <td>23.187934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>50.592111</td>\n",
       "      <td>33.728272</td>\n",
       "      <td>29.701482</td>\n",
       "      <td>23.233082</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>41.470909</td>\n",
       "      <td>-2.951523</td>\n",
       "      <td>-36.093120</td>\n",
       "      <td>-20.208917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>55.392978</td>\n",
       "      <td>3.996323</td>\n",
       "      <td>40.211907</td>\n",
       "      <td>37.886709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>55.392978</td>\n",
       "      <td>3.996323</td>\n",
       "      <td>40.211907</td>\n",
       "      <td>37.886709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>55.542907</td>\n",
       "      <td>4.007466</td>\n",
       "      <td>40.319935</td>\n",
       "      <td>37.990083</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>112.883981</td>\n",
       "      <td>-2.419678</td>\n",
       "      <td>-45.436617</td>\n",
       "      <td>-103.307507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>31.419951</td>\n",
       "      <td>-5.911541</td>\n",
       "      <td>30.099173</td>\n",
       "      <td>-6.804086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2274</th>\n",
       "      <td>23.712817</td>\n",
       "      <td>16.962188</td>\n",
       "      <td>-15.219455</td>\n",
       "      <td>6.552776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2275</th>\n",
       "      <td>23.684190</td>\n",
       "      <td>16.941295</td>\n",
       "      <td>-15.201413</td>\n",
       "      <td>6.545172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2276</th>\n",
       "      <td>66.967245</td>\n",
       "      <td>-56.585255</td>\n",
       "      <td>10.765311</td>\n",
       "      <td>-34.158714</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2277</th>\n",
       "      <td>33.717409</td>\n",
       "      <td>32.980637</td>\n",
       "      <td>-1.925555</td>\n",
       "      <td>-6.739611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2278</th>\n",
       "      <td>33.717409</td>\n",
       "      <td>32.980637</td>\n",
       "      <td>-1.925555</td>\n",
       "      <td>-6.739611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2279</th>\n",
       "      <td>33.853678</td>\n",
       "      <td>33.113825</td>\n",
       "      <td>-1.934790</td>\n",
       "      <td>-6.766947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2280</th>\n",
       "      <td>42.580187</td>\n",
       "      <td>-36.045090</td>\n",
       "      <td>-8.456551</td>\n",
       "      <td>-21.030915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2281</th>\n",
       "      <td>53.526322</td>\n",
       "      <td>36.668310</td>\n",
       "      <td>38.486189</td>\n",
       "      <td>6.269309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2282</th>\n",
       "      <td>53.526322</td>\n",
       "      <td>36.668310</td>\n",
       "      <td>38.486189</td>\n",
       "      <td>6.269309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2283</th>\n",
       "      <td>53.508055</td>\n",
       "      <td>36.655204</td>\n",
       "      <td>38.472433</td>\n",
       "      <td>6.274452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2284</th>\n",
       "      <td>46.432408</td>\n",
       "      <td>22.435607</td>\n",
       "      <td>-22.743227</td>\n",
       "      <td>-33.694904</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2285</th>\n",
       "      <td>52.581357</td>\n",
       "      <td>4.606652</td>\n",
       "      <td>43.856122</td>\n",
       "      <td>28.639261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2286</th>\n",
       "      <td>52.581357</td>\n",
       "      <td>4.606652</td>\n",
       "      <td>43.856122</td>\n",
       "      <td>28.639261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2287</th>\n",
       "      <td>52.533500</td>\n",
       "      <td>4.603120</td>\n",
       "      <td>43.818284</td>\n",
       "      <td>28.609906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2288</th>\n",
       "      <td>45.205618</td>\n",
       "      <td>-41.878716</td>\n",
       "      <td>2.697471</td>\n",
       "      <td>-16.805758</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2289</th>\n",
       "      <td>58.235411</td>\n",
       "      <td>47.751704</td>\n",
       "      <td>9.223864</td>\n",
       "      <td>-32.031970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2290</th>\n",
       "      <td>58.235411</td>\n",
       "      <td>47.751704</td>\n",
       "      <td>9.223864</td>\n",
       "      <td>-32.031970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2291</th>\n",
       "      <td>58.054571</td>\n",
       "      <td>47.607872</td>\n",
       "      <td>9.197612</td>\n",
       "      <td>-31.925170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2292</th>\n",
       "      <td>107.167787</td>\n",
       "      <td>-15.258505</td>\n",
       "      <td>-33.719314</td>\n",
       "      <td>100.573900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2293</th>\n",
       "      <td>35.364583</td>\n",
       "      <td>12.966984</td>\n",
       "      <td>30.974506</td>\n",
       "      <td>11.094139</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2294</th>\n",
       "      <td>35.364583</td>\n",
       "      <td>12.966984</td>\n",
       "      <td>30.974506</td>\n",
       "      <td>11.094139</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2295</th>\n",
       "      <td>35.460376</td>\n",
       "      <td>13.001270</td>\n",
       "      <td>31.059021</td>\n",
       "      <td>11.123455</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2296</th>\n",
       "      <td>27.742542</td>\n",
       "      <td>-16.891371</td>\n",
       "      <td>-15.335677</td>\n",
       "      <td>-15.784044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2297</th>\n",
       "      <td>32.676344</td>\n",
       "      <td>19.037577</td>\n",
       "      <td>14.820723</td>\n",
       "      <td>22.037447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2298</th>\n",
       "      <td>32.676344</td>\n",
       "      <td>19.037577</td>\n",
       "      <td>14.820723</td>\n",
       "      <td>22.037447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2299</th>\n",
       "      <td>32.701650</td>\n",
       "      <td>19.054651</td>\n",
       "      <td>14.833954</td>\n",
       "      <td>22.051323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2300</th>\n",
       "      <td>168.780121</td>\n",
       "      <td>-68.041915</td>\n",
       "      <td>-26.105847</td>\n",
       "      <td>-152.235018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2301</th>\n",
       "      <td>81.270136</td>\n",
       "      <td>32.377492</td>\n",
       "      <td>1.199406</td>\n",
       "      <td>-74.532431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2302</th>\n",
       "      <td>81.270136</td>\n",
       "      <td>32.377492</td>\n",
       "      <td>1.199406</td>\n",
       "      <td>-74.532431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2303</th>\n",
       "      <td>81.566217</td>\n",
       "      <td>32.485394</td>\n",
       "      <td>1.201350</td>\n",
       "      <td>-74.808372</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2304 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               E1        px1        py1         pz1\n",
       "entry                                              \n",
       "0       82.201866 -41.195288  17.433244  -68.964962\n",
       "1       62.344929  35.118050 -16.570362  -48.775247\n",
       "2       62.344929  35.118050 -16.570362  -48.775247\n",
       "3       60.621875  34.144437 -16.119525  -47.426984\n",
       "4       41.826389  22.783582  15.036444  -31.689894\n",
       "5       48.981407 -19.862307  -9.204225   43.817098\n",
       "6       48.981407 -19.862307  -9.204225   43.817098\n",
       "7       49.760726 -20.177373  -9.354149   44.513955\n",
       "8      132.780755  71.143711  29.542308 -108.150553\n",
       "9       88.078330  51.050486 -51.849400  -49.631328\n",
       "10      88.078330  51.050486 -51.849400  -49.631328\n",
       "11      87.795659  50.870937 -51.669728  -49.502056\n",
       "12      48.619144  44.406988  -3.132003   19.545333\n",
       "13      46.404351 -39.208844  10.779752  -22.356568\n",
       "14      46.404351 -39.208844  10.779752  -22.356568\n",
       "15      46.519913 -39.306485  10.807865  -22.411636\n",
       "16      57.368150  27.249788   3.083568  -50.388830\n",
       "17      80.894157 -42.020547  -5.051576  -68.939166\n",
       "18      80.894157 -42.020547  -5.051576  -68.939166\n",
       "19      81.311450 -42.242553  -5.076551  -69.291673\n",
       "20      79.487794 -27.243260 -23.405122   70.910530\n",
       "21      50.507597  33.674921  29.653424   23.187934\n",
       "22      50.507597  33.674921  29.653424   23.187934\n",
       "23      50.592111  33.728272  29.701482   23.233082\n",
       "24      41.470909  -2.951523 -36.093120  -20.208917\n",
       "25      55.392978   3.996323  40.211907   37.886709\n",
       "26      55.392978   3.996323  40.211907   37.886709\n",
       "27      55.542907   4.007466  40.319935   37.990083\n",
       "28     112.883981  -2.419678 -45.436617 -103.307507\n",
       "29      31.419951  -5.911541  30.099173   -6.804086\n",
       "...           ...        ...        ...         ...\n",
       "2274    23.712817  16.962188 -15.219455    6.552776\n",
       "2275    23.684190  16.941295 -15.201413    6.545172\n",
       "2276    66.967245 -56.585255  10.765311  -34.158714\n",
       "2277    33.717409  32.980637  -1.925555   -6.739611\n",
       "2278    33.717409  32.980637  -1.925555   -6.739611\n",
       "2279    33.853678  33.113825  -1.934790   -6.766947\n",
       "2280    42.580187 -36.045090  -8.456551  -21.030915\n",
       "2281    53.526322  36.668310  38.486189    6.269309\n",
       "2282    53.526322  36.668310  38.486189    6.269309\n",
       "2283    53.508055  36.655204  38.472433    6.274452\n",
       "2284    46.432408  22.435607 -22.743227  -33.694904\n",
       "2285    52.581357   4.606652  43.856122   28.639261\n",
       "2286    52.581357   4.606652  43.856122   28.639261\n",
       "2287    52.533500   4.603120  43.818284   28.609906\n",
       "2288    45.205618 -41.878716   2.697471  -16.805758\n",
       "2289    58.235411  47.751704   9.223864  -32.031970\n",
       "2290    58.235411  47.751704   9.223864  -32.031970\n",
       "2291    58.054571  47.607872   9.197612  -31.925170\n",
       "2292   107.167787 -15.258505 -33.719314  100.573900\n",
       "2293    35.364583  12.966984  30.974506   11.094139\n",
       "2294    35.364583  12.966984  30.974506   11.094139\n",
       "2295    35.460376  13.001270  31.059021   11.123455\n",
       "2296    27.742542 -16.891371 -15.335677  -15.784044\n",
       "2297    32.676344  19.037577  14.820723   22.037447\n",
       "2298    32.676344  19.037577  14.820723   22.037447\n",
       "2299    32.701650  19.054651  14.833954   22.051323\n",
       "2300   168.780121 -68.041915 -26.105847 -152.235018\n",
       "2301    81.270136  32.377492   1.199406  -74.532431\n",
       "2302    81.270136  32.377492   1.199406  -74.532431\n",
       "2303    81.566217  32.485394   1.201350  -74.808372\n",
       "\n",
       "[2304 rows x 4 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# outputtype=pandas.DataFrame is a synonym for TTree.pandas.df.\n",
    "\n",
    "import pandas\n",
    "events.arrays([\"E1\", \"px1\", \"py1\", \"pz1\"], outputtype=pandas.DataFrame)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asking for array...\n",
      "reading array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
      "       81.27013558, 81.56621735])\n",
      "asking for it with a cache...\n",
      "reading array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
      "       81.27013558, 81.56621735])\n",
      "asking for it again...\n"
     ]
    }
   ],
   "source": [
    "# Use an explicit cache to avoid reading many times from the same file.\n",
    "\n",
    "uproot.asdtype.debug_reading = True\n",
    "\n",
    "print(\"asking for array...\")\n",
    "events.array(\"E1\")\n",
    "\n",
    "mycache = {}    # or maybe uproot.ArrayCache(\"1 GB\")\n",
    "\n",
    "print(\"asking for it with a cache...\")\n",
    "events.array(\"E1\", cache=mycache)\n",
    "\n",
    "print(\"asking for it again...\")\n",
    "events.array(\"E1\", cache=mycache)\n",
    "\n",
    "uproot.asdtype.debug_reading = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "\n",
    "<p style=\"font-weight: bold; font-size: 1.875em; color: gray\">Three ways to get data:</p>\n",
    "\n",
    "<table width=\"100%\" style=\"font-size: 1.25em\"><tr style=\"background: white;\">\n",
    "    <td width=\"33%\" style=\"vertical-align: top\">\n",
    "        <p style=\"font-weight: bold; font-size: 1.5em; margin-bottom: 0.5em\">Direct</p>\n",
    "        <p>Read the file and return an array.</p>\n",
    "        <ul>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#id11\">TBranch.array</a></li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#array\">TTree.array</a></li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#arrays\">TTree.arrays</a></li>\n",
    "        </ul>\n",
    "    </td><td width=\"33%\" style=\"vertical-align: top\">\n",
    "        <p style=\"font-weight: bold; font-size: 1.5em; margin-bottom: 0.5em\">Lazy</p>\n",
    "        <p>Get an object that reads on demand.</p>\n",
    "        <ul>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#id13\">TBranch.lazyarray</a></li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#lazyarray\">TTree.lazyarray</a></li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#lazyarrays\">TTree.lazyarrays</a></li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/opening-files.html#uproot-lazyarray-and-lazyarrays\">uproot.lazyarray</a>*</li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/opening-files.html#uproot-lazyarray-and-lazyarrays\">uproot.lazyarrays</a>*</li>\n",
