2_Big_O_Functions__graphic_representation.ipynb

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      "name": "2 - Big-O Functions representation in graphics.ipynb",
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      "authorship_tag": "ABX9TyN7jvRqZCcwGd7tLOR7gQn3",
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      "cell_type": "markdown",
      "metadata": {
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        "colab_type": "text"
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      "source": [
        "<a href=\"https://colab.research.google.com/github/FabioFS/Time-Complexity/blob/main/2_Big_O_Functions_representation_in_graphics.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sSAyWL8bNrSZ"
      },
      "source": [
        "# Big-O Functions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QOcrzOuxObGw"
      },
      "source": [
        "*   1 Constant\n",
        "*   log(n) Logarithmic Logarithm\n",
        "*   n Linear\n",
        "*   nlog(n) Linear Log Linear\n",
        "*   n*2 Quadratic\n",
        "*   n*3 Cubic\n",
        "*   2^n Exponential\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7imUwzbhUfBj"
      },
      "source": [
        "Explanatory chart"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SXxZBcwWkrH8"
      },
      "source": [
        "Imports"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "O3MJIxDYjyLL"
      },
      "source": [
        "from math import log       # import done only to use logarithm\n",
        "import numpy as np         # import done to use of calculation, arrays\n",
        "import matplotlib.pyplot as plt   # import done only to use graphics"
      ],
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "f-033EjilL06"
      },
      "source": [
        "Functions"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ymg0m6oSky7Y"
      },
      "source": [
        "# Constant Function\n",
        "# Created array of 100 position whith values 1 until 10.\n",
        "\n",
        "#Linear Function\n",
        "n = np.linspace(1, 10, 100) # random value\n",
        "\n",
        "#Constant Function\n",
        "big_o_const = np.ones(n.shape)\n",
        "\n",
        "#Logarithmic Function\n",
        "big_o_log = np.log(n)\n",
        "\n",
        "#Logarithmic Linear Function\n",
        "big_o_log_linear = n*big_o_log\n",
        "\n",
        "#Quadratic Function\n",
        "big_o_quadratic = n**2\n",
        "\n",
        "#Cubic Function\n",
        "big_o_cubic = n**3\n",
        "\n",
        "#Exponential Function\n",
        "big_o_exponential = 2**n"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
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        "id": "vEsqep9nbLOa",
        "outputId": "7607469f-f420-40b5-a8c8-78536da7345a"
      },
      "source": [
        "n"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
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          "metadata": {
            "tags": []
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      },
      "source": [
        "big_o_const"
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        {
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        {
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      },
      "source": [
        "labels = [ 'Constant', 'Logarithmic', 'Linear','Log Linear','Quadratic','Cubic','Exponential']\n",
        "big_o = [big_o_const, big_o_log, n, big_o_log_linear, big_o_quadratic, big_o_cubic, big_o_exponential]\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 518
        },
        "id": "7S_hfLYmqiiQ",
        "outputId": "df809f43-0007-43f7-9fda-9db60f8d5191"
      },
      "source": [
        "plt.figure(figsize=(10,8))\n",
        "plt.ylim(0, 100)\n",
        "for i in range(len(big_o)):\n",
        "  plt.plot(n, big_o[i], label = labels[i])\n",
        "plt.legend()\n",
        "plt.ylabel('Runtime')\n",
        "plt.xlabel('n')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'n')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zYNkXdvtm1x2"
      },
      "source": [
        "## More Big-O example\n",
        "\n",
        "- https://www.bigocheatsheet.com/"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Q4UWdTShjmK7"
      },
      "source": [
        "*   https://wiki.python.org/moin/TimeComplexity\n",
        "*   https://www.ics.uci.edu/~pattis/ICS-33/lectures/complexitypython.txt"
      ]
    }
  ]
}