AR.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<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>Current Total Count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Time</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-07-24 00:00:00</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-24 00:30:00</th>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-24 01:00:00</th>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-24 01:30:00</th>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-24 02:00:00</th>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-11-04 21:30:00</th>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-11-04 22:00:00</th>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-11-04 22:30:00</th>\n",
       "      <td>41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-11-04 23:00:00</th>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-11-04 23:30:00</th>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4992 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                     Current Total Count\n",
       "Time                                    \n",
       "2005-07-24 00:00:00                    0\n",
       "2005-07-24 00:30:00                   -1\n",
       "2005-07-24 01:00:00                   -1\n",
       "2005-07-24 01:30:00                   -1\n",
       "2005-07-24 02:00:00                   -1\n",
       "...                                  ...\n",
       "2005-11-04 21:30:00                   42\n",
       "2005-11-04 22:00:00                   42\n",
       "2005-11-04 22:30:00                   41\n",
       "2005-11-04 23:00:00                   40\n",
       "2005-11-04 23:30:00                   39\n",
       "\n",
       "[4992 rows x 1 columns]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from pandas import read_csv\n",
    "from datetime import datetime\n",
    "from pandas import DataFrame\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "url = 'crowd_change1.csv'\n",
    "#df1 = pd.read_csv(url)\n",
    "# series = read_csv(url, header=0, index_col=0, parse_dates=True, squeeze=True)\n",
    "series = read_csv(url, header=0, index_col=0, parse_dates=True)\n",
    "series\n",
    "# print(series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_853324/2702083590.py:4: UserWarning: Could not infer format, so each element will be parsed individually, falling back to `dateutil`. To ensure parsing is consistent and as-expected, please specify a format.\n",
      "  df['Time'] = pd.to_datetime(df['Time'], yearfirst=True)\n"
     ]
    }
   ],
   "source": [
    "df = pd.read_csv('crowd_change.csv', engine='python')\n",
    "\n",
    "# interpolation for \"Time\"\n",
    "df['Time'] = pd.to_datetime(df['Time'], yearfirst=True)\n",
    "for dd in df['Time'].index:\n",
    "  if dd%2 == 1:\n",
    "    df['Time'].iloc[dd].values = df['Time'].iloc[dd] + pd.DateOffset(minutes=15)\n",
    "\n",
    "df.index = df['Time']\n",
    "df.drop(columns=['Time'], inplace=True)\n",
    "timeseries = df[[\"Current Total Count\"]].values.astype('float32')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time\n",
       "2005-07-24 00:00:00     0\n",
       "2005-07-24 00:00:00     0\n",
       "2005-07-24 00:30:00    -1\n",
       "2005-07-24 00:30:00    -1\n",
       "2005-07-24 01:00:00    -1\n",
       "                       ..\n",
       "2005-11-05 22:30:00   -23\n",
       "2005-11-05 23:00:00   -23\n",
       "2005-11-05 23:00:00   -23\n",
