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@hsnee
Created December 12, 2018 16:53
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{
"cells": [
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"sys.path.insert(0, \"/global/homes/h/husni/.local/lib/python3.6/site-packages\")"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"import seaborn as sns;sns.set_style('darkgrid')\n",
"import pandas as pd\n",
"%config InlineBackend.figure_format = 'retina'\n",
"matplotlib.rcParams['figure.figsize'] = 19,14\n",
"sns.set_context('poster')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install --upgrade treecorr --user"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import GCRCatalogs\n",
"from GCR import GCRQuery\n",
"# Load the object catalog\n",
"catalog = GCRCatalogs.load_catalog('cosmoDC2_v1.1.4')\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>redshift</th>\n",
" <th>mag_r</th>\n",
" <th>ra</th>\n",
" <th>dec</th>\n",
" <th>shear1</th>\n",
" <th>shear2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.022012</td>\n",
" <td>15.969118</td>\n",
" <td>62.584977</td>\n",
" <td>-40.334110</td>\n",
" <td>-0.0</td>\n",
" <td>-0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.020724</td>\n",
" <td>19.318966</td>\n",
" <td>61.398620</td>\n",
" <td>-41.036142</td>\n",
" <td>-0.0</td>\n",
" <td>-0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.020339</td>\n",
" <td>17.240576</td>\n",
" <td>61.024250</td>\n",
" <td>-39.783545</td>\n",
" <td>-0.0</td>\n",
" <td>-0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.018407</td>\n",
" <td>17.741489</td>\n",
" <td>61.420014</td>\n",
" <td>-39.964448</td>\n",
" <td>-0.0</td>\n",
" <td>-0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.021334</td>\n",
" <td>14.139737</td>\n",
" <td>61.869596</td>\n",
" <td>-40.907121</td>\n",
" <td>-0.0</td>\n",
" <td>-0.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" redshift mag_r ra dec shear1 shear2\n",
"0 0.022012 15.969118 62.584977 -40.334110 -0.0 -0.0\n",
"1 0.020724 19.318966 61.398620 -41.036142 -0.0 -0.0\n",
"2 0.020339 17.240576 61.024250 -39.783545 -0.0 -0.0\n",
"3 0.018407 17.741489 61.420014 -39.964448 -0.0 -0.0\n",
"4 0.021334 14.139737 61.869596 -40.907121 -0.0 -0.0"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame(catalog.get_quantities(['ra', 'dec', 'redshift', 'shear1', 'shear2', 'mag_r']))\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"df2 = df[df['mag_r']<24]"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2553591"
]
},
"execution_count": 66,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(df2)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"df = pd.Datacatalog.get_quantities('ra')\n",