    "        </ul>\n",
    "    </td><td width=\"33%\" style=\"vertical-align: top\">\n",
    "        <p style=\"font-weight: bold; font-size: 1.5em; margin-bottom: 0.5em\">Iterative</p>\n",
    "        <p>Read arrays in batches of entries.</p>\n",
    "        <ul>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/ttree-handling.html#iterate\">TTree.iterate</a></li>\n",
    "            <li style=\"margin-bottom: 0.3em\"><a href=\"https://uproot.readthedocs.io/en/latest/opening-files.html#uproot-iterate\">uproot.iterate</a>*</li>\n",
    "        </ul>\n",
    "    </td>\n",
    "</tr></table>\n",
    "\n",
    "<p>*Lazy arrays or iteration over sets of files.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([82.20186639, 62.34492895, 62.34492895, ..., 81.27013558,\n",
       "       81.27013558, 81.56621735])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Direct:\n",
    "\n",
    "events.array(\"E1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "getting lazy array...\n",
      "len(lazyarray.chunks) = 5\n",
      "before looking at the array...\n",
      "reading array([ 82.20186639,  62.34492895,  62.34492895,  60.62187459,\n",
      "        41.82638891,  48.98140695,  48.98140695,  49.76072566,\n",
      "       132.78075492,  88.07833019,  88.07833019,  87.79565929,\n",
      "        48.61914427,  46.40435116,  46.40435116,  46.51991282,\n",
      "        57.36815016,  80.8941568 ,  80.8941568 ,  81.31144951,\n",
      "        79.48779395,  50.50759651,  50.50759651,  50.59211055,\n",
      "        41.47090944,  55.39297755,  55.39297755,  55.54290677,\n",
      "       112.8839809 ,  31.41995067,  31.41995067,  31.42339926,\n",
      "        73.34548002,  33.0810183 ,  33.0810183 ,  32.45151863,\n",
      "        36.76969687,  78.54927722,  78.54927722,  76.95658284,\n",
      "        71.38162765,  37.11945042,  37.11945042,  37.10875051,\n",
      "        41.34095485,  41.21802884,  41.21802884,  14.25833323,\n",
      "        14.25833323,  14.25833323,  14.25833323,  41.2330742 ,\n",
      "       105.725502  ,  68.35271716,  68.35271716,  68.45669076,\n",
      "       196.16113519,  29.90997935,  29.90997935,   8.67840117,\n",
      "         8.67840117,   8.67840117,   8.67840117,   6.03288979,\n",
      "         6.03288979,   6.03288979,   6.03288979,   6.03288979,\n",
      "         6.18369895,   6.18369895,   6.18369895,   6.18369895,\n",
      "         6.18369895,   6.18369895,   6.91442071,   6.91442071,\n",
      "         6.91442071,   6.91442071,   6.91442071,   6.91442071,\n",
      "         6.91442071,  29.87514879,  71.06802615,  51.68004106,\n",
      "        51.68004106,  51.64925183,  72.89894806,  37.59135117,\n",
      "        37.59135117,   3.68022577,   3.68022577,   3.68022577,\n",
      "         3.68022577,  37.62769734,  27.88268925,  41.50209382,\n",
      "        41.50209382,  41.54058015,  85.5567314 ,  29.89152216,\n",
      "        29.89152216,  29.82530216,  76.69810457,  86.97126468,\n",
      "        86.97126468,  86.43256899, 127.50778607,  39.79195384,\n",
      "        39.79195384,  39.74407998, 115.53811359,  47.29833494,\n",
      "        47.29833494,  47.44418685,  46.58616153,  45.20271281,\n",
      "        45.20271281,  45.48398147,  52.70709049,  62.26050977,\n",
      "        62.26050977,  62.27436398,  33.03261707,  83.95840602,\n",
      "        83.95840602,  83.76388426,  48.29133168,  41.31743732,\n",
      "        41.31743732,  41.42258624, 105.99649959,  82.74679137,\n",
      "        82.74679137,  11.8752667 ,  11.8752667 ,  11.8752667 ,\n",
      "        11.8752667 ,  83.09219982,  93.40588737,  51.97474787,\n",
      "        51.97474787,  51.9919392 ,  62.27836012,  38.43790063,\n",
      "        38.43790063,  38.39228365, 161.5912558 ,  39.65170143,\n",
      "        39.65170143,  39.76693154,  66.88012568,  42.39460789,\n",
      "        42.39460789,  42.48039832,  46.92335006,  46.92455779,\n",
      "        46.92455779,  46.60761536,  50.06497373,  55.9734727 ,\n",
      "        55.9734727 ,  55.84905046, 102.20124345,  39.61899834,\n",
      "        39.61899834,  39.65573994,  67.47956761,  57.80467657,\n",
      "        57.80467657,  57.76942704,  51.04741038,  38.47067848,\n",
      "        38.47067848,  38.85771495,  64.97495956,  35.76287676,\n",
      "        35.76287676,  35.76622753,  51.02758661,  40.16542196,\n",
      "        40.16542196,  40.21951192,  92.98845663,  30.88757883,\n",
      "        30.88757883,  30.878293  ,  62.54839167,  37.26885489,\n",
      "        37.26885489,  37.34925284,  91.94361717,  39.52334744,\n",
      "        39.52334744,  39.37759624,  48.2271562 ,  59.57496608,\n",
      "        59.57496608,  59.75775839,  77.57064047,  92.84879252,\n",
      "        92.84879252,  95.99500573,  42.71818808,  52.4885467 ,\n",
      "        52.4885467 ,  52.51843993,  88.64234354,  31.64410794,\n",
      "        31.64410794,  31.64959256,  87.4056862 ,  49.38242655,\n",
      "        49.38242655,  49.27349107,  53.50000015,  67.64285194,\n",
      "        67.64285194,  67.76791299, 100.28242941,  23.36178732,\n",
      "        23.36178732,  23.33391632,  50.40529434, 254.76182152,\n",
      "       254.76182152, 258.89666354,  72.76396876,  41.46279188,\n",
      "        41.46279188,  41.6119257 ,  41.93974732,  48.29596747,\n",
      "        48.29596747,  48.34900079,  78.74030586,  66.05473351,\n",
      "        66.05473351,  65.88471968,  87.34089322,  33.2601818 ,\n",
      "        33.2601818 ,  33.19079216,  63.87067872,  75.36016204,\n",
      "        75.36016204,  76.60169876, 107.15594485,  23.8806628 ,\n",
      "        23.8806628 ,  23.90109599,  40.2949981 ,  56.86658408,\n",
      "        56.86658408,  56.81195823, 122.17847187,  34.46781762,\n",
      "        34.46781762,  34.54308174,  71.33230751,  40.34913239,\n",
      "        40.34913239,   3.7887485 ,   3.7887485 ,   3.7887485 ,\n",
      "         3.7887485 ,  40.31016759, 131.45150914,  28.26313485,\n",
      "        28.26313485,  28.16323056,  66.23584194,  96.52045244,\n",
      "        96.52045244,  96.42160657,  82.4771798 ,  34.72916771,\n",
      "        34.72916771,  34.86326179, 136.91245633, 176.10798619,\n",
      "       176.10798619, 179.18672432, 107.02007991,  46.58701508,\n",
      "        46.58701508,  46.79108367, 116.13180937,  74.16383242,\n",
      "        74.16383242,  74.04477484,  81.63601162,  89.92101662,\n",
      "        89.92101662,  89.81354226,  40.39614676,  58.81178525,\n",
      "        58.81178525,  58.83806348,  69.51646816,  31.21703518,\n",
      "        31.21703518,  31.18352384, 104.41725376, 184.9226554 ,\n",
      "       184.9226554 , 185.9655727 , 126.11541216,  42.446788  ,\n",
      "        42.446788  ,  42.47991382,  98.58850005,  52.37490921,\n",
      "        52.37490921,  52.18606965,  94.83143467,  36.13129471,\n",
      "        36.13129471,  36.15666544,  48.28351078,  42.95434659,\n",
      "        42.95434659,  42.95856584,  52.74409028,  43.33089038,\n",
      "        43.33089038,  43.34744671,  61.90488395,  44.52607703,\n",
      "        44.52607703,  44.53126836,  46.27753806,  46.95140984,\n",
      "        46.95140984,  46.94968131,  60.2129981 ,  37.8612658 ,\n",
      "        37.8612658 ,  37.8285843 ,  67.7653656 ,  37.10912077,\n",
      "        37.10912077,  37.04726169, 118.89463886,  48.99630469,\n",
      "        48.99630469,  49.01124244, 100.11067561,  40.22610505,\n",
      "        40.22610505,   2.80131924,   2.80131924,   2.80131924,\n",
      "         2.80131924,  40.40268363, 126.87239391,  60.69529477,\n",
      "        60.69529477,  60.41347555,  60.45034273,  47.80394443,\n",
      "        47.80394443,  47.85848542,  56.76804815, 138.26451913,\n",
      "       138.26451913,   4.88393134,   4.88393134,   4.88393134,\n",
      "         4.88393134, 138.08959514,  40.25440134,  61.67817632,\n",
      "        61.67817632,  61.72165702, 199.44834987,  41.601314  ,\n",
      "        41.601314  ,  41.59079094,  86.53026194,  76.35054423,\n",
      "        76.35054423,  76.08791093,  67.61662778,  59.72331911,\n",
      "        59.72331911,  59.80469062,  50.57086751, 110.42820932,\n",
      "       110.42820932, 109.89557663, 104.2172648 ,  86.06284772,\n",
      "        86.06284772,  87.03293319, 139.23854951,  54.9396813 ,\n",
      "        54.9396813 ,   3.31356021,   3.31356021,   3.31356021,\n",
      "         3.31356021,  54.65006448,  46.78336013,  43.53657461,\n",
      "        43.53657461,  43.58139103, 110.73400727,  66.06582381,\n",
      "        66.06582381,  64.56707909, 127.01099668,  55.5268161 ,\n",
      "        55.5268161 ,  55.41932963,  82.02574047,  92.01408361,\n",
      "        92.01408361,  90.42667708,  45.69709417,  43.26503587,\n",
      "        43.26503587,  43.2322141 , 115.23484945, 108.4062278 ,\n",
      "       108.4062278 , 106.84622683,  68.25083863,  59.50132924,\n",
      "        59.50132924,  59.45330573, 159.94779602,  94.3388382 ,\n",
      "        94.3388382 ,  93.2629199 , 108.198462  ,  58.93886755,\n",
      "        58.93886755,   3.52188742,   3.52188742,   3.52188742,\n",
      "         3.52188742,  58.5886036 ,  62.66659673,  50.82144749,\n",
      "        50.82144749,  51.09930061,  89.26461232,  92.94113586,\n",
      "        92.94113586,  92.66318339, 121.49702189,  41.3100944 ,\n",
      "        41.3100944 ,  41.22465063,  65.64283286,  33.73566654,\n",
      "        33.73566654,  33.74026326,  39.85707511,  42.00168437,\n",
      "        42.00168437,  42.05068821,  79.10783081,  42.85746059,\n",
      "        42.85746059,  42.97136038,  60.16055065,  39.80387256,\n",
      "        39.80387256,  39.80157369,  42.42033794,  39.06837782,\n",
      "        39.06837782,  39.08969083, 141.78830565,  92.4850421 ,\n",
      "        92.4850421 ,  92.50799062,  69.71747155,  33.8122598 ,\n",
      "        33.8122598 ,  33.82700499, 150.17946048,  52.55095505,\n",
      "        52.55095505,  52.48577273, 164.44335303,  87.92602083,\n",
      "        87.92602083,  87.96504678,  61.67544744,  53.37824702,\n",
      "        53.37824702,  53.17784156, 181.51530925,  90.93224422,\n",
      "        90.93224422,  91.33359669,  50.5125538 ,  45.7959062 ])\n",
      "reading array([ 46.0752809 ,  46.0752809 ,  45.93225789,  51.01950403,\n",
      "        84.91115834,  84.91115834,  85.40183438,  58.61087121,\n",
      "        35.85560212,  35.85560212,  35.80270221,  65.69128374,\n",
      "        34.92194525,  34.92194525,  35.1131883 ,  63.33409091,\n",
      "        28.33785313,  28.33785313,  28.29919652, 129.93892751,\n",
      "        76.2413413 ,  76.2413413 ,  19.43559742,  19.43559742,\n",
      "        19.43559742,  19.43559742,  77.06603846,  88.87206301,\n",
      "        76.9896967 ,  76.9896967 ,  77.13454466,  80.46643455,\n",
      "        50.22352215,  50.22352215,  50.32671059, 156.86919654,\n",
      "        25.07053007,  25.07053007,  25.0157658 ,  41.21248819,\n",
      "        59.74725995,  59.74725995,  60.03458757, 114.59109646,\n",
      "        46.09001797,  46.09001797,  45.3606167 ,   6.63621225,\n",
      "         6.63621225,  47.14487282,  47.14487282,  47.14487282,\n",
      "        46.57451906,  46.57451906,  46.57451906,  46.57451906,\n",
      "        47.21938272,  46.53882963,  46.53882963,  42.44033505,\n",
      "        50.28127027,  50.28127027,  50.34189109,  49.22061868,\n",
      "        50.13765098,  50.13765098,  50.41556485,  58.55740104,\n",
      "        66.25855582,  66.25855582,  66.16414935,  42.0899355 ,\n",
      "        85.2964904 ,  85.2964904 ,  85.76539914,  43.67188221,\n",
      "        47.86001375,  47.86001375,  48.00145743,  51.89875501,\n",
      "        46.86844432,  46.86844432,  46.79679221, 196.5144228 ,\n",
      "        42.0469666 ,  42.0469666 ,  41.91187501, 174.62404314,\n",
      "        81.09396457,  81.09396457,  81.69445412, 103.13230108,\n",
      "       135.07364701, 135.07364701, 134.47187143,  60.14923662,\n",
      "        37.89763776,  37.89763776,  37.87535674, 106.8741986 ,\n",
      "        26.20362085,  26.20362085,  26.19512521,  44.39885681,\n",
      "        25.448428  ,  25.448428  ,  25.46106481,  66.66163274,\n",
      "       109.35030321, 109.35030321, 110.34275706,  99.71032777,\n",
      "        24.01901969,  24.01901969,  24.08372758,  36.8158374 ,\n",
      "        73.91941444,  73.91941444,  73.67659173,  56.80244434,\n",
      "        52.11974215,  52.11974215,  52.11422256,  76.57235623,\n",
      "        35.56797446,  35.56797446,  35.52918684,  20.29029808,\n",
      "        20.29029808,  66.41965668,  66.41965668,  66.41965668,\n",
      "        43.62290835,  43.62290835,  43.62290835,  43.62290835,\n",
      "        66.27032084,  43.65965777,  43.65965777, 117.96089673,\n",
      "       116.02402051, 116.02402051, 115.86429844, 181.14963955,\n",
      "        46.32347932,  46.32347932,  46.34264138,  39.84007354,\n",
      "        49.90479604,  49.90479604,  49.90611076,  68.83940379,\n",
      "        32.99969725,  32.99969725,  33.04348861,  45.97343103,\n",
      "        64.15355709,  64.15355709,  64.59826631, 173.71874741,\n",
      "        96.815185  ,  96.815185  ,  96.7923539 , 110.36657744,\n",
      "        37.06940706,  37.06940706,  37.17311116, 153.61763637,\n",
      "        69.92084398,  69.92084398,   5.37746271,   5.37746271,\n",
      "         5.37746271,   5.37746271,  69.94007349, 134.30583511,\n",
      "        62.46127367,  62.46127367,  62.53647059,  48.2570493 ,\n",
      "        43.66442238,  43.66442238,  43.62529629, 116.8518384 ,\n",
