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- 13 participants
- 20 discussions
Dear yt:
Is there a way to have normalized axis units for streamline plotting?
I want my x axis (xmin, xmax) to be in the units of (xmin/30, xmax/30).
Similarly, for y axis.
Thank you in advance
SCRIPT:
import yt
import numpy as np
import os
import matplotlib.pyplot as plt
import matplotlib
ms = 24000000
vector_max=ms-(ms/3)
ms1=ms-vector_max
dims = (200,200,200)
x =
np.genfromtxt("/work/jbi157/MODEL7/UPDATE_B/yo_n_t105.mtx",skip_header=2,usecols=1,
dtype="f8")
x = x.reshape((8000000, 3), order="F")
field1 = x[:,2].reshape(dims, order="F")
field2 = x[:,1].reshape(dims, order="F")
field3 = x[:,0].reshape(dims, order="F")
data = dict(velocity_x = field1,
velocity_y = field2,
velocity_z = field3)
bbox = np.array([[-100, 99], [-100, 99], [-100, 99]])
ds = yt.load_uniform_grid(data, dims, 'km', bbox=bbox, nprocs=1)
L = [0, 1, 0]
north_vector = [0.87, 0, 0.5]
slc = yt.OffAxisSlicePlot(ds, L, 'cutting_plane_velocity_x',
center=[0,0,0], width=(180,'km'), north_vector=north_vector)
vel = slc._frb['velocity_magnitude']
U = slc._frb['cutting_plane_velocity_y']
V = slc._frb['cutting_plane_velocity_x']
extentx = [slc.xlim[i].in_units('km') for i in (0, 1)]
extenty = [slc.ylim[i].in_units('km') for i in (0, 1)]
extent = extentx + extenty
x = np.linspace(extentx[0], extentx[1], vel.shape[0])
y = np.linspace(extenty[1], extenty[0], vel.shape[1])
X, Y = np.meshgrid(x, y)
normalize = False # Turn off normalize if you use streamplot
if normalize is True:
N = np.sqrt(U**2+V**2)
U /= N
V /= N
else:
U = U.d
V = V.d
factor = 40
#norm = matplotlib.colors.Normalize(vmin=vel.min(), vmax=vel.max(),
clip=True)
#norm = matplotlib.colors.LogNorm(vmin=vel.min(), vmax=vel.max(),
clip=True)
#norm = matplotlib.colors.NoNorm(vmin=vel.min(), vmax=vel.max(), clip=True)
#norm = matplotlib.colors.PowerNorm(gamma=0.5,vmin=vel.min(),
vmax=vel.max(), clip=True)
norm = matplotlib.colors.SymLogNorm(linthresh=0.01,vmin=vel.min(),
vmax=vel.max(), clip=True)
plt.streamplot(np.array(X),np.array(Y),np.array(U),np.array(V),
density=2,color='blue') # Here density adjusts the density of streamlines
#plt.imshow(vel.d, extent=extent, norm=norm)
#plt.imshow(vel.d, extent=extent, norm=norm, cmap='seismic')
plt.imshow(vel.d, extent=extent, norm=norm, cmap=plt.cm.coolwarm)
circle=plt.Circle((0,0),9,color='gray')
fig = plt.gcf()
fig.gca().add_artist(circle)
plt.colorbar()
#plt.title("Angle = 45$^{\circ}$, Grid size = 200\n Power Normalize, Gamma
= 0.5")
#plt.title("Angle = 45$^{\circ}$, Grid size = 200\n Linear Normalize")
plt.title("Angle = 60$^{\circ}$, x-z plane")
plt.axis([-72, 72, -72, 72])
plt.axis('off')
#plt.savefig('stream_plot_Norm.png')
#plt.savefig('stream_plot_LogNorm.png')
#plt.savefig('stream_plot_NoNorm.png')
#plt.savefig('stream_plot_PowerNorm.png')
plt.savefig('stream_plot_t0105.png')
--
*SK2*
*"**Claiming that something can move faster than light is a good
conversation-stopper in physics. People edge away from you in cocktail
parties; friends never return phone calls. You just don’t mess with Albert
Einstein.**"*
1
0
Hello,
I knew that I could use annotate_magnetic_field(), annotate_streamlines(), annotate_line_integral_convolution(), or annotate_cquiver() for 2D plots,
and yt.visualization.api, Streamlines for 3D stream lines (with Axes3D, ugly).
Is it possible to plot streamlines/vectors (magnetic field or velocity field) together with a volume rendering plot (not Isocontours)?
Many thanks,
Kuo-Chuan
3
2
yt 3.4.1 release notes
The yt community is proud to announce the release of yt 3.4.1. This is a
patch release and includes a number of improvements and bugfixes. Note that
one of the bugs fixed in this release silently produced invalid results for
the values of certain yt fields. See the release notes below for more
details.
yt (https://yt-project.org) is an open source, community developed toolkit
for the analysis and visualization of volumetric data. Development is
hosted on GitHub (https://github.com/yt-project/yt).
This release includes contributions from 20 contributors, five of whom
contributed for the first time:
- *Christoph Behrens*
- *Josh Borrow*
- Corentin Cadiou
- Yi-Hao Chen
- Bili Dong
- Nathan Goldbaum
- Philipp Grete
- *Stephanie Ho*
- Cameron Hummels
- Suoqing Ji
- Max Katz
- Kacper Kowalik
- Andrew Myers
- Hugo Pfister
- Justin Schive
- Britton Smith
- *Josh Soref*
- Matthew Turk
- *Daniel Wilcox*
- John ZuHone
The bolded names indicate first-time contributors. We extend our sincere
gratitude to everyone who has contributed!
See the changelog below for a summary of new features, changes, and
bugfixes.
For more information, including installation instructions, links to
community resources, and information on contributing to yt’s development,
please see the yt homepage at http://yt-project.org and the documentation
for yt 3.4.1 at http://yt-project.org/docs/3.4.1.
Binaries for yt 3.4.1 are available via pip and conda. If you installed via
the install script or use conda to manage your python installation, you can
update yt via:
$ conda update -c conda-forge yt
And via pip if you manage your python installation with pip:
$ pip install -U yt
As always, if you have any questions, concerns, or run into any trouble
updating please don’t hesitate to send a message to the mailing list or
stop by our Slack or IRC channel.
yt is the product of a large community of developers and users and we are
extraordinarily grateful for and proud of their contributions. Please
forward this announcement on to any interested parties.
Best,
The yt development team
<https://hackmd.io/CYMwhgjGYBzAtAUwGwQEbwCwFYQbIgMabwAMYAnMmoYQOywgDMQA?both…>Critical
Bugfixes
- The data returned by fields corresponding to the theta or phi
component of a vector field in spherical coordinates or the theta component
in cylindrical coordinates, including velocity_spherical_theta,
velocity_spherical_phi, and velocity_cylindrical_theta as well as the
corresponding magnetic field components have been silently returning
incorrect results. If you are doing analysis using those fields we strongly
encourage you to update to this latest release to get fixed versions of
these fields. See PR 1687 <https://github.com/yt-project/yt/pull/1687>.
- Define the code_specific_energy unit and ds.specific_energy_unit
attribute. This allows user control over the value of the specific energy
unit independent of the velocity unit and fixes an inconsistency in the
units of the Gadget internal energy and temperature fields. See PR 1611
<https://github.com/yt-project/yt/pull/1611> and PR 1675
<https://github.com/yt-project/yt/pull/1675>.
- Numpy 1.14.0 introduced changes to array printing which caused
recursion errors when printing a YTArray instance. This will be fixed
upstream in 1.14.1 but we have also restored support for NumPy 1.14.0 in yt
by avoiding triggering the error. See PR 1661
<https://github.com/yt-project/yt/pull/1661>.
<https://hackmd.io/CYMwhgjGYBzAtAUwGwQEbwCwFYQbIgMabwAMYAnMmoYQOywgDMQA?both…>Minor
Improvements and Bugfixes
- Halo finders can now run in parallel on Python 3. See PR 1538
<https://github.com/yt-project/yt/pull/1538> and pPR 1690](
https://github.com/yt-project/yt/pull/1690).
- The QT5 backend can now be used to display yt plots interactively. See PR
1540 <https://github.com/yt-project/yt/pull/1540>.
- A number of misspellings across the codebase and documentation have
been corrected. See PR 1542 <https://github.com/yt-project/yt/pull/1542>
and PR 1575 <https://github.com/yt-project/yt/pull/1575>.
- An off-by-one error in the particle_filter_sfr.py cookbook recipe has
been fixed. See PR 1547 <https://github.com/yt-project/yt/pull/1547>.
- The tipsy frontend will ignore invalid auxiliary files instead of
raising an exception. See PR 1549
<https://github.com/yt-project/yt/pull/1549>.
- Fixed a typo in the Gadget header specification. See PR 1550
<https://github.com/yt-project/yt/pull/1550>.
- Parse units more gracefully in the FITS frontend. See PR 1553
<https://github.com/yt-project/yt/pull/1553>.
- Handle units more gracefully when calculating quantities in the halo
catalog. See PR 1558 <https://github.com/yt-project/yt/pull/1558>.
- Ensure the PPVCube functionality works when a temperature field is not
present. See PR 1562 <https://github.com/yt-project/yt/pull/1562>.
- Avoid an error when saving spatial fields for a clump data object. See PR
1567 <https://github.com/yt-project/yt/pull/1567>.
- ProfilePlot.set_unit and PhasePlot.set_unit will now handle tuple
field names correctly. See PR 1568
<https://github.com/yt-project/yt/pull/1568>.
- Properly set attributes when reloading ytdata datasets generated from
an arbitrary_grid data object. See PR 1569
<https://github.com/yt-project/yt/pull/1569>.
- Fix units in light cone projection. See PR 1574
<https://github.com/yt-project/yt/pull/1574>.
- Allow loading Gadget datasets when some cosmology parameters are not
present in the header. See PR 1578
<https://github.com/yt-project/yt/pull/1578>.
- Correct typo in WarpX field definitions. See PR 1583
<https://github.com/yt-project/yt/pull/1583>.
- Fix corner case in parsing Enzo parameter files. See PR 1586
<https://github.com/yt-project/yt/pull/1586>.
- Ensure clump parents ids are updated correctly when child clumps are
pruned. See PR 1587 <https://github.com/yt-project/yt/pull/1587>.
- Ensure the bulk_magnetic_field field parameter is always set to a null
default value if it is not otherwise explicitly set. See PR 1588
<https://github.com/yt-project/yt/pull/1588>.
- Prevent NaNs from polluting profile calculations when the profile
weight field has values equal to zero. See PR 1590
<https://github.com/yt-project/yt/pull/1590>.
- Ensure _switch_ds() works with ParticleProjectionPlot. See PR 1594
<https://github.com/yt-project/yt/pull/1594>.
- Fix the colors of the axes triad generated by the volume rendering
annotate_axes helper function. See PR 1596
<https://github.com/yt-project/yt/pull/1596>.
- Fix zooming of slices and projections of data with a 2D cylindrical
geometry. See PR 1597 <https://github.com/yt-project/yt/pull/1597>.
- Ensure field accesses on 2D grid data objects return data with a dummy
dimension. See PR 1603 <https://github.com/yt-project/yt/pull/1603>.
- Fix broken links in the documentation. See PR 1615
<https://github.com/yt-project/yt/pull/1615> and PR 1627
<https://github.com/yt-project/yt/pull/1627>.
- Avoid errors when parsing boolean parameters in the Boxlib frontend.
See PR 1619 <https://github.com/yt-project/yt/pull/1619>.
- Populate the _particle_type_counts dictionary for AMReX datasets. This
means that ds.particle_type_counts will function correctly. See PR 1621
<https://github.com/yt-project/yt/pull/1621>.
- Ensure the "rad" (an alias to the "radian" unit defined for
compatibility with Astropy) has the correct dimensions of angle instead of
solid angle. See PR 1628 <https://github.com/yt-project/yt/pull/1628>.
- Fix unit conversion issue in the annotate_quiver plot callback. See PR
1633 <https://github.com/yt-project/yt/pull/1633>.
- Fix unit conversion error in deposited particle velocity and age
fields. See PR 1638 <https://github.com/yt-project/yt/pull/1638>.
- Added deprecation warnings for the LightRay and AbsorptionSpectrum
functionality. Development of this functionality has moved to the Trident
package. See PR 1644 <https://github.com/yt-project/yt/pull/1644>.
- Support new AMReX particle data files with 5 digit IDs. See PR 1653
<https://github.com/yt-project/yt/pull/1653>.
- Handle reloading pickle files with very early YTArray data. See PR 1656
<https://github.com/yt-project/yt/pull/1656>.
- Fix initializing species charge and mass fields in the AMReX frontend.
See PR 1658 <https://github.com/yt-project/yt/pull/1658>.
- Keep units for domain edges when saving ytdata datasets from a
FixedResolutionBuffer object. See PR 1659
<https://github.com/yt-project/yt/pull/1659>.
- Use the correct matplotlib keyword argument name when specifying
contour colors. See PR 1664 <https://github.com/yt-project/yt/pull/1664>.
- Support Enzo active particle fields that map to arrays. See PR 1665
<https://github.com/yt-project/yt/pull/1665>.
- Use a smarter algorithm for clipping particle positions to the domain
boundaries in the rockstar halo finder. See PR 1679
<https://github.com/yt-project/yt/pull/1679>.
- Make the annotate_clumps plot callback work correctly with reloaded
ytdata clump datasets. See PR 1683
<https://github.com/yt-project/yt/pull/1683>.
- Calculate velocity vector components without using the
velocity_magnitude field. This avoids inconsistencies when the
bulk_velocity field parameter is set to a nonzero value. See PR 1688
<https://github.com/yt-project/yt/pull/1688>.
- Avoid truncating Gadget particle IDs by casting from uint32 to float32.
See PR 1692 <https://github.com/yt-project/yt/pull/1692>.
1
0
Hi Guys,
Just wondering if anyone knows how to attach velocity magnitude arrows to
particles (e.g. star particles)? There are the annotate callbacks to place
particles on top of gas fields but can I then somehow also view the
particle velocity magnitudes.
Any tips much appreciated.
Cheers,
John
2
2
Hi all,
We will be participating in the NumFOCUS google summer of code org this
year. Interested students will be able to spend 10 weeks this summer
improving yt. We have three project ideas on our google summer of code
repository on GitHub along with detailed instructions on how to apply:
https://github.com/yt-project/gsoc-2018
https://github.com/yt-project/gsoc-2018#project-ideas
https://github.com/yt-project/gsoc-2018#applying
Applications are due March 27, 2018.
