F17-A6-corotating pairs.ipynb

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   "source": [
    "import numpy as np\n",
    "from myplotstyle import plt, get_figsize\n",
    "\n",
    "from easyquery import Query, QueryMaker\n",
    "import SAGA\n",
    "from SAGA import ObjectCuts as C\n",
    "from SAGA import HostCuts as H\n",
    "\n",
    "from itertools import combinations\n",
    "from astropy.table import Table\n",
    "from astropy.coordinates import SkyCoord\n",
    "from SAGA.utils import add_skycoord, binned_percentile\n",
    "from SAGA.utils.distance import z2v\n",
    "import bottleneck as bn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2024-07-25T01:36:47.082731Z"
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   "outputs": [],
   "source": [
    "from fast_histogram import histogram1d\n",
    "\n",
    "def myhistogram(a, bins=10, range=None, density=None, weights=None, use_numpy=False):\n",
    "    if not use_numpy:\n",
    "        if range is None and not isinstance(bins, int):\n",
    "            range = (bins[0], bins[-1])\n",
    "            bins = len(bins) - 1\n",
    "        try:\n",
    "            h = histogram1d(a, bins, range, weights)\n",
    "        except TypeError:\n",
    "            pass\n",
    "        else:\n",
    "            return (h / len(a),) if density else (h,)\n",
    "    return np.histogram(a, bins, range, density, weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.0.0\n",
      "SAGA `shared_dir` set to /home/yymao/Dropbox/Work/SAGA\n",
      "SAGA `local_dir`  set to /home/yymao/Documents/Work/Data/SAGA\n"
     ]
    }
   ],
   "source": [
    "print(SAGA.__version__)\n",
    "saga = SAGA.QuickStart()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2024-07-25T01:36:47.771911Z"
    }
   },
   "outputs": [],
   "source": [
    "hosts = saga.host_catalog.load(query=\"paper3\", include_stats=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2024-07-25T01:36:52.494987Z"
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   },
   "outputs": [],
   "source": [
    "base = H.paper3.filter(saga.object_catalog.load_combined_base_catalog())\n",
    "nhosts = len(np.unique(base[\"HOSTID\"]))\n",
    "assert nhosts == 101"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "378\n"
     ]
    }
   ],
   "source": [
    "sats = C.is_sat.filter(base)\n",
    "sats = add_skycoord(sats)\n",
    "sats[\"index\"] = np.arange(len(sats))\n",
    "del base\n",
    "print(len(sats))"
   ]
  },
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   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
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    }
   },
   "outputs": [],
   "source": [
    "sdss_x = np.linspace(0, 180, 19)[:-1] + 5\n",
    "sdss_y = np.array([0.64268367, 0.44155338, 0.4841401 , 0.4633828 , 0.4685856 ,\n",
    "       0.58841093, 0.54086203, 0.64018368, 0.48222288, 0.51515562,\n",
    "       0.52488057, 0.55817479, 0.51704362, 0.47159272, 0.44232658,\n",
    "       0.47630996, 0.58469492, 0.49163754])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
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   "outputs": [],
   "source": [
    "_X = []\n",
    "for sats_this in sats[[\"HOSTID\", \"index\"]].group_by('HOSTID').groups:\n",
    "    if len(sats_this) < 2:\n",
    "        continue\n",
    "    for i, j in combinations(range(len(sats_this)), 2):\n",
    "        _X.append((sats_this[\"index\"][i], sats_this[\"index\"][j]))\n",
    "\n",
    "pairs = Table(np.array(_X, dtype=np.dtype([('idx1', np.int64), ('idx2', np.int64)])))\n",
