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.. _parallel_multiengine:
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==========================
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IPython's Direct interface
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==========================
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The direct, or multiengine, interface represents one possible way of working with a set of
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IPython engines. The basic idea behind the multiengine interface is that the
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capabilities of each engine are directly and explicitly exposed to the user.
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Thus, in the multiengine interface, each engine is given an id that is used to
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identify the engine and give it work to do. This interface is very intuitive
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and is designed with interactive usage in mind, and is the best place for
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new users of IPython to begin.
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Starting the IPython controller and engines
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===========================================
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To follow along with this tutorial, you will need to start the IPython
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controller and four IPython engines. The simplest way of doing this is to use
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the :command:`ipcluster` command::
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$ ipcluster start -n 4
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For more detailed information about starting the controller and engines, see
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our :ref:`introduction <parallel_overview>` to using IPython for parallel computing.
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Creating a ``DirectView`` instance
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==================================
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The first step is to import the IPython :mod:`IPython.parallel`
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module and then create a :class:`.Client` instance:
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.. sourcecode:: ipython
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In [1]: from IPython.parallel import Client
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In [2]: rc = Client()
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This form assumes that the default connection information (stored in
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:file:`ipcontroller-client.json` found in :file:`IPYTHONDIR/profile_default/security`) is
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accurate. If the controller was started on a remote machine, you must copy that connection
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file to the client machine, or enter its contents as arguments to the Client constructor:
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.. sourcecode:: ipython
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# If you have copied the json connector file from the controller:
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In [2]: rc = Client('/path/to/ipcontroller-client.json')
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# or to connect with a specific profile you have set up:
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In [3]: rc = Client(profile='mpi')
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To make sure there are engines connected to the controller, users can get a list
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of engine ids:
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.. sourcecode:: ipython
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In [3]: rc.ids
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Out[3]: [0, 1, 2, 3]
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Here we see that there are four engines ready to do work for us.
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For direct execution, we will make use of a :class:`DirectView` object, which can be
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constructed via list-access to the client:
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.. sourcecode:: ipython
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In [4]: dview = rc[:] # use all engines
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.. seealso::
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For more information, see the in-depth explanation of :ref:`Views <parallel_details>`.
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Quick and easy parallelism
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==========================
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In many cases, you simply want to apply a Python function to a sequence of
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objects, but *in parallel*. The client interface provides a simple way
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of accomplishing this: using the DirectView's :meth:`~DirectView.map` method.
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Parallel map
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------------
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Python's builtin :func:`map` functions allows a function to be applied to a
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sequence element-by-element. This type of code is typically trivial to
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parallelize. In fact, since IPython's interface is all about functions anyway,
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you can just use the builtin :func:`map` with a :class:`RemoteFunction`, or a
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DirectView's :meth:`map` method:
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.. sourcecode:: ipython
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In [62]: serial_result = map(lambda x:x**10, range(32))
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In [63]: parallel_result = dview.map_sync(lambda x: x**10, range(32))
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In [67]: serial_result==parallel_result
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Out[67]: True
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.. note::
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The :class:`DirectView`'s version of :meth:`map` does
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not do dynamic load balancing. For a load balanced version, use a
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:class:`LoadBalancedView`.
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.. seealso::
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:meth:`map` is implemented via :class:`ParallelFunction`.
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Remote function decorators
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--------------------------
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Remote functions are just like normal functions, but when they are called,
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they execute on one or more engines, rather than locally. IPython provides
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two decorators:
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.. sourcecode:: ipython
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In [10]: @dview.remote(block=True)
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....: def getpid():
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....: import os
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....: return os.getpid()
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....:
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In [11]: getpid()
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Out[11]: [12345, 12346, 12347, 12348]
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The ``@parallel`` decorator creates parallel functions, that break up an element-wise
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operations and distribute them, reconstructing the result.
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.. sourcecode:: ipython
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In [12]: import numpy as np
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In [13]: A = np.random.random((64,48))
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In [14]: @dview.parallel(block=True)
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....: def pmul(A,B):
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....: return A*B
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In [15]: C_local = A*A
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In [16]: C_remote = pmul(A,A)
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In [17]: (C_local == C_remote).all()
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Out[17]: True
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Calling a ``@parallel`` function *does not* correspond to map. It is used for splitting
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element-wise operations that operate on a sequence or array. For ``map`` behavior,
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parallel functions do have a map method.
