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@rokroskar
Last active December 18, 2015 09:19
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A python notebook that demonstrates some basic pynbody functionality
{
"metadata": {
"name": "pynbody_demo"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Pynbody Demo"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook highlights some of the basic `pynbody` functionality to get you on the way to analyzing your own simulations. The `pynbody` webpage is [here]( http://pynbody.github.io/) and you can find the documentation with additional tutorials [here](http://pynbody.github.io/pynbody/). If you find that things are broken *please please please* let us know by submitting a [bug report on github](https://github.com/pynbody/pynbody/issues). If you want to run the notebook on your own machine, you need to get the [testdata tarball](https://code.google.com/p/pynbody/downloads/list) and change the path in the `load` function below accordingly. "
]
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"rcParams['figure.figsize'] = (10,6)\n",
"rcParams['font.size'] = 18"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Basic data loading/exploration"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"loading a simulation output using the `pynbody.load()` function, which tries to automatically determine which type of code output you have:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pynbody\n",
"s = pynbody.load('/Users/rokstar/Downloads/testdata/g15784.lr.01024.gz')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"Loading using backend <class 'pynbody.tipsy.TipsySnap'>\n",
"TipsySnap: loading /Users/rokstar/Downloads/testdata/g15784.lr.01024.gz\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"a quick look at some basic information about the run we just opened: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<SimSnap \"/Users/rokstar/Downloads/testdata/g15784.lr.01024\" len=1717156>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"len(s)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 4,
"text": [
"1717156"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"len(s.stars)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 5,
"text": [
"265170"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`stars`, `gas`, `dark` also available as `s`, `g`, `d`"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"len(s.g), len(s.gas)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 6,
"text": [
"(158755, 158755)"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"the `properties` attribute of a `SimSnap` tells us some more basic info "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.properties"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 7,
"text": [
"{'a': 0.9999999999999911,\n",
" 'boxsize': Unit(\"6.85e+04 kpc a\"),\n",
" 'h': 0.7301145776501103,\n",
" 'omegaL0': 0.76,\n",
" 'omegaM0': 0.24,\n",
" 'time': Unit(\"1.40e+01 s kpc km**-1\")}"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.properties['time'].in_units('Gyr')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 8,
"text": [
"13.72831064485079"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"which quantities do we have available?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.keys()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 9,
"text": [
"[]"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"None! Because pynbody \"lazy-loads\" data... so lets see which data is actually on-disk:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.loadable_keys()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 10,
"text": [
"['phi',\n",
" 'FeMassFrac',\n",
" 'iord',\n",
" 'igasorder',\n",
" 'eps',\n",
" 'pos',\n",
" 'HI',\n",
" 'mass',\n",
" 'coolontime',\n",
" 'HeII',\n",
" 'vel',\n",
" 'OxMassFrac',\n",
" 'HeI']"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Accessing data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"to access any of these arrays or vectors, you access them like a python dictionary: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s['pos'].in_units('kpc')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"TipsySnap: loading data from main file\n"
]
},
{
"output_type": "pyout",
"prompt_number": 11,
"text": [
"SimArray([[ 733.51516346, -2479.31184326, -11394.52608302],\n",
" [ 781.21390409, -2209.05638147, -11392.16434933],\n",
" [ 794.4949563 , -2232.21137376, -11432.30055384],\n",
" ..., \n",
" [ 1672.78285106, -2332.06734179, -8386.4632496 ],\n",
" [ 1675.12072757, -2335.55559387, -8386.09837501],\n",
" [ 1682.45100698, -2338.79940549, -8386.07898308]], 'kpc')"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that each array has units attached..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s['mass'], s['vel'], s.g['HeI'], s.s['posform']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Reading /Users/rokstar/Downloads/testdata/g15784.lr.starlog\n",
"Bridging starlog into SimSnap"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"TipsySnap: attempting to load auxiliary array /Users/rokstar/Downloads/testdata/g15784.lr.01024.HeI\n",
"TipsySnap: attempting to load auxiliary array"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" /Users/rokstar/Downloads/testdata/g15784.lr.01024.iord\n"
]
},
{
"output_type": "pyout",
"prompt_number": 12,
"text": [
"(SimArray([ 3.19310585e-11, 3.19310585e-11, 3.19310585e-11, ...,\n",
" 1.24175999e-11, 1.24175999e-11, 1.24175999e-11], '4.75e+16 Msol'),\n",
" SimArray([[ 0.01673503, -0.01547551, -0.16838804],\n",
" [ 0.05142973, -0.00647544, -0.16129912],\n",
" [ 0.02738659, -0.00184103, -0.1736342 ],\n",
" ..., \n",
" [-0.13633673, -0.13716312, -0.12805983],\n",
" [-0.13267632, -0.09228273, -0.1247804 ],\n",
" [ 0.06591902, 0.13406622, -0.15172358]], '1.73e+03 km a s**-1'),\n",
" SimArray([ 3.51669648e-12, 1.60111191e-09, 1.88118882e-10, ...,\n",
" 1.94256286e-12, 2.30497435e-12, 1.81767830e-11], dtype=float32, '1.00e+00'),\n",
" SimArray([[ 0.0178572 , -0.0131114 , -0.00092187],\n",
" [ 0.01790398, -0.01335163, -0.00124265],\n",
" [ 0.01781229, -0.01359182, -0.00148088],\n",
" ..., \n",
" [ 0.02442261, -0.03404816, -0.12244228],\n",
" [ 0.02445674, -0.03409909, -0.12243695],\n",