    "del sats_this, _X\n",
    "\n",
    "assert (sats[\"HOSTID\"][pairs[\"idx1\"]] == sats[\"HOSTID\"][pairs[\"idx2\"]]).all()\n",
    "assert (sats[\"OBJID\"][pairs[\"idx1\"]] != sats[\"OBJID\"][pairs[\"idx2\"]]).all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2024-07-25T01:36:52.725765Z"
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   },
   "outputs": [],
   "source": [
    "from scipy.stats import norm\n",
    "\n",
    "def calc_same_sign_prob(v1, v2, verr=1):\n",
    "    a = norm.sf(v1, scale=verr)\n",
    "    b = norm.sf(v2, scale=verr)\n",
    "    return a * b + (1-a) * (1-b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2024-07-25T01:36:52.732635Z"
    }
   },
   "outputs": [],
   "source": [
    "pairs[\"HOSTID\"] = sats[\"HOSTID\"][pairs[\"idx1\"]]\n",
    "_host_coord = SkyCoord(sats['HOST_RA'][pairs[\"idx1\"]], sats['HOST_DEC'][pairs[\"idx1\"]], unit=\"deg\")\n",
    "\n",
    "pairs[\"dv1\"] = z2v(sats['SPEC_Z'][pairs[\"idx1\"]]) - sats['HOST_VHOST'][pairs[\"idx1\"]]\n",
    "pairs[\"dv2\"] = z2v(sats['SPEC_Z'][pairs[\"idx2\"]]) - sats['HOST_VHOST'][pairs[\"idx2\"]]\n",
    "pairs[\"dv\"] = np.abs(pairs[\"dv1\"] - pairs[\"dv2\"])\n",
    "pairs[\"same_sign_prob\"] = calc_same_sign_prob(pairs[\"dv1\"], pairs[\"dv2\"], 60.)\n",
    "\n",
    "pairs[\"d1\"] = sats['RHOST_KPC'][pairs[\"idx1\"]]\n",
    "pairs[\"d2\"] = sats['RHOST_KPC'][pairs[\"idx2\"]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
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   },
   "outputs": [],
   "source": [
    "def add_pa(pairs, random=False):\n",
    "    pairs = pairs.copy()\n",
    "    if not random:\n",
    "        pairs[\"pa1\"] = sats[\"coord\"][pairs[\"idx1\"]].position_angle(_host_coord).degree\n",
    "        pairs[\"pa2\"] = sats[\"coord\"][pairs[\"idx2\"]].position_angle(_host_coord).degree\n",
    "    else:\n",
    "        n_max = max(pairs[\"idx1\"].max(), pairs[\"idx2\"].max()) + 1\n",
    "        pa = np.random.RandomState(random).rand(n_max) if isinstance(random, int) else np.random.rand(n_max)\n",
    "        pa *= 360.0\n",
    "        pairs[\"pa1\"] = pa[pairs[\"idx1\"]]\n",
    "        pairs[\"pa2\"] = pa[pairs[\"idx2\"]]\n",
    "\n",
    "    pairs[\"dpa\"] = np.abs(pairs[\"pa1\"] - pairs[\"pa2\"])\n",
    "    pairs[\"opening_angle\"] = np.where(pairs[\"dpa\"] < 180, 180-pairs[\"dpa\"], pairs[\"dpa\"]-180)\n",
    "    pairs[\"corotating_prob\"] = np.where(pairs[\"opening_angle\"] < 90, 1-pairs[\"same_sign_prob\"], pairs[\"same_sign_prob\"])\n",
    "    pairs[\"corotating\"] = pairs[\"corotating_prob\"] >= 0.5\n",
    "\n",
    "    _x1 = pairs[\"d1\"] * np.cos(np.deg2rad(pairs[\"pa1\"]))\n",
    "    _y1 = pairs[\"d1\"] * np.sin(np.deg2rad(pairs[\"pa1\"]))\n",
    "    _x2 = pairs[\"d2\"] * np.cos(np.deg2rad(pairs[\"pa2\"]))\n",
    "    _y2 = pairs[\"d2\"] * np.sin(np.deg2rad(pairs[\"pa2\"]))\n",
    "    pairs[\"d_center\"] = np.hypot((_x1 + _x2) * 0.5, (_y1 + _y2) * 0.5)\n",
    "    pairs[\"sep\"] = np.hypot((_x1 - _x2), (_y1 - _y2))\n",
    "\n",
    "    return pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "578\n",
      "126\n",
      "257\n"
     ]
    }
   ],
   "source": [
    "dv_cut = Query('abs(dv1) > 25', 'abs(dv2) > 25')\n",
    "#dv_cut = Query('corotating_prob > 0.6666') | Query('corotating_prob < 0.3333')\n",
    "radius_cut = Query(\"d1 < 150\", \"d2 < 150\")\n",
    "\n",
    "pairs = add_pa(pairs)\n",
    "print(dv_cut.count(pairs))\n",
    "print((dv_cut & radius_cut).count(pairs))\n",
    "print((~dv_cut).count(pairs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2024-07-25T01:37:10.223927Z"