       "2005-11-05 23:30:00   -24\n",
       "2005-11-05 23:30:00   -24\n",
       "Name: Current Total Count, Length: 10080, dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "series = df['Current Total Count']\n",
    "series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pandas.plotting import lag_plot\n",
    "# series = read_csv(url, header=0, index_col=0)\n",
    "lag_plot(series)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          t-1       t+1\n",
      "t-1  1.000000  0.926471\n",
      "t+1  0.926471  1.000000\n"
     ]
    }
   ],
   "source": [
    "from pandas import concat\n",
    "# series = read_csv(url, header=0, index_col=0)\n",
    "values = DataFrame(series.values)\n",
    "dataframe = concat([values.shift(1), values], axis=1)\n",
    "dataframe.columns = ['t-1', 't+1']\n",
    "result = dataframe.corr()\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pandas.plotting import autocorrelation_plot\n",
    "# series = read_csv(url, header=0, index_col=0)\n",
    "autocorrelation_plot(series)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "# series = read_csv(url, header=0, index_col=0)\n",
    "plot_acf(series, lags=1900)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Coefficients: [ 0.54041321  0.75085751  0.3452387  ...  0.01724893 -0.00935631\n",
      " -0.01133593]\n",
      "[0] predicted=-19.45180360871242, expected = -3\n",
      "[30] predicted=-1.5931829588438018, expected = -4\n",
      "[60] predicted=-3.100600194716886, expected = -11\n",
      "[90] predicted=-6.038828939482198, expected = -33\n",
      "[120] predicted=-1.0349773618595304, expected = -1\n",
      "[150] predicted=32.49147433518192, expected = 54\n",
      "[180] predicted=37.33581631433518, expected = 47\n",
      "[210] predicted=5.895204617368014, expected = -5\n",
      "[240] predicted=22.178708537795334, expected = 9\n",
      "[270] predicted=37.34454446481401, expected = 7\n",
      "[300] predicted=-1.54097565664987, expected = 0\n",
      "[330] predicted=9.64737663250564, expected = 28\n",
      "[360] predicted=23.22460898665402, expected = 56\n",
      "[390] predicted=-4.1443141526715745, expected = -3\n",
      "[420] predicted=-1.9023026139408747, expected = 2\n",
      "[450] predicted=30.879074103053057, expected = 31\n",
      "[480] predicted=-5.189050525881287, expected = -1\n",
      "[510] predicted=1.1070518481583769, expected = -7\n",
      "[540] predicted=41.49467962863912, expected = 63\n",
      "[570] predicted=9.355484144069276, expected = 22\n",
      "[600] predicted=1.1225142422523215, expected = -5\n",
      "[630] predicted=-3.884935290594508, expected = -7\n",
      "[660] predicted=-18.425208512992292, expected = -22\n",
      "[690] predicted=0.6154271899148351, expected = -1\n",
      "[720] predicted=-9.701970261465512, expected = -1\n",
      "[750] predicted=-18.49037174559411, expected = -22\n",
      "[780] predicted=-7.663375770566855, expected = -3\n",
      "[810] predicted=22.493773062734455, expected = 18\n",
      "[840] predicted=43.673994149185134, expected = 23\n",
      "[870] predicted=-0.21704633341454027, expected = -5\n",
      "[900] predicted=6.435632721365789, expected = -5\n",
      "[930] predicted=57.21247507401975, expected = 60\n",
      "[960] predicted=5.656452763858606, expected = -1\n",
      "[990] predicted=-7.063920644328377, expected = -6\n",
      "[1020] predicted=11.936600380974602, expected = 45\n",