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==================== ============================ =============================
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call pfunc(seq) pfunc.map(seq)
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==================== ============================ =============================
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# of tasks # of engines (1 per engine) # of engines (1 per engine)
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# of remote calls # of engines (1 per engine) ``len(seq)``
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argument to remote ``seq[i:j]`` (sub-sequence) ``seq[i]`` (single element)
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==================== ============================ =============================
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A quick example to illustrate the difference in arguments for the two modes:
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.. sourcecode:: ipython
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In [16]: @dview.parallel(block=True)
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....: def echo(x):
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....: return str(x)
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....:
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In [17]: echo(range(5))
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Out[17]: ['[0, 1]', '[2]', '[3]', '[4]']
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In [18]: echo.map(range(5))
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Out[18]: ['0', '1', '2', '3', '4']
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.. seealso::
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See the :func:`~.remotefunction.parallel` and :func:`~.remotefunction.remote`
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decorators for options.
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Calling Python functions
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========================
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The most basic type of operation that can be performed on the engines is to
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execute Python code or call Python functions. Executing Python code can be
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done in blocking or non-blocking mode (non-blocking is default) using the
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:meth:`.View.execute` method, and calling functions can be done via the
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:meth:`.View.apply` method.
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apply
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-----
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The main method for doing remote execution (in fact, all methods that
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communicate with the engines are built on top of it), is :meth:`View.apply`.
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We strive to provide the cleanest interface we can, so `apply` has the following
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signature:
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.. sourcecode:: python
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view.apply(f, *args, **kwargs)
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There are various ways to call functions with IPython, and these flags are set as
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attributes of the View. The ``DirectView`` has just two of these flags:
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dv.block : bool
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whether to wait for the result, or return an :class:`AsyncResult` object
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immediately
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dv.track : bool
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whether to instruct pyzmq to track when zeromq is done sending the message.
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This is primarily useful for non-copying sends of numpy arrays that you plan to
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edit in-place. You need to know when it becomes safe to edit the buffer
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without corrupting the message.
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dv.targets : int, list of ints
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which targets this view is associated with.
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Creating a view is simple: index-access on a client creates a :class:`.DirectView`.
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.. sourcecode:: ipython
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In [4]: view = rc[1:3]
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Out[4]: <DirectView [1, 2]>
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In [5]: view.apply<tab>
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view.apply view.apply_async view.apply_sync
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For convenience, you can set block temporarily for a single call with the extra sync/async methods.
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Blocking execution
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------------------
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In blocking mode, the :class:`.DirectView` object (called ``dview`` in
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these examples) submits the command to the controller, which places the
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command in the engines' queues for execution. The :meth:`apply` call then
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blocks until the engines are done executing the command:
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.. sourcecode:: ipython
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In [2]: dview = rc[:] # A DirectView of all engines
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In [3]: dview.block=True
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In [4]: dview['a'] = 5
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In [5]: dview['b'] = 10
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In [6]: dview.apply(lambda x: a+b+x, 27)
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Out[6]: [42, 42, 42, 42]
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You can also select blocking execution on a call-by-call basis with the :meth:`apply_sync`
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method:
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.. sourcecode:: ipython
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In [7]: dview.block=False
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In [8]: dview.apply_sync(lambda x: a+b+x, 27)
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Out[8]: [42, 42, 42, 42]
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Python commands can be executed as strings on specific engines by using a View's ``execute``
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method:
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.. sourcecode:: ipython
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In [6]: rc[::2].execute('c=a+b')
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In [7]: rc[1::2].execute('c=a-b')
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In [8]: dview['c'] # shorthand for dview.pull('c', block=True)
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Out[8]: [15, -5, 15, -5]
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Non-blocking execution
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----------------------
|
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In non-blocking mode, :meth:`apply` submits the command to be executed and
|
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then returns a :class:`AsyncResult` object immediately. The
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:class:`AsyncResult` object gives you a way of getting a result at a later
|
|
|
time through its :meth:`get` method.
|
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|
.. seealso::
|
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|
|
|
Docs on the :ref:`AsyncResult <parallel_asyncresult>` object.