To apply for google summer of code you must be enrolled as an undergraduate
or graduate student at an accredited university. The stipend scales with
cost of living, but goes from ~$2400 (in e.g. India) to ~$6600 (in e.g. the
USA). During the course of the program, the student is expected to work
full time on their summer of code project as an independent contractor
funded by Google.
A successful applicant will make themselves visible to the yt developer
community and will reach out to us on our developer mailing list. We also
have a requirement that the applicant must submit and merge at least one
pull request before we approve your application. We strongly encourage
applicants to contact their prospective mentor to ask questions about their
application and iterate on drafts well before the deadline.
If you know anyone who might be interested in this opportunity, please
forward this e-mail to them. I'm happy to answer questions via e-mail.
Best,
Nathan Goldbaum
1
0
Hello yt-users,
I would like to install yt version 2.3 in order to run some old python scripts. I was not able to get yt older version. Could anyone direct me to the correct destination for 2.3 installation.
cheers,
Nirmit
2
1
Hello! Maybe I'm just missing this in the docs, but I'm having trouble
making a projection plot when the gadget snapshots are split into multiple
files (i.e. I have snapshot_000.0, snapshot_000.1, etc.). If I try to load
anything other than snapshot_000.* with yt.load, I get an error that the
file does not exist, but loading with snapshot_000.* creates a DataSeries
object. I'm just not sure how to combine all of these series elements into
a single plot, as it seems like the plot gets overwritten if I do: for ds
in ts: prj = yt.ProjectionPlot(ds,...). I thought about creating my prj
object with ts[0] outside the loop, but I couldn't figure out how to add
the rest series elements to this plot object. Thank you!
Sincerely,
-Jared
2
4
Dear Nathan:
Thanks that worked. Also could you let me know the difference between the
normal vector and north vector in offaxissliceplot. I had done it earlier
but seemed to have forgotten.
What choice of normal vector and north vector do I use if I want for
example an xz plot inclined at 60 degrees?
On Sun, Feb 4, 2018 at 11:00 AM, <yt-users-request(a)python.org> wrote:
> Send yt-users mailing list submissions to
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> than "Re: Contents of yt-users digest..."
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> Today's Topics:
>
> 1. Re: Error in streamline plotting (Nathan Goldbaum)
>
>
> ----------------------------------------------------------------------
>
> Date: Sat, 03 Feb 2018 20:51:42 -0000
> From: "Nathan Goldbaum" <nathan12343(a)gmail.com>
> Subject: [yt-users] Re: Error in streamline plotting
> To: yt-users(a)python.org
> Message-ID: <20180203205142.6944.23743(a)mail.python.org>
> Content-Type: text/plain; charset="utf-8"
>
> > Dear Nathan:
> >
> > Here is tracebin of the error in streamline plotting. Thanks in advance
> >
> >
> > yt : [WARNING ] 2018-02-03 14:39:03,549 Switching to symlog colorbar
> > scaling unless linear scaling is specified later
> > /cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/
> matplotlib/colors.py:1114:
> > RuntimeWarning: invalid value encountered in greater
> > masked = np.abs(a) > self.linthresh
> > /cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/
> matplotlib/colors.py:1126:
> > RuntimeWarning: invalid value encountered in greater
> > masked = np.abs(a) > (self.linthresh * self._linscale_adj)
> > /cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/
> yt/units/yt_array.py:985:
> > RuntimeWarning: invalid value encountered in divide
> > np.divide(self, oth, out=self)
> > Traceback (most recent call last):
> > File "yt_frb_offaxes.py", line 61, in <module>
> > plt.streamplot(X,Y,U,V,norm='True')
>
> Here's the line in your script that's triggering the error you're seeing.
>
> The issue is that you're passing data with units to matplotlib. Matplotlib
> doesn't know anything about yt's unit system, so you need to strip the
> units before passing to matplotlib.
>
> The following modification should fix things:
>
> plt.streamplot(np.array(X),np.array(Y),np.array(U),np.array(
> V),norm='True')
>
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/matplotlib/pyplot.py",
> > line 3542, in streamplot
> > data=data)
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/matplotlib/__init__.py",
> > line 1717, in inner
> > return func(ax, *args, **kwargs)
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/matplotlib/axes/_axes.py",
> > line 4624, in streamplot
> > integration_direction=integration_direction)
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/
> streamplot.py",
> > line 83, in streamplot
> > grid = Grid(x, y)
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/
> streamplot.py",
> > line 315, in __init__
> > if not np.allclose(x_row, x):
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/numpy/core/numeric.py",
> > line 2459, in allclose
> > res = all(isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan))
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/numpy/core/numeric.py",
> > line 2541, in isclose
> > return within_tol(x, y, atol, rtol)
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/numpy/core/numeric.py",
> > line 2524, in within_tol
> > result = less_equal(abs(x-y), atol + rtol * abs(y))
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/yt/units/yt_array.py",
> > line 912, in __radd__
> > lo = sanitize_units_add(self, left_object, "addition")
> > File
> > "/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-
> packages/yt/units/yt_array.py",
> > line 163, in sanitize_units_add
> > raise YTUnitOperationError(op_string, inp.units, dimensionless)
> > yt.utilities.exceptions.YTUnitOperationError: The addition operator for
> > YTArrays with units (km) and (1) is not well defined.
> >
> >
> > On Tue, Jan 30, 2018 at 10:57 AM, <yt-users-request(a)python.org>
> wrote:
>
> ------------------------------
>
> Subject: Digest Footer
>
> _______________________________________________
> yt-users mailing list -- yt-users(a)python.org
> To unsubscribe send an email to yt-users-leave(a)python.org
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>
> ------------------------------
>
> End of yt-users Digest, Vol 120, Issue 1
> ****************************************
>
--
*SK2*
*"**Claiming that something can move faster than light is a good
conversation-stopper in physics. People edge away from you in cocktail
parties; friends never return phone calls. You just don’t mess with Albert
Einstein.**"*
2
1
I'm trying to pull xray information from MUFASA simulations using the add_xray_emissivity function of YT. However I seem to only be able to pull total quantities of things such as xray luminosity for spherical regions defined in the simulation box. I was wondering if there was any functionality to YT that would allow me to pull this xray luminosity for each particle individually?
2
1
Dear Nathan:
Here is tracebin of the error in streamline plotting. Thanks in advance
yt : [WARNING ] 2018-02-03 14:39:03,549 Switching to symlog colorbar
scaling unless linear scaling is specified later
/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/colors.py:1114:
RuntimeWarning: invalid value encountered in greater
masked = np.abs(a) > self.linthresh
/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/colors.py:1126:
RuntimeWarning: invalid value encountered in greater
masked = np.abs(a) > (self.linthresh * self._linscale_adj)
/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/yt/units/yt_array.py:985:
RuntimeWarning: invalid value encountered in divide
np.divide(self, oth, out=self)
Traceback (most recent call last):
File "yt_frb_offaxes.py", line 61, in <module>
plt.streamplot(X,Y,U,V,norm='True')
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/pyplot.py",
line 3542, in streamplot
data=data)
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/__init__.py",
line 1717, in inner
return func(ax, *args, **kwargs)
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/axes/_axes.py",
line 4624, in streamplot
integration_direction=integration_direction)
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/streamplot.py",
line 83, in streamplot
grid = Grid(x, y)
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/matplotlib/streamplot.py",
line 315, in __init__
if not np.allclose(x_row, x):
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/numpy/core/numeric.py",
line 2459, in allclose
res = all(isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan))
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/numpy/core/numeric.py",
line 2541, in isclose
return within_tol(x, y, atol, rtol)
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/numpy/core/numeric.py",
line 2524, in within_tol
result = less_equal(abs(x-y), atol + rtol * abs(y))
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/yt/units/yt_array.py",
line 912, in __radd__
lo = sanitize_units_add(self, left_object, "addition")
File
"/cm/shared/apps/anaconda2/4.3.1/lib/python2.7/site-packages/yt/units/yt_array.py",
line 163, in sanitize_units_add
raise YTUnitOperationError(op_string, inp.units, dimensionless)
yt.utilities.exceptions.YTUnitOperationError: The addition operator for
YTArrays with units (km) and (1) is not well defined.
On Tue, Jan 30, 2018 at 10:57 AM, <yt-users-request(a)python.org> wrote:
> Send yt-users mailing list submissions to
> yt-users(a)python.org
>
> To subscribe or unsubscribe via the World Wide Web, visit
> https://mail.python.org/mm3/mailman3/lists/yt-users.python.org/
> or, via email, send a message with subject or body 'help' to
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>
> When replying, please edit your Subject line so it is more specific
> than "Re: Contents of yt-users digest..."
>
> Today's Topics:
>
> 1. Re: Derivatives on a 2D Dataset (Nathan Goldbaum)
> 2. Re: Error in streamline plotting (Nathan Goldbaum)
> 3. Re: Projection Plot Image Array (Julia Rakas)
>
>
> ----------------------------------------------------------------------
>
> Date: Tue, 30 Jan 2018 10:45:49 -0600
> From: Nathan Goldbaum <nathan12343(a)gmail.com>
> Subject: [yt-users] Re: Derivatives on a 2D Dataset
> To: Discussion of the yt analysis package <yt-users(a)python.org>
> Message-ID:
> <CAJXewOk-V8BE5uoMP7t7jGHV+bLVc6tdb=CKBWW3pPp7Qo++Jw@
> mail.gmail.com>
> Content-Type: multipart/alternative;
> boundary="089e082216e08e25a60564011961"
>
> --089e082216e08e25a60564011961
> Content-Type: text/plain; charset="UTF-8"
>
> I'm not sure exactly what's causing the error you're running into - it
> would help to see more frames of the stack trace. If I had to guess it's
> coming from somewhere in your grad function but the stack trace would let
> you know for sure.
>
> You also might be interested in yt's built-in support for adding gradient
> fields:
>
> http://yt-project.org/docs/dev/reference/api/yt.data_
> objects.static_output.html#yt.data_objects.static_output.
> Dataset.add_gradient_fields
> http://yt-project.org/docs/dev/analyzing/fields.html#gradient-fields
> http://yt-project.org/docs/dev/cookbook/calculating_
> information.html#cookbook-complicated-derived-fields
>
> Hope that helps,
>
> Nathan
>
> On Tue, Jan 30, 2018 at 10:03 AM, <llj16b(a)my.fsu.edu> wrote:
>
> > Good morning YT-users,
> >
> > I'm trying to take derivatives on a 2d dataset, below is what I do and
> the
> > error I get:
> > # - - - - - - A SIMPLE TEST TO TRY GETTING A 2D DERIVATIVE - - - - - - -
> > - - -
> > ...
> > ds_list = [yt.load('%s/DD%04d/data%04d'%(base_directory,n1,n1)) for n1
> in
> > frame_list]
> > ds = ds_list[0]
> > g = ds.index.grids[0]
> > ds.periodicity = (True, True, True)
> > ad = ds.all_data()
> >
> > # this is to access the grad operator and the added derived field which
> > are found further below:
> > map(xyz_derived_fields, ds_list)
> >
> > # the following line breaks down
> > print(ad['deriv_vx'])
> >
> > # - - - - - - - - - - - - ANOTHER .PY FILE - - - - - - - - - -
> > ...
> > def grad(data,fieldname,direction):
> > iM2 = slice(None,-2)
> > iP2 = slice(2,None)
> > all = slice(1,-1)
> > all_all=[all]*3
> >
> > dxi=1./(2*data.dds)
> >
> > out = np.zeros_like(data[fieldname])
> >
> > Right = [all]*3
> > Left = [all]*3
> > print(data.shape)
> > if data.shape[2] == 1:
> > all_all[2]=slice(None)
> > Right[2]=slice(None)
> > Left[2]=slice(None)
> >
> > Right[direction] = iP2
> > Left[direction] = iM2
> >
> > out[all_all] = (data[fieldname][Right] - data[fieldname][Left]) *
> > dxi[direction]
> > return out
> >
> > def xyz_derived_fields(target):
> > def deriv_vx(field,data):
> > return grad(data,'velocity_x',0)
> > MyValidators = [yt.ValidateSpatial(1,['velocity_x',
> > 'velocity_y','velocity_z'])]
> > target.add_field('deriv_vx', function=deriv_vx, units='cm/s',
> > validators=MyValidators)
> >
> > # this is the error: - - - - - - - - - - -
> > /home/luzlourdes/yt-conda/lib/python2.7/site-packages/yt/
> units/yt_array.py:1161:
> > VisibleDeprecationWarning: boolean index did not match indexed array
> along
> > dimension 2; dimension is 4 but corresponding boolean dimension is 1
> > ret = super(YTArray, self).__getitem__(item)
> > [ 0. 0. 0. ..., 0. 0. 0.] cm/s
> >
> > # - - - - - - - - - - - - - - - - - - - - -
> > May I use your knowledge and help on knowing what is happening and/or how
> > we could go about solving this?
> > Please let me know if I could provide you with anything further.
> >
> > Thank you,
> >
> > Luz Jimenez Vela
> > Graduate Student at FSU
> > _______________________________________________
> > yt-users mailing list -- yt-users(a)python.org
> > To unsubscribe send an email to yt-users-leave(a)python.org
> >
>
> --089e082216e08e25a60564011961
> Content-Type: text/html; charset="UTF-8"
> Content-Transfer-Encoding: quoted-printable
>
> <div dir=3D"ltr"><div><div><div>I'm not sure exactly what's
> causing=
> the error you're running into - it would help to see more frames of
> th=
> e stack trace. If I had to guess it's coming from somewhere in your
> gra=
> d function but the stack trace would let you know for
> sure.<br><br></div>Yo=
> u also might be interested in yt's built-in support for adding
> gradient=
> fields:<br><br><a href=3D"http://yt-project.org/
> docs/dev/reference/api/yt.=
> data_objects.static_output.html#yt.data_objects.static_
> output.Dataset.add_g=
> radient_fields">http://yt-project.org/docs/dev/
> reference/api/yt.data_object=
> s.static_output.html#yt.data_objects.static_output.Dataset.
> add_gradient_fie=
> lds</a><br><a href=3D"http://yt-project.org/docs/dev/analyzing/fields.
