Cryptographie_ROT13.ipynb

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  "metadata": {
    "colab": {
      "name": "Cryptographie - ROT13.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyMJseB3mybBFLuL86K3QGw6",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
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      "source": [
        "<a href=\"https://colab.research.google.com/github/GeoLabUniLaSalle/Python/blob/main/Cryptographie_ROT13.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HmJ9iUVzJdoW"
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      "source": [
        "# **ROT13**\n",
        "\n",
        "Dans ce chapitre, nous allons introduire la notion de **cryptograhie** et découvrir quelques algorithmes de **chiffrement faible** (faciles à déchiffrer).\n",
        "\n",
        "Le chiffrement est un procédé de cryptographie qui consiste à rendre un document illisible à toute personne ne possédant pas la **clé** de déchiffrement.\n",
        "\n",
        "Ici, nous allons découvrir le fonctionnement de l'**algorithme** **ROT13** (*rotate by 13 places*). Cet algorithme consiste à décaler de 13 caractères chaque lettre du texte à chiffrer, et si l'on atteind la dernière lettre ('z'), on repdrend au début ('a').\n",
        "\n",
        "![ROT13.png](data:image/png;base64,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)\n",
        "\n",
        "Cette procédure sert à **coder** et à **décoder** un texte. En effet, puisqu'il y a 26 lettres dans l'alphabet, il suffit d'appliquer le codage ROT13 sur un texte codé pour le décoder.\n",
        "\n",
        "Commençons par importer les modules nécessaires."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KS9nQPXNKWgd",
        "outputId": "a0ca8ade-66ea-4574-8a91-d651f088d650"
      },
      "source": [
        "from string import ascii_lowercase, ascii_uppercase\n",
        "print(ascii_lowercase)\n",
        "print(ascii_uppercase)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "abcdefghijklmnopqrstuvwxyz\n",
            "ABCDEFGHIJKLMNOPQRSTUVWXYZ\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "K-kGszTDLEfc"
      },
      "source": [
        "En cas d'erreur sur ce bloc d'instructions, lancez l'installation du module string, redémarrez le noyau, puis re-exécutez la dernière cellule de code."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pgRmrp09KUSi"
      },
      "source": [
        "import sys  \n",
        "!{sys.executable} -m pip install --user string"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EyD4bdDX0644"
      },
      "source": [
        "Voyons maintenant comment décaler une lettre de 13 caractères.\n",
        "\n",
        "Observons la position d'une lettre dans l'alphabet :\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "f0ndL3uX01xC",
        "outputId": "e8e30052-de55-45fc-d3d2-04d1a0247391"
      },
      "source": [
        "lettre = 'a'\n",
        "print(ascii_lowercase.index(lettre))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BVMZBsCp06ij",
        "outputId": "37b62683-4d1e-4bed-95af-c665dc3738eb"
      },
      "source": [
        "lettre = 'k'\n",
        "print(ascii_lowercase.index(lettre))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "10\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Pwd_GHQi1tdk",
        "outputId": "8bef3177-667e-4191-b245-3cc8d4b6fb9c"
      },
      "source": [
        "lettre = 'R'\n",
        "print(ascii_uppercase.index(lettre))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "17\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iHTPTWHS1z0S"
      },
      "source": [
        "Ajoutons 13 à cet indice."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uP6Us4QJ12AZ",
        "outputId": "1058eb3d-9da8-4a34-e11a-e8c0cbf1ed64"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "lettre = 'j'\n",
        "indice = lower.index(lettre)\n",
        "print(lower[indice + 13])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "w\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 198
        },
        "id": "VdMKaKUw2F6T",
        "outputId": "a8e5b68b-1638-4b48-ae53-2d908b8202b9"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "lettre = 'x'\n",
        "indice = lower.index(lettre)\n",
        "print(lower[indice + 13])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "error",
          "ename": "IndexError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-18-0875318c3229>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0mlettre\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'x'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0mindice\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlower\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlettre\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlower\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mindice\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m13\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m: string index out of range"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zNmacaX_2JsD"