" [ 0.02456377, -0.03414645, -0.12243667]], '6.85e+04 kpc aform'))"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"by default everything is in system units... but sometimes thinking in physical units is easier:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.physical_units()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"SimSnap: converting vel units from 1.73e+03 km a s**-1 to km s**-1\n",
"SimSnap: converting"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" phi units from 2.98e+06 km**2 a**-1 s**-2 to km**2 s**-2\n",
"SimSnap: converting pos units from 6.85e+04 kpc a to kpc\n",
"SimSnap: converting"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" eps units from 6.85e+04 kpc a to kpc\n",
"SimSnap: converting mass units from 4.75e+16 Msol to Msol\n",
"SimSnap: converting"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" rhoform units from 1.48e+02 Msol kpc**-3 to Msol kpc**-3\n",
"SimSnap: converting rho units from 1.48e+02 Msol kpc**-3 a**-3 to Msol kpc**-3\n",
"SimSnap: converting massform units from 4.75e+16 Msol to Msol\n",
"SimSnap: converting tform units from 3.96e+01 s kpc km**-1 to kpc s km**-1\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have defined many useful quantities that are automatically calculated for you. For example, the radial and tangential velocities are simply obtained by"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s['vt'],s['vr']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"SimSnap: deriving array vt\n",
"SimSnap: deriving array v2\n",
"SimSnap: deriving array"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" vr\n",
"SimSnap: deriving array"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" r\n"
]
},
{
"output_type": "pyout",
"prompt_number": 14,
"text": [
"(SimArray([ 37.28290565, 81.78390831, 60.75947459, ..., 330.09191502,\n",
" 288.75911925, 303.1394157 ], 'km s**-1'),\n",
" SimArray([ 291.20028176, 281.05583586, 297.57331009, ..., 227.22613725,\n",
" 202.62874018, 208.42590924], 'km s**-1'))"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"you can get a list of all available derivable quantities "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.derivable_keys()[0:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 15,
"text": [
"['nefe', 'hetot', 'mjeans', 'ofe', 'ljeans', 'ne', 'feh', 'c_s', 'mgfe', 'oxh']"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Loading and centering/aligning halos"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"if we have information about substructure (i.e. from the Amiga Halo Finder) we can load in the halos: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h = s.halos()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"AHFCatalogue: loading particles..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" halos..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" done!\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"h[1]['mass'].sum().in_units('1e12 Msol')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 17,
"text": [
"SimArray(1.696392414687047, '1.00e+12 Msol')"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are not really near the main halo, so lets center the simulation there using the \"shrinking sphere\" method"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pynbody.analysis.halo.center(h[1],mode='ssc')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Finding halo velocity center...\n",
"vcen="
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [ 1.6295435 -58.21684952 -254.25581364]\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"we're going to work with the main halo a lot, so lets save a reference to it in a variable to save some typing... "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h1 = h[1]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Rendering images"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"lets look at a picture of the dark matter distribution of a part of the whole simulation..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"im = pynbody.plot.image(s.d,width='50 Mpc', units='Msol kpc^-2', cmap=cm.Greys)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"SimSnap: deriving array rho\n",
"Building 4 trees with leafsize=16"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n",
"Tree build done in 1.58 s"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n",
"Calculating density with 32 nearest neighbours\n",
"SimSnap: deriving array"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" smooth\n",
"Smoothing with 32 nearest neighbours"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n",
"Smoothing done in 5.87s"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n",
"Density calculation done in 2.07 s"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Rendering image on 4 threads...\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n"
]
},
{
"output_type": "display_data",
"png": 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Li4sA7riZDjIN0+rqKv79v//34fy3f/u38Tu/8ztDaawBrAWwNei1RRWzXr10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f//4BV2gtwxwV5ubmcO/ePdy/fx9vvvkmxsbGcPXq1SOpQ6PLIiIiIqIeiIQiIiIiIiIi4tCI\n+1BEREREREREHBqRUEREREREREQcGpFQRERERERERBwakVBEREREREREHBqRUEREPIe4fv16vYsQ\nERFxwhAJRUTEc4b5+XkMDw8DAO7fv4/x8XF8/etfr3OpIiIijjsioYiIeM4wOTmJ8fFxAMCNGzew\nvLyMpaWlOpcqIiLiuCMSioiI5wyLi4tl31HgHzWLiIiIqBSRUEREPEeYmZmJ8yciIiKOBJFQREQc\nY8zNzeHmzZsYGBjA6uoq8vk8rl27Zs6J+OCDDzA2NuZM886dOxgYGMBf/dVfYWlpCQsLC5iYmMD1\n69cxNzeHwcFBNDU14fr16weGSu7cuYPbt2/j9u3buHTpEubm5qpW14iIiMZG/Hx5RMQxxtWrV3Hp\n0iX09/fjo48+woMHD3D//v3kc+kc+Xwe+XwePT09Znr5fB6Li4t4/PhxEm5paQmzs7NYWFjA6Ogo\nFhYW8ODBA1y7dg3Xrl3Dp59+CgC4efMmXn/9dfzwhz8EAIyOjuLatWvY398/gppHREQ0GuK3PCIi\nTgDIIzE7O1s2P4JjcnISp0+fPvCRsomJCdy9exeffvop7ty5g5/+9KcH4t68eRO//vWv8e///u/J\ntbt372JiYgLz8/PY39/HyMgIlpeXk/tLS0uYm5vDD37wgyrUMCIiotERhzwiIk4Arl69ir6+PpNM\nAM/mT7i+eHrp0iVnHtL2oK+5Pnr0CLOzsxgYGCi7f+7cuUgmIiKeI0RCERFxArC4uIj5+Xnn/b6+\nPmca77//PiYnJzE1NaXez2QyZeeUXn9/P7744gt1mCUiIuL5QSQUERHHHFNTU7h9+zYAYGFhQQ0z\nMzODt956y0wjk8ngjTfewNjYGMbHx9V0pIdifn4emUwGV65cwTe/+c2kLDJM3OMiIuL5QJyUGRFx\nDLGysoIHDx7g1KlTGBwcxJUrV3D+/Hn87d/+LRYXFzEyMoLe3t4k/AcffJBMltRAZOGnP/0pPvnk\nE1y9ehVLS0tlafD5EcCzORnvvfcegGcbZJ0/fx7ju2aQkAAAAWpJREFU4+N49OgRRkZGsLi4iMXF\nRbz77rvVrHpERESDInooIiKOIT766CNcv34dDx8+xJUrVwAAb775Ju7evYv+/v4yIjA/P4/Lly+r\n6czNzeH+/fvIZDJ4//33sbKygj/5kz9BPp/H8PAw/u7v/q4s/FtvvYW33noLo6OjGB0dxdtvv11W\nppGREdy5cwejo6NYWlqKZCIi4jlCXOUREXHCMT4+jj/7sz/DhQsXKk5DW+URERERwRE9FBERJxwP\nHz48FJmIiIiICEEkFBERJxizs7P4/ve/X5W0ojMzIiLChUgoIiJOMCYnJ/Hmm28eKo2ZmRnMzc1h\naWkJ77//fly1ERERoSLOoYiIOMEYHR3FBx98UO9iREREPAeIhCIiIiIiIiLi0IhDHhERERERERGH\nRiQUEREREREREYdGJBQRERERERERh0YkFBERERERERGHRiQUEREREREREYdGJBQRERERERERh8b/\nB7kfdGHHZHCeAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pynbody.plot.image(h[1].g,width='200 kpc', av_z=True, cmap=cm.Blues)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"SimSnap: deriving array smooth\n",