> html#=
> gradient-fields">http://yt-project.org/docs/dev/
> analyzing/fields.html#gradi=
> ent-fields</a><br><a href=3D"http://yt-project.org/
> docs/dev/cookbook/calcul=
> ating_information.html#cookbook-complicated-derived-fields">
> http://yt-proje=
> ct.org/docs/dev/cookbook/calculating_information.html#
> cookbook-complicated-=
> derived-fields</a><br><br></div>Hope that helps,<br><br></div>Nathan<br>
> </d=
> iv><div class=3D"gmail_extra"><br><div class=3D"gmail_quote">On Tue, Jan
> 30=
> , 2018 at 10:03 AM, <span dir=3D"ltr"><<a href=3D"mailto:
> llj16b(a)my.fsu.=
> edu" target=3D"_blank">llj16b(a)my.fsu.edu</a>></span>
> wrote:<br><blockquo=
> te class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc
> so=
> lid;padding-left:1ex">Good morning YT-users,<br>
> <br>
> I'm trying to take derivatives on a 2d dataset, below is what I do and
> =
> the error I get:<br>
> # - - - - - -=C2=A0 A SIMPLE TEST TO TRY GETTING A 2D DERIVATIVE - - - - -
> =
> - - - - -<br>
> ...<br>
> ds_list =3D [yt.load('%s/DD%04d/data%04d'%<wbr>(base_directory,
> n1,n=
> 1)) for n1 in frame_list]<br>
> ds =3D ds_list[0]<br>
> g =3D ds.index.grids[0]<br>
> ds.periodicity =3D (True, True, True)<br>
> ad =3D ds.all_data()<br>
> <br>
> # this is to access the grad operator and the added derived field which
> are=
> found further below:<br>
> map(xyz_derived_fields, ds_list)<br>
> <br>
> # the following line breaks down<br>
> print(ad['deriv_vx'])<br>
> <br>
> # - - - - - - - - - - - - ANOTHER .PY FILE - - - - - - - - - -<br>
> ...<br>
> def grad(data,fieldname,direction)<wbr>:<br>
> =C2=A0 =C2=A0 iM2 =3D slice(None,-2)<br>
> =C2=A0 =C2=A0 iP2 =3D slice(2,None)<br>
> =C2=A0 =C2=A0 all =3D slice(1,-1)<br>
> =C2=A0 =C2=A0 all_all=3D[all]*3<br>
> <br>
> =C2=A0 =C2=A0 dxi=3D1./(2*data.dds)<br>
> <br>
> =C2=A0 =C2=A0 out =3D np.zeros_like(data[fieldname])<br>
> <br>
> =C2=A0 =C2=A0 Right =3D [all]*3<br>
> =C2=A0 =C2=A0 Left =3D [all]*3<br>
> =C2=A0 =C2=A0 print(data.shape)<br>
> =C2=A0 =C2=A0 if data.shape[2] =3D=3D 1:<br>
> =C2=A0 =C2=A0 =C2=A0 =C2=A0 all_all[2]=3Dslice(None)<br>
> =C2=A0 =C2=A0 =C2=A0 =C2=A0 Right[2]=3Dslice(None)<br>
> =C2=A0 =C2=A0 =C2=A0 =C2=A0 Left[2]=3Dslice(None)<br>
> <br>
> =C2=A0 =C2=A0 Right[direction] =3D iP2<br>
> =C2=A0 =C2=A0 Left[direction] =3D iM2<br>
> <br>
> =C2=A0 =C2=A0 out[all_all] =3D (data[fieldname][Right] -
> data[fieldname][Le=
> ft]) * dxi[direction]<br>
> =C2=A0 =C2=A0 return out<br>
> <br>
> def xyz_derived_fields(target):<br>
> =C2=A0 =C2=A0 def deriv_vx(field,data):<br>
> =C2=A0 =C2=A0 =C2=A0 =C2=A0 return grad(data,'velocity_x',0)<br>
> =C2=A0 =C2=A0 MyValidators =3D [yt.ValidateSpatial(1,['<
> wbr>velocity_x&=
> #39;, 'velocity_y','velocity_z'])]<br>
> =C2=A0 =C2=A0 target.add_field('deriv_vx', function=3Dderiv_vx,
> uni=
> ts=3D'cm/s', validators=3DMyValidators)<br>
> <br>
> # this is the error: - - - - - - - - - - -<br>
> /home/luzlourdes/yt-conda/lib/<wbr>python2.7/site-packages/
> yt/<wbr>units/yt=
> _array.py:1161: VisibleDeprecationWarning: boolean index did not match
> inde=
> xed array along dimension 2; dimension is 4 but corresponding boolean
> dimen=
> sion is 1<br>
> =C2=A0 ret =3D super(YTArray, self).__getitem__(item)<br>
> [ 0.=C2=A0 0.=C2=A0 0. ...,=C2=A0 0.=C2=A0 0.=C2=A0 0.] cm/s<br>
> <br>
> # - - - - - - - - - - - - - - - - - - - - -<br>
> May I use your knowledge and help on knowing what is happening and/or how
> w=
> e could go about solving this?<br>
> Please let me know if I could provide you with anything further.<br>
> <br>
> Thank you,<br>
> <br>
> Luz Jimenez Vela<br>
> Graduate Student at FSU<br>
> ______________________________<wbr>_________________<br>
> yt-users mailing list -- <a href=3D"mailto:yt-users@python.org
> ">yt-users@py=
> thon.org</a><br>
> To unsubscribe send an email to <a href=3D"mailto:yt-users-leave@
> python.org=
> ">yt-users-leave(a)python.org</a><br>
> </blockquote></div><br></div>
>
> --089e082216e08e25a60564011961--
>
> ------------------------------
>
> Date: Tue, 30 Jan 2018 10:47:21 -0600
> From: Nathan Goldbaum <nathan12343(a)gmail.com>
> Subject: [yt-users] Re: Error in streamline plotting
> To: Discussion of the yt analysis package <yt-users(a)python.org>
> Message-ID:
> <CAJXewOmyPO+P4YL4MwvorN2CBdteRqfA2ueHb--
> mGTcnKJJxVg(a)mail.gmail.com>
> Content-Type: multipart/alternative;
> boundary="f403045c2a140828d50564011fc5"
>
> --f403045c2a140828d50564011fc5
> Content-Type: text/plain; charset="UTF-8"
>
> Can you pastebin the traceback you get along with the error message? The
> traceback will show you which line in your script is raising the error.
>
> On Mon, Jan 29, 2018 at 5:17 PM, Sushilkumar <sushil.sush19us(a)gmail.com>
> wrote:
>
> > Dear yt:
> >
> > I am getting the following error for the script (see below). Could you
> let
> > me know what is causing it? Thank you in advance
> >
> > Error:
> > yt.utilities.exceptions.YTUnitOperationError: The addition operator for
> > YTArrays with units (km) and (1) is not well defined.
> >
> > Script:
> > import yt
> > import numpy as np
> > import matplotlib.pylab as pl
> > import matplotlib.pyplot as plt
> > import matplotlib.colors as colors
> > from matplotlib.colors import LogNorm
> >
> > from yt.visualization.api import Streamlines
> > from yt.units import km
> > from mpl_toolkits.mplot3d import Axes3D
> >
> >
> > ms = 24000000
> > vector_max=ms-(ms/3)
> > ms1=ms-vector_max
> > dims = (200,200,200)
> >
> > x = np.genfromtxt("/work/jbi157/MODEL7/UPDATE_B/yo_n_t0.mtx",
> skip_header=2,usecols=1,
> > dtype="f8")
> > x = x.reshape((8000000, 3), order="F")
> >
> > field1 = x[:,2].reshape(dims, order="F")
> > field2 = x[:,1].reshape(dims, order="F")
> > field3 = x[:,0].reshape(dims, order="F")
> >
> > data = dict(cutting_plane_velocity_x = field1,
> > cutting_plane_velocity_y = field2,
> > cutting_plane_velocity_z = field3)
> >
> > bbox = np.array([[-100, 99], [-100, 99], [-100, 99]])
> >
> > pf = yt.load_uniform_grid(data, dims, km, bbox=bbox, nprocs=1)
> >
> > L = [0,1,0] # vector normal to cutting plane
> > north_vector = [0,1,1]
> >
> > slc = yt.OffAxisSlicePlot(pf, L, 'cutting_plane_velocity_x',
> > center=[0,0,0], width=(180,'km'), north_vector=north_vector)
> >
> > vel = slc._frb['cutting_plane_velocity_z']
> > U = slc._frb['cutting_plane_velocity_x']
> > V = slc._frb['cutting_plane_velocity_y']
> >
> > extentx = [slc.xlim[i].in_units('km') for i in (0, 1)]
> > extenty = [slc.ylim[i].in_units('km') for i in (0, 1)]
> > extent = extentx + extenty
> >
> > x = np.linspace(extentx[0], extentx[1], vel.shape[0])
> > y = np.linspace(extenty[1], extenty[0], vel.shape[1])
> >
> > X, Y = np.meshgrid(x, y)
> >
> > normalize = True
> > if normalize is True:
> > N = np.sqrt(U**2+V**2)
> > U /= N
> > V /= N
> >
> > norm = colors.Normalize(vmin=vel.min(), vmax=vel.max())
> > factor = 1
> > #plt.quiver(X[::factor, ::factor], Y[::factor, ::factor], U[::factor,
> > ::factor], V[::factor, ::factor])
> >
> > plt.streamplot(X,Y,U,V,norm='True')
> >
> > #plt.imshow(vel.d, extent=extent)
> > plt.colorbar()
> > plt.xlabel("x")
> > plt.axis([-100, 99, -100, 99])
> > plt.savefig('L(1,0,0) N(0,1,1)')
> > #slc.save()
> >
>
> --f403045c2a140828d50564011fc5
> Content-Type: text/html; charset="UTF-8"
> Content-Transfer-Encoding: quoted-printable
>
> <div dir=3D"ltr"><div>Can you pastebin the traceback you get along with
> the=
> error message? The traceback will show you which line in your script is
> ra=
> ising the error.<br></div><div class=3D"gmail_extra"><br><div
> class=3D"gmai=
> l_quote">On Mon, Jan 29, 2018 at 5:17 PM, Sushilkumar <span
> dir=3D"ltr"><=
> ;<a href=3D"mailto:sushil.sush19us@gmail.com"
> target=3D"_blank">sushil.sush=
> 19us(a)gmail.com</a>></span> wrote:<br><blockquote class=3D"gmail_quote"
> s=
> tyle=3D"margin:0 0 0 .8ex;border-left:1px #ccc
> solid;padding-left:1ex"><div=
> dir=3D"ltr"><div><div>Dear yt:<br><br></div>I am getting the following
> err=
> or for the script (see below). Could you let me know what is causing=C2=A0
> =
> it? Thank you in advance<br><br></div>Error:<br>yt.utilities.exceptions.<
> wb=
> r>YTUnitOperationError: The addition operator for YTArrays with units (km)
> =
> and (1) is not well defined.<br><div><br></div>Script:<br>import
> yt<br>impo=
> rt numpy as np<br>import matplotlib.pylab as pl<br>import
> matplotlib.pyplot=
> as plt<br>import matplotlib.colors as colors<br>from matplotlib.colors
> imp=
> ort LogNorm<br><br>from yt.visualization.api import Streamlines<br>from
> yt.=
> units import km<br>from mpl_toolkits.mplot3d import Axes3D<br><br><br>ms =
> =3D 24000000<br>vector_max=3Dms-(ms/3)<br>ms1=3Dms-vector_max<br>dims =3D
> (=
> 200,200,200)<br><br>x =3D np.genfromtxt("/work/
> jbi157/<wbr>MODEL7/UPDA=
> TE_B/yo_n_t0.mtx",<wbr>skip_header=3D2,usecols=3D1,
> dtype=3D"f8&q=
> uot;)<br>x =3D x.reshape((8000000, 3), order=3D"F")<br><br>
> field1=
> =3D x[:,2].reshape(dims, order=3D"F")<br>field2 =3D
> x[:,1].resha=
> pe(dims, order=3D"F")<br>field3 =3D x[:,0].reshape(dims,
> order=3D=
> "F")<br><br>data =3D dict(cutting_plane_velocity_x =3D
> field1,<br=
> >=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0
> cutting=
> _plane_velocity_y =3D field2,<br>=C2=A0=C2=A0=C2=A0=
> C2=A0=C2=A0=C2=A0=C2=A0=
> =C2=A0=C2=A0=C2=A0=C2=A0 cutting_plane_velocity_z =3D field3)<br><br>bbox =
> =3D np.array([[-100, 99], [-100, 99], [-100, 99]])<br><br>pf =3D
> yt.load_un=
> iform_grid(data, dims, km, bbox=3Dbbox, nprocs=3D1)<br><br>L =3D [0,1,0] #
> =
> vector normal to cutting plane<br>north_vector =3D [0,1,1]<br><br>slc =3D
> y=
> t.OffAxisSlicePlot(pf, L, 'cutting_plane_velocity_x',
> center=3D[0,0=
> ,0], width=3D(180,'km'), north_vector=3Dnorth_vector)<br><br>vel =
> =3D slc._frb['cutting_plane_<wbr>velocity_z']<br>U =3D
> slc._frb[=
> 9;cutting_plane_<wbr>velocity_x']<br>V =3D
> slc._frb['cutting_plane_=
> <wbr>velocity_y']<br><br>extentx =3D [slc.xlim[i].in_units('km&
> #39;=
> ) for i in (0, 1)]<br>extenty =3D [slc.ylim[i].in_units('km') for
> i=
> in (0, 1)]<br>extent =3D extentx + extenty<br><br>x =3D
> np.linspace(extent=
> x[0], extentx[1], vel.shape[0])<br>y =3D np.linspace(extenty[1],
> extenty[0]=
> , vel.shape[1])<br><br>X, Y =3D np.meshgrid(x, y)<br><br>normalize =3D
> True=
> <br>if normalize is True:<br>=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 N
> =
> =3D np.sqrt(U**2+V**2)<br>=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 U
> /=3D=
> N<br>=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 V /=3D N<br><br>norm =3D
> c=
> olors.Normalize(vmin=3Dvel.min(<wbr>), vmax=3Dvel.max())<br>factor =3D
> 1<br=
> >#plt.quiver(X[::factor, ::factor], Y[::factor, ::factor], U[::factor,
> ::fa=
> ctor], V[::factor, ::factor])<br><br>plt.streamplot(X,Y,U,V,norm=3D&#
> 39;<wb=
> r>True')<br><br>#plt.imshow(vel.d, extent=3Dextent)<br>plt.
