jason-neal/eniric

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docs/Notebooks/Split_verse_Weighted_masking.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test masking with clumping verse straight masking\n",
    "#### With both Old and new gradient\n",
    "    \n",
    "In this notebook we assess the change in handling the weighted mask for Condition #2 of Figueria et al 2016.\n",
    "\n",
    "For that paper the spectrum is broken into several small spectra on regions masked telluric lines (>2%).\n",
    "\n",
    "The updated version just applies a boolen mask after pixel weights are calculated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from eniric.atmosphere import Atmosphere\n",
    "from eniric.legacy import mask_clumping, RVprec_calc_masked\n",
    "from scripts.phoenix_precision import convolve_and_resample\n",
    "from eniric.snr_normalization import snr_constant_band\n",
    "from eniric.precision import pixel_weights, rv_precision\n",
    "from eniric.utilities import band_limits, load_aces_spectrum, wav_selector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "wav_, flux_ = load_aces_spectrum([3900, 4.5, 0, 0])\n",
    "# Small section in K bands to experiment with\n",
    "wav, flux = wav_selector(wav_, flux_, 2.1025, 2.1046)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Telluric mask\n",
    "atm_ = Atmosphere.from_band(\"K\", bary=True)\n",
    "\n",
    "atm = atm_.at(wav)\n",
    "mask = atm.mask"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualize the Pixel Weights:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# Number of clumps =  3\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "# Clumping method\n",
    "wclump, fclump = mask_clumping(wav, flux, mask)\n",
    "print(\"# Number of clumps = \", len(wclump))\n",
    "# print(wclump, fclump)\n",
    "\n",
    "print(len(wclump))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "wis_0 = pixel_weights(wav, flux, grad=False)\n",
    "wis_1 = pixel_weights(wav, flux, grad=True)\n",
    "wis_0 *= mask[:-1]\n",
    "wis_1 *= mask\n",
    "\n",
    "wis_0[wis_0 == 0] = np.nan\n",
    "wis_1[wis_1 == 0] = np.nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2715a1db550>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_setting = {\"figsize\": (15, 6)}\n",
    "plt.figure(**plt_setting)\n",
    "plt.plot(wav, flux / np.max(flux), label=\"Star\")\n",
    "plt.plot(atm.wl, atm.transmission, label=\"Telluric\")\n",
    "plt.plot(atm.wl, atm.mask, \"--\", label=\"Mask\")\n",
    "plt.axhline(0.98)\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(**plt_setting)\n",
    "\n",
    "plt.plot(wav[:-1], wis_0, \"bs-\", label=\"Mask Grad False\")\n",
    "plt.plot(wav, wis_1, \"ko--\", label=\"Mask Grad true\")\n",
    "\n",
    "w, f = (wclump[0], fclump[0])\n",
    "wis1 = pixel_weights(w, f, grad=True)\n",
    "wis0 = pixel_weights(w, f, grad=False)\n",
    "\n",
    "plt.plot(w[:-1], wis0 * 1.05, \"g+:\", label=\"Clump, Grad False\")\n",
    "plt.plot(w, wis1 * 1.05, \"r.-.\", label=\"Clump, Grad True\")\n",
    "plt.legend()\n",
    "plt.xlim(wclump[0][0] * 0.99999, wclump[0][-1] * 1.00001)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(**plt_setting)\n",
    "\n",
    "plt.plot(wav[:-1], wis_0, \"bs-\", label=\"grad False\")\n",
    "plt.plot(wav, wis_1, \"ko--\", label=\"grad true\")\n",
    "w, f = (wclump[1], fclump[1])\n",
    "wis1 = pixel_weights(w, f, grad=True)\n",
    "wis0 = pixel_weights(w, f, grad=False)\n",
    "\n",
    "plt.plot(w[:-1], wis0 * 1.05, \"g+:\", label=\"Clump grad False\")\n",
    "plt.plot(w, wis1 * 1.05, \"r.-.\", label=\"Clump grad True\")\n",
    "plt.legend()\n",
    "plt.xlim(wclump[-1][0] * 0.999999, wclump[-1][-1] * 1.00001)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ffrom these two examples the calculations with the same gradients produces the same pixel weights The clumped version produces less weight though.\n",
    "\n",
    "The masked version produces slightly different value for the last pixel due to how it is calculated. \n",
    "With the new graident all pixels are kept except in the clumped version the last pixel s the end and not in the middle so is not calculated with central difference but finite backward difference. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculations of RV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Old with gradient 0.155197 m / s\n",
      "New with gradient 0.155525 m / s\n",
      "Old without finite diff0.150011 m / s\n",
      "New with finite diff0.149899 m / s\n"
     ]
    }
   ],
   "source": [
    "# Old and new indicate the split method.\n",