"Building 4 trees with leafsize=16\n",
"Tree build done in 0.179 s"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n",
"Smoothing with 32 nearest neighbours\n",
"Smoothing done in 0.711s"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Rendering image on 4 threads...\n",
"Rendering image on 4 threads..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"\n"
]
},
{
"output_type": "pyout",
"prompt_number": 21,
"text": [
"SimArray([[ 2.88846922, 2.88959765, 2.89072299, ..., 2.79187107,\n",
" 2.79035592, 2.78883553],\n",
" [ 2.89037466, 2.89152503, 2.8926723 , ..., 2.79335999,\n",
" 2.79184461, 2.79032445],\n",
" [ 2.8922708 , 2.89344311, 2.89461231, ..., 2.79484534,\n",
" 2.79332972, 2.79180932],\n",
" ..., \n",
" [ 2.86993766, 2.87117672, 2.87241149, ..., 2.94587636,\n",
" 2.94436622, 2.94285417],\n",
" [ 2.8677671 , 2.86902452, 2.87027717, ..., 2.94492722,\n",
" 2.94342232, 2.94191527],\n",
" [ 2.86557865, 2.86685491, 2.86812615, ..., 2.94397521,\n",
" 2.94247556, 2.94097376]], dtype=float32, 'Msol kpc**-3')"
]
},
{
"output_type": "display_data",
"png": 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k2T5Qee1VrihYcDQOskxwydOXtdvVP1ZBBpyduKKht5whomoiMDs7i88//9zY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\n"
}
],
"prompt_number": 21
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Typically we want to make sure the system is aligned in some predictable way, so pynbody allows us to easily make the disk angular momentum axis the z-axis:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pynbody.analysis.angmom.faceon(h[1],cen=(0,0,0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Finding halo velocity center...\n",
"vcen="
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" [ -1.28863327e-14 4.35041217e-13 1.22950847e-12]\n",
"Calculating angular momentum vector..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Transforming simulation...\n"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"we use `cen=(0,0,0)` because we have already centered it in the previous step... if you don't specify a center, it is first centered and then aligned. Now lets look at a slice of the gas disk edge-on: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s.rotate_x(90)\n",
"pynbody.plot.image(h[1].g,width='50 kpc')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Rendering image on 4 threads...\n"
]
},
{
"output_type": "pyout",
"prompt_number": 23,
"text": [
"SimArray([[ 4.30579233, 4.3053627 , 4.30493307, ..., 4.29346848,\n",
" 4.29336834, 4.29326868],\n",
" [ 4.30502033, 4.30465651, 4.3042922 , ..., 4.29569912,\n",
" 4.29556561, 4.29543209],\n",
" [ 4.30424738, 4.30394936, 4.30365086, ..., 4.29791832,\n",
" 4.2977519 , 4.29758501],\n",
" ..., \n",
" [ 4.38699722, 4.38589144, 4.38478279, ..., 4.30010843,\n",
" 4.30049133, 4.30087376],\n",
" [ 4.38567305, 4.38447905, 4.38328171, ..., 4.29782391,\n",
" 4.29807377, 4.29832363],\n",
" [ 4.38434505, 4.38306236, 4.38177586, ..., 4.29552698,\n",
" 4.29564285, 4.29575872]], dtype=float32, 'Msol kpc**-3')"
]
},
{
"output_type": "display_data",
"png": 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3GSqD2PdZU+m+bylW0fPYgb7yHKsOnLB2TCTvg+8jj/0IecmGIqO1UdS4opfr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icX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\nAElFTkSuQmCC\n"
}
],
"prompt_number": 23
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By default, `rho` (i.e. density) is used to render the image, but you can *any* valid array is fair game:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pynbody.plot.image(h1.g,qty='temp',width='40 kpc')\n",
"s.rotate_x(-90)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Rendering image on 4 threads...\n"
]
},
{
"output_type": "display_data",
"png": 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i7tHpNflbmrjLl+4LitP3nFUcBzfBEaIidR/GGRTZt20tAKMldSEmrd1pjZ1N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\nVf1pzCk+HgQAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 24
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Profiles"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = pynbody.analysis.profile.Profile(h1,max='200 kpc',min='.1 kpc',type='log',bins=100)\n",
"ps = pynbody.analysis.profile.Profile(h1.s,max='50 kpc',bins=50)\n",
"pg = pynbody.analysis.profile.Profile(h1.g,max='50 kpc',bins=50)\n",
"plot(p['rbins'], p['density'], label = 'all')\n",
"plot(ps['rbins'], ps['density'], label = 'stars')\n",
"plot(pg['rbins'], pg['density'], label = 'gas')\n",
"semilogy()\n",
"xlim(0,50)\n",
"legend()\n",
"xlabel('$R$ [kpc]')\n",
"ylabel('$\\Sigma$ [M$_{\\odot}$ kpc$^{-2}$]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Profile: density()\n",
"Profile: mass()\n",
"Profile: density()"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Profile: mass()\n",
"Profile: density()"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Profile: mass()\n"
]
},
{
"output_type": "pyout",
"prompt_number": 25,
"text": [
"<matplotlib.text.Text at 0x10d80fc10>"
]
},
{
"output_type": "display_data",
"png": 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kCO9d9V6z1l/2Jrcbysrgk09MCRnP48aNZgzhlVfCrbeCqv2IiIi0jVafBAJm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\niIiIapj/BzzxAF718qx+AAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 25
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `Profile` class has lots of built-in functionality... including calculating a rotation curve:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(p['rbins'], p['v_circ'], label = 'all')\n",
"plot(ps['rbins'], ps['v_circ'], label = 'stars')\n",
"plot(pg['rbins'], pg['v_circ'], label = 'gas')\n",
"xlim(0,50)\n",
"xlabel('$R$ [kpc]')\n",
"ylabel('$V_{circ}$')\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Profile: v_circ() -- warning, disk must be in the x-y plane\n",
"Rotation curve calculated in 4.59 s"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Profile: v_circ() -- warning, disk must be in the x-y plane"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Rotation curve calculated in 2.21 s"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Profile: v_circ() -- warning, disk must be in the x-y plane\n",