> colorbar()<b=
> r>plt.xlabel("x")<br>plt.axis([-100, 99, -100,
> 99])<br>plt.savefi=
> g('L(1,0,0) N(0,1,1)')<br>#slc.save()<
> br></div></blockquote></div><=
> /div></div>
>
> --f403045c2a140828d50564011fc5--
>
> ------------------------------
>
> Date: Tue, 30 Jan 2018 11:50:30 -0500
> From: Julia Rakas <jrakas(a)umich.edu>
> Subject: [yt-users] Re: Projection Plot Image Array
> To: Discussion of the yt analysis package <yt-users(a)python.org>
> Message-ID: <C4E230FB-4903-4150-A949-3C15C4EE6944(a)umich.edu>
> Content-Type: multipart/alternative;
> boundary="Apple-Mail=_049CE903-17B0-49DF-AB92-DFA4CDCB8C85"
>
>
> --Apple-Mail=_049CE903-17B0-49DF-AB92-DFA4CDCB8C85
> Content-Transfer-Encoding: quoted-printable
> Content-Type: text/plain;
> charset=utf-8
>
> Hello,
>
> So I did as you suggested and cast my image array to a normal python =
> array, but for some reason when I try to do an imshow, it doesn=E2=80=99t =
> seem to recognize any of the values because I get this:
>
>
>
> This is the frb that I made
>
>
>
> Do you know why this might be?
>
> Thanks,
> Julie
>
> > On Jan 22, 2018, at 11:49 AM, Nathan Goldbaum <nathan12343(a)gmail.com> =
> wrote:
> >=20
> >=20
> >=20
> > On Mon, Jan 22, 2018 at 12:07 AM, Julia Rakas <jrakas(a)umich.edu =
> <mailto:jrakas@umich.edu>> wrote:
> > Hi,
> >=20
> > So I did what was suggested and made a fixed resolution buffer and got =
> this:
> >=20
> >=20
> >=20
> > What do the dots mean?
> >=20
> > That's how big arrays (bigger than can fit on your display) are =
> printed by NumPy. The default plot resolution is 800x800 so that's way =
> bigger than can fit on your screen.
> > =20
> > And I guess the main thing is that I want to be able to modify the =
> array and be able to, for example, multiply the values by a conversion =
> factor, normalize some values if they are below a threshold etc using =
> matplotlib and I=E2=80=99m not quite sure how to interpret the results =
> in order to do so. Any help would be greatly appreciated.
> >=20
> > The image array you get back acts just like a normal numpy array. You =
> can multiply by conversion factors and do boolean logic just like any =
> other array. I'd use matplotlib's imshow command to display the image. =
> One wrinkle though, matplotlib will raise errors when you pass a yt =
> ImageArray to the imshow command. This is fixed on some versions of =
> matplotlib, although I just tested the latest version and it seems to =
> have hapenned again. The fix is just to cast the ImageArray to a numpy =
> ndarray:
> >=20
> > import numpy as np
> > =20
> > p =3D ProjectionPlot(...)
> > image =3D p.frb[field]
> >=20
> > ndarray_image =3D np.array(image)
> >=20
> >=20
> > Here's a worked example:
> >=20
> > https://gist.github.com/b6a4393a0ea1ca2630a1dfd43d087ec4 =
> <https://gist.github.com/b6a4393a0ea1ca2630a1dfd43d087ec4>
> > =20
> >=20
> > Thanks so much!
> > Julie
> >=20
> >> On Jan 21, 2018, at 12:04 PM, Nathan Goldbaum <nathan12343(a)gmail.com =
> <mailto:nathan12343@gmail.com>> wrote:
> >>=20
> >> Your image contains the "density" field with a width of 10 in code =
> units along each axis. So each row corresponds to the density value =
> sampled over a 1x1 (in code units) region of your simulation, since you =
> specified that you wanted a 10x10 image.
> >>=20
> >> You might find the OffAxisProjectionPlot object to be a bit nicer to =
> work with to make plots:
> >>=20
> >> =
> http://yt-project.org/doc/visualizing/plots.html#off-
> axis-projection-plots=
> =
> <http://yt-project.org/doc/visualizing/plots.html#off-
> axis-projection-plot=
> s>
> >> =
> http://yt-project.org/doc/reference/api/yt.visualization.plot_window.
> html#=
> yt.visualization.plot_window.OffAxisProjectionPlot =
> <http://yt-project.org/doc/reference/api/yt.visualization.plot_window.
> html=
> #yt.visualization.plot_window.OffAxisProjectionPlot>
> >>=20
> >> OffAxisProjectionPlot presents the same interface as ProjectionPlot =
> and will make a plot with axes and labels that should hopefully be =
> easier to understand than the raw image you are dealing with now.
> >>=20
> >>=20
> >> On Sun, Jan 21, 2018 at 10:42 AM, Julia Rakas <jrakas(a)umich.edu =
> <mailto:jrakas@umich.edu>> wrote:
> >> Thank you! And I was wondering how exactly the output array =
> corresponds to the image?=20
> >>=20
> >> <Screenshot 2018-01-12 19.38.46.png>
> >>=20
> >>=20
> >> For example, in the above ImageArray, what do the rows/colums mean?
> >>=20
> >> Thanks again,
> >> Julie
> >>=20
> >>> On Jan 21, 2018, at 8:45 AM, Nathan Goldbaum <nathan12343(a)gmail.com =
> <mailto:nathan12343@gmail.com>> wrote:
> >>>=20
> >>> Hi Julia,
> >>>=20
> >>> If I create a ProjectionPlot like so:
> >>>=20
> >>> p =3D ProjectionPlot(ds, 'z', ('gas', 'density'))
> >>>=20
> >>> Then I can access the image array you are looking for like this:
> >>>=20
> >>> image =3D p.frb['gas', 'density']
> >>>=20
> >>> This is using the FixedResolutionBuffer object that is associated =
> with the ProjectionPlot. You also don't need to create a ProjectionPlot =
> to do this, you can instead manually create a FixedResolutionBuffer =
> object. See the following doc pages:
> >>>=20
> >>> =
> http://yt-project.org/doc/visualizing/manual_plotting.
> html#fixed-resolutio=
> n-buffers =
> <http://yt-project.org/doc/visualizing/manual_plotting.
> html#fixed-resoluti=
> on-buffers>
> >>> =
> http://yt-project.org/doc/analyzing/generating_
> processed_data.html?highlig=
> ht=3Dfixedresolutionbuffer#d-image-arrays =
> <http://yt-project.org/doc/analyzing/generating_
> processed_data.html?highli=
> ght=3Dfixedresolutionbuffer#d-image-arrays>
> >>> =
> http://yt-project.org/doc/reference/api/yt.visualization.fixed_
> resolution.=
> html#yt.visualization.fixed_resolution.FixedResolutionBuffer =
> <http://yt-project.org/doc/reference/api/yt.visualization.fixed_
> resolution=
> .html#yt.visualization.fixed_resolution.FixedResolutionBuffer>
> >>>=20
> >>> Hope that helps,
> >>>=20
> >>> Nathan
> >>>=20
> >>> On Sun, Jan 21, 2018 at 12:47 AM Julia Rakas <jrakas(a)umich.edu =
> <mailto:jrakas@umich.edu>> wrote:
> >>> Hello,
> >>>=20
> >>> When I do yt.off_axis_projection(=E2=80=A6) I get an array as an =
> output. My question is how I can get an output array for regular =
> projection plots? And does the output array correspond to the actual =
> image that it otherwise would have plotted?
> >>>=20
> >>> Thanks,
> >>> Julie
> >>> _______________________________________________
> >>> yt-users mailing list -- yt-users(a)python.org =
> <mailto:yt-users@python.org>
> >>> To unsubscribe send an email to yt-users-leave(a)python.org =
> <mailto:yt-users-leave@python.org>
> >>> _______________________________________________
> >>> yt-users mailing list -- yt-users(a)python.org =
> <mailto:yt-users@python.org>
> >>> To unsubscribe send an email to yt-users-leave(a)python.org =
> <mailto:yt-users-leave@python.org>
> >>=20
> >>=20
> >> _______________________________________________
> >> yt-users mailing list -- yt-users(a)python.org =
> <mailto:yt-users@python.org>
> >> To unsubscribe send an email to yt-users-leave(a)python.org =
> <mailto:yt-users-leave@python.org>
> >>=20
> >>=20
> >> _______________________________________________
> >> yt-users mailing list -- yt-users(a)python.org =
> <mailto:yt-users@python.org>
> >> To unsubscribe send an email to yt-users-leave(a)python.org =
> <mailto:yt-users-leave@python.org>
> >=20
> >=20
> > _______________________________________________
> > yt-users mailing list -- yt-users(a)python.org =
> <mailto:yt-users@python.org>
> > To unsubscribe send an email to yt-users-leave(a)python.org =
> <mailto:yt-users-leave@python.org>
> >=20
> >=20
> > _______________________________________________
> > yt-users mailing list -- yt-users(a)python.org =
> <mailto:yt-users@python.org>
> > To unsubscribe send an email to yt-users-leave(a)python.org =
> <mailto:yt-users-leave@python.org>
>
> --Apple-Mail=_049CE903-17B0-49DF-AB92-DFA4CDCB8C85
> Content-Type: multipart/related;
> type="text/html";
> boundary="Apple-Mail=_7656CE3C-B772-49F5-A2B6-FE503BAEC821"
>
>
> --Apple-Mail=_7656CE3C-B772-49F5-A2B6-FE503BAEC821
> Content-Transfer-Encoding: quoted-printable
> Content-Type: text/html;
> charset=utf-8
>
> <html><head><meta http-equiv=3D"Content-Type" content=3D"text/html; =
> charset=3Dutf-8"></head><body style=3D"word-wrap: break-word; =
> -webkit-nbsp-mode: space; line-break: after-white-space;" =
> class=3D"">Hello,<div class=3D""><br class=3D""></div><div class=3D"">So =
> I did as you suggested and cast my image array to a normal python array, =
> but for some reason when I try to do an imshow, it doesn=E2=80=99t seem =
> to recognize any of the values because I get this:</div><div =
> class=3D""><br class=3D""></div><div class=3D""><img apple-inline=3D"yes" =
> id=3D"D586DD5D-4F95-4C9B-9AE7-5FE8D9AC26CB" width=3D"598" height=3D"339" =
> src=3D"cid:02CE3D38-859F-4FA7-9313-6FA0005ACE22@adsroot.itcs.umich.edu" =
> class=3D""></div><div class=3D""><br class=3D""></div><div class=3D"">This=
> is the frb that I made</div><div class=3D""><br class=3D""></div><div =
> class=3D""><img apple-inline=3D"yes" =
> id=3D"DFA36A2C-6115-4702-8747-BE862DF81AAD" width=3D"886" height=3D"366" =
> src=3D"cid:E730EBBE-5FA9-4BFE-8A23-0A8E2342DF3E@adsroot.itcs.umich.edu" =
> class=3D""><br class=3D""><div><br class=3D""></div><div>Do you know why =
> this might be?</div><div><br =
> class=3D""></div><div>Thanks,</div><div>Julie</div><div><br =
> class=3D""><blockquote type=3D"cite" class=3D""><div class=3D"">On Jan =
> 22, 2018, at 11:49 AM, Nathan Goldbaum <<a =
> href=3D"mailto:nathan12343@gmail.com" =
> class=3D"">nathan12343(a)gmail.com</a>> wrote:</div><br =
> class=3D"Apple-interchange-newline"><div class=3D""><div dir=3D"ltr" =
> style=3D"font-family: Helvetica; font-size: 12px; font-style: normal; =
> font-variant-caps: normal; font-weight: normal; letter-spacing: normal; =
> text-align: start; text-indent: 0px; text-transform: none; white-space: =
> normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;" =
> class=3D""><div class=3D"gmail_extra"><br =
> class=3D"Apple-interchange-newline"><br class=3D""><div =
> class=3D"gmail_quote">On Mon, Jan 22, 2018 at 12:07 AM, Julia Rakas<span =
> class=3D"Apple-converted-space"> </span><span dir=3D"ltr" =
> class=3D""><<a href=3D"mailto:jrakas@umich.edu" target=3D"_blank" =
> class=3D"">jrakas(a)umich.edu</a>></span><span =
> class=3D"Apple-converted-space"> </span>wrote:<br =
> class=3D""><blockquote class=3D"gmail_quote" style=3D"margin: 0px 0px =
> 0px 0.8ex; border-left-width: 1px; border-left-style: solid; =
> border-left-color: rgb(204, 204, 204); padding-left: 1ex;"><div =
> style=3D"overflow-wrap: break-word;" class=3D"">Hi,<div class=3D""><br =
> class=3D""></div><div class=3D"">So I did what was suggested and made a =
> fixed resolution buffer and got this:</div><div class=3D""><br =
> class=3D""></div><div class=3D""><br class=3D""><div class=3D""><br =
> class=3D""></div><div class=3D"">What do the dots =
> mean?</div></div></div></blockquote><div class=3D""><br =
> class=3D""></div><div class=3D"">That's how big arrays (bigger than can =
> fit on your display) are printed by NumPy. The default plot resolution =
> is 800x800 so that's way bigger than can fit on your screen.<br =
> class=3D""></div><div class=3D""> </div><blockquote =
> class=3D"gmail_quote" style=3D"margin: 0px 0px 0px 0.8ex; =
> border-left-width: 1px; border-left-style: solid; border-left-color: =
> rgb(204, 204, 204); padding-left: 1ex;"><div style=3D"overflow-wrap: =
> break-word;" class=3D""><div class=3D""><div class=3D"">And I guess the =
> main thing is that I want to be able to modify the array and be able to, =
> for example, multiply the values by a conversion factor, normalize some =
> values if they are below a threshold etc using matplotlib and I=E2=80=99m =
> not quite sure how to interpret the results in order to do so. Any help =
> would be greatly appreciated.</div></div></div></blockquote><div =
> class=3D""><br class=3D""></div><div class=3D"">The image array you get =
> back acts just like a normal numpy array. You can multiply by conversion =
> factors and do boolean logic just like any other array. I'd use =
> matplotlib's imshow command to display the image. One wrinkle though, =
> matplotlib will raise errors when you pass a yt ImageArray to the imshow =
> command. This is fixed on some versions of matplotlib, although I just =
> tested the latest version and it seems to have hapenned again. The fix =
> is just to cast the ImageArray to a numpy ndarray:<br class=3D""><br =
> class=3D""></div><div class=3D""> import numpy as =
> np<br class=3D""></div><div class=3D""> <span =
> class=3D"Apple-converted-space"> </span><br class=3D""></div><div =
> class=3D""> p =3D ProjectionPlot(...)<br =
> class=3D""></div><div class=3D""> image =3D =
> p.frb[field]<br class=3D""><br class=3D""></div><div =
> class=3D""> ndarray_image =3D np.array(image)<br =
> class=3D""></div><div class=3D""><br class=3D""></div><div class=3D""><br =
> class=3D""></div><div class=3D"">Here's a worked example:<br =
> class=3D""><br class=3D""><a =
> href=3D"https://gist.github.com/b6a4393a0ea1ca2630a1dfd43d087ec4" =
> class=3D"">https://gist.github.com/b6a4393a0ea1ca2630a1dfd43d087ec4
> </a><br=
> class=3D""></div><div class=3D""> </div><blockquote =
> class=3D"gmail_quote" style=3D"margin: 0px 0px 0px 0.8ex; =
> border-left-width: 1px; border-left-style: solid; border-left-color: =
> rgb(204, 204, 204); padding-left: 1ex;"><div style=3D"overflow-wrap: =
> break-word;" class=3D""><div class=3D""><div class=3D""><br =
> class=3D""></div><div class=3D"">Thanks so much!</div><div =
> class=3D"">Julie</div><div class=3D""><br class=3D""><blockquote =
> type=3D"cite" class=3D""><span class=3D"gmail-"><div class=3D"">On Jan =
> 21, 2018, at 12:04 PM, Nathan Goldbaum <<a =
> href=3D"mailto:nathan12343@gmail.com" target=3D"_blank" =
> class=3D"">nathan12343(a)gmail.com</a>> wrote:</div><br =
> class=3D"gmail-m_3807456752928867182Apple-interchange-newline"></span><
> div=
> class=3D""><span class=3D"gmail-"><div dir=3D"ltr" class=3D""><div =
> class=3D""><div class=3D"">Your image contains the "density" field with =
> a width of 10 in code units along each axis. So each row corresponds to =
> the density value sampled over a 1x1 (in code units) region of your =
> simulation, since you specified that you wanted a 10x10 image.<br =
> class=3D""><br class=3D""></div>You might find the OffAxisProjectionPlot =
> object to be a bit nicer to work with to make plots:<br class=3D""><br =
> class=3D""><a =
> href=3D"http://yt-project.org/doc/visualizing/plots.html#
> off-axis-projecti=
> on-plots" target=3D"_blank" class=3D"">http://yt-project.org/doc/<wbr =
> class=3D"">visualizing/plots.html#off-<wbr =
> class=3D"">axis-projection-plots</a><br class=3D""><a =
> href=3D"http://yt-project.org/doc/reference/api/yt.
