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@joezuntz
Created July 14, 2021 12:25
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "fb03b13e",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import h5py\n",
"import treecorr"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c9e15746",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x124ec5be0>]"
]
},
"execution_count": 2,
"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": [
"# For visualization here\n",
"with h5py.File(\"data/example/inputs/photometry_catalog.hdf5\") as f:\n",
" ra = f[\"photometry/ra\"][:]\n",
" dec = f[\"photometry/dec\"][:]\n",
"\n",
"# Pick some cluster coordinates \n",
"ra_c = 60.5\n",
"dec_c = -30.4\n",
"\n",
"# Plot thinned down version for easier visibility\n",
"plt.scatter(ra[::10], dec[::10], s=0.5, c='r')\n",
"\n",
"# Plot our chosen cluster coordinate\n",
"plt.plot(ra_c, dec_c, 'kx', ms=10)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4dba7a95",
"metadata": {},
"outputs": [],
"source": [
"# Make a TreeCorr catalog. We could instead have initialized with the data we already loaded\n",
"\n",
"cat = treecorr.Catalog(\n",
" \"data/example/inputs/photometry_catalog.hdf5\",\n",
" ext=\"photometry\",\n",
" ra_col=\"ra\",\n",
" dec_col=\"dec\",\n",
" ra_units=\"degree\",\n",
" dec_units=\"degree\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "6314e61b",
"metadata": {},
"outputs": [],
"source": [
"field = cat.getNField()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "3afc799f",
"metadata": {},
"outputs": [],
"source": [
"# Ask for the points near our cluster\n",
"indices = field.get_near(ra=ra_c, dec=dec_c, sep=10, ra_units='degree', dec_units='degree', sep_units='arcmin')\n",
"\n",
"# coordinates of nearby points\n",
"ra_near = ra[indices]\n",
"dec_near = dec[indices]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1762a347",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x124ff8070>"
]
},
"execution_count": 6,
"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": [
"# Visualize the full catalog, the center, and our nearby points\n",
"plt.scatter(ra[::10], dec[::10], s=0.5, c='r')\n",
"plt.plot(ra_c, dec_c, 'kx', ms=10)\n",
"plt.scatter(ra[indices], dec[indices], s=0.5, c='b')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.9.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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