      "[1050] predicted=4.586040070665155, expected = 9\n",
      "[1080] predicted=-5.702929978846972, expected = -7\n",
      "[1110] predicted=8.965320422415775, expected = 23\n",
      "[1140] predicted=10.277322455644205, expected = 11\n",
      "[1170] predicted=-4.178655996149168, expected = -1\n",
      "[1200] predicted=19.385514306163387, expected = 20\n",
      "[1230] predicted=19.132905790554208, expected = 35\n",
      "[1260] predicted=2.3916409737117865, expected = -1\n",
      "[1290] predicted=3.8051214285355943, expected = -2\n",
      "[1320] predicted=-8.265811814894102, expected = -16\n",
      "[1350] predicted=-3.7582624931721345, expected = -2\n",
      "[1380] predicted=-6.672016973787295, expected = -7\n",
      "[1410] predicted=-5.185967268854567, expected = -9\n",
      "[1440] predicted=-11.726607166898829, expected = 0\n",
      "[1470] predicted=5.995995782796078, expected = -3\n",
      "[1500] predicted=46.74818296580287, expected = 56\n",
      "[1530] predicted=21.34648305450734, expected = -11\n",
      "[1560] predicted=3.286959889769668, expected = -8\n",
      "[1590] predicted=42.39471987793771, expected = 18\n",
      "[1620] predicted=35.24228708346691, expected = 15\n",
      "[1650] predicted=4.532096767992888, expected = -5\n",
      "[1680] predicted=0.6656922971592498, expected = 27\n",
      "[1710] predicted=13.255845289879458, expected = 17\n",
      "[1740] predicted=-2.781769910516448, expected = -6\n",
      "[1770] predicted=3.276542551140312, expected = 11\n",
      "[1800] predicted=25.14236253110992, expected = 15\n",
      "[1830] predicted=-8.194631510802814, expected = -9\n",
      "[1860] predicted=4.53970229897453, expected = -12\n",
      "[1890] predicted=40.051985569621685, expected = 60\n",
      "[1920] predicted=-0.224685558685906, expected = 0\n",
      "[1950] predicted=2.02520253522039, expected = -3\n",
      "[1980] predicted=1.8045892363301332, expected = -10\n",
      "[2010] predicted=-11.507801225483906, expected = -23\n",
      "Test RMSE: 13.668\n"
     ]
    }
   ],
   "source": [
    "# split dataset\n",
    "X = series.values\n",
    "# train, test = X[1:len(X)-48], X[len(X)-48:]\n",
    "\n",
    "# train-test split for time series\n",
    "train_size = int(len(series) * 0.8)\n",
    "test_size = len(series) - train_size\n",
    "train, test = series.values[:train_size], series.values[train_size:]\n",
    "\n",
    "\n",
    "from statsmodels.tsa.ar_model import AutoReg\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from math import sqrt\n",
    "# train autoregression\n",
    "# model = AutoReg(train, lags=500)\n",
    "model = AutoReg(train, lags=1500)\n",
    "# model = AutoReg(train, lags=3000)\n",
    "model_fit = model.fit()\n",
    "print('Coefficients: %s' % model_fit.params)\n",
    "\n",
    "# make predictions\n",
    "further_pred_length: int = 500\n",
    "predictions = model_fit.predict(start=len(train),\n",
    "                                end=len(train)+len(test)-1+further_pred_length,\n",
    "                                dynamic=False,\n",
    "                                # dynamic=True,\n",
    "                                )\n",
    "# for i in range(len(predictions)):\n",
    "\t# print('predicted=%f, expected = %d' % (predictions[i], test[i]))\n",
    "for i in range(len(test)):\n",
    "  if i % 30 == 0:\n",
    "    print(f'[{i}] predicted={predictions[i]}, expected = {test[i]}')\n",
