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June 7, 2017 19:45
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{ | |
"cells": [ | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "from obscond import SkyCalculations", | |
"execution_count": 1, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "from lsst.sims.photUtils import BandpassDict, Bandpass", | |
"execution_count": 2, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "import numpy as np", | |
"execution_count": 3, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "import pandas as pd", | |
"execution_count": 4, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "%matplotlib inline\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nsns.set_style('whitegrid')", | |
"execution_count": 5, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "class SkyMagCalcs(SkyCalculations):\n def __init__(self, deshwfname=None):\n self.deshwfname = deshwfname\n self._deshw = None\n super(SkyMagCalcs, self).__init__(hwBandpassDict=BandpassDict.loadBandpassesFromFiles()[1])\n\n @property\n def deshw(self):\n if self._deshw is not None:\n return self._deshw\n else:\n deshw = self.desHWBandpassDict(self.deshwfname)\n self._deshw = deshw\n return self._deshw\n\n @staticmethod\n def simlib(fname):\n df = pd.read_csv(fname, skiprows=2,\n delim_whitespace=True,\n names=['trash', 'ROW','LIBID','RA','DEC','MJD','BAND','ZP_pe','SKYMAG','PSF','M5SIG'],\n index_col='ROW')\n del df['trash']\n return df\n\n def desHWBandpassDict(self, fname=None):\n if fname is None:\n # private bandpass currently\n fname = '/Users/rbiswas/data/DES/Kessler_DES_Cadence/STD_BANDPASSES_Y3A1_FGCM_20170320.dat-2.txt'\n desdf = pd.read_csv(fname, delim_whitespace=True)\n desdf.rename(columns={'#lambda':'wave'}, inplace=True)\n desdf.wave = desdf.wave / 10.0\n df = desdf[['g', 'r', 'i', 'z', 'Y']].divide(desdf['atm'], axis=0).join(desdf['wave'])\n bandpassNameList= ['g','r','i','z','y']\n bandpassList = list(Bandpass(df.wave.values, sb=df[bandName].values) for bandName in ['g','r','i','z','Y'])\n hwBandpassDict = BandpassDict(bandpassList, bandpassNameList)\n return hwBandpassDict\n \n def desSkyMags(self, pointings, raCol='RA', decCol='DEC', mjdCol='MJD', bandCol='BAND'):\n \n num = len(pointings)\n idxs = np.zeros(num, dtype=int)\n des_mags = np.zeros(num)\n lsst_mags = np.zeros(num)\n sm = self.sm\n \n count = 0\n for obsHistID, row in pointings.iterrows():\n ra = row[raCol]\n dec = row[decCol]\n bandName = row[bandCol]\n mjd = row[mjdCol]\n sm.setRaDecMjd(lon=ra, lat=dec,\n filterNames=bandName, mjd=mjd,\n degrees=False, azAlt=False)\n lsst_mags[count] = self.skymag(bandName, sm=sm,\n hwBandPassDict=self.adb.hwbandpassDict)\n des_mags[count] = self.skymag(bandName, sm=sm, hwBandPassDict=self.deshw)\n idxs[count] = obsHistID\n count += 1\n return pd.DataFrame(dict(obsHistID=idxs, lsst_mags=lsst_mags, des_mags=des_mags)).set_index('obsHistID')", | |
"execution_count": 6, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "smc = SkyMagCalcs(deshwfname='/Users/rbiswas/data/DES/Kessler_DES_Cadence/STD_BANDPASSES_Y3A1_FGCM_20170320.dat-2.txt')\nsmc.adb.hwbandpassDict", | |
"execution_count": 7, | |
"outputs": [ | |
{ | |
"execution_count": 7, | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": "<lsst.sims.photUtils.BandpassDict.BandpassDict at 0x120a95bd0>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "plt.plot(smc.deshw['g'].wavelen, smc.deshw['g'].sb, color='r')\nplt.plot(smc.adb.hwbandpassDict['g'].wavelen, smc.adb.hwbandpassDict['g'].sb, color='g')", | |
"execution_count": 8, | |
"outputs": [ | |
{ | |
"execution_count": 8, | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": "[<matplotlib.lines.Line2D at 0x120af1610>]" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
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tXrxYpaWlqqys1Lx587Ry5UrTuQUFBSoqKlJRUZGGDRumn/3sZ7rmmmt0/PHHJ6x4pKG1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\nA0bAGbtPcmXFvQMZrBT5/hxuhrVtt8LhsJVVAf9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qR4wYodS7qqysLGRnZ+Pxxx93KNdq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\nIlX7f1HnqF37rf+KAAAAAElFTkSuQmCC\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x120af1ad0>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "pointings = SkyMagCalcs.simlib('/Users/rbiswas/data/DES/Kessler_DES_Cadence/SIMLIB_DUMP_DES-griz.DAT')\npointings[['RA', 'DEC']] = pointings[['RA', 'DEC']].apply(np.radians)", | |
"execution_count": 9, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "from joblib import delayed, Parallel", | |
"execution_count": 10, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "pts = np.array_split(pointings, 40)", | |
"execution_count": 11, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "# This dataframe was calculated using the class above. Once done, we can use the saved values for making plots\n#dff = smc.desSkyMags(pointings)\n#dff.to_hdf('DES_pointings.hdf', key='0')\ndff = pd.read_hdf('DES_pointings.hdf')", | |
"execution_count": 12, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "df = dff.join(pointings)", | |
"execution_count": 13, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "df['diff_des'] = - df.des_mags + df.SKYMAG\ndf['diff_lsst'] = - df.lsst_mags + df.SKYMAG", | |
"execution_count": 14, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "fig, ax = plt.subplots()\ndf.diff_lsst.hist(histtype='step', bins=np.arange(-8, 8, 0.05), ax=ax, color='k', alpha=1, lw=1, label='LSST: median {0:0.2f}'.format(np.median(df.diff_lsst.dropna())))\ndf.diff_des.hist(histtype='step', bins=np.arange(-8, 8, 0.05), ax=ax, color='r', alpha=1, lw=1, label='DES: median {0:0.2f}'.format(np.median(df.diff_des.dropna())))\nplt.legend(loc='best')\nax.set_xlabel('Model - DES')", | |