    "print(\"Old with gradient {:0.06f}\".format(RVprec_calc_masked(wav, flux, atm.mask, grad=True)))\n",
    "print(\"New with gradient {:0.06f}\".format(rv_precision(wav, flux, atm.mask, grad=True)))\n",
    "print(\"Old without finite diff{:0.06f}\".format(RVprec_calc_masked(wav, flux, atm.mask, grad=False)))\n",
    "print(\"New with finite diff{:0.06f}\".format(rv_precision(wav, flux, atm.mask, grad=False)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Differences between versions with same gradient is at the 4th sf. These are not the correct scale, this will be addressed in the next section."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating difference ratios."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assessing the changes to actual Figueira et al. values by not splitting on telluric lines first then applying mask to the weights, or slitting then calculating weights.\n",
    "\n",
    "Convolving the spectra to vsini=1 an R=100k of a M0 spectra in the Z,Y,J,H,K bands to be consistent with paper. \n",
    "Using Old gradient and new gradient methods to access difference.\n",
    "The old gradient drops the last pixel, which drops many pixels when spectra is split between telluric lines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting the Rotation convolution for vsini=1.00...\n",
      "Starting the Resolution convolution...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 83334/83334 [01:30<00:00, 919.23it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting the Rotation convolution for vsini=1.00...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 70054/70054 [01:10<00:00, 991.10it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting the Resolution convolution...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 70000/70000 [01:58<00:00, 592.27it/s]\n"
     ]
    }
   ],
   "source": [
    "# Explore relative difference of different bands\n",
    "wav_, flux_ = load_aces_spectrum([3900, 4.5, 0, 0])\n",
    "wav, flux = wav_selector(wav_, flux_, 0.7, 2.5)\n",
    "\n",
    "table = []\n",
    "table.append(\"Band, Cond#1, Split,   Masked,  ratio,   Cond#1,   Split,  Masked, ratio\")\n",
    "table.append(\"Grad,              False             ,                True              \")\n",
    "\n",
    "# Get J band SNR normalization value\n",
    "wav_j, flux_j = convolve_and_resample(\n",
    "    wav, flux, vsini=1, R=100000, band=\"J\", sampling=3\n",
    ")\n",
    "snr_norm = snr_constant_band(wav_j, flux_j, snr=100, band=\"J\")\n",
    "\n",
    "for band in [\"Z\", \"Y\", \"J\", \"H\", \"K\"]:\n",
    "    atm = Atmosphere.from_band(band, bary=True)\n",
    "\n",
    "    w, f = convolve_and_resample(wav, flux, vsini=1, R=100000, band=band, sampling=3)\n",
    "    f /= snr_norm\n",
    "\n",
    "    atm = atm.at(w)\n",
    "\n",
    "    a = RVprec_calc_masked(w, f, atm.mask, grad=True)\n",
    "    b = RVprec_calc_masked(w, f, atm.mask, grad=False)\n",
    "    c = rv_precision(w, f, atm.mask, grad=True)\n",
    "    d = rv_precision(w, f, atm.mask, grad=False)\n",
    "    e = rv_precision(w, f, grad=True)\n",
    "    f = rv_precision(w, f, grad=False)\n",
    "\n",
    "    false_ratio = (d - b) / b\n",
    "    true_ratio = (c - a) / a\n",
    "    table.append(\n",
    "        \"{0:5}, {1:4.02f}, {2:6.02f}, {3:6.02f}, {4:5.04f}, {5:6.02f}, {6:6.02f}, {7:6.02f}, {8:5.04f}\".format(\n",
    "            band,\n",
    "            f.value,\n",
    "            b.value,\n",
    "            d.value,\n",
    "            false_ratio,\n",
    "            e.value,\n",
    "            a.value,\n",
    "            c.value,\n",
    "            true_ratio,\n",
    "        )\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Band, Cond#1, Split,   Masked,  ratio,   Cond#1,   Split,  Masked, ratio\n",
      "Grad,              False             ,                True              \n",
      "Z    , 4.50,   7.45,   7.40, -0.0066,   4.74,   7.78,   7.79, 0.0013\n",
      "Y    , 3.97,   4.77,   4.76, -0.0022,   4.24,   5.08,   5.08, 0.0006\n",
      "J    , 7.47,  18.64,  18.58, -0.0029,   7.86,  19.63,  19.63, 0.0001\n",
      "H    , 3.84,   6.10,   6.07, -0.0053,   3.97,   6.27,   6.27, 0.0008\n",
      "K    , 7.14,  32.30,  32.23, -0.0022,   7.45,  33.57,  33.59, 0.0005\n"
     ]
    }
   ],
   "source": [
    "for line in table:\n",
    "    print(line)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This table shows that the methods produce very similar results. With new gradient it is 0.01 % difference.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This confirms that the new weighted mask is suitable."
   ]
  }
 ],
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