{"cells":[{"cell_type":"markdown","metadata":{"id":"mfCAo2t7wCnb"},"source":[" 📗 Introduction à la recherche textuelle (partie 1)"]},{"cell_type":"markdown","metadata":{"id":"QepPJFQjv-vq"},"source":["## 1. Comment chercher un \"mot\" dans un texte ?"]},{"cell_type":"markdown","metadata":{"id":"Vw_CRUwAv-vr"},"source":["On sait déjà chercher un **caractère** dans une chaîne de caractères. \n","Par exemple : écrivez ci-dessous une fonction trouve_lettre(c, texte) qui renvoie le premier indice où l'on a trouvé la lettre `c` dans la chaîne de caractères `texte`, et qui renvoie `None` si la lettre cherchée ne s'y trouve pas."]},{"cell_type":"markdown","metadata":{"id":"DAJD2K3tFKis"},"source":["### 💻 A vous de jouer 1"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"cEBeCRPsv-vs","trusted":true},"outputs":[],"source":["def trouve_lettre(c, texte):\n"," \"\"\"renvoie l'indice de la première occurrence de c dans texte\n"," ou renvoie None par convention sinon\"\"\"\n","\n"," ...\n","\n","assert trouve_lettre('j', 'bonjour') == 3\n","assert trouve_lettre('j', 'alphabet') is None\n"]},{"cell_type":"markdown","metadata":{"id":"KkG3s-vsv-vu"},"source":["Le problème est plus difficile quand il faut chercher non plus un seul caractère mais un **mot** dans le texte.\n","\n","#### Vocabulaire : \n","- on ne parlera pas de 'mot' mais de **motif**, ce qui est plus général.\n","- quand on trouve le motif cherché à un endroit du texte, on dira qu'il s'agit d'une **occurrence** du motif dans le texte : cela désignera l'indice `i` tel que texte[i:i+1] == motif\n","\n","Rappel : la notation chaine[i:j] désigne la *tranche* de la chaîne comprise entre `i` inclus et `j` exclu. On parle de *slicing*.\n"]},{"cell_type":"markdown","metadata":{"id":"I6aGzbVnEJOZ"},"source":["![image.png](data:image/png;base64,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)"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"9M1nEJLKv-vu","outputId":"a77acccb-8895-4289-c5a8-9214a2aefedd","trusted":true},"outputs":[],"source":["# Exemple\n","texte = \"Cher monsieur Gaboriot, bonjour, votre abonnement est fini\"\n","motif = \"bo\"\n","print(texte[16: 18])\n","# Une occurrence du motif cherché est donc 16\n","# Il y en a d'autres..."]},{"cell_type":"markdown","metadata":{"id":"WJPwH1JSv-vx"},"source":["### 1.1. La fonction `find` de Python\n","\n","Python dispose d'une méthode find() attachée aux objets chaînes de caractère qui permet justement de trouver un motif dans la chaîne"]},{"cell_type":"markdown","metadata":{"id":"S0LrsfWcv-vy"},"source":["Pour corser un peu l'affaire, on peut prendre un texte très long. Typiquement, on peut chercher un mot ou une phrase dans tout le texte d’un roman.\n","\n","Le site http://www.gutenberg.org/browse/languages/fr propose les grands classiques de la littérature qui sont\n","tombés dans le domaine public. On peut par exemple y trouver le texte intégral du roman Le rouge et le noir de Stendhal dans\n","l’encodage UTF-8 : http://www.gutenberg.org/ebooks/798.txt.utf-8\n","\n","\n","### 💻 A vous de jouer 2 \n","Télécharger ce roman sur votre ordinateur, vérifiez l'encodage, puis ouvrir ce fichier texte avec Python et charger l'intégralité du fichier texte dans une variable nommée stendhal"]},{"cell_type":"markdown","metadata":{"id":"LfwiqSuaF00H"},"source":["Pour lire ce fichier vous pourrez trouver de la documentation ici : [python doctor](https://python.doctor/page-lire-ecrire-creer-fichier-python)"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"83XOKN_ev-vz","outputId":"7ceaf193-70fe-4ebd-a7f0-b2c5f9393ae4","trusted":true},"outputs":[],"source":["fichier = open('pg798.txt', 'r', encoding = 'utf-8')\n","stendhal = fichier.read()\n","fichier.close()\n","print(stendhal[0: 800])"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"_UEaQ9RIJ7gT","outputId":"1e29e09b-29d9-4035-8c59-4fb04dee4aaa","trusted":true},"outputs":[],"source":["print(len(stendhal))"]},{"cell_type":"markdown","metadata":{"id":"aQ3hw5nKv-vz"},"source":["On peut chercher ensuite si le motif 'Julien trembla' apparaît quelque part dans le roman."]