> visualization.plot_wind=
> ow.html#yt.visualization.plot_window.OffAxisProjectionPlot" =
> target=3D"_blank" class=3D"">http://yt-project.org/doc/<wbr =
> class=3D"">reference/api/yt.<wbr class=3D"">visualization.plot_
> window.<wbr=
> class=3D"">html#yt.visualization.plot_<wbr =
> class=3D"">window.OffAxisProjectionPlot</a><br class=3D""><br =
> class=3D""></div>OffAxisProjectionPlot presents the same interface as =
> ProjectionPlot and will make a plot with axes and labels that should =
> hopefully be easier to understand than the raw image you are dealing =
> with now.<br class=3D""><div class=3D""><br =
> class=3D""></div></div></span><div class=3D"gmail_extra"><br =
> class=3D""><div class=3D"gmail_quote"><span class=3D"gmail-">On Sun, Jan =
> 21, 2018 at 10:42 AM, Julia Rakas<span =
> class=3D"Apple-converted-space"> </span><span dir=3D"ltr" =
> class=3D""><<a href=3D"mailto:jrakas@umich.edu" target=3D"_blank" =
> class=3D"">jrakas(a)umich.edu</a>></span><span =
> class=3D"Apple-converted-space"> </span>wrote:<br =
> class=3D""></span><blockquote class=3D"gmail_quote" style=3D"margin: 0px =
> 0px 0px 0.8ex; border-left-width: 1px; border-left-style: solid; =
> border-left-color: rgb(204, 204, 204); padding-left: 1ex;"><div =
> style=3D"overflow-wrap: break-word;" class=3D""><span =
> class=3D"gmail-">Thank you! And I was wondering how exactly the output =
> array corresponds to the image? <div class=3D""><br =
> class=3D""></div></span><div class=3D""><span =
> id=3D"gmail-m_3807456752928867182cid:1A9410AA-5370-4F62-8CC4-ED8F8623A32D@
> =
> adsroot.itcs.umich.edu" class=3D""><Screenshot 2018-01-12 =
> 19.38.46.png></span><div class=3D""><div class=3D"gmail-h5"><br =
> class=3D""><div class=3D""><br class=3D""></div><div class=3D"">For =
> example, in the above ImageArray, what do the rows/colums =
> mean?</div><div class=3D""><br class=3D""></div><div class=3D"">Thanks =
> again,</div><div class=3D"">Julie</div><div class=3D""><div =
> class=3D"gmail-m_3807456752928867182h5"><div class=3D""><br =
> class=3D""><blockquote type=3D"cite" class=3D""><div class=3D"">On Jan =
> 21, 2018, at 8:45 AM, Nathan Goldbaum <<a =
> href=3D"mailto:nathan12343@gmail.com" target=3D"_blank" =
> class=3D"">nathan12343(a)gmail.com</a>> wrote:</div><br =
> class=3D"gmail-m_3807456752928867182m_7774216733366765601Apple-
> interchange=
> -newline"><div class=3D""><div dir=3D"ltr" class=3D""><div class=3D""><div=
> dir=3D"auto" class=3D"">Hi Julia,</div><div dir=3D"auto" class=3D""><br =
> class=3D""></div><div dir=3D"auto" class=3D"">If I create a =
> ProjectionPlot like so:</div><div dir=3D"auto" class=3D""><br =
> class=3D""></div><div dir=3D"auto" class=3D""> <span =
> class=3D"Apple-converted-space"> </span>p =3D ProjectionPlot(ds, =
> 'z', ('gas', 'density'))</div><div dir=3D"auto" class=3D""><br =
> class=3D""></div><div class=3D"">Then I can access the image array you =
> are looking for like this:</div><div class=3D""><br class=3D""></div><div =
> class=3D""> <span =
> class=3D"Apple-converted-space"> </span>image =3D p.frb['gas', =
> 'density']</div><div class=3D""><br class=3D""></div><div class=3D"">This =
> is using the FixedResolutionBuffer object that is associated with the =
> ProjectionPlot. You also don't need to create a ProjectionPlot to do =
> this, you can instead manually create a FixedResolutionBuffer object. =
> See the following doc pages:<br class=3D""></div><div class=3D""><br =
> class=3D""></div><div class=3D""><a =
> href=3D"http://yt-project.org/doc/visualizing/manual_
> plotting.html#fixed-r=
> esolution-buffers" target=3D"_blank" =
> class=3D"">http://yt-project.org/doc/visu<wbr =
> class=3D"">alizing/manual_plotting.html#<wbr =
> class=3D"">fixed-resolution-buffers</a></div><div class=3D""><a =
> href=3D"http://yt-project.org/doc/analyzing/generating_
> processed_data.html=
> ?highlight=3Dfixedresolutionbuffer#d-image-arrays" target=3D"_blank" =
> class=3D"">http://yt-project.org/doc/anal<wbr =
> class=3D"">yzing/generating_processed_<wbr =
> class=3D"">data.html?highlight=3Dfixedresol<wbr =
> class=3D"">utionbuffer#d-image-arrays</a></div><div class=3D""><a =
> href=3D"http://yt-project.org/doc/reference/api/yt.
> visualization.fixed_res=
> olution.html#yt.visualization.fixed_resolution.FixedResolutionBuffer" =
> target=3D"_blank" class=3D"">http://yt-project.org/doc/refe<wbr =
> class=3D"">rence/api/yt.visualization.<wbr =
> class=3D"">fixed_resolution.html#yt.visua<wbr =
> class=3D"">lization.fixed_resolution.Fixe<wbr =
> class=3D"">dResolutionBuffer</a></div><div class=3D""><br =
> class=3D""></div><div class=3D"">Hope that helps,</div><div class=3D""><br=
> class=3D""></div><div class=3D"">Nathan<br class=3D""></div><br =
> class=3D""><div class=3D"gmail_quote"><div class=3D"">On Sun, Jan 21, =
> 2018 at 12:47 AM Julia Rakas <<a href=3D"mailto:jrakas@umich.edu" =
> target=3D"_blank" class=3D"">jrakas(a)umich.edu</a>> wrote:<br =
> class=3D""></div><blockquote class=3D"gmail_quote" style=3D"margin: 0px =
> 0px 0px 0.8ex; border-left-width: 1px; border-left-style: solid; =
> border-left-color: rgb(204, 204, 204); padding-left: 1ex;">Hello,<br =
> class=3D""><br class=3D"">When I do yt.off_axis_projection(=E2=80=A6) I =
> get an array as an output. My question is how I can get an output array =
> for regular projection plots? And does the output array correspond to =
> the actual image that it otherwise would have plotted?<br class=3D""><br =
> class=3D"">Thanks,<br class=3D"">Julie<br =
> class=3D"">______________________________<wbr =
> class=3D"">_________________<br class=3D"">yt-users mailing list --<span =
> class=3D"Apple-converted-space"> </span><a =
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> class=3D""></blockquote></div></div></div>__________________
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> class=3D"gmail-h5"><br class=3D"">______________________________<wbr =
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> class=3D""><span style=3D"font-family: Helvetica; font-size: 12px; =
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>
> --Apple-Mail=_7656CE3C-B772-49F5-A2B6-FE503BAEC821
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> Content-Id: <02CE3D38-859F-4FA7-9313-6FA0005ACE22(a)adsroot.itcs.umich.edu>
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> G57mZdjw7KlxYtg/3U5gerxkUkZ25ZYcPXhWFgq9MTQyI4
> m3TxWedd+Djf5p4pkXMx9nNvZHNsro
> jLFqw7P7+nL7IrbkafzdZx6HjfFuXEbH/H1k7tm+PkfJCCCAAAIIIIAAAggggAACCLQmQG
> JIa258
> qhsE9MSQiEoMmdq+xJBu4CJGBBBAAAEEEEAAATOBh7del8
> Nn3ykUEpLp5XtyZrD5NEWzKPg0Aggg
> gAACCCCAAAIIIIAAAggggAACCCBQLkBiSLkHz3pJQE8MCY3K4h9fkW9lN0T2
> DsjAbk7Q91JTUxcE
> EEAAAQQQQGD7BTbl5ivflXPXC/OFDE9L5r0zLcxetf01IQIEEEAAAQQQ
> QAABBBBAAAEEEEAAAQQQ
> 6C0BEkN6qz2pjS6wfk/O7j0mt/R17vI231amMhyeI4AAAggggAACCPSC
> wKbcuvJdOft+PjFkMpmR
> Fw6RjNwLLUsdEEAAAQQQQAABBBBAAAEEEEAAAQQQ6HYBEkO6vQWJv7ZA9r5c
> 6XtG3q98R2Rc3Vbm
> vOypXM9zBBBAAAEEEEAAAQQMBR49uCcPvv62HA8NGpbExxFAAAEEEEAAAQQQ
> QAABBBBAAAEEEEAA
> ATsCJIbYcaSUjhXIyuZmtiy6Xbt3M6V3mQhPEEAAAQQQQAABBBBAAAEEEEAA
> AQQQQAABBBBAAAEE
> EEAAAQR6VYDEkF5tWeqFAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA
> AAIIIIAAAjtegMSQ
> Hd8FAEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBXhUg
> MaRXW5Z6IYAAAggg
> gAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggMCOFyAxZMd3AQAQQAAB
> BBBAAAEEEEAAAQQQ
> QAABBBBAAAEEEEAAAQQQQAABBBBAoFcFSAzp1ZalXggggAACCCCAAAIIIIAA
> AggggAACCCCAAAII
> IIAAAggggAACCCCw4wVIDNnxXQAABBBAAAEEEEAAAQQQQAABBBBAAAEEEEAA
> AQQQQAABBBBAAAEE
> EOhVARJDerVlqRcCCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA
> AAII7HgBEkN2fBcA
> AAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQR6VYDEkF5t
> WeqFAAIIIIAAAggg
> gAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAjtegMSQHd8FANgSgey6PEx+
> KRl3Y339cvDQoOze
> kg1XbMRCHOsrD+XLjVxNpH/fQRkcaL4mNsqoqFnTTzfX1ySVSstGJ
