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Posted to commits@zeppelin.apache.org by mo...@apache.org on 2016/11/08 15:20:40 UTC
[3/3] zeppelin git commit: ZEPPELIN-1345 - Create a custom matplotlib
backend that natively supports inline plotting in a python interpreter cell
ZEPPELIN-1345 - Create a custom matplotlib backend that natively supports inline plotting in a python interpreter cell
### What is this PR for?
This PR is the first of two major steps needed to improve matplotlib integration in Zeppelin (ZEPPELIN-1344). The latter, which is a plotting backend with fully interactive tools enabled, will be done afterwards in a separate PR. This PR specifically for automatically displaying output from calls to matplotlib plotting functions inline with each paragraph. Thanks to the addition of post-execute hooks (ZEPPELIN-1423), there is no need to call any `show()` function to display an inline plot, just like in Jupyter.
### What type of PR is it?
Improvement
### Todos
The main code has been written and anyone who reads this is encouraged to test it, but there are a few minor todos:
- [x] - Add unit tests
- [x] - Add documentation
- [x] - Add screenshot showing iterative plotting with angular mode
### What is the Jira issue?
[ZEPPELIN-1345](https://issues.apache.org/jira/browse/ZEPPELIN-1345)
### How should this be tested?
In a pyspark or python paragraph, enter and run
``` python
import matplotlib.pyplot as plt
plt.plot([1, 2, 3])
```
The plot should be displayed automatically without calling any `show()` function whatsoever. A special method called `configure_mpl()` can also be used to modify the inline plotting behavior. For example,
``` python
z.configure_mpl(close=False, angular=True)
plt.plot([1, 2, 3])
```
allows for iterative updates to the plot provided you have PY4J installed for your python installation (which of course is always the case if you use pypsark). To clarify, this feature only currently works with pyspark (not python as there are no `angularBind()` and `angularUnbind()` methods yet). Doing something like:
```
plt.plot([3, 2, 1])
```
will update the plot that was generated by the previous paragraph by leveraging Zeppelin's Angular Display System. However, by setting `close=False`, matplotlib will no longer automatically close figures so it is now up to the user to explicitly close each figure instance they create. There's quite a bit more options for `z.configure_mpl()`, but I will save that discussion for the documentation.
### Screenshots (if appropriate)
### Questions:
- Does the licenses files need update? No
- Is there breaking changes for older versions? No
- Does this needs documentation? Yes
Author: Alex Goodman <ag...@users.noreply.github.com>
Closes #1534 from agoodm/ZEPPELIN-1345 and squashes the following commits:
9ef6ff7 [Alex Goodman] Move mpl backend files to /interpreter
24f89c6 [Alex Goodman] Catch potential NullPointerExceptions from hook registry
bdb584e [Alex Goodman] Make sure expressions are printed when no plots are shown
22b6fe4 [Alex Goodman] Remove unused variable
d3d1aa0 [Alex Goodman] Fix CI test failure
c90d204 [Alex Goodman] Update spark.md
bcf0bf3 [Alex Goodman] Update python.md for new matplotlib integration
c9b65a5 [Alex Goodman] Add iterative plotting example image
8029a05 [Alex Goodman] Update python/README.md
f2d9e86 [Alex Goodman] Exclude tests are excluded in python/pom.xml
86b1c90 [Alex Goodman] Fix tutorial notebook not loading
c37b00f [Alex Goodman] Fix legend in tutorial notebook
a321d79 [Alex Goodman] Update python.md
82350e3 [Alex Goodman] Update matplotlib tutorial notebook
9792f97 [Alex Goodman] Add unit tests
8b9b973 [Alex Goodman] Fix NullPointerExceptions in unit tests
82135ad [Alex Goodman] Removed unused variable
f9c9498 [Alex Goodman] Added support for Angular Display System
edf750a [Alex Goodman] Add new matplotlib backend for python/pyspark interpreters
Project: http://git-wip-us.apache.org/repos/asf/zeppelin/repo
Commit: http://git-wip-us.apache.org/repos/asf/zeppelin/commit/438dbca6
Tree: http://git-wip-us.apache.org/repos/asf/zeppelin/tree/438dbca6
Diff: http://git-wip-us.apache.org/repos/asf/zeppelin/diff/438dbca6
