{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e59aae71",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 3746526, area = 14388.8 arcmin^2 (3.997 deg^2), density = 260.38 /arcmin^2\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import fitsio\n",
    "import numpy as np\n",
    "import pyarrow.parquet as pq\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# flagship_cosmos.fits -- area from RA/Dec bounding box with cos(dec) factor\n",
    "# (matches Flagship2025Catalog._compute_density in xlens/simulator/galaxies.py)\n",
    "d = fitsio.read('flagship_cosmos.fits', columns=['ra_gal', 'dec_gal'])\n",
    "ra, dec = d['ra_gal'], d['dec_gal']\n",
    "ra_range = ra.max() - ra.min()\n",
    "dec_range = dec.max() - dec.min()\n",
    "cos_dec = np.cos(np.radians(np.mean(dec)))\n",
    "area_arcmin2 = ra_range * cos_dec * dec_range * 3600.0\n",
    "density = len(d) / area_arcmin2\n",
    "print(f'N = {len(d)}, area = {area_arcmin2:.1f} arcmin^2 ({area_arcmin2/3600:.3f} deg^2), '\n",
    "      f'density = {density:.2f} /arcmin^2')\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 6))\n",
    "ax.scatter(ra, dec, s=1, alpha=0.3)\n",
    "ax.set_xlabel('RA [deg]')\n",
    "ax.set_ylabel('Dec [deg]')\n",
    "ax.set_title(f'flagship_cosmos.fits  ({density:.2f} /arcmin$^2$)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f65e5655",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 3965439, area = 11309.4 arcmin^2 (3.142 deg^2), density = 350.63 /arcmin^2\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# diffsky_arr.parquet -- area of a 1-deg-radius cone\n",
    "# (matches DiffskyCatalog._compute_density in xlens/simulator/galaxies.py)\n",
    "d = pq.read_table('diffsky_arr.parquet', columns=['ra', 'dec']).to_pandas()\n",
    "area_arcmin2 = 2*np.pi * (1 - np.cos(np.radians(1))) * (180*60/np.pi)**2\n",
    "density = len(d) / area_arcmin2\n",
    "print(f'N = {len(d)}, area = {area_arcmin2:.1f} arcmin^2 ({area_arcmin2/3600:.3f} deg^2), '\n",
    "      f'density = {density:.2f} /arcmin^2')\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 6))\n",
    "ax.scatter(d['ra'], d['dec'], s=1, alpha=0.3)\n",
    "ax.set_xlabel('RA [deg]')\n",
    "ax.set_ylabel('Dec [deg]')\n",
    "ax.set_title(f'diffsky_arr.parquet  ({density:.2f} /arcmin$^2$)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "39e7b30e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 858502, area = 3600.0 arcmin^2 (1.000 deg^2), density = 238.47 /arcmin^2\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# OneDegSq.fits -- 1 deg^2 = 3600 arcmin^2 by convention\n",
    "# (matches CatSim2017Catalog._compute_density in xlens/simulator/galaxies.py;\n",
    "#  the in-file ra/dec are placeholders that wrap around ra=0, so we shift\n",
    "#  ra>180 to negative values to display the field as [-0.5, 0.5] in RA.)\n",
    "d = fitsio.read('OneDegSq.fits', columns=['ra', 'dec'])\n",
    "area_arcmin2 = 60.0 * 60.0\n",
    "density = len(d) / area_arcmin2\n",
    "print(f'N = {len(d)}, area = {area_arcmin2:.1f} arcmin^2 (1.000 deg^2), '\n",
    "      f'density = {density:.2f} /arcmin^2')\n",
    "\n",
    "ra = np.where(d['ra'] > 180.0, d['ra'] - 360.0, d['ra'])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 6))\n",