> qOaZJ8MDg7IrmZLseCZ3+Sm
> rD1KS9/AftnTdBBe0OuPVuQr6Zd9AwOy26Acr0SWEEAAAQQQQAABBBBAAAEEEEAAAQQ
> QQAABBBBA
> AAEEEECg2wVIDOn2FiT+jhdY+fyanHnukizokYaGZOZfxuTUk80nVej
> FNLNsHEf2odz43m/Khet3
> yjY7FJuR2OVTwRJdWi1jfUHeeul35N+WbdnvyVcif/Mfyo33XpQBv5fVugeffyLvvvlP5Pqd
> shYR
> CUVl8saYvHB0sMYny1ebeq4/eih/tvCFzP7r78vH71zP9Y9wbF4+
> u3y0fENBnz26LUcOnC71s/HF
> tJx/ek/QT/M+BBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDoUQESQ3q0YalWZwis
> 3H5X
> Dp6+WiOYkEwlv5DIofYnh5jHsSLvnjwoV+/4VyU0Mi1fvH2mQXJI62Ws3/
> tA9h571X/jVWvDMpf+
> TI5X5USsyc0rvybn3q9ICKn4/NBEQj58MVSxtvypmeea3Hjl11SCTXU
> cEZUYMtVSYsim3HylX85d
> V/ktKlS35Nh8Si4frZUe49Vn5fMbcvWfzsjj3368sPJr+frrn5cLY2/
> KqcH2900vEpYQQAABBBBA
> AAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKAdAiSGtEOVMhFwBdQMDifVDA53
> ChpD8Rn5x5HD8ie/
> +1vy0jvFtSOSdN6WQ4X3tOXBQhyfv3VSnnuzEHNoWGb+8Ioc/umfyG+
> deKlUv+GppLwXqV0TkzLW
> F67J3iOXcjzh6JD8p8UchhLYX8v167fyz8IxSX12uWrGkPUFlVxyxEsuiYyM
> y//wX52Sbz/xtdz5
> 3auqTQqfV6VMLm3IC7VmczH13FyQs/1HxNtaqRLSamLImkqc2VeROBM0MeTB
> zSvy1Ln3vSAKS0E/
> X/VBViCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQEcJkBjSUc1BML
> 0kcO+Ds3Ls1fzl
> /0hsTs0EcbxQvXW58fJeufBx/unozLK8cSrY7Uta8TGOY/
> 2unN17opDIEJHZ1JQ8W5iIYn3hhkq2
> uJAPKzQqy4k3xLcmhmVs3r8h/c+o7UTHJf3ReamaDEQeypVvHBY3vSEST
> 8jUxeoZP/RZR6pnBcnK
> p6//ujxfSNipd0sXY08V49rDBfmLFZHBJ78jh/b+ubzcf0zc7tBaYsiKvHXkoLxZMQFJ0M
> SOzZUF
> +UFiWeSxn5PUn30s515V046of0E/n3sz/0MAAQQQQAABBBBAAAEEEEAAAQQQQAA
> BBBBAAAEEEEAA
> gY4VIDGkY5uGwLpbQL9YH5XExkcS0u7KkX14S/oOn81XcWhSMh++
> ILvaUmHzOB7dfksOnH4zF110
> PCEfndeTLrJy68pROVu4PUutmTZslCHZrMguf6VHn78rB57L37JnMpmRFw5V
> vy/76HP57d96U77+
> u1flf3ntTFVySfbBJ9L31EulNtlQbaI1WaF1zD2rmnnznppB5Fgu8aaVxJD7
> n7wiz7zkJnNEZXLq
> P5PRs682dSsZPZ6sSsDpcxNw1D8SQ3QZlhFAAAEEEEAAAQQQQAABBBBAAAEE
> EEAAAQQQQAABBBDo
> XgESQ7q37Yi8gwU2H9yU/qfO5SMcmlKJH5GKxI/yBIP59EdytHoaDOMamsexKTdf6Zdz+
> UkkZDKp
> brFyqDxdQk/68J+tw0YZ9Si08kNjspp4TfbXe3uN1zbvf
> 6JmJSkkhtSYmcTc02fjKjGk5RlD1j6X
> s/ueyyeVxBflD379rup3rSd26LfsITHEp61YhQACCCCAAAIIIIAAAggggAACCC
> CAAAIIIIAAAggg
> gEAXCpAY0oWNRsidL7B+75rsPXYpF2h0fFHNsvF0VdC33zopp9
> +8o9ZHZD491ZbEEPM41uXa2b1y
> KXdHnCE188mHZTOf5Cr16LacPHBacjWJzatb5hzNrfb+Z6MMr7SqJZUccVIlR9xRL/
> gnplR9wnfF
> 9tuH+QAAQABJREFU3XdPyomrbikiQxOL8uGL1W1m7pkrvvx/LSeGuLe/Oapuf+
> PeQ2ZIFjMfyi8s
> XpP+I/l+10piB4kh5U3DMwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQR6QYDE
> kF5oRerQ
> cQL6BfZ4Ii0XQ9XTgSxce1mOXPpYxR6R2dSUPDtgvxrmcazLDZUYcsFNDInE
> JT11seoWLKIlNoTH
> 5uSz145XVMRGGRVFak8f3LwiT517P7em1q1stLf7LrozgXxXzfDipliIhGR6
> +Z6cGay+HY25p8/m
> Nb9mbiWzqW770l+47cvwVFLeixwSPT4SQ3ysWYUAAgggg
> AACCCCAAAIIIIAAAggggAACCCCAAAII
> IIDADhQgMWQHNjpVbr9AkAv0XmKISCsX8YPUwjwOLakjrBJDPqufGCLqPSn1
> nvIcFxtl1Krtmnxw
> cp+8eke9HhqV5cQbMljrrbXWr92Vl/edEDdFx/0XHptVyS3P5p9U/N/
> cs6JA92lLiSGP5N2TByQ3
> wYlW7yDx+URQWmX6+VJBLCCAAAIIIIAAAggggAACCCCAAAI
> IIIAAAggggAACCCCAQMcIkBjSMU1B
> IL0kEOQCe28mhsRUYshlw8QQvzL8e0f24U3pO3wu92Ikrm5jc7HyNjb+
> nyutzT6Q148+Jbm7sbgr
> 1awoKTUrSnliS+ndgWbkaLpdW0gMeXjrihw+m58lJTaXksvH8xGX97u0XD5aPVONV5
> vqpfLPq3KP
> 1pKo/ixrEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgMwVIDOnMdiGqL
> hfQL7A3vpVM
> WGaWvy+nfG5dYspgHoc220eQW8mMzshnb5yqCNtGGRVFFp7e++CsHHvVvc+
> NyMTShrz45O7CKwEe
> sg/l3V8/nJ91I/f2IUlsfCihOkWYe/rE1WxiyPo9eXnvsfwMJ9EJ2fjoRSmG
> vLlwTfqPXMptJD6/
> LJHHfyLyCyEZLL7BZ/P6Kr1+7ZrFRt8eywgggAACCCCAAAIIIIAAAg
> gggAACCCCAAAIIIIAAAggg
> 0H4BEkPab8wWdqCAfoF9eHJJ3nvhySqFu++elRNX3aSGiMynp6TJyR2qyvNbYR7Hu
> lw7u1cu5XIv
> hmUp8548uatiS2ufy9l9z0muJr6zdtgoo2KbuacP5fVvHJZ33GXtdip+
> 76xat3lf3vruM/LmQvGV
> iMyu/pE8u7+ycsXX84/mnuXl5Z41mRiyfu8D2Xvs1VJBkUhYv
> vrKffqE/OTOLSlVqfCOUGxeEpeP
> lt5fb0GvH4kh9aR4DQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIHu
> ESAxpHvaiki7SGDz
> /g3pf+ZCLuLQyLQk3j5TEf0j+eDkAXn1jrs6InMqMeR4gLt+
> rK08lHRWZNfeAzI40HgaCPM41uWT
> l/fKSx+7cYZkevmenKmY2WTt7ruy78RV9w0SUUkIU1VJCDbKyBVf9r/1e9dUgkR+
> dgz/7Za93Xuy
> viBX9h6R/I1Y3NVRlRQy3jApxH2nuadbSsU/w8SQitKqno7MLMvbpwar1vutIDHET4
> V1CCCAAAII
> IIAAAggggAACCCCAAAIIIIAAAggggAACCHS3AIkh3d1+RN+xAg/
> kyjeeKiQfDEvSeU8O6bE+ui1H
> DpzOz+4QHZf0R+elbl5IdkWufe+MXLruzQcRGZuRP3jtVOk2Inrx3rJ5H
> A9vXZHDZ/NpFMNTSXkv
> UlYT+fytk/Lcm3dymxxPpOV8qLomNsrw6uQuZeXTK0fl+ffzHkFvI5NduS1//+Dp3Owm+
> fKGZT71
> nhwdKC+99jNzz6qym0wMya58Lm9evS4/efzx8qLU879+/32vbqGIDJ34O/
> LKP3kjcP1IDCkn5RkC
> CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACvSBAYkgvtCJ16EgBPWGi
> 8nYyt1UyxelCMoVf
> skVlhR7dfksOnH6zcrXEVSLGRZ9EDP2NxnHoSSxScTuZlU/
> l5MHn5U5ugyMqAebt8gSYYiA2yiiW
> 5T5qyRSBbyOTvS9X+p7xZgqJjMnSH71WdmucR59/IAeee1Uio9PyR2+
> cEb8byxh76vVwl7ML8nLf
> EXEnZYnEEzJ1MVT5juDPH3wi33jqpdz7x5ccOV99B6O6ZZEYUpeHFxFAAAEE
> EEAAAQQQQAABBBBA
> AAEEEEAAAQQQQAABBBDoSgESQ7qy2Qi6GwSyD25K31PnSqHGZ5Ny/sQ++fM/
> fEOOvVS8kUlUEhsf
> SajBXWH0GTdKBaqF2FxKLh+vP92FeRybcvOVfjl3vbDlaFyS8fOy7
> 6sfyhtnTkhh0g6Jjifko/O1
> khpslOHVfOXT1+Xg8+/kVgS7jUxWbr9+VE6/o2YYcUN0JxoJD8voCZHURqHcfpF//
> 6/UjBu512KS
> +uyy+Mna8Lx/9wfyox+nRB57TAVwV85eyNdFZaTI1KVfEfmZG
> 9Nj8ot/+1cldKh6BpZCxKWHtfuf
> y8yP1mT97u/IBbeO6l94ZFyu/hdH5D9/7qgM+GW4lD7tLZAY4lmwhAACCCCAAAIIIIA
> AAggggAAC
> CCCAAAIIIIAAAggggECvCJAY0istST06UmDhxsty5II7F4T/v9jcqkrs2O//
> ora2VmLIZDIjLxxq
> fNXfOI71e/Ly3mO5WS20sLzFSFxWpy5K3ZrYKCO3xXW5cXavXLiV3/zE4oa8+
> HSDzJr1u3Jy74nC
> zCbqcyGVHbKQT6DwKqEthWsnhrjvMvKsjEXbbOViaGxOEq8dr1xd8XxNPjiy
> T16tUZ0xlTz0WoPk
> oWKBJIYUJXhEAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAoHcESAzp
> nbakJh0pkJV7N35b
> jl0ozhBSDDIksdlP5fKzg8UVDR7X5ObrvyHn3rlTet9QfFZiF5+
> VBikRhfdbiOPRXbly2pshpBSI
> mkFkefyiDDbOTxGxUYa6jczJ/mOl29csq9vXNFZck09e+
> Q156brnV4rfZyEan5ePLh71eaW4ysBz
> U93Spl+7pU2xSJ/H4YlFee/Fp31e0VdtyqevPy/Pa33DezUsU8lpiRwK1ktIDPHkWEIAA
> QQQQAAB
> BBBAAAEEEEAAAQQQQAABBBBAAAEEEECgVwRIDOmVlqQeHS2wuXJffpBYkW8e
> eFxWfypy5LvHZbDx
> HUKq6rS5tibZvj7JqHSQgT1BMjHKizCPY13u3/1CVE3k8a9XRfYfkeOhxmkZ5VGYl7H+
> aEXdAiYr
> u/YekMGBYEkP5THYeWbuaScOW6WQGGJLknIQQAABBBBAAAEEEEAAAQQQQAABBB
> BAAAEEEEAAAQQQ
> 6BwBEkM6py2IBAEEENhWgc2Fa9J/5FIuhth8Si4fHdjWeNg4AggggAACCC
> CAAAIIIIAAAggggAAC
> CCCAAAIIIIAAAgiYC5AYYm5ICQgggED3CmQ3ZW0tLbKrX1J/+
> nvy1OmrubqQGNK9TUrkCCCAAAII
> IIAAAggggAACCCCAAAIIIIAAAggggAACCOgCJIboGiwjgAACO0xg4dpZOXLp
> VlWtSQypImEFAggg
> gAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAl0pQGJIVzYbQSOAAAJ2BO5/
> 8oo889L1qsLGF9Ny
> /uk9VetZgQACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC3SVAYkh3t
> RfRIoAAAtYFspub
> ktVL3bVbdu/SV7CMAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAALdKkBiSLe2HHE
> jgAAC
> CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAINBEgMaQDEywgg
> gAACCCCAAAIIIIAA
> AggggAACCCCAAAIIIIAAAggggAACCCCAQLcKkBjSrS1H3AgggAACCCCAAAII
> IIAAAggggAACCCCA
> AAIIIIAAAggggAACCCCAQAMBEkMaAPEyAggggAACCCCAAAIIIIAAAggggAAC
> CCCAAAIIIIAAAggg
> gAACCCDQrQIkhnRryxE3AggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA
> AggggAACCCDQQIDE
> kAZAvIwAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCHSr
> AIkh3dpyxI0AAggg
> gAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCDQQIDGkARAvI4AA
> AggggAACCCCAAAII
> IIAAAggggAACCCCAAAIIIIAAAggggAAC3SpAYki3thxxI4AAAggggAACCCCA
> AAIIIIAAAggggAAC
> CCCAAAIIIIAAAggggAACDQRIDGkAxMsIIIAAAggggAACCCCAAAIIIIAAAggg
> gAACCCCAAAIIIIAA
> AggggEC3CpAY0q0tR9wIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII
> IIAAAggggEADARJD
> GgDxMgIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg0K0C
> JIZ0a8sRNwIIIIAA
> AggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg0ECAxJAGQLyMAAII
> IIAAAggggAACCCCA
> AAIIIIAAAggggAACCCCAAAIIIIAAAgh0qwCJId3acsSNAAIIIIAAAggggAAC
> CCCAAAIIIIAAAggg
> gAACCCCAAAIIIIAAAgg0ECAxpAEQLyOAAAIIIIAAAggggAACCCCAAAIIIIAA
> AggggAACCCCAAAII
> IIAAAt0qQGJIt7YccSOAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA
> AAIIIIAAAg0ESAxp
> AMTLCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIBAtwqQ
> GNKtLUfcCCCAAAII
> IIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIBAAwESQxoA8TICCCCA
> AAIIIIAAAggggAAC