Branch: refs/heads/master
Commit: 438dbca6868f2c65a4683f1e6f6cd4dd1582967f
Parents: 3462171
Author: Alex Goodman <ag...@users.noreply.github.com>
Authored: Sat Nov 5 23:03:04 2016 -0700
Committer: Lee moon soo <mo...@apache.org>
Committed: Tue Nov 8 07:20:21 2016 -0800
----------------------------------------------------------------------
.gitignore | 4 +-
.../img/docs-img/matplotlibAngularExample.gif | Bin 0 -> 1292118 bytes
docs/interpreter/python.md | 21 +-
docs/interpreter/spark.md | 5 +
interpreter/lib/python/backend_zinline.py | 312 +++++++++
interpreter/lib/python/mpl_config.py | 95 +++
notebook/2BQA35CJZ/note.json | 271 --------
notebook/2C2AUG798/note.json | 696 +++++++++++++++++++
pom.xml | 3 +
python/README.md | 4 +-
python/pom.xml | 3 +-
.../zeppelin/python/PythonInterpreter.java | 8 +
python/src/main/resources/bootstrap.py | 39 +-
.../python/PythonInterpreterMatplotlibTest.java | 169 +++++
.../zeppelin/spark/PySparkInterpreter.java | 7 +
.../main/resources/python/zeppelin_pyspark.py | 62 +-
.../src/assemble/distribution.xml | 3 +-
17 files changed, 1419 insertions(+), 283 deletions(-)
----------------------------------------------------------------------
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/.gitignore
----------------------------------------------------------------------
diff --git a/.gitignore b/.gitignore
index 2e958f9..6352f7b 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,4 +1,5 @@
*.class
+*.pyc
# Package Files #
*.jar
@@ -6,7 +7,8 @@
*.ear
# interpreter
-/interpreter/
+/interpreter/*
+!/interpreter/lib
# interpreter temp files
spark/derby.log
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/docs/assets/themes/zeppelin/img/docs-img/matplotlibAngularExample.gif
----------------------------------------------------------------------
diff --git a/docs/assets/themes/zeppelin/img/docs-img/matplotlibAngularExample.gif b/docs/assets/themes/zeppelin/img/docs-img/matplotlibAngularExample.gif
new file mode 100644
index 0000000..4696bcf
Binary files /dev/null and b/docs/assets/themes/zeppelin/img/docs-img/matplotlibAngularExample.gif differ
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/docs/interpreter/python.md
----------------------------------------------------------------------
diff --git a/docs/interpreter/python.md b/docs/interpreter/python.md
index 1719c7d..01199be 100644
--- a/docs/interpreter/python.md
+++ b/docs/interpreter/python.md
@@ -86,9 +86,26 @@ print("".join(z.checkbox("f3", [("o1","1"), ("o2","2")],["1"])))
* Code-completion is currently not implemented.
## Matplotlib integration
- The python interpreter can display matplotlib graph with the function `z.show()`.
- You need to have matplotlib module installed and a XServer running to use this functionality!
+
+ The python interpreter can display matplotlib figures inline automatically using the `pyplot` module:
+```python
+%python
+import matplotlib.pyplot as plt
+plt.plot([1, 2, 3])
+```
+This is the recommended method for using matplotlib from within a Zeppelin notebook. The output of this command will by default be converted to HTML by implicitly making use of the `%html` magic. Additional configuration can be achieved using the builtin `z.configure_mpl()` method. For example,
+
+```python
+z.configure_mpl(width=400, height=300, fmt='svg')
+plt.plot([1, 2, 3])
+```
+
+Will produce a 400x300 image in SVG format, which by default are normally 600x400 and PNG respectively. In the future, another option called `angular` can be used to make it possible to update a plot produced from one paragraph directly from another (the output will be `%angular` instead of `%html`). However, this feature is already available in the `pyspark` interpreter. More details can be found in the included "Zeppelin Tutorial: Python - matplotlib basic" tutorial notebook.
+
+If Zeppelin cannot find the matplotlib backend files (which should usually be found in `$ZEPPELIN_HOME/interpreter/lib/python`) in your `PYTHONPATH`, then the backend will automatically be set to agg, and the (otherwise deprecated) instructions below can be used for more limited inline plotting.
