corrections TP4

tp4-5-6/tp4/corrige-tp-python.ipynb

+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Map reduce en Python"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Exercice"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Ecrire un programme qui calcule la distance Euclidienne totale entre une série de points en 2D connectés séquentiellement l'un après l'autre.\n",
+    "\n",
+    "On vous donne une liste de points en 2D, chaque point étant représenté par un tuple (x, y).\n",
+    "\n",
+    "- Utilisez map pour calculer la distance entre chaque paire de points consécutifs.\n",
+    "- Utilisez ensuite reduce pour calculer la distance totale du trajet reliant tous les points.\n",
+    "\n",
+    "```python\n",
+    "points = [(0, 0), (3, 4), (7, 1), (10, 10)]\n",
+    "```"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "",
+     "evalue": "",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31mRunning cells with 'Python 3.12.3' requires the ipykernel package.\n",
+      "\u001b[1;31mRun the following command to install 'ipykernel' into the Python environment. \n",
+      "\u001b[1;31mCommand: '/bin/python3 -m pip install ipykernel -U --user --force-reinstall'"
+     ]
+    }
+   ],
+   "source": [
+    "from functools import reduce\n",
+    "import math\n",
+    "\n",
+    "# Liste de points\n",
+    "points = [(0, 0), (3, 4), (7, 1), (10, 10)]\n",
+    "\n",
+    "# Fonction pour calculer la distance entre deux points\n",
+    "def distance(point1, point2):\n",
+    "    return math.sqrt((point2[0] - point1[0]) ** 2 + (point2[1] - point1[1]) ** 2)\n",
+    "\n",
+    "# Utilisation de `map` pour calculer les distances entre points consécutifs\n",
+    "distances = list(map(lambda i: distance(points[i], points[i + 1]), range(len(points) - 1)))\n",
+    "\n",
+    "# Utilisation de `reduce` pour calculer la distance totale\n",
+    "total_distance = reduce(lambda x, y: x + y, distances)\n",
+    "\n",
+    "# Affichage du résultat\n",
+    "print(\"Distance totale du trajet :\", total_distance)"
+   ]
+  }
+ ],
+ "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": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}