> CCCAAAIIIIAAAggggAACCCCAAAIIINCtAiSGdGvLETcCCCCAAAIIIIAAAggg
> gAACCCCAAAIIIIAA
> AggggAACCCCAAAIIINBAgMSQBkC8jAACCCCAAAIIIIAAAggggAACCCCAAAII
> IIAAAggggAACCCCA
> AAIIdKsAiSHd2nLEHVxgc00erqbV+3fJgUODsjv4J713WihjbeWhpLMqir0
> HZHCgpShkc31dVBGl
> f7v37FG14h8CCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAL+
> AiSG+LuwtkcEVj6/
> JmeeuyQLpfpEZTr5L+TMoeCJGcZlZFfk2vfOyKXrXhSRsRn5
> g9dONZWksnL7LTl4+s1STdyFsbmU
> vHZ8oGwdTxBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEECgK
> kBhSlOCxBwVW5K1v
> HJTyVApVzci4pKfOy55ANTYv45FK6DhQkdDhbjqeSMvFULAoRM0T8unrR+
> X5d7zkElURmUtNCXkh
> gRqSNyGAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAI7UoDEkB3Z
> 7Duk0tkH8nrfU/JO
> ZXXDMUl9dlkCzbNhoYyHt67I4bPvV0YhMTXbx+XAWR0P5fVvHC6rS3hsTj577XhVuaxA
> AAEEEEAA
> AQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgKEBiSFGCxx4UqE6myFVy
> aEoyH0ZkV6Aam5dR
> KzFkMpmRFw4FiyK7ckuOHjyr3RInLLOpz+TZQNktgSrKmxBAAAEEEEAAAQQQQAAB
> BBBAAAEEEEAA
> AQQQQAABBBBAAAEEelCAxJAebFSq5AmsLdyU3zhyTu4UV4WGZPbTmDw7uLu4
> puGjeRlrcvP135Bz
> 75SikKH4rMQuPitBo3h463U164g390l4dFY+e+PZhrHzBgQQQAABBBBAAAEEEEAAAQQQ
> QAABBBBA
> AAEEEEAAAQQQQACBnS1AYsjObv+dUfvspqxtZqUvk5HdAwMBZwqpoLFQx
> ubammT7+kRFIQN7gs0U
> ko8iK59eOSrPv79QCCok06sJObO/IkaeIoAAAggggAACCCCAAAIIIIAAAg
> gggAACCCCAAAIIIIAA
> AgggUCFAYkgFCE8R6DyB8tvZhEamJfH2mc4Lk4gQQAABBBBAAAEEEEAAAQQQ
> QAABBBBAAAEEEEAA
> AQQQQAABBDpOgMSQjmsSAkKgXCD74Kb0PXWusDIkU8l7EjnUzIwj5eXxDAEE
> EEAAAQQQQAABBBBA
> AAEEEEAAAQQQQAABBBBAAAEEEEBg5wiQGLJz2pqadqnApkoM6S8mhgxNSebD
> SGu3w+nS+hM2Aggg
> gAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggEDrAiSGtG7HJxHYOoHN
> R3Lvhw/kP/7l43Jo
> z9Ztli0hgAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCHS3AIkh
> 3d1+RI8AAggggAAC
> CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCNQUIDGkJg0vIIAAAggg
> gAACCCCAAAIIIIAA
> AggggAACCCCAAAIIIIAAAggggAAC3S1AYkh3tx/RI4AAAggggAACCCCAAAIIIIAAAgggg
> AACCCCA
> AAIIIIAAAggggAACNQVIDKlJwwsIIIAAAggggAACCCCAAAIIIIAAAggggAAC
> CCCAAAIIIIAAAggg
> gEB3C5AY0t3tR/QIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggEBNARJDat
> Lw
> AgIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg0N0CJIZ0
> d/sRPQIIIIAAAggg
> gAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgggUFOAxJCaNLyAAAIIIIAA
> AggggAACCCCAAAII
> IIAAAggggAACCCCAAAIIIIAAAgh0twCJId3dfkSPAAIIIIAAAggggAACCCCA
> AAIIIIAAAggggAAC
> CCCAAAIIIIAAAgjUFCAxpCYNLyCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg
> gAACCCCAAAIIIIAA
> At0tQGJId7cf0XeLQHZdHia/lIwbb1+/HDw0KLu3I3YLcayvPJQvN3I1kf59B2
> VwoPma2CjDmM+C
> RXZ9TVZTadnIZFSzPiEHBve33K7rj1bkK+mXfQMDsntXa7WzUUZrW7b0KQttYiMS
> 4/5pox42yrCA
> YWwhWVl7tCrprzbU91+fPPGtA7J/T/PfGfmqrMvKQzVK9u2TgW0twwKsQRHm
> bWKw8eJHbfRPC2V0
> hIUyMY3D5r5ERWM8Trp+X1LspzzaEbAwVm0EYjrO3BhslJGvy6
> bat6Wlb2C/7Gn2mM2ip/vdsZbp
> k/0De2wQN1eGqsfKypfqGNj9WL986/Bg8xZWjxGaC9/2u+
> 31LbPIjOPokP5pXI8So8FYLZXR+oK7
> P/1SHQO7//qf+JYM7m9+rNo9Rmi9LnwSAQQQQAABBBBAAAEEEE
> CgRwQc/iGAQFsFlmfjTkjEUV8Z
> 3n+hIWdmaaOt260s3DiOTNIZHwp7dSjUZyg24wSuSatlpBPOaCTiRBr+
> F3YiwxNOqrLyFc9NLVYT
> 085ItNpCJOzEphcrthbg6epMWR8ZX0wH+FDFW2yUUVHkVj41bRMrsbbaP7WN26h
> Hy2XYHCemFplV
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> 0xJKIS
> Q6a2LzGkuyGJHgEEEEAAAQQQQCCIwMNbr8vhs+8U3hqS6eV7cmaw+
> TTFINviPQgggAACCCCAAAII
> IIAAAggggAACCCCAQFABEkOCSvG+7hPQE0NCo7L4x1fkW9kNkb0DalYHTt
> B3X4MSMQIIIIAAAggg
> 0MkCm3Lzle/KueuF+UKGpyXz3pkWZq/q5DoSGwIIIIAAAggggAACCCCAAAIII
> IAAAgh0owCJId3Y
> asQcTGD9npzde0xuVb57m28rUxkOzxFAAAEEEEAAAQR6QWBTbl35rpx9P58Y
> MpnMyAuHSEbuhZal
> DggggAACCCCAAAIIIIAAAggggAACCHS7AIkh3d6CxF9bIHtfrvQ9I+
> 9XviMyrm4rc172VK7nOQII
> IIAAAggggAAChgKPHtyTB19/W46HBg1L4uMIIIAAAggggAACCCCAAA
> IIIIAAAggggIAdARJD7DhS
> SscKZGVzM1sW3a7du5nSu0yEJwgggAACCCCAAAIIIIAAAggggAACCCCAAAII
> IIAAAggggAACvSpA
> Ykivtiz1QgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIEd
> L0BiyI7vAgAggAAC
> CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQK8KkBjSqy1LvRBA
> AAEEEEAAAQQQQAAB
> BBBAAAEEEEAAAQQQQAABBBBAAAEEEEBgxwuQGLLjuwAACCCAAAIIIIAAAggg
> gAACCCCAAAIIIIAA
> AggggAACCCCAAAIIINCrAiSG9GrLUi8EEEAAAQQQQAABBBBAAAEEEEAAAQQQ
> QAABBBBAAAEEEEAA
> AQQQ2PECJIbs+C4AAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgj0qgCJI
> b3a
> stQLAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBHa8AIkh
> O74LAIAAAggggAAC
> CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACvSpAYkivtiz1QgABBBBA
> AAEEEEAAAQQQQAAB
> BBBAAAEEEEAAAQQQQAABBBBAAIEdL0BiyI7vAgBsiUB2XR4mv5SMu7G+
> fjl4aFB2b8mGKzZiIY71
> lYfy5UauJtK/76AMDrRak01Ze5SWvoH9smdXRZyNnlqoR3ET2fU1Wcv0yf6BPcVVW/
> eo6rGy8qXk
> OfvlW4cHm7eQrHJclfRXG6p/9ckT3zog+/e02iZbV3W2hAACCCCAAAIIIIAAAggg
> gAACCCCAAAII
> IIAAAggggAACWyNAYsjWOLOVHSyw8vk1OfPcJVnQDUJDMvMvY3Lqya27gG8c
> R/ah3Pjeb8qF63f0
> mshQbEZil08FSnRZf/RQ/mzhC5n919+Xj9+5njMJx+bls8tHy8qs98S8HipJZ+nP5Is7s/
> L96Y/l
> +i23ZcIyn/5MjjbMDcnK5x/8trw58+/liTpBPvF3XpYP3nhBBmq+JysLN9+
> Rl869Wd4vJCRjUxPy
> WiRU85OlF7KP5NPff09eu/RORRmqNsNxib91UZ5uWJ9SaSwggAAC
> CCCAAAIIIIAAAggggAACCCCA
> AAIIIIAAAggggECPCpAY0qMNS7U6Q2Dl9rty8PTVGsGEZCr5hUQOtT85xDyO
> FXn35EG5ese/KqGR
> afni7TN1kkPW5MYrv6aSSsrSY3KFRVRiyFTAxBDTeqzduyH7jl3wqUREJYZM
> BUgMWZdrJ/fKpRoO
> XsEhmU0l5FnfzJCsfPrWr8vzb9YuJDI2I3/02impOZHK+
> oJc2XtE3vc26LMUlbnUR3LcNwbv7Suf
> 35Cr/3RGHv/244WVX8vXX/+8XBh7U04Ntr9vepGwhAACCCCAAAIII
> IAAAggggAACCCCAAAIIIIAA
> AggggAAC7RAgMaQdqpSJgCvw6LacPHBa7hQ0huIz8o8jh+
> VPfve35KV3imtHJOm8LYcK72nLg4U4
> Pn/rpDxXTGQIDcvMH16Rwz/9E/mtEy+V6jc8lZT3IjVqsrkgZ/
> uPyC2fCgZODLFQj4VrZ+XIJd8o
> AieG3Di7Vy4UighHIlUzh3z11Vfyn5z4nnzwtv+MIWv3PlDJKa+
> WJIbi02qGkL8lj37wf8iJc14S
> 0ch0Ut4+4++5fvdd2Xui+N6IxCb/O/l73z0sXydvy+88d8FzHp6SzHuR2gkmKooHN6/IU+
> eqU0xi
> 8ym5fLRBVkmpFiwggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggECn
> CpAY0qktQ1xdL3Dv
> g7Ny7NV8BkEkNqdmxTheqNO63HhZJRd8nH86OrMsb5wabFt9jeNYvytn954o
> JBtE1EwYU6WZMNYX
> bsjeI4UZOEKjspx4Q2rVZO3hgvzFisjgk9+RQ3v/XF7uPyYuQdDEEON6uMLZNVn4t38h8s
> 1B+c7T
> h+Qvr72sEkVyUTSdGBKJJVSbBrjlS1nLqrbXEkuGJxflvReeLr0jsOf6A7nxe5
> /I5t8My9//L5+V
> /frUIiufysmDzxcSdoYksfGhhOpM/LG5siA/SCyLPPZzkvqzj+
> Xcq9dz8ZAYUmoWFhBAAAEEEEAA
> AQQQQAABBBBAAAEEEEAAAQQQQAABBBDoagESQ7q6+Qi+cwVW5K0jB+
> XN3J1Touri/EdlF+ezD29J
> 3+Gz+fCHJiXz4Qt1Z3VovZ7mcTy6/ZYcOP1mLoToeEI+Oq8nQ2Tl1pWjcvb9/
> C1iJpc25IUn62Qh
> FCuyeU/NIHIsl2wSLDHEvB7FTeuPC0aJIcFvgeNt85F8cPKAvHrHXTMsS5n35Ek9qUP
> KPScWN+TF
> pwN4ehtQS5sq+aS/MKtJRObULXKO7yl7Q80n2fs3pO+ZfKIPiSE1mXgBAQQQQAABBBBAAAEEE
> EAA
> AQQQQAABBBBAAAEEEEAAga4SIDGkq5qLYLtFYPPBTel/6lw+3CF1O48PK2/
> nUZ7oMJ/+SI4GvHjf
> jIF5HJty85V+OZefREImkyrx41B5ooKeOBKJq1k0LuqJIzWiVYkhzcwYYl4P/
> zhMEkOi44sqSeZp
> /4JrrdVnX4mMS3rqvFQ2++dvHVG37ckn2lQn4tQqWF+/Ju+
> e3CdX77jrIgFnQsl/fn3hmpoB5lLu
> CYkheRP+jwACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggEC3C5AY0u0tSPwdKbB+
> T11gP5a/
> wF4rgeD2Wyfl9Jt3VPzNXbxvpsLmcazLNXXrk0u5O+LUuC3Jo9ty8sDp3K1Lgs3+
> oWrQZGKIeT38
> 1UwSQ0SiEhv7efm//82c/PivfiI/+Rt/Q06c+k35RxejEiq7t4u27ewDeb3vKXnHXVX
> j1jvlt8xp
> dlaSTbl7Y0ROXHg/v9EmZ6MhMURrKxYRQAABBBBAAAEEEE
> AAAQQQQAABBBBAAAEEEEAAAQQQ6BEB
> EkN6pCGpRmcJ6BfY44m0XAxVzgshoiclzKam5NkB+3Uwj2Nd3ZZkb/
> 62JJG4muHiYtUMF3qSR3hs
> Tj577XjjijSbGKLNZGHTU2+DeXXLlcaztmgedWo5NpOU104d8nmHn
> mgjMjaXkteOaw2fvS+v9D0j
> hQlaJFiiTVYWbv2+/G//15/KD69fzyXo5DYcHpH5//NtOaoV7xNQ2Sq9vzBjSBkNTxBAAAEE
> EEAA
> AQQQQAABBBBAAAEEEEAAAQQQQAABBBDoWgESQ7q26Qi8kwWCXGD3khJE2nUR
> 3jwOLREirBJDPquf
> GCLqPSn1noa5CAaJIbWsWvH0PhN01haV2HFSzaByp9D7wkMy9g9OyIGf/b/
> yv7/6ppeUoV4eVwlB
> 530Sgh7cvCJPnSvM6CFhmZifkBePDkp2bUH+2fkjclXNzuLejMe9mUywxJA1+
> eDIPnk1f/eZQmDq
> sxPqtj4vBritT+kTIkH6i/Z2FhFAAAEEEEAAAQQQQAABBBBAAAEE
> EEAAAQQQQAABBBBAoAsESAzp
> gkYixO4TCHKB3UtK6KXEkJhKDLncw4khWbn9wW9L7P/ZJ5f+
> 0X8tZ0KDXufMrsi1752RS9cLGRrh
> MVn97DXZ772jsLQi7x45KFf1RI6QSuBYcFcUU0Lybw2WGJJVt495R/75zI/
> kx//uY7mjigmp8hZU
> eeHRGfn+G6dkV1UM/iuC9Fv/T7IWAQQQQAABBBBAAAEEEEAAAZowBu
> wAAEAASURBVAQQQAABBBBA
> AAEEEEAAAQQ6VYDEkE5tGeLqagH9AnvjW5+EZWb5+3JqMOjl++
> A05nFoM4YEuZWMSkT4TCUiNPxn
> MGOITU8vOSfojCENalZ2K5iIzKnb0xyvvouQyOZD+eAfHpZXP65f3vDUkrwXebL+
