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@fjaviersanchez
Created March 30, 2021 01:27
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Validation of DC2 calexps
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "tired-basement",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "unauthorized-mission",
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import healpy as hp\n",
"from lsst.daf.persistence import Butler\n",
"import dask as da\n",
"import pandas as pd\n",
"from scipy.stats import binned_statistic\n",
"import glob\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "lyric-tuning",
"metadata": {},
"outputs": [],
"source": [
"butler = Butler('/sps/lssttest/dataproducts/desc/DC2/Run2.2i/v19.0.0-v1/rerun/run2.2i-calexp-v1/')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "recorded-centre",
"metadata": {},
"outputs": [],
"source": [
"datarefs = butler.subset('calexp')"
]
},
{
"cell_type": "markdown",
"id": "massive-aruba",
"metadata": {},
"source": [
"This Notebook contains basic functionality to validate single-visit catalogs"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "accessible-illness",
"metadata": {},
"outputs": [],
"source": [
"# First we select one visit\n",
"for visitId in datarefs.cache[:1]:\n",
" src = butler.get('src', visitId)\n",
" calib = butler.get('calexp_photoCalib', visitId)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "pacific-procedure",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(src['coord_ra'], src['coord_dec'], s=0.1)\n",
"plt.xlabel('RA [deg]', fontsize=16)\n",
"plt.ylabel('Dec [deg]', fontsize=16)\n",
"plt.title(visitId);\n",
"# Show the spatial distribution of detected objects"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "aging-paraguay",
"metadata": {},
"outputs": [],
"source": [
"pxnums = hp.ang2pix(4096, np.pi/2-src['coord_dec'], src['coord_ra'])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "sublime-ceremony",
"metadata": {},
"outputs": [],
"source": [
"area_tot = len(np.unique(pxnums))*hp.nside2pixarea(4096, degrees=True)*3600"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "recognized-acrylic",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, \"{'visit': 230, 'filter': 'r', 'raftName': 'R12', 'detectorName': 'S22', 'detector': 53}\")"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"aux = calib.instFluxToMagnitude(src, 'base_SdssShape')\n",
"# Plot magnitude distribution of detected objects\n",
"plt.hist(aux[:,0], bins=30, range=(15, 30), weights=np.ones_like(aux[:,0])/area_tot, histtype='step')\n",
"plt.xlabel('SDSS-Shape r-band magnitude', fontsize=16)\n",
"plt.ylabel('Galaxies/0.5 mag/arcmin$^{2}$', fontsize=16)\n",
"plt.xlim(15.5, 26.)\n",
"plt.title(visitId)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "swiss-delivery",
"metadata": {},
"outputs": [],
"source": [
"# Get one of the reference catalogs that overlaps with out data\n",
"import astropy.table\n",
"tab = astropy.table.Table.read('/sps/lssttest/dataproducts/desc/DC2/Run2.2i/v19.0.0-v1/ref_cats/cal_ref_cat/147182.fits')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "jewish-damages",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, \"{'visit': 230, 'filter': 'r', 'raftName': 'R12', 'detectorName': 'S22', 'detector': 53}\")"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Check that they indeed overlap\n",
"plt.scatter(tab['coord_ra'], tab['coord_dec'])\n",
"plt.scatter(src['coord_ra'], src['coord_dec'], s=0.1)\n",
"plt.xlabel('RA [deg]', fontsize=16)\n",
"plt.ylabel('Dec [deg]', fontsize=16)\n",
"plt.title(visitId)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "precious-tobago",
"metadata": {},
"outputs": [],
"source": [
"# Match the catalogs\n",
"from sklearn.neighbors import KDTree\n",
"tree = KDTree(np.array([tab['coord_ra'], tab['coord_dec']]).T)\n",
"dist, ind = tree.query(np.array([src['coord_ra'], src['coord_dec']]).T) \n",
"# Dist is the distance (in radians) and ind are the indices in the ref. cat."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "modular-investment",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 2.0)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# There will be a \"match\" for every object in the source catalog but they are probably \"bad\"\n",
"plt.hist(dist*3600*180/np.pi, bins=100, range=(0, 5));\n",