    }
   },
   "outputs": [],
   "source": [
    "p_rand = []\n",
    "p_inner_rand = []\n",
    "hist_rand = []\n",
    "hist_inner_rand = []\n",
    "hist_sep_rand = []\n",
    "hist_sep_so_rand = []\n",
    "dv_rand = []\n",
    "\n",
    "bins = np.linspace(0, 180, 11)\n",
    "sbins = np.linspace(0, 320, 9)\n",
    "\n",
    "for i in range(5000):\n",
    "    pairs = add_pa(pairs, random=i)\n",
    "\n",
    "    hist_co = myhistogram(Query('corotating', dv_cut).filter(pairs, 'opening_angle'), bins)[0]\n",
    "    hist_all = myhistogram(dv_cut.filter(pairs, 'opening_angle'), bins)[0]\n",
    "    hist_co_inner = myhistogram(Query('corotating', dv_cut, radius_cut).filter(pairs, 'opening_angle'), bins)[0]\n",
    "    hist_all_inner = myhistogram(Query(dv_cut, radius_cut).filter(pairs, 'opening_angle'), bins)[0]\n",
    "\n",
    "    p_rand.append(hist_co/hist_all)\n",
    "    p_inner_rand.append(hist_co_inner/hist_all_inner)\n",
    "    hist_rand.append(hist_all)\n",
    "    hist_inner_rand.append(hist_all_inner)\n",
    "\n",
    "    hist_sep_rand.append(myhistogram(pairs['sep'], sbins)[0])\n",
    "    hist_sep_so_rand.append(myhistogram(Query(\"opening_angle > 162\", dv_cut).filter(pairs, 'sep'), sbins)[0])\n",
    "\n",
    "    dv_rand.append(binned_percentile(pairs['sep'], pairs[\"dv\"], bins=sbins, percentiles=[50, 16, 84])[2])"
   ]
  },
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   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:51: SyntaxWarning: invalid escape sequence '\\c'\n",
      "<>:51: SyntaxWarning: invalid escape sequence '\\c'\n",
      "/tmp/ipykernel_13297/216044492.py:51: SyntaxWarning: invalid escape sequence '\\c'\n",
      "  ax[1,0].set_xlabel('Opening angle ($180^\\circ - \\Delta \\phi$ ) [deg]');\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1160x1160 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs = add_pa(pairs)\n",
    "\n",
    "fig, ax = plt.subplots(2, 1, figsize=get_figsize(wide=False, ratio=1), height_ratios=(3,1))\n",
    "ax = np.array([[ax[0], None], [ax[1], None]])\n",
    "fig.set_constrained_layout_pads(hspace=0, h_pad=0)\n",
    "\n",
    "ye = bn.nanstd(p_rand, axis=0).mean()\n",
    "ax[0,0].axhspan(0.5-ye, 0.5+ye, color=\"grey\", alpha=0.2, lw=0)\n",
    "ye = bn.nanstd(p_inner_rand, axis=0).mean()\n",
    "ax[0,0].axhspan(0.5-ye, 0.5+ye, color=\"grey\", alpha=0.2, lw=0)\n",
    "\n",
    "ym = bn.nanmean(hist_rand, axis=0).mean()\n",
    "ye = bn.nanstd(hist_rand, axis=0).mean()\n",
    "ax[1,0].axhspan(ym-ye, ym+ye, color=\"grey\", alpha=0.2, lw=0)\n",
    "\n",
    "ym = bn.nanmean(hist_inner_rand, axis=0).mean()\n",
    "ye = bn.nanstd(hist_inner_rand, axis=0).mean()\n",
    "ax[1,0].axhspan(ym-ye, ym+ye, color=\"grey\", alpha=0.2, lw=0)\n",
    "\n",
    "ax_this = ax[0,0]\n",
    "\n",
    "bins = np.linspace(0, 180, 11)\n",
    "x = (bins[1:]+bins[:-1]) * 0.5\n",
    "\n",
    "hist_co_inner = np.histogram(Query('corotating', dv_cut, radius_cut).filter(pairs, 'opening_angle'), bins)[0]\n",
    "hist_all_inner = ax[1,0].hist(Query(dv_cut, radius_cut).filter(pairs, 'opening_angle'), bins, color=\"C2\", histtype=\"step\")[0]\n",
    "ax[0,0].plot(x, hist_co_inner/hist_all_inner, ls=\"--\", color=\"C2\", marker='s', label=r\"Both $<150\\,$kpc, $|v|>25\\,$km$\\,$s$^{-1}$\");\n",
    "\n",
    "hist_co = np.histogram(Query('corotating', dv_cut).filter(pairs, 'opening_angle'), bins)[0]\n",
    "hist_all = ax[1,0].hist(dv_cut.filter(pairs, 'opening_angle'), bins, histtype=\"step\")[0]\n",