      "        66.4364895 ,  66.4364895 ,   8.5442139 ,   8.5442139 ,\n",
      "         8.5442139 ,   8.5442139 ,  66.24139308,  60.95001814,\n",
      "        31.95453952,  31.95453952,  31.98177713, 126.41108732,\n",
      "        76.72380447,  76.72380447,   6.49166823,   6.49166823,\n",
      "         6.49166823,   6.49166823,   6.83012466,   6.83012466,\n",
      "         6.83012466,   6.83012466,   6.83012466,  75.9084579 ,\n",
      "       132.38057047,  60.03479514,  60.03479514,  60.25783347,\n",
      "        75.08545414,  33.16996819,  33.16996819,  33.26996319,\n",
      "        54.99507245,  44.04162012,  44.04162012,  44.14031972,\n",
      "       108.00555628,  63.034422  ,  63.034422  ,  63.08933334,\n",
      "        54.3102105 ,  38.59888976,  38.59888976,  38.56231294,\n",
      "       109.16387103, 154.1797389 , 154.1797389 ,   3.61754968,\n",
      "         3.61754968,   3.61754968,   3.61754968, 154.48788823,\n",
      "        65.37227648,  45.59964124,  45.59964124,  45.66147668,\n",
      "        34.17148   ,  62.50570717,  62.50570717,  62.53544859,\n",
      "       131.59670502,  42.7932255 ,  42.7932255 ,  42.86945165,\n",
      "       104.8499588 , 144.20170261, 144.20170261, 144.13072657,\n",
      "        41.49020922,  49.39629022,  49.39629022,  49.37720121,\n",
      "        34.97314075,  32.78697141,  32.78697141,  32.78248453,\n",
      "        56.30050249,  45.91174393,  45.91174393,  45.85791096,\n",
      "        88.43999667,  51.04219402,  51.04219402,  51.14641243,\n",
      "       129.30699652,  69.25134207,  69.25134207,  68.0527026 ,\n",
      "        72.21726793,  23.71281669,  23.71281669,  23.6841903 ,\n",
      "        66.9672454 ,  33.71740911,  33.71740911,  33.85367838,\n",
      "        42.58018682,  53.52632157,  53.52632157,  53.50805529,\n",
      "        46.43240844,  52.58135709,  52.58135709,  52.53349992,\n",
      "        45.20561751,  58.23541104,  58.23541104,  58.0545706 ,\n",
      "       107.16778698,  35.36458334,  35.36458334,  35.46037568,\n",
      "        27.74254176,  32.67634359,  32.67634359,  32.70165023,\n",
      "       168.78012134,  81.27013558,  81.27013558,  81.56621735])\n",
      "lazyarray = [82.2018663875 62.3449289481 62.3449289481 ... 81.2701355756 81.2701355756 81.5662173543]\n",
      "chunks read = [True, False, False, False, True]\n",
      "before computing a value...\n",
      "reading array([ 45.7959062 ,  45.7108209 ,  98.03548137,  53.53706097,\n",
      "        53.53706097,   4.28311024,   4.28311024,   4.28311024,\n",
      "         4.28311024,   3.34694302,   3.34694302,   3.34694302,\n",
      "         3.34694302,   3.34694302,  53.75729904,  61.65428429,\n",
      "        30.50362009,  30.50362009,  30.48102741,  66.45346224,\n",
      "        52.87763186,  52.87763186,  52.7489543 ,  52.81819208,\n",
      "        40.46748228,  40.46748228,  40.57985174,  49.87412519,\n",
      "        42.38993305,  42.38993305,  42.42833527,  85.1168695 ,\n",
      "        29.74828806,  29.74828806,  29.78374733,   6.26765716,\n",
      "         6.26765716,  55.36001619,  55.36001619,  55.36001619,\n",
      "        39.7280774 ,  39.7280774 ,  39.7280774 ,  39.7280774 ,\n",
      "        54.94426763,  39.67636193,  39.67636193,  99.34784156,\n",
      "        45.42959847,  45.42959847,  45.44501852,  54.68992715,\n",
      "        54.68992715,  12.75976687,  12.75976687,  12.75976687,\n",
      "        57.39367803,  57.39367803,  57.39367803,  57.39367803,\n",
      "         7.00286458,   7.00286458,   7.00286458,   7.00286458,\n",
      "         7.00286458,   7.00286458,  12.68173287,  57.44959026,\n",
      "        57.44959026, 101.53475973,  42.18366415,  42.18366415,\n",
      "        42.09498675, 104.22280101,  35.11128285,  35.11128285,\n",
      "        35.1792105 ,  41.48633092,  53.31312003,  53.31312003,\n",
      "        53.35794746,  84.23382316,  35.71756911,  35.71756911,\n",
      "        35.7474641 , 115.19581372,  67.50189087,  67.50189087,\n",
      "         4.19541226,   4.19541226,   4.19541226,   4.19541226,\n",
      "         4.62997718,   4.62997718,   4.62997718,   4.62997718,\n",
      "         4.62997718,  67.62712635, 185.83802383,  86.48156096,\n",
      "        86.48156096,  86.3818981 ,  56.31038767,  39.97209441,\n",
      "        39.97209441,  39.8840657 , 102.38123414,  43.94217292,\n",
      "        43.94217292,  43.99002748, 100.04272633,  70.24205214,\n",
      "        70.24205214,  69.11271174, 130.71140503, 132.22381792,\n",
      "       132.22381792, 130.01674985, 106.01039066,  26.64366929,\n",
      "        26.64366929,  26.61515679,  63.66102206,  88.0854839 ,\n",
      "        88.0854839 ,  87.9880279 ,  85.49519198,  41.30918442,\n",
      "        41.30918442,  41.18976548, 104.31691475,  35.54820434,\n",
      "        35.54820434,  35.66256274,  70.71747547,  39.00228623,\n",
      "        39.00228623,  38.96979595,  51.07988131,  45.05343019,\n",
      "        45.05343019,  45.10348183,  81.20814467,  47.37554772,\n",
      "        47.37554772,  47.42293478,  98.05420899,  26.10426866,\n",
      "        26.10426866,  26.09762088,  32.47578224,  72.22923901,\n",
      "        72.22923901,  73.36826693, 151.47113505,  49.90717523,\n",
      "        49.90717523,  49.89694439, 161.31761553, 119.27281392,\n",
      "       119.27281392, 119.70045634, 140.05499557, 132.87811786,\n",
      "       132.87811786, 132.86267445,  98.60536577,  80.01514369,\n",
      "        80.01514369,  79.89862041, 122.08858858,  49.79971391,\n",
      "        49.79971391,  49.99184253,  63.9882154 ,  46.19279341,\n",
      "        46.19279341,  46.16046742,  77.87514338,  44.30757733,\n",
      "        44.30757733,   6.53977097,   6.53977097,   6.53977097,\n",
      "         6.53977097,  44.3190834 ,  48.63772687,  54.59493952,\n",
      "        54.59493952,  54.40286569, 109.31942576,  65.18370533,\n",
      "        65.18370533,  65.24505329,  64.72993111,  34.15084224,\n",
      "        34.15084224,  34.18045716,  72.7108244 ,  38.78628712,\n",
      "        38.78628712,  38.50068439,  39.5214725 ,  55.58932065,\n",
      "        55.58932065,  55.54991079, 106.33464446,  36.26492573,\n",
      "        36.26492573,  36.33648773,  54.88383867,  41.8747026 ,\n",
      "        41.8747026 ,  41.77922379,  52.44967779,  30.44120514,\n",
      "        30.44120514,  30.42208232,  79.20400522,  32.24336313,\n",
      "        32.24336313,  32.24839943,  41.78042315,  34.85421797,\n",
      "        34.85421797,  34.7893323 , 104.77473824,  43.87055856,\n",
      "        43.87055856,  43.74426568,  89.13739949,  29.57737014,\n",
      "        29.57737014,  29.5497005 ,  91.21108515,  23.18379625,\n",
      "        23.18379625,   9.77244189,   9.77244189,   9.77244189,\n",
      "         9.77244189,   6.31468205,   6.31468205,   6.31468205,\n",
      "         6.31468205,   6.31468205,  23.16692195, 168.9530304 ,\n",
      "        45.90640042,  45.90640042,  45.3792689 , 154.39628754,\n",
      "        47.32312717,  47.32312717,  47.29104124, 106.46022706,\n",
      "        25.33144007,  25.33144007,  25.3134871 ,  83.29414824,\n",
      "        47.83020624,  47.83020624,  47.90649003,  52.12348834,\n",
      "        54.68925628,  54.68925628,  54.76102821,  97.59331015,\n",
      "        57.78942366,  57.78942366,  57.56590666, 162.76580385,\n",
      "       129.23633072, 129.23633072, 129.83296938, 115.07087628,\n",
      "        25.61296822,  25.61296822,  25.61417704,  88.4707355 ,\n",
      "        88.4707355 , 154.79119067, 154.79119067, 154.79119067,\n",
      "       103.26737836, 103.26737836, 103.26737836, 103.26737836,\n",
      "       155.47754162,  73.67104443,  73.67104443,  69.14082468,\n",
      "        38.59115679,  38.59115679,  38.58866085,  53.72302145,\n",
      "        49.13936795,  49.13936795,  49.16618927,  62.11370828,\n",
      "        59.62325187,  59.62325187,  59.75978119,  64.85815719,\n",
      "        33.00204113,  33.00204113,  32.98092661, 148.05788423,\n",
      "        49.22212446,  49.22212446,  48.98901268, 146.42375697,\n",
      "        85.65230769,  85.65230769,  84.9637478 , 108.84529674,\n",
      "        24.25055762,  24.25055762,  24.29936628, 162.56684145,\n",
      "       175.68453974, 175.68453974, 174.85906213,  93.93125898,\n",
      "        44.5743831 ,  44.5743831 ,  44.49115314,  98.52795552,\n",
      "       119.27605689, 119.27605689, 127.37162122,  55.86022748,\n",
      "        45.98907071,  45.98907071,  46.04934389,  87.24116205,\n",
      "       113.94820563, 113.94820563,   5.24352718,   5.24352718,\n",
      "         5.24352718,   5.24352718, 113.98667479, 107.69987257,\n",
      "        34.24606857,  34.24606857,  34.2446843 , 138.15901091,\n",
      "        69.87744168,  69.87744168,  70.05707369,  61.99775521,\n",
      "        76.79482364,  76.79482364,  76.53515249,  94.63039592,\n",
      "        54.94052163,  54.94052163,  54.8002539 ,  49.33780419,\n",
      "        38.92494135,  38.92494135,  39.0913323 ,  53.34153036,\n",
      "        44.01008919,  44.01008919,  44.08910084,  67.3954523 ,\n",
      "        78.39492994,  78.39492994,  78.33691191,  28.33533554,\n",
      "        60.46259485,  60.46259485,  60.38914582, 156.78645186,\n",
      "        39.35421489,  39.35421489,  39.32233898, 105.81882781,\n",
      "        27.38177059,  27.38177059,   3.8709433 ,   3.8709433 ,\n",
      "         3.8709433 ,   3.8709433 ,  27.36033778,  55.98393702,\n",
      "        40.89664424,  40.89664424,  40.76408159,  42.23246082,\n",
      "        77.90711073,  77.90711073,  77.84074297,  66.34244997,\n",
      "        39.64593693,  39.64593693,  39.72442892,  77.80849186,\n",
      "        64.94160775,  64.94160775,  65.07075998,  53.36433748,\n",
      "        34.39941847,  34.39941847,  34.40378151, 113.63242151,\n",
      "        29.22937035,  29.22937035,  29.25656902,  42.08471589,\n",
      "        48.52077628,  48.52077628,  48.7463367 ,  52.26365025,\n",
      "        43.24592044,  43.24592044,   3.64463352,   3.64463352,\n",
      "         3.64463352,   3.64463352,  43.33534913,  93.33287974,\n",
      "        61.9911916 ,  61.9911916 ,  61.77179705, 113.12035244,\n",
      "       139.20614758, 139.20614758, 139.34886893,  75.25672558,\n",
      "        88.34705061,  88.34705061,  87.4025814 ,  77.4127299 ,\n",
      "        33.48086164,  33.48086164,  33.50100921,  96.90269271,\n",
      "        63.0483831 ,  63.0483831 ,  62.50613703, 136.15024344,\n",
      "        58.806859  ,  58.806859  ,  60.09654507,  86.92501951,\n",
      "        27.32269359,  27.32269359,  27.30074396,  60.97549967,\n",
      "        56.82716595,  56.82716595,  56.78276581,  75.41102742,\n",
      "        29.29019096,  29.29019096,  29.28753266, 138.64731902,\n",
      "       117.3083541 , 117.3083541 ,   6.49244094,   6.49244094,\n",
      "         6.49244094,   6.49244094,   5.539486  ,   5.539486  ,\n",
      "         5.539486  ,   5.539486  , 116.58433927, 186.07993924,\n",
      "        34.00666394,  34.00666394,   8.07988506,   8.07988506,\n",
      "         8.07988506,   8.07988506,  34.08564671,  50.38776963,\n",
      "        43.233991  ,  43.233991  ,  43.3016364 ,  75.23979433,\n",
      "        85.64195821,  85.64195821,  10.09580037,  10.09580037,\n",
      "        10.09580037,  10.09580037,  85.71685245,  54.66240321,\n",
      "        43.41598115,  43.41598115,  43.23279531,  47.94760868,\n",
      "        50.51232263,  50.51232263,  50.58091877,  54.08179249])\n",
      "reading array([ 31.4488924 ,  31.4488924 ,  31.39073377,  64.85457285,\n",
      "        46.92904281,  46.92904281,  46.8175341 ,  84.6534656 ,\n",
      "        45.81122985,  45.81122985,  45.72320407,   8.52845353,\n",
      "         8.52845353, 140.6693251 , 140.6693251 , 140.6693251 ,\n",
      "        38.57074364,  38.57074364,  38.57074364,  38.57074364,\n",
      "       129.65292757,  38.57931862,  38.57931862,  94.07558437,\n",
      "        42.48658583,  42.48658583,  42.4151989 ,  41.79667879,\n",
      "        46.97568581,  46.97568581,  46.91438364,  47.88026421,\n",
      "        65.80416363,  65.80416363,  65.73851191,  45.9266897 ,\n",
      "        45.1790785 ,  45.1790785 ,  45.26093575,  47.00117345,\n",
      "        52.12766819,  52.12766819,  52.18124402,  95.70457827,\n",
      "        75.54771532,  75.54771532,  75.18366823,  55.00114597,\n",
      "        37.90007709,  37.90007709,  37.9755793 ,  50.58215299,\n",
      "        53.30375152,  53.30375152,  53.26814353,  75.84185475,\n",
      "        28.59411263,  28.59411263,  28.68261954, 111.88531423,\n",
      "        57.36268368,  57.36268368,   6.58675997,   6.58675997,\n",
      "         6.58675997,   6.58675997,  57.75593688, 131.14501416,\n",
      "        75.56420348,  75.56420348,  74.65934666, 148.59365577,\n",
      "        63.91324124,  63.91324124,  63.32768472, 123.20052575,\n",
      "       104.62365577, 104.62365577, 105.40810206,  66.77391623,\n",
      "        43.22690942,  43.22690942,  43.34562432,  45.04418514,\n",
      "        46.03056228,  46.03056228,  46.25180594,  80.23695946,\n",
      "       105.24013119, 105.24013119, 105.36834033,  76.86389423,\n",
      "        36.7415667 ,  36.7415667 ,  36.67212226,  55.57071625,\n",
      "        37.94350241,  37.94350241,  37.78544236, 113.4729771 ,\n",
      "        63.14417237,  63.14417237,  63.61101002,  46.29740831,\n",
      "        58.65535456,  58.65535456,  58.61838778,  72.35168843,\n",
      "        39.41519906,  39.41519906,  39.32425573,  67.55979748,\n",
      "        80.3605257 ,  80.3605257 ,  79.01197416,  50.20175762,\n",
      "        40.70177574,  40.70177574,  40.71954516, 193.49259154,\n",
      "       192.08741173, 192.08741173,   3.49314832,   3.49314832,\n",
      "         3.49314832,   3.49314832, 199.78585219, 126.14711465,\n",