    "rmse = sqrt(mean_squared_error(test, predictions[:len(test)]))\n",
    "print('Test RMSE: %.3f' % rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",

      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot results\n",
    "fig, ax = plt.subplots(figsize=(10, 4))\n",
    "fig.suptitle('[AutoRegression] Crowd Forecasting')\n",
    "ax.set_title(f'RMSE={rmse:.2f}, Length of Future predicted: {further_pred_length}')\n",
    "ax.set_xlabel('Time points')\n",
    "ax.set_ylabel('number of people')\n",
    "ax.plot(test, label='GT')\n",
    "ax.plot(predictions, color='red', label='predictions')\n",
    "y_lower, y_upper = ax.get_ybound()\n",
    "ax.vlines(x=len(test), ymin=y_lower, ymax=y_upper, colors='g', linestyles='dashdot')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "資料表標題：\n",
      "['TID', 'PD', 'GT', 'RMSE', 'TP']\n",
      "資料表內容：\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('30', -2, -4, Decimal('13.67'), 8094)\n",
      "('60', -3, -11, Decimal('13.67'), 8124)\n",
      "('90', -6, -33, Decimal('13.67'), 8154)\n",
      "('120', -1, -1, Decimal('13.67'), 8184)\n",
      "('150', 32, 54, Decimal('13.67'), 8214)\n",
      "('180', 37, 47, Decimal('13.67'), 8244)\n",
      "('210', 6, -5, Decimal('13.67'), 8274)\n",
      "('240', 22, 9, Decimal('13.67'), 8304)\n",
      "('270', 37, 7, Decimal('13.67'), 8334)\n",
      "('300', -2, 0, Decimal('13.67'), 8364)\n",
      "('330', 10, 28, Decimal('13.67'), 8394)\n",
      "('360', 23, 56, Decimal('13.67'), 8424)\n",
      "('390', -4, -3, Decimal('13.67'), 8454)\n",
      "('420', -2, 2, Decimal('13.67'), 8484)\n",
      "('450', 31, 31, Decimal('13.67'), 8514)\n",
      "('480', -5, -1, Decimal('13.67'), 8544)\n",
      "('510', 1, -7, Decimal('13.67'), 8574)\n",
      "('540', 41, 63, Decimal('13.67'), 8604)\n",
      "('570', 9, 22, Decimal('13.67'), 8634)\n",
      "('600', 1, -5, Decimal('13.67'), 8664)\n",
      "('630', -4, -7, Decimal('13.67'), 8694)\n",
      "('660', -18, -22, Decimal('13.67'), 8724)\n",
      "('690', 1, -1, Decimal('13.67'), 8754)\n",
      "('720', -10, -1, Decimal('13.67'), 8784)\n",
      "('750', -18, -22, Decimal('13.67'), 8814)\n",
      "('780', -8, -3, Decimal('13.67'), 8844)\n",
      "('810', 22, 18, Decimal('13.67'), 8874)\n",
      "('840', 44, 23, Decimal('13.67'), 8904)\n",
      "('870', 0, -5, Decimal('13.67'), 8934)\n",
      "('900', 6, -5, Decimal('13.67'), 8964)\n",
      "('930', 57, 60, Decimal('13.67'), 8994)\n",
      "('960', 6, -1, Decimal('13.67'), 9024)\n",
      "('990', -7, -6, Decimal('13.67'), 9054)\n",
      "('1020', 12, 45, Decimal('13.67'), 9084)\n",
      "('1050', 5, 9, Decimal('13.67'), 9114)\n",
      "('1080', -6, -7, Decimal('13.67'), 9144)\n",
      "('1110', 9, 23, Decimal('13.67'), 9174)\n",
      "('1140', 10, 11, Decimal('13.67'), 9204)\n",
      "('1170', -4, -1, Decimal('13.67'), 9234)\n",
      "('1200', 19, 20, Decimal('13.67'), 9264)\n",
      "('1230', 19, 35, Decimal('13.67'), 9294)\n",
      "('1260', 2, -1, Decimal('13.67'), 9324)\n",
      "('1290', 4, -2, Decimal('13.67'), 9354)\n",
      "('1320', -8, -16, Decimal('13.67'), 9384)\n",
      "('1350', -4, -2, Decimal('13.67'), 9414)\n",
      "('1380', -7, -7, Decimal('13.67'), 9444)\n",
      "('1410', -5, -9, Decimal('13.67'), 9474)\n",
      "('1440', -12, 0, Decimal('13.67'), 9504)\n",
      "('1470', 6, -3, Decimal('13.67'), 9534)\n",
      "('1500', 47, 56, Decimal('13.67'), 9564)\n",