+
+If you are unable to load the inline backend, use `z.show(plt)`:
```python
%python
import matplotlib.pyplot as plt
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/docs/interpreter/spark.md
----------------------------------------------------------------------
diff --git a/docs/interpreter/spark.md b/docs/interpreter/spark.md
index 035a01e..44ef4f4 100644
--- a/docs/interpreter/spark.md
+++ b/docs/interpreter/spark.md
@@ -363,6 +363,11 @@ select * from ${table=defaultTableName} where text like '%${search}%'
To learn more about dynamic form, checkout [Dynamic Form](../manual/dynamicform.html).
+## Matplotlib Integration (pyspark)
+Both the `python` and `pyspark` interpreters have built-in support for inline visualization using `matplotlib`, a popular plotting library for python. More details can be found in the [python interpreter documentation](../interpreter/python.html), since matplotlib support is identical. More advanced interactive plotting can be done with pyspark through utilizing Zeppelin's built-in [Angular Display System](../displaysystem/back-end-angular.html), as shown below:
+
+<img class="img-responsive" src="../assets/themes/zeppelin/img/docs-img/matplotlibAngularExample.gif" />
+
## Interpreter setting option
You can choose one of `shared`, `scoped` and `isolated` options wheh you configure Spark interpreter. Spark interpreter creates separated Scala compiler per each notebook but share a single SparkContext in `scoped` mode (experimental). It creates separated SparkContext per each notebook in `isolated` mode.
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/interpreter/lib/python/backend_zinline.py
----------------------------------------------------------------------
diff --git a/interpreter/lib/python/backend_zinline.py b/interpreter/lib/python/backend_zinline.py
new file mode 100644
index 0000000..c69e805
--- /dev/null
+++ b/interpreter/lib/python/backend_zinline.py
@@ -0,0 +1,312 @@
+# Licensed to the Apache Software Foundation (ASF) under one or more
+# contributor license agreements. See the NOTICE file distributed with
+# this work for additional information regarding copyright ownership.
+# The ASF licenses this file to You under the Apache License, Version 2.0
+# (the "License"); you may not use this file except in compliance with
+# the License. You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# This file provides a static (non-interactive) matplotlib plotting backend
+# for zeppelin notebooks for use with the python/pyspark interpreters
+
+from __future__ import print_function
+
+import uuid
+import warnings
+import base64
+from io import BytesIO
+try:
+ from StringIO import StringIO
+except ImportError:
+ from io import StringIO
+
+import mpl_config
+import matplotlib
+from matplotlib._pylab_helpers import Gcf
+from matplotlib.backends.backend_agg import new_figure_manager, FigureCanvasAgg
+from matplotlib.backend_bases import ShowBase, FigureManagerBase
+from matplotlib.figure import Figure
+
+########################################################################
+#
+# The following functions and classes are for pylab and implement
+# window/figure managers, etc...
+#
+########################################################################
+
+class Show(ShowBase):
+ """
+ A callable object that displays the figures to the screen. Valid kwargs
+ include figure width and height (in units supported by the div tag), block
+ (allows users to override blocking behavior regardless of whether or not
+ interactive mode is enabled, currently unused) and close (Implicitly call
+ matplotlib.pyplot.close('all') with each call to show()).
+ """
+ def __call__(self, close=None, block=None, **kwargs):
+ if close is None:
+ close = mpl_config.get('close')
+ try:
+ managers = Gcf.get_all_fig_managers()
+ if not managers:
+ return
+
+ # Tell zeppelin that the output will be html using the %html magic
+ # We want to do this only once to avoid seeing "%html" printed
+ # directly to the outout when multiple figures are displayed from
+ # one paragraph.
+ if mpl_config.get('angular'):
+ print('%angular')
+ else:
+ print('%html')
+
+ # Show all open figures
+ for manager in managers:
+ manager.show(**kwargs)
+ finally:
+ # This closes all the figures if close is set to True.
+ if close and Gcf.get_all_fig_managers():
+ Gcf.destroy_all()
+
+
+class FigureCanvasZInline(FigureCanvasAgg):
+ """
+ The canvas the figure renders into. Calls the draw and print fig
+ methods, creates the renderers, etc...
+ """
+ def get_bytes(self, **kwargs):
+ """
+ Get the byte representation of the figure.