|
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|
|
|
This allows you to quickly submit long running commands without blocking your
|
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local Python/IPython session:
|
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|
|
|
.. sourcecode:: ipython
|
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|
|
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# define our function
|
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In [6]: def wait(t):
|
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....: import time
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....: tic = time.time()
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....: time.sleep(t)
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....: return time.time()-tic
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# In non-blocking mode
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In [7]: ar = dview.apply_async(wait, 2)
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# Now block for the result
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In [8]: ar.get()
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Out[8]: [2.0006198883056641, 1.9997570514678955, 1.9996809959411621, 2.0003249645233154]
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# Again in non-blocking mode
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In [9]: ar = dview.apply_async(wait, 10)
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# Poll to see if the result is ready
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In [10]: ar.ready()
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Out[10]: False
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# ask for the result, but wait a maximum of 1 second:
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In [45]: ar.get(1)
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---------------------------------------------------------------------------
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TimeoutError Traceback (most recent call last)
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|
/home/you/<ipython-input-45-7cd858bbb8e0> in <module>()
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----> 1 ar.get(1)
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/path/to/site-packages/IPython/parallel/asyncresult.pyc in get(self, timeout)
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62 raise self._exception
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63 else:
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---> 64 raise error.TimeoutError("Result not ready.")
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65
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66 def ready(self):
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TimeoutError: Result not ready.
|
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.. Note::
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Note the import inside the function. This is a common model, to ensure
|
|
|
that the appropriate modules are imported where the task is run. You can
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|
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also manually import modules into the engine(s) namespace(s) via
|
|
|
:meth:`view.execute('import numpy')`.
|
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|
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Often, it is desirable to wait until a set of :class:`AsyncResult` objects
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|
are done. For this, there is a the method :meth:`wait`. This method takes a
|
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tuple of :class:`AsyncResult` objects (or `msg_ids` or indices to the client's History),
|
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and blocks until all of the associated results are ready:
|
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.. sourcecode:: ipython
|
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In [72]: dview.block=False
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# A trivial list of AsyncResults objects
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In [73]: pr_list = [dview.apply_async(wait, 3) for i in range(10)]
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# Wait until all of them are done
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In [74]: dview.wait(pr_list)
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# Then, their results are ready using get() or the `.r` attribute
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In [75]: pr_list[0].get()
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Out[75]: [2.9982571601867676, 2.9982588291168213, 2.9987530708312988, 2.9990990161895752]
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The ``block`` and ``targets`` keyword arguments and attributes
|
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|
--------------------------------------------------------------
|
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Most DirectView methods (excluding :meth:`apply`) accept ``block`` and
|
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``targets`` as keyword arguments. As we have seen above, these keyword arguments control the
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blocking mode and which engines the command is applied to. The :class:`View` class also has
|
|
|
:attr:`block` and :attr:`targets` attributes that control the default behavior when the keyword
|
|
|
arguments are not provided. Thus the following logic is used for :attr:`block` and :attr:`targets`:
|
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|
|
|
|
* If no keyword argument is provided, the instance attributes are used.
|
|
|
* The Keyword arguments, if provided overrides the instance attributes for
|
|
|
the duration of a single call.
|
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|
|
|
|
The following examples demonstrate how to use the instance attributes:
|
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|
|
|
.. sourcecode:: ipython
|
|
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|
|
|
In [16]: dview.targets = [0,2]
|
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|
In [17]: dview.block = False
|
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|
In [18]: ar = dview.apply(lambda : 10)
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In [19]: ar.get()
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Out[19]: [10, 10]
|
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|
|
In [20]: dview.targets = v.client.ids # all engines (4)
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|
In [21]: dview.block = True
|
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|
|
|
In [22]: dview.apply(lambda : 42)
|
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|
Out[22]: [42, 42, 42, 42]
|
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|
|
|
The :attr:`block` and :attr:`targets` instance attributes of the
|
|
|
:class:`.DirectView` also determine the behavior of the parallel magic commands.
|
|
|
|
|
|
.. seealso::
|
|
|
|
|
|
See the documentation of the :ref:`Parallel Magics <parallel_magics>`.
|
|
|
|
|
|
|
|
|
Moving Python objects around
|
|
|
============================
|
|
|
|
|
|
In addition to calling functions and executing code on engines, you can
|
|
|
transfer Python objects to and from your IPython session and the engines. In
|
|
|
IPython, these operations are called :meth:`push` (sending an object to the
|
|
|
engines) and :meth:`pull` (getting an object from the engines).