      "('1530', 21, -11, Decimal('13.67'), 9594)\n",
      "('1560', 3, -8, Decimal('13.67'), 9624)\n",
      "('1590', 42, 18, Decimal('13.67'), 9654)\n",
      "('1620', 35, 15, Decimal('13.67'), 9684)\n",
      "('1650', 5, -5, Decimal('13.67'), 9714)\n",
      "('1680', 1, 27, Decimal('13.67'), 9744)\n",
      "('1710', 13, 17, Decimal('13.67'), 9774)\n",
      "('1740', -3, -6, Decimal('13.67'), 9804)\n",
      "('1770', 3, 11, Decimal('13.67'), 9834)\n",
      "('1800', 25, 15, Decimal('13.67'), 9864)\n",
      "('1830', -8, -9, Decimal('13.67'), 9894)\n",
      "('1860', 5, -12, Decimal('13.67'), 9924)\n",
      "('1890', 40, 60, Decimal('13.67'), 9954)\n",
      "('1920', 0, 0, Decimal('13.67'), 9984)\n",
      "('1950', 2, -3, Decimal('13.67'), 10014)\n",
      "('1980', 2, -10, Decimal('13.67'), 10044)\n",
      "('2010', -12, -23, Decimal('13.67'), 10074)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('30', -2, -4, Decimal('13.67'), 8094)\n",
      "('60', -3, -11, Decimal('13.67'), 8124)\n",
      "('90', -6, -33, Decimal('13.67'), 8154)\n",
      "('120', -1, -1, Decimal('13.67'), 8184)\n",
      "('150', 32, 54, Decimal('13.67'), 8214)\n",
      "('180', 37, 47, Decimal('13.67'), 8244)\n",
      "('210', 6, -5, Decimal('13.67'), 8274)\n",
      "('240', 22, 9, Decimal('13.67'), 8304)\n",
      "('270', 37, 7, Decimal('13.67'), 8334)\n",
      "('300', -2, 0, Decimal('13.67'), 8364)\n",
      "('330', 10, 28, Decimal('13.67'), 8394)\n",
      "('360', 23, 56, Decimal('13.67'), 8424)\n",
      "('390', -4, -3, Decimal('13.67'), 8454)\n",
      "('420', -2, 2, Decimal('13.67'), 8484)\n",
      "('450', 31, 31, Decimal('13.67'), 8514)\n",
      "('480', -5, -1, Decimal('13.67'), 8544)\n",
      "('510', 1, -7, Decimal('13.67'), 8574)\n",
      "('540', 41, 63, Decimal('13.67'), 8604)\n",
      "('570', 9, 22, Decimal('13.67'), 8634)\n",
      "('600', 1, -5, Decimal('13.67'), 8664)\n",
      "('630', -4, -7, Decimal('13.67'), 8694)\n",
      "('660', -18, -22, Decimal('13.67'), 8724)\n",
      "('690', 1, -1, Decimal('13.67'), 8754)\n",
      "('720', -10, -1, Decimal('13.67'), 8784)\n",
      "('750', -18, -22, Decimal('13.67'), 8814)\n",
      "('780', -8, -3, Decimal('13.67'), 8844)\n",
      "('810', 22, 18, Decimal('13.67'), 8874)\n",
      "('840', 44, 23, Decimal('13.67'), 8904)\n",
      "('870', 0, -5, Decimal('13.67'), 8934)\n",
      "('900', 6, -5, Decimal('13.67'), 8964)\n",
      "('930', 57, 60, Decimal('13.67'), 8994)\n",
      "('960', 6, -1, Decimal('13.67'), 9024)\n",
      "('990', -7, -6, Decimal('13.67'), 9054)\n",
      "('1020', 12, 45, Decimal('13.67'), 9084)\n",
      "('1050', 5, 9, Decimal('13.67'), 9114)\n",
      "('1080', -6, -7, Decimal('13.67'), 9144)\n",
      "('1110', 9, 23, Decimal('13.67'), 9174)\n",
      "('1140', 10, 11, Decimal('13.67'), 9204)\n",
      "('1170', -4, -1, Decimal('13.67'), 9234)\n",
      "('1200', 19, 20, Decimal('13.67'), 9264)\n",
      "('1230', 19, 35, Decimal('13.67'), 9294)\n",
      "('1260', 2, -1, Decimal('13.67'), 9324)\n",
      "('1290', 4, -2, Decimal('13.67'), 9354)\n",
      "('1320', -8, -16, Decimal('13.67'), 9384)\n",
      "('1350', -4, -2, Decimal('13.67'), 9414)\n",
      "('1380', -7, -7, Decimal('13.67'), 9444)\n",
      "('1410', -5, -9, Decimal('13.67'), 9474)\n",
      "('1440', -12, 0, Decimal('13.67'), 9504)\n",
      "('1470', 6, -3, Decimal('13.67'), 9534)\n",
      "('1500', 47, 56, Decimal('13.67'), 9564)\n",