      "        35.70256876,  35.70256876,   6.12356886,   6.12356886,\n",
      "         6.12356886,   6.12356886,  35.68050675,  89.6149403 ,\n",
      "        54.94942972,  54.94942972,  54.9944288 , 139.45738731,\n",
      "        44.73282214,  44.73282214,  44.72127253,  65.9614742 ,\n",
      "        81.14295401,  81.14295401,  81.37989984, 135.29792495,\n",
      "       117.44689675, 117.44689675, 117.76391219, 138.62043705,\n",
      "        57.0550187 ,  57.0550187 ,  57.21952763, 106.00198323,\n",
      "        40.15668284,  40.15668284,  40.25908618,  65.86126085,\n",
      "        34.01748813,  34.01748813,  34.06649924,  58.95234108,\n",
      "        47.45024139,  47.45024139,  47.41402621,  61.09417096,\n",
      "        36.83197785,  36.83197785,  36.74283534,  67.67943419,\n",
      "        41.46868604,  41.46868604,  41.38648411,  68.80726237,\n",
      "        45.98922476,  45.98922476,  45.81039032,  50.06660335,\n",
      "        49.41124973,  49.41124973,  49.51266435, 134.83978531,\n",
      "       134.83978531,   9.71719936,   9.71719936,   9.71719936,\n",
      "       178.30141267, 178.30141267, 178.30141267, 178.30141267,\n",
      "         9.67078461, 178.16562619, 178.16562619,  83.35622549,\n",
      "        33.9541694 ,  33.9541694 ,  33.98370116,  47.06118081,\n",
      "        59.89729485,  59.89729485,  59.74856876,  54.36884537,\n",
      "        36.33107491,  36.33107491,  36.27463258, 127.20182732,\n",
      "        54.14574607,  54.14574607,  54.52750913,  45.23627798,\n",
      "        47.02058933,  47.02058933,  47.03036801,  73.10174692,\n",
      "        53.15281967,  53.15281967,  53.18444035,  81.49764647,\n",
      "        58.48350435,  58.48350435,  58.32154461,  80.72365482,\n",
      "        39.43517589,  39.43517589,   9.2963854 ,   9.2963854 ,\n",
      "         9.2963854 ,   9.2963854 ,  39.34363722,  56.66361595,\n",
      "        35.92201525,  35.92201525,  35.47212723,  92.63370683,\n",
      "        31.33836172,  31.33836172,  31.3649048 ,  44.10335413,\n",
      "        47.27571161,  47.27571161,  47.37883659,  91.36722307,\n",
      "        38.00938872,  38.00938872,   4.18237505,   4.18237505,\n",
      "         4.18237505,   4.18237505,  38.01516864,  63.24757346,\n",
      "        39.23690233,  39.23690233,  39.24763076, 124.0373808 ,\n",
      "       160.57288382, 160.57288382, 160.12708292,  66.29024719,\n",
      "        42.00766598,  42.00766598,  41.98317147,  57.4994334 ,\n",
      "        35.38813432,  35.38813432,  35.34335344, 162.18675388,\n",
      "        81.59126589,  81.59126589,  81.97797001,  50.65732915,\n",
      "        35.88156401,  35.88156401,  35.85498094,  85.74685874,\n",
      "       157.09995907, 157.09995907, 159.15569656, 106.14531765,\n",
      "        36.80681662,  36.80681662,  36.7877665 ,  58.19332724,\n",
      "        36.16418444,  36.16418444,  36.3060183 ,  90.18447565,\n",
      "        32.83003331,  32.83003331,  32.81875221,  25.5257341 ,\n",
      "        50.72328444,  50.72328444,  50.26798457,  28.8753221 ,\n",
      "        89.68452678,  89.68452678,  89.80278913,  81.39770281,\n",
      "        39.97641963,  39.97641963,  39.92173475,  59.3078787 ,\n",
      "        41.36455376,  41.36455376,  41.50486542,  52.4601721 ,\n",
      "        57.68929594,  57.68929594,  57.46945135,  55.63842232,\n",
      "        37.75185787,  37.75185787,  37.76478786,  46.53648948,\n",
      "        47.35393503,  47.35393503,  47.22743504,  56.30050302,\n",
      "        48.33331548,  48.33331548,  48.09129658, 155.76784771,\n",
      "       132.21353292, 132.21353292,   4.38533679,   4.38533679,\n",
      "         4.38533679,   4.38533679,   8.30139305,   8.30139305,\n",
      "         8.30139305,   8.30139305,   8.30139305, 132.47394194,\n",
      "        59.54844134,  51.504863  ,  51.504863  ,  51.61476222,\n",
      "        70.81148033,  53.29767937,  53.29767937,  53.34290138,\n",
      "       118.23647833,  25.87546347,  25.87546347,  25.85750241,\n",
      "       191.39862737, 192.24372946, 192.24372946, 195.5932536 ,\n",
      "        46.45756811,  81.37588868,  81.37588868,  80.9311136 ,\n",
      "       177.12737645,  36.88688646,  36.88688646,  36.66077341,\n",
      "        68.33844149,  58.60561528,  58.60561528,  58.44816444,\n",
      "        46.69831351,  43.08413939,  43.08413939,  43.08248701,\n",
      "        61.0932906 ,  34.58304616,  34.58304616,  34.62902074,\n",
      "        84.9792777 ,  64.39072755,  64.39072755,  64.60560743,\n",
      "        82.32344215,  31.10353562,  31.10353562,  31.08032059,\n",
      "        35.07619529,  66.78312173,  66.78312173,  66.75157152,\n",
      "       102.63208391,  38.15247107,  38.15247107,  38.22679269,\n",
      "       134.83849682,  42.67985473,  42.67985473,   8.75909962,\n",
      "         8.75909962,   8.75909962,   8.75909962,  42.6712094 ,\n",
      "        44.55825461,  55.56842885,  55.56842885,  55.59828677,\n",
      "       126.54943174,  27.53784736,  27.53784736,  27.5864764 ,\n",
      "        49.69973228,  78.8832333 ,  78.8832333 ,  78.82477173,\n",
      "        34.15450328,  54.08846337,  54.08846337,  54.14960405,\n",
      "        41.24178457,  29.58892632,  29.58892632,  29.6000208 ,\n",
      "       126.20425014,  61.92781948,  61.92781948,  61.77394446,\n",
      "        72.58083777, 122.01695089, 122.01695089,   5.62108403,\n",
      "         5.62108403,   5.62108403,   5.62108403, 123.40631695,\n",
      "        41.93704858,  60.81892182,  60.81892182,  60.96308968,\n",
      "        77.03104458,  61.5504854 ,  61.5504854 ,  61.60392341,\n",
      "        48.68073463,  46.45499905,  46.45499905,  46.38494697,\n",
      "        60.07226622,  53.72846903,  53.72846903,  53.70981226,\n",
      "       187.84060356, 106.64471537, 106.64471537,   5.11110008,\n",
      "         5.11110008,   5.11110008,   5.11110008, 106.76445632,\n",
      "       153.71976689,  65.49757892,  65.49757892,  65.41798709,\n",
      "       110.18294498,  44.79879731,  44.79879731,  44.95452363,\n",
      "       126.24616223,  55.48556728,  55.48556728,  55.17005504,\n",
      "        29.40470563,  43.08177972,  43.08177972,  43.19388382,\n",
      "        75.79013003,  73.8556512 ,  73.8556512 ,  74.19072   ,\n",
      "        51.13070941,  57.97649292,  57.97649292,  57.72312704,\n",
      "        48.74933215,  44.59500552,  44.59500552,  44.55242615,\n",
      "        89.18427674,  28.86139525,  28.86139525,  28.90460426,\n",
      "       173.68655524,  56.53795841,  56.53795841,  56.99324511,\n",
      "        44.30160232,  46.01758815,  46.01758815,  45.8590885 ,\n",
      "        43.83963267,  75.73319987,  75.73319987,  75.35943451,\n",
      "        60.90552118,  41.63869736,  41.63869736,  41.71851674])\n",
      "reading array([ 88.35872379,  52.5560163 ,  52.5560163 ,  52.38402383,\n",
      "        75.34015706,  84.01117306,  84.01117306,  83.2373654 ,\n",
      "       106.88381294,  65.43826332,  65.43826332,  65.37243421,\n",
      "       141.90546639,  86.08603046,  86.08603046,  83.28055127,\n",
      "        54.52800442,  37.03419192,  37.03419192,  37.24423078,\n",
      "        39.58212088,  55.75818653,  55.75818653,  55.84985555,\n",
      "       194.26994459,  88.07882208,  88.07882208,  88.99732661,\n",
      "        39.86478824,  60.71323622,  60.71323622,  60.53554808,\n",
      "       119.70698665,  38.38845541,  38.38845541,  38.28409161,\n",
      "       148.21968334,  86.61116176,  86.61116176,  86.64023146,\n",
      "        63.95492154,  35.06499746,  35.06499746,  35.07012158,\n",
      "        46.31873677,  46.82008975,  46.82008975,  46.96458725,\n",
      "        60.78954319, 126.77855001, 126.77855001, 126.85285711,\n",
      "       114.43787142,  27.72746034,  27.72746034,  27.71332446,\n",
      "        48.76798976,  53.65188163,  53.65188163,  53.65621191,\n",
      "        43.69934575,  47.53830966,  47.53830966,  47.51236032,\n",
      "       138.63509723,  41.00929514,  41.00929514,   4.15050499,\n",
      "         4.15050499,   4.15050499,   4.15050499,  40.98031325,\n",
      "        83.89978937,  29.49288876,  29.49288876,  29.49198093,\n",
      "        48.31683784,  40.77728909,  40.77728909,  40.73416733,\n",
      "        96.84527167,  38.23212049,  38.23212049,  38.19896576,\n",
      "        41.97697145,  59.11541224,  59.11541224,  59.13724726,\n",
      "       142.11510277, 125.97153601, 125.97153601, 126.47181489,\n",
      "        99.9833478 ,  38.42392612,  38.42392612,  38.56362086,\n",
      "        49.03291187,  39.16130492,  39.16130492,  39.39670097,\n",
      "        48.87202496,  42.84786043,  42.84786043,  42.65177685,\n",
      "        56.01151818,  38.65341322,  38.65341322,  38.7210157 ,\n",
      "        67.03218227,  57.03356075,  57.03356075,  56.8859121 ,\n",
      "        81.6689029 ,  37.45563694,  37.45563694,  37.41202517,\n",
      "        51.33743919,  55.9648835 ,  55.9648835 ,  55.87676228,\n",
      "       138.13105399,  66.83212765,  66.83212765,   6.94737829,\n",
      "         6.94737829,   6.94737829,   6.94737829,  66.68009327,\n",
      "       109.30278048,  55.05934844,  55.05934844,   8.64005241,\n",
      "         8.64005241,   8.64005241,   8.64005241,   6.6121817 ,\n",
      "         6.6121817 ,   6.6121817 ,   6.6121817 ,   6.6121817 ,\n",
      "        54.94315159,  44.71474232,  40.73927362,  40.73927362,\n",
      "        40.72549763,  41.89352537,  49.36862504,  49.36862504,\n",
      "        49.48685818,  86.36778291,  61.02616496,  61.02616496,\n",
      "        61.00348324, 128.70881964,  34.88502957,  34.88502957,\n",
      "        34.89370529,  74.72118667,  47.77258133,  47.77258133,\n",
      "        47.97332653,  56.38417177,  62.38924825,  62.38924825,\n",
      "        62.65597136,  81.67930561,  55.50236703,  55.50236703,\n",
      "        55.6054619 ,  54.52221047,  49.50808521,  49.50808521,\n",
      "        49.70673506,  46.94119806,  47.20457096,  47.20457096,\n",
      "        47.27352645,  69.16063149,  78.27794572,  78.27794572,\n",
      "         6.88735305,   6.88735305,   6.88735305,   6.88735305,\n",
      "        78.30233386,  92.54436268,  84.70456403,  84.70456403,\n",
      "        84.62002427,  72.29216599,  64.47691155,  64.47691155,\n",
      "        64.83070059, 409.70843731, 160.74479615, 160.74479615,\n",
      "       163.36004442,  77.12662191,  36.4389926 ,  36.4389926 ,\n",
      "        36.48197059, 129.92691183, 108.49883823, 108.49883823,\n",
      "       108.18200249, 125.71083638,  32.56283369,  32.56283369,\n",
      "        32.4862329 ,  40.30271939,  51.90848058,  51.90848058,\n",
      "        51.93461855, 101.51062133,  52.16636996,  52.16636996,\n",
      "        52.0906679 ,  88.58158208,  67.82574561,  67.82574561,\n",
      "        69.5514503 , 134.60140717,  90.41470397,  90.41470397,\n",
      "        90.64924556,  79.24987047,  35.33510234,  35.33510234,\n",
      "        35.3535795 ,  27.53395757, 121.82959442, 121.82959442,\n",
      "       116.62133185,  62.33117478,  28.83015743,  28.83015743,\n",
      "        28.8661648 ,  49.54779545,  44.79715196,  44.79715196,\n",
      "        44.69443085, 162.501742  ,  36.47521066,  36.47521066,\n",
      "        36.4260609 ,  57.10597806,  37.7327282 ,  37.7327282 ,\n",
      "        37.90999717, 181.49442371,  53.52900596,  53.52900596,\n",
      "        53.30788681,  62.66511308,  49.2001532 ,  49.2001532 ,\n",
      "        49.6272703 ,  87.49270976,  34.19603319,  34.19603319,\n",
      "        34.20167053,  64.27707984,  45.98148272,  45.98148272,\n",
      "         5.32186092,   5.32186092,   5.32186092,   5.32186092,\n",
      "         3.71645488,   3.71645488,   3.71645488,   3.71645488,\n",
      "         3.71645488,   4.02573771,   4.02573771,   4.02573771,\n",
      "         4.02573771,   4.02573771,  45.8294583 , 137.65706675,\n",
      "       137.82609948, 137.82609948, 140.20672477,  41.88661378,\n",
      "        50.16451528,  50.16451528,  50.13918696, 189.55187797,\n",
      "        69.52900147,  69.52900147,  69.7803922 ,  85.25403166,\n",
      "        82.32694367,  82.32694367,  81.02631313,  35.62161555,\n",
      "       194.51280497, 194.51280497, 181.86885876,  42.7649914 ,\n",
      "        53.98975366,  53.98975366,  53.90081822, 123.49325457,\n",
      "        34.00198053,  34.00198053,  33.97869612,  76.31482064,\n",
      "        31.43538407,  31.43538407,  31.39348273,  55.50769971,\n",
      "        44.1654036 ,  44.1654036 ,  44.12535269, 119.60071504,\n",
      "        66.86543217,  66.86543217,  65.36171674, 117.93673295,\n",
      "        38.60248887,  38.60248887,  38.67384561,  88.91621543,\n",
      "        59.42153971,  59.42153971,  59.42249302,  94.62096642,\n",
      "        60.38681019,  60.38681019,  60.41091483,  88.23490563,\n",
      "        97.96885753,  97.96885753,   6.21784619,   6.21784619,\n",
      "         6.21784619,   6.21784619,  97.84301613,  60.25213133,\n",
      "        37.26279999,  37.26279999,  37.23898709,  88.86714968,\n",
      "        26.18230782,  26.18230782,  26.15467977,  41.78539303,\n",
      "        52.57705471,  52.57705471,  52.59537149, 103.67200391,\n",
      "        33.52673117,  33.52673117,  33.57273198,  28.81186182,\n",
      "        96.43871617,  96.43871617,  96.7089768 ,  78.80892722,\n",
      "        38.47606001,  38.47606001,  38.51433212, 168.6169744 ,\n",
      "       167.29382107, 167.29382107,   2.91617992,   2.91617992,\n",
      "         2.91617992,   2.91617992, 165.05592512,  73.85954974,\n",
      "        43.43238226,  43.43238226,  43.38908576, 146.20343866,\n",
      "        29.30296565,  29.30296565,  29.24821931,  77.89716846,\n",
      "       145.83657724, 145.83657724, 145.85632055,  90.97179694,\n",
      "        85.106841  ,  85.106841  ,  84.57031801,  64.82293368,\n",
