Wildcard_data_visualization.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "APhk6UqR9CVN"
      },
      "source": [
        "WILDCARD"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ],
      "metadata": {
        "id": "FexCGX7gjNFU",
        "outputId": "796a21b3-8ea2-4ec7-88be-e9d9ddce3d8a",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/drive\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "1elB8VkYKbIG"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**RESEARCH**"
      ],
      "metadata": {
        "id": "QSWSrP0CSfPv"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 424
        },
        "id": "Ux1gWerv88m6",
        "outputId": "7b704fb9-9aed-4cd3-b917-699df5a97266"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "      TimeStamp  IsGazeRayValid  HitPointX  HitPointY  IsLeftEyeBlinking  \\\n",
              "0      0.013916            True  -0.008803  -1.028998                  0   \n",
              "1      0.049866            True  -0.006139  -1.093622                  0   \n",
              "2      0.067001            True  -0.005152  -1.189588                  0   \n",
              "3      0.081131            True   0.001823  -1.095554                  0   \n",
              "4      0.095261            True  -0.036582  -1.021846                  0   \n",
              "...         ...             ...        ...        ...                ...   \n",
              "1553  21.665510            True   1.015700   0.642281                  0   \n",
              "1554  21.679460            True   1.018646   0.491042                  0   \n",
              "1555  21.692730            True   1.037039   0.236779                  0   \n",
              "1556  21.707230            True   1.055184   0.022794                  0   \n",
              "1557  21.721120            True   1.079356  -0.094948                  0   \n",
              "\n",
              "      IsRightEyeBlinking  IsFocusing  IsClicking  \n",
              "0                      0           1           0  \n",
              "1                      0           1           0  \n",
              "2                      0           1           0  \n",
              "3                      0           1           0  \n",
              "4                      0           1           0  \n",
              "...                  ...         ...         ...  \n",
              "1553                   0           1           0  \n",
              "1554                   0           1           0  \n",
              "1555                   0           1           0  \n",
              "1556                   0           1           0  \n",
              "1557                   0           1           1  \n",
              "\n",
              "[1558 rows x 8 columns]"
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              "      <th>2</th>\n",
              "      <td>0.067001</td>\n",
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              "      <th>4</th>\n",
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              "      <td>True</td>\n",
              "      <td>-0.036582</td>\n",
              "      <td>-1.021846</td>\n",
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              "    <tr>\n",
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              "      <td>21.679460</td>\n",
              "      <td>True</td>\n",
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              "      <td>0.491042</td>\n",
              "      <td>0</td>\n",
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              "      <td>1</td>\n",
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              "      <td>21.692730</td>\n",
              "      <td>True</td>\n",
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              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
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              "  "
            ]
          },
          "metadata": {},
          "execution_count": 105
        }
      ],
      "source": [
        "#import dataset from drive\n",
        "import pandas as pd\n",
        "df=pd.read_csv(\"/content/drive/MyDrive/WILDCARD/Research_Session_Giulio_2022_12_11_04_06.csv\")\n",
        "df"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#set to nan all the point where there is 0, so that are in the plot only the point \n",
        "#where the user is clicking(=1)\n",
        "for i in df.index:\n",
        "  if(df['IsClicking'][i]==0):\n",
        "    df['IsClicking'][i]=float('nan')\n",
        "    \n",