+ Should only be used with jpg/png formats.
+ """
+ # Make sure format is correct
+ fmt = kwargs.get('format', mpl_config.get('format'))
+ if fmt == 'svg':
+ raise ValueError("get_bytes() does not support svg, use png or jpg")
+
+ # Express the image as bytes
+ buf = BytesIO()
+ self.print_figure(buf, **kwargs)
+ byte_str = b"data:image/%s;base64," %fmt
+ byte_str += base64.b64encode(buf.getvalue())
+
+ # Python3 forces all strings to default to unicode, but for raster image
+ # formats (eg png, jpg), we want to work with bytes. Thus this step is
+ # needed to ensure compatability for all python versions.
+ byte_str = byte_str.decode('ascii')
+ buf.close()
+ return byte_str
+
+ def get_svg(self, **kwargs):
+ """
+ Get the svg representation of the figure.
+ Should only be used with svg format.
+ """
+ # Make sure format is correct
+ fmt = kwargs.get('format', mpl_config.get('format'))
+ if fmt != 'svg':
+ raise ValueError("get_svg() does not support png or jpg, use svg")
+
+ # For SVG the data string has to be unicode, not bytes
+ buf = StringIO()
+ self.print_figure(buf, **kwargs)
+ svg_str = buf.getvalue()
+ buf.close()
+ return svg_str
+
+ def draw_idle(self, *args, **kwargs):
+ """
+ Called when the figure gets updated (eg through a plotting command).
+ This is overriden to allow open figures to be reshown after they
+ are updated when mpl_config.get('close') is False.
+ """
+ if not self._is_idle_drawing:
+ with self._idle_draw_cntx():
+ self.draw(*args, **kwargs)
+ draw_if_interactive()
+
+
+class FigureManagerZInline(FigureManagerBase):
+ """
+ Wrap everything up into a window for the pylab interface
+ """
+ def __init__(self, canvas, num):
+ FigureManagerBase.__init__(self, canvas, num)
+ self.fig_id = "figure_{0}".format(uuid.uuid4().hex)
+ self._shown = False
+
+ def angular_bind(self, **kwargs):
+ """
+ Bind figure data to Zeppelin's Angular Object Registry.
+ If mpl_config("angular") is True and PY4J is supported, this allows
+ for the possibility to interactively update a figure from a separate
+ paragraph without having to display it multiple times.
+ """
+ # This doesn't work for SVG so make sure it's not our format
+ fmt = kwargs.get('format', mpl_config.get('format'))
+ if fmt == 'svg':
+ return
+
+ # Get the figure data as a byte array
+ src = self.canvas.get_bytes(**kwargs)
+
+ # Flag to determine whether or not to use
+ # zeppelin's angular display system
+ angular = mpl_config.get('angular')
+
+ # ZeppelinContext instance (requires PY4J)
+ context = mpl_config.get('context')
+
+ # Finally we must ensure that automatic closing is set to False,
+ # as otherwise using the angular display system is pointless
+ close = mpl_config.get('close')
+
+ # If above conditions are met, bind the figure data to
+ # the Angular Object Registry.
+ if not close and angular:
+ if hasattr(context, 'angularBind'):
+ # Binding is performed through figure ID to ensure this works
+ # if multiple figures are open
+ context.angularBind(self.fig_id, src)
+
+ # Zeppelin will automatically replace this value even if it
+ # is updated from another pargraph thanks to the {{}} notation
+ src = "{{%s}}" %self.fig_id
+ else:
+ warnings.warn("Cannot bind figure to Angular Object Registry. "
+ "Check if PY4J is installed.")
+ return src
+
+ def angular_unbind(self):
+ """
+ Unbind figure from angular display system.
+ """
+ context = mpl_config.get('context')
+ if hasattr(context, 'angularUnbind'):
+ context.angularUnbind(self.fig_id)
+
+ def destroy(self):
+ """
+ Called when close=True or implicitly by pyplot.close().
+ Overriden to automatically clean up the angular object registry.
+ """
+ self.angular_unbind()
+
+ def show(self, **kwargs):
+ if not self._shown:
+ zdisplay(self.canvas.figure, **kwargs)
+ else:
+ self.canvas.draw_idle()
+ self.angular_bind(**kwargs)
+
+ self._shown = True
+
+
+def draw_if_interactive():
+ """
+ If interactive mode is on, this allows for updating properties of
+ the figure when each new plotting command is called.