"dec = catalog.get_quantities('dec')"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x2b3fed0e82b0>]"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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jSrrO008/Hd/61rdi27ZtRR/T2toay5Yti69+9atx9NFHl3Q9gGrTeQcAAAAAqDXCOgBA2pQ1tLNx48Z46KGHynW6SX3ta1+LY445ZsrHDw0NxcDAQOzcuTNefPHFeOyxx+Kll17Ke8/s2bNj9erVsWjRoqLO+f/+3/+L+++/P2/soIMOis7OzjjttNNizpw5ceDAgdi5c2f09fXF1q1b8957+OGHx3e+85343d/93Sn/vSqtv3+g5GMymfZpnwNIl86e3qSnAAAAAAAwqb7urqSnAEARrCmTBoWfw0ora2jn0UcfjZtvvrlcp5vUk08+GQsXLizrOZ944om47bbbYu/evcNjxx57bDz55JMxc+bMCY+977774s4778wb+/SnPx1/+Zd/Gccff/yYx/zsZz+LP//zP4/t27cPj7W1tcXDDz8cv/M7vzONv0nlCO0AIwnvAAAAAABpJKwDUFusKZMG1Q7tNFf1ajVg2bJlcc8990RTU9Pw2I4dO+Lee++d8Lg333wz7r777ryx888/P+6///5xAzsREWeddVasWbMm7z179+6Nm2++ORpo5zKghrnxBQAAAADSpK+7S90SAKgJQjtjOOecc2LZsmV5Y2vWrImhoaFxj3nwwQdj//79w6/b29vjG9/4RjQ3T/6feM6cObFq1aq8sS1btsSzzz5b4swBkpG7CXYjDAAAAAAkaWSNUpdwACDtWsp5shUrVsSKFSvKecrELF++PNatWzf8evfu3fHaa6/FokWLxnz/v/7rv+a9vvjii2PWrFlFX+/ss8+OE044Id54443hsaeffjq6uiyAA7Uld1PshhgAAAAAqJaxHij0kCEAkHY67YzjxBNPHDX21ltvjfnewcHB2L59e97YJz/5yZKvWXjM1q1bSz4HQFrovAMAAAAAVNpEdcipPFjoYUQAoJqEdsYxc+bMUWMffPDBmO99//33R40dccQRJV/zyCOPzHu9e/fuks8BkDaCOwAAAABAuRXz0OBUapPqmQBANZV1e6x6MlZgZs6cOWO+t62tbdTYeAGfiQwODua9PvTQQ0s+B0Aa2UcaAAAAACiHsUI1nT29wjYAQE3SaWccL7/88qixo446asz3tre3R2tra97Ym2++WfI1t23blvf68MMPL/kcAGnn5hkAAAAAmIrxaotqjgBArRLaGcfjjz+e9zqTycT8+fPHff+JJ56Y9/rpp58u6Xp79uyJvr6+vLFFixaVdA6AWlFM61oAAAAAgBz1RACgHtVtaGffvn1TPvapp56K9evX542df/750dTUNO4xn/70p/Nev/DCC/GTn/yk6Gvec889o7bHOuecc4o+HqAWCe8AAAAAAOPJ1Q7VEAGAelW3oZ1rr702vve978XAwEDRx2Sz2Vi7dm3ccMMNeeNtbW3xxS9+ccJjP/e5z8WMGTPyxm688cZ4/vnnJ73u3/7t38aDDz6YNzZ//vw4++yzi5w5QG1z0w0AAAAA5OQe9uvs6R3+JwBAPWrKZrPZpCdRCcuXL4+tW7fGjBkz4txzz43zzjsvTjrppJg/f360tbUNv2/fvn3x+uuvx8aNG+Oxxx6LV155ZdS5br/99li5cuWk17zrrrvi3nvvzRtraWmJSy+9NFasWBGnnHLKcLDn/fffj5/97GfxwAMPxMaNG/OOaWpqinvvvTfOO++8qfzVK66/v/ggVE4m0z7tcwCNwQ04AAAAADSmbXdcFBHWEAAalTVl0qDwc1hpdR/aGUtra2scdthhsW/fvti7d++452hqaoqbbroprr766qKuOTQ0FF/+8pfjqaeeGvd8HR0dsX///gmv+2d/9mdx3XXXFXXNJAjtAJUmuAMAAAAAjUdoB6CxWVMmDaod2mmp6tVSYv/+/bF79+4J3zN37txYtWpVdHZ2Fn3e5ubm+Ou//uv4zne+E9///vdjaGgo78+z2Wzs2bNn3OPb29vj61//eixbtqzoawLUo9x2WcI7AAAAAFDf+rq7qr44BgCQFnXbaeftt9+On/70p/Hss8/G5s2bo7+/f9Jj2tra4qyzzorLL788li5dGq2trVO+/s9//vP4wQ9+EP/8z/88aUDouOOOi8svvzw++9nPxhFHHDHla1aLTjtAtQnvAAAAAEB9yT24FzH1NYTOnt688wBQ26wpkwa2x6qQt99+O7Zt2xa//OUv4/3334/BwcFobW2N9vb2mDVrVixYsCBOOOGEaG5uLut1s9lsvPHGG/Hqq6/Ge++9FwMDA9Hc3BwdHR2RyWTi5JNPjqOPPrqs16w0oR2gmkbeeAvvAAAAAEBtGytkYw0BgAjfB6SD0A6pJ7QDJE14BwAAAABqy0QdcawhABDh+4B0qHZop7xtZQCgCvq6u7S9BQAAAIAaoZYHADC2lqQnAABTZdssAAAAAEgvYR0AgInptANATRoZ1HHzDwAAAADpoVM2AEBxmrLZbDbpSVBbprJ3oP0HgWrRdQcAAAAAkjOVsI41BAAifB+QDoWfw0rTaQeAuuIpHgAAAABIxsi6nIfrAAAmJ7QDQF0S3gEAAACA6hirFtfX3TUc3BHgAQAYm+2xKJntsYBapDAAAAAAAOVT2FVnOg/QWUMAIML3AelQ7e2xhHYomdAOUMuEdwAAAABgesrd4doaAgARvg9Ih2qHdlqqejUASFiuoCC8AwAAAADFmyyoM91uOwAAjag56QkAQBLG2mcbAAAAABitcCusyd4DAEBxbI9FyWyPBdQjnXcAAAAA4DeqGcKxhgBAhO8D0qHa22PptAMA4UkgAAAAAMhRKwMAqI6WpCcAAGmRK0bougMAAABAIxLWAQCoLqEdACggvAMAAABAIxHWAQBIhu2xAGAcihUAAAAA1LO+7i41MACABAntAMAEFC4AAAAAqEdqXgAAybM9FgAUwZZZAAAAANQ6QR0AgHTRaQcASqDzDgAAAAC1qK+7ywNpAAApI7QDAFMgvAMAAABALRhZw1LPAgBIF6EdAJiizp5e4R0AAAAAUmlk3UqXHQCAdBLaAYAyENwBAAAAIA1yYZ3CkI76FQBA+gjtANDQyvmEkcIHAAAAAEkp7AitVgUAkH5COwA0tImKF7lAT+E/Jzp2ZMthAAAAAKg027cDANQuoR0AGEdhACf3z8LwznhhHsUSAAAAACppvPpTObtLAwBQOUI7AFCCzp7evGJI4eux3iu8AwAAAEA5TVZzKqYeJdgDAJC8pmw2m016EtSW/v6Bko/JZNqnfQ6g8UwUiEmr3JzHm7tiCAAAAADTUWv1smJYQwAgwvcB6VD4Oaw0oR1KJrQDNKJSAkSTvVdwBwAAAIBS1GNQZyRrCABE+D4gHaod2rE9FgAUodj9wcfaPqvwfSPbF9d7wQUAAACAqbP1OgBAfdNph5LptANQnFK78wAAAABARHoe9KrW9vXWEACI8H1AOtgei9QT2gEYrZgCRrFFDgEeAAAAgMaUlrBOtVlDACDC9wHpYHssAKhTjVp0AQAAAGB8Y22j7qEuAIDGILQDAGXQ1901XEwpLKpMpchiv3IAAACAxlFYB1IXAgBoDLbHomS2xwKoLk9WAQAAANQfwZzfsIYAQITvA9LB9lgA0IAmCubougMAAABQX9R6AACI0GmHKdBpByBZOu8AAAAA1CZhnbFZQwAgwvcB6VDtTjstVb0aADBtueKO8A4AAABAbRDWAQBgLEI7AFCjhHcAAAAA0k1YBwCAiTQnPQEAYHoUfwAAAADSpa+7S80GAIBJCe0AQI0p7Kyj0w4AAABAOgjrAABQiqZsNptNehLUlv7+gZKPyWTap30OACbX2dMbfd1dgjwAAAAAVSasM3XWEACI8H1AOhR+DitNaIeSCe0AjC8XmkkL4R0AAACAykpTLahWWUMAIML3AekgtEPqCe0A1B7hHQAAAIDyEtYpH2sIAET4PiAdqh3aaanq1QCAROSKSMI7AAAAANMjrAMAQLk0Jz0BAKB6+rq7FJYAAAAApkhdBQCAchLaAYAGpMAEAAAAUDwPQgEAUAm2xwKABmXLLAAAAICJCeoAAFBJOu0AQINTfAIAAAAYTc0EAIBKE9oBALR4BgAAAIjfBHV0KAYAoBqastlsNulJUFv6+wdKPiaTaZ/2OQCoLEUoAAAAAB12kmANAYAI3wekQ+HnsNJ02gEABHYAAAAA/k9nT69aCQAAVdGS9AQAgOQoQAEAAACMbWTdRPcdAAAqQacdAGgQIwtNnhgDAAAAKJ5aCgAAlSC0AwANRoEJAAAAYGrUVQAAKCehHQBoALmCksISAAAAwPSorwAAUC5COwBQ5xSSAAAAAMprrO2y1GAAACiV0A4A1DHFIgAAAIDKGRne6evuGh4DAIBiCO0AQB0ZuQ2WAhEAAABAdYysw+TCO2mgPgQAkG5COwBQZxRjAAAAAKpv5ENUaanPpClABADAaEI7AFAn0lIMAgAAAGhkajQAABSrJekJAABTowAEAAAAkF652o1uNwAAjEenHQAAAAAAgAoZuW3WyDEAAGjKZrPZpCdBbenvHyj5mEymfdrnAOAjijoAAAAAtUvnndGsIQAQ4fuAdCj8HFaa7bEAoEYI6wAAAADUPttmAQCQY3ssAKgBAjsAAAAA9SW3bVa56z7qSAAAtUOnHQBIMUUWAAAAAEqhgw8AQO0Q2gGAFBLWAQAAAGgc49WCBHAAAOqb0A4ApIiwDgAAAAARAjsAAI2gOekJAAAfEdgBAAAAIEetCACg/gntAEDCOnt6FWEAAOD/s3f/MX7X9R3AX3f0B9DrbLC3qh1bpY6KOML+OJrN7CJZzahNzFITF5EMZBjmbFz1kgHD1KYZwrKdMGBogkZBaePU4P4AIWxQbm6ZHNGthDInFbaxEnpIhB4Htl4/+6P7frnvt3ftfb4/Pj8fj6Sxn0/v8/m+o19z78/n/Xy/XgDACXrx3sh7JwCA4hpIkiTJexCUy9TU4dTXDA+v7PoeAFXjhQkAAAAAaVS1ZZY1BAAi/D6gGNq/h/2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\n",
"text/plain": [
"<Figure size 1368x1008 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 818,
"width": 1142
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ra, dec, ',')"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"import treecorr as tr"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [],
"source": [
"cat = tr.Catalog(g1=df2['shear1'], g2=df2['shear2'], ra=df2['ra'], dec=df2['dec'],\n",
" ra_units='degrees', dec_units='degrees')\n",
"\n",
"min_sep = 0.01 # in degrees\n",
"max_sep = 2 # in degrees\n",
"nbins = 24 # number of bins\n",
"\n",
"corr = tr.GGCorrelation(min_sep=min_sep, max_sep=max_sep,\n",
" nbins=nbins, sep_units='degrees')\n",
"corr.process(cat)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1368x1008 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 819,
"width": 1147
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.exp(corr.logr), corr.xip)\n",
"plt.xscale('log')\n",
"plt.yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "desc-stack-dev",
"language": "python",
"name": "desc-stack-dev"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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