    "ax[0,0].plot(x, hist_co/hist_all, ls=\"-\", color=\"C0\", marker=\"o\", label=r\"Both $<300\\,$kpc, $|v|>25\\,$km$\\,$s$^{-1}$\");\n",
    "\n",
    "#ax[0,0].plot(sdss_x, sdss_y, c=\"C8\", ls=\":\", marker=\"^\", label=\"SDSS (Phillips+ 2015, Fig. 3b)\")\n",
    "\n",
    "ax[0,0].text(3, 1.05, r\"$\\leftarrow$ Opposite side\", va=\"center\")\n",
    "ax[0,0].text(177, 1.05, r\"Same side $\\rightarrow$\", ha=\"right\", va=\"center\")\n",
    "#ax[0,0].plot([],[],  color=\"C3\", marker=\"^\", ls=\":\", label=\"All pairs\")\n",
    "\n",
    "ax[0,0].legend(loc=\"lower left\")\n",
    "ax[0,0].tick_params(axis=\"x\", which=\"both\", direction=\"in\")\n",
    "ax[0,0].set_xlim(0, 180.0);\n",
    "ax[0,0].set_xticks([0,30,60,90,120,150,180], labels=[])\n",
    "ax[0,0].axhline(0.5, c='k', ls='--', lw=0.5);\n",
    "\n",
    "ax[0,0].set_ylabel('Co-rotating fraction')\n",
    "ax[0,0].set_ylim(-0.05, 1.1)\n",
    "ax[0,0].set_yticks([0, 0.2, 0.4, 0.6, 0.8, 1.0]);\n",
    "\n",
    "ax[1,0].set_xlim(0, 180.0);\n",
    "ax[1,0].set_xticks([0,30,60,90,120,150,180])\n",
    "ax[1,0].set_xlabel('Opening angle ($180^\\circ - \\Delta \\phi$ ) [deg]');\n",
    "\n",
    "\n",
    "ax[1,0].set_ylabel('# Pairs')\n",
    "\n",
    "plt.savefig('plots/sat_coroating_pairs.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-07-25T01:37:11.168761Z",
     "iopub.status.busy": "2024-07-25T01:37:11.168526Z",
     "iopub.status.idle": "2024-07-25T01:37:11.750506Z",
     "shell.execute_reply": "2024-07-25T01:37:11.750080Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1160x1160 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs = add_pa(pairs)\n",
    "#pairs_lmc = pairs[np.isin(sats[\"HOSTID\"][pairs[\"idx1\"]], Query(\"most_massive_sat >= 8.5\").filter(hosts, \"HOSTID\"))]\n",
    "\n",
    "fig, ax = plt.subplots(2, 1, figsize=get_figsize(wide=False, ratio=1), height_ratios=(3,1))\n",
    "ax = np.array([[None, ax[0]], [None, ax[1]]])\n",
    "fig.set_constrained_layout_pads(hspace=0, h_pad=0)\n",
    "\n",
    "x = (sbins[1:]+sbins[:-1])*0.5\n",
    "\n",
    "t = Query().filter(pairs)\n",
    "_, count, (y, y1, y2) = binned_percentile(t['sep'], t[\"dv\"], bins=sbins, percentiles=[50, 16, 84])\n",
    "ax[0,1].errorbar(x, y, (y-y1, y2-y), color=\"C3\", marker=\"^\", ls=\":\", elinewidth=0.1, capsize=4)\n",
    "ax[1,1].stairs(count, sbins, color=\"C3\")\n",
    "\n",
    "ym = bn.nanmean(dv_rand, axis=0)\n",
    "ye = bn.nanstd(dv_rand, axis=0)\n",
    "x1 = np.linspace(sbins[0], sbins[-1], len(sbins)*2-1)\n",
    "for i in range(3):\n",
    "    ax[0,1].stairs(ym[i]+ye[i], sbins, baseline=(ym[i]-ye[i]), fill=True, alpha=0.2, color=\"gray\")\n",
    "\n",
    "ym = bn.nanmean(hist_sep_rand, axis=0)\n",
    "ye = bn.nanstd(hist_sep_rand, axis=0)\n",
    "ax[1,1].stairs(ym+ye, sbins, baseline=(ym-ye), fill=True, alpha=0.2, color=\"gray\")\n",
    "\n",
    "ax[0,1].tick_params(axis=\"x\", which=\"both\", direction=\"in\")\n",
    "ax[0,1].set_xticklabels([])\n",
    "ax[0,1].set_xlim(sbins[0], sbins[-1]);\n",
    "ax[0,1].set_ylim(-10, None);\n",
    "ax[1,1].set_xlim(sbins[0], sbins[-1]);\n",
    "\n",
    "ax[1,1].set_xlabel('Projected separation [kpc]')\n",
    "ax[0,1].set_ylabel('$|v_1-v_2|$  [km s$^{-1}$]')\n",
    "ax[1,1].set_ylabel('# Pairs')\n",
    "\n",
    "plt.savefig('plots/sat_close_pairs.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "interpreter": {
   "hash": "e8f055f714c84a7b2ca6cc14eafa9c35ff1c3e99e41802fd6bcf08c79f9102c1"
  },
  "kernelspec": {
   "display_name": "Python 3.9.13 ('base')",
   "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}