      "('1530', 21, -11, Decimal('13.67'), 9594)\n",
      "('1560', 3, -8, Decimal('13.67'), 9624)\n",
      "('1590', 42, 18, Decimal('13.67'), 9654)\n",
      "('1620', 35, 15, Decimal('13.67'), 9684)\n",
      "('1650', 5, -5, Decimal('13.67'), 9714)\n",
      "('1680', 1, 27, Decimal('13.67'), 9744)\n",
      "('1710', 13, 17, Decimal('13.67'), 9774)\n",
      "('1740', -3, -6, Decimal('13.67'), 9804)\n",
      "('1770', 3, 11, Decimal('13.67'), 9834)\n",
      "('1800', 25, 15, Decimal('13.67'), 9864)\n",
      "('1830', -8, -9, Decimal('13.67'), 9894)\n",
      "('1860', 5, -12, Decimal('13.67'), 9924)\n",
      "('1890', 40, 60, Decimal('13.67'), 9954)\n",
      "('1920', 0, 0, Decimal('13.67'), 9984)\n",
      "('1950', 2, -3, Decimal('13.67'), 10014)\n",
      "('1980', 2, -10, Decimal('13.67'), 10044)\n",
      "('2010', -12, -23, Decimal('13.67'), 10074)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('30', -2, -4, Decimal('13.67'), 8094)\n",
      "('60', -3, -11, Decimal('13.67'), 8124)\n",
      "('90', -6, -33, Decimal('13.67'), 8154)\n",
      "('120', -1, -1, Decimal('13.67'), 8184)\n",
      "('150', 32, 54, Decimal('13.67'), 8214)\n",
      "('180', 37, 47, Decimal('13.67'), 8244)\n",
      "('210', 6, -5, Decimal('13.67'), 8274)\n",
      "('240', 22, 9, Decimal('13.67'), 8304)\n",
      "('270', 37, 7, Decimal('13.67'), 8334)\n",
      "('300', -2, 0, Decimal('13.67'), 8364)\n",
      "('330', 10, 28, Decimal('13.67'), 8394)\n",
      "('360', 23, 56, Decimal('13.67'), 8424)\n",
      "('390', -4, -3, Decimal('13.67'), 8454)\n",
      "('420', -2, 2, Decimal('13.67'), 8484)\n",
      "('450', 31, 31, Decimal('13.67'), 8514)\n",
      "('480', -5, -1, Decimal('13.67'), 8544)\n",
      "('510', 1, -7, Decimal('13.67'), 8574)\n",
      "('540', 41, 63, Decimal('13.67'), 8604)\n",
      "('570', 9, 22, Decimal('13.67'), 8634)\n",
      "('600', 1, -5, Decimal('13.67'), 8664)\n",
      "('630', -4, -7, Decimal('13.67'), 8694)\n",
      "('660', -18, -22, Decimal('13.67'), 8724)\n",
      "('690', 1, -1, Decimal('13.67'), 8754)\n",
      "('720', -10, -1, Decimal('13.67'), 8784)\n",
      "('750', -18, -22, Decimal('13.67'), 8814)\n",
      "('780', -8, -3, Decimal('13.67'), 8844)\n",
      "('810', 22, 18, Decimal('13.67'), 8874)\n",
      "('840', 44, 23, Decimal('13.67'), 8904)\n",
      "('870', 0, -5, Decimal('13.67'), 8934)\n",
      "('900', 6, -5, Decimal('13.67'), 8964)\n",
      "('930', 57, 60, Decimal('13.67'), 8994)\n",
      "('960', 6, -1, Decimal('13.67'), 9024)\n",
      "('990', -7, -6, Decimal('13.67'), 9054)\n",
      "('1020', 12, 45, Decimal('13.67'), 9084)\n",
      "('1050', 5, 9, Decimal('13.67'), 9114)\n",
      "('1080', -6, -7, Decimal('13.67'), 9144)\n",
      "('1110', 9, 23, Decimal('13.67'), 9174)\n",
      "('1140', 10, 11, Decimal('13.67'), 9204)\n",
      "('1170', -4, -1, Decimal('13.67'), 9234)\n",
      "('1200', 19, 20, Decimal('13.67'), 9264)\n",
      "('1230', 19, 35, Decimal('13.67'), 9294)\n",
      "('1260', 2, -1, Decimal('13.67'), 9324)\n",
      "('1290', 4, -2, Decimal('13.67'), 9354)\n",
      "('1320', -8, -16, Decimal('13.67'), 9384)\n",
      "('1350', -4, -2, Decimal('13.67'), 9414)\n",
      "('1380', -7, -7, Decimal('13.67'), 9444)\n",
      "('1410', -5, -9, Decimal('13.67'), 9474)\n",
      "('1440', -12, 0, Decimal('13.67'), 9504)\n",
      "('1470', 6, -3, Decimal('13.67'), 9534)\n",
      "('1500', 47, 56, Decimal('13.67'), 9564)\n",
