{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### This script shows how to use the existing code in opengrid to create a water consumption benchmark. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import sys\n",
    "import inspect\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import tmpo\n",
    "\n",
    "from opengrid import config\n",
    "c = config.Config()\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = 16,8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    if os.path.exists(c.get('tmpo', 'data')):\n",
    "        path_to_tmpo_data = c.get('tmpo', 'data')\n",
    "except:\n",
    "    path_to_tmpo_data = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from opengrid.library.houseprint import houseprint"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### We create one dataframe containing a column for each water sensor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#hp = houseprint.Houseprint()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#hp.save('new_houseprint.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "OperationalError",
     "evalue": "database is locked",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mOperationalError\u001b[0m                          Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-5-694a69765afc>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[0mhp\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mhouseprint\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mload_houseprint_from_file\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'new_houseprint.pkl'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mhp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0minit_tmpo\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32m/mnt/data/work/opengrid/code/opengrid/opengrid/library/houseprint/houseprint.pyc\u001b[0m in \u001b[0;36minit_tmpo\u001b[1;34m(self, tmpos, path_to_tmpo_data)\u001b[0m\n\u001b[0;32m    398\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    399\u001b[0m             \u001b[1;32mfor\u001b[0m \u001b[0msensor\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mfluksosensors\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 400\u001b[1;33m                 \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tmpos\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msensor\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mkey\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0msensor\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtoken\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    401\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    402\u001b[0m         \u001b[1;32mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Using tmpo database from {}\"\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tmpos\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdb\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m/mnt/data/work/opengrid/code/tmpo-py/tmpo/__init__.pyc\u001b[0m in \u001b[0;36mwrapper\u001b[1;34m(*args, **kwargs)\u001b[0m\n\u001b[0;32m    133\u001b[0m             \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdbcur\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mexecute\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mSQL_TMPO_TABLE\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    134\u001b[0m             \u001b[1;31m# execute function\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 135\u001b[1;33m             \u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    136\u001b[0m             \u001b[1;31m# commit everything and close connection\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    137\u001b[0m             \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdbcon\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcommit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m/mnt/data/work/opengrid/code/tmpo-py/tmpo/__init__.pyc\u001b[0m in \u001b[0;36madd\u001b[1;34m(self, sid, token)\u001b[0m\n\u001b[0;32m    174\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0madd\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0msid\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtoken\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    175\u001b[0m         \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 176\u001b[1;33m             \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdbcur\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mexecute\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mSQL_SENSOR_INS\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0msid\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtoken\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    177\u001b[0m         \u001b[1;32mexcept\u001b[0m \u001b[0msqlite3\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mIntegrityError\u001b[0m\u001b[1;33m:\u001b[0m  \u001b[1;31m# sensor entry exists\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    178\u001b[0m             \u001b[1;32mpass\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mOperationalError\u001b[0m: database is locked"
     ]
    }
   ],
   "source": [
    "hp = houseprint.load_houseprint_from_file('new_houseprint.pkl')\n",
    "hp.init_tmpo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#hp.sync_tmpos()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/mnt/data/work/opengrid/code/opengrid/opengrid/library/houseprint/sensor.py:231: FutureWarning: using '+' to provide set union with datetimelike Indexes is deprecated, use .union()\n",
      "  data = data.reindex(data.index + newindex)\n"
     ]
    }
   ],
   "source": [
    "df = hp.get_data(sensortype='water')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#retain only positive values (sometimes there are meter resets)\n",
    "df = df[df > 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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3bp2aN28eWS7JurJnqlZ6Xl6etm/fXusz27ZtqzfQxerVqzVt2rRaV2XXrVunQw45pNZ8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\n+lvA3AZVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2185b75890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y+5ik6yQtk1S1TuYUNwIC4I6cnPifUYMKAACAsLGT7F4m6SBJpS7HAiAEXn1V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\nkiRJkiRJkqTwjwDIzIM4YNbDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21859d0150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IJjv32Z0nqaPbgYRVQbIbNwGAj1VUeB0BAABA5uy07LaTtEDSp5J2RqYZSee4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\nJEmSJEmSJEmSJEmSJEmSJEmSxqj/A973g7CsZupmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21858dc610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TZkkqktS21vwznA8HAAAAAABn2El4H5P0a0lLJVVGTe/hRkAAAAAAADjBTsJ7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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21857e9850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