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  "name": ""
 },
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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": [
        "$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$"
       ],
       "metadata": {},
       "output_type": "pyout",
       "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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       "text": [
        "<__main__.Gaussian at 0x111bbe5d0>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can view the data in png or svg formats:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x.png"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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       "prompt_number": 4,
       "text": [
        "<IPython.core.display.Image at 0x111be7bd0>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x.svg"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "svg": [
        "<svg height=\"393pt\" version=\"1.1\" viewBox=\"0 0 602 393\" width=\"602pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
        " <defs>\n",
        "  <style type=\"text/css\">\n",
        "*{stroke-linecap:square;stroke-linejoin:round;}\n",
        "  </style>\n",
        " </defs>\n",
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\" M0 393.72 L602.015 393.72 L602.015 0 L0 0 z \" style=\"fill:#ffffff;\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
        "    <path d=\" M25.3653 369.037 L583.365 369.037 L583.365 24.174 L25.3653 24.174 z \" style=\"fill:#eeeeee;\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
        "       <path d=\" M0 0 L0 -6\" id=\"m85b803ae8d\" style=\"stroke:#555555;stroke-linecap:butt;stroke-width:0.5;\"/>\n",
        "      </defs>\n",
        "      <g>\n",
        "       <use style=\"fill:#555555;stroke:#555555;stroke-linecap:butt;stroke-width:0.5;\" x=\"25.3653125\" xlink:href=\"#m85b803ae8d\" y=\"369.037015722\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"line2d_2\">\n",
        "      <defs>\n",
        "       <path d=\" M0 0 L0 6\" id=\"mcbf775a035\" style=\"stroke:#555555;stroke-linecap:butt;stroke-width:0.5;\"/>\n",
        "      </defs>\n",
        "      <g>\n",
        "       <use style=\"fill:#555555;stroke:#555555;stroke-linecap:butt;stroke-width:0.5;\" x=\"25.3653125\" xlink:href=\"#mcbf775a035\" y=\"24.17405\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- 0 -->\n",
        "      <defs>\n",
        "       <path d=\" M27.7969 65.4062 Q22 65.4062 18.6406 62.2969 Q15.2969 59.2031 13.5938 54.5938 Q11.9062 50 11.4531 44.7969 Q11 39.5938 11 35.4062 Q11 31.2031 11.4531 26 Q11.9062 20.7969 13.5938 16.1875 Q15.2969 11.5938 18.6406 8.5 Q22 5.40625 27.7969 5.40625 Q33.5938 5.40625 36.9375 8.5 Q40.2969 11.5938 42 16.1875 Q43.7031 20.7969 44.1406 26 Q44.5938 31.2031 44.5938 35.4062 Q44.5938 39.5938 44.1406 44.7969 Q43.7031 50 42 54.5938 Q40.2969 59.2031 36.9375 62.2969 Q33.5938 65.4062 27.7969 65.4062 M27.7969 72 Q35.4062 72 40.0938 68.5 Q44.7969 65 47.3906 59.5938 Q50 54.2031 50.8906 47.75 Q51.7969 41.2969 51.7969 35.4062 Q51.7969 29.5 50.8906 23.0469 Q50 16.5938 47.3906 11.1875 Q44.7969 5.79688 40.0938 2.29688 Q35.4062 -1.20312 27.7969 -1.20312 Q20.2031 -1.20312 15.5 2.29688 Q10.7969 5.79688 8.1875 11.1875 Q5.59375 16.5938 4.6875 23.0469 Q3.79688 29.5 3.79688 35.4062 Q3.79688 41.2969 4.6875 47.75 Q5.59375 54.2031 8.1875 59.5938 Q10.7969 65 15.5 68.5 Q20.2031 72 27.7969 72\" id=\"Avenir-Book-30\"/>\n",
        "      </defs>\n",
        "      <g style=\"fill:#555555;\" transform=\"translate(22.7253125 383.352328222)scale(0.11 -0.11)\">\n",
        "       <use xlink:href=\"#Avenir-Book-30\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
        "       <use style=\"fill:#555555;stroke:#555555;stroke-linecap:butt;stroke-width:0.5;\" x=\"136.9653125\" xlink:href=\"#m85b803ae8d\" y=\"369.037015722\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
        "       <use style=\"fill:#555555;stroke:#555555;stroke-linecap:butt;stroke-width:0.5;\" x=\"136.9653125\" xlink:href=\"#mcbf775a035\" y=\"24.17405\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
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       "text": [
        "<IPython.core.display.SVG at 0x111be7b50>"
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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": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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     "prompt_number": 7
    },
    {
     "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": [
        "$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$"
       ],
       "metadata": {},
       "output_type": "pyout",
       "png": 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VidGwmvTum4mUnuegfP1baK7+GbGJSTjnL7MAAK1B2lu4uggx6QO559WrTIXb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\n0hIqpXEv4vusGCC8Ic6PRdFg6Dm644VqqmKKx6vun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SuU1wuI1Ec9cPFYrDkxEL0a98U5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\n+f6l2rufzsSzPqUvjTG/rHSdDlZeu5X97Kb2om3J9vol+/xWSMWJU2UgJ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       ],
       "text": [
        "<__main__.Gaussian at 0x111bd3910>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "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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wRIACAAAwVO9v4b3zzjs6dOiQ7Ha7kpOTNWLECOXn52vLli2yWq1KSEjQlClTAlErAABA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\nkHruEt9371YAAAAASUVORK5CYII=\n",
       "text": [
        "<IPython.core.display.Image at 0x111d88b50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VbAL6tMKcBFUDoDOLeMhv9erV+v73v6+tW7fK5XLJZrNJkgoLC1VTUxOzAgEAAJJdRIHq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\nosd6xwAAAABJRU5ErkJggg==\n",
       "text": [
        "<IPython.core.display.Image at 0x111b2fb90>"
       ]
      }
     ],
     "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 0x111bd19d0>"
       ]
      }
     ],
     "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
    }
   ],
   "metadata": {}
  }
 ]
}