      "('1530', 21, -11, Decimal('13.67'), 9594)\n",
      "('1560', 3, -8, Decimal('13.67'), 9624)\n",
      "('1590', 42, 18, Decimal('13.67'), 9654)\n",
      "('1620', 35, 15, Decimal('13.67'), 9684)\n",
      "('1650', 5, -5, Decimal('13.67'), 9714)\n",
      "('1680', 1, 27, Decimal('13.67'), 9744)\n",
      "('1710', 13, 17, Decimal('13.67'), 9774)\n",
      "('1740', -3, -6, Decimal('13.67'), 9804)\n",
      "('1770', 3, 11, Decimal('13.67'), 9834)\n",
      "('1800', 25, 15, Decimal('13.67'), 9864)\n",
      "('1830', -8, -9, Decimal('13.67'), 9894)\n",
      "('1860', 5, -12, Decimal('13.67'), 9924)\n",
      "('1890', 40, 60, Decimal('13.67'), 9954)\n",
      "('1920', 0, 0, Decimal('13.67'), 9984)\n",
      "('1950', 2, -3, Decimal('13.67'), 10014)\n",
      "('1980', 2, -10, Decimal('13.67'), 10044)\n",
      "('2010', -12, -23, Decimal('13.67'), 10074)\n",
      "('0', -19, -3, Decimal('13.67'), 8064)\n",
      "('30', -2, -4, Decimal('13.67'), 8094)\n",
      "('60', -3, -11, Decimal('13.67'), 8124)\n",
      "('90', -6, -33, Decimal('13.67'), 8154)\n",
      "('120', -1, -1, Decimal('13.67'), 8184)\n",
      "('150', 32, 54, Decimal('13.67'), 8214)\n",
      "('180', 37, 47, Decimal('13.67'), 8244)\n",
      "('210', 6, -5, Decimal('13.67'), 8274)\n",
      "('240', 22, 9, Decimal('13.67'), 8304)\n",
      "('270', 37, 7, Decimal('13.67'), 8334)\n",
      "('300', -2, 0, Decimal('13.67'), 8364)\n",
      "('330', 10, 28, Decimal('13.67'), 8394)\n",
      "('360', 23, 56, Decimal('13.67'), 8424)\n",
      "('390', -4, -3, Decimal('13.67'), 8454)\n",
      "('420', -2, 2, Decimal('13.67'), 8484)\n",
      "('450', 31, 31, Decimal('13.67'), 8514)\n",
      "('480', -5, -1, Decimal('13.67'), 8544)\n",
      "('510', 1, -7, Decimal('13.67'), 8574)\n",
      "('540', 41, 63, Decimal('13.67'), 8604)\n",
      "('570', 9, 22, Decimal('13.67'), 8634)\n",
      "('600', 1, -5, Decimal('13.67'), 8664)\n",
      "('630', -4, -7, Decimal('13.67'), 8694)\n",
      "('660', -18, -22, Decimal('13.67'), 8724)\n",
      "('690', 1, -1, Decimal('13.67'), 8754)\n",
      "('720', -10, -1, Decimal('13.67'), 8784)\n",
      "('750', -18, -22, Decimal('13.67'), 8814)\n",
      "('780', -8, -3, Decimal('13.67'), 8844)\n",
      "('810', 22, 18, Decimal('13.67'), 8874)\n",
      "('840', 44, 23, Decimal('13.67'), 8904)\n",
      "('870', 0, -5, Decimal('13.67'), 8934)\n",
      "('900', 6, -5, Decimal('13.67'), 8964)\n",
      "('930', 57, 60, Decimal('13.67'), 8994)\n",
      "('960', 6, -1, Decimal('13.67'), 9024)\n",
      "('990', -7, -6, Decimal('13.67'), 9054)\n",
      "('1020', 12, 45, Decimal('13.67'), 9084)\n",
      "('1050', 5, 9, Decimal('13.67'), 9114)\n",
      "('1080', -6, -7, Decimal('13.67'), 9144)\n",
      "('1110', 9, 23, Decimal('13.67'), 9174)\n",
      "('1140', 10, 11, Decimal('13.67'), 9204)\n",
      "('1170', -4, -1, Decimal('13.67'), 9234)\n",
      "('1200', 19, 20, Decimal('13.67'), 9264)\n",
      "('1230', 19, 35, Decimal('13.67'), 9294)\n",
      "('1260', 2, -1, Decimal('13.67'), 9324)\n",
      "('1290', 4, -2, Decimal('13.67'), 9354)\n",
      "('1320', -8, -16, Decimal('13.67'), 9384)\n",
      "('1350', -4, -2, Decimal('13.67'), 9414)\n",
      "('1380', -7, -7, Decimal('13.67'), 9444)\n",
      "('1410', -5, -9, Decimal('13.67'), 9474)\n",
      "('1440', -12, 0, Decimal('13.67'), 9504)\n",
      "('1470', 6, -3, Decimal('13.67'), 9534)\n",
      "('1500', 47, 56, Decimal('13.67'), 9564)\n",