> m8pezcqDT39P
> nnr+1dLaWjOXlN6gLej9pdbMLNrbWUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA
> AAEEEEAAgS4Q
> IDGkCxqJELtPQL/APjypLu6/UH1x/+67Z+WEe98QsZSU4MNkHoe6dcpZdesUN0wZ
> lqXMe/JkZf7K
> 2udydt9zkqtJfF6mLh71iaRilUFiiE1P64khqpr3rp2VY3kwic+
> n5eJRv8yQvMfDhdty+9/8SL5S
> T5944hfk2V8/In/69hk5935+OpGY+vzlOp+vUC091W9XE47Ny2eXA7SJ+
> rTeX0gMKXGygAACCCCA
> AAIIIIAAAggggAACCCCAAAIIIIAAAggggEBXC5AY0tXNR/CdKrB5/
> 4b0P3MhF15oZFoS6mJ/+b9H
> 8sHJA/LqHXdtnZklyj8kaysPJZ0V2bX3gAwO7K54tfqpeRzr8snLe+
> Wl3MwWIZlevidnKmY2Wbv7
> ruw7cTW38WC3PlFvbTIxxLwe1TbumnYkhty/8bI8cyE/FUhsLiWXjw/
> 4b9xv7frncnLvc3In99qQ
> zKc/lBbyQqSlNlHbJDHEr1FYhwACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg
> gEB3C5AY0t3t
> R/QdK/BArnzjKXk/F9+wJJ335JAe66PbcuTAacnNCxEdl/
> RH56X2vBLqg9kVufa9M3Lpen4mCbeo
> yNiM/MFrp6R+eoh5HA9vXZHDZws1mUqqW5uU1UQ+f+ukPPfmHTckCXzbkiYTQ0TM65ELsOJ/
> 9hND
> NuWTV/rlpevuhtQtglY/k1P7KzZa82lWPn3r1+X5gmU4Nqdm+
> jhe8931Xli/+4HsPZG/nQwzhtST
> 4jUEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEel+
> AxJDeb2NquE0CesJE5e1PbqtkitOF
> BIBhn2SLypAf3X5LDpx+s3K1xBPqViWhuiklZYkbLcWhJ7FU3k
> 5m5VM5efD5wgwXIyoB5u3yBJiq
> iAsrsgvyct8RcefViMQT6vYzoVrvLK236Vks1JvdIyqJzEcSqrxNTvGNxcfs
> pmyqGVt27/ZPx3n4
> 6Vty+PliOw3JYuZDebpRmbmyN1VSyD9QSSHuDXncf/VmkVmTT6/9C/
> nR7iPy986G5cmqmWMeyrsn
> D8vVO7mCZHhK3cooUn0ro/yr5f9nxpByD54hgAACCCCAAAIIIIAA
> AggggAACCCCAAAIIIIAAAggg
> 0AsCJIb0QitSh44UyD64KX1PnSvFFp9NyvkT++TP//ANOfZSfgYOEZWQsKESEvzzDEqf1Wft
> KK1U
> C0FuVWIex6bcVLNgnMvNgqE2Go1LMn5e9n31Q3njzAl5vzCJSXQ8IR+
> dr5XgsSn37/5AfvTjlMhj
> j4mk7srZC+/kqxIZlalLvyLyM/fpY/KLf/tXJXSoOtnFvB7qDjaP7ssP5n4kKbWt
> x9Qm/l38rBRz
> MUbHp+RX9uVDemzgF+VXnw1VzOKyLjfO7pULbu5GKCqx//
> 4lOfmrR+Tb/X0imZ/IH3/8P8m5q/lb
> yLilDE0uyYcv1E/IyG6uy+p/+EL+16unS3G4nx2bXZbXnh10F6v+
> rd9Ts4Ecy88G4r4YHYnLhcjf
> lacO/Ufy/z34E3n3ey/Jx6WJZaLqdjQfBb4dDYkhVdysQAABB
> BBAAAEEEEAAAQQQQAABBBBAAAEE
> EEAAAQQQQKDrBUgM6fompAKdLLBw42U5csFLFqiMNTa3KpePN77XSK3EkMlk
> Rl441HhKCuM41u/J
> y3uP5Wb4qKxD7nkkLqtTF6VmTdbvysm9Jwozi/iWUFoZGpuTxGv+
> t1Axrce9D07KsVfvlLZVeyEk
> c+mEHC/LT1mXayf3yqUgHx+akPSHL1YkluS3tvDJ6/LSS/
> 9K3UaolL2hhRGS8fkZOX+0pqTKblGz
> rfTnZ1vRPui7GJtV/evZOmVVfIrEkAoQniKAAAIIIIAAAgg
> ggAACCCCAAAIIIIAAAggggAACCCDQ
> AwIkhvRAI1KFThbIyr0bvy3HLhRnCCnGGpLY7Kfqor3/rBDFd3mPa3Lz9d+
> Qc+/cKa0ais9K7OKz
> 0mCykcL7LcTx6K5cOe3NEFIKRM0gsjx+UQbr5ads3pcr/c9IpUKpDG1heGJR3nvxaW2NvmhWj/
> s3
> r8gz5wJFIYsb78nTFbibK/fkg//xv5Wr1+/oQWnLIRmbvCH/zQtHxZ+
> jdnJJZGRcxl4/L0+XJaNo
> RWuL2bX78vv/81W59E7x1jPai+5iZERm/tnrcurJAIVpHyUxRMNgEQEEEEAAAQQ
> QQAABBBBAAAEE
> EEAAAQQQQAABBBBAAIEeESAxpEcakmp0tsDmirqFSWJFvnngcVn9qciR7x6X
> weau2ecquLm2Jtm+
> PsmodJCBPf6pB/UkzONYV7eE+UJUTeTxr1dF9h+R46GgyS31ImvuNfN6NLe9yndnN9ck+
> R9+LI8e
> /VS+zmRyLz++/7D88jNPSqNm2Xz0QH54fyX3uZ/97Gfy2DcPytO/9B0ZHKjIQqncqM/
> zXBx/+Vey
> ouIoRCGDT/2SPH1owOfdjVeRGNLYiHcggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAg
> gg0G0C
> JIZ0W4sRLwIIINAmgc2Fa9J/5FKu9Nh8Si4fbS3BpE3hUSwCCCCAAA
> IIIIAAAggggAACCCCAAAII
> IIAAAggggAACCLQgQGJIC2h8BAEEEOgZgeymrK2lRXb1S+pPf0+
> eOn01VzUSQ3qmhakIAggggAAC
> CCCAAAIIIIAAAggggAACCCCAAAIIIIDADhcgMWSHdwCqjwACO1tg4dpZOXLp
> VhUCiSFVJKxAAAEE
> EEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAoCsFSAzpymYjaAQQQMCOwP1P
> XpFnXrpeVdj4YlrO
> P72naj0rEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECguwRIDOmu
> 9iJaBBBAwLpAdnNT
> snqpu3bL7l36CpYRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKBb
> BUgM6daWI24EEEAA
> AQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKCBAIkhDYB4GQEE
> EEAAAQQQQAABBBBA
> AAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ6FYBEkO6teWIGwEEEEAAAQQQQAAB
> BBBAAAEEEEAAAQQQ
> QAABBBBAAAEEEEAAAQQQaCBAYkgDIF5GAAEEEEAAAQQQQAABBBBAAAEEEEAA
> AQQQQAABBBBAAAEE
> EEAAAQS6VYDEkG5tOeJGAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA
> AAEEEEAAAQQaCJAY
> 0gCIlxFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgW4V
> IDGkW1uOuBFAAAEE
> EEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgQYCJIY0AOJlBBBA
> AAEEEEAAAQQQQAAB
> BBBAAAEEEEAAAQQQQAABBBBAAAEEEECgWwVIDOnWliNuBBBAAAEEEEAAAQQQ
> QAABBBBAAAEEEEAA
> AQQQQAABBBBAAAEEEECggQCJIQ2AeBkBKwLZdXmY/FIybmF9/
> XLw0KDstlJwk4VYiGN95aF8uZGr
> ifTvOyiDA83XxEYZTda8+u0WLLLra7KaSstGJqOa9Qk5MLi/
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> KWurKUlvbEimr0/2HRiUgaYKqFny1r9goU1sBG3cP23Uw0YZFjCMLSQra49WJf2V6p/
> SJ09864Ds
> 39P8d0a+Kuuy8lCNkn37ZKDJMjbVWE2Vxuo+GRwckGaGmQVKa0WYt4mFUGz0TwtldI
> SF4jSNw+a+
> REXT2jjppX2JhS5OEZqAhbGqldbyouk4czfcCWW4x3tfqn2i+6//iW/
> J4P49ueVm/mejjOL2Wj7+
> dPfvKyuSyv1N0KfqovatTdfF5jFCsUbb82ijb9mI3DgOG+PdtAz1+
> ZWVL9XfV65Iv3zr8KDsafag
> zUYZWoO0Ok7c/ftKKiXqT0XpU+cA9g02Xxe7xwhapVhEAAEEEEAAAQQQ
> QAABBBDYmQIO/xBAoK0C
> /z977wPrSLXn+f2eRD/RPJq87oh+o9u7zWThZZrZcWvTRC+
> QBGJAIzW7UfVqF7QRGA1IKz9aLwH3
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> 5JTtqjpVrn+uc3yvr/29Unf9setXv9/n/H5Vx3V+9TvdWp7FiBi/wlj/
> YklWbQ8Xel6ncGk9Rh1W
> SMYtG6b2JHNVFtqSqDIGTZbRNKYF/oszLVVkfafxjm1ZFr1mhaUTsyyI4ix
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> CD6o32bFTNJ2nOFjiUyJdUfBIpbpG7JtosSWqP4pnFyFHZFlqIwTWRajHqvk
> 067+GU/lWRgXF7CO
> V6uZmHX9SRZZiChh7VqRJePCccZ1OJZgpUbXeYrl3pZtE0XWRfZP4fzSMiRY
> tEoZFo+HuJ/w7xQa
> AXcTCT10HMrvJVzm3HGyYvcSwc2wqoCAdKwq0IFJxtlYhSWQMeo1WCYxez+
> KJbKsGXCpMTCqkGHI
> Gi+j9D/5ge1qgWkx4XfN9N4a09Ks2gphzAL6CDa79nJDhW+
> p0FeBHiriXU7GiDX5PXrmdzPFWLbc
> DElJhQzHqaLEyaDNCmnN6rca/U9uSzpfDfytqmuwiD6CwzJsggAIgAA
> IgAAIgAAIgAAIgAAIrCEB
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> 6pUJKE3k9uiwbN/SeXcbS
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> 6PLQ1MkhxZo+HOZQ
> cOFflW0TNQpG90/j/CrskJGhLk4kWfAElZT5ANzpl8Z2gtV
> DjB0ZbIft4jjuYrHpoFo8H/BQvc9K
> qdkBOCN5ylgmi2EHGgxN9msp2SaK1JbxT0MFeRkyLPos73MvM/
> zCWMazftdyGT0YU38vYWzeOFm1
> e4nhY1iqISAfqyr0kIuziQb7L2PUqbC4731RY9WAjF4VMuwtMn//Uz++
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> WkAfQRS/t+sqfEuFxvJ6qIh3ORkjVsnEfX9jadkq8897VyHD2R4R4qRXY5pvvPM4iWdZx8
> eYRfQR
> nJZhGwRAAARAAARAAARAAARAAARAYD0JIDFkPdt9Pawe1D0eymQDBhQV4eFv
> F4kPgZP87aBOl1d5
> SIsPvdLM59GpGkUU6FETH9TFUvxtwA5r14s2+1Jlf0tkZAyaefNBYVxI9DESfpJJ4SF
> 1POfdvtIs
> +iwrvCGppXKs1myzbqfJ21XQgT8MLPs97RNatu+S9OKfGDJwDGzyt9orDe5bXdbi1RFsD
> yJT5RAJ
> O4Iy+7Eq3SZqlJbxz7EGKuyQlKEqTmRZDOpiQpzGcqUaa3c6rFnjbxiLD8q5f/
> o8Exca1jGYr8cg
> Twzxy3saNO3JZFq6wBr8utXttmZitbTH1ZsEw0KvyrZJ6BP5fVHSP8eiFciQ
> Y8Gvnxr3H90PY3Ez
> adS6l6RsPprzyV6S00P9vYTxO58t6SUwTlbsXuLnu/hsfgIKYnX+
> k84eIRdnE3n7L8MZmylW4X3H
> TqvOsonp9Wh8b/T7TaBChp3v/P1PxgYNqz+uX0czxTrrDYZs0O+
> wcjZh9tX1Cnq1nv18xpb6PoIh
> ee+XKnxLhdbSeqiId0kZTn9M5ius3e2weknsUxJL+yQdqZDhbA+nTN3v/X+
> n9VnB6Gfoca1lWL3d
> Y8PhgHUaZZYYx/ok7uPZmvN00+1F9BE8ToXdIAACIAACIAACIAACIAAC
> IAACa0cAiSFr1+RrZPCw
> ITx80VixWmXVSoUP5O/N9AGNnJUoYK8gMWAF4UFwprpYfaT1s
> CXYaKwmvOU/aBash8CxDPO0RFLG
> sDU9T6LgMRjcMSsUaHnvCgDSLHj46OWzM9k8q82UyuZvqQlJP4lCmClluiwj
> JJqMBysDHziKg3m8
> Koiz6Ey3IlQT0VjDb/R8CS4HKtpE2gxJ/9TPr8IOWRlK4kQBC6aXz85mWJ4nhPS
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> EEAAgeEXIDBk+NeYGSKAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIDAiAoQG
> DKi
> C8+0EUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQGD4Bf4PoX6
> lA2hfUIMAAAAA
> SUVORK5CYII=
> --Apple-Mail=_7656CE3C-B772-49F5-A2B6-FE503BAEC821--
>
> --Apple-Mail=_049CE903-17B0-49DF-AB92-DFA4CDCB8C85--
>
> ------------------------------
>
> Subject: Digest Footer
>
> _______________________________________________
> yt-users mailing list -- yt-users(a)python.org
> To unsubscribe send an email to yt-users-leave(a)python.org
>
>
> ------------------------------
>
> End of yt-users Digest, Vol 119, Issue 43
> *****************************************
>
--
*SK2*
*"**Claiming that something can move faster than light is a good
conversation-stopper in physics. People edge away from you in cocktail
parties; friends never return phone calls. You just don’t mess with Albert
Einstein.**"*
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