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"RuIa7s3bv-vz","outputId":"e8721afb-0b42-4ab2-dd62-9490641b8398","trusted":true},"outputs":[],"source":["stendhal.find('Julien trembla')"]},{"cell_type":"markdown","metadata":{"id":"LjzhvBNov-v2"},"source":["La méthode find a renvoyé un entier correspondant à l'indice de la première occurrence du motif dans le texte. D'ailleurs, on peut vérifier en faisant afficher la suite :"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":35},"id":"ZidmRisUv-v2","outputId":"5520b903-fe8f-4b21-e28a-d0793422f0aa","trusted":true},"outputs":[],"source":["stendhal[162926: 162973]"]},{"cell_type":"markdown","metadata":{"id":"Dyn9IyAHv-v4"},"source":["La méthode `find` renvoie -1 si le motif cherché n'apparaît pas dans le texte. Par exemple stendhal.find('Joséphine') renvoie −1 : le prénom Joséphine n’apparaît jamais dans le roman.\n","\n","\n","### 💻 A vous de jouer 3 \n","\n","Une variante de la méthode `find` a deux arguments, le deuxième précise la **position de départ de la recherche**\n","\n","1. En utilisant ce deuxième argument, trouvez s'il y a une occurrence suivante du motif : 'Julien trembla' "]},{"cell_type":"markdown","metadata":{},"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"HWZw4sZ_v-v4","outputId":"154728a0-d97b-4ba7-f454-bb660d063004","trusted":true},"outputs":[],"source":["# Ecrire le test. Vous devez trouver une réponse négative.\n","..."]},{"cell_type":"markdown","metadata":{"id":"0_mZeGAqv-v5"},"source":["2. Trouvez les deux premières occurrences du mot : 'Julien' dans le roman"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"oYI9sOJFv-v5","outputId":"9b27eeb9-f07e-496d-de11-aba7fdc5358a","trusted":true},"outputs":[],"source":["occur_1 = ...\n","occur_2 = ...\n","print(\"1ere occurence : \", occur_1)\n","print(\"2eme occurence : \", occur_2)"]},{"cell_type":"markdown","metadata":{"id":"qd5PRmLDv-v5"},"source":["### 1.2. Application de la fonction `find` : compter le nombre d'occurrences"]},{"cell_type":"markdown","metadata":{"id":"TfNOZJ6qv-v6"},"source":["En utilisant la méthode `find`, il est relativement facile de compter les occurrences d'un motif dans un texte. \n","\n","### 💻 A vous de jouer 4 \n","\n","1. Complétez ci-dessous le code de la fonction nb_occurrences(texte, motif).\n","\n","2. Trouvez combien de fois le mot \"mort\" apparaît dans le roman."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"zHZaqdzHSq7y","trusted":true},"outputs":[],"source":["def nb_occurrences(texte, motif):\n"," \"\"\"renvoie le nombre de fois où motif apparaît dans texte \"\"\" \n"," \n"," ...\n","\n"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"cx-j_bJKbUhQ","trusted":true},"outputs":[],"source":["# Quelques tests\n","assert nb_occurrences('bonjour monsieur gaboriot votre abonnement est fini', 'bo') == 3\n","assert nb_occurrences(stendhal, 'Julien') == 1908 \n","assert nb_occurrences(stendhal, 'amour') == 225\n","assert nb_occurrences(stendhal, 'informatique') == 0"]},{"cell_type":"markdown","metadata":{"id":"VRXNpMUdRRJN"},"source":["Autre réponse possible avec une fonction récursive."]},{"cell_type":"code","execution_count":null,"metadata":{"id":"JkuNiiyeDHx_","trusted":true},"outputs":[],"source":["import sys\n","sys.setrecursionlimit(2000)\n","\n","def nb_occurrences_rec(texte, motif, i=0):\n"," occurence = texte.find(motif, i)\n"," if occurence == -1 :\n"," ...\n"," else :\n"," ...\n","\n"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"kVpSCL3cE0zu","trusted":true},"outputs":[],"source":["# Quelques tests\n","assert nb_occurrences_rec('bonjour monsieur gaboriot votre abonnement est fini', 'bo') == 3\n","assert nb_occurrences_rec(stendhal, 'Julien') == 1908\n","assert nb_occurrences_rec(stendhal, 'amour') ==225\n","assert nb_occurrences_rec(stendhal, 'informatique') == 0"]},{"cell_type":"markdown","metadata":{"id":"Wcn9EB6RLdrT"},"source":["---\n","Auteur : Marine Méra - Modification par François Hallé, Jean-Louis Thirot (Lycée Bertrand d'Argentré) et Mireille Coilhac (lycée Saint-Aspais à Melun)\n","\n","\n","\"Creative
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.\n","\n","\n","---"]}],"metadata":{"colab":{"collapsed_sections":[],"name":"BoyerMoore1_corrigé.ipynb","provenance":[]},"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":"3.7.6"}},"nbformat":4,"nbformat_minor":2}