{ "cells": [ { "cell_type": "markdown", "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://github.com/pynbody/pynbody/releases) and change the path in the `load` function below accordingly. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from matplotlib.pylab import *\n", "\n", "rcParams['figure.figsize'] = (10,6)\n", "rcParams['font.size'] = 18" ] }, { "cell_type": "markdown", "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", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import pynbody\n", "\n", "s = pynbody.load('../nose/testdata/gasoline_ahf/g15784.lr.01024.gz')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the above assumes you have downloaded and unpacked the test data (in the nose folder). You can obtain it\n", "[here](http://star.ucl.ac.uk/~app/testdata.tar.gz), if you haven't already. Or, of course, you can just substitute your favourite cosmological simulation.\n", "A quick look at some basic information about the run we just opened:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "1717156" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(s)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "265170" }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(s.stars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`stars`, `gas`, `dark` also available as `s`, `g`, `d`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "(158755, 158755, 1293231)" }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(s.g), len(s.gas), len(s.dark)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "the `properties` attribute of a `SimSnap` tells us some more basic info " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "{'omegaM0': 0.24,\n 'omegaL0': 0.76,\n 'h': 0.7301145776501103,\n 'boxsize': Unit(\"6.85e+04 kpc a\"),\n 'a': 0.9999999999999911,\n 'time': Unit(\"1.40e+01 s kpc km**-1\")}" }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.properties" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "13.72831064485079" }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.properties['time'].in_units('Gyr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "which quantities do we have available?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "[]" }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "None! Because pynbody \"lazy-loads\" data... so lets see which data is actually on-disk:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "['mass',\n 'eps',\n 'HeI',\n 'HeII',\n 'igasorder',\n 'pos',\n 'OxMassFrac',\n 'coolontime',\n 'array_write_test',\n 'vel',\n 'iord',\n 'HI',\n 'FeMassFrac',\n 'phi']" }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.loadable_keys()" ] }, { "cell_type": "markdown", "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", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "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')" }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s['pos'].in_units('kpc')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that each array has units attached..." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No H2 data found in StarLog file\n" ] }, { "data": { "text/plain": "(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([3.5166965e-12, 1.6011119e-09, 1.8811888e-10, ..., 1.9425629e-12,\n 2.3049744e-12, 1.8176783e-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'))" }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s['mass'], s['vel'], s.g['HeI'], s.s['posform']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "by default everything is in system units, but most of the time thinking in physical units is easier:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "s.physical_units()" ] }, { "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", "execution_count": 14, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "(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'))" }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s['vt'],s['vr']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "you can get a list of all available derivable quantities " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "['HII',\n 'HeIII',\n 'ne',\n 'hetot',\n 'hydrogen',\n 'feh',\n 'oxh',\n 'ofe',\n 'mgfe',\n 'nefe']" }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.derivable_keys()[0:10]" ] }, { "cell_type": "markdown", "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", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "h = s.halos()" ] }, { "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", "execution_count": 17, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pynbody.analysis.halo.center(h[1],mode='ssc')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we're going to work with the main halo a lot, so it's useful to save a reference to it in a variable to save some typing:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h1 = h[1]\n", "h1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "this new object is a `SubSnap` and behaves exactly like any other `SimSnap`:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "(79060, 