        "#plot of interesting interactions\n",
        "ax1=df.plot(x='TimeStamp',y='IsFocusing',color='red')\n",
        "ax2=df.plot.scatter(x='TimeStamp',y='IsClicking',marker='o',color='blue',ax=ax1,linewidth=7.5,figsize=(40,7))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 239
        },
        "id": "O4nCUYLFZHGb",
        "outputId": "7a6ab96a-d873-4b0c-eb89-fffc9cf632dd"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#dataset where when the data are not well collected(=IsGazeRayValid) the value is set to nan \n",
        "#so not appear in the rappresentative plot\n",
        "for i in df.index:\n",
        "  if(df['IsGazeRayValid'][i]==False):\n",
        "    df['HitPointX'][i]=float('nan')\n",
        "    df['HitPointY'][i]=float('nan')\n",
        "\n",
        "#select only 2 interesting coloumn for our modellization\n",
        "df_1=df.loc[:,[\"HitPointX\",\"HitPointY\",\"IsFocusing\"]]\n",
        "\n",
        "df_mask_0=df_1['IsFocusing']==0\n",
        "df_2=df_1[df_mask_0]\n",
        "\n",
        "df_mask_1=df_1['IsFocusing']==1\n",
        "df_3=df_1[df_mask_1]\n",
        "\n",
        "#plot\n",
        "ax1=df_3.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(16,9),color='green')\n",
        "ax2=df_2.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(16,9),color='red',ax=ax1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 551
        },
        "id": "wZiMIvCdYeQ3",
        "outputId": "37b9e84e-03bc-486b-866a-e3ac7261c517"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot heatmap\n",
        "import numpy as np\n",
        "import numpy.random\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#drop the raw where there are null value\n",
        "df_1_nan=df_1.dropna()\n",
        "#crate an array x and y of the two colon above\n",
        "x=df_1_nan.HitPointX.to_numpy()\n",
        "y=df_1_nan.HitPointY.to_numpy()\n",
        " \n",
        "# explicit function to normalize array\n",
        "def normalize(arr, t_min, t_max):\n",
        "    norm_arr = []\n",
        "    diff = t_max - t_min\n",
        "    diff_arr = max(arr) - min(arr)\n",
        "    for i in arr:\n",
        "        temp = (((i - min(arr))*diff)/diff_arr) + t_min\n",
        "        norm_arr.append(temp)\n",
        "    return norm_arr\n",
        " \n",
        "# assign array and range\n",
        "range_to_normalize = (0, 1)\n",
        "xnorm = normalize(\n",
        "    x, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "ynorm = normalize(\n",
        "    y, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "\n",
        "heatmap, xedges, yedges = np.histogram2d(xnorm, ynorm, bins=20)\n",
        "extent = [xedges[0], xedges[-1], yedges[0], yedges[-1]]\n",
        "\n",
        "f=plt.figure(figsize=(10,10))\n",
        "#plot heatmap\n",
        "plt.imshow(heatmap.T, extent=extent, origin='lower')\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "7R1FIYckYhDS",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 596
        },
        "outputId": "4a496962-fbde-427d-b877-3c44c00d5ea9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**STORY**"
      ],
      "metadata": {
        "id": "lcm0Rz-wSuT-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#import dataset from drive\n",
        "import pandas as pd\n",
        "df=pd.read_csv(\"/content/drive/MyDrive/WILDCARD/Story_Session_Tobia_2022_12_11_04_02.csv\")\n",
        "df"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 424
        },
        "id": "wXeB_riVS30g",
        "outputId": "d8d51887-92f4-42fd-9c4f-f0e1f314b7e7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "      TimeStamp  IsGazeRayValid  HitPointX  HitPointY  IsLeftEyeBlinking  \\\n",
              "0      0.016956            True  -0.473617   0.115474                  0   \n",
              "1      0.288143            True  -0.501900   0.176741                  0   \n",
              "2      0.304997            True  -0.391255  -0.305618                  0   \n",
              "3      0.319756            True  -0.404239  -0.215339                  0   \n",
              "4      0.342524            True  -0.351143  -0.935226                  0   \n",
              "...         ...             ...        ...        ...                ...   \n",
              "3186  44.680820            True  -1.034347  -0.987968                  0   \n",
              "3187  44.693750            True  -1.031607  -1.158792                  0   \n",
              "3188  44.708930            True  -1.041449  -1.030815                  0   \n",
              "3189  44.722560            True  -1.028716  -1.013680                  0   \n",