"Rotation curve calculated in 0.652 s"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"output_type": "pyout",
"prompt_number": 26,
"text": [
"<matplotlib.legend.Legend at 0x10d7f8650>"
]
},
{
"output_type": "display_data",
"png": 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wDRwIgwcba/sOGVL1Z4WIiNmaNOAlJycTEBCAzWZj3bp1pKamEh4ezoEDB/Dz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\nLDMwMLC2370nGb8lG3i9Xqm2tlZ5PjU1JZWVlUl+v38D94oWIw/S6fV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}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`Profile` can use *any* loaded (or loadable/derivable!) array: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(ps['rbins'],ps['age'])\n",
"xlabel('$R$ [kpc]')\n",
"ylabel('Age [Gyr]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"SimSnap: deriving array age\n"
]
},
{
"output_type": "pyout",
"prompt_number": 27,
"text": [
"<matplotlib.text.Text at 0x10b44ed90>"
]
},
{
"output_type": "display_data",
"png": 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mjK1BdCTQJPhVV1dj2bJlMBgMKC8vd3qsmjePaWtrQ2dnZ8/HeXl5KC4u7jmy\nrbCwEE899RRmKvu9iYgiwJkzwJ/+BNxxh/zek6NHZYrN1+BnMDjf2fvee9Isd9o0367n6NprpVWG\ncv1jx4AbbwT+9jc5Cm7kSO//jPZ275bTQW67Ta5B2ps4Ub6On36q3SYTXynBL5I2dgAatXPJzs72\neISap8fk5OSg28lhjwUFBSgoKAh4jEREvmhqAsrLgcWL/V/35o3mZqmIvfuufHzZZcCPf+z+OZ9+\nKlU1fxa/T5wIVFX1vm/DBmDq1MCrINdeK7evvy49A6+7Dvjf/4A//xm4805g0iTghz8Enn4a8OW/\n9d/9Tv68994b2PhIPfbfe+ES/IYOlXYx4XD+ri80n+olIgp3p04Bc+YA99/v/qSLQFitwMqVwKWX\nAlu2AM88A2RkyGseOeL+uUrrFV9auShSUoB9+4CDB+XjEyeATZvUOWd37Fjg4ouBf/4TmDED2LgR\n+PvfJfQBwP/9H3D11RKm29u9u+aXXwJlZcDNN4dPwIgG9ru/w+nrsnYt8JvfaD0KdTH4EREF6JFH\ngM2b5fcffqj+9XftkpYVd9whgeujj6Tq9/jjwN69UuFyZc8eCYdXXikVNF85Ht1WXy/hT63WINde\nC9TVydqv//yn985TgwH4y1/kvN377/fuen/8o7SI4RHt+hIbK2vlgPAKfpdeKlW/SMLgR0QUgM2b\ngd/+FrjpJpkaUjv47dkjbz4bNwIlJcCaNba1R1ddBcyeLRsZ9u3r+1yrVda5nTol6+b82fXoGPwC\nadzszK23AtOnSzuO3Ny+n7/kEmDBAqniedro0dUl08R5eZE3PRcJlK9JuGzuiFQMfkREfjp5UtbX\nDR8ugWPaNJkG9eTUKeCFF+T5njz0kEzlbtokx5s5rh9ctkx2wv7yl32fW1IiU1WPPeb/AnWTSQ6n\nV3b2btgg96m1aWLCBGD9euDyy10/ZskSqbrceaf7jR4rV0r4W7xYnbGRui65BBg2DBgxQuuRRDcG\nPyIiPz38sJwRWloqTWkzM6UCeOKE++etXi2bFlascP+4piZZy1dY6Hp9nskE/PSnwLPPAnbdrdDU\nBPziFzJFPH++T3+sXgYMkNDY2CgVxA0b1Kv2eWvYMAmvH34ofx/OHD0qU9/XXAOwX78+/frXsikp\nmJufyDMGPyIiP9TXS/D74Q+B735X7svIkGreli3un6ucVvHww9LbzJUlSyR4eVrfdv/9EjzvuUfC\nWXc3cMv77yXwAAAgAElEQVQt8tynnw78jTYlRSp+zc2yeSLUwQ+wbfRYtEiqn47tXZ95RsZ2332h\nHxt5Jy5Oqn6kLQY/IiIfnTghwercc2UzgSIzU249TffW1EhI7NdP1q8562P/0Ueyw3XBAmmk7I7R\nCDz4IPD228Brr8lmjw0bZPrZlyPaXJk4UUKfEli1CH7KRo/jx+XvOTER+NnPZJr4+HGpnl59tfwi\nItcY/IiIfPTQQ8C2bcCqVVLFUJx/PjBqlPsNHp9/Lsed5edLWHvjDeDf/+77uF/9SjaLLFzo3ZgK\nCyWgLVggz73xRqmSqSElRdYRPvechEx/2sKo4ZJLpBH1X/8qG15KSuTot+HDpWkzq31EnjH4ERH5\n4PBhqS7dfLOtAbHCYJBKnrvgt3693M6YIWvzLr5Ybu178W3aBLzyikzdJiR4N64BA2Qd3K5dEs5K\nStRbS6Xsxnz3XeCKK9Q/E9UXCQlSbX31VTkzuKICuP562WTjbFcwEfXG4EdE5IPNm2Ud39y5zj+f\nmSkVva4u55+vqZFKXlqahLWVK6Va9dBDtsfcf79Use6+27exffvbEkpfeUXdnZP2rVG0mOZ1JTZW\n2tm8+KJsbuGmASLPGPyIiHxQVye3U6c6/3xmpqzZUx7naP16WYfW/+sDM6+6SipYv/sdsH27fH7d\nOtnEMHSob2MzGOSYsiuu8O15ngwdamu+q6fgR0S+Y/AjIvJBba1stnC14WLaNLl1Nt37xReyO3bG\njN73r1gh4erOO6XaN3q0nNKhJykpElaVDSxEFJ76az0AIqJwUldnC3fOxMdL3ztnO3uV9X1ZWb3v\nHzECWLrU1m9v5Upg8GBVhquaW2+V/nhDhmg9EiIKBCt+REReOnxYGhm7muZVZGY6r/itXy/r0pw1\nGC4okPNvx48HfvITdcarph/8QI6GI6LwxuBHROSlzZtl/Z43wW/PHmD//t7319TImr7+TuZaYmKA\nt96SqeSBA1UbMhFRLwx+REReqq2VW0/BLyNDbu2new8ckM0bjtO89s46y/cNHUREvmDwU8np08Bd\nd0m3fSKKTHV1svHC00kaaWlyKof9dO8778it48YOIqJQYvBTSVOTHCc0Zw5w7JjWoyGiYKir81zt\nA2RjxuTJvYNfTQ1w9tnePZ+IKFgY/FSyb5/cNjYCixdrOxYiUp+3GzsUGRky1aucw1tTIz3wBgwI\n2hCJiDxi8FOJEvyuuUYOba+u1nY8RKSuhgbvNnYoMjMBi0VmA778Evj4Y/fr+4iIQoHBTyVK8Hv2\nWWDCBOnEb7FoOSIiUpOnEzscKY2OP/zQtr6PwY+ItMbgp5L9+6U/18iRwPPPy8cLFmg9KiJSi7cb\nOxQpKdLseNMmmeYdMsR942ciolBg8FPJvn3ypgDI2p5f/Qp44QWgokLbcRGROrzd2KHo318e/+GH\n0riZ6/uISA8Y/FRiH/wA4L77JADOn9+3iSsRhZdDh3zb2KHIzJTAuG0b27gQkT4w+Klk377eU0AD\nBsiU77FjchQTEYUv5cQOX6dqMzOBkyfl91zfR0R6wOCnAqtVqnr2FT9ANnn8/OfA668DBw9qMzYi\nCpyvGzsUygkegwfbfk9EpCUGPxV0dUllzzH4Abb/7LdvD+2YiEg9tbXy73vUKN+el5gIjBgBXHkl\nz98lIn1wclQ4+Upp5eIs+E2aJLfbtwOXXx66MRGRenzd2KEwGIDycgl/RER6wOCnAiX4OWvzkJQE\nDBokzVuJKPwcOgR88glw003+PZ9r+4hITzjVqwJ3Fb9+/aSfF4MfUXhSNnbwjF0iigQMfipQ2rW4\nauyamso1fkThqrZWbhn8iCgSMPipYN8+4Jxz5OQOZyZNAnbv5s5eonCknNjh68YOIiI9YvBTgWPz\nZkf2GzyIKLzU1fGoNSKKHAx+KnBs3uwoNVVuuc6PKLwoGzs4zUtEkYLBTwXOmjfbU3b2suJHFF4a\nGrixg4giC4NfgKxWz1O93NlLFJ78PbGDiEivGPwC1NkJnDjhPvgBss6PwY8ovGzeLMs4uLGDiCIF\ng1+A3DVvtpeaCuzZI8e7EVF4aGy0rdElIooEDH4BUnr4eVPxA4AdO4I7HiJSh9Uq/15TUrQeCRGR\nehj8AuTu1A57SvDjdC9ReNi/X3b1Tpyo9UiIiNTD4Bcgb6d6ExN5Zi9ROFGq86z4EVEkYfAL0L59\nwLBhwJAh7h+n7OxlSxei8NDYKLes+BFRJImK4Nfa2hq0a3tq5WKPO3uJwseOHXIUo6dqPhFRONEs\n+LW0tKCoqAjV1dVOP19ZWYn8/Hw8+uijyM/Pd/k4Z9eNiYnp9Wv16tVqDr0XT82b7U2axJ29ROGi\nsVGqfQaD1iMhIlJPfy1etLq6GiUlJVi9ejVyc3P7fL6yshKFhYXo6OgAAHR1dSEpKQkVFRXIzs52\ne+0VK1agrKys133z5s1Tb/AO9u0Dpk/37rFKW4jt24ErrgjakIhIBTt2AGaz1qMgIlKXJsEvOzsb\n8fHxLitxBQUFmD9/fs/Hw4YNQ35+PoqLi1FbW+vyuhaLBR0dHUENeva8ObXDnrKzl8GPSN8OHpR/\n21zfR0SRRrOpXqvV6vT+qqoqdHV1ISMjo9f96enpqK+vR1tbm8trLl26FJWVlYiPj8f8+fPR0NCg\n5pD7aG8HTp3yfg1QUhIweDDX+RHpnbKxgzt6iSjSaFLxc6e+vh4AkJyc3Ot+5eP6+nokJiY6fW5m\nZiYKCwtRXV2NsrIylJWVobS0FAUFBU4fb7FYYLFYsGTJEgBAVlYWsrKyvB6rt82bFTExPLOXKBxw\nRy8R6UFNTQ1qamp6PrZYLDAajQFdU3fBr7m5GQD6/MHi4+MByOYNV/Ly8pCXlwdA1hHOmTMHRUVF\nyMnJQVJSUp/HG41GGI3GnuDnK2+bN9tLTQXsvoZEpEM7dgADBgAOP38SEYWUY0GqRoUAobt2LoEm\nWUV2djbq6uoAAKWlpapc05E/wY87e4n0r7ERGDdOwh8RUSTRXfBLSEgAIOVMe8oOX8cpYHeSkpKQ\nk5ODriClLG9P7bBnv8GDiPSJZ/QSUaTSXfAzf90/QQl6CmWKNz093afrDRs2TLUqoqN9+4C4ODmK\nzVtKSxeu8yPSp1OngOZmru8josiku+CXlpYGo9GItWvX9rq/rq4OJpPJ5cYOVxoaGjB37lwVR2jj\nS/NmhbKzlxU/In1qagJOn2bFj4gik+bBz1lbl1WrVqGysrLnY4vFgoqKil5r9aqqqmAymXpattTX\n18NsNvc64aOsrAxz5szBlClTgjJ2X3r4Kbizl0jfuKOXiCKZZid3lJaWwmAwoLy8HEajsdeJHHl5\neejo6EB+fj4yMjKwadMmPPXUU5g5c2av67S1taGzsxMAEBcXh9bWVpjNZuTk5CA9PR2zZs1CYWFh\n0P4c/jZ4nTQJeOst9cdDRIHbsUNuGfyIKBJpdnKHp6PXCgoKXPbfA4CcnBx0d3f3fJyUlISmpibV\nxujJmTMy1evPAe6pqcDzzwMWCxCk5YdE5KfGRuD884HYWK1HQkSkPs2nesNVe7usA/J1qhew7exV\nKgtEpB/c0UtEkYzBz0/+9PBTKMGP6/yI9MVqlYofp3mJKFIx+PkpkOCXmAgMGQJs26bqkIgoQHv3\nAocPs+JHRJGLwc9P/jRvVsTEAFOmAF8fS0xEOsEdvUQU6Rj8/BRI8AOAqVOBhgbAbn8KEWlMWXfL\nih8RRSoGPz/t3w8kJABnneXf86dNA44cAT75RN1xEZH/GhuBYcOAkSO1HgkRUXAw+PnJn+bN9qZO\nldvaWnXGQ0SBU3b0Ggxaj4SIKDgY/PwUaPCbOFE2eNTVqTcmIgoMd