      "('1530', 21, -11, Decimal('13.67'), 9594)\n",
      "('1560', 3, -8, Decimal('13.67'), 9624)\n",
      "('1590', 42, 18, Decimal('13.67'), 9654)\n",
      "('1620', 35, 15, Decimal('13.67'), 9684)\n",
      "('1650', 5, -5, Decimal('13.67'), 9714)\n",
      "('1680', 1, 27, Decimal('13.67'), 9744)\n",
      "('1710', 13, 17, Decimal('13.67'), 9774)\n",
      "('1740', -3, -6, Decimal('13.67'), 9804)\n",
      "('1770', 3, 11, Decimal('13.67'), 9834)\n",
      "('1800', 25, 15, Decimal('13.67'), 9864)\n",
      "('1830', -8, -9, Decimal('13.67'), 9894)\n",
      "('1860', 5, -12, Decimal('13.67'), 9924)\n",
      "('1890', 40, 60, Decimal('13.67'), 9954)\n",
      "('1920', 0, 0, Decimal('13.67'), 9984)\n",
      "('1950', 2, -3, Decimal('13.67'), 10014)\n",
      "('1980', 2, -10, Decimal('13.67'), 10044)\n",
      "('2010', -12, -23, Decimal('13.67'), 10074)\n"
     ]
    }
   ],
   "source": [
    "import mysql.connector\n",
    "\n",
    "connection = mysql.connector.connect(host='***',\n",
    "                                     port='***',\n",
    "                                     user='***',\n",
    "                                     password='***') \n",
    "\n",
    "cursor = connection.cursor()\n",
    "\n",
    "#create database\n",
    "#cursor.execute(\"CREATE DATABASE `crowd_fore`;\")\n",
    "\n",
    "#get all name of database\n",
    "# cursor.execute(\"SHOW DATABASES;\")\n",
    "# records = cursor.fetchall()\n",
    "# for r in records:\n",
    "#     print(r)\n",
    "\n",
    "# use database\n",
    "cursor.execute(\"USE `crowd_fore`;\")\n",
    "\n",
    "# create table\n",
    "#cursor.execute(\"CREATE TABLE `forecast`(TID VARCHAR(14) , PD INT , GT INT , RMSE DECIMAL(4,2) , TP INT)\")\n",
    "\n",
    "# # 執行 SQL 查詢\n",
    "# cursor.execute(\"SELECT * FROM forecast;\")  # 假設你的資料表名稱是 forecast\n",
    "\n",
    "# # 取得查詢結果\n",
    "# result = cursor.fetchall()\n",
    "\n",
    "# 將預測結果、真實值、RMSE 和時間點存入資料庫\n",
    "for i in range(len(test)):\n",
    "    if i % 30 == 0:\n",
    "        TID = i  # 取得當前的 timestamp\n",
    "        PD = float(predictions[i])  # 將 numpy.float64 轉換成 float\n",
    "        GT = float(test[i])  # 將 numpy.float64 轉換成 float\n",
    "        TP = int(len(train) + i)  # 將 numpy.int64 轉換成 int\n",
    "        RMSE = float(sqrt(mean_squared_error(test, predictions[:len(test)])))  # 將 numpy.float64 轉換成 float\n",
    "\n",
    "        # 建立插入資料的 SQL 查詢\n",
    "        sql = \"INSERT INTO forecast (TID, PD, GT, RMSE, TP) VALUES (%s, %s, %s, %s, %s);\"\n",
    "        values = (TID, PD, GT, RMSE, TP)\n",
    "\n",
    "        # 執行插入資料\n",
    "        cursor.execute(sql, values)\n",
    "        connection.commit()\n",
    "\n",
    "# 執行 SQL 查詢來取得資料表的標題\n",
    "cursor.execute(\"DESCRIBE forecast;\")  # 假設你的資料表名稱是 forecast\n",
    "\n",
    "# 取得查詢結果，即欄位名稱\n",
    "columns = [column[0] for column in cursor.fetchall()]\n",
    "\n",
    "# 印出標題\n",
    "print(\"資料表標題：\")\n",
    "print(columns)\n",
    "\n",
    "# 執行 SQL 查詢來取得資料表內容\n",
    "cursor.execute(\"SELECT * FROM forecast;\")\n",
    "\n",
    "# 取得查詢結果，即資料表內容\n",
    "data = cursor.fetchall()\n",
    "\n",
    "# 印出內容\n",
    "print(\"資料表內容：\")\n",
    "for row in data:\n",
    "    print(row)\n",
    "    \n",
    "#close the database and disconnection with mysql\n",
    "cursor.close()\n",
    "connection.close()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.8.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}