    "ax.scatter(ra, d['dec'], s=1, alpha=0.3)\n",
    "ax.set_xlabel('RA [deg]')\n",
    "ax.set_ylabel('Dec [deg]')\n",
    "ax.set_title(f'OneDegSq.fits  ({density:.2f} /arcmin$^2$)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b6811815",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1300x800 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 6-panel histograms of LSST ugrizy magnitudes for the three catalogs.\n",
    "# y-axis is surface number density: counts / area_arcmin^2 in each mag bin.\n",
    "# Column conventions (cf. xlens/simulator/galaxies.py):\n",
    "#   OneDegSq.fits           -> {band}_ab\n",
    "#   flagship_cosmos.fits    -> lsst_{band}\n",
    "#   diffsky_arr.parquet     -> lsst_{band}_{disk,bulge}; total mag from\n",
    "#                              summed disk+bulge flux\n",
    "bands = ['u', 'g', 'r', 'i', 'z', 'y']\n",
    "\n",
    "onedeg = fitsio.read('OneDegSq.fits', columns=[f'{b}_ab' for b in bands])\n",
    "flagship = fitsio.read(\n",
    "    'flagship_cosmos.fits',\n",
    "    columns=[f'lsst_{b}' for b in bands] + ['ra_gal', 'dec_gal'],\n",
    ")\n",
    "diff = pq.read_table(\n",
    "    'diffsky_arr.parquet',\n",
    "    columns=[f'lsst_{b}_{c}' for b in bands for c in ('disk', 'bulge')],\n",
    ").to_pandas()\n",
    "\n",
    "# areas in arcmin^2 (same formulas as the density cells above)\n",
    "area_onedeg = 60.0 * 60.0\n",
    "ra_f, dec_f = flagship['ra_gal'], flagship['dec_gal']\n",
    "area_flagship = (\n",
    "    (ra_f.max() - ra_f.min())\n",
    "    * np.cos(np.radians(np.mean(dec_f)))\n",
    "    * (dec_f.max() - dec_f.min())\n",
    "    * 3600.0\n",
    ")\n",
    "area_diff = 2 * np.pi * (1 - np.cos(np.radians(1))) * (180 * 60 / np.pi) ** 2\n",
    "\n",
    "\n",
    "def total_mag(disk_mag, bulge_mag):\n",
    "    flux = 10 ** (-disk_mag / 2.5) + 10 ** (-bulge_mag / 2.5)\n",
    "    return -2.5 * np.log10(flux)\n",
    "\n",
    "\n",
    "fig, axes = plt.subplots(2, 3, figsize=(13, 8), sharey=True)\n",
    "bins = np.linspace(15, 32, 80)\n",
    "for ax, b in zip(axes.ravel(), bands):\n",
    "    mags_diff = total_mag(\n",
    "        diff[f'lsst_{b}_disk'].values, diff[f'lsst_{b}_bulge'].values\n",
    "    )\n",
    "    m_one = onedeg[f'{b}_ab']\n",
    "    m_fla = flagship[f'lsst_{b}']\n",
    "    ax.hist(m_one, bins=bins, histtype='step', alpha=0.7,\n",
    "            weights=np.full_like(m_one, 1.0 / area_onedeg, dtype=float),\n",
    "            label='DC1')\n",
    "    ax.hist(m_fla, bins=bins, histtype='step', alpha=0.7,\n",
    "            weights=np.full_like(m_fla, 1.0 / area_flagship, dtype=float),\n",
    "            label='Flagship')\n",
    "    ax.hist(mags_diff, bins=bins, histtype='step', alpha=0.7,\n",
    "            weights=np.full_like(mags_diff, 1.0 / area_diff, dtype=float),\n",
    "            label='Diffsky')\n",
    "    ax.set_xlabel(f'LSST {b} [mag]')\n",
    "    ax.set_title(f'{b} band')\n",
    "    ax.set_yscale('log')\n",
    "axes[0, 0].set_ylabel(r'counts / arcmin$^2$')\n",
    "axes[1, 0].set_ylabel(r'counts / arcmin$^2$')\n",
    "axes[0, 0].legend(loc='upper left', fontsize=12)\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  }
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