/QSUaRj8PPTvn3+r+8DgH79\ngLQ0VvyI9KKrS5ZwcH0fEUUyBj8/nDkDfP55YBU/QNb5bd4sjaCJSFvc0UtE0YDBzw9ffim7cdUI\nfkeP2t5wiEg73NFLRNGAwc8PgTRvtscNHkT6sWMHMHAgkJSk9UiIiIKnv7tPrlq1CgY/trclJydj\n5syZfg9K7wLt4acYP14Ogq+rA265JeBhEVEAGhuBiy4C+rv9X5GIKLy5/S+uqKjIr4uazeaoCH6B\nVvy4wYNIP3bsACZP1noURETB5Xaqt7CwEGfOnPH5V1paWqjGr4n9++V21KjAr8UNHkTaO3ECaGnh\n+j4iinxug5/JZPLrogkJCX49L1zs2weMGCHrgQI1dSpw/DiwfXvg1yIi/7S1yYat8eO1HgkRUXC5\nDX6zZ8/266L+Pi9cfP65OtU+QCp+ABs5E2mpq0tu4+O1HQcRUbC5DX5JDtvbpk2bhttvv93jRR2f\nF2ksFiAuTp1rXXQRMHQo1/kRaenIEbk9+2xtx0FEFGw+tXNpbm5GTk6O0891KT8yR4GuLjnIXQ0x\nMUB6OoMfkZYY/IgoWvgU/N566y20trY6/VxFRYUqAwoHFot6wQ+Q6d4tW4BTp9S7JhF5j8GPiKKF\nTx2riouLUVtbi6VLlyLebjGM1WpFa2sr5s2bp/oA9UjNih8gGzxOnAA+/hiYMkW96xJFoi++kH+D\nhw4Bhw/L7dGjwFVX+d9iicGPiKKFT8EvLS0N7e3tSE5O7vO5jo4O1QalZ1YrcPCg+hU/QDZ4MPgR\nufbLXwIPP+z8cwkJwEsvAdnZvl/38GG5ZfAjokjnU/CbP38+5s+f73TzRmVlpWqD0rMjR6Ttg5rB\nz2SS69XWArfdpt51iSJJTQ3wyCPA7NnADTfIqTexsbI56uRJoLAQmDULWL4cuOcewJdDh1jxI6Jo\n4VPwMxgMSExMdPq5SG/holD2sKgZ/JQNHmzpQuRcVxfwox8B48YBzz7rPKB98AFw663AvffKD1FP\nP+19kDtyRILioEGqDpuISHd82tyRnp6Oxx57DAcPHgzWeHQvGMEPsG3wOHlS3esSRYIFC6Rx+gsv\nuA5zsbFAeTmwbBlQUQFccQXQ3Ozd9Y8ckev6cTQ5EVFY8Sn4LVu2DElJSZg3bx7y8/Px8ssvB2tc\nuhWs4Dd1qoS+jz5S97pE4a6iAnj+eeBXvwIyM90/1mAAiouB//4X2LNHHt/Z6fk1lOBHRBTpfAp+\nhYWFyMvLQ3l5OcrLy3HmzBnk5+fj9ttvx+bNm4M1Rl0JZsUP4HQvkb29e4GiIglw993n/fNmzQLK\nyoCODu+qfkeOSMWQiCjS+bTGz1FnZyfq6+vR0tKCTZs2IT4+Hvn5+RHd1iVYwS85GTAaZW1SQYG6\n1yYKR2fOAD/5ibQ6ev55YMAA356vHBmu7Nh1hxU/IooWPjdwPnjwIBYtWoSYmBgUFRUhOTkZdXV1\nqK2txdq1a2E0GjFt2rSIrQAGK/gZDDLdy4ofkXjySWDtWuB3vwPGj/f9+UoFj8GPiMjGp4qf/XFt\nhYWFKC4u7tPaZfbs2di0aRPmzJmDzz77TJ1R6kiwgh8g072PPy4VjrPOUv/6ROHCYgEWLgS+/W2Z\n6vUHgx8RUV8+VfwAYOHChejs7ERJSYnTfn4AUF9fj2Zvt9OFma4uab8SjPVAM2bIsW3/+If61yYK\nJ+++Cxw7JuHP3522DH5ERH35VPFbu3Ztr6qfK8uXL0enN1vpwpByXFsw2j5ccw2QkQH8+tfA97/P\nnmIUvd55Bxg4ELjsMv+vweBHRNSXTxW/nJwcNDQ0eHxceno6sv05NykMWCzBmeYFJEwuWwbs3i3r\nm4ii1fr1EvoC+eFHCXIMfkRENm4rfgcPHkRHRwcsFguGDRuGpKQklJaWYty4cTAajT2Pi4+Px403\n3hj0weqBUvELlpkzpRXFww/L8W3BfC0iPTp0CKivBxYvDuw6AwfKLwY/IiIbt8HPaDTCYDAgLS0N\nq1atAgC0t7ejrKys1+MMBgPWrVuHmTNnBm+kOhHs4AdI1S89HVixwvWB9ESRasMGOQ97xozArxUb\n6zn4Wa0MfkQUPTyu8SsoKEBJSUnPxwkJCSgtLUVcXFzPfZs2bUJFRUXUBL+xY4P7GmlpwE03Ab//\nPXDXXcB55wX39Yj0ZP16oH9/OXItUN4EvxMnpGcggx8RRQOPwc8+9AGA2WxGXl5er/tmz56NWbNm\nqTsynQpFxQ8AHnpIjqr6zW+AlSuD/3pEerF+vWxyUiOIeRP8jhyRWwY/IooGbjd3ONvB6xj6ok2o\ngp/JJP3LVq0CIrAdIpFTR48CmzapM80LMPgRETnyuY9fNLNagYMHQ7fh4le/kl2Nv/xlaF6PSGsb\nNwKnTzP4EREFi9vg19LS4vWFfHlsuDpyRBadhyr4jRwJ/PznQHm5nOFLFOnWrwf69QO+8Q11rsfg\nR0TUm9vgl5aWhsVe9FRYtGiRV42dw10wj2tz5Re/kMPmly8P3WsSaWX9etnRPnSoOtdj8CMi6s3t\n5o7Fixdj2rRpPb8/55xzen2+q6sLxcXFKCsrQ11dXfBGqRNaBL9zzpHefvX1oXtNIi0cPw588IHs\nZFcLgx8RUW9uK37p6elYtmwZli9fjri4OGRkZGDu3LmYO3cucnNzERcXh7KyMixcuBBpaWk+vXBL\nSwuKiopQXV3t9POVlZXIz8/Ho48+ivz8fJePU+t53tAi+AFASgrQ2ipvjESR6oMPpLWKWuv7AAY/\nIiJHHtu5LFy4EMnJySgoKEBdXV2fyt7y5ctx7733+vSi1dXVKCkpwerVq5Gbm9vn85WVlSgsLERH\nRwcAqSwmJSWhoqLC7VFw/j7PW0rwszu0JCRSUqTP2KefApMnh/a1ifyxfj1w7JicP+3LcwwG4Oqr\n1RtHbKwEuzNngBgXP+Yy+BFRNPEY/ADp0zd79mzU19ej9utdBiaTye8wlZ2djfj4eKxevdrp5wsK\nCjB//vyej4cNG4b8/HwUFxf3vL6az/OWxaJcN+BL+SQ1VW537GDwo/Bwyy1AWxtw3XXAE08AiYme\nn/POO8Cll6r7g1VsrNwePWr7vSOlIsjgR0TRwO1Ub2tra6+P09PTUVhYiMLCQrehz/F5zlitVqf3\nV1VVoaurCxkZGX1eu76+Hm1tbao+zxdaTfWOHy/Vih07Qvu6RP44eFBC35VXAtXV8oPL8uXAyZOu\nn3PyJPDee+pO8wK2sOduupcVPyKKJm6DX2VlpV8X9fd5AFD/9S6G5OTkXvcrH9e72OXg7/N8oVXw\nGzQISEpi8KPw8NFHcrtokXzP5ubK79PSpKrnTG2tTA1rGfwGD1b3tYmI9MjtVG97e7tfF/X3eQDQ\n3NwMADA6zPfEx8cDcN0v0J/nWSwWWCwWLFmyBACQlZWFrKwsl2Pr6pIeY1pUBlJSgO3bQ/+6RL7a\nulVuJ0+Wc63/9S/gtdeABQsk2D3wgPwyGGzPWb9ebtVc3wd4H/yGDHG9BpCISCs1NTWoqanp+dhi\nsfTJOb5yG/xWrFiBVatWuZyWdcZiscBsNvs9IH//QP48z2g0wmg09gQ/T7q6pL2K/RtWqKSkAGvX\nyqkG/b1amUmkjW3b5N/J2LG2+667TtoS3Xkn8OCDslHpmWekmg1I8Lv4YmD4cHXH4m3w4zQvEemR\nY0HKPgT6y22EWLZsmV8XNZlMfj0PABISEgBIgLSn7NR1nMoN9Hm+CNU5vc6kpMg6qNZW4KKLtBkD\nkTe2bgUuuaTvD0hnnw389a/AxInA4sWyDvCVV4D4eGDDBuBHP1J/LAx+RES9uQ1+CxcuDNU4epjN\nZixatKgnsCmUqdr09HRVn+cLrYMfIGumGPxIr6xWqfj94AfOP28wyHq/iy4CfvhD4LLLZNr38GH1\n1/cB3gc/Vzt+iYgije5WtaSlpcFoNGLt2rW97q+rq4PJZEKii74Q/j7PF3oJfkR6tXu3/Du55BL3\nj8vLk+nd48eBW2+V+6ZPV388rPgREfWmefBztn5w1apVvXYGWywWVFRUoLS0tOe+qqoqmEwmNDQ0\n+PS8QGgZ/IYNA0aPZvAjfbPf2OFJRgbw4YfAlClS+Rs1Sv3xKMFP2bnrDIMfEUUTTbYJVFdXo7S0\nFAaDAeXl5TAajb36Aubl5aGjowP5+fnIyMjApk2b8NRTT2HmzJm9rtPW1obOzk6fn+cvLYMfIFU/\nBj/Ss23b5Pbii717/AUXyDnU7nr8BcLbit/Xm/+JiCKeJsEvOzvb46kfBQUFKCgocPn5nJwcdHd3\n+/y8QOgh+P3tb7KOSoudxUSebN0KXHihb/9ODAbgrLOCM55Bg6RNC6d6iYiEX1O9XUonY0j1LhpY\nrfoIfocOAXv3ajcGIne2btXXsYIGg1T9GPyIiIRPwa+1tRXjxo1DTk5Oz31xcXHIz89XfWB6c/iw\nHPSu5jmivuIGD9KzEyeATz7xvLEj1Bj8iIhsfAp+RUVFsFqtiIuL67kvPT0dOTk5WLx4seqD0xOt\njmuzx+BHerZjB9Ddra+KH8DgR0Rkz6fg19HRgebm5j7NkKdNm6bazlm90kPwGzlSKo4MfqRHysaO\ncKr4nTwpp+Ew+BFRtPAp+E2bNs3p/dXV1X1OzIg0egh+BgOQmsrgR/q0dSswcCAwfrzWI+nNXfBT\n2rww+BFRtPAp+JlMpl4bOwDpnVdcXKzKyRh6pofgB7ClC+nX1q3yg4nezpJm8CMisvHpv+h7770X\nZrMZdXV1qK2tRX19PQDAaDSioqIiKAPUCz0Fv6efBtrbga+PJybShW3bALNZ61H0FRsLfH1yYx8M\nfkQUbXz+2XzdunWoqqrCunXrkJ2djXHjxgWtb56e6Cn4AVL1u+oqbcdCpPjqK2D/fv1t7ABY8SMi\nsudT8KuurkZ2djZycnJ6tXRRNDQ0IDk5GcO0TkdBwOBH5JpeN3YADH5ERPZ8Cn6lpaUwmUywWCxI\nTk7GOeec0/O5adOmIScnByaTCQkJCbjxxhtVH6yWurqAfv20f4O48EJg8GCu8yN98eWM3lBTgp+z\nE28Y/Igo2vi0uaOyshImkwnp6ekwGo24/fbbAQBVVVWor6/H4sWLUVBQgPb2dmzevDkoA9ZKVxdw\nzjnaH5UWEwNMmMDgR/qydSswfLi0HNKb2Fhp2eLsPGAGPyKKNj4f2ZaXl4d169ahqakJ2dnZWLVq\nVU8rF2WKd86cOXjkkUfUHanGtD6uzR539pLebNsm1T6tfzByJjZWbp1N9yr3MfgRUbTwKfgVFhai\nvLwc2dnZSE5OxuzZs50+zmg0oqqqSpUB6oWegl9qKrBzp61aQaSl7m7go4/0Oc0LuA9+rPgRUbTx\nKfgZHQ6qra6uxrp162AwGHp9zmKxRFxDZ4tFP8FP2eDR2KjtOIgAaZVy7Jg+N3YADH5ERPZ8Cn7J\nyckYN24ccnNzMW7cOJjNZmRkZOCll15CfHw82traAAAVFRV9jnULd11dclyaHvDMXtITPW/sALwL\nfkOGhG48RERa8mlXb2FhIeLj41FaWork5GQsX74ceXl5KCsrQ35+PpYtW9bT2Hn58uXBGrMm9DTV\nO26c7DBm8CM92LbNdpygHnkKfoMGyb8nIqJo4HMD59mzZ/dZ21dYWNjzucrKSnR2dkZcU2c9Bb+B\nAyX8MfiRHmzdClx0kX6rZp6CH6d5iSiaqHaq5ubNmzFlyhSXGz7CmdUKHDyon+AHcGcv6cfWrcCU\nKVqPwjUGPyIiG5/buTjT2toacRU+e4cPA2fO6C/4NTUBp05pPRKKZocPy+YOva7vAxj8iIjsBRT8\nqqurMWvWLJhMJtTX16s1Jt3Ry3Ft9lJTpSltU5PWI6Fo9vHHUhFn8CMiCg9+Bb9Vq1b17OqtqqpC\nUlJSRJ7Pq9Bj8JswQW4//VTbcVB02rULeOABIC9PTpNJS9N6RK4paw9dBT8lGBIRRQOvg19XVxcW\nLVqE+Ph4FBUVoaWlBQsXLkRzczOam5tRVlYWzHFqSo/B7/zz5XbfPm3HQdHj9Gng3/8Grr0WSEwE\nHnoIuPhi4PXX5QxpverXT8IfK35ERF5s7mhoaMDSpUtRWVkJAEhPT8eiRYtQVlaGZcuW9TwuEjd1\nKPQY/M49VyotDH4UClYrcOWVwKZNwHnnAfffD9x2mwTAcBAby+BHRAR4CH5msxnV1dUAJNgtXrwY\naV/P6URyhc+RHoNfv37AqFHA3r1aj4SiQVubhL777weWLAH6q9YPIDQY/IiIhNup3oqKCixbtgxp