262178)" }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(h1.g), len(h1.s)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "SimArray(1.69639241, '1.00e+12 Msol')" }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h[1]['mass'].sum().in_units('1e12 Msol')" ] }, { "cell_type": "markdown", "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", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/lib/python3.8/site-packages/matplotlib/colors.py:1173: RuntimeWarning: overflow encountered in log\n", " np.log(resdat, resdat)\n" ] }, { "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im = pynbody.plot.image(s.d,width='50 Mpc', units='Msol kpc^-2', cmap=cm.Greys)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "SimArray([[777.3692 , 779.5763 , 781.7839 , ..., 619.7823 , 617.5206 ,\n 615.2592 ],\n [780.5642 , 782.8128 , 785.06195, ..., 621.82996, 619.56494,\n 617.3005 ],\n [783.75726, 786.0473 , 788.33795, ..., 623.8763 , 621.608 ,\n 619.3404 ],\n ...,\n [740.93774, 743.1989 , 745.4564 , ..., 888.4307 , 885.5547 ,\n 882.67755],\n [737.3295 , 739.5767 , 741.8202 , ..., 886.3587 , 883.51935,\n 880.67957],\n [733.7115 , 735.94495, 738.17456, ..., 884.28467, 881.4824 ,\n 878.6798 ]], dtype=float32, 'Msol kpc**-3')" }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pynbody.plot.image(h[1].g,width='200 kpc', av_z=True, cmap=cm.Blues)" ] }, { "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", "execution_count": 23, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pynbody.analysis.angmom.faceon(h[1],cen=(0,0,0))" ] }, { "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", "execution_count": 24, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "SimArray([[19602.258, 19579.627, 19556.992, ..., 20811.404, 20849.715,\n 20888.027],\n [19652.078, 19631.777, 19611.475, ..., 20966.773, 21006.59 ,\n 21046.406],\n [19701.898, 19683.926, 19665.957, ..., 21122.14 , 21163.465,\n 21204.787],\n ...,\n [23214.576, 23186.46 , 23158.34 , ..., 19976.223, 19983.758,\n 19991.295],\n [23105.31 , 23080.627, 23055.941, ..., 19893.758, 19896.078,\n 19898.398],\n [22996.041, 22974.791, 22953.543, ..., 19811.297, 19808.398,\n 19805.5 ]], dtype=float32, 'Msol kpc**-3')" }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s.rotate_x(90)\n", "pynbody.plot.image(h[1].g,width='50 kpc',cmap=cm.Blues)" ] }, { "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", "execution_count": 25, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pynbody.plot.image(h1.g,qty='temp',width='40 kpc', cmap=cm.YlOrRd)\n", "s.rotate_x(-90)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profiles" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/app/Science/pynbody/pynbody/array.py:865: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return self.base[self._reexpress_index(item)]\n" ] }, { "data": { "text/plain": "Text(0, 0.5, '$\\\\Sigma$ [M$_{\\\\odot}$ kpc$^{-2}$]')" }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = pynbody.analysis.profile.Profile(h1,max='200 kpc',min='.1 kpc',type='log',nbins=100)\n", "ps = pynbody.analysis.profile.Profile(h1.s,max='50 kpc',nbins=50)\n", "pg = pynbody.analysis.profile.Profile(h1.g,max='50 kpc',nbins=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(r'$\\Sigma$ [M$_{\\odot}$ kpc$^{-2}$]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Profile` class has lots of built-in functionality... including calculating a rotation curve:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "pynbody.analysis.profile : Profile v_circ -- this routine assumes the disk is in the x-y plane\n", "pynbody.analysis.profile : Profile v_circ -- this routine assumes the disk is in the x-y plane\n", "pynbody.analysis.profile : Profile v_circ -- this routine assumes the disk is in the x-y plane\n" ] }, { "data": { "text/plain": "" }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "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()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Profile` can use *any* loaded (or loadable/derivable!) array: " ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "Text(0, 0.5, 'Age [Gyr]')" }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(ps['rbins'],ps['age'])\n", "xlabel('$R$ [kpc]')\n", "ylabel('Age [Gyr]')" ] }, { "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", "execution_count": 29, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "Text(0, 0.5, 'd$v_{c}$/d$R$')" }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(ps['rbins'],ps['d_v_circ'])\n", "xlabel('$R$ [kpc]')\n", "ylabel('d$v_{c}$/d$R$')" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "Text(0, 0.5, '$v_{rms}$')" }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(ps['rbins'],ps['vr_rms'])\n", "xlabel('R [kpc]')\n", "ylabel('$v_{rms}$')" ] }, { "cell_type": "markdown", "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", "execution_count": 31, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "BandPass('age', 'Gyr', '2.00e+00 Gyr')" }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "agefilt = pynbody.filt.BandPass('age', '1 Gyr','2 Gyr')\n", "agefilt" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sphere = pynbody.filt.Sphere('50 kpc')\n", "h1[sphere].s" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "SimArray(0.10313312, '1.00e+12 