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fperez/display_protocol.ipynb

Created September 25, 2012 21:38
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IPython display protocol - fully rendered version of our shipped example.
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display_protocol.ipynb
{
"metadata": {
"name": "display_protocol"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Using the IPython display protocol for your own objects"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"IPython extends the idea of the ``__repr__`` method in Python to support multiple representations for a given\n",
"object, which clients can use to display the object according to their capabilities. An object can return multiple\n",
"representations of itself by implementing special methods, and you can also define at runtime custom display \n",
"functions for existing objects whose methods you can't or won't modify. In this notebook, we show how both approaches work.\n",
"\n",
"<br/>\n",
"**Note:** this notebook has had all output cells stripped out so we can include it in the IPython documentation with \n",
"a minimal file size. You'll need to manually execute the cells to see the output (you can run all of them with the \n",
"\"Run All\" button, or execute each individually)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Parts of this notebook need the inline matplotlib backend:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
"For more information, type 'help(pylab)'.\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Custom-built classes with dedicated ``_repr_*_`` methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In our first example, we illustrate how objects can expose directly to IPython special representations of\n",
"themselves, by providing methods such as ``_repr_svg_``, ``_repr_png_``, ``_repr_latex_``, etc. For a full\n",
"list of the special ``_repr_*_`` methods supported, see the code in ``IPython.core.displaypub``.\n",
"\n",
"As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean \n",
"and variance. The class can display itself in a variety of ways: as a LaTeX expression or as an image in PNG or SVG \n",
"format. Each frontend can then decide which representation it can handle.\n",
"Further, we illustrate how to expose directly to the user the ability to directly access the various alternate \n",
"representations (since by default displaying the object itself will only show one, and which is shown will depend on the \n",
"required representations that even cache necessary data in cases where it may be expensive to compute.\n",
"\n",
"The next cell defines the Gaussian class:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.core.pylabtools import print_figure\n",
"from IPython.display import Image, SVG, Math\n",
"\n",
"class Gaussian(object):\n",
" \"\"\"A simple object holding data sampled from a Gaussian distribution.\n",
" \"\"\"\n",
" def __init__(self, mean=0, std=1, size=1000):\n",
" self.data = np.random.normal(mean, std, size)\n",
" self.mean = mean\n",
" self.std = std\n",
" self.size = size\n",
" # For caching plots that may be expensive to compute\n",
" self._png_data = None\n",
" self._svg_data = None\n",
" \n",
" def _figure_data(self, format):\n",
" fig, ax = plt.subplots()\n",
" ax.plot(self.data, 'o')\n",
" ax.set_title(self._repr_latex_())\n",
" data = print_figure(fig, format)\n",
" # We MUST close the figure, otherwise IPython's display machinery\n",
" # will pick it up and send it as output, resulting in a double display\n",
" plt.close(fig)\n",
" return data\n",
" \n",
" # Here we define the special repr methods that provide the IPython display protocol\n",
" # Note that for the two figures, we cache the figure data once computed.\n",
" \n",
" def _repr_png_(self):\n",
" if self._png_data is None:\n",
" self._png_data = self._figure_data('png')\n",
" return self._png_data\n",
"\n",
"\n",
" def _repr_svg_(self):\n",
" if self._svg_data is None:\n",
" self._svg_data = self._figure_data('svg')\n",
" return self._svg_data\n",
" \n",
" def _repr_latex_(self):\n",
" return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n",
" self.std, self.size)\n",
" \n",
" # We expose as properties some of the above reprs, so that the user can see them\n",
" # directly (since otherwise the client dictates which one it shows by default)\n",
" @property\n",
" def png(self):\n",
" return Image(self._repr_png_(), embed=True)\n",
" \n",
" @property\n",
" def svg(self):\n",
" return SVG(self._repr_svg_())\n",
" \n",
" @property\n",
" def latex(self):\n",
" return Math(self._repr_svg_())\n",
" \n",
" # An example of using a property to display rich information, in this case\n",
" # the histogram of the distribution. We've hardcoded the format to be png\n",
" # in this case, but in production code it would be trivial to make it an option\n",
" @property\n",
" def hist(self):\n",
" fig, ax = plt.subplots()\n",
" ax.hist(self.data, bins=100)\n",
" ax.set_title(self._repr_latex_())\n",
" data = print_figure(fig, 'png')\n",
" plt.close(fig)\n",
" return Image(data, embed=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we create an instance of the Gaussian distribution, whose default representation will be its LaTeX form:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = Gaussian()\n",
"x"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$"
],
"output_type": "pyout",
"png": 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tuOrKPtLgAevyiFbmKW5O0/MM5eXNsx0XJ45sJzLLqdnOA9EsIenO2Orq6tjf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\n0pgNyLNyn4DZrseO0MrKBmsFqmV+Ds5yKt5b1BB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tuOrKPtLgAevyiFbmKW5O0/MM5eXNsx0XJ45sJzLLqdnOA9EsIenO2Orq6tjf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\n0pgNyLNyn4DZrseO0MrKBmsFqmV+Ds5yKt5b1BB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HkJqairKysoh7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\n",
"prompt_number": 4,
"text": [
"<IPython.core.display.Image at 0x38fb290>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x.svg"
],
"language": "python",
"metadata": {},
"outputs": [
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" <defs>\n",
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"</svg>"
],
"text": [
"<IPython.core.display.SVG at 0x38fbbd0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since IPython only displays by default as an ``Out[]`` cell the result of the last computation, we can use the\n",
"``display()`` function to show more than one representation in a single cell:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"display(x.png)\n",
"display(x.svg)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
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tuOrKPtLgAevyiFbmKW5O0/MM5eXNsx0XJ45sJzLLqdnOA9EsIenO2Orq6tjf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\n0pgNyLNyn4DZrseO0MrKBmsFqmV+Ds5yKt5b1BB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"text": [
"<IPython.core.display.Image at 0x390ff50>"
]
},
{
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"text": [
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]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's create a new Gaussian with different parameters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x2 = Gaussian(0.5, 0.2, 2000)\n",
"x2"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$"
],
"output_type": "pyout",
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PDd8fOXKESZMmUVlZSXNzMz/60Y948MEHA5YX6gAO1mHGjhJ0UUjyf19c/Dor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w/gTfj9HyAzc7ANyyzD7t2EDCILYjpkMXjyu8bh1Gq2YtiwI+jo4LEEtfDNqVOHcODAR7CsIRCb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\nrLy8Oew38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