emacs-ipython-notebook/tests/notebook/nbformat3/Custom Display Logic.ipynb

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{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Defining Custom Display Logic for Your Own Objects"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Overview"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In Python, objects can declare their textual representation using the `__repr__` method. IPython expands on this idea and allows objects to declare other, richer representations including:\n",
"\n",
"* HTML\n",
"* JSON\n",
"* PNG\n",
"* JPEG\n",
"* SVG\n",
"* LaTeX\n",
"\n",
"This Notebook shows how you can add custom display logic to your own classes, so that they can be displayed using these rich representations. There are two ways of accomplishing this:\n",
"\n",
"1. Implementing special display methods such as `_repr_html_`.\n",
"2. Registering a display function for a particular type.\n",
"\n",
"In this Notebook we show how both approaches work."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Parts of this notebook need the inline matplotlib backend:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Implementing special display methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The main idea of the first approach is that you have to implement special display methods, one for each representation you want to use. The names of the special methods are self explanatory:\n",
"\n",
"* `_repr_html_`\n",
"* `_repr_json_`\n",
"* `_repr_jpeg_`\n",
"* `_repr_png_`\n",
"* `_repr_svg_`\n",
"* `_repr_latex_`\n",
"\n",
"As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean and variance. Each frontend can then decide which representation it will display be default. Further, we show how to display a particular representation."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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').decode('utf-8')#.encode('utf-8')\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_latex_())\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": [
"$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$"
],
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}
],
"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": [
"from IPython.display import display"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"display(x.png)\n",
"display(x.svg)"
],
"language": "python",
"metadata": {},
"outputs": [
{
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"output_type": "display_data",
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{
"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"
],
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"metadata": {},
"outputs": [
{
"latex": [
"$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$"
],
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}
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can easily compare them by displaying their histograms"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"display(x.hist)\n",
"display(x2.hist)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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"text": [
"<IPython.core.display.Image at 0x1083d5f90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAENCAYAAAD9koUjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFy5cwMKFC1FXV4fIyEh88skn
"text": [
"<IPython.core.display.Image at 0x104eac510>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Adding IPython display support to existing objects"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When you are directly writing your own classes, you can adapt them for display in IPython by following the above example. But in practice, we often need to work with existing code we can't modify. We now illustrate how to add these kinds of extended display capabilities to existing objects. We will use the NumPy polynomials and change their default representation to be a formatted LaTeX expression."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, consider how a numpy polynomial object renders by default:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n",
"p"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we define a function that pretty-prints a polynomial as a LaTeX string:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def poly2latex(p):\n",
" terms = ['%.2g' % p.coef[0]]\n",
" if len(p) > 1:\n",
" term = 'x'\n",
" c = p.coef[1]\n",
" if c!=1:\n",
" term = ('%.2g ' % c) + term\n",
" terms.append(term)\n",
" if len(p) > 2:\n",
" for i in range(2, len(p)):\n",
" term = 'x^%d' % i\n",
" c = p.coef[i]\n",
" if c!=1:\n",
" term = ('%.2g ' % c) + term\n",
" terms.append(term)\n",
" px = '$P(x)=%s$' % '+'.join(terms)\n",
" dom = r', domain: $[%.2g,\\ %.2g]$' % tuple(p.domain)\n",
" return px+dom"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This produces, on our polynomial ``p``, the following:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"poly2latex(p)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"'$P(x)=1+2 x+3 x^2$, domain: $[-10,\\\\ 10]$'"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Latex\n",
"Latex(poly2latex(p))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"<IPython.core.display.Latex at 0x1083cbe10>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But we can configure IPython to do this automatically for us as follows. We hook into the\n",