      },
      "source": [
        "Nous observons que si l'indice dépasse 25 (caractère 'z'), nous obtenons un message d'erreur. Nous utilisons le modulo pour éviter ce problème :"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uUIIkvuj2UvA",
        "outputId": "e4dce7ee-77a5-4c3d-e541-bc38b7ae72cd"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "lettre = 'x'\n",
        "indice = lower.index(lettre)\n",
        "print(lower[(indice + 13)%26])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "k\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "F9Elg6ID2dmr"
      },
      "source": [
        "Nous allons maintenant faire fonctionner cela quelque soit le caractère choisi (minuscule, majuscule, chiffre ou ponctuation) :"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TliH63312sVF",
        "outputId": "7456aba1-4b5d-4c73-81a8-991e515eeed1"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "upper = ascii_uppercase\n",
        "lettre = 'x'\n",
        "if lettre in lower:\n",
        "  indice = lower.index(lettre)\n",
        "  print(lower[(indice + 13)%26])\n",
        "elif lettre in upper:\n",
        "  indice = upper.index(lettre)\n",
        "  print(upper[(indice + 13)%26])\n",
        "else:\n",
        "  print(lettre)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "k\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SHay7pg33Dc9",
        "outputId": "c7052c53-f32a-4de5-a9b2-7b0baeee3220"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "upper = ascii_uppercase\n",
        "lettre = 'D'\n",
        "if lettre in lower:\n",
        "  indice = lower.index(lettre)\n",
        "  print(lower[(indice + 13)%26])\n",
        "elif lettre in upper:\n",
        "  indice = upper.index(lettre)\n",
        "  print(upper[(indice + 13)%26])\n",
        "else:\n",
        "  print(lettre)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Q\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "WmzFwjKg3LhL",
        "outputId": "a20eb5bc-1d98-4cfe-9997-3a70a5c97081"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "upper = ascii_uppercase\n",
        "lettre = '7'\n",
        "if lettre in lower:\n",
        "  indice = lower.index(lettre)\n",
        "  print(lower[(indice + 13)%26])\n",
        "elif lettre in upper:\n",
        "  indice = upper.index(lettre)\n",
        "  print(upper[(indice + 13)%26])\n",
        "else:\n",
        "  print(lettre)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "7\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nMuwUXye3FYw",
        "outputId": "c35bd1a1-761e-4a58-add5-9f7e0e091824"
      },
      "source": [
        "lower = ascii_lowercase\n",
        "upper = ascii_uppercase\n",
        "lettre = '!'\n",
        "if lettre in lower:\n",
        "  indice = lower.index(lettre)\n",
        "  print(lower[(indice + 13)%26])\n",
        "elif lettre in upper:\n",
        "  indice = upper.index(lettre)\n",
        "  print(upper[(indice + 13)%26])\n",
        "else:\n",
        "  print(lettre)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "!\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dvzxX53UMZyf"
      },
      "source": [
        "Réalisons maintenant la fonction *ROT13* qui fonctionn avec n'importe quel *str* :"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Qv6-PeGbMYMZ"
      },
      "source": [
        "def ROT13(x):\n",
        "  \"\"\"\n",
        "  Retourne x chiffré avec ROT13\n",
        "  \"\"\"\n",
        "  lower = ascii_lowercase\n",
        "  upper = ascii_uppercase\n",
        "  code=\"\"\n",
        "  for i in x:\n",
        "    if i in lower:\n",
        "      code += lower[(lower.index(i)+13)%26]\n",
        "    elif i in upper:\n",
        "      code += upper[(upper.index(i)+13)%26]\n",
        "    else:\n",
        "      code += i\n",
        "  return code"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xvpzwDPN3byO"
      },
      "source": [
        "Nous allons maintenant coder le texte 'Bonjour !' :"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xWGsRjExJK_j",
        "outputId": "69407d7e-b6bf-458c-9f3f-cf274708f3ae"
      },
      "source": [
        "code = ROT13('Bonjour !')\n",
        "print(code)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Obawbhe !\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zIh3EYOQ3aeO"
      },
      "source": [
        "Pour décoder ce texte, il suffit de lui appliquer à nouveau la fonction *ROT13* :"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "JgN-EJFwNH0O",
        "outputId": "75ee1df2-7728-4627-c1f8-f0865121314a"
      },
      "source": [
        "decode = ROT13(code)\n",
        "print(decode)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Bonjour !\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}