YkiRJkpQp5SyEdwamAy8ArwBX5Nt3AR4BXgX+D+hSb5+LgdeA2cARZYxNkqQs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\nmCeHfgpMvQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21856f5a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3lt57z3YUwHalpZlPxOT2RAJDNRNbtUqaNct2FOmJctLwyCMMUwcAAPaFItkt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\n/3lqvX2S5w2VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2185581cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AQDoj2UXaGzxYys62HUVw9e8vTZtmOwok2+23S4ceajsKAACQzkh2kfa2bLEd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\nTiDdXnm9fUS95WdL4OZS/3+nchmpt+4M1lxgMbEs/g74RE7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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f218548ef10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/sgEAABA+kU52Fy+Wzj/f7ygyW7cuu/nPPtudOIB05s6VzjvP+j8IJ4kAAACA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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21853a7190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot timeseries and load duration for each retained sensor\n",
    "\n",
    "for sensor in df.columns:\n",
    "    plt.figure()\n",
    "    ts = df[sensor].dropna()\n",
    "    ax1=plt.subplot(121)\n",
    "    plt.plot_date(ts.index, ts, '-', label=sensor)\n",
    "    plt.ylabel('water consumption [l/min]')\n",
    "    plt.legend()\n",
    "    \n",
    "    ax2=plt.subplot(122)\n",
    "    plt.plot(np.sort(ts)[::-1], label=sensor)\n",
    "    plt.ylabel('water JBDC [l/min]')\n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JtVDL1EItUwN1TF9pWAEAAOikaTKslyb5niQPJPlIkpclOTXJbyR5dJLDSb4r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\n/wN2R78yeZBMFgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2184549f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FAACglxSs0AF9JtRAjqmFLFMDOWaoFKwAAAD0koIVOqDPhBrIMbWQZWogxwyV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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2184f6e290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QC7VMLdQyNVDHDNW0Desnk/xsko+kNKrHUrasnpfkzuYydzbjJLkgydHW9Y8m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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2185682b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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c5EPd6eKp816S5GNJrk/ylKn9j+1u42NJXrnlEQMAAHBK2EjB+tokF83sO57k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\nk+SCJE/v/r0oyasK7h/WpO9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=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f218396cd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aZIqa5InaZIrWFKYAAAA0pTClF/RFUJtMUZtMUZM8UZtM0ZrCFAAAgKYUpvSC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\nFKYAAAA0pce0p/2fekwBAIB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2183e356d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2gm8PvmZLAKx5e/Nxn3b7Mal9f9v2+E57+XHnn+e/2+PG27b7AwBt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\n4+SjAbIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21832e4f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RR1Li7nMZxuBoPfS/ap73eOwl5QBQb0/Zt59KmT77Bc2yg802R0ckH5VygJ+7m+f2o83t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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2184bbc8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JVWm1ei+fuP/t2T508Zq03t3NtBl2/2W2XyrioWmJ4U1pyVmyNdR2NOPo67I1AdF+l8U5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\naxE1il2HOktkD06N6WqZV2L6mCQ3JHl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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2184ca0910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for sensor in df.columns:\n",
    "    plt.figure()\n",
    "    ts = df[sensor]\n",
    "    ts=ts[ts>1]\n",
    "    ts=ts[ts<30]\n",
    "    ts.hist(bins=200)\n",
    "    plt.title(hp.find_sensor(sensor).device.key + ' - ' + hp.find_sensor(sensor).description + ' - ' + sensor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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couUzgCnp/Sm0hdwZwKHAMGArYlKnWUToXU6Mn60CDgOuLXGsTxATSvWr2upa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\nvdI0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2183e7b550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XI+jognwEcAkwArgF+Eu6/WKi1XcmMavxAf1/OaU11DWwuM0wK0mSJEl50VuY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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2183c48d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JkiRJpcEwK0mSJElKHcOsJEmSJCl1DLOSJEmSpNQxzEqSJEmSUscwK0mSJElK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\nFEVRFEVRFEVRFEVRFEVRFEVRFEUZR/w/5DkEKrjm0twAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f218327a7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JkiRJK5f2A5Tjxo3r1vZdTTP+HhFONwMOBf4EHAXcCRydrnM0cHt6/850vYHp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\n/wGRkgn89Nz79QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2183ac4450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+O8m1Sd6X5FWt/a9K8p7W+fcleUXK+NrHpEzqdHVK6D2QMn52Iskrk7y36z7t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\nAfOoR5Vjm5tb+8+t/Vx33VVe9z33lM/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2183a40150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JF9vQaqVVkiRJkpIvtqE10+2aVkmSJElKutiGViutkiRJkpR8sQ2tmbRrWiVJkiQp6WIb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\nGzYYWuOg3ULrQNODIYRW17VKktReKpk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8yEyl+quttVi2LOzH+JrXDP7YUaNC5fn883e8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\nWltmPDmDLou7cO72OftXNo1zt8/RekFrXm3yarrACuBmcKN//f4cH3m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uuH9f/JseS3ow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\n/1MafebJbgl+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2183ea56d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WUgY9ODPJJ1IGTWhqp7dLUDwuLr/88vZdd610iTgAAAD61F3p/ZJpPYXc2v6U0fmemdJ6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21841a4dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JkiQpW6omzNoASpIkSZKyo2rCrJVZSZIkScoOw6wkSZIkKXWqIszma/OGWUmS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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f21840c96d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for sensor in df.columns:\n",
    "        \n",
    "    plt.figure()\n",
    "    ts = df[sensor]\n",
    "    ts=ts[ts>0.1]\n",
    "    ts=ts[ts<30]\n",
    "    \n",
    "    hst, edges = np.histogram(ts, np.arange(0,20,0.25))\n",
    "    hst_weighted = hst * edges[1:]\n",
    "    plt.plot(np.arange(0,20,0.25)[1:], hst_weighted)\n",
    "    plt.plot(np.arange(0,20,0.25)[1:], hst)\n",
    "    plt.title(hp.find_sensor(sensor).device.key + ' - ' + sensor)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "delattr(hp, '_tmpos')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