"plt.xlabel('Distance [arcsec]')\n",
"plt.ylabel('Number of matches')\n",
"plt.xlim(0, 2)"
]
},
{
"cell_type": "markdown",
"id": "excessive-casting",
"metadata": {},
"source": [
"Most reliable matches are going to be well below 1 arcsec"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "universal-kazakhstan",
"metadata": {},
"outputs": [],
"source": [
"# Change format\n",
"ind = np.concatenate(ind).ravel()\n",
"dist = np.concatenate(dist).ravel()\n",
"dist = dist*180/np.pi*3600 # convert to arcsec"
]
},
{
"cell_type": "markdown",
"id": "usual-detective",
"metadata": {},
"source": [
"# Astrometry"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "lasting-jackson",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f26f6250820>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(3600*180/np.pi*(tab['coord_ra'][ind[dist<1]]-src['coord_ra'][dist<1])*np.cos(src['coord_dec'][dist<1]), bins=50, histtype='step', label='$\\Delta$ RA')\n",
"plt.hist(3600*180/np.pi*(tab['coord_dec'][ind[dist<1]]-src['coord_dec'][dist<1]), bins=50, histtype='step', label='$\\Delta$ dec')\n",
"plt.xlim(-0.2, 0.2)\n",
"plt.xlabel(r'$\\Delta X$ [arcsec]', fontsize=16)\n",
"delta_ra = 3600000*180/np.pi*(tab['coord_ra'][ind[dist<0.5]]-src['coord_ra'][dist<0.5])*np.cos(src['coord_dec'][dist<0.5])\n",
"delta_dec = 3600000*180/np.pi*(tab['coord_dec'][ind[dist<0.5]]-src['coord_dec'][dist<0.5])\n",
"delta_all = np.sqrt(delta_ra**2+delta_dec**2)\n",
"plt.annotate(f'Mean residual: {np.mean(delta_all):.1f} mas', (0.05, 0.8), xycoords='axes fraction')\n",
"plt.annotate(f'Std residual: {np.std(delta_all):.1f} mas', (0.05, 0.75), xycoords='axes fraction')\n",
"plt.legend(loc='best')"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "hungry-stupid",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/cvmfs/sw.lsst.eu/linux-x86_64/lsst_distrib/w_2021_13/conda/miniconda3-py38_4.9.2/envs/lsst-scipipe-0.4.3-ext/lib/python3.8/site-packages/seaborn/_decorators.py:36: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Check 2D residuals\n",
"p1 = sns.jointplot(delta_ra, delta_dec, xlim=(-100, 100), ylim=(-100, 100), marginal_kws={'kde': True})\n",
"p1.plot_joint(sns.kdeplot)\n",
"p1.set_axis_labels(xlabel=r'$\\Delta$ RA [mas]', ylabel=r'$\\Delta$ Dec [mas]')\n",
"ax = p1.ax_joint\n",
"# There is no evidence of preferred direction using these objects."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "cheap-europe",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f26f962a820>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Focus on the objects used for astrometric calibration\n",
"mask = src['calib_astrometry_used']==True\n",
"plt.hist(3600*180/np.pi*(tab['coord_ra'][ind[(dist<1) & (mask)]]-src['coord_ra'][mask & (dist < 1)])\n",
" *np.cos(src['coord_dec'][(mask) & (dist < 1)]), bins=50, histtype='step', label='$\\Delta$ RA')\n",
"plt.hist(3600*180/np.pi*(tab['coord_dec'][ind[(dist<1) & (mask)]]\n",
" -src['coord_dec'][(dist<1) & (mask)]), bins=50, histtype='step', label='$\\Delta$ dec')\n",
"plt.xlim(-0.05, 0.05)\n",
"plt.xlabel(r'$\\Delta X$ [arcsec]', fontsize=16)\n",
"delta_ra = 3600000*180/np.pi*(tab['coord_ra'][ind[(dist<0.5) & (mask)]] \\\n",
" -src['coord_ra'][(dist<0.5) & (mask)])*np.cos(src['coord_dec'][(dist<0.5) & (mask)])\n",
"delta_dec = 3600000*180/np.pi*(tab['coord_dec'][ind[(dist<0.5) & (mask)]]-src['coord_dec'][(dist<0.5) & (mask)])\n",
"delta_all = np.sqrt(delta_ra**2+delta_dec**2)\n",
"plt.annotate(f'Mean residual: {np.mean(delta_all):.1f} mas', (0.05, 0.8), xycoords='axes fraction')\n",
"plt.annotate(f'Std residual: {np.std(delta_all):.1f} mas', (0.05, 0.75), xycoords='axes fraction')\n",
"plt.legend(loc='best')"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "invalid-leisure",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/cvmfs/sw.lsst.eu/linux-x86_64/lsst_distrib/w_2021_13/conda/miniconda3-py38_4.9.2/envs/lsst-scipipe-0.4.3-ext/lib/python3.8/site-packages/seaborn/_decorators.py:36: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Check 2D residuals\n",
"p1 = sns.jointplot(delta_ra, delta_dec, marginal_kws={'kde': True})\n",
"p1.plot_joint(sns.kdeplot)\n",
"p1.set_axis_labels(xlabel=r'$\\Delta$ RA [mas]', ylabel=r'$\\Delta$ Dec [mas]')\n",
"ax = p1.ax_joint\n",
"# There is some preferred direction, it is probably related to chromatic effects."