|
|
|
|
|
|
Basic push and pull
|
|
|
-------------------
|
|
|
|
|
|
Here are some examples of how you use :meth:`push` and :meth:`pull`:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [38]: dview.push(dict(a=1.03234,b=3453))
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|
|
Out[38]: [None,None,None,None]
|
|
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|
|
|
In [39]: dview.pull('a')
|
|
|
Out[39]: [ 1.03234, 1.03234, 1.03234, 1.03234]
|
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|
|
|
In [40]: dview.pull('b', targets=0)
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Out[40]: 3453
|
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|
|
|
In [41]: dview.pull(('a','b'))
|
|
|
Out[41]: [ [1.03234, 3453], [1.03234, 3453], [1.03234, 3453], [1.03234, 3453] ]
|
|
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|
|
|
In [42]: dview.push(dict(c='speed'))
|
|
|
Out[42]: [None,None,None,None]
|
|
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|
|
|
In non-blocking mode :meth:`push` and :meth:`pull` also return
|
|
|
:class:`AsyncResult` objects:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [48]: ar = dview.pull('a', block=False)
|
|
|
|
|
|
In [49]: ar.get()
|
|
|
Out[49]: [1.03234, 1.03234, 1.03234, 1.03234]
|
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|
|
|
|
|
|
Dictionary interface
|
|
|
--------------------
|
|
|
|
|
|
Since a Python namespace is just a :class:`dict`, :class:`DirectView` objects provide
|
|
|
dictionary-style access by key and methods such as :meth:`get` and
|
|
|
:meth:`update` for convenience. This make the remote namespaces of the engines
|
|
|
appear as a local dictionary. Underneath, these methods call :meth:`apply`:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [51]: dview['a']=['foo','bar']
|
|
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|
|
|
In [52]: dview['a']
|
|
|
Out[52]: [ ['foo', 'bar'], ['foo', 'bar'], ['foo', 'bar'], ['foo', 'bar'] ]
|
|
|
|
|
|
Scatter and gather
|
|
|
------------------
|
|
|
|
|
|
Sometimes it is useful to partition a sequence and push the partitions to
|
|
|
different engines. In MPI language, this is know as scatter/gather and we
|
|
|
follow that terminology. However, it is important to remember that in
|
|
|
IPython's :class:`Client` class, :meth:`scatter` is from the
|
|
|
interactive IPython session to the engines and :meth:`gather` is from the
|
|
|
engines back to the interactive IPython session. For scatter/gather operations
|
|
|
between engines, MPI, pyzmq, or some other direct interconnect should be used.
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [58]: dview.scatter('a',range(16))
|
|
|
Out[58]: [None,None,None,None]
|
|
|
|
|
|
In [59]: dview['a']
|
|
|
Out[59]: [ [0, 1, 2, 3], [4, 5, 6, 7], [8, 9, 10, 11], [12, 13, 14, 15] ]
|
|
|
|
|
|
In [60]: dview.gather('a')
|
|
|
Out[60]: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]
|
|
|
|
|
|
Other things to look at
|
|
|
=======================
|
|
|
|
|
|
How to do parallel list comprehensions
|
|
|
--------------------------------------
|
|
|
|
|
|
In many cases list comprehensions are nicer than using the map function. While
|
|
|
we don't have fully parallel list comprehensions, it is simple to get the
|
|
|
basic effect using :meth:`scatter` and :meth:`gather`:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [66]: dview.scatter('x',range(64))
|
|
|
|
|
|
In [67]: %px y = [i**10 for i in x]
|
|
|
Parallel execution on engines: [0, 1, 2, 3]
|
|
|
|
|
|
In [68]: y = dview.gather('y')
|
|
|
|
|
|
In [69]: print y
|
|
|
[0, 1, 1024, 59049, 1048576, 9765625, 60466176, 282475249, 1073741824,...]
|
|
|
|
|
|
Remote imports
|
|
|
--------------
|
|
|
|
|
|
Sometimes you will want to import packages both in your interactive session
|
|
|
and on your remote engines. This can be done with the :class:`ContextManager`
|
|
|
created by a DirectView's :meth:`sync_imports` method:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [69]: with dview.sync_imports():
|
|
|
....: import numpy
|
|
|
importing numpy on engine(s)
|
|
|
|
|
|
Any imports made inside the block will also be performed on the view's engines.
|
|
|
sync_imports also takes a `local` boolean flag that defaults to True, which specifies
|
|
|
whether the local imports should also be performed. However, support for `local=False`
|
|
|
has not been implemented, so only packages that can be imported locally will work
|
|
|
this way.
|
|
|
|
|
|
You can also specify imports via the ``@require`` decorator. This is a decorator
|
|
|
designed for use in Dependencies, but can be used to handle remote imports as well.
|
|
|
Modules or module names passed to ``@require`` will be imported before the decorated
|
|
|
function is called. If they cannot be imported, the decorated function will never
|
|
|
execute and will fail with an UnmetDependencyError. Failures of single Engines will
|
|
|
be collected and raise a CompositeError, as demonstrated in the next section.