\naWnIyMjoCX3RRo/BDwBGj2bFj0KjtlZub7gh/EIfwOBHRKRwG/yMRiMWLlyIuro6pKWlIT8/H4sX\nL0Zra2uoxqcLyrHDegt+Y8Yw+OmJ1Rra1ztyBDh5MjSvVVsLDBgga/rCEYMfEZHwenNHTk4OysvL\nUVBQgJKSErS0tODll1/u+fxbb70VlAHqQVeXTK3q7Q2CFT/9OHUK+OY3gZtvDt1rXnklcPfdoXmt\nujpp2XLWWaF5PbU5C36nT0tw1tu/ayKiYPK5nYtyRm9TUxO++uorTJs2Dfn5+SgqKgrG+HRBOa7N\nYNB6JL2NHg20twMnTmg9EvrNb4D164HKSueVJbV98YWcmPH668F/LatVgt/UqcF/rWBxFvyOHJFb\nBj8iiiYBNXAuLCxEbW0t8vPz0d7ertaYdEdP5/TaGz1abvfv13Yc0e7dd4FHHgHS0yWEr10b/Nfc\nuFFud+6UX8HU0iLLHaZNC+7rBBODHxGRUOXIttmzZ6O8vFyNS+mS3oMfd/Zqx2KR6d2kJKCqCoiP\nl153waYEPwB4553gvpaysYPBj4go/KkS/ABZAxip9B78uM5PG1YrMH++BO8XXwTi4qS58X/+I+vH\ngmnjRiAzEzAavQt+778PvP22f69VWwsMHAhMmuTf8/WAwY+ISKgW/CKZXoPfmDFyy+CnjeefB156\nCXjwQeCyy+S+668HOjqA//0veK978qT01PvGN4Crr5a1hZ7cdhtw553+vV5dHXDppRL+wlVsLHD8\neO9AzuBHRNGIwc8Leg1+8fHyZszgF3rNzRKkpk8HFi2y3Z+bKztfgzndu2WLhJgrrgBmzAA++8z9\nOgqGAaQAACAASURBVM+mJmD7dlmrd+aMb6915owEv3Ce5gVs5/EqYc/+9wx+RBRNGPy8oNfgZzCw\npYsWTp0C/u//pJHx889Lqx9FbCyQkyPBL1h9/ZT1fVdcIcETcD/d++qrcnvihO8bgZqagIMHw3tH\nL2ALfvbTvcrvGfyIKJow+Hlgtcobnx6DH8Dgp4U//AH44AOgtBQYO7bv56+/HmhtBT76KDivv3Ej\ncP758istTUKNp+CnhNOWFt9eq65ObiOl4mcf/FjxI6JoxODnweHDMt3F4EcAcOAA8NBDsokjP9/5\nY667TqqxwZru3bhRmjcDUnX8xjdcr/Nrb5f1hnPmyMfNzb69Vm2tTF2npvo/Xj1g8CMiEgx+Huj1\nnF7F6NFs5xJKv/41cOwY8Nhjrh8zapRs9ghG8Nu/X/r2XXGF7b4ZM4CPPwa++qrv4994A+juBhYs\nAGJi/Kv4TZkix7WFMwY/IiLB4OeBXs/pVYwZAxw6JL/Is5MngfvvBzZs8P25W7cCq1YBd9wBTJzo\n/rHXXy/VMl9DeWen+w0Y9uv7FMo6v3ff7fv4V18FzjsPuPxymZb2peIXKRs7AAY/IiIFg58H4VDx\nA3h6h7ceflhO2Zg+XY5Z6+727nlWK/Dzn8v3wQMPeH789dfLrbKxwhsHDkg4W7bM9WM2bpSp17Q0\n230ZGcCgQX3X+Z04AaxZI1PPMTGAyeRbxe/TTyUohfvGDsB18Bs4UKbLiYiiBYOfB+ES/LjOz7PN\nmyX05efLrtwHHgC++U1g1y7Pz/3Pf4DqaunZFx/v+fETJwIXXQS88or343vmGQkmTzwhlUln3ntP\ngph9T72BA6UC6LjO7+235XpKCE1O9q3iFykbOwDXwY/VPiKKNgx+HijBz2jUdhyuMPh559Qp4NZb\ngeHDgZUrgeeek1YsDQ3SnHj1atfPPXkSuOceCXPz53v3egYD8L3vSfhSvofc6e4GSkqAkSOBL74A\nKiqcj6Ourvc0r2LGDAm29q/16qvAkCHAzJnysckEfPml98sCamuBwYOBlBTvHq9nDH5ERCJqgl9r\na6tfz2PFLzIsWybBqKTEVrG7+Wa576KLgNmzgVtuAbZt6/vcJ5+UJsm/+51vmxyuv14C55o1nh+7\nZo1s2njiCWDCBLl11NAg07fOgt/06TIdrZwYYrVK8MvNlWlgQCp+gPfTvbW1srEjEqZClYDH4EdE\n0U7Xwa+4uBiLFi3CokWLMGvWLDQ0NHj1vJaWFsTExPT6tdpdSccNvQe/oUPlzYs7e13bulVasNx0\nk23aU2EySVhatAj4xz+AyZNlR+6qVVIZ++ormd7NzQW+9S3fXvfyy4ERI7zb3fvkk7IJ44YbZAfu\nhx9Kr0B7zjZ22L/WgAG2dX719fI9Yf/nNZnk1pvg190tQTMSpnkBmQ4fOJDBj4hItz/LFxUVISYm\nBitXrgQAVFdXY+rUqWhubkZSUpLb565YsQJlZWW97ps3b55f4+jqkua3Q4b49fSgMxhkZy8rfs4p\nU7xxcc6raIAEgqVLZTr3hReAp54CCguBu++WKtmhQ1LtMxh8e+1+/WRjxerVMg5X1cKWFuC//5VW\nMQMGAD/6EXDffTLeF1+0PW7jRtn8oVR57Q0eDGRm2tb5vfqqbOj49rdtj1Eqft6s8/vkEwlGkbCx\nQxEby+BHRKTLil9LSwtWrVqFOUrXWQDZ2dlITk5GUVGR2+daLBZ0dHRg3rx5vX75Szmuzdc3/VCK\n9ibOZ84AL78sU5OOmyIefVSqX08+Kev73Bk+HPjZz2S69/33pULY0gL89KfApEn+je366+V7qLLS\n9WNKSyWkFRTIx0OHSlgtL+/9dd240Xm1TzFjhqwBPHxYqoxXXikVR4XRKNPc3lT8amvlNlIqfgCD\nHxERoNPgV1VVBQBIVkoUX0tLS+v5nCtLly5FZWUl4uPjMX/+fK+nh13R6zm99qI9+K1ZA+TlSVuT\noUNlqnbBAuBPf5Jp2vx8+by3DAbbdG9Xl1T7/HXNNRKebr/deeA6fhx4+mkJiGPG2O6/6y6Zbi0t\nlY/37AF277ad2OHM9OnA6dPAP/8JbNnSd1ob8H5nb12dVLk99SsMJ86Cn7Lpg4goWugy+Fm+7pqs\n3Criv16V39bW5vK5mZmZKCwsREJCAsrKyjB16lSsWrXK77GEU/CzWrUeiTY2bJANCH//u1TnBg0C\n/vpX+f055wB//rP/1+7XL7Bq78CBUrkzGGQDyfHjvT9fWSnHqt1xR+/7x42TadqSEtnQ4W59n+LK\nK2W8Sp/B736372O87eVXWyu9ApUzfiMBK35ERDoNflO/Xli0bt26XvcbveipkpeXh5KSEnz22WdY\nt24djEYjioqKAtrVGw7B7/hx2ykj0WbjRmnJctNNMrW7fr183bZtk8qV/XSnFpKSpH1MQ4NMJdt7\n8knZxau0XLH3059KU+eKCvkzDhokf05Xhg4F0tPlh4AJE4Dx4/s+JjkZaGuTyqArp0/LbudImuYF\nGPyIiACdbu5Q1vMtXboUs2fPRlJSElpaWlBZWQmDwYDExESvr1NXVweTyYTS0lIsczgSwWKxwGKx\nYMmSJQCArKwsZGVl9XpMVxfg5ctpRlnsv3evbGKIJt3dsgP21lt739+vH3DxxdqMyZnrrgMWLgRW\nrACuvloaSDc0SKD7wx+cVxXNZplq/eMfpaI5bVrvxs3OzJgBbNrkfJoXkIrf6dMydezq+7qxETh6\nNDKDn32zbgY/ItK7mpoa1NTU9HxssVi8KoK5o8vgBwB1dXUoLi6G2WxGcnIyzGYz4uLieqZ7vZWU\nlIScnBx0OemiazQaYTQae4KfMxaL/it+ytqwffv0FXZC4aOP5A388su1HolnDz8sQa+wUKZRV66U\n3bg//rHzxxsMstbvrrvk97/4hefXuOYaWZM4e7bzz9vv7HUV/JSNHZG0oxeQ4Kecz9vdLVVyBj8i\n0jPHgpR9CPSXboPfsGHDUFJS0vNxfX09iouLUelue6Sba/mbkMNlqheIzg0e3qx904v+/WXjRVqa\nbDbZtQv4wQ/cnwqjtHY5eNC7P2N2tlR+zzvP+efte/llZzt/zAcfSEhyNlUczuyneo8elVsGPyKK\nNrpc4+dMQUEBzGYzbrzxRp+f29DQgLlz5/r8vDNn5A1X78FPeZOPxuD3/vuyhs9Da0fdGD1aNqF8\n8omED8dNHY6GDgVuu03avXgbbl2FPkCqwwMGuN/Zu369TEdH0sYOoHfwUyp/DH5EFG3CIviZzWYM\nHz4cb775Zq/7q6qqYDKZelq21NfXw2w2o7q6uucxZWVlmDNnDqZMmeLz6x4+LDtl9R78Bg+WtX3R\nGPyU3nZ67rPoKDtbduvedZdsxvBEmSIeNSrw1+7XT0Kyq529n38O7NgBOCx1jQhK8LNaGfyIKHrp\ndqq3q6sLL730EsrKyjB//nyXTZjb2trQ2dkJAIiLi0NrayvMZjNycnKQnp6OWbNmobCw0M8xyG2A\n6yhDIhp7+bW3A59+KmfshhtfviWVUznU4q6Xn3Lyxze/qd7r6UVsrIS+Y8cY/Igoeuk2+NXW1sJs\nNrsNbTk5Oeju7u75OCkpCU1NTaqNQe/n9NobPTr6zutVzrINh/V9epKcLFPkzrz9tkwvp6WFdkyh\noDRrPnyYwY+Iopdug1+2q5XnIRROwW/MGJmiiybvvy9r3zIytB5JeDGZZLd6Z2ff9j81NbK+r79u\n/2fwn33wU9b6MfgRUbQJizV+WlEaIodD8Bs9Gti/XzakRIuNG4HJk/nm7Sv7li729u+XTSeROM0L\nsOJHRAQw+Ln19dJB+Ng6UBOjR0tvsi+/1HokodHdLVO9nOb1nX1LF3tKe6hI3NgBMPgREQEMfm4p\nwS8cTsOItl5+O3YAhw6FR+NmvVFa3zhW/Gpq5GzjSFzfBzD4EREBDH5udXTILYOf/oRT42a9iY0F\nRo7sW/F7+21g+vTI69+nYPAjImLwc6uzU3Y4hsNC92gLfu+/DyQkAOPGaT2S8OTY0mXvXuCzzyJ3\nfR9gC3kMfkQUzRj83OjoCI9qHyDNfQ2G6GnpsnGjTPOGU+NmPTGZelf8In19H9C34te/PzBwoLZj\nIiIKNQY/Nzo7w2NjByDHcJ17buRU/OrqgO9+V5o0O7JYZI0f1/f5LzkZ2L0bOHlSPq6pkUbll16q\n6bCCyjH4sdpHRNGIwc8NZ33O9CySTu9YswZ47TVg3jw5bcEeGzcHzmSS1j87d8rHNTWRvb4PkBNQ\nDAYGPyKKbgx+bnR0hE/FD4is4Ldrl9y+8oqca2vv/fflDZyNm/1n38tvzx6gqSmyp3kB+Z5Rzutl\n8COiaBUG2xa0E44Vv9parUehjl27gPR0YMQI4O67gauuAi65RD63cSNw8cXSeoT8Y9/L76uv5PeR\nvLFDweBHRNGOFT8XrNbwDH4HDgCnTmk9ksDt2gUkJgJ/+5usPbvpJuDoUZmefP99TvMGatQomfps\nbpY2LnFxcgpKpGPwI6Jox+DnwrFjwIkT4TfVa7UCn3+u9UgCY7VK8Bs7VvrNPfcc8PHHwD33yJFi\nXV3c2BEog0Gme1taZH3fjBly7nGkY/AjomjHqV4XwunUDsWYMXK7bx9wwQXajiUQFou8OY8dKx/P\nmgXcey/w6KO2UMuKX+CSk4ENG+SYv5/+VOvRhIZ98FP+vRARRZMo+BnfP+F0aociUpo4Kxs7lOAH\nAL/9LTBtmmz2MBqB8eO1GVskMZlsZztH+sYOhX3wU9q7EBFFEwY/F5SKX7hN9QKRGfwGDgT+8Q95\ns77yyuiYlgw2ZWdvfLxt40yk41QvEUU7TvW6EI5TvSNGSB+2SAl+jtPV48ZJD7+hQ0M/pkik7OyN\nlvV9AIMfERGDnwvKVG84VfxiYoDzzouM4DdwoJxE4ig1NfTjiVTKdHl2trbjCKXYWODgQdkhzuBH\nRNGIwc+FcKz4ATLdG+7n9e7aJdW+aKlCaWXcOKC6WnokRovYWNkVDjD4EVF04lurC52d0vIi3JoE\njxkTGcHPfn0fBc/MmVJdjRb2GzoY/IgoGjH4udDRIdW+cKs6TZ4MNDbadmuGIwY/ChYGPyKKdmEW\na0In3E7tUFx/vZxu8dprWo/EP6dOyRpFBj8KBgY/Iop2DH4uhGvwmzIFuPBC6XcXjvbtk+DK4EfB\nwOBHRNGOwc+Fjo7w2tGrMBiA730PWLtW2laEG2c9/IjUwuBHRNGOwc+FcK34ARL8TpwA3nxT65H4\njsGPgonBj4iiHYOfC+Fa8QOkPUdCQnhO97pq3kykBgY/Iop2DH5OWK2AxRK+Fb/+/YHrrgP+8x/Z\nLBFOdu+W0Mo3ZQoGBj8iinYMfk4cOgR0d4dv8ANkutdiAd55R+uR+IatXCiYGPyIKNox+DkRjse1\nOTKbgcGDgX/9S+uR+IbBj4KJwY+Ioh2DnxPhelybvSFDgNxcWedntWo9Gu8x+FEwKWEvJgY46yxt\nx0JEpAUGPyciIfgBMt27dy9QV6f1SLzT1SW/GPwoWPr1k0r42WdL6yMiomjD4OdEJEz1AsB3viNv\ndOGyu3f3brll8KNgio3lNC8RRS8GPycipeKXkABMnx4+6/zYw49CgcGPiKIZg58TkVLxA2S6d/t2\n4NNPtR6JZwx+FAoMfkQUzRj8nOjsBAYMkA0S4e766+X23//Wdhze2LVL/t5HjdJ6JBTJGPyIKJox\n+DmhHNcWCYu/L7wQSEsLj3V+u3YB558vOy6JguWOO+QXEVE04lusE+F8XJszN9wAbNwIfP651iNx\nj61cKBRuvll+ERFFIwY/J5SKX6T43vekl99rr2k9EvcY/IiIiIKLwc+JSAt+F18MnHce8NZbWo/E\nte5uYM8eBj8iIqJgYvBzItKmeg0GICsLWL9ev6d47N8v4Y/Bj4iIKHgY/JyItIofAMyYIeHqs8+0\nHolzbOVCREQUfAx+Drq75diwSKr4AVLxA6Tqp0cMfkRERMHH4OfAYpHbSKv4jR8PjBwJ1NRoPRLn\nlOB3wQXajoOIiCiS9dd6AO4UFxfD8HUzvfr6eixfvhxpaWken1dZWYny8nJkZGRg06ZNKCoqQnZ2\ntlevGSnHtTlyXOentx6Fu3bJ3/nQoVqPhIiIKHLpNvgVFRUhJiYGK1euBABUV1dj6tSpaG5uRlJS\nksvnVVZWorCwEB1fn7vW1dWFpKQkVFRUeBX+Ium4NkczZgAvvQS0tAAmk9aj6W3XLlb7iIiIgk2X\nU70tLS1YtWoV5syZ03NfdnY2kpOTUVRU5Pa5BQUFvR4zbNgw5Ofno7i42KvXjtSKH2Bb56fH6V72\n8CMiIgo+XQa/qqoqAEBycnKv+9PS0no+5+p5XV1dyMjI6HV/eno66uvr0dbW5vG1leAXiRW/iROB\nc8/V5wYPBj8iIqLg02Xws3y9w0K5VcR/ncZcBbj6+noAfQOj8rHyeXeUqd5IrPgZDMD06VLx01M/\nv0OHJHAz+BEREQWXLoPf1KlTAQDr1q3rdb/RaHT7vObmZqePUwJjS0uLx9eO5KleQKZ7d+8GvCh+\nhszu3XLL4EdERBRcutzcoaznW7p0KWbPno2kpCS0tLSgsrISBoMBiYmJTp/nKRg6slgssFgsWLJk\nCQAgKysLnZ1ZGDIEOOusAP8QOjVjhtzW1ABu9siEFHv4ERER9VVTU4Mau4X5FovF56zjSJfBDwDq\n6upQXFwMs9mM5ORkmM1mxMXF9VTvnElISADQd4pY2eHrOAVsNBphNBp7gh8APPdc5Fb7ACA1FRg+\nXNb53Xqr1qMRDH5ERER9ZWVlIUvZmQn0CoH+0uVULyC7cUtKStDU1IS1/7+9u4tt66zjOP47XsV4\nW+MkTOs0gRY7gBgDLS9dt8LF1PiECXaBmsYDjSExtXbGDULaasMNV1tbZ+ICgZo4mSYhQGtywgVC\nTDS2VBDammW2yyS4WBu7e5EGqprYA429qD1cnNiJ46ZL4sY+zvl+pMjz8fE5T/dXut+e5znPc/q0\nBgYGlM1m9ZOf/GTd75imKWkl6JWVh3h7e3s/8r47cbu21Xy+lXl+bvHmm9JNN0m3397slgAAsLO5\nNvitdeTIEZmmqYMHD657Tk9Pj/x+v06fPl11PJPJKBgMrjtEvNri4s58one1Bx6QXn/d+XGDN96Q\n7rhD2uXa/mcAAHaGlgh+pmnqM5/5jP785z9XHU+lUgoGg8rlcpVjExMTsiyr8r5YLGp6elrj4+Mb\nutdO7/GTVub5uWVZF5ZyAQCgMVzbx1IqlXTq1Cklk0mNjIzo8OHD1zzv4sWLWio/iitpaGhIi4uL\nCofDlS3bJicndeDAgQ3dd2lp5/f43X2382c8c0b6/veb3Ron+N13X7NbAQDAzufa4PfKK6/INE1F\nIpF1zwmFQrpy5UrN8SNHjujIkSNbuu/i4s7v8SvP83NDj98HHzhz/MLhZrcEAICdz7VDvQMDA9fd\nk3c7fPCB9O67Oz/4Sc5wbz6/soZes7z6qvThh1JPT3PbAQCAF7g2+DXDTt6uba3y0+HN7vWbm3Ne\n9+1rbjsAAPACgt8qO3m7trW+8hXJ72/+si5zc9KePTzcAQBAIxD8Vtnp27WtdtNN7pjnNzfn9PYZ\nRnPbAQCAFxD8VvHSUK/kBL8LF6S3327O/ZeWpNdeY5gXAIBGIfit4qWhXkn62tec15deas79X37Z\neSX4AQDQGAS/VbzW49fTI918s/Tii825/9ycM8Tb39+c+wMA4DUEv1XKPX5+f3Pb0Sg33+yErmYG\nv7vuknbvbs79AQDwGoLfKktLTgi56aZmt6Rx7r9fymSk999v7H1te+XBDgAA0BgEv1W8sF3bWvv3\nOwtXZ7ONve/CgnT5MsEPAIBGIvit4oXt2ta6/37ntdHDvSzcDABA4xH8Vlla8l7w27NHCgSaE/w+\n+Unpy19u7H0BAPAygt8qXhzqlZzh3hdfdObdNcrcnPNgya5djbsnAABeR/BbxYtDvZIz3Puvf0mv\nv96Y+73/vnTuHMO8AAA0GsFvmW17u8dPuv5w79Wr0tmzN+Z+5845D5QQ/AAAaCyC37J333XCiBd7\n/O6+W/r0p68f/J591ukZTKfrv1/5wY777qv/WgAAYOMIfsvKu3Z4Mfjt2uX0vq0X/Gxb+tWvnH/+\nzW/qv9/Zs9Iddzg/AACgcQh+y7y2Xdta+/dLr74q/fe/tZ+dPSv9/e/SrbdKMzPS//5X371YuBkA\ngOYg+C0rb9fmxR4/yRnGvXJFmp+v/ezkSemWW6SJCek//5H++Met3+fSJSmfJ/gBANAMBL9lXu/x\nK8+3Wzvce/myNDUlPfqo9NBD0u23S7/97dbv8/LLzivBDwCAxiP4LfPyHD/J+XPfdVdt8HvuOWf5\nlccfd/Yw/s53pD/9aeXf12bNzUk+n9TXV3+bAQDA5hD8lnl9qFdy5vmdPess3SI5r2Nj0te/7jz5\nK0mPPCJ9+KFkWVu7x9zcylPEAACgsQh+y5aWnB6t3bub3ZLm2b/fCcCvvea8T6WkhQWnt6+st1f6\n4he3Ntx79aoz1MswLwAAzUHwW7a0JPn9kmE0uyXNc//9zmt5uPfkSedJ3qGhlXMMw+n1++tfpTff\n3Nz1z5+XikWCHwAAzULwW+bV7dpW+8IXnIdbXnxReust6Q9/kB57TLr55urzvvtdZ22/55/f3PXL\nO38Q/AAAaA6C3zKvbte2ms/n9Pq99JKzdIttS9Fo7Xnd3U5428xw75UrzoMifr/0pS/duDYDAICN\nI/gto8fPsX+/9M9/OsO8Dz4odXVd+7xHHnEWdf7HPzZ23Z/9TPrLX6Sf/9yZSwkAABqP4LeMHj/H\n/v3O66VL1Q91rBUOOwHud7/76Gu+8IL01FPOsPEPfnBj2gkAADaP4LfshRekp59udiuab+9eJ9B9\n7nPSN7+5/nm33SaFQk7ws+31z3vjDel735O++lXpl7+88e0FAAAbR/Bb1t0t3Xlns1vRfJ/6lBSL\nSaOjHz0k+8gj0sWLtYs+l33wgdMzWF737xOfuOHNBQAAm0DwQ42nnnIC20f59redMPf009K5c7U9\nf08+6SzY/Nxz0uc/vz1tBQAAG7er2Q1A67rlFunHP5aOHXO2cfvsZ539fB96yHlY5he/kH70o+p1\nAAEAQPPQ44e6PPWU9Pbb0rPPOvvv/vrX0re+JT36qHTffVIi0ewWAgCAMnr8ULfbbnOe2H3sMem9\n96QzZ6S//U364Q+lj32s2a0DAABlBD/cUB//uLP+34MPNrslAABgLYZ6AQAAPILgBwAA4BEEPwAA\nAI8g+AEAAHgEwQ8AAMAjCH4AAAAeQfADAADwCIIfAACAR3gi+BUKhWY3AQAAoOlcG/wSiYTi8bji\n8bjC4bAmJiY29L18Pi+fz1f1MzMzc81zi8XijWwyGuzMmTPNbgK2iNq1NurX2qhf67oRucWVW7bF\nYjG98847OnnyZOVYR0eHAoGABgYGrvvdRCKhZDJZdezw4cPXPLdYLMrv99ffYDTFmTNn9MADDzS7\nGdgCatfaqF9ro36t60bkFlcGP8uy9Pjjj1cd6+/vVyqVum7wKxaLWlxcXDfoAQAAeJkrh3rb29s1\nNjZWdeyVV16RaZrX/d6xY8dkWZY6Ojo0MjKiXC63nc0EAABoKYZt23azG7FWOp2WaZoKBAKamprS\nsWPHtG/fPj3xxBPX/d7MzIxmZ2eVTqe1sLAgSRofH9eRI0eueb7f79d7772nPXv2VN4z9Ns6GKpv\nXdSutVG/1kb9WkexWKya1/fvf/9bnZ2deuutt7Z8TVcGP2kl/ElSJBKp6QHcyPeHh4dVLBa1sLCg\nrq6umnN6enp06dIldXd335A2AwAAbJcLFy7o1ltvrWtE07XBL5lMKpvNKpVKKZ/P69ChQ5qamtrU\nNQqFgoLBoI4eParjx49vU0sBAABagyvn+CWTSVmWpbGxMV24cEGRSESWZWl0dHRT1+nq6lIoFFKp\nVNqmlgIAALQOVwa/WCymcDhceT82NqZQKKRjx45t+lptbW3MZQAAAJBLg1+pVNLaEehQKCTDMDZ9\nrVwup4cffvhGNQ0AAKDhbtQuZK4MfpFIROPj41XH5ufnFYlEKu9TqZSCwWBlgmM2m5Vpmkqn05Vz\nksmkhoeHdc8991Rdy7IshcNhjY6OKhwOV30H7pLP5xWNRtetEbV0t1gspo6ODvl8PvX3919zQjI1\ndKdEIkHtdohYLKaRkZGa49TPvTayC9mW62e7VCwWs03TtGOxmB2NRu3R0dGqz2dnZ22fz2en02nb\ntm07n8/bwWDQNgyj8r3yZ6tNT0/b7e3tlffFYtFub2+3U6nU9v6BsGmpVMo+dOiQbRiGPTMzU/M5\ntXS3SCRix+NxO51O24lEwjYMwzYMwy4Wi5VzqKE7xWIxe2Zmxi6VSnY2m7WDwWBVnWyb2rWKTCZj\nG4Zhj4yMVB2nfu4WjUbtiYmJqp/V6qmfa4PfdvH7/XY8Hq86Fo1G7b6+via1CNeTzWbXDX7U0r0W\nFhZq/mfNsizbMAw7kUhUjlFD9ykWizX/8Ugmk7ZhGHapVKoco3atoVyTtcGP+rnX0tKSPTw8fN1z\n6qmfK4d6t0sqlVKpVNLevXurjvf29iqbzerixYvNaRjWZa+z2hC1dLdSqVSz4PrQ0JAkaXFxURI1\ndKu2traarTFt21ZfX592794tidq1ipGREZ04caLm71Hq524ftQtZvfXzVPDLZrOSpEAgUHW8/L78\nOdyPWrpbT0/Pup+V/7Kihq2hWCwqlUpVzR+idu5nWZYGBwfV1tZW8xn1c7d7771XkUhEnZ2dSiaT\n6uvr08TEROXzeuvnqeBX3sZt7fIuHR0dkpzJlGgN1LL1WJalYDCogwcPSqKGblcqlZRIJBQIBGRZ\nlg4fPlz5jNq5Wzmsl3/X1q6IQf3cbWhoSGNjYzp//rxmZ2fl9/sVjUYrT/XWWz9PBT/W89s5rKu8\nGwAABj1JREFUqGXrOX78uKanpyvvqaG7tbW16ejRo0qn0wqFQrIsq9LrQO3cLR6PK5FIrPs59Wsd\nAwMDymQykpyVSqT66+ep4NfZ2SlJVRseSytzjtZ2m8K9qGVricVi+ulPf1q1tBI1bA09PT06ffq0\n/H6/UqmUJGrnZuVlzMrzMSVnjubqeX7Ur7WUdyEr16ve+nkq+JmmKWnlX05ZuVu0t7e34W3C1lDL\n1pFMJrVv377KsFMZNWwtq3dTCoVCkqidGyWTSZmmWbX+Wy6XUzKZlM/n0+TkJL97LWj1LmT1/v55\nKvj19PTI7/fr9OnTVcczmYyCwaDuvPPO5jQMm0YtW4NlWTIMoyb0FQoFathi8vl8ZRek3t5eaudS\n6XRa+Xy+8rOwsKBAIKDh4WHl83kNDw/zu9eCVu9CVvfv31bXmWlVlmXZwWCw8n5paclub2+/5mLP\naL7y4qOWZdV8Ri3dbXZ21g6FQrZlWfb09HTlJxqNVtaDo4buUywW7UgkYmez2cqxTCZjh8PhqvOo\nXevo7e2tWceP+rlTJpOxQ6FQ1Vqa4+PjNWv21VO/XdsUTl1raGhIi4uLCofD2rt3r+bn5zU5OakD\nBw40u2lYI51Oa3x8XIZhaGpqSn6/v2p9MWrpXtlsVoODgzIMo2YbIdM0K/OPqKE7ZTIZ9fX16dCh\nQ9q7d68CgYBOnTpVdQ61ax3X2uee+rlTe3u7CoWCTNNUKBRSb2+vBgcHq7asleqrn2Hb66yQCwAA\ngB3FU3P8AAAAvIzgBwAA4BEEPwAAAI8g+AEAAHgEwQ+AJ+VyucpCt93d3YrH4xocHFR/f3/Nk8ir\nJRIJ+Xw+xeNxjY6OqlAoaGZmRtFoVN3d3dva5kKhoNHRUY2MjMjn81Vt3A4AG+G55VwAQHIWATdN\nU+l0WolEorLIdDgclmmaymQy6unpueZ329vbdfz48cr7rq4uPf/885VN1LdLV1eXnnzySUnODg3X\nWqYDAK6HHj8AnjU/Py/DMCpbIEkr2yFdr9fvWqtgBQKBax4HADch+AHwrFQqpd7e3qoN7RcWFiSx\nUT2AnYngB8CTstmsSqVSVW9fNpvVxMSETNOs2V94sxKJhDo6OvTMM8+oUCgol8spFotpcHBQ6XRa\nwWBQPp9Pg4ODNUPEiURC8Xhc8Xj8I+ccAsBmMMcPgCelUqnK68LCghY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}
