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actions notebook
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{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:51674423333905e7630a6f70f9aed7a81e31205a98f3620d90a7374eb69f0931" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%matplotlib inline\n", | |
"import matplotlib.pylab as plt\n", | |
"plt.rcParams['figure.figsize'] = (10,6)\n", | |
"plt.rcParams['font.size'] = 18" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%qtconsole" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Calculating actions for a simulation snapshot using [`pynbody`](http://pynbody.github.io) and [`galpy`](https://github.com/jobovy/galpy)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"try: \n", | |
" reload(galpy)\n", | |
" reload(galpy.potential_src.SnapshotPotential)\n", | |
" reload(galpy.potential) \n", | |
"except (ImportError, NameError): \n", | |
" import galpy\n", | |
" import numpy as np\n", | |
" import pynbody\n", | |
" \n", | |
"from galpy.potential import SnapshotPotential, InterpSnapshotPotential\n", | |
"from galpy.potential import interpRZPotential\n", | |
"from galpy.actionAngle import actionAngleStaeckel, actionAngleAdiabatic\n", | |
"\n", | |
"pynbody.config['number_of_threads'] = 16" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"s = pynbody.load('/home/ics/roskar/isolated_runs/12M_hr_diff_coeff0.05/10/12M_hr_diff_coeff0.05.01000')\n", | |
"pynbody.analysis.angmom.faceon(s,mode='ssc')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"Finding halo center...\n", | |
"cen=" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" [-0.19608824 -0.02494758 -1.16711732]\n", | |
"Finding halo velocity center..." | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"\n", | |
"vcen=" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
" [-0.10373545 -1.44031927 -1.09975209]\n", | |
"Calculating angular momentum vector..." | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"\n", | |
"Transforming simulation...\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stderr", | |
"text": [ | |
"Loading using backend <class 'pynbody.tipsy.TipsySnap'>\n", | |
"TipsySnap: loading /home/ics/roskar/isolated_runs/12M_hr_diff_coeff0.05/10/12M_hr_diff_coeff0.05.01000\n", | |
"TipsySnap: loading data from main file\n" | |
] | |
} | |
], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": [ | |
"Setting up the potentials" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Generate the `InterpSnapshotPotential` which extends the `interpRZPotential` and generates a grid for the potential/force evaluation:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%time interp_pot = InterpSnapshotPotential(s,numcores=16,rgrid = (np.log(0.01),np.log(20.),11), zgrid=(0.,5.0,11),logR=True,interpepifreq=True,interpverticalfreq=True,enable_c=True)\n", | |
"#%time interp_pot = interpRZPotential(snap_pot,numcores=16,rgrid = (numpy.log(0.01),numpy.log(20.),11), \\\n", | |
"# zgrid=(0.,1.0,11),logR=True,interpepifreq=False,interpverticalfreq=False,\\\n", | |
"# interpvcirc=True,enable_c=True,interpPot=True,interpDens=False, interpdvcircdr=False)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"CPU times: user 3min 30s, sys: 13 ms, total: 3min 30s\n", | |
"Wall time: 14 s\n" | |
] | |
} | |
], | |
"prompt_number": 9 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Check whether or not this new potential makes sense -- compare the rotation curve and midplane potential to ones calculated straight from the snapshot:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"p = pynbody.analysis.profile.Profile(s,max=20,nbins=50,type='log',min=.01)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 10 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"plt.plot(p['rbins'],p['v_circ'])\n", | |
"plt.plot(p['rbins'],interp_pot.vcirc(p['rbins']))\n", | |
"plt.semilogx()" | |
], | |
"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 1.23 s" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"\n" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 12, | |
"text": [ | |
"[]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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VqxdA0REwgISEBCwWC76+vsTGxp4z7ZmamkpeXh4hISEO24OCgrBarWTr2LaU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\nNygmAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x3352090>" | |
] | |
} | |
], | |
"prompt_number": 12 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"plot(p['rbins'],p['pot'])\n", | |
"plot(p['rbins'],interp_pot(p['rbins'],0.0))\n", | |
"semilogx()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"Profile: pot() -- warning, disk must be in the x-y plane\n", | |
"Potential calculated in 17.7 s" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"\n" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 17, | |
"text": [ | |
"[]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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V72p+1nAFBpqdCmj7vHYI2+FwyGKx7FMei4uLFRMTo9DQUOXl5TVYVlhYqOjoaEVERPjc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\njDmQkpISWSyWBl8ZGRlNWhd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Wi1FQUODd4GhxntresB1pHzz9/6fG9hSLYbTfv6LU3V7I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\nnADo7IAUCgAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x42c7450>" | |
] | |
} | |
], | |
"prompt_number": 17 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"frequencies are currently wrong... so this doesn't work: " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"plt.plot(p['rbins'],interp_pot.epifreq(p['rbins'])/interp_pot.omegac(p['rbins']),label='$2\\Omega_c$')\n", | |
"#plt.plot(p['rbins'],interp_pot.epifreq(p['rbins']),label='$\\kappa$')\n", | |
"#plt.loglog()\n", | |
"plt.legend()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": [ | |
"Getting the actions" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"aAS= actionAngleStaeckel(pot=interp_pot,delta=0.45,c=True)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 21 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"select just particles in a certain radial region:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"sn = pynbody.filt.BandPass('rxy','7 kpc','9 kpc')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 23 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"the action code requires contiguous arrays so we need to make sure we have them " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"rxy,vr,vt,z,vz = [np.ascontiguousarray(s.s[sn][x]) for x in ('rxy','vr','vt','z','vz')]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stderr", | |
"text": [ | |
"SimSnap: deriving array rxy\n", | |
"SimSnap: deriving array" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stderr", | |
"text": [ | |
" vr\n", | |
"SimSnap: deriving array r\n", | |
"SimSnap: deriving array" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stderr", | |
"text": [ | |
" vt\n", | |
"SimSnap: deriving array v2\n" | |
] | |
} | |
], | |
"prompt_number": 24 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"jr,lz,jz= aAS(rxy,vr,vt,z,vz)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 25 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"now we make some plots:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"h,x,y,im = plt.hist2d(lz/250.,jr/250.,range=[[3,11],[0,1.]],bins=50,cmap=plt.cm.Blues_r)\n", | |
"plt.xlabel('$L_z$ [250 kpc km s$^{-1}$]')\n", | |
"plt.ylabel('$J_R$ [250 kpc km s$^{-1}$]')\n", | |
"xs = (x[:-1]+x[1:])/2.0\n", | |
"ys = (y[:-1]+y[1:])/2.0\n", | |
"plt.contour(xs,ys,plt.log10(h.T),colors='k')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 30, | |
"text": [ | |
"<matplotlib.contour.QuadContourSet instance at 0xbb21e18>" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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H+AsIrxSn5iBOzYENq8mDsc/RqSG8rmPb99rcBjozHRpSX0aU1OK2P33TtW4r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\nNk4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Nv2T44DsILUhkxcMEK6/C6m/F7GnB6m3B7Gkh1rwDe/Ct07YUyEguzkgfSJWM1V8n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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0xbb1a690>" | |
] | |
} | |
], | |
"prompt_number": 30 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"h,x,y,im = plt.hist2d(jr/250.,jz/250.,range=[[0,1.0],[0,.1]],bins=50,cmap=plt.cm.Blues_r)\n", | |
"plt.xlabel('$J_R$ [250 kpc km s$^{-1}$]')\n", | |
"plt.ylabel('$J_z$ [250 kpc km s$^{-1}$]')\n", | |
"xs = (x[:-1]+x[1:])/2.0\n", | |
"ys = (y[:-1]+y[1:])/2.0\n", | |
"plt.contour(xs,ys,plt.log10(h.T),colors='k')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 34, | |
"text": [ | |
"<matplotlib.contour.QuadContourSet instance at 0x848e4d0>" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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5D6Eaa4Fs4x27WoTlN4osaISeHILBb7fdINTuJGq6F1mwh2D4NFbh3qs6t/Ha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\nUR9uwR++gBppQQ2cw0NgFd5sS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PDaPkNP9CJzao2vcTjbkL95plydNQ8SPfUroqd+gV28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MBg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\nTai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oRv6a0eLzOiQhCBcovij8Ip5ShA8/C8ojZeNvYaTM7hckwdSotmPIrKq4c/6MovW+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\naQ4JQoIgCIIgiGnO/wdGkhh10PeOZwAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x946ad50>" | |
] | |
} | |
], | |
"prompt_number": 34 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": [ | |
"Define a distribution function in this potential " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"frequencies don't work at the moment so this is wrong too but in principle this is basically how it should work:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from galpy.df import quasiisothermaldf" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 17 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Normalize the potential first, then regenerate the action angle object:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"interp_pot.normalize(R0=8.0)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"aAS= actionAngleStaeckel(pot=interp_pot,delta=0.45,c=True)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 19 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"hr = 2.5\n", | |
"sr = 60.0\n", | |
"sz = 20.0\n", | |
"hsr = 2.5\n", | |
"hsz = 1.0\n", | |
"R0 = interp_pot._normR0\n", | |
"Vc0 = interp_pot._normVc0" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 20 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"df = quasiisothermaldf(hr/R0,sr/Vc0,sz/Vc0,hsr/R0,hsz/R0,pot=interp_pot,aA=aAS)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 21 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"df(0.001,.85,0.01)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 22, | |
"text": [ | |
"array([ 2.67468451e-07])" | |
] | |
} | |
], | |
"prompt_number": 22 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"df.estimate_hr(1.0)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 23, | |
"text": [ | |
"0.017098309288583316" | |
] | |
} | |
], | |
"prompt_number": 23 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"df.density(1.0,0.0)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 24, | |
"text": [ | |
"4.0646713616658996e-23" | |
] | |
} | |
], | |
"prompt_number": 24 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 24 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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