+ """
+ manager = Gcf.get_active()
+ interactive = matplotlib.is_interactive()
+ angular = mpl_config.get('angular')
+
+ # Don't bother continuing if we aren't in interactive mode
+ # or if there are no active figures. Also pointless to continue
+ # in angular mode as we don't want to reshow the figure.
+ if not interactive or angular or manager is None:
+ return
+
+ # Allow for figure to be reshown if close is false since
+ # this function call implies that it has been updated
+ if not mpl_config.get('close'):
+ manager._shown = False
+
+
+def new_figure_manager(num, *args, **kwargs):
+ """
+ Create a new figure manager instance
+ """
+ # if a main-level app must be created, this (and
+ # new_figure_manager_given_figure) is the usual place to
+ # do it -- see backend_wx, backend_wxagg and backend_tkagg for
+ # examples. Not all GUIs require explicit instantiation of a
+ # main-level app (egg backend_gtk, backend_gtkagg) for pylab
+ FigureClass = kwargs.pop('FigureClass', Figure)
+ thisFig = FigureClass(*args, **kwargs)
+ return new_figure_manager_given_figure(num, thisFig)
+
+
+def new_figure_manager_given_figure(num, figure):
+ """
+ Create a new figure manager instance for the given figure.
+ """
+ canvas = FigureCanvasZInline(figure)
+ manager = FigureManagerZInline(canvas, num)
+ return manager
+
+
+########################################################################
+#
+# Backend specific functions
+#
+########################################################################
+
+def zdisplay(fig, **kwargs):
+ """
+ Publishes a matplotlib figure to the notebook paragraph output.
+ """
+ # kwargs can be width or height (in units supported by div tag)
+ width = kwargs.pop('width', 'auto')
+ height = kwargs.pop('height', 'auto')
+ fmt = kwargs.get('format', mpl_config.get('format'))
+
+ # Check if format is supported
+ supported_formats = mpl_config.get('supported_formats')
+ if fmt not in supported_formats:
+ raise ValueError("Unsupported format %s" %fmt)
+
+ # For SVG the data string has to be unicode, not bytes
+ if fmt == 'svg':
+ img = fig.canvas.get_svg(**kwargs)
+
+ # This is needed to ensure the SVG image is the correct size.
+ # We should find a better way to do this...
+ width = '{}px'.format(mpl_config.get('width'))
+ height = '{}px'.format(mpl_config.get('height'))
+ else:
+ # Express the image as bytes
+ src = fig.canvas.manager.angular_bind(**kwargs)
+ img = "<img src={src} style='width={width};height:{height}'>"
+ img = img.format(src=src, width=width, height=height)
+
+ # Print the image to the notebook paragraph via the %html magic
+ html = "<div style='width:{width};height:{height}'>{img}<div>"
+ print(html.format(width=width, height=height, img=img))
+
+def displayhook():
+ """
+ Called post paragraph execution if interactive mode is on
+ """
+ if matplotlib.is_interactive():
+ show()
+
+########################################################################
+#
+# Now just provide the standard names that backend.__init__ is expecting
+#
+########################################################################
+
+# Create a reference to the show function we are using. This is what actually
+# gets called by matplotlib.pyplot.show().
+show = Show()
+
+# Default FigureCanvas and FigureManager classes to use from the backend
+FigureCanvas = FigureCanvasZInline
+FigureManager = FigureManagerZInline
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/interpreter/lib/python/mpl_config.py
----------------------------------------------------------------------
diff --git a/interpreter/lib/python/mpl_config.py b/interpreter/lib/python/mpl_config.py
new file mode 100644
index 0000000..14aa60d
--- /dev/null
+++ b/interpreter/lib/python/mpl_config.py
@@ -0,0 +1,95 @@
+# Licensed to the Apache Software Foundation (ASF) under one or more
+# contributor license agreements. See the NOTICE file distributed with
+# this work for additional information regarding copyright ownership.
+# The ASF licenses this file to You under the Apache License, Version 2.0
+# (the "License"); you may not use this file except in compliance with
+# the License. You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# This module provides utitlites for users to configure the inline plotting
+# backend through a PyZeppelinContext instance (eg, through z.configure_mpl())
+
+import matplotlib
+
+def configure(**kwargs):
+ """
+ Generic configure function.