      "        45.01080002,  45.01080002,   2.79681986,   2.79681986,\n",
      "         2.79681986,   2.79681986,  44.7796283 ,  72.21666028,\n",
      "        46.88331176,  46.88331176,  46.95373218,  49.57418466,\n",
      "        41.8504303 ,  41.8504303 ,  41.59197996,  98.98271995,\n",
      "        27.27257313,  27.27257313,  27.28854242,  50.19167426,\n",
      "        40.93017852,  40.93017852,  41.0371756 , 104.85338073,\n",
      "        35.26710829,  35.26710829,  35.28818523,  48.08172951,\n",
      "        65.78774878,  65.78774878,  65.7083212 ,  66.63296497,\n",
      "        45.62787515,  45.62787515,  46.06484524, 217.45932153,\n",
      "       217.45932153, 133.11227194, 133.11227194, 133.11227194,\n",
      "         4.03261614,   4.03261614,   4.03261614,   4.03261614,\n",
      "         5.71913642,   5.71913642,   5.71913642,   5.71913642,\n",
      "       133.25826192,   4.02460498,   4.02460498,  58.07883492,\n",
      "        42.43225951,  42.43225951,  42.60982669,  73.60908903,\n",
      "       106.45029258, 106.45029258, 107.14272357,  71.38401806,\n",
      "        48.54296413,  48.54296413,  48.55283683,  64.78400858,\n",
      "        66.70646985,  66.70646985,  66.82286037,  95.45053473,\n",
      "        34.4063727 ,  34.4063727 ,  34.47878715,  58.33219777,\n",
      "        44.09805157,  44.09805157,  44.32610925,  63.46597266,\n",
      "        35.33450637,  35.33450637,  35.23524194,  47.16827756,\n",
      "        49.05516008,  49.05516008,  48.95690634,  35.43846735,\n",
      "        34.11459445,  34.11459445,  34.12961079,  86.72754807,\n",
      "        53.83141463,  53.83141463,  53.91570024,  48.18659673,\n",
      "        44.05035771,  44.05035771,  44.0047877 ,  91.04789737,\n",
      "        40.45785665,  40.45785665,   7.79383044,   7.79383044,\n",
      "         7.79383044,   7.79383044,  40.42914143, 128.26366808,\n",
      "        55.89699092,  55.89699092,  55.96852373, 265.20089663,\n",
      "       132.67809643, 132.67809643, 132.61278621,  67.53918671])\n",
      "numpy.sqrt(lazyarray) = [9.066524493293999 7.89588050492787 7.89588050492787 7.786005047127827 6.467332441741339 6.998671799263057 6.998671799263057 ...]\n",
      "before computing another value...\n",
      "lazyarray**2 = [9.066524493293999 7.89588050492787 7.89588050492787 7.786005047127827 6.467332441741339 6.998671799263057 6.998671799263057 ...]\n"
     ]
    }
   ],
   "source": [
    "# Lazy:\n",
    "\n",
    "uproot.asdtype.debug_reading = True\n",
    "\n",
    "print(\"getting lazy array...\")\n",
    "lazyarray = events.lazyarray(\"E1\", entrysteps=500)\n",
    "print(f\"len(lazyarray.chunks) = {len(lazyarray.chunks)}\")\n",
    "\n",
    "print(\"before looking at the array...\")\n",
    "print(f\"lazyarray = {lazyarray}\")\n",
    "print(f\"chunks read = {[x.ismaterialized for x in lazyarray.chunks]}\")\n",
    "\n",
    "print(\"before computing a value...\")\n",
    "print(f\"numpy.sqrt(lazyarray) = {numpy.sqrt(lazyarray)}\")\n",
    "\n",
    "print(\"before computing another value...\")\n",
    "print(f\"lazyarray**2 = {numpy.sqrt(lazyarray)}\")\n",
    "\n",
    "uproot.asdtype.debug_reading = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{b'E1': array([ 82.20186639,  62.34492895,  62.34492895,  60.62187459,\n",
      "        41.82638891,  48.98140695,  48.98140695,  49.76072566,\n",
      "       132.78075492,  88.07833019,  88.07833019,  87.79565929,\n",
      "        48.61914427,  46.40435116,  46.40435116,  46.51991282,\n",
      "        57.36815016,  80.8941568 ,  80.8941568 ,  81.31144951,\n",
      "        79.48779395,  50.50759651,  50.50759651,  50.59211055,\n",
      "        41.47090944,  55.39297755,  55.39297755,  55.54290677,\n",
      "       112.8839809 ,  31.41995067,  31.41995067,  31.42339926,\n",
      "        73.34548002,  33.0810183 ,  33.0810183 ,  32.45151863,\n",
      "        36.76969687,  78.54927722,  78.54927722,  76.95658284,\n",
      "        71.38162765,  37.11945042,  37.11945042,  37.10875051,\n",
      "        41.34095485,  41.21802884,  41.21802884,  14.25833323,\n",
      "        14.25833323,  14.25833323,  14.25833323,  41.2330742 ,\n",
      "       105.725502  ,  68.35271716,  68.35271716,  68.45669076,\n",
      "       196.16113519,  29.90997935,  29.90997935,   8.67840117,\n",
      "         8.67840117,   8.67840117,   8.67840117,   6.03288979,\n",
      "         6.03288979,   6.03288979,   6.03288979,   6.03288979,\n",
      "         6.18369895,   6.18369895,   6.18369895,   6.18369895,\n",
      "         6.18369895,   6.18369895,   6.91442071,   6.91442071,\n",
      "         6.91442071,   6.91442071,   6.91442071,   6.91442071,\n",
      "         6.91442071,  29.87514879,  71.06802615,  51.68004106,\n",
      "        51.68004106,  51.64925183,  72.89894806,  37.59135117,\n",
      "        37.59135117,   3.68022577,   3.68022577,   3.68022577,\n",
      "         3.68022577,  37.62769734,  27.88268925,  41.50209382,\n",
      "        41.50209382,  41.54058015,  85.5567314 ,  29.89152216,\n",
      "        29.89152216,  29.82530216,  76.69810457,  86.97126468,\n",
      "        86.97126468,  86.43256899, 127.50778607,  39.79195384,\n",
      "        39.79195384,  39.74407998, 115.53811359,  47.29833494,\n",
      "        47.29833494,  47.44418685,  46.58616153,  45.20271281,\n",
      "        45.20271281,  45.48398147,  52.70709049,  62.26050977,\n",
      "        62.26050977,  62.27436398,  33.03261707,  83.95840602,\n",
      "        83.95840602,  83.76388426,  48.29133168,  41.31743732,\n",
      "        41.31743732,  41.42258624, 105.99649959,  82.74679137,\n",
      "        82.74679137,  11.8752667 ,  11.8752667 ,  11.8752667 ,\n",
      "        11.8752667 ,  83.09219982,  93.40588737,  51.97474787,\n",
      "        51.97474787,  51.9919392 ,  62.27836012,  38.43790063,\n",
      "        38.43790063,  38.39228365, 161.5912558 ,  39.65170143,\n",
      "        39.65170143,  39.76693154,  66.88012568,  42.39460789,\n",
      "        42.39460789,  42.48039832,  46.92335006,  46.92455779,\n",
      "        46.92455779,  46.60761536,  50.06497373,  55.9734727 ,\n",
      "        55.9734727 ,  55.84905046, 102.20124345,  39.61899834,\n",
      "        39.61899834,  39.65573994,  67.47956761,  57.80467657,\n",
      "        57.80467657,  57.76942704,  51.04741038,  38.47067848,\n",
      "        38.47067848,  38.85771495,  64.97495956,  35.76287676,\n",
      "        35.76287676,  35.76622753,  51.02758661,  40.16542196,\n",
      "        40.16542196,  40.21951192,  92.98845663,  30.88757883,\n",
      "        30.88757883,  30.878293  ,  62.54839167,  37.26885489,\n",
      "        37.26885489,  37.34925284,  91.94361717,  39.52334744,\n",
      "        39.52334744,  39.37759624,  48.2271562 ,  59.57496608,\n",
      "        59.57496608,  59.75775839,  77.57064047,  92.84879252,\n",
      "        92.84879252,  95.99500573,  42.71818808,  52.4885467 ,\n",
      "        52.4885467 ,  52.51843993,  88.64234354,  31.64410794,\n",
      "        31.64410794,  31.64959256,  87.4056862 ,  49.38242655,\n",
      "        49.38242655,  49.27349107,  53.50000015,  67.64285194,\n",
      "        67.64285194,  67.76791299, 100.28242941,  23.36178732,\n",
      "        23.36178732,  23.33391632,  50.40529434, 254.76182152,\n",
      "       254.76182152, 258.89666354,  72.76396876,  41.46279188,\n",
      "        41.46279188,  41.6119257 ,  41.93974732,  48.29596747,\n",
      "        48.29596747,  48.34900079,  78.74030586,  66.05473351,\n",
      "        66.05473351,  65.88471968,  87.34089322,  33.2601818 ,\n",
      "        33.2601818 ,  33.19079216,  63.87067872,  75.36016204,\n",
      "        75.36016204,  76.60169876, 107.15594485,  23.8806628 ,\n",
      "        23.8806628 ,  23.90109599,  40.2949981 ,  56.86658408,\n",
      "        56.86658408,  56.81195823, 122.17847187,  34.46781762,\n",
      "        34.46781762,  34.54308174,  71.33230751,  40.34913239,\n",
      "        40.34913239,   3.7887485 ,   3.7887485 ,   3.7887485 ,\n",
      "         3.7887485 ,  40.31016759, 131.45150914,  28.26313485,\n",
      "        28.26313485,  28.16323056,  66.23584194,  96.52045244,\n",
      "        96.52045244,  96.42160657,  82.4771798 ,  34.72916771,\n",
      "        34.72916771,  34.86326179, 136.91245633, 176.10798619,\n",
      "       176.10798619, 179.18672432, 107.02007991,  46.58701508,\n",
      "        46.58701508,  46.79108367, 116.13180937,  74.16383242,\n",
      "        74.16383242,  74.04477484,  81.63601162,  89.92101662,\n",
      "        89.92101662,  89.81354226,  40.39614676,  58.81178525,\n",
      "        58.81178525,  58.83806348,  69.51646816,  31.21703518,\n",
      "        31.21703518,  31.18352384, 104.41725376, 184.9226554 ,\n",
      "       184.9226554 , 185.9655727 , 126.11541216,  42.446788  ,\n",
      "        42.446788  ,  42.47991382,  98.58850005,  52.37490921,\n",
      "        52.37490921,  52.18606965,  94.83143467,  36.13129471,\n",
      "        36.13129471,  36.15666544,  48.28351078,  42.95434659,\n",
      "        42.95434659,  42.95856584,  52.74409028,  43.33089038,\n",
      "        43.33089038,  43.34744671,  61.90488395,  44.52607703,\n",
      "        44.52607703,  44.53126836,  46.27753806,  46.95140984,\n",
      "        46.95140984,  46.94968131,  60.2129981 ,  37.8612658 ,\n",
      "        37.8612658 ,  37.8285843 ,  67.7653656 ,  37.10912077,\n",
      "        37.10912077,  37.04726169, 118.89463886,  48.99630469,\n",
      "        48.99630469,  49.01124244, 100.11067561,  40.22610505,\n",
      "        40.22610505,   2.80131924,   2.80131924,   2.80131924,\n",
      "         2.80131924,  40.40268363, 126.87239391,  60.69529477,\n",
      "        60.69529477,  60.41347555,  60.45034273,  47.80394443,\n",
      "        47.80394443,  47.85848542,  56.76804815, 138.26451913,\n",
      "       138.26451913,   4.88393134,   4.88393134,   4.88393134,\n",
      "         4.88393134, 138.08959514,  40.25440134,  61.67817632,\n",
      "        61.67817632,  61.72165702, 199.44834987,  41.601314  ,\n",
      "        41.601314  ,  41.59079094,  86.53026194,  76.35054423,\n",
      "        76.35054423,  76.08791093,  67.61662778,  59.72331911,\n",
      "        59.72331911,  59.80469062,  50.57086751, 110.42820932,\n",
      "       110.42820932, 109.89557663, 104.2172648 ,  86.06284772,\n",
      "        86.06284772,  87.03293319, 139.23854951,  54.9396813 ,\n",
      "        54.9396813 ,   3.31356021,   3.31356021,   3.31356021,\n",
      "         3.31356021,  54.65006448,  46.78336013,  43.53657461,\n",
      "        43.53657461,  43.58139103, 110.73400727,  66.06582381,\n",
      "        66.06582381,  64.56707909, 127.01099668,  55.5268161 ,\n",
      "        55.5268161 ,  55.41932963,  82.02574047,  92.01408361,\n",
      "        92.01408361,  90.42667708,  45.69709417,  43.26503587,\n",
      "        43.26503587,  43.2322141 , 115.23484945, 108.4062278 ,\n",
      "       108.4062278 , 106.84622683,  68.25083863,  59.50132924,\n",
      "        59.50132924,  59.45330573, 159.94779602,  94.3388382 ,\n",
      "        94.3388382 ,  93.2629199 , 108.198462  ,  58.93886755,\n",
      "        58.93886755,   3.52188742,   3.52188742,   3.52188742,\n",
      "         3.52188742,  58.5886036 ,  62.66659673,  50.82144749,\n",
      "        50.82144749,  51.09930061,  89.26461232,  92.94113586,\n",
      "        92.94113586,  92.66318339, 121.49702189,  41.3100944 ,\n",
      "        41.3100944 ,  41.22465063,  65.64283286,  33.73566654,\n",
      "        33.73566654,  33.74026326,  39.85707511,  42.00168437,\n",
      "        42.00168437,  42.05068821,  79.10783081,  42.85746059,\n",
      "        42.85746059,  42.97136038,  60.16055065,  39.80387256,\n",
      "        39.80387256,  39.80157369,  42.42033794,  39.06837782,\n",
      "        39.06837782,  39.08969083, 141.78830565,  92.4850421 ,\n",
      "        92.4850421 ,  92.50799062,  69.71747155,  33.8122598 ,\n",
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      "         8.75909962,   8.75909962,   8.75909962,  42.6712094 ,\n",
      "        44.55825461,  55.56842885,  55.56842885,  55.59828677,\n",
      "       126.54943174,  27.53784736,  27.53784736,  27.5864764 ,\n",
      "        49.69973228,  78.8832333 ,  78.8832333 ,  78.82477173,\n",
      "        34.15450328,  54.08846337,  54.08846337,  54.14960405,\n",
      "        41.24178457,  29.58892632,  29.58892632,  29.6000208 ,\n",
      "       126.20425014,  61.92781948,  61.92781948,  61.77394446,\n",
      "        72.58083777, 122.01695089, 122.01695089,   5.62108403,\n",
      "         5.62108403,   5.62108403,   5.62108403, 123.40631695,\n",
      "        41.93704858,  60.81892182,  60.81892182,  60.96308968,\n",
      "        77.03104458,  61.5504854 ,  61.5504854 ,  61.60392341,\n",
      "        48.68073463,  46.45499905,  46.45499905,  46.38494697,\n",
      "        60.07226622,  53.72846903,  53.72846903,  53.70981226,\n",
      "       187.84060356, 106.64471537, 106.64471537,   5.11110008,\n",
      "         5.11110008,   5.11110008,   5.11110008, 106.76445632,\n",
      "       153.71976689,  65.49757892,  65.49757892,  65.41798709,\n",
      "       110.18294498,  44.79879731,  44.79879731,  44.95452363,\n",
      "       126.24616223,  55.48556728,  55.48556728,  55.17005504,\n",
      "        29.40470563,  43.08177972,  43.08177972,  43.19388382,\n",
      "        75.79013003,  73.8556512 ,  73.8556512 ,  74.19072   ,\n",
      "        51.13070941,  57.97649292,  57.97649292,  57.72312704,\n",
      "        48.74933215,  44.59500552,  44.59500552,  44.55242615,\n",
      "        89.18427674,  28.86139525,  28.86139525,  28.90460426,\n",
      "       173.68655524,  56.53795841,  56.53795841,  56.99324511,\n",
      "        44.30160232,  46.01758815,  46.01758815,  45.8590885 ,\n",
      "        43.83963267,  75.73319987,  75.73319987,  75.35943451,\n",