]
},
{
"cell_type": "markdown",
"id": "broke-welsh",
"metadata": {},
"source": [
"# Photometry"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "missing-album",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/cvmfs/sw.lsst.eu/linux-x86_64/lsst_distrib/w_2021_13/conda/miniconda3-py38_4.9.2/envs/lsst-scipipe-0.4.3-ext/lib/python3.8/site-packages/seaborn/_decorators.py:36: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Check the residual photometry for all objects using the SDSSShape magnitude estimate (it's going to be off)\n",
"mag_meas = aux[:, 0] [dist < 1]\n",
"mag_input = tab['lsst_r'][ind [dist < 1]]\n",
"delta_mag = mag_meas - mag_input\n",
"p1 = sns.jointplot(mag_meas, delta_mag, ylim=(-0.5, 0.5), marginal_kws={'kde': True})\n",
"p1.plot_joint(sns.kdeplot)\n",
"p1.set_axis_labels(xlabel=r'r-band mag', ylabel=r'$\\Delta$ mag')\n",
"ax = p1.ax_joint"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "considered-avenue",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/cvmfs/sw.lsst.eu/linux-x86_64/lsst_distrib/w_2021_13/conda/miniconda3-py38_4.9.2/envs/lsst-scipipe-0.4.3-ext/lib/python3.8/site-packages/seaborn/_decorators.py:36: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
" warnings.warn(\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.275271899763796 6.8481891670765975 4.346198781509422\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Check the residuals for the calibration objects\n",
"mask = src['calib_photometry_used'] == True\n",
"aux = calib.instFluxToMagnitude(src, 'base_PsfFlux')\n",
"mag_meas = aux[:, 0] [(dist < 1) & mask]\n",
"mag_input = tab['lsst_r'][ind [(dist < 1) & (mask)]]\n",
"delta_mag = mag_meas - mag_input\n",
"p1 = sns.jointplot(mag_meas, delta_mag*1000, ylim=(-50, 50), marginal_kws={'kde': True})\n",
"p1.plot_joint(sns.kdeplot)\n",
"p1.set_axis_labels(xlabel=r'r-band PSF mag', ylabel=r'$\\Delta$ mag [mmag]')\n",
"ax = p1.ax_joint\n",
"print(np.mean(delta_mag*1000), np.std(delta_mag*1000),\n",
" 0.714*(np.percentile(delta_mag*1000, 75)-np.percentile(delta_mag*1000, 25)))\n",
"# Print the mean, std and IQR of the photometric residuals (LPM-17 requirement on photometry PA5/PA6 are 10 mmag)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "muslim-heath",
"metadata": {},
"outputs": [],
"source": [
"# More stuff with calexps can be done (e.g., check zeropoint uniformity or check PSF residuals)."
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "expressed-crest",
"metadata": {},
"outputs": [],
"source": [
"pz_mean = []\n",
"pz_err = []\n",
"for visitId in datarefs.cache[:1200]:\n",
" if visitId['filter']=='r':\n",
" calib = butler.get('calexp_photoCalib', visitId)\n",
" pz_mean.append(np.log10(calib.getInstFluxAtZeroMagnitude()))\n",
" pz_err.append(1.086/(calib.getCalibrationMean()/calib.getCalibrationErr()))\n",
" else:\n",
" continue\n",
"pz_mean = np.array(pz_mean)\n",
"pz_err = np.array(pz_err)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "electrical-electric",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Zeropoint variation [mmag]')"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(2.5*1000*(pz_mean-np.mean(pz_mean)), bins=20, histtype='step');\n",
"plt.xlabel('Zeropoint variation [mmag]')"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "arranged-numbers",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Number of calexps')"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(1000*pz_err, bins=50, histtype='step');\n",
"plt.xlabel(r'$\\sigma_{zp}$ [mmag]', fontsize=16)\n",
"plt.ylabel(r'Number of calexps', fontsize=16)"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "resistant-courage",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.03325003901676114"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.std(pz_err*1000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "oriental-portal",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "lsst_distrib",
"language": "python",
"name": "lsst_distrib"
},
"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"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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