+ Usage: configure(prop1='foo', prop2='bar', ...)
+ Currently supported zeppelin-specific properties are:
+ interactive - If true show all figures without explicit call to show()
+ via a post-execute hook.
+ angular - If true, bind figures to angular display system.
+ close - If true, close all figures once shown.
+ width, height - Default width / height of the figure in pixels.
+ fontsize - Font size.
+ dpi - dpi of the figure.
+ fmt - Figure format
+ supported_formats - Supported Figure formats ()
+ context - ZeppelinContext instance (requires PY4J)
+ """
+ _config.update(**kwargs)
+
+ # Broadcast relevant changes to matplotlib RC
+ _on_config_change()
+
+
+def get(key):
+ """
+ Get the configuration info given a key
+ """
+ return _config[key]
+
+
+def _on_config_change():
+ # dpi
+ dpi = _config['dpi']
+ matplotlib.rcParams['savefig.dpi'] = dpi
+ matplotlib.rcParams['figure.dpi'] = dpi
+
+ # Width and height
+ width = float(_config['width']) / dpi
+ height = float(_config['height']) / dpi
+ matplotlib.rcParams['figure.figsize'] = (width, height)
+
+ # Font size
+ fontsize = _config['fontsize']
+ matplotlib.rcParams['font.size'] = fontsize
+
+ # Default Figure Format
+ fmt = _config['format']
+ supported_formats = _config['supported_formats']
+ if fmt not in supported_formats:
+ raise ValueError("Unsupported format %s" %fmt)
+ matplotlib.rcParams['savefig.format'] = fmt
+
+ # Interactive mode
+ interactive = _config['interactive']
+ matplotlib.interactive(interactive)
+
+
+def _init_config():
+ dpi = matplotlib.rcParams['savefig.dpi']
+ fmt = matplotlib.rcParams['savefig.format']
+ width, height = matplotlib.rcParams['figure.figsize']
+ fontsize = matplotlib.rcParams['font.size']
+ _config['dpi'] = dpi
+ _config['format'] = fmt
+ _config['width'] = width*dpi
+ _config['height'] = height*dpi
+ _config['fontsize'] = fontsize
+ _config['close'] = True
+ _config['interactive'] = matplotlib.is_interactive()
+ _config['angular'] = False
+ _config['supported_formats'] = ['png', 'jpg', 'svg']
+ _config['context'] = None
+
+
+_config = {}
+_init_config()
http://git-wip-us.apache.org/repos/asf/zeppelin/blob/438dbca6/notebook/2BQA35CJZ/note.json
----------------------------------------------------------------------
diff --git a/notebook/2BQA35CJZ/note.json b/notebook/2BQA35CJZ/note.json
deleted file mode 100644
index 5c6e751..0000000
--- a/notebook/2BQA35CJZ/note.json
+++ /dev/null
@@ -1,271 +0,0 @@
-{
- "paragraphs": [
- {
- "text": "%md\n\n### Pre-requests\nnumpy, matplotlib are installed \n\n### os x\nmake sure locale is set, to avoid `ValueError: unknown locale: UTF-8`\n\n### virtualenv\nIn case you want to use virtualenv:\n - configure python interpreter property -\u003e `absolute/path/to/venv/bin/python`\n - see *Working with Matplotlib in Virtual environments* in the [Matplotlib FAQ](http://matplotlib.org/faq/virtualenv_faq.html)",
- "dateUpdated": "Jun 22, 2016 5:31:34 AM",
- "config": {
- "colWidth": 12.0,
- "graph": {
- "mode": "table",
- "height": 300.0,
- "optionOpen": false,
- "keys": [],
- "values": [],
- "groups": [],
- "scatter": {}
- },
- "enabled": true,
- "editorMode": "ace/mode/markdown",
- "editorHide": true,
- "tableHide": false
- },
- "settings": {
- "params": {},
- "forms": {}
- },
- "apps": [],
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n\r \u003cg id\u003d\"text_2\"\u003e\n\r \u003c!-- \u22121.5 --\u003e\n\r \u003cdefs\u003e\n\r \u003cpath d\u003d\"M 12.40625 8.296875 \n\rL 28.515625 8.296875 \n\rL 28.515625 63.921875 \n\rL 10.984375 60.40625 \n\rL 10.984375 69.390625 \n\rL 28.421875 72.90625 \n\rL 38.28125 72.90625 \n\rL 38.28125 8.296875 \n\rL 54.390625 8.296875 \n\rL 54.390625 0 \n\rL 12.40625 0 \n\rz\n\r\" id\u003d\"BitstreamVeraSans-Roman-31\"/\u003e\n\r \u003cpath d\u003d\"M 10.796875 72.90625 \n\rL 49.515625 72.90625 \n\rL 49.515625 64.59375 \n\rL 19.828125 64.59375 \n\rL 19.828125 46.734375 \n\rQ 21.96875 47.46875 24.109375 47.828125 \n\rQ 26.265625 48.1875 28.421875 48.1875 \n\rQ 40.625 48.1875 47.75 41.5 \n\rQ 54.890625 34.8125 54.890625 23.390625 \n\rQ 54.890625 11.625 47.5625 5.09375 \n\rQ 40.234375 -1.421875 26.90625 -1.421875 \n\rQ 22.3125 -1.421875 17.546875 -0.640625 \n\rQ 12.796875 0.140625 7.71875 1.703125 \n\rL 7.71875 11.625 \n\rQ 12.109375 9.234375 16.796875 8.0625 \n\rQ