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [69]: from IPython.parallel import require
|
|
|
|
|
|
In [70]: @require('re'):
|
|
|
....: def findall(pat, x):
|
|
|
....: # re is guaranteed to be available
|
|
|
....: return re.findall(pat, x)
|
|
|
|
|
|
# you can also pass modules themselves, that you already have locally:
|
|
|
In [71]: @require(time):
|
|
|
....: def wait(t):
|
|
|
....: time.sleep(t)
|
|
|
....: return t
|
|
|
|
|
|
.. note::
|
|
|
|
|
|
:func:`sync_imports` does not allow ``import foo as bar`` syntax,
|
|
|
because the assignment represented by the ``as bar`` part is not
|
|
|
available to the import hook.
|
|
|
|
|
|
|
|
|
.. _parallel_exceptions:
|
|
|
|
|
|
Parallel exceptions
|
|
|
-------------------
|
|
|
|
|
|
In the multiengine interface, parallel commands can raise Python exceptions,
|
|
|
just like serial commands. But it is a little subtle, because a single
|
|
|
parallel command can actually raise multiple exceptions (one for each engine
|
|
|
the command was run on). To express this idea, we have a
|
|
|
:exc:`CompositeError` exception class that will be raised in most cases. The
|
|
|
:exc:`CompositeError` class is a special type of exception that wraps one or
|
|
|
more other types of exceptions. Here is how it works:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [78]: dview.block = True
|
|
|
|
|
|
In [79]: dview.execute("1/0")
|
|
|
[0:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[1:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[2:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[3:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
Notice how the error message printed when :exc:`CompositeError` is raised has
|
|
|
information about the individual exceptions that were raised on each engine.
|
|
|
If you want, you can even raise one of these original exceptions:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [80]: try:
|
|
|
....: dview.execute('1/0', block=True)
|
|
|
....: except parallel.error.CompositeError, e:
|
|
|
....: e.raise_exception()
|
|
|
....:
|
|
|
....:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
If you are working in IPython, you can simple type ``%debug`` after one of
|
|
|
these :exc:`CompositeError` exceptions is raised, and inspect the exception
|
|
|
instance:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [81]: dview.execute('1/0')
|
|
|
[0:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[1:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[2:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[3:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
In [82]: %debug
|
|
|
> /.../site-packages/IPython/parallel/client/asyncresult.py(125)get()
|
|
|
124 else:
|
|
|
--> 125 raise self._exception
|
|
|
126 else:
|
|
|
|
|
|
# Here, self._exception is the CompositeError instance:
|
|
|
|
|
|
ipdb> e = self._exception
|
|
|
ipdb> e
|
|
|
CompositeError(4)
|
|
|
|
|
|
# we can tab-complete on e to see available methods:
|
|
|
ipdb> e.<TAB>
|
|
|
e.args e.message e.traceback
|
|
|
e.elist e.msg
|
|
|
e.ename e.print_traceback
|
|
|
e.engine_info e.raise_exception
|
|
|
e.evalue e.render_traceback
|
|
|
|
|
|
# We can then display the individual tracebacks, if we want:
|
|
|
ipdb> e.print_traceback(1)
|
|
|
[1:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
|
|
|
All of this same error handling magic even works in non-blocking mode:
|
|
|
|
|
|
.. sourcecode:: ipython
|
|
|
|
|
|
In [83]: dview.block=False
|
|
|
|
|
|
In [84]: ar = dview.execute('1/0')
|
|
|
|
|
|
In [85]: ar.get()
|
|
|
[0:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[1:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[2:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
[3:execute]:
|
|
|
---------------------------------------------------------------------------
|
|
|
ZeroDivisionError Traceback (most recent call last)<ipython-input-1-05c9758a9c21> in <module>()
|
|
|
----> 1 1/0
|
|
|
ZeroDivisionError: integer division or modulo by zero
|
|
|
|
|
|
|