              "3190  44.736430            True  -1.029890  -1.009030                  0   \n",
              "\n",
              "      IsRightEyeBlinking  IsFocusing  IsPointing  \n",
              "0                      0           0           0  \n",
              "1                      0           0           0  \n",
              "2                      0           0           0  \n",
              "3                      0           0           0  \n",
              "4                      0           0           0  \n",
              "...                  ...         ...         ...  \n",
              "3186                   0           1           1  \n",
              "3187                   0           1           1  \n",
              "3188                   0           1           1  \n",
              "3189                   0           1           1  \n",
              "3190                   0           1           1  \n",
              "\n",
              "[3191 rows x 8 columns]"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-12768130-327f-4ddb-a64b-92a17a1da7f6\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>TimeStamp</th>\n",
              "      <th>IsGazeRayValid</th>\n",
              "      <th>HitPointX</th>\n",
              "      <th>HitPointY</th>\n",
              "      <th>IsLeftEyeBlinking</th>\n",
              "      <th>IsRightEyeBlinking</th>\n",
              "      <th>IsFocusing</th>\n",
              "      <th>IsPointing</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0.016956</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.473617</td>\n",
              "      <td>0.115474</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>0.288143</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.501900</td>\n",
              "      <td>0.176741</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>0.304997</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.391255</td>\n",
              "      <td>-0.305618</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>0.319756</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.404239</td>\n",
              "      <td>-0.215339</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0.342524</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.351143</td>\n",
              "      <td>-0.935226</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3186</th>\n",
              "      <td>44.680820</td>\n",
              "      <td>True</td>\n",
              "      <td>-1.034347</td>\n",
              "      <td>-0.987968</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3187</th>\n",
              "      <td>44.693750</td>\n",
              "      <td>True</td>\n",
              "      <td>-1.031607</td>\n",
              "      <td>-1.158792</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3188</th>\n",
              "      <td>44.708930</td>\n",
              "      <td>True</td>\n",
              "      <td>-1.041449</td>\n",
              "      <td>-1.030815</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3189</th>\n",
              "      <td>44.722560</td>\n",
              "      <td>True</td>\n",
              "      <td>-1.028716</td>\n",
              "      <td>-1.013680</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3190</th>\n",
              "      <td>44.736430</td>\n",
              "      <td>True</td>\n",
              "      <td>-1.029890</td>\n",
              "      <td>-1.009030</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>3191 rows × 8 columns</p>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-12768130-327f-4ddb-a64b-92a17a1da7f6')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-12768130-327f-4ddb-a64b-92a17a1da7f6 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-12768130-327f-4ddb-a64b-92a17a1da7f6');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 111
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot of interesting interactions\n",
        "ax1=df.plot(x='TimeStamp',y='IsFocusing',color='red',figsize=(40,7),linewidth=2.0)\n",
        "ax2=df.plot(x='TimeStamp',y='IsPointing',color='blue',figsize=(40,7),linewidth=1.0)"
      ],
      "metadata": {
        "id": "f3Htes01rLTD",
        "outputId": "91313329-5a16-4237-9e78-62b0c63dfd10",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 463
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
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          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot of interesting interactions\n",
        "ax1=df.plot(x='TimeStamp',y='IsFocusing',color='red',linewidth=2.0)\n",