      "        60.90552118,  41.63869736,  41.63869736,  41.71851674])}\n",
      "{b'E1': array([ 88.35872379,  52.5560163 ,  52.5560163 ,  52.38402383,\n",
      "        75.34015706,  84.01117306,  84.01117306,  83.2373654 ,\n",
      "       106.88381294,  65.43826332,  65.43826332,  65.37243421,\n",
      "       141.90546639,  86.08603046,  86.08603046,  83.28055127,\n",
      "        54.52800442,  37.03419192,  37.03419192,  37.24423078,\n",
      "        39.58212088,  55.75818653,  55.75818653,  55.84985555,\n",
      "       194.26994459,  88.07882208,  88.07882208,  88.99732661,\n",
      "        39.86478824,  60.71323622,  60.71323622,  60.53554808,\n",
      "       119.70698665,  38.38845541,  38.38845541,  38.28409161,\n",
      "       148.21968334,  86.61116176,  86.61116176,  86.64023146,\n",
      "        63.95492154,  35.06499746,  35.06499746,  35.07012158,\n",
      "        46.31873677,  46.82008975,  46.82008975,  46.96458725,\n",
      "        60.78954319, 126.77855001, 126.77855001, 126.85285711,\n",
      "       114.43787142,  27.72746034,  27.72746034,  27.71332446,\n",
      "        48.76798976,  53.65188163,  53.65188163,  53.65621191,\n",
      "        43.69934575,  47.53830966,  47.53830966,  47.51236032,\n",
      "       138.63509723,  41.00929514,  41.00929514,   4.15050499,\n",
      "         4.15050499,   4.15050499,   4.15050499,  40.98031325,\n",
      "        83.89978937,  29.49288876,  29.49288876,  29.49198093,\n",
      "        48.31683784,  40.77728909,  40.77728909,  40.73416733,\n",
      "        96.84527167,  38.23212049,  38.23212049,  38.19896576,\n",
      "        41.97697145,  59.11541224,  59.11541224,  59.13724726,\n",
      "       142.11510277, 125.97153601, 125.97153601, 126.47181489,\n",
      "        99.9833478 ,  38.42392612,  38.42392612,  38.56362086,\n",
      "        49.03291187,  39.16130492,  39.16130492,  39.39670097,\n",
      "        48.87202496,  42.84786043,  42.84786043,  42.65177685,\n",
      "        56.01151818,  38.65341322,  38.65341322,  38.7210157 ,\n",
      "        67.03218227,  57.03356075,  57.03356075,  56.8859121 ,\n",
      "        81.6689029 ,  37.45563694,  37.45563694,  37.41202517,\n",
      "        51.33743919,  55.9648835 ,  55.9648835 ,  55.87676228,\n",
      "       138.13105399,  66.83212765,  66.83212765,   6.94737829,\n",
      "         6.94737829,   6.94737829,   6.94737829,  66.68009327,\n",
      "       109.30278048,  55.05934844,  55.05934844,   8.64005241,\n",
      "         8.64005241,   8.64005241,   8.64005241,   6.6121817 ,\n",
      "         6.6121817 ,   6.6121817 ,   6.6121817 ,   6.6121817 ,\n",
      "        54.94315159,  44.71474232,  40.73927362,  40.73927362,\n",
      "        40.72549763,  41.89352537,  49.36862504,  49.36862504,\n",
      "        49.48685818,  86.36778291,  61.02616496,  61.02616496,\n",
      "        61.00348324, 128.70881964,  34.88502957,  34.88502957,\n",
      "        34.89370529,  74.72118667,  47.77258133,  47.77258133,\n",
      "        47.97332653,  56.38417177,  62.38924825,  62.38924825,\n",
      "        62.65597136,  81.67930561,  55.50236703,  55.50236703,\n",
      "        55.6054619 ,  54.52221047,  49.50808521,  49.50808521,\n",
      "        49.70673506,  46.94119806,  47.20457096,  47.20457096,\n",
      "        47.27352645,  69.16063149,  78.27794572,  78.27794572,\n",
      "         6.88735305,   6.88735305,   6.88735305,   6.88735305,\n",
      "        78.30233386,  92.54436268,  84.70456403,  84.70456403,\n",
      "        84.62002427,  72.29216599,  64.47691155,  64.47691155,\n",
      "        64.83070059, 409.70843731, 160.74479615, 160.74479615,\n",
      "       163.36004442,  77.12662191,  36.4389926 ,  36.4389926 ,\n",
      "        36.48197059, 129.92691183, 108.49883823, 108.49883823,\n",
      "       108.18200249, 125.71083638,  32.56283369,  32.56283369,\n",
      "        32.4862329 ,  40.30271939,  51.90848058,  51.90848058,\n",
      "        51.93461855, 101.51062133,  52.16636996,  52.16636996,\n",
      "        52.0906679 ,  88.58158208,  67.82574561,  67.82574561,\n",
      "        69.5514503 , 134.60140717,  90.41470397,  90.41470397,\n",
      "        90.64924556,  79.24987047,  35.33510234,  35.33510234,\n",
      "        35.3535795 ,  27.53395757, 121.82959442, 121.82959442,\n",
      "       116.62133185,  62.33117478,  28.83015743,  28.83015743,\n",
      "        28.8661648 ,  49.54779545,  44.79715196,  44.79715196,\n",
      "        44.69443085, 162.501742  ,  36.47521066,  36.47521066,\n",
      "        36.4260609 ,  57.10597806,  37.7327282 ,  37.7327282 ,\n",
      "        37.90999717, 181.49442371,  53.52900596,  53.52900596,\n",
      "        53.30788681,  62.66511308,  49.2001532 ,  49.2001532 ,\n",
      "        49.6272703 ,  87.49270976,  34.19603319,  34.19603319,\n",
      "        34.20167053,  64.27707984,  45.98148272,  45.98148272,\n",
      "         5.32186092,   5.32186092,   5.32186092,   5.32186092,\n",
      "         3.71645488,   3.71645488,   3.71645488,   3.71645488,\n",
      "         3.71645488,   4.02573771,   4.02573771,   4.02573771,\n",
      "         4.02573771,   4.02573771,  45.8294583 , 137.65706675,\n",
      "       137.82609948, 137.82609948, 140.20672477,  41.88661378,\n",
      "        50.16451528,  50.16451528,  50.13918696, 189.55187797,\n",
      "        69.52900147,  69.52900147,  69.7803922 ,  85.25403166,\n",
      "        82.32694367,  82.32694367,  81.02631313,  35.62161555,\n",
      "       194.51280497, 194.51280497, 181.86885876,  42.7649914 ,\n",
      "        53.98975366,  53.98975366,  53.90081822, 123.49325457,\n",
      "        34.00198053,  34.00198053,  33.97869612,  76.31482064,\n",
      "        31.43538407,  31.43538407,  31.39348273,  55.50769971,\n",
      "        44.1654036 ,  44.1654036 ,  44.12535269, 119.60071504,\n",
      "        66.86543217,  66.86543217,  65.36171674, 117.93673295,\n",
      "        38.60248887,  38.60248887,  38.67384561,  88.91621543,\n",
      "        59.42153971,  59.42153971,  59.42249302,  94.62096642,\n",
      "        60.38681019,  60.38681019,  60.41091483,  88.23490563,\n",
      "        97.96885753,  97.96885753,   6.21784619,   6.21784619,\n",
      "         6.21784619,   6.21784619,  97.84301613,  60.25213133,\n",
      "        37.26279999,  37.26279999,  37.23898709,  88.86714968,\n",
      "        26.18230782,  26.18230782,  26.15467977,  41.78539303,\n",
      "        52.57705471,  52.57705471,  52.59537149, 103.67200391,\n",
      "        33.52673117,  33.52673117,  33.57273198,  28.81186182,\n",
      "        96.43871617,  96.43871617,  96.7089768 ,  78.80892722,\n",
      "        38.47606001,  38.47606001,  38.51433212, 168.6169744 ,\n",
      "       167.29382107, 167.29382107,   2.91617992,   2.91617992,\n",
      "         2.91617992,   2.91617992, 165.05592512,  73.85954974,\n",
      "        43.43238226,  43.43238226,  43.38908576, 146.20343866,\n",
      "        29.30296565,  29.30296565,  29.24821931,  77.89716846,\n",
      "       145.83657724, 145.83657724, 145.85632055,  90.97179694,\n",
      "        85.106841  ,  85.106841  ,  84.57031801,  64.82293368,\n",
      "        45.01080002,  45.01080002,   2.79681986,   2.79681986,\n",
      "         2.79681986,   2.79681986,  44.7796283 ,  72.21666028,\n",
      "        46.88331176,  46.88331176,  46.95373218,  49.57418466,\n",
      "        41.8504303 ,  41.8504303 ,  41.59197996,  98.98271995,\n",
      "        27.27257313,  27.27257313,  27.28854242,  50.19167426,\n",
      "        40.93017852,  40.93017852,  41.0371756 , 104.85338073,\n",
      "        35.26710829,  35.26710829,  35.28818523,  48.08172951,\n",
      "        65.78774878,  65.78774878,  65.7083212 ,  66.63296497,\n",
      "        45.62787515,  45.62787515,  46.06484524, 217.45932153,\n",
      "       217.45932153, 133.11227194, 133.11227194, 133.11227194,\n",
      "         4.03261614,   4.03261614,   4.03261614,   4.03261614,\n",
      "         5.71913642,   5.71913642,   5.71913642,   5.71913642,\n",
      "       133.25826192,   4.02460498,   4.02460498,  58.07883492,\n",
      "        42.43225951,  42.43225951,  42.60982669,  73.60908903,\n",
      "       106.45029258, 106.45029258, 107.14272357,  71.38401806,\n",
      "        48.54296413,  48.54296413,  48.55283683,  64.78400858,\n",
      "        66.70646985,  66.70646985,  66.82286037,  95.45053473,\n",
      "        34.4063727 ,  34.4063727 ,  34.47878715,  58.33219777,\n",
      "        44.09805157,  44.09805157,  44.32610925,  63.46597266,\n",
      "        35.33450637,  35.33450637,  35.23524194,  47.16827756,\n",
      "        49.05516008,  49.05516008,  48.95690634,  35.43846735,\n",
      "        34.11459445,  34.11459445,  34.12961079,  86.72754807,\n",
      "        53.83141463,  53.83141463,  53.91570024,  48.18659673,\n",
      "        44.05035771,  44.05035771,  44.0047877 ,  91.04789737,\n",
      "        40.45785665,  40.45785665,   7.79383044,   7.79383044,\n",
      "         7.79383044,   7.79383044,  40.42914143, 128.26366808,\n",
      "        55.89699092,  55.89699092,  55.96852373, 265.20089663,\n",
      "       132.67809643, 132.67809643, 132.61278621,  67.53918671])}\n",
      "{b'E1': array([ 46.0752809 ,  46.0752809 ,  45.93225789,  51.01950403,\n",
      "        84.91115834,  84.91115834,  85.40183438,  58.61087121,\n",
      "        35.85560212,  35.85560212,  35.80270221,  65.69128374,\n",
      "        34.92194525,  34.92194525,  35.1131883 ,  63.33409091,\n",
      "        28.33785313,  28.33785313,  28.29919652, 129.93892751,\n",
      "        76.2413413 ,  76.2413413 ,  19.43559742,  19.43559742,\n",
      "        19.43559742,  19.43559742,  77.06603846,  88.87206301,\n",
      "        76.9896967 ,  76.9896967 ,  77.13454466,  80.46643455,\n",
      "        50.22352215,  50.22352215,  50.32671059, 156.86919654,\n",
      "        25.07053007,  25.07053007,  25.0157658 ,  41.21248819,\n",
      "        59.74725995,  59.74725995,  60.03458757, 114.59109646,\n",
      "        46.09001797,  46.09001797,  45.3606167 ,   6.63621225,\n",
      "         6.63621225,  47.14487282,  47.14487282,  47.14487282,\n",
      "        46.57451906,  46.57451906,  46.57451906,  46.57451906,\n",
      "        47.21938272,  46.53882963,  46.53882963,  42.44033505,\n",
      "        50.28127027,  50.28127027,  50.34189109,  49.22061868,\n",
      "        50.13765098,  50.13765098,  50.41556485,  58.55740104,\n",
      "        66.25855582,  66.25855582,  66.16414935,  42.0899355 ,\n",
      "        85.2964904 ,  85.2964904 ,  85.76539914,  43.67188221,\n",
      "        47.86001375,  47.86001375,  48.00145743,  51.89875501,\n",
      "        46.86844432,  46.86844432,  46.79679221, 196.5144228 ,\n",
      "        42.0469666 ,  42.0469666 ,  41.91187501, 174.62404314,\n",
      "        81.09396457,  81.09396457,  81.69445412, 103.13230108,\n",
      "       135.07364701, 135.07364701, 134.47187143,  60.14923662,\n",
      "        37.89763776,  37.89763776,  37.87535674, 106.8741986 ,\n",
      "        26.20362085,  26.20362085,  26.19512521,  44.39885681,\n",
      "        25.448428  ,  25.448428  ,  25.46106481,  66.66163274,\n",
      "       109.35030321, 109.35030321, 110.34275706,  99.71032777,\n",
      "        24.01901969,  24.01901969,  24.08372758,  36.8158374 ,\n",
      "        73.91941444,  73.91941444,  73.67659173,  56.80244434,\n",
      "        52.11974215,  52.11974215,  52.11422256,  76.57235623,\n",
      "        35.56797446,  35.56797446,  35.52918684,  20.29029808,\n",
      "        20.29029808,  66.41965668,  66.41965668,  66.41965668,\n",
      "        43.62290835,  43.62290835,  43.62290835,  43.62290835,\n",
      "        66.27032084,  43.65965777,  43.65965777, 117.96089673,\n",
      "       116.02402051, 116.02402051, 115.86429844, 181.14963955,\n",
      "        46.32347932,  46.32347932,  46.34264138,  39.84007354,\n",
      "        49.90479604,  49.90479604,  49.90611076,  68.83940379,\n",
      "        32.99969725,  32.99969725,  33.04348861,  45.97343103,\n",
      "        64.15355709,  64.15355709,  64.59826631, 173.71874741,\n",
      "        96.815185  ,  96.815185  ,  96.7923539 , 110.36657744,\n",
      "        37.06940706,  37.06940706,  37.17311116, 153.61763637,\n",
      "        69.92084398,  69.92084398,   5.37746271,   5.37746271,\n",
      "         5.37746271,   5.37746271,  69.94007349, 134.30583511,\n",
      "        62.46127367,  62.46127367,  62.53647059,  48.2570493 ,\n",
      "        43.66442238,  43.66442238,  43.62529629, 116.8518384 ,\n",
      "        66.4364895 ,  66.4364895 ,   8.5442139 ,   8.5442139 ,\n",
      "         8.5442139 ,   8.5442139 ,  66.24139308,  60.95001814,\n",
      "        31.95453952,  31.95453952,  31.98177713, 126.41108732,\n",
      "        76.72380447,  76.72380447,   6.49166823,   6.49166823,\n",
      "         6.49166823,   6.49166823,   6.83012466,   6.83012466,\n",
      "         6.83012466,   6.83012466,   6.83012466,  75.9084579 ,\n",
      "       132.38057047,  60.03479514,  60.03479514,  60.25783347,\n",
      "        75.08545414,  33.16996819,  33.16996819,  33.26996319,\n",
      "        54.99507245,  44.04162012,  44.04162012,  44.14031972,\n",
      "       108.00555628,  63.034422  ,  63.034422  ,  63.08933334,\n",
      "        54.3102105 ,  38.59888976,  38.59888976,  38.56231294,\n",
      "       109.16387103, 154.1797389 , 154.1797389 ,   3.61754968,\n",
      "         3.61754968,   3.61754968,   3.61754968, 154.48788823,\n",
      "        65.37227648,  45.59964124,  45.59964124,  45.66147668,\n",
      "        34.17148   ,  62.50570717,  62.50570717,  62.53544859,\n",
      "       131.59670502,  42.7932255 ,  42.7932255 ,  42.86945165,\n",
      "       104.8499588 , 144.20170261, 144.20170261, 144.13072657,\n",