],
"prompt_number": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By default, `Profile` calculates the means of quantities, but it trivially calculate derivatives and root-mean-square values as well: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(ps['rbins'],ps['d_v_circ'])\n",
"xlabel('$R$ [kpc]')\n",
"ylabel('d$v_{c}$/d$R$')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Profile: d_v_circ/dR\n"
]
},
{
"output_type": "pyout",
"prompt_number": 28,
"text": [
"<matplotlib.text.Text at 0x10d7ea210>"
]
},
{
"output_type": "display_data",
"png": 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A2L/DD7pgZWVFmUxGfr9fZ8+efRhlsqXqVTk8nvaWBQAAYL92benLZDIaGhrS9PS0zp07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\n"
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(ps['rbins'],ps['vr_disp'])\n",
"xlabel('R [kpc]')\n",
"ylabel('$v_{rms}$')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Profile: auto-deriving vr_disp\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"SimSnap: deriving array vr\n",
"SimSnap: deriving array r\n"
]
},
{
"output_type": "pyout",
"prompt_number": 29,
"text": [
"<matplotlib.text.Text at 0x10ebf4910>"
]
},
{
"output_type": "display_data",
"png": 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Yi5CJE4GTJ4Fly7QeCREREcUShrkIuewy4IILONVKREREocUwFyEGg2yEeP994OBBrUdD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\nGJM5IiIiohJjMkdERERUYv8BtjX8cp2NyWQAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Filters"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can define filters to easily select particles based on their quantities. For example, to get stars that are 1-2 Gyr old:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"agefilt = pynbody.filt.BandPass('age', '1 Gyr','2 Gyr')\n",
"agefilt"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 30,
"text": [
"BandPass('age', 'Gyr', '2.00e+00 Gyr')"
]
}
],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sphere = pynbody.filt.Sphere('50 kpc')\n",
"h1[sphere].s"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 31,
"text": [
"<SimSnap \"/Users/rokstar/Downloads/testdata/g15784.lr.01024:halo_1:sphere::star\" len=242858>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h1.s[sphere]['mass'].sum().in_units('1e12 Msol')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 32,
"text": [
"SimArray(0.10313311567845437, '1.00e+12 Msol')"
]
}
],
"prompt_number": 32
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"you can combine filters by using simple logic operators -- so to get the total mass of all 1-2 Gyr old stars within 50 kpc, you can do"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h1.s[sphere&agefilt]['mass'].sum().in_units('1e12 Msol')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 33,
"text": [
"SimArray(0.0023178475592408767, '1.00e+12 Msol')"
]
}
],
"prompt_number": 33
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Units"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You've noticed by now that we've been asking for things in various kinds of units. `Pynbody` has a unit-handling system built in that automatically ensures that arrays in different units are compatible and performs the necessary conversions for calculations. Adding mass and position together makes no sense, and pynbody knows this: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s['mass'] + s['x']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "ValueError",
"evalue": "Incompatible physical dimensions 'Msol' and 'kpc', context \"{'a': 0.9999999999999911, 'h': 0.7301145776501103}\"",
"output_type": "pyerr",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-34-3fb92e8fe716>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'mass'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'x'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m/Users/rokstar/python/pynbody/array.pyc\u001b[0m in \u001b[0;36m__add__\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 390\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 391\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 392\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_generic_add\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 393\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 394\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__sub__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/Users/rokstar/python/pynbody/array.pyc\u001b[0m in \u001b[0;36m_generic_add\u001b[0;34m(self, x, add_op)\u001b[0m\n\u001b[1;32m 366\u001b[0m **context)\n\u001b[1;32m 367\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0munits\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mUnitsException\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 368\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Incompatible physical dimensions %r and %r, context %r\"\u001b[0m\u001b[0;34m%\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munits\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munits\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconversion_context\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 369\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 370\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mValueError\u001b[0m: Incompatible physical dimensions 'Msol' and 'kpc', context \"{'a': 0.9999999999999911, 'h': 0.7301145776501103}\""
]
}
],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"but, it handles this just fine and returns an array with the right units: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s['mass']*s['x']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 35,
"text": [
"SimArray([ -1.11405446e+09, -1.04208223e+09, -1.01781848e+09, ...,\n",
" -1.34612686e+06, 1.56832943e+04, 4.33084960e+06], 'Msol kpc')"
]
}
],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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