        "ax2=df.plot(x='TimeStamp',y='IsPointing',color='blue',ax=ax1,figsize=(40,7),linewidth=1.0)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 240
        },
        "id": "07_qLqflX44K",
        "outputId": "843e7b43-90c5-4807-a31d-6fc5fa1e5403"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#dataset where when the data are not well collected(=IsGazeRayValid) the value is set to nan \n",
        "#so not appear in the rappresentative plot\n",
        "for i in df.index:\n",
        "  if(df['IsGazeRayValid'][i]==False):\n",
        "    df['HitPointX'][i]=float('nan')\n",
        "    df['HitPointY'][i]=float('nan')\n",
        "  \n",
        "#select only 2 interesting coloumn for our modellization\n",
        "df_1=df.loc[:,[\"HitPointX\",\"HitPointY\",\"IsFocusing\"]]\n",
        "\n",
        "df_mask_0=df_1['IsFocusing']==0\n",
        "df_2=df_1[df_mask_0]\n",
        "\n",
        "df_mask_1=df_1['IsFocusing']==1\n",
        "df_3=df_1[df_mask_1]\n",
        "\n",
        "#plot\n",
        "ax1=df_3.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(16,9),color='green')\n",
        "ax2=df_2.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(16,9),color='red',ax=ax1)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 725
        },
        "id": "b0RMKnmWTxI3",
        "outputId": "e37060be-0f4d-4b40-81d7-dcaff46a8c14"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-114-d85d1d4898a8>:5: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  df['HitPointX'][i]=float('nan')\n",
            "<ipython-input-114-d85d1d4898a8>:6: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  df['HitPointY'][i]=float('nan')\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot heatmap\n",
        "import numpy as np\n",
        "import numpy.random\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#drop the raw where there are null value\n",
        "df_1_nan=df_1.dropna()\n",
        "#crate an array x and y of the two colon above\n",
        "x=df_1_nan.HitPointX.to_numpy()\n",
        "y=df_1_nan.HitPointY.to_numpy()\n",
        " \n",
        "# explicit function to normalize array\n",
        "def normalize(arr, t_min, t_max):\n",
        "    norm_arr = []\n",
        "    diff = t_max - t_min\n",
        "    diff_arr = max(arr) - min(arr)\n",
        "    for i in arr:\n",
        "        temp = (((i - min(arr))*diff)/diff_arr) + t_min\n",
        "        norm_arr.append(temp)\n",
        "    return norm_arr\n",
        " \n",
        "# assign array and range\n",
        "range_to_normalize = (0, 1)\n",
        "xnorm = normalize(\n",
        "    x, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "ynorm = normalize(\n",
        "    y, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "\n",
        "heatmap, xedges, yedges = np.histogram2d(xnorm, ynorm, bins=20)\n",
        "extent = [xedges[0], xedges[-1], yedges[0], yedges[-1]]\n",
        "\n",
        "f=plt.figure(figsize=(10,10))\n",
        "#plot heatmap\n",
        "plt.imshow(heatmap.T, extent=extent, origin='lower')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 596
        },
        "id": "8Jjq9ScAVCn3",
        "outputId": "8ef0a0e3-1a99-452e-edb8-eefb03c79709"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**EXPLORATON**"
      ],
      "metadata": {
        "id": "Qmd3bGkPZIwA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#import dataset from drive\n",
        "import pandas as pd\n",
        "df=pd.read_csv(\"/content/drive/MyDrive/WILDCARD/DataCollection/Exploration/Exploration_Session_Tobia_2022_12_12_10_49.csv\")\n",
        "df"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 488
        },
        "id": "P4qH3V05ZG8I",
        "outputId": "d1e73670-1a38-49a9-8912-cf436bbc556c"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "      TimeStamp  IsGazeRayValid  HitPointX  HitPointY  ChildPositionX  \\\n",
              "0      0.014091            True  -0.092970   2.449999        0.019681   \n",
              "1      0.239553            True  -0.109752   2.449999        0.019804   \n",
              "2      0.248087            True  -0.117987   2.449999        0.019785   \n",
              "3      0.259767            True  -0.117798   2.449999        0.019771   \n",
              "4      0.277940            True  15.450000   0.832796        0.019741   \n",
              "...         ...             ...        ...        ...             ...   \n",
              "5676  79.289180            True  25.400000  19.789240       20.257480   \n",
              "5677  79.303330            True  25.400000  19.777310       20.284480   \n",
