{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TP - Telemetre \n",
    "\n",
    "\n",
    "À l'aide du système émetteur-récepteur ultrasons, on a réalisé l'acquisition d'un ensemble de mesure correspondant à la distance entre l'émetteur et l'obstacle. On souhaite réaliser ici l'affichage de l'histogramme ainsi qu'un calcul d'incertitude sur la mesure de la distance objet écran.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "f = open(\"listetemps.csv\") # on oouvre le fichier avec les résultats\n",
    "sep=\";\" # données séparées par un ; dans tableau1\n",
    "data=f.readlines() #on lit toutes les lignes \n",
    "f.close() #on referme le fichier\n",
    "\n",
    "\n",
    "t1=[]\n",
    "\n",
    "for ligne in data: \n",
    "    ligne=ligne.strip().split(sep) #on sépare les différents éléments\n",
    "    ligne=list(map(float,ligne)) #on convertit chaque élément en flottant\n",
    "    t1.append(ligne[0]) #on rentre les valeurs dans les lites adaptées\n",
    "\n",
    "N1=len(t1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut alors afficher l'histogramme correspondant aux mesures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b2820f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(t1,bins = 'rice')  # La commande 'rice' permet d'optimiser les intervalles d'affichage de l'histogramme\n",
    "plt.title('Mesures de temps')\n",
    "plt.xlabel('t (micros)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut alors en déduire la valeur moyenne et l'incertitude type sur la mesure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moyenne = 9717.0 micros\n",
      "Ecart type = 53.4 micros\n"
     ]
    }
   ],
   "source": [
    "moy=np.mean(t1)\n",
    "ecartType=np.std(t1)\n",
    "\n",
    "print(\"Moyenne = {:.1f} micros\".format(moy))\n",
    "print(\"Ecart type = {:.1f} micros\".format(ecartType))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "On peut ensuite calculer la longueur entre le système et l'obstacle ainsi que l'incertitude type associée."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance=1666.5 mm\n",
      "Incertitude type=17.2 mm\n"
     ]
    }
   ],
   "source": [
    "t_mes=moy\n",
    "ut_mes=ecartType\n",
    "\n",
    "cson=343/1000 #en mm/micros\n",
    "ucson=3/1000\n",
    "\n",
    "d=cson*t_mes/2\n",
    "ud=d*np.sqrt((ucson/cson)**2+(ut_mes/t_mes)**2)\n",
    "\n",
    "print(\"Distance={:.1f} mm\".format(d))\n",
    "print(\"Incertitude type={:.1f} mm\".format(ud))\n",
    "      "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "165px"
   },
   "toc_section_display": true,
   "toc_window_display": true
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 },
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 "nbformat_minor": 2
}