"IPython display system and instruct it to use ``poly2latex`` for the latex mimetype, when\n",
"encountering objects of the ``Polynomial`` type defined in the\n",
"``numpy.polynomial.polynomial`` module:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ip = get_ipython()\n",
"latex_formatter = ip.display_formatter.formatters['text/latex']\n",
"latex_formatter.for_type_by_name('numpy.polynomial.polynomial',\n",
" 'Polynomial', poly2latex)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For more examples on how to use the above system, and how to bundle similar print functions\n",
"into a convenient IPython extension, see sympy's [`printing` extension](https://github.com/sympy/sympy/blob/master/sympy/interactive/printing.py).\n",
"\n",
"Once our special printer has been loaded, all polynomials will be represented by their \n",
"mathematical form instead:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n",
"p2"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$P(x)=-20+71 x+-15 x^2+x^3$, domain: $[-1,\\ 1]$"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"Polynomial([-20., 71., -15., 1.], [-1., 1.], [-1., 1.])"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"More complex display with `_ipython_display_`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Rich reprs can only display one object or mime-type at a time.\n",
"Sometimes this is not enough,\n",
"because you need to get javascript on the page, or you want LaTeX and a PNG.\n",
"This can be done with multiple calls to display easily enough,\n",
"but then users need to know more than they should.\n",
"\n",
"In **IPython 2.0**, we added a special `_ipython_display_` method,\n",
"that allows your objects to take control of displaying.\n",
"If this method is defined, IPython will call it, and make no effort to display the object itself.\n",
"It's a way for you to say \"Back off, IPython, I got this.\""
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import json\n",
"import uuid\n",
"from IPython.display import display_javascript, display_html, display\n",
"\n",
"class FlotPlot(object):\n",
" def __init__(self, x, y):\n",
" self.x = x\n",
" self.y = y\n",
" self.uuid = str(uuid.uuid4())\n",
" \n",
" def _ipython_display_(self):\n",
" json_data = json.dumps(zip(self.x, self.y))\n",
" display_html('<div id=\"{}\" style=\"height: 300px; width:80%;\"></div>'.format(self.uuid),\n",
" raw=True\n",
" )\n",
" display_javascript(\"\"\"\n",
" require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n",
" var line = JSON.parse(\"%s\");\n",
" console.log(line);\n",
" $.plot(\"#%s\", [line]);\n",
" });\n",
" \"\"\" % (json_data, self.uuid), raw=True)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"x = np.linspace(0,10)\n",
"y = np.sin(x)\n",
"FlotPlot(x, np.sin(x))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div id=\"47ba8d73-8a8b-4a34-b96b-378e969797f2\" style=\"height: 300px; width:80%;\"></div>"
],
"metadata": {},
"output_type": "display_data"
},
{
"javascript": [
"\n",
" require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n",
" var line = JSON.parse(\"[[0.0, 0.0], [0.20408163265306123, 0.20266793654820095], [0.40816326530612246, 0.39692414892492234], [0.61224489795918369, 0.57470604121617908], [0.81632653061224492, 0.72863478346935029], [1.0204081632653061, 0.85232156971961837], [1.2244897959183674, 0.94063278511248671], [1.4285714285714286, 0.98990307637212394], [1.6326530612244898, 0.99808748213471832], [1.8367346938775511, 0.96484630898376322], [2.0408163265306123, 0.89155923041100371], [2.2448979591836737, 0.7812680235262639], [2.4489795918367347, 0.63855032022660208], [2.6530612244897958, 0.46932961277720098], [2.8571428571428572, 0.28062939951435684], [3.0612244897959187, 0.080281674842813497], [3.2653061224489797, -0.12339813736217871], [3.4693877551020407, -0.32195631507261868], [3.6734693877551021, -0.50715170948451438], [3.8775510204081636, -0.67129779355193209], [4.0816326530612246, -0.80758169096833643], [4.2857142857142856, -0.91034694431078278], [4.4897959183673475, -0.97532828606704558], [4.6938775510204085, -0.99982866838408957], [4.8979591836734695, -0.98283120392563061], [5.1020408163265305, -0.92504137173820289], [5.3061224489795915, -0.82885773637304272], [5.5102040816326534, -0.69827239556539955], [5.7142857142857144, -0.53870528838615628], [5.9183673469387754, -0.35677924089893803], [6.1224489795918373, -0.16004508604325057], [6.3265306122448983, 0.043331733368683463], [6.5306122448979593, 0.24491007101197931], [6.7346938775510203, 0.43632342647181932], [6.9387755102040813, 0.6096271964908323], [7.1428571428571432, 0.75762841539272019], [7.3469387755102042, 0.87418429881973347], [7.5510204081632653, 0.95445719973875187], [7.7551020408163271, 0.99511539477766364], [7.9591836734693882, 0.99447136726361685], [8.1632653061224492, 0.95255184753146038], [8.3673469387755102, 0.87109670348232071], [8.5714285714285712, 0.75348672743963763], [8.7755102040816322, 0.60460331650615429], [8.979591836734695, 0.43062587038273736], [9.183673469387756, 0.23877531564403087], [9.387755102040817, 0.037014401485062368], [9.591836734693878, -0.16628279384875641], [9.795918367346939, -0.36267842882654883], [10.0, -0.54402111088936989]]\");\n",
" console.log(line);\n",
" $.plot(\"#47ba8d73-8a8b-4a34-b96b-378e969797f2\", [line]);\n",
" });\n",
" "
],
"metadata": {},
"output_type": "display_data"
}
],
"prompt_number": 18
}
],
"metadata": {}
}
]
}