              "5678  79.317470            True  25.400000  19.778490       20.311430   \n",
              "5679  79.331280            True  25.400000  19.754630       20.337720   \n",
              "5680  79.331280            True  25.400000  19.754630       20.337430   \n",
              "\n",
              "      ChildPositionY  IsLeftEyeBlinking  IsRightEyeBlinking  IsFocusing  \\\n",
              "0          -0.011937                  0                   0           0   \n",
              "1          -0.012115                  0                   0           0   \n",
              "2          -0.013575                  0                   0           0   \n",
              "3          -0.013707                  0                   0           0   \n",
              "4          -0.013885                  0                   0           0   \n",
              "...              ...                ...                 ...         ...   \n",
              "5676       20.154900                  0                   0           1   \n",
              "5677       20.154270                  0                   0           1   \n",
              "5678       20.153640                  0                   0           1   \n",
              "5679       20.153040                  0                   0           1   \n",
              "5680       20.153040                  0                   0           1   \n",
              "\n",
              "      IsPointing  IsLookingSky  \n",
              "0              0             0  \n",
              "1              0             0  \n",
              "2              0             0  \n",
              "3              0             0  \n",
              "4              0             0  \n",
              "...          ...           ...  \n",
              "5676           1             0  \n",
              "5677           1             0  \n",
              "5678           1             0  \n",
              "5679           1             0  \n",
              "5680           1             0  \n",
              "\n",
              "[5681 rows x 11 columns]"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-c9be6ce6-2111-4ec3-8660-a07420be3c69\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>TimeStamp</th>\n",
              "      <th>IsGazeRayValid</th>\n",
              "      <th>HitPointX</th>\n",
              "      <th>HitPointY</th>\n",
              "      <th>ChildPositionX</th>\n",
              "      <th>ChildPositionY</th>\n",
              "      <th>IsLeftEyeBlinking</th>\n",
              "      <th>IsRightEyeBlinking</th>\n",
              "      <th>IsFocusing</th>\n",
              "      <th>IsPointing</th>\n",
              "      <th>IsLookingSky</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0.014091</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.092970</td>\n",
              "      <td>2.449999</td>\n",
              "      <td>0.019681</td>\n",
              "      <td>-0.011937</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>0.239553</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.109752</td>\n",
              "      <td>2.449999</td>\n",
              "      <td>0.019804</td>\n",
              "      <td>-0.012115</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>0.248087</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.117987</td>\n",
              "      <td>2.449999</td>\n",
              "      <td>0.019785</td>\n",
              "      <td>-0.013575</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>0.259767</td>\n",
              "      <td>True</td>\n",
              "      <td>-0.117798</td>\n",
              "      <td>2.449999</td>\n",
              "      <td>0.019771</td>\n",
              "      <td>-0.013707</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0.277940</td>\n",
              "      <td>True</td>\n",
              "      <td>15.450000</td>\n",
              "      <td>0.832796</td>\n",
              "      <td>0.019741</td>\n",
              "      <td>-0.013885</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5676</th>\n",
              "      <td>79.289180</td>\n",
              "      <td>True</td>\n",
              "      <td>25.400000</td>\n",
              "      <td>19.789240</td>\n",
              "      <td>20.257480</td>\n",
              "      <td>20.154900</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5677</th>\n",
              "      <td>79.303330</td>\n",
              "      <td>True</td>\n",
              "      <td>25.400000</td>\n",