      "        41.49020922,  49.39629022,  49.39629022,  49.37720121,\n",
      "        34.97314075,  32.78697141,  32.78697141,  32.78248453,\n",
      "        56.30050249,  45.91174393,  45.91174393,  45.85791096,\n",
      "        88.43999667,  51.04219402,  51.04219402,  51.14641243,\n",
      "       129.30699652,  69.25134207,  69.25134207,  68.0527026 ,\n",
      "        72.21726793,  23.71281669,  23.71281669,  23.6841903 ,\n",
      "        66.9672454 ,  33.71740911,  33.71740911,  33.85367838,\n",
      "        42.58018682,  53.52632157,  53.52632157,  53.50805529,\n",
      "        46.43240844,  52.58135709,  52.58135709,  52.53349992,\n",
      "        45.20561751,  58.23541104,  58.23541104,  58.0545706 ,\n",
      "       107.16778698,  35.36458334,  35.36458334,  35.46037568,\n",
      "        27.74254176,  32.67634359,  32.67634359,  32.70165023,\n",
      "       168.78012134,  81.27013558,  81.27013558,  81.56621735])}\n"
     ]
    }
   ],
   "source": [
    "# Iterative:\n",
    "\n",
    "for arrays in events.iterate(\"E1\", entrysteps=500):\n",
    "    print(arrays)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br>\n",
    "\n",
    "<p style=\"font-weight: bold; font-size: 1.875em; color: gray\">Advantages and disadvantages of each:</p>\n",
    "\n",
    "<table width=\"100%\" style=\"font-size: 1.25em\"><tr style=\"background: white;\">\n",
    "    <td width=\"33%\" style=\"vertical-align: top\">\n",
    "        <p style=\"font-weight: bold; font-size: 1.5em; margin-bottom: 0.5em\">Direct</p>\n",
    "        <p>Simple; returns pure Numpy arrays if possible.</p>\n",
    "    </td><td width=\"33%\" style=\"vertical-align: top\">\n",
    "        <p style=\"font-weight: bold; font-size: 1.5em; margin-bottom: 0.5em\">Lazy</p>\n",
    "        <p>Transparently work on data too large to fit into memory.</p>\n",
    "    </td><td width=\"33%\" style=\"vertical-align: top\">\n",
    "        <p style=\"font-weight: bold; font-size: 1.5em; margin-bottom: 0.5em\">Iterative</p>\n",
    "        <p>Control the loading of data into and out of memory.</p>\n",
    "    </td>\n",
    "</tr></table>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lazy or iteration steps as a fixed number of entries:\n",
      "500\n",
      "500\n",
      "500\n",
      "500\n",
      "304\n",
      "\n",
      "Lazy or iteration steps as a fixed memory footprint:\n",
      "717\n",
      "717\n",
      "717\n",
      "153\n"
     ]
    }
   ],
   "source": [
    "# Controlling the chunk size:\n",
    "\n",
    "print(\"Lazy or iteration steps as a fixed number of entries:\")\n",
    "for arrays in events.iterate(entrysteps=500):\n",
    "    print(len(arrays[b\"E1\"]))\n",
    "\n",
    "print(\"\\nLazy or iteration steps as a fixed memory footprint:\")\n",
    "for arrays in events.iterate(entrysteps=\"100 kB\"):\n",
    "    print(len(arrays[b\"E1\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "event                      TStreamerInfo              None\n",
      "TObject                    TStreamerInfo              None\n",
      "fUniqueID                  TStreamerBasicType         asdtype('>u4')\n",
      "fBits                      TStreamerBasicType         asdtype('>u4')\n",
      "\n",
      "fType[20]                  TStreamerBasicType         asdtype(\"('i1', (20,))\")\n",
      "fEventName                 TStreamerBasicType         asstring(4)\n",
      "fNtrack                    TStreamerBasicType         asdtype('>i4')\n",
      "fNseg                      TStreamerBasicType         asdtype('>i4')\n",
      "fNvertex                   TStreamerBasicType         asdtype('>u4')\n",
      "fFlag                      TStreamerBasicType         asdtype('>u4')\n",
      "fTemperature               TStreamerBasicType         asdtype('>f4', 'float64')\n",
      "fMeasures[10]              TStreamerBasicType         asdtype(\"('>i4', (10,))\")\n",
      "fMatrix[4][4]              TStreamerBasicType         asdtype(\"('>f4', (4, 4))\", \"('<f8', (4, 4))\")\n",
      "fClosestDistance           TStreamerBasicPointer      None\n",
      "fEvtHdr                    TStreamerObjectAny         None\n",
      "fEvtHdr.fEvtNum            TStreamerBasicType         asdtype('>i4')\n",
      "fEvtHdr.fRun               TStreamerBasicType         asdtype('>i4')\n",
      "fEvtHdr.fDate              TStreamerBasicType         asdtype('>i4')\n",
      "\n",
      "fTracks                    TStreamerObjectPointer     None\n",
      "fTracks.fUniqueID          TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fBits              TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fPx                TStreamerBasicType         asjagged(asdtype('>f4'))\n",
      "fTracks.fPy                TStreamerBasicType         asjagged(asdtype('>f4'))\n",
      "fTracks.fPz                TStreamerBasicType         asjagged(asdtype('>f4'))\n",
      "fTracks.fRandom            TStreamerBasicType         asjagged(asdtype('>f4'))\n",
      "fTracks.fMass2             TStreamerBasicType         asjagged(asfloat16(0.0, 0.0, 8, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fBx                TStreamerBasicType         asjagged(asfloat16(0.0, 0.0, 10, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fBy                TStreamerBasicType         asjagged(asfloat16(0.0, 0.0, 10, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fMeanCharge        TStreamerBasicType         asjagged(asdtype('>f4'))\n",
      "fTracks.fXfirst            TStreamerBasicType         asjagged(asfloat16(0, 0, 12, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fXlast             TStreamerBasicType         asjagged(asfloat16(0, 0, 12, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fYfirst            TStreamerBasicType         asjagged(asfloat16(0, 0, 12, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fYlast             TStreamerBasicType         asjagged(asfloat16(0, 0, 12, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fZfirst            TStreamerBasicType         asjagged(asfloat16(0, 0, 12, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fZlast             TStreamerBasicType         asjagged(asfloat16(0, 0, 12, dtype([('exponent', 'u1'), ('mantissa', '>u2')]), dtype('float32')))\n",
      "fTracks.fCharge            TStreamerBasicType         asjagged(asdouble32(-1.0, 1.0, 2, dtype('>u4'), dtype('float64')))\n",
      "fTracks.fVertex[3]         TStreamerBasicType         asjagged(asdouble32(-30.0, 30.0, 16, dtype(('>u4', (3,))), dtype(('<f8', (3,)))))\n",
      "fTracks.fNpoint            TStreamerBasicType         asjagged(asdtype('>i4'))\n",
      "fTracks.fValid             TStreamerBasicType         asjagged(asdtype('>i2'))\n",
      "fTracks.fNsp               TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fPointValue        TStreamerBasicPointer      None\n",
      "fTracks.fTriggerBits.fUniqueID\n",
      "                           TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fTriggerBits.fBits TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fTriggerBits.fNbits\n",
      "                           TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fTriggerBits.fNbytes\n",
      "                           TStreamerBasicType         asjagged(asdtype('>u4'))\n",
      "fTracks.fTriggerBits.fAllBits\n",
      "                           TStreamerBasicPointer      asjagged(asdtype('uint8'), 1)\n",
      "fTracks.fTArray[3]         TStreamerBasicType         asjagged(asdtype(\"('>f4', (3,))\"))\n",
      "\n",
      "fHighPt                    TStreamerObjectPointer     asgenobj(TRefArray)\n",
      "fMuons                     TStreamerObjectPointer     asgenobj(TRefArray)\n",
      "fLastTrack                 TStreamerInfo              asgenobj(TRef)\n",
      "fWebHistogram              TStreamerInfo              asgenobj(TRef)\n",
      "fH                         TStreamerObjectPointer     asgenobj(TH1F)\n",
      "fTriggerBits               TStreamerInfo              None\n",
      "fTriggerBits.TObject       (no streamer)              None\n",
      "fTriggerBits.fUniqueID     (no streamer)              asdtype('>u4')\n",
      "fTriggerBits.fBits         (no streamer)              asdtype('>u4')\n",
      "\n",
      "fTriggerBits.fNbits        TStreamerBasicType         asdtype('>u4')\n",
      "fTriggerBits.fNbytes       TStreamerBasicType         asdtype('>u4')\n",
      "fTriggerBits.fAllBits      TStreamerBasicPointer      asjagged(asdtype('uint8'), 1)\n",
      "\n",
      "fIsValid                   TStreamerBasicType         asdtype('bool')\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Reading complex data: mostly simplified by the fact that C++ classes are \"split\"\n",
    "# into TBranches, and most TBranches are simple arrays.\n",
    "\n",
    "tree = uproot.open(\"http://scikit-hep.org/uproot/examples/Event.root\")[\"T\"]\n",
    "tree.show()\n",
    "\n",
    "# branch name              streamer type, if any      uproot's interpretation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([20.28261757, 20.47114182, 20.5931778 , 20.5848484 , 20.80287933,\n",
       "       20.2972393 , 20.30301666, 20.87490845, 20.56552505, 20.67128181,\n",
       "       20.74524879, 20.85200119, 20.26188469, 20.82903862, 20.02412415,\n",
       "       20.97918129, 20.71551132, 20.60189629, 20.11310196, 20.53161049])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# In this view, class attributes are NOT special types; they're just numbers.\n",
    "\n",
    "tree.array(\"fTemperature\", entrystop=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[ 1.54053164,  0.09474282,  1.52469206,  0.        ],\n",
       "        [-0.13630907,  0.80078429,  1.70623565,  0.        ],\n",
       "        [-1.16029346,  2.012362  ,  4.02206421,  0.        ],\n",
       "        [ 0.        ,  0.        ,  0.        ,  0.        ]],\n",
       "\n",
       "       [[ 0.41865557,  1.60363352, -0.56923842,  0.        ],\n",
       "        [ 0.06950195,  0.79105824,  2.0322361 ,  0.        ],\n",
       "        [ 0.05688119,  2.52811217,  3.91394544,  0.        ],\n",
       "        [ 0.        ,  0.        ,  0.        ,  0.        ]],\n",
       "\n",
       "       [[-1.24031985,  2.3477006 , -0.67482847,  0.        ],\n",
       "        [ 1.22933233,  1.39499295,  2.17524433,  0.        ],\n",
       "        [ 0.18559125,  2.40421987,  4.56326485,  0.        ],\n",
       "        [ 0.        ,  0.        ,  0.        ,  0.        ]],\n",
       "\n",
       "       [[-0.43785933, -0.05061727,  0.28988785,  0.        ],\n",
       "        [-0.90204114,  0.88527524,  2.34751844,  0.        ],\n",
       "        [ 0.3241719 ,  0.79971647,  4.13229847,  0.        ],\n",
       "        [ 0.        ,  0.        ,  0.        ,  0.        ]],\n",
       "\n",
       "       [[-0.98912323,  0.97513503,  1.03762376,  0.        ],\n",
       "        [-0.96955669, -0.05892833,  3.02420664,  0.        ],\n",
       "        [ 1.10181248,  3.31268907,  6.04244947,  0.        ],\n",
       "        [ 0.        ,  0.        ,  0.        ,  0.        ]],\n",
       "\n",
       "       [[ 1.1283927 ,  1.20095801,  0.7379719 ,  0.        ],\n",
       "        [ 0.32370013,  1.08198583,  2.96736264,  0.        ],\n",
       "        [ 1.19329214,  2.01726198,  3.93975949,  0.        ],\n",
       "        [ 0.        ,  0.        ,  0.        ,  0.        ]]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fixed-width matrices are multidimensional arrays,\n",
    "\n",
    "tree.array(\"fMatrix[4][4]\", entrystop=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([(1.1, 1,  97), (2.2, 2,  98), (3.3, 3,  99), (4. , 4, 100),\n",
       "       (5.5, 5, 101)], dtype=[('x', '<f8'), ('y', '<i4'), ('z', 'i1')])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# branches with multiple leaves (\"leaf-list\") are Numpy record arrays,\n",
    "\n",
    "uproot.open(\"http://scikit-hep.org/uproot/examples/\"\n",
    "                                    \"leaflist.root\")[\"tree\"][\"leaflist\"].array()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JaggedArray [[4.5 4.5 4.5 ... 4.5 4.5 4.5] [4.5 4.5 4.5 ... 4.5 4.5 4.5] [8.90625 8.90625 8.90625 ... 8.90625 8.90625 8.90625] [8.90625 8.90625 8.90625 ... 8.90625 8.90625 8.90625] [8.90625 8.90625 8.90625 ... 8.90625 8.90625 8.90625] [4.5 4.5 4.5 ... 4.5 4.5 4.5]] at 0x7ba301155358>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# and anything in variable-length lists is a JaggedArray,\n",
    "\n",
    "tree.array(\"fTracks.fMass2\", entrystop=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JaggedArray [[[8.783523 17.513435 29.286354] [12.712547 18.882881 32.797363] [11.507339 19.916798 30.246092] ... [10.574707 18.890305 33.728233] [12.15555 18.71774 27.312075] [9.859776 19.74885 29.493528]] [[11.219862 21.20887 30.624903] [11.040182 24.79719 31.77871] [10.012672 20.93199 30.9403] ... [11.168169 23.217058 32.748943] [9.50235 21.121288 31.071629] [10.8550205 16.183943 26.904243]] [[8.624067 18.600851 26.04787] [10.689135 20.227545 29.83834] [11.296425 21.689695 27.481518] ... [10.669026 17.53861 27.396368] [10.695017 21.800402 29.768854] [9.190737 19.556316 30.239576]] [[10.730627 21.374237 29.189438] [10.917027 17.502947 24.684587] [10.719291 15.140461 30.947819] ... [11.342936 21.652617 30.104565] [10.155848 19.01908 31.161093] [9.246191 18.550188 29.727875]] [[11.012184 18.038168 25.433424] [9.5870495 19.802078 30.07635] [10.900804 19.059767 28.11974] ... [10.958439 19.644995 24.516222] [9.493415 19.871706 30.69776] [9.26706 21.658216 36.870094]] [[10.6818 23.174397 32.048332] [9.386814 19.217764 30.706171] [11.497931 16.519543 29.432865] ... [11.120119 20.196941 29.856403] [12.256461 21.39977 27.87131] [10.704875 20.647184 29.791487]]] at 0x7ba3011e3a20>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# even if it's fixed-width within jagged or whatever.\n",
    "\n",