21.484375 6.890625 26.703125 6.890625 \n\rQ 35.15625 6.890625 40.078125 11.328125 \n\rQ 45.015625 15.765625 45.015625 23.390625 \n\rQ 45.015625 31 40.078125 35.4375 \n\rQ 35.15625 39.890625 26.703125 39.890625 \n\rQ 22.75 39.890625 18.8125 39.015625 \n\rQ 14.890625 38.140625 10.796875 36.28125 \n\rz\n\r\" id\u003d\"BitstreamVeraSans-Roman-35\"/\u003e\n\r \u003c/defs\u003e\n\r \u003cg transform\u003d\"translate(113.2303125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-2212\"/\u003e\n\r \u003cuse x\u003d\"83.7890625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-31\"/\u003e\n\r \u003cuse x\u003d\"147.412109375\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"179.19921875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-35\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_3\"\u003e\n\r \u003cg id\u003d\"line2d_6\"\u00
3e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"183.6\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_7\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"183.6\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_3\"\u003e\n\r \u003c!-- \u22121.0 --\u003e\n\r \u003cg transform\u003d\"translate(169.0303125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-2212\"/\u003e\n\r \u003cuse x\u003d\"83.7890625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-31\"/\u003e\n\r \u003cuse x\u003d\"147.412109375\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"179.19921875\" xlink:href\u003d\"#BitstreamVeraSans-Roma
n-30\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_4\"\u003e\n\r \u003cg id\u003d\"line2d_8\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"239.4\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_9\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"239.4\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_4\"\u003e\n\r \u003c!-- \u22120.5 --\u003e\n\r \u003cg transform\u003d\"translate(224.8303125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-2212\"/\u003e\n\r \u003cuse x\u003d\"83.7890625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003cuse x
\u003d\"147.412109375\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"179.19921875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-35\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_5\"\u003e\n\r \u003cg id\u003d\"line2d_10\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"295.2\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_11\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"295.2\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_5\"\u003e\n\r \u003c!-- 0.0 --\u003e\n\r \u003cg transform\u003d\"translate(285.658125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u0
03d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003cuse x\u003d\"63.623046875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"95.41015625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_6\"\u003e\n\r \u003cg id\u003d\"line2d_12\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"351.0\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_13\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"351.0\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_6\"\u003e\n\r \u003c!-- 0.5 --\u003e\n\r \u003cg transform\u003d\"translate(341.458125 401.91812
5)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003cuse x\u003d\"63.623046875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"95.41015625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-35\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_7\"\u003e\n\r \u003cg id\u003d\"line2d_14\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"406.8\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_15\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"406.8\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_7\"\u003e\n\r \u003c!-- 1.0 --\u003e\n\r
\u003cg transform\u003d\"translate(397.258125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-31\"/\u003e\n\r \u003cuse x\u003d\"63.623046875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"95.41015625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_8\"\u003e\n\r \u003cg id\u003d\"line2d_16\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"462.6\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_17\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"462.6\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg
id\u003d\"text_8\"\u003e\n\r \u003c!-- 1.5 --\u003e\n\r \u003cg transform\u003d\"translate(453.058125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-31\"/\u003e\n\r \u003cuse x\u003d\"63.623046875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"95.41015625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-35\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"xtick_9\"\u003e\n\r \u003cg id\u003d\"line2d_18\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"518.4\" xlink:href\u003d\"#m1b33711152\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_19\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"518.4\" xlink:href\u003d\"#m5ced6e031b\" y\u003d\"43.2\"/\u003e\n
\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_9\"\u003e\n\r \u003c!-- 2.0 --\u003e\n\r \u003cg transform\u003d\"translate(508.858125 401.918125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-32\"/\u003e\n\r \u003cuse x\u003d\"63.623046875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"95.41015625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"matplotlib.axis_2\"\u003e\n\r \u003cg id\u003d\"ytick_1\"\u003e\n\r \u003cg id\u003d\"line2d_20\"\u003e\n\r \u003cdefs\u003e\n\r \u003cpath d\u003d\"M 0 0 \n\rL 4 0 \n\r\" id\u003d\"m3c39fe74d7\" style\u003d\"stroke:#000000;stroke-width:0.5;\"/\u003e\n\r \u003c/defs\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"72.0
\" xlink:href\u003d\"#m3c39fe74d7\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_21\"\u003e\n\r \u003cdefs\u003e\n\r \u003cpath d\u003d\"M 0 0 \n\rL -4 0 \n\r\" id\u003d\"m4564b9459b\" style\u003d\"stroke:#000000;stroke-width:0.5;\"/\u003e\n\r \u003c/defs\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"518.4\" xlink:href\u003d\"#m4564b9459b\" y\u003d\"388.8\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_10\"\u003e\n\r \u003c!-- \u22121.0 --\u003e\n\r \u003cg transform\u003d\"translate(38.860625 392.11125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-2212\"/\u003e\n\r \u003cuse x\u003d\"83.7890625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-31\"/\u003e\n\r \u003cuse x\u003d\"147.412109375\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r
\u003cuse x\u003d\"179.19921875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"ytick_2\"\u003e\n\r \u003cg id\u003d\"line2d_22\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"72.0\" xlink:href\u003d\"#m3c39fe74d7\" y\u003d\"302.4\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_23\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"518.4\" xlink:href\u003d\"#m4564b9459b\" y\u003d\"302.4\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_11\"\u003e\n\r \u003c!-- \u22120.5 --\u003e\n\r \u003cg transform\u003d\"translate(38.860625 305.71125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-2212\"/\u003e\n\r \u003cuse x\u003d\"83.7890625\
" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003cuse x\u003d\"147.412109375\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"179.19921875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-35\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"ytick_3\"\u003e\n\r \u003cg id\u003d\"line2d_24\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"72.0\" xlink:href\u003d\"#m3c39fe74d7\" y\u003d\"216.0\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_25\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"518.4\" xlink:href\u003d\"#m4564b9459b\" y\u003d\"216.0\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_12\"\u003e\n\r \u003c!-- 0.0 --\u003e\n\r \u003cg transform\u003d\"translate(48
.91625 219.31125)scale(0.12 -0.12)\"\u003e\n\r \u003cuse xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003cuse x\u003d\"63.623046875\" xlink:href\u003d\"#BitstreamVeraSans-Roman-2e\"/\u003e\n\r \u003cuse x\u003d\"95.41015625\" xlink:href\u003d\"#BitstreamVeraSans-Roman-30\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"ytick_4\"\u003e\n\r \u003cg id\u003d\"line2d_26\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"72.0\" xlink:href\u003d\"#m3c39fe74d7\" y\u003d\"129.6\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"line2d_27\"\u003e\n\r \u003cg\u003e\n\r \u003cuse style\u003d\"stroke:#000000;stroke-width:0.5;\" x\u003d\"518.4\" xlink:href\u003d\"#m4564b9459b\" y\u003d\"129.6\"/\u003e\n\r \u003c/g\u003e\n\r \u003c/g\u003e\n\r \u003cg id\u003d\"text_13\"\u003e\n\r \u003c!--
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