              "      <td>19.777310</td>\n",
              "      <td>20.284480</td>\n",
              "      <td>20.154270</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5678</th>\n",
              "      <td>79.317470</td>\n",
              "      <td>True</td>\n",
              "      <td>25.400000</td>\n",
              "      <td>19.778490</td>\n",
              "      <td>20.311430</td>\n",
              "      <td>20.153640</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5679</th>\n",
              "      <td>79.331280</td>\n",
              "      <td>True</td>\n",
              "      <td>25.400000</td>\n",
              "      <td>19.754630</td>\n",
              "      <td>20.337720</td>\n",
              "      <td>20.153040</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5680</th>\n",
              "      <td>79.331280</td>\n",
              "      <td>True</td>\n",
              "      <td>25.400000</td>\n",
              "      <td>19.754630</td>\n",
              "      <td>20.337430</td>\n",
              "      <td>20.153040</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>5681 rows × 11 columns</p>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-c9be6ce6-2111-4ec3-8660-a07420be3c69')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
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              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-c9be6ce6-2111-4ec3-8660-a07420be3c69 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-c9be6ce6-2111-4ec3-8660-a07420be3c69');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot of interesting interactions\n",
        "ax1=df.plot(x='TimeStamp',y='IsFocusing',color='red',figsize=(40,7),linewidth=2.0)\n",
        "ax2=df.plot(x='TimeStamp',y='IsPointing',color='blue',figsize=(40,7),linewidth=1.0)\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 330
        },
        "id": "Gs3VG7AXZRK0",
        "outputId": "29f3a04e-a31a-46b8-930a-0f5fec5a5523"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
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          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ax1=df.plot(x='TimeStamp',y='IsFocusing',color='red',figsize=(40,7),linewidth=2.0)\n",
        "ax3=df.plot(x='TimeStamp',y='IsPointing',color='blue',ax=ax1,figsize=(40,7),linewidth=1.0)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 173
        },
        "id": "80-KEA4zyZVh",
        "outputId": "177341fe-303a-42d9-d486-df4c24e7104b"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2880x504 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#dataset where when the data are not well collected(=IsGazeRayValid) the value is set to nan \n",
        "#so not appear in the rappresentative plot\n",
        "for i in df.index:\n",
        "  if(df['IsGazeRayValid'][i]==False):\n",
        "    df['HitPointX'][i]=float('nan')\n",
        "    df['HitPointY'][i]=float('nan')\n",
        "  if(df['IsLookingSky'][i]==1):\n",
        "    df['HitPointX'][i]=float('nan')\n",
        "    df['HitPointY'][i]=float('nan')\n",
        "  \n",
        "#select only 2 interesting coloumn for our modellization\n",
        "df_1=df.loc[:,[\"HitPointX\",\"HitPointY\",\"IsFocusing\"]]\n",
        "\n",
        "df_mask_0=df_1['IsFocusing']==0\n",
        "df_2=df_1[df_mask_0]\n",
        "\n",
        "df_mask_1=df_1['IsFocusing']==1\n",
        "df_3=df_1[df_mask_1]\n",
        "\n",
        "#plot\n",
        "ax1=df_3.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(9,9),color='green')\n",
        "ax2=df_2.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(9,9),color='red')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "xjbn-zbBLubn",
        "outputId": "d81e6ba3-807e-4811-98d0-74e5e16fb259"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-14-2e30379072ce>:5: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  df['HitPointX'][i]=float('nan')\n",
            "<ipython-input-14-2e30379072ce>:6: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  df['HitPointY'][i]=float('nan')\n",
            "<ipython-input-14-2e30379072ce>:8: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  df['HitPointX'][i]=float('nan')\n",
            "<ipython-input-14-2e30379072ce>:9: SettingWithCopyWarning: \n",
            "A value is trying to be set on a copy of a slice from a DataFrame\n",
            "\n",
            "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
            "  df['HitPointY'][i]=float('nan')\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 648x648 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 648x648 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ax1=df_3.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(9,9),color='green')\n",