    "tree.array(\"fTracks.fTArray[3]\", entrystop=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<ObjectArray [<b'TH1F' b'hstat' 0x7ba301196a48> <b'TH1F' b'hstat' 0x7ba301196c28> <b'TH1F' b'hstat' 0x7ba301196d68> <b'TH1F' b'hstat' 0x7ba301196a48> <b'TH1F' b'hstat' 0x7ba301196c28> <b'TH1F' b'hstat' 0x7ba301196d68>] at 0x7ba3011f6ba8>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# There are some types that ROOT does not split because they are too complex.\n",
    "# For example, *histograms* inside a TTree:\n",
    "\n",
    "tree.array(\"fH\", entrystop=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b'Event Histogram'\n",
      "[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0.]\n",
      "b'Event Histogram'\n",
      "[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.\n",
      " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0.]\n",
      "b'Event Histogram'\n",
      "[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.\n",
      " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
      " 0. 0. 0. 0.]\n",
      "\n",
      "...\n",
      "\n",
      "b'Event Histogram'\n",
      "[14. 18. 14. 11. 15. 13. 12. 13.  8.  8.  9. 10. 10.  7.  7. 10.  8. 12.\n",
      "  6.  8.  7.  9. 10. 12. 10. 11. 10. 10. 10.  8. 14. 13.  9.  7. 12. 10.\n",
      "  7.  6.  9. 13. 11.  8. 10.  9.  7.  4.  7. 10.  8.  8.  9.  9.  7. 12.\n",
      " 11.  9. 10.  7. 10. 13. 13. 11.  9.  9.  8.  8. 10. 12.  7.  5.  9. 10.\n",
      " 12. 13. 10. 14. 10. 10.  8. 12. 12. 11. 16. 12.  8. 12.  7.  9.  8.  7.\n",
      " 10.  7. 11. 11.  8. 13.  9.  8. 14. 16.]\n",
      "b'Event Histogram'\n",
      "[14. 18. 14. 11. 15. 13. 12. 13.  8.  8.  9. 10. 10.  7.  8. 10.  8. 12.\n",
      "  6.  8.  7.  9. 10. 12. 10. 11. 10. 10. 10.  8. 14. 13.  9.  7. 12. 10.\n",
      "  7.  6.  9. 13. 11.  8. 10.  9.  7.  4.  7. 10.  8.  8.  9.  9.  7. 12.\n",
      " 11.  9. 10.  7. 10. 13. 13. 11.  9.  9.  8.  8. 10. 12.  7.  5.  9. 10.\n",
      " 12. 13. 10. 14. 10. 10.  8. 12. 12. 11. 16. 12.  8. 12.  7.  9.  8.  7.\n",
      " 10.  7. 11. 11.  8. 13.  9.  8. 14. 16.]\n",
      "b'Event Histogram'\n",
      "[14. 18. 14. 11. 15. 13. 12. 13.  8.  8.  9. 10. 10.  7.  8. 10.  8. 12.\n",
      "  6.  8.  7.  9. 10. 12. 10. 11. 10. 10. 10.  8. 14. 13.  9.  7. 12. 10.\n",
      "  7.  6.  9. 13. 11.  8. 10.  9.  7.  4.  7. 10.  8.  8.  9.  9.  7. 12.\n",
      " 11.  9. 10.  7. 10. 13. 13. 11.  9.  9.  8.  8. 10. 12.  7.  5.  9. 10.\n",
      " 12. 13. 10. 14. 10. 10.  8. 12. 12. 11. 16. 12.  8. 12.  7.  9.  9.  7.\n",
      " 10.  7. 11. 11.  8. 13.  9.  8. 14. 16.]\n"
     ]
    }
   ],
   "source": [
    "# Uproot can read objects like this because ROOT describes their layout in\n",
    "# \"streamers;\" uproot reads the (most common types of) streamers and generates\n",
    "# Python classes, some of which have specialized, high-level methods.\n",
    "\n",
    "for histogram in tree.array(\"fH\", entrystop=3):\n",
    "    print(histogram.title)\n",
    "    print(histogram.values)\n",
    "print(\"\\n...\\n\")\n",
    "for histogram in tree.array(\"fH\", entrystart=-3):\n",
    "    print(histogram.title)\n",
    "    print(histogram.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br><br><br><br>\n",
    "\n",
    "### Histograms\n",
    "\n",
    "<br><br><br><br><br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([2.000e+00, 3.000e+00, 1.000e+00, 1.000e+00, 2.000e+00, 4.000e+00,\n",
       "        6.000e+00, 1.200e+01, 8.000e+00, 9.000e+00, 1.500e+01, 1.500e+01,\n",
       "        3.100e+01, 3.500e+01, 4.000e+01, 6.400e+01, 6.400e+01, 8.100e+01,\n",
       "        1.080e+02, 1.240e+02, 1.560e+02, 1.650e+02, 2.090e+02, 2.620e+02,\n",
       "        2.970e+02, 3.920e+02, 4.320e+02, 4.660e+02, 5.210e+02, 6.040e+02,\n",
       "        6.570e+02, 7.880e+02, 9.030e+02, 1.079e+03, 1.135e+03, 1.160e+03,\n",
       "        1.383e+03, 1.458e+03, 1.612e+03, 1.770e+03, 1.868e+03, 1.861e+03,\n",
       "        1.946e+03, 2.114e+03, 2.175e+03, 2.207e+03, 2.273e+03, 2.276e+03,\n",
       "        2.329e+03, 2.325e+03, 2.381e+03, 2.417e+03, 2.364e+03, 2.284e+03,\n",
       "        2.188e+03, 2.164e+03, 2.130e+03, 1.940e+03, 1.859e+03, 1.763e+03,\n",
       "        1.700e+03, 1.611e+03, 1.459e+03, 1.390e+03, 1.237e+03, 1.083e+03,\n",
       "        1.046e+03, 8.880e+02, 7.520e+02, 7.420e+02, 6.730e+02, 5.550e+02,\n",
       "        5.330e+02, 3.660e+02, 3.780e+02, 2.720e+02, 2.560e+02, 2.000e+02,\n",
       "        1.740e+02, 1.320e+02, 1.180e+02, 1.000e+02, 8.900e+01, 8.600e+01,\n",
       "        3.900e+01, 3.700e+01, 2.500e+01, 2.300e+01, 2.000e+01, 1.600e+01,\n",
       "        1.400e+01, 9.000e+00, 1.300e+01, 8.000e+00, 2.000e+00, 2.000e+00,\n",
       "        6.000e+00, 1.000e+00, 0.000e+00, 1.000e+00], dtype=float32),\n",
       " array([-4.  , -3.92, -3.84, -3.76, -3.68, -3.6 , -3.52, -3.44, -3.36,\n",
       "        -3.28, -3.2 , -3.12, -3.04, -2.96, -2.88, -2.8 , -2.72, -2.64,\n",
       "        -2.56, -2.48, -2.4 , -2.32, -2.24, -2.16, -2.08, -2.  , -1.92,\n",
       "        -1.84, -1.76, -1.68, -1.6 , -1.52, -1.44, -1.36, -1.28, -1.2 ,\n",
       "        -1.12, -1.04, -0.96, -0.88, -0.8 , -0.72, -0.64, -0.56, -0.48,\n",
       "        -0.4 , -0.32, -0.24, -0.16, -0.08,  0.  ,  0.08,  0.16,  0.24,\n",
       "         0.32,  0.4 ,  0.48,  0.56,  0.64,  0.72,  0.8 ,  0.88,  0.96,\n",
       "         1.04,  1.12,  1.2 ,  1.28,  1.36,  1.44,  1.52,  1.6 ,  1.68,\n",
       "         1.76,  1.84,  1.92,  2.  ,  2.08,  2.16,  2.24,  2.32,  2.4 ,\n",
       "         2.48,  2.56,  2.64,  2.72,  2.8 ,  2.88,  2.96,  3.04,  3.12,\n",
       "         3.2 ,  3.28,  3.36,  3.44,  3.52,  3.6 ,  3.68,  3.76,  3.84,\n",
       "         3.92,  4.  ]))"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# As we've seen, histograms have some convenience methods.\n",
    "# They're mostly for conversion to other formats, like Numpy.\n",
    "# \n",
    "# Numpy \"histograms\" are a 2-tuple of counts and edges.\n",
    "\n",
    "uproot.open(\"http://scikit-hep.org/uproot/examples/\"\n",
    "                                        \"hepdata-example.root\")[\"hpx\"].numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        ...,\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.]], dtype=float32),\n",
       " [(array([-4. , -3.8, -3.6, -3.4, -3.2, -3. , -2.8, -2.6, -2.4, -2.2, -2. ,\n",
       "          -1.8, -1.6, -1.4, -1.2, -1. , -0.8, -0.6, -0.4, -0.2,  0. ,  0.2,\n",
       "           0.4,  0.6,  0.8,  1. ,  1.2,  1.4,  1.6,  1.8,  2. ,  2.2,  2.4,\n",
       "           2.6,  2.8,  3. ,  3.2,  3.4,  3.6,  3.8,  4. ]),\n",
       "   array([-4. , -3.8, -3.6, -3.4, -3.2, -3. , -2.8, -2.6, -2.4, -2.2, -2. ,\n",
       "          -1.8, -1.6, -1.4, -1.2, -1. , -0.8, -0.6, -0.4, -0.2,  0. ,  0.2,\n",
       "           0.4,  0.6,  0.8,  1. ,  1.2,  1.4,  1.6,  1.8,  2. ,  2.2,  2.4,\n",
       "           2.6,  2.8,  3. ,  3.2,  3.4,  3.6,  3.8,  4. ]))])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Similarly for 2-dimensional histograms.\n",
    "\n",
    "uproot.open(\"http://scikit-hep.org/uproot/examples/hepdata-example.root\")[\"hpxpy\"].numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>variance</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Real-Time to write versus time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>[-inf, 0.0)</th>\n",
       "      <td>0.021839</td>\n",
       "      <td>0.000477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[0.0, 1.0)</th>\n",
       "      <td>0.333522</td>\n",
       "      <td>0.111237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[1.0, 2.0)</th>\n",
       "      <td>0.304030</td>\n",
       "      <td>0.092434</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[2.0, 3.0)</th>\n",
       "      <td>0.324519</td>\n",
       "      <td>0.105313</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[3.0, 4.0)</th>\n",
       "      <td>0.350973</td>\n",
       "      <td>0.123182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[4.0, 5.0)</th>\n",
       "      <td>0.368942</td>\n",
       "      <td>0.136118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[5.0, 6.0)</th>\n",
       "      <td>0.307283</td>\n",
       "      <td>0.094423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[6.0, 7.0)</th>\n",
       "      <td>0.306812</td>\n",
       "      <td>0.094134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[7.0, 8.0)</th>\n",
       "      <td>0.341563</td>\n",
       "      <td>0.116665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>[8.0, 9.0)</th>\n",
       "      <td>0.161508</td>\n",
       "      <td>0.026085</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   count  variance\n",
       "Real-Time to write versus time                    \n",
       "[-inf, 0.0)                     0.021839  0.000477\n",
       "[0.0, 1.0)                      0.333522  0.111237\n",
       "[1.0, 2.0)                      0.304030  0.092434\n",
       "[2.0, 3.0)                      0.324519  0.105313\n",
       "[3.0, 4.0)                      0.350973  0.123182\n",
       "[4.0, 5.0)                      0.368942  0.136118\n",
       "[5.0, 6.0)                      0.307283  0.094423\n",
       "[6.0, 7.0)                      0.306812  0.094134\n",
       "[7.0, 8.0)                      0.341563  0.116665\n",
       "[8.0, 9.0)                      0.161508  0.026085"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# It can also be useful to turn histograms into Pandas DataFrames (note the IntervalIndex).\n",
    "\n",
    "uproot.open(\"http://scikit-hep.org/uproot/examples/Event.root\")[\"htime\"].pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dependent_variables:\n",
      "- header:\n",
      "    name: counts\n",
      "    units: null\n",
      "  qualifiers: []\n",
      "  values:\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.33352208137512207\n",
      "    value: 0.33352208137512207\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.3040299415588379\n",
      "    value: 0.3040299415588379\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.32451915740966797\n",
      "    value: 0.32451915740966797\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.35097289085388184\n",
      "    value: 0.35097289085388184\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.3689420223236084\n",
      "    value: 0.3689420223236084\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.3072829246520996\n",
      "    value: 0.3072829246520996\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.306812047958374\n",
      "    value: 0.306812047958374\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.34156298637390137\n",
      "    value: 0.34156298637390137\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.16150808334350586\n",
      "    value: 0.16150808334350586\n",
      "  - errors:\n",
      "    - label: stat\n",
      "      symerror: 0.0\n",
      "    value: 0.0\n",
      "independent_variables:\n",
      "- header:\n",
      "    name: Real-Time to write versus time\n",
      "    units: null\n",
      "  values:\n",
      "  - high: 1.0\n",
      "    low: 0.0\n",
      "  - high: 2.0\n",
      "    low: 1.0\n",
      "  - high: 3.0\n",
      "    low: 2.0\n",
      "  - high: 4.0\n",
      "    low: 3.0\n",
      "  - high: 5.0\n",
      "    low: 4.0\n",
      "  - high: 6.0\n",
      "    low: 5.0\n",
      "  - high: 7.0\n",
      "    low: 6.0\n",
      "  - high: 8.0\n",
      "    low: 7.0\n",
      "  - high: 9.0\n",
      "    low: 8.0\n",
      "  - high: 10.0\n",
      "    low: 9.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Or HEPData's YAML format. As Python objects, it's just a little work to make different formats.\n",
    "\n",
    "print(uproot.open(\"http://scikit-hep.org/uproot/examples/Event.root\")[\"htime\"].hepdata())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br><br><br><br>\n",
    "\n",
    "### Writing to ROOT files\n",
    "\n",
    "<br><br><br><br><br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# At the moment, only two kinds of objects can be *written* to ROOT files:\n",
    "# TObjString and histograms.\n",
    "# \n",
    "# To write, open a file for writing (create/recreate/update) and assign to it\n",
    "# like a dict:\n",
    "\n",
    "file = uproot.recreate(\"tmp.root\", compression=uproot.ZLIB(4))\n",
    "file[\"name\"] = \"Some object, like a TObjString.\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to JupyROOT 6.18/00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "'Some object, like a TObjString.'"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import ROOT\n",
    "\n",
    "pyroot_file = ROOT.TFile(\"tmp.root\")\n",
    "pyroot_file.Get(\"name\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# During assignment, uproot recognizes Pythonic types, such as Numpy histograms.\n",
    "\n",
    "file[\"from_numpy\"] = numpy.histogram(numpy.random.normal(0, 1, 10000))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyroot_file = ROOT.TFile(\"tmp.root\")           # refresh the PyROOT file\n",
    "pyroot_hist = pyroot_file.Get(\"from_numpy\")\n",
    "\n",
    "canvas = ROOT.TCanvas(\"canvas\", \"\", 400, 300)\n",
    "pyroot_hist.Draw(\"hist\")\n",
    "canvas.Draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2-dimensional Numpy histograms.\n",
    "\n",
    "file[\"from_numpy2d\"] = numpy.histogram2d(numpy.random.normal(0, 1, 10000), numpy.random.normal(0, 1, 10000))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyroot_file = ROOT.TFile(\"tmp.root\")           # refresh the PyROOT file\n",
    "pyroot_hist = pyroot_file.Get(\"from_numpy2d\")\n",
    "\n",
    "pyroot_hist.Draw()\n",
    "canvas.Draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br><br><br><br><br>\n",
    "\n",
    "<p style=\"font-size: 1.25em\">Coming soon: writing simple TTrees to ROOT files.</p>\n",
    "\n",
    "<br><br><br><br><br>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}