"execution_count": 15, | |
"outputs": [ | |
{ | |
"execution_count": 15, | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": "<matplotlib.text.Text at 0x1238d4210>" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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XwsKkAwccWDEAOIbdgXXv3r268sor1a5dO/n4+MjHx0eenp766quvVFBQoIUL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\nE+nUqRNVqlQxOsp9YdeuXXh6evLwww/b2vr378+ECRMMTGX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| |
"text/plain": "<matplotlib.figure.Figure at 0x1238bcdd0>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "fig, ax = plt.subplots(2, 2, sharey=True, sharex=True)\ndf.hist('diff_des', by='BAND', bins=np.arange(-6., 2., 0.1), histtype='step', alpha=1, color='k', normed=1, \n cumulative=0, lw=1, sharey=True, ax=ax)\nfor axx, band in zip(ax.flatten(), df.BAND.unique()):\n xx = df.dropna().query('BAND == @band').diff_des\n axx.axvline(np.median(xx), ls='dashed', color='k')\n axx.text(-5, 1.5, 'median = {0:0.2f}'.format(np.median(xx)))\n axx.set_xlabel('model - DES')", | |
"execution_count": 16, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": "/Users/rbiswas/soft/LSST/DarwinX86/miniconda2/4.2.12.lsst1/lib/python2.7/site-packages/pandas/tools/plotting.py:2908: UserWarning: When passing multiple axes, sharex and sharey are ignored. These settings must be specified when creating axes\n yrot=yrot, **kwds)\n" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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OnTvj448/LvZts6hbt25BJpO99PBJTVC4x3r58uVo2LBhscdr1aoFOzs7yOVypKamaj32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\nQmCC\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x12386cbd0>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "So on the average, the model works quite well in each band. However, in individual measurements there are large variations including a tail which indicates that the model can be extremely bright compared to DES measurements on a handful of events. " | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "df.groupby('BAND').agg(dict(diff_des=lambda x:np.median(x), diff_lsst=lambda x:np.median(x)))", | |
"execution_count": 17, | |
"outputs": [ | |
{ | |
"execution_count": 17, | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": " diff_des diff_lsst\nBAND \ng -0.146185 -0.095597\ni -0.120146 -0.108651\nr 0.063058 0.097259\nz 0.191831 -0.266670", | |
"text/html": "<div>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>diff_des</th>\n <th>diff_lsst</th>\n </tr>\n <tr>\n <th>BAND</th>\n <th></th>\n <th></th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>g</th>\n <td>-0.146185</td>\n <td>-0.095597</td>\n </tr>\n <tr>\n <th>i</th>\n <td>-0.120146</td>\n <td>-0.108651</td>\n </tr>\n <tr>\n <th>r</th>\n <td>0.063058</td>\n <td>0.097259</td>\n </tr>\n <tr>\n <th>z</th>\n <td>0.191831</td>\n <td>-0.266670</td>\n </tr>\n </tbody>\n</table>\n</div>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "fig, ax = plt.subplots(2, 2, sharex=True, sharey=True)\nfor (band, group), ax in zip(df.groupby('BAND'), ax.flatten()):\n group.plot(x='SKYMAG', y='diff_des', kind='scatter', ax=ax, title=band, marker='.')\n group.plot(x='SKYMAG', y='diff_lsst', kind='scatter', ax=ax, title=band, color='r', marker='.')", | |
"execution_count": 18, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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X9Di/HrfhaaAMcigWAhuRqP4Ub3Cdj5yOvij/LLBoUWoXLcqZ7t2oVbQogwcPTvb5L3Ug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\nEUnC/wGN5VVRkl3rlwAAAABJRU5ErkJggg==\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x125c7f750>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "There is not a particular time of night where the variations are large. The two populations are very similar." | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "df['time'] = df.MJD % 1\ndf.time = df.time.astype(np.float) * 24.0", | |
"execution_count": 19, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"collapsed": false, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "df.query('diff_des > 0.5 or diff_des < - 0.5').time.hist(histtype='step', lw=2, alpha=1, normed=1)\ndf.time.hist(histtype='step', lw=2, alpha=1, normed=1)", | |
"execution_count": 22, | |
"outputs": [ | |
{ | |
"execution_count": 22, | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x127ad2550>" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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QCASUmRn7YPOh5VAoFDPe398/4txQKKS+vj5J0kMPPaS7775bM2fO1OOPP67b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\noRmqEwAAAABJRU5ErkJggg==\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x127adf5d0>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"collapsed": true, | |
"trusted": true | |
}, | |
"cell_type": "code", | |
"source": "", | |
"execution_count": null, | |
"outputs": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"name": "python2", | |
"display_name": "Python [default]", | |
"language": "python" | |
}, | |
"language_info": { | |
"mimetype": "text/x-python", | |
"nbconvert_exporter": "python", | |
"name": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.12", | |
"file_extension": ".py", | |
"codemirror_mode": { | |
"version": 2, | |
"name": "ipython" | |
} | |
}, | |
"anaconda-cloud": {} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 1 | |
} |
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