        "ax2=df_2.plot.scatter(x=\"HitPointX\", y=\"HitPointY\",figsize=(9,9),color='red', ax=ax1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 551
        },
        "id": "_a1Vukt_8mQ3",
        "outputId": "d84d8820-9bc3-4170-9d64-f0ca4f029769"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 648x648 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot heatmap\n",
        "import numpy as np\n",
        "import numpy.random\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#drop the raw where there are null value\n",
        "df_1_nan=df_1.dropna()\n",
        "#crate an array x and y of the two colon above\n",
        "x=df_1_nan.HitPointX.to_numpy()\n",
        "y=df_1_nan.HitPointY.to_numpy()\n",
        " \n",
        "# explicit function to normalize array\n",
        "def normalize(arr, t_min, t_max):\n",
        "    norm_arr = []\n",
        "    diff = t_max - t_min\n",
        "    diff_arr = max(arr) - min(arr)\n",
        "    for i in arr:\n",
        "        temp = (((i - min(arr))*diff)/diff_arr) + t_min\n",
        "        norm_arr.append(temp)\n",
        "    return norm_arr\n",
        " \n",
        "# assign array and range\n",
        "range_to_normalize = (0, 1)\n",
        "xnorm = normalize(\n",
        "    x, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "ynorm = normalize(\n",
        "    y, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "\n",
        "heatmap, xedges, yedges = np.histogram2d(xnorm, ynorm, bins=20)\n",
        "extent = [xedges[0], xedges[-1], yedges[0], yedges[-1]]\n",
        "\n",
        "f=plt.figure(figsize=(10,10))\n",
        "#plot heatmap\n",
        "plt.imshow(heatmap.T, extent=extent, origin='lower')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 596
        },
        "id": "nqXvaY-C_urk",
        "outputId": "7a846eb9-8e3e-44ba-98d3-b66a63dec619"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#select only 2 interesting coloumn for our modellization\n",
        "df_1=df.loc[:,[\"ChildPositionX\",\"ChildPositionY\",\"IsFocusing\"]]\n",
        "\n",
        "df_mask_0=df_1['IsFocusing']==0\n",
        "df_2=df_1[df_mask_0]\n",
        "\n",
        "df_mask_1=df_1['IsFocusing']==1\n",
        "df_3=df_1[df_mask_1]\n",
        "\n",
        "#plot\n",
        "ax1=df_3.plot.scatter(x=\"ChildPositionX\", y=\"ChildPositionY\",figsize=(9,9),color='green')\n",
        "ax2=df_2.plot.scatter(x=\"ChildPositionX\", y=\"ChildPositionY\",figsize=(9,9),color='red')\n",
        "\n",
        "#ax1=df.plot.scatter(x=\"ChildPositionX\", y=\"ChildPositionY\",figsize=(9,9),color='blue')\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "PtHwPPdr8trV",
        "outputId": "9f44c822-aa77-4442-8bd3-c800b5d168c7"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 648x648 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 648x648 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#plot heatmap\n",
        "import numpy as np\n",
        "import numpy.random\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#drop the raw where there are null value\n",
        "df_1_nan=df.dropna()\n",
        "#crate an array x and y of the two colon above\n",
        "x=df_1_nan.ChildPositionX.to_numpy()\n",
        "y=df_1_nan.ChildPositionY.to_numpy()\n",
        " \n",
        "# explicit function to normalize array\n",
        "def normalize(arr, t_min, t_max):\n",
        "    norm_arr = []\n",
        "    diff = t_max - t_min\n",
        "    diff_arr = max(arr) - min(arr)\n",
        "    for i in arr:\n",
        "        temp = (((i - min(arr))*diff)/diff_arr) + t_min\n",
        "        norm_arr.append(temp)\n",
        "    return norm_arr\n",
        " \n",
        "# assign array and range\n",
        "range_to_normalize = (0, 1)\n",
        "xnorm = normalize(\n",
        "    x, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "ynorm = normalize(\n",
        "    y, range_to_normalize[0],\n",
        "  range_to_normalize[1])\n",
        "\n",
        "heatmap, xedges, yedges = np.histogram2d(xnorm, ynorm, bins=30)\n",
        "extent = [xedges[0], xedges[-1], yedges[0], yedges[-1]]\n",
        "\n",
        "f=plt.figure(figsize=(10,10))\n",
        "#plot heatmap\n",
        "plt.imshow(heatmap.T, extent=extent, origin='lower')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 596
        },
        "id": "OGtwtu4MANgp",
        "outputId": "1762b1ae-b8e8-4ad7-b5ec-e4a5eb079acd"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}