{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5cf2b3d-0f34-4d13-9ba3-dd2e3fb66337",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot 2D PDFs at four stations to compare: T, V, q, WDA, R3H\n",
    "\n",
    "from docx import Document\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as mticker\n",
    "from itertools import chain\n",
    "from matplotlib.colors import LinearSegmentedColormap, Normalize\n",
    "import matplotlib.colors as mcolors\n",
    "from matplotlib.colors import BoundaryNorm\n",
    "import cmocean\n",
    "\n",
    "y_labs = ['T (˚C)', 'V (m/s)', 'q (g/kg)', 'WDA (degree)', 'Rain (mm/3hrs)'] \n",
    "x_labs = \"Local Time\"\n",
    "labs = ['(a)', '(b)', '(c)', '(d)', '(e)', '(f)', '(g)', '(h)', '(i)', '(j)', '(k)', '(l)', '(m)', '(n)', '(o)', '(p)',\n",
    "    '(q)', '(r)']\n",
    "\n",
    "cmap = LinearSegmentedColormap.from_list(\"white_to_dark\", [\"white\", \"black\"])\n",
    "norm = BoundaryNorm([0, 1, np.inf], ncolors=cmap.N, clip=True)\n",
    "\n",
    "count_std = np.zeros(6) \n",
    "\n",
    "y1 = [20, 0,  13,   0,  0]\n",
    "y2 = [25, 10, 25, 360, 30]\n",
    "yd = [1, 2, 3, 60, 5]\n",
    "\n",
    "vsh = ['T', 'V', 'q', 'WDA', 'R3h']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "51ce5ba3-dcbb-4870-a512-b2c338c0e4f1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster1_T.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster1_V.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster1_q.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster1_WDA.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster1_R3h.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster2_T.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster2_V.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster2_q.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster2_WDA.npz\n",
      "/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster2_R3h.npz\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x1200 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot four stations with different daily rainfall peak times\n",
    "\n",
    "cid = [1, 2]\n",
    "\n",
    "nr = 5\n",
    "nc = 2\n",
    "\n",
    "fig, axs = plt.subplots(nrows=nr, ncols=nc, figsize=(6, 12), layout=\"constrained\")\n",
    "axs_flat = axs.flatten()\n",
    "\n",
    "xbins = np.arange(0, 25, 1)     # hourly bins \n",
    "\n",
    "HC = np.zeros((24, 24))\n",
    "HCR = np.zeros((8, 24))\n",
    "\n",
    "vmin = 0\n",
    "vmax = 30\n",
    "\n",
    "# looo through clusters\n",
    "\n",
    "ncl = 0  #column\n",
    "for cn in cid:\n",
    "    k = cn\n",
    "    \n",
    "# loop through variables\n",
    "    nv = 0\n",
    "    \n",
    "    for v in vsh:\n",
    "        \n",
    "        data_in_path = f\"/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_clusters2/pdf2d_data_cluster{k}_{v}.npz\"\n",
    "        print(data_in_path)\n",
    "        \n",
    "        datain = np.load(data_in_path)\n",
    "        \n",
    "        ylimit1 = y1[nv]\n",
    "        ylimit2 = y2[nv]\n",
    "        dy = (ylimit2-ylimit1)/25\n",
    "        ybins = np.arange(ylimit1, ylimit2, dy)\n",
    "        \n",
    "        row = nv \n",
    "        nlab = ncl + row*nc\n",
    "    \n",
    "        axs[row, ncl].set_xlim(0, 24)\n",
    "        axs[row, ncl].set_xticks(np.arange(0, 25, 6))\n",
    "        \n",
    "        xedges = datain[\"xedges\"]\n",
    "        yedges = datain[\"yedges\"]\n",
    "\n",
    "        P = datain['H']\n",
    "        \n",
    "        if v == 'R3h':\n",
    "            xbins = np.arange(0, 25, 3)     # 3 hourly bins \n",
    "\n",
    "        if v!= 'R3h':\n",
    "            xbins = np.arange(0, 25, 1)     # hourly bins \n",
    "            \n",
    "        im = axs[row, ncl].pcolormesh(xbins, ybins, P.T, cmap=cmap, vmin = vmin, vmax = vmax)\n",
    "                 \n",
    "#    plt.colorbar(label=\"Counts\")\n",
    "        if ncl == 0:\n",
    "            axs[row, ncl].set_ylabel(y_labs[nv])\n",
    "        axs[row, ncl].set_ylim(ylimit1, ylimit2)\n",
    "        axs[row, ncl].set_yticks(np.arange(ylimit1, ylimit2, yd[nv]))\n",
    "        axs[row, ncl].set_title(labs[nlab], fontsize=10, loc='left')\n",
    "        \n",
    "        #    print(nv, mv, xlimit1, xlimit2, x_labs[nv])\n",
    "        \n",
    "        H = 0\n",
    "        nv = nv + 1\n",
    "    \n",
    "\n",
    "    axs[row, ncl].set_xlabel(x_labs)\n",
    "        \n",
    "    ncl = ncl + 1  \n",
    "    datain = 0\n",
    "    \n",
    "cbar = fig.colorbar(im, ax=axs, orientation='horizontal', location='bottom',\n",
    "                    pad=0.01, shrink=0.6, aspect=40)\n",
    "cbar.set_label('%', fontsize=12)\n",
    "\n",
    "fig_path = f\"/Users/cdz/Desktop/Khafid_etal/Manuscript/2Dpdf_2clusters.png\"\n",
    "fig.savefig(fig_path)   \n",
    "plt.show()\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3b591d73-48c8-47c8-a240-f6b31fc37678",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "55109.0 58196.0 -3087.0\n"
     ]
    }
   ],
   "source": [
    "print(H1.sum(), H2.sum(), H1.sum()- H2.sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ffe99be5-daad-4bb0-a337-fc7e447f5f86",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