Msol')" }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h1.s[sphere]['mass'].sum().in_units('1e12 Msol')" ] }, { "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", "execution_count": 34, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "SimArray(0.00231785, '1.00e+12 Msol')" }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h1.s[sphere&agefilt]['mass'].sum().in_units('1e12 Msol')" ] }, { "cell_type": "markdown", "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", "execution_count": 35, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "ename": "ValueError", "evalue": "Incompatible physical dimensions 'Msol' and 'kpc', context \"{'a': 0.9999999999999911, 'h': 0.7301145776501103}\"", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mUnitsException\u001b[0m Traceback (most recent call last)", "\u001b[0;32m~/Science/pynbody/pynbody/units.py\u001b[0m in \u001b[0;36mratio\u001b[0;34m(self, other, **substitutions)\u001b[0m\n\u001b[1;32m 248\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 249\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdimensionless_constant\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0msubstitutions\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 250\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mUnitsException\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/Science/pynbody/pynbody/units.py\u001b[0m in \u001b[0;36mdimensionless_constant\u001b[0;34m(self, **substitutions)\u001b[0m\n\u001b[1;32m 545\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 546\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mUnitsException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Not dimensionless\"\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 547\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mUnitsException\u001b[0m: Not dimensionless", "\nDuring handling of the above exception, another exception occurred:\n", "\u001b[0;31mUnitsException\u001b[0m Traceback (most recent call last)", "\u001b[0;32m~/Science/pynbody/pynbody/array.py\u001b[0m in \u001b[0;36m_generic_add\u001b[0;34m(self, x, add_op)\u001b[0m\n\u001b[1;32m 399\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 400\u001b[0;31m cr = x.units.ratio(self.units,\n\u001b[0m\u001b[1;32m 401\u001b[0m **context)\n", "\u001b[0;32m~/Science/pynbody/pynbody/units.py\u001b[0m in \u001b[0;36mratio\u001b[0;34m(self, other, **substitutions)\u001b[0m\n\u001b[1;32m 250\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mUnitsException\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 251\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mUnitsException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Not convertible\"\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 252\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mUnitsException\u001b[0m: Not convertible", "\nDuring handling of the above exception, another exception occurred:\n", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\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[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/Science/pynbody/pynbody/array.py\u001b[0m in \u001b[0;36m__add__\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 432\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[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 433\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 434\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[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 435\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 436\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[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/Science/pynbody/pynbody/array.py\u001b[0m in \u001b[0;36m_generic_add\u001b[0;34m(self, x, add_op)\u001b[0m\n\u001b[1;32m 401\u001b[0m **context)\n\u001b[1;32m 402\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[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 403\u001b[0;31m raise ValueError(\"Incompatible physical dimensions %r and %r, context %r\" % (\n\u001b[0m\u001b[1;32m 404\u001b[0m str(self.units), str(x.units), str(self.conversion_context())))\n\u001b[1;32m 405\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}\"" ] } ], "source": [ "s['mass'] + s['x']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "but, it handles this just fine and returns an array with the right units: " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "s['mass']*s['x']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This concludes the basic overview of what ``pynbody`` can do -- for more tutorials and in-depth explanation of the inner-workings of the framework, head over to the [walkthroughs](http://pynbody.github.io/pynbody/tutorials/tutorials.html#walkthroughs) and [cookbook examples](http://pynbody.github.io/pynbody/tutorials/tutorials.html#cookbook-recipes). If you're stuck implementing a particular analysis workflow, stop by our [Github issues](https://github.com/pynbody/pynbody/issues) and post your question, we'll be happy to help. " ] } ], "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }