We approximate the local group distance, radial velocity and proper motion likelihood function by sampling from the posterior distributions for these variables reported in the literature and transforming to kinematic variables in the M31-centric coordinate system.
In [1]:
import localgroup
import triangle
import sklearn
from sklearn import mixture
import numpy as np
import pickle
import matplotlib.patches as mpatches
Inside the Likelihood object is a "triplet" object called T, which contains an array of sample local groups, each with kinematic parameters consistent with the observational data. Let's plot these kinematic parameters in a "triangle" figure, to show all their 1 and 2-D marginal distributions.
In [6]:
L = localgroup.Likelihood(isPair=False)
L.generate(Nsamples=10000)
Inside method: heliocentric_equatorial_spherical_to_galactocentric_cartesian
l = [ 121.17440269 121.17440269 121.17440269 ..., 121.17440269 121.17440269
121.17440269]
b = [-21.57299867 -21.57299867 -21.57299867 ..., -21.57299867 -21.57299867
-21.57299867]
v_west: 125.471544 +/- 30.748845
v_north: -73.579075 +/- 28.191627
xh, yh, zh, vxh, vyh, vzh = [-0.37194928 -0.36608582 -0.37520557 ..., -0.36050606 -0.38513329
-0.37074366] [ 0.61478095 0.60508945 0.62016315 ..., 0.59586688 0.6365723
0.61278822] [-0.28409907 -0.27962049 -0.28658627 ..., -0.27535861 -0.29416917
-0.2831782 ] [ 48.81902821 22.45092399 36.63806764 ..., 22.46768128 49.06292476
101.03738557] [-319.75135719 -327.90802516 -349.93148433 ..., -337.87822709 -324.06132378
-322.80314432] [ 64.88291026 73.90721497 14.79547519 ..., 57.01610153 56.04928206
-5.89031258]
Inside method: heliocentric_equatorial_spherical_to_galactocentric_cartesian
l = [ 133.61015002 133.61015002 133.61015002 ..., 133.61015002 133.61015002
133.61015002]
b = [-31.33063998 -31.33063998 -31.33063998 ..., -31.33063998 -31.33063998
-31.33063998]
v_west: 87.824260 +/- 25.905991
v_north: 28.350452 +/- 32.757059
xh, yh, zh, vxh, vyh, vzh = [-0.46775956 -0.45646908 -0.46474743 ..., -0.46077549 -0.46632358
-0.48550565] [ 0.49102172 0.47916975 0.48785979 ..., 0.48369032 0.48951433
0.50965034] [-0.41282479 -0.40286029 -0.41016641 ..., -0.40666094 -0.41155745
-0.42848674] [ 79.72431925 29.53523903 49.38519932 ..., 23.26826119 8.56370968
59.64895657] [-156.12286499 -201.55591434 -162.53855273 ..., -169.27013466 -206.45788601
-156.95516252] [ 72.9402969 73.04748689 99.35594641 ..., 119.14587339 91.52098567
91.05771407]
In [7]:
L.set_PDF(mixture.GMM(n_components=10, covariance_type='full'))
L.approximate()
In [8]:
figure_obs = L.plot_samples(10, color='b', overlay=False)
---------------------------------------------------------------------------
RuntimeError Traceback (most recent call last)
<ipython-input-8-fe3d3c11cc33> in <module>()
----> 1 figure_obs = L.plot_samples(10, color='b', overlay=False)
/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/localgroup/likelihood.pyc in plot_samples(self, ngauss, color, fig, overlay)
142
143 try:
--> 144 figure = triangle.corner(self.samples, labels=self.labels, quantiles=[0.16,0.5,0.84], fig=fig, plot_contours=True, show_titles=True, title_kwargs={"fontsize": 16}, label_kwargs={"fontsize": 16}, color=color)
145 except AttributeError:
146 raise AttributeError("L.generate has not been run.")
/afs/slac.stanford.edu/u/ki/mwillia1/Libraries/triangle.py/triangle.pyc in corner(xs, weights, labels, show_titles, title_fmt, title_args, extents, truths, truth_color, scale_hist, quantiles, verbose, plot_contours, plot_datapoints, fig, **kwargs)
136
137 if fig is None:
--> 138 fig, axes = pl.subplots(K, K, figsize=(dim, dim))
139 else:
140 try:
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/pyplot.pyc in subplots(nrows, ncols, sharex, sharey, squeeze, subplot_kw, gridspec_kw, **fig_kw)
1076 gridspec_kw = {}
1077
-> 1078 fig = figure(**fig_kw)
1079 gs = GridSpec(nrows, ncols, **gridspec_kw)
1080
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/pyplot.pyc in figure(num, figsize, dpi, facecolor, edgecolor, frameon, FigureClass, **kwargs)
433 frameon=frameon,
434 FigureClass=FigureClass,
--> 435 **kwargs)
436
437 if figLabel:
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/backends/backend_qt4agg.pyc in new_figure_manager(num, *args, **kwargs)
45 FigureClass = kwargs.pop('FigureClass', Figure)
46 thisFig = FigureClass(*args, **kwargs)
---> 47 return new_figure_manager_given_figure(num, thisFig)
48
49
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/backends/backend_qt4agg.pyc in new_figure_manager_given_figure(num, figure)
52 Create a new figure manager instance for the given figure.
53 """
---> 54 canvas = FigureCanvasQTAgg(figure)
55 return FigureManagerQT(canvas, num)
56
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/backends/backend_qt4agg.pyc in __init__(self, figure)
70 if DEBUG:
71 print('FigureCanvasQtAgg: ', figure)
---> 72 FigureCanvasQT.__init__(self, figure)
73 FigureCanvasAgg.__init__(self, figure)
74 self._drawRect = None
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/backends/backend_qt4.pyc in __init__(self, figure)
66 if DEBUG:
67 print('FigureCanvasQt qt4: ', figure)
---> 68 _create_qApp()
69
70 # Note different super-calling style to backend_qt5
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/matplotlib/backends/backend_qt5.pyc in _create_qApp()
136 display = os.environ.get('DISPLAY')
137 if display is None or not re.search(':\d', display):
--> 138 raise RuntimeError('Invalid DISPLAY variable')
139
140 qApp = QtWidgets.QApplication([str(" ")])
RuntimeError: Invalid DISPLAY variable
The above plot shows a Gaussian Mixture model fitted Gaussians. The shaded regions show two standard deviations. The samples data has been preprocessed to zero the mean and scale by standard deviation. Since we are using the Gaussian Mixture Model to model the underlying PDF of the data, more components is always better.
Due to lack of a standard goodness of fit test for GMM's, the best we can do is graphically show that the model reproduces the data well. We proceed by drawing a set of points from the fitted model, where each point is a local group with (MW_D, MW_vr, MW_vt, M33_D, M33_vr, M33_vt). We then plot the 1D and 2D marginalizations of the drawn point set and show that the marginalizations match the marginalizations of the true data.
In [ ]:
figure_model = L.model_gof(L.T.Nsamples, color="r", fig=None)
In [ ]:
L.model_gof(L.T.Nsamples, color="r", fig=figure_obs)
red_patch = mpatches.Patch(color='red')
blue_patch = mpatches.Patch(color='blue')
figure_obs.legend(handles=[red_patch, blue_patch], labels=["Model Generated", "Observation Generated"])
In [ ]:
figure_obs
The above plot shows that the points drawn from the model create a population that is very similar to the true data.
In [ ]:
#figure_obs.savefig("/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/doc/thesis/plots/model_gof.png")
Below we read the preconfigured files containing the Consuelo (soon to be Dark Sky) Local Group analogs into a Triplet object. We plot the marginalizations of the simulation data, which allows us to compare with the LG prior.
In [ ]:
path = '/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/data_files/complete_triplets.txt'
npoints = 122000
halo_props = ['MW_Mvir', 'M31_Mvir', 'M33_Mvir']
In [ ]:
Tr = localgroup.Triplet(isPair=False)
Tr.read_sim_points(path, npoints, halo_props)
In [ ]:
Tr.transform_to_M31(sim=True)
In [ ]:
Tr.dist_filter((Tr.sim_samples[:,0] < 15) & (Tr.sim_samples[:,3] < 15))
In [ ]:
Tr.preprocess(L.samples_means, L.samples_stds, mode='sim')
In [14]:
sim_plot = Tr.plot_kinematics('sim', L.samples_means, L.samples_stds, color='c', fig=None)
Quantiles:
[(0.16, 0.54429987356933451), (0.5, 0.83856186414598255), (0.84, 1.0758098709334791)]
Quantiles:
[(0.16, -153.60158431235391), (0.5, -80.620618912825975), (0.84, -25.354235123371659)]
Quantiles:
[(0.16, 26.258409518260265), (0.5, 59.770437398443569), (0.84, 122.07576156349998)]
Quantiles:
[(0.16, 0.16586046786316302), (0.5, 0.28938210034489853), (0.84, 0.39857652966479784)]
Quantiles:
[(0.16, -129.80762382548977), (0.5, -55.684276137021811), (0.84, 39.094232468382053)]
Quantiles:
[(0.16, 43.192490283318733), (0.5, 96.526485581232151), (0.84, 177.70696210383454)]
In [15]:
Tr.sim_samples.shape
Out[15]:
(119848, 6)
In [16]:
Tr.M31.Mvir.shape
Out[16]:
(119848,)
In [ ]:
In [17]:
Tr.GMM_prior(40, 20000000)
Tr.compute_model_weights(L, "sim")
N95 = Tr.calculate_N95()
N95
Out[17]:
4521
In [19]:
Tr.MW.Mvir.shape
Out[19]:
(20000000,)
In [ ]:
Tr.plot_kinematics('sim', L.samples_means, L.samples_stds, color='g', fig=figure_model)
In [17]:
Tr.sim_samples = Tr.sim_samples[:,0:6]
Tr.compute_model_weights(L, "sim")
N95 = Tr.calculate_N95()
N95
Out[17]:
59
In [18]:
labs = ["MWMvir", "M31Mvir", "MW+M31"]
all_mvir = np.log10(np.transpose(np.vstack((Tr.MW.Mvir, Tr.M31.Mvir, Tr.LG_Mvir))))
figure = triangle.corner(all_mvir, labels=labs, quantiles=[0.16,0.5,0.84], fig=None, weights=Tr.weights,\
plot_contours=True, show_titles=True, title_args={"fontsize": 12}, \
plot_datapoints=False, bins=20, color='red')
Quantiles:
[(0.16, 12.165817954372736), (0.5, 12.25741253404796), (0.84, 12.330568638292208)]
Quantiles:
[(0.16, 12.095981149146782), (0.5, 12.191370853011113), (0.84, 12.269553712408412)]
-c:2: RuntimeWarning: invalid value encountered in log10
---------------------------------------------------------------------------
IndexError Traceback (most recent call last)
<ipython-input-18-25e7e1306b2e> in <module>()
1 labs = ["MWMvir", "M31Mvir", "MW+M31"]
2 all_mvir = np.log10(np.transpose(np.vstack((Tr.MW.Mvir, Tr.M31.Mvir, Tr.LG_Mvir))))
----> 3 figure = triangle.corner(all_mvir, labels=labs, quantiles=[0.16,0.5,0.84], fig=None, weights=Tr.weights, plot_contours=True, show_titles=True, title_args={"fontsize": 12}, plot_datapoints=False, bins=20, color='red')
/afs/slac.stanford.edu/u/ki/mwillia1/Libraries/triangle.py/triangle.pyc in corner(xs, weights, labels, show_titles, title_fmt, title_args, extents, truths, truth_color, scale_hist, quantiles, verbose, plot_contours, plot_datapoints, fig, **kwargs)
243 plot_contours=plot_contours,
244 plot_datapoints=plot_datapoints,
--> 245 weights=weights, **kwargs)
246 #xstep = (x.max() - x.min())/100.0
247 #ystep = (y.max() - y.min())/100.0
/afs/slac.stanford.edu/u/ki/mwillia1/Libraries/triangle.py/triangle.pyc in hist2d(x, y, *args, **kwargs)
345 style = kwargs.get("style", "shaded")
346
--> 347 ax = pdf2d(ax, x, y, imp, xbins, ybins, smooth, color, style)
348
349
/afs/slac.stanford.edu/u/ki/mwillia1/myPy/lib/python2.7/site-packages/pappy/plotting.pyc in pdf2d(axis, ax, ay, imp, xbins, ybins, smooth, color, style, conditional)
47 from scipy import ndimage
48
---> 49 axis.set_xlim([xbins[0],xbins[-1]])
50 axis.set_ylim([ybins[0],ybins[-1]])
51
IndexError: index 0 is out of bounds for axis 0 with size 0
In [20]:
filter_nan = np.logical_not(np.isnan(all_mvir[:,0]))&np.logical_not(np.isnan(all_mvir[:,1]))&np.logical_not(np.isnan(all_mvir[:,2]))
all_mvir = all_mvir[filter_nan]
weights = weights[filter_nan]
---------------------------------------------------------------------------
NameError Traceback (most recent call last)
<ipython-input-20-d04046a0d468> in <module>()
1 filter_nan = np.logical_not(np.isnan(all_mvir[:,0]))&np.logical_not(np.isnan(all_mvir[:,1]))&np.logical_not(np.isnan(all_mvir[:,2]))
2 all_mvir = all_mvir[filter_nan]
----> 3 weights = weights[filter_nan]
NameError: name 'weights' is not defined
In [16]:
all_mvir.shape
Out[16]:
(10000000, 3)
In [17]:
Tr.weights.shape
Out[17]:
(10000000,)
In [18]:
Tr.MW.Mvir.shape
Out[18]:
(10000000,)
In [25]:
filter_nan = np.logical_not(np.isnan(Tr.MW.Mvir[:]))&np.logical_not(np.isnan(Tr.M31.Mvir[:]))&np.logical_not(np.isnan(Tr.LG_Mvir[:]))
In [26]:
Tr.MW.Mvir[filter_nan].shape
Out[26]:
(10000000,)
In [27]:
filter_nan = np.logical_not(np.isnan(all_mvir[:,0]))&np.logical_not(np.isnan(all_mvir[:,1]))&np.logical_not(np.isnan(all_mvir[:,2]))
Tr.MW.Mvir[filter_nan].shape
Out[27]:
(9828632,)
In [ ]:
In [ ]:
In [15]:
dat = np.transpose(np.vstack((np.transpose(Tr.sim_samples), Tr.M31.Mvir, Tr.MW.Mvir, Tr.M33.Mvir)))
In [17]:
dat[:,0:6].shape
Out[17]:
(119867, 6)
In [17]:
Tr.GMM(10, dat)
In [18]:
Tr.GMM_sample(2000000)
In [19]:
weights = np.exp(L.evaluate(Tr.gmm_samples[:,0:6])[0])
total_weight = weights.sum()
weights = 1.0/total_weight*weights
total = Tr.gmm_samples[:,6] + Tr.gmm_samples[:,7]
all_mvir = np.log10(np.transpose(np.vstack((Tr.gmm_samples[:,7], Tr.gmm_samples[:,6], total))))
filter_nan = np.logical_not(np.isnan(all_mvir[:,0]))&np.logical_not(np.isnan(all_mvir[:,1]))&np.logical_not(np.isnan(all_mvir[:,2]))
labs = ["MWMvir", "M31Mvir", "MW+M31"]
weights = weights[filter_nan]
all_mvir = all_mvir[filter_nan]
-c:5: RuntimeWarning: invalid value encountered in log10
In [20]:
weights_copy = np.copy(weights)
weights_copy.sort()
weights_copy = weights_copy[::-1]
sum_t = 0
count = 0
while sum_t < 0.95:
sum_t = sum_t + weights_copy[count]
count = count + 1
count
Out[20]:
1
In [22]:
max(weights)
Out[22]:
0.06303742294396221
In [23]:
L.evaluate(Tr.gmm_samples[:,0:6])[0]
Out[23]:
array([ -7.51946076e+05, -4.41111454e+04, -7.40952175e+01, ...,
-1.93607042e+08, -2.70931029e+07, -3.06508728e+07])
In [24]:
figure = triangle.corner(all_mvir, labels=labs, quantiles=[0.16,0.5,0.84], fig=None, weights=weights,\
plot_contours=True, show_titles=True, title_args={"fontsize": 12}, \
plot_datapoints=False, bins=20, color='red')
Quantiles:
[(0.16, 12.270712052681947), (0.5, 12.327510457029085), (0.84, 12.381331578469808)]
Quantiles:
[(0.16, 11.974716988007016), (0.5, 12.074298249313221), (0.84, 12.169275820249814)]
Quantiles:
[(0.16, 12.50146223084209), (0.5, 12.524629425691167), (0.84, 12.551804631147549)]
In [44]:
pl = Tr.plot_kinematics(Tr.gmm_samples, 'gmm', L.samples_means, L.samples_stds, color='b', fig=None)
---------------------------------------------------------------------------
ValueError Traceback (most recent call last)
<ipython-input-44-53bc843588ca> in <module>()
----> 1 pl = Tr.plot_kinematics(Tr.gmm_samples, 'gmm', L.samples_means, L.samples_stds, color='b', fig=None)
/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/localgroup/triplet.pyc in plot_kinematics(self, data, mode, means, stds, color, fig)
216
217 def plot_kinematics(self, data, mode, means, stds, color, fig=None):
--> 218 self.unprocess(means, stds, mode)
219 if self.isPair:
220 # labs = ["MW_D", "MW_vr", "MW_vt"]
/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/localgroup/triplet.pyc in unprocess(self, means, stds, mode)
210 self.sim_samples = self.sim_samples*stds + means
211 elif mode == 'gmm':
--> 212 self.gmm_samples = self.gmm_samples*stds + means
213 return
214
ValueError: operands could not be broadcast together with shapes (100000,9) (6,)
In [47]:
pl
Out[47]:
In [ ]:
In [18]:
Tr.plot_kinematics('sim', L.samples_means, L.samples_stds, color='g', fig=figure_model)
Quantiles:
[(0.16, 0.54432883442137214), (0.5, 0.83823445407599118), (0.84, 1.0754473301838714)]
Quantiles:
[(0.16, -153.49292266160654), (0.5, -80.679103983142397), (0.84, -25.380586895720789)]
Quantiles:
[(0.16, 26.308324276645443), (0.5, 59.807925240219575), (0.84, 121.92405906804505)]
Quantiles:
[(0.16, 0.16595083608715366), (0.5, 0.28921618211984518), (0.84, 0.39838925688327687)]
Quantiles:
[(0.16, -129.86341662491122), (0.5, -55.610599820579409), (0.84, 39.143822064661542)]
Quantiles:
[(0.16, 43.223650657726587), (0.5, 96.595778815157217), (0.84, 177.89842854945257)]
Out[18]:
In [19]:
red_patch = mpatches.Patch(color='red')
green_patch = mpatches.Patch(color='green')
figure_model.legend(handles=[red_patch, green_patch], labels=["Model Generated", "Consuelo Triplets"])
figure_model
Out[19]:
In [20]:
#figure_model.savefig("/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/doc/thesis/plots/sim_plot.png")
In [22]:
Tr.compute_model_weights(L, "sim")
In [23]:
N95 = Tr.calculate_N95()
N95
Out[23]:
24
In [24]:
total = Tr.MW.Mvir + Tr.M31.Mvir
all_mvir = np.log10(np.transpose(np.vstack((Tr.MW.Mvir, Tr.M31.Mvir, total))))
labs = ["MWMvir", "M31Mvir", "MW+M31"]
In [25]:
all_mvir.shape
Out[25]:
(119849, 3)
In [30]:
figure = triangle.corner(all_mvir, labels=labs, quantiles=[0.16,0.5,0.84], fig=None, weights=np.transpose(Tr.weights),\
plot_contours=True, show_titles=True, title_args={"fontsize": 12}, \
plot_datapoints=False, bins=20, color='red')
Quantiles:
[(0.16, 11.80594512003993), (0.5, 11.818481906679796), (0.84, 12.108508799655986)]
Quantiles:
[(0.16, 11.557881183728497), (0.5, 11.977775260402531), (0.84, 12.218535505216527)]
Quantiles:
[(0.16, 12.008471993398343), (0.5, 12.106974776227686), (0.84, 12.468149341545365)]
In [32]:
red_patch = mpatches.Patch(color='red')
blue_patch = mpatches.Patch(color='blue')
figure_res.legend(handles=[red_patch, blue_patch], labels=["Triplets using M33 dynamics", "Pairs assuming M33 existence"])
figure_res
Out[32]:
In [36]:
#figure_res.savefig("/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/doc/thesis/plots/res_plot.png")
In [31]:
figure_res = triangle.corner(all_mvir, labels=labs, quantiles=[0.16,0.5,0.84], weights=np.transpose(Tr.weights),\
plot_contours=True, show_titles=True, title_args={"fontsize": 12}, \
plot_datapoints=False, bins=20, color='blue', fig=figure)
Quantiles:
[(0.16, 11.80594512003993), (0.5, 11.818481906679796), (0.84, 12.108508799655986)]
Quantiles:
[(0.16, 11.557881183728497), (0.5, 11.977775260402531), (0.84, 12.218535505216527)]
Quantiles:
[(0.16, 12.008471993398343), (0.5, 12.106974776227686), (0.84, 12.468149341545365)]
In [110]:
Tr.weights.shape
Out[110]:
(120645,)
In [66]:
xdata = total
plot(xdata, Tr.weights)
xscale('log')
In [67]:
bins = 20
xbins = np.logspace(np.log10(xdata.min()), np.log10(xdata.max()), bins)
ybins = [np.sum(Tr.weights[(xdata[:]>xbins[i]) & (xdata[:]<xbins[i+1])]) for i in range(bins-1)]
print len(xbins)
print len(ybins)
print len(xbins[:bins-1])
20
19
19
In [68]:
plot(xbins[:bins-1], ybins)
xscale('log')
In [40]:
xtrip = np.copy(xbins[:bins-1])
ytrip = np.copy(ybins)
In [45]:
xtripmw = np.copy(xbins[:bins-1])
ytripmw = np.copy(ybins)
In [65]:
xpairmw = np.copy(xbins[:bins-1])
ypairmw = np.copy(ybins)
In [69]:
xpair = np.copy(xbins[:bins-1])
ypair = np.copy(ybins)
In [80]:
plot(xtripmw, ytripmw, color='r')
plot(xpairmw, ypairmw, color='b')
ylabel('P(MMW)')
xlabel('MMW')
red_patch = mpatches.Patch(color='red')
blue_patch = mpatches.Patch(color='blue')
legend(["Trips, M33 dynamics", "Pairs, M33 existence"])
xscale('log')
#savefig("/afs/slac.stanford.edu/u/ki/mwillia1/Thesis/LocalGroupHaloProps/doc/thesis/plots/pdf_mw_plot.png")
In [75]:
legend?
In [ ]:
In [78]:
np.logspace?
In [13]:
labs = ["MWD", "MWvr", "MWvt", "M33D", "M33vr", "M33vt"]
In [14]:
figure = triangle.corner(Tr.sim_samples, labels=labs, quantiles=[0.16,0.5,0.84], \
plot_contours=True, show_titles=True, title_args={"fontsize": 12}, \
plot_datapoints=False, bins=20, color='blue')
Quantiles:
[(0.16, -5.7226828671443002), (0.5, 1.6400202687990817), (0.84, 7.541690091421267)]
Quantiles:
[(0.16, -10.075904354697036), (0.5, 6.2426499793695793), (0.84, 18.917184734931542)]
Quantiles:
[(0.16, -0.65816706822910132), (0.5, 0.95263210133194798), (0.84, 3.9946885206005671)]
Quantiles:
[(0.16, -4.6849186985061007), (0.5, 9.5306119067133306), (0.84, 21.845285344331309)]
Quantiles:
[(0.16, 0.15577634016068292), (0.5, 1.7097811715110651), (0.84, 3.6857156249942125)]
Quantiles:
[(0.16, -2.4902007607585293), (0.5, -0.85682802692364812), (0.84, 1.6268137616355249)]
In [23]:
x = Tr.sim_samples[:,0]
y = Tr.sim_samples[:,3]
xbins = np.arange(x.min(), x.max(), .25)
ybins = np.arange(y.min(), y.max(), .25)
imp = None
smooth=True
color = 'r'
style = 'shaded'
In [ ]:
In [16]:
from pappy.plotting import pdf2d
In [30]:
fi, axs = subplots(2,2)
axis = axs[0,0]
In [19]:
axs = figure.get_axes()
In [22]:
axis = axs[0]
In [24]:
ax = pdf2d(axis,x,y,imp, xbins, ybins, smooth, color, style)
In [25]:
figure
Out[25]:
In [ ]:
In [ ]:
In [27]:
ax = pdf2d(axis,x,y,imp, xbins, ybins, smooth, color, style)
In [28]:
fi
Out[28]:
In [33]:
axis
Out[33]:
<matplotlib.axes._subplots.AxesSubplot at 0x69abf90>
In [83]:
ax.get_figure?
In [70]:
figure.set_axes?
In [72]:
ax2=gca()
In [73]:
from pylab import histogram2d
In [75]:
ax2.hist2d?
In [76]:
histogram2d?
In [81]:
gcf()
Out[81]:
<matplotlib.figure.Figure at 0xbee6c90>
<matplotlib.figure.Figure at 0xbee6c90>
In [31]:
triangle.hist2dnew(x,y,xbins = np.arange(x.min(), x.max(), .25), ax=axis, ybins = np.arange(y.min(), y.max(), .25), imp = None, smooth=True, color = 'r', style = 'shaded')
In [32]:
fi
Out[32]:
In [35]:
a = np.ndarray((3,3))
In [36]:
a.flatten?
In [5]:
np.arange?
In [2]:
a = np.array([1,1,9,1,9,9,1])
b = np.array([2,2,2,0,11,8,1])
In [3]:
a<b
Out[3]:
array([ True, True, False, False, True, False, False], dtype=bool)
In [4]:
a[a<b]
Out[4]:
array([1, 1, 9])
In [ ]:
In [ ]:
In [1]:
import sys
sys.path.append('/u/ki/yymao/pyscripts')
from helpers.SimulationAnalysis import readHlist
from fast3tree import fast3tree
In [2]:
def find_pairs(points, D):
pairs = []
with fast3tree(points) as tree:
for i, p in enumerate(points):
idx = tree.query_radius(p, D, True, 'index')
idx = idx[idx > i]
pairs.extend(((i, j) for j in idx))
return pairs
In [33]:
path = '/nfs/slac/g/ki/ki20/cosmo/behroozi/Consuelo/4001/hlists/hlist_1.00000.list'
halos = readHlist(path)
In [76]:
hosts = halos[halos['upid']==-1]
In [77]:
hosts = hosts[hosts['vmax']>80]
In [78]:
hosts.shape
Out[78]:
(1876946,)
In [79]:
z = np.vstack((hosts['x'], hosts['y'], hosts['z'])).T
z = z[1100000:1200000]
masses = hosts['mvir'][1100000:1200000]
In [82]:
z[:,2].max()
Out[82]:
419.99713000000003
In [83]:
pairs = find_pairs(z, 1.0)
In [84]:
def find_periodic_midpoint(p1, p2, box_size):
ndim = len(p1)
mid = []
for i in range(ndim):
non_pbc_dist = np.abs(p1[i] - p2[i])
if non_pbc_dist < box_size/2.0:
mid.append(p1[i] - np.sign(p1[i] - p2[i])*non_pbc_dist/2.0)
else:
pbc_dist = box_size - non_pbc_dist
mid.append((p1[i] + np.sign(p1[i] - p2[i])*pbc_dist/2.0 + box_size)%box_size)
return mid
In [85]:
def isolated(ps, D, points, masses):
print 'before: ', len(ps)
iso_pairs = []
for pair in ps:
ptA = points[pair[0]]
ptB = points[pair[1]]
mid = find_periodic_midpoint(ptA, ptB, 420)
with fast3tree(points) as tree:
idx = tree.query_radius(mid, D, True, 'index')
masses_in_iso_region = np.array([masses[ind] for ind in idx])
masses_in_iso_region.sort()
masses_in_iso_region = masses_in_iso_region[::-1]
massA = masses[pair[0]]
massB = masses[pair[1]]
print pair
if ((massA==masses_in_iso_region[0] and massB==masses_in_iso_region[1]) or \
(massA==masses_in_iso_region[1] and massB==masses_in_iso_region[0])):
iso_pairs.append(pair)
print 'after: ', len(iso_pairs)
return iso_pairs
In [86]:
isopairs = isolated(pairs, 2, z, masses)
before: 13347
(3, 2272)
(97, 32465)
(119, 2545)
(274, 820)
(276, 12225)
(289, 1392)
(302, 35040)
(304, 1398)
(349, 2019)
(366, 6582)
(449, 450)
(462, 1919)
(487, 1941)
(489, 5615)
(492, 5616)
(523, 524)
(559, 1978)
(562, 2649)
(717, 3141)
(802, 3352)
(821, 2435)
(866, 2155)
(917, 918)
(930, 44465)
(935, 3388)
(945, 3241)
(948, 2636)
(954, 3221)
(977, 2013)
(989, 2467)
(1004, 1005)
(1028, 1029)
(1031, 4583)
(1031, 8524)
(1034, 1783)
(1036, 2559)
(1083, 2916)
(1093, 1934)
(1094, 3417)
(1157, 66794)
(1180, 1973)
(1221, 1690)
(1224, 3348)
(1257, 3122)
(1308, 3326)
(1337, 3185)
(1401, 3023)
(1481, 6601)
(1536, 4507)
(1545, 1794)
(1588, 3407)
(1639, 2895)
(1687, 2331)
(1689, 1690)
(1692, 2972)
(1737, 1738)
(1842, 3384)
(1862, 3368)
(1952, 4505)
(1972, 2645)
(2133, 2480)
(2230, 3086)
(2231, 2843)
(2244, 19666)
(2258, 2983)
(2307, 61440)
(2397, 10379)
(2417, 10382)
(2435, 3204)
(2468, 2857)
(2505, 3199)
(2692, 2693)
(2717, 3185)
(2747, 77128)
(2767, 3344)
(2803, 32467)
(2825, 2826)
(2882, 4497)
(2891, 3425)
(2903, 3131)
(3026, 4474)
(3089, 6622)
(3212, 3213)
(3282, 22410)
(3298, 6617)
(3387, 4568)
(3517, 5903)
(3517, 93144)
(3518, 67209)
(3520, 99430)
(3533, 67641)
(3534, 57153)
(3534, 24057)
(3540, 67615)
(3543, 23438)
(3544, 10946)
(3544, 47321)
(3546, 70916)
(3549, 9247)
(3551, 42178)
(3551, 10691)
(3551, 86673)
(3553, 33671)
(3553, 61721)
(3554, 9046)
(3554, 23977)
(3556, 87228)
(3556, 9354)
(3562, 53125)
(3566, 99884)
(3568, 42404)
(3570, 47848)
(3574, 40390)
(3575, 99706)
(3576, 87421)
(3577, 5781)
(3579, 15099)
(3579, 30713)
(3580, 86774)
(3580, 83451)
(3582, 33838)
(3584, 42373)
(3588, 10742)
(3589, 87444)
(3592, 83026)
(3593, 99182)
(3593, 40462)
(3595, 86912)
(3596, 61888)
(3597, 34090)
(3600, 83372)
(3602, 87191)
(3602, 62100)
(3604, 30801)
(3604, 20311)
(3604, 24094)
(3604, 25802)
(3605, 15089)
(3605, 83245)
(3605, 57154)
(3607, 56975)
(3608, 19960)
(3610, 70969)
(3612, 70426)
(3616, 15568)
(3616, 83456)
(3616, 31015)
(3620, 47221)
(3620, 15802)
(3622, 47461)
(3624, 66992)
(3624, 5709)
(3625, 30685)
(3625, 92904)
(3627, 61646)
(3629, 92988)
(3629, 67369)
(3632, 20253)
(3633, 25932)
(3633, 15647)
(3633, 23393)
(3633, 47470)
(3634, 99851)
(3634, 52760)
(3634, 4098)
(3634, 40417)
(3635, 70747)
(3636, 57645)
(3636, 67390)
(3636, 25285)
(3637, 93602)
(3638, 70431)
(3638, 87155)
(3640, 15136)
(3640, 47098)
(3640, 40047)
(3641, 9188)
(3642, 33924)
(3643, 70412)
(3644, 34118)
(3645, 99901)
(3646, 67487)
(3647, 52891)
(3650, 47190)
(3652, 10610)
(3655, 39839)
(3656, 23645)
(3657, 99499)
(3658, 40548)
(3661, 40534)
(3663, 61623)
(3665, 24206)
(3665, 31007)
(3668, 6462)
(3671, 86759)
(3673, 47824)
(3674, 25558)
(3675, 87106)
(3675, 99295)
(3676, 20458)
(3676, 20156)
(3679, 9124)
(3680, 41656)
(3680, 83206)
(3680, 67137)
(3682, 40372)
(3682, 61699)
(3683, 87029)
(3684, 71175)
(3685, 93148)
(3686, 83337)
(3689, 15771)
(3690, 34207)
(3690, 47364)
(3690, 53015)
(3692, 57704)
(3692, 42253)
(3695, 5743)
(3697, 67317)
(3702, 3916)
(3706, 61596)
(3707, 78406)
(3708, 8794)
(3709, 47638)
(3714, 83411)
(3715, 4186)
(3715, 4201)
(3716, 47115)
(3716, 83435)
(3717, 57019)
(3717, 99303)
(3718, 33903)
(3718, 5674)
(3718, 86861)
(3719, 61567)
(3726, 56978)
(3726, 78332)
(3729, 83428)
(3731, 57380)
(3733, 83741)
(3735, 8893)
(3738, 99728)
(3744, 4173)
(3752, 99247)
(3756, 67274)
(3756, 87295)
(3756, 15392)
(3757, 86964)
(3757, 4166)
(3759, 52806)
(3762, 10677)
(3763, 31215)
(3764, 25383)
(3764, 10837)
(3769, 6048)
(3769, 15438)
(3771, 33717)
(3771, 99496)
(3772, 24037)
(3775, 87101)
(3775, 78405)
(3778, 31313)
(3778, 42285)
(3778, 25287)
(3778, 25411)
(3778, 10903)
(3778, 70583)
(3781, 26013)
(3781, 4052)
(3782, 87366)
(3782, 52494)
(3782, 6121)
(3782, 86975)
(3789, 23944)
(3791, 33578)
(3791, 23885)
(3792, 83507)
(3793, 25911)
(3795, 4067)
(3795, 10595)
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(3797, 47729)
(3798, 23364)
(3801, 93280)
(3802, 92906)
(3803, 70751)
(3804, 40157)
(3806, 25336)
(3807, 61527)
(3809, 5916)
(3811, 4198)
(3813, 34008)
(3813, 8688)
(3822, 99617)
(3822, 57664)
(3824, 83772)
(3827, 5808)
(3834, 70446)
(3835, 25179)
(3836, 4082)
(3836, 57114)
(3840, 9351)
(3844, 61505)
(3846, 10605)
(3847, 53142)
(3847, 20480)
(3848, 83217)
(3848, 5827)
(3852, 4027)
(3853, 39835)
(3853, 52603)
(3855, 83488)
(3855, 57504)
(3855, 87423)
(3855, 78404)
(3859, 31535)
(3860, 23423)
(3862, 99615)
(3863, 53020)
(3863, 70636)
(3865, 86796)
(3866, 87379)
(3869, 61724)
(3870, 78115)
(3870, 40310)
(3872, 15889)
(3873, 77802)
(3874, 40606)
(3875, 11122)
(3876, 93002)
(3878, 53324)
(3879, 67093)
(3880, 67315)
(3881, 5650)
(3884, 52494)
(3885, 5900)
(3888, 42327)
(3892, 78011)
(3892, 99261)
(3892, 33878)
(3894, 23832)
(3898, 19788)
(3898, 77905)
(3906, 41718)
(3906, 5820)
(3909, 66943)
(3909, 78316)
(3913, 10498)
(3913, 20524)
(3913, 93042)
(3914, 67514)
(3915, 25983)
(3917, 47737)
(3917, 67610)
(3919, 71089)
(3924, 70956)
(3925, 6117)
(3926, 62191)
(3928, 6247)
(3928, 70838)
(3931, 78182)
(3932, 47838)
(3934, 10691)
(3934, 86673)
(3935, 62109)
(3938, 98008)
(3948, 83010)
(3950, 20181)
(3951, 93024)
(3952, 40061)
(3952, 99604)
(3953, 31536)
(3957, 20468)
(3958, 61745)
(3958, 20545)
(3962, 25882)
(3962, 53044)
(3967, 25995)
(3967, 5937)
(3968, 8674)
(3969, 25600)
(3972, 71033)
(3972, 31486)
(3975, 20177)
(3977, 8772)
(3980, 25561)
(3982, 62163)
(3982, 93168)
(3983, 8767)
(3985, 47778)
(3986, 30974)
(3986, 47832)
(3987, 25782)
(3989, 15135)
(3993, 57544)
(3993, 67451)
(3997, 39926)
(3999, 42078)
(4001, 41847)
(4003, 15891)
(4008, 57436)
(4009, 30871)
(4012, 11056)
(4012, 70680)
(4014, 8679)
(4018, 40325)
(4020, 62180)
(4022, 33950)
(4024, 78356)
(4024, 67702)
(4026, 99556)
(4028, 15451)
(4029, 23363)
(4032, 10711)
(4035, 6209)
(4041, 70683)
(4044, 25859)
(4045, 10981)
(4045, 52972)
(4047, 19990)
(4048, 10686)
(4052, 26013)
(4053, 5813)
(4054, 23920)
(4054, 67193)
(4056, 61924)
(4059, 42041)
(4059, 5884)
(4060, 41929)
(4061, 42248)
(4064, 10598)
(4074, 99636)
(4082, 57114)
(4083, 70884)
(4083, 78036)
(4086, 8649)
(4086, 20135)
(4088, 23382)
(4090, 47853)
(4092, 4167)
(4094, 19804)
(4095, 10616)
(4097, 10764)
(4098, 40417)
(4099, 40059)
(4100, 57225)
(4103, 61850)
(4105, 6080)
(4105, 15044)
(4106, 62301)
(4108, 34020)
(4110, 67070)
(4112, 62150)
(4113, 41799)
(4113, 15904)
(4115, 33910)
(4116, 9236)
(4116, 24173)
(4118, 10683)
(4118, 40603)
(4118, 52689)
(4122, 86948)
(4122, 77696)
(4123, 25413)
(4127, 31282)
(4127, 5770)
(4129, 40203)
(4129, 31249)
(4131, 40563)
(4134, 15554)
(4137, 99892)
(4139, 92998)
(4139, 47588)
(4141, 86710)
(4142, 6142)
(4144, 9061)
(4144, 93477)
(4144, 39898)
(4144, 57304)
(4144, 92933)
(4145, 99736)
(4148, 56997)
(4149, 41920)
(4151, 30696)
(4153, 25947)
(4153, 47359)
(4155, 57030)
(4156, 93173)
(4159, 25773)
(4159, 25344)
(4159, 40516)
(4160, 71057)
(4166, 86964)
(4166, 47167)
(4169, 5836)
(4169, 10725)
(4169, 8889)
(4169, 47168)
(4169, 61856)
(4172, 77786)
(4176, 4275)
(4176, 71083)
(4180, 93514)
(4182, 86979)
(4185, 42053)
(4185, 93342)
(4186, 4201)
(4187, 42177)
(4187, 33776)
(4187, 25582)
(4188, 61627)
(4189, 93135)
(4195, 70494)
(4196, 5839)
(4198, 47088)
(4203, 6210)
(4203, 42286)
(4210, 5946)
(4213, 83609)
(4215, 34134)
(4215, 10626)
(4217, 57575)
(4218, 20045)
(4219, 40245)
(4222, 67456)
(4226, 42176)
(4231, 9103)
(4234, 47528)
(4243, 47539)
(4243, 57147)
(4251, 23480)
(4252, 47903)
(4252, 25353)
(4254, 9316)
(4254, 61893)
(4254, 99140)
(4255, 86575)
(4255, 20313)
(4258, 87209)
(4258, 6105)
(4259, 9203)
(4263, 99260)
(4270, 83532)
(4271, 61618)
(4273, 61850)
(4275, 71083)
(4277, 83312)
(4278, 83324)
(4282, 9337)
(4284, 93215)
(4284, 20401)
(4284, 83248)
(4291, 78389)
(4293, 25836)
(4294, 15291)
(4296, 33451)
(4309, 11023)
(4310, 5968)
(4311, 40087)
(4312, 33714)
(4314, 87321)
(4320, 10693)
(4321, 66973)
(4321, 30726)
(4323, 57648)
(4323, 9255)
(4325, 33960)
(4325, 23506)
(4326, 39831)
(4326, 70658)
(4328, 9038)
(4329, 83674)
(4331, 61712)
(4332, 61460)
(4339, 9422)
(4339, 24106)
(4339, 20369)
(4344, 23976)
(4345, 87359)
(4345, 15120)
(4346, 6532)
(4347, 10780)
(4352, 6134)
(4353, 33879)
(4356, 15324)
(4358, 53000)
(4359, 25777)
(4362, 40199)
(4365, 99483)
(4369, 5984)
(4370, 9090)
(4370, 93526)
(4374, 83645)
(4375, 23375)
(4375, 9161)
(4375, 92904)
(4377, 30977)
(4382, 33799)
(4382, 53151)
(4382, 31507)
(4382, 33664)
(4383, 47381)
(4384, 52686)
(4384, 86774)
(4384, 52620)
(4384, 24144)
(4384, 6163)
(4384, 31379)
(4385, 40192)
(4386, 77863)
(4386, 10728)
(4390, 31559)
(4392, 33988)
(4392, 52854)
(4394, 47141)
(4394, 47399)
(4394, 23736)
(4400, 52779)
(4404, 57459)
(4410, 57134)
(4410, 67283)
(4410, 53255)
(4411, 61482)
(4414, 6155)
(4416, 83093)
(4416, 93697)
(4416, 86790)
(4421, 11255)
(4423, 11035)
(4460, 7554)
(4501, 41557)
(4517, 17815)
(4540, 14102)
(4544, 7570)
(4672, 54315)
(4674, 32543)
(4677, 13950)
(4677, 54290)
(4677, 22598)
(4679, 98163)
(4687, 44762)
(4690, 38220)
(4691, 68164)
(4692, 16692)
(4693, 68168)
(4693, 38328)
(4694, 13742)
(4695, 45003)
(4695, 54521)
(4699, 38307)
(4700, 98189)
(4702, 92779)
(4708, 60622)
(4710, 86505)
(4712, 61240)
(4721, 38159)
(4728, 26580)
(4728, 26475)
(4735, 91981)
(4737, 16562)
(4740, 85709)
(4746, 10099)
(4747, 67804)
(4747, 86236)
(4747, 54903)
(4747, 67805)
(4747, 16138)
(4752, 78875)
(4755, 9491)
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after: 5484
In [88]:
isopairs
Out[88]:
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In [29]:
z[25]
Out[29]:
array([ 266.56378, 113.36509, 403.80612])
In [25]:
pairs[15000:]
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...]
In [92]:
t = [1,2,5,3,4,9,7,88]
In [97]:
t.index(max(t))
Out[97]:
7
In [96]:
max(t)
Out[96]:
88
In [ ]:
Content source: drphilmarshall/LocalGroupHaloProps
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