IPython extends the idea of the `__repr__`

method in Python to support multiple representations for a given
object, which clients can use to display the object according to their capabilities. An object can return multiple
representations of itself by implementing special methods, and you can also define at runtime custom display
functions for existing objects whose methods you can't or won't modify. In this notebook, we show how both approaches work.

**Note:** this notebook has had all output cells stripped out so we can include it in the IPython documentation with
a minimal file size. You'll need to manually execute the cells to see the output (you can run all of them with the
"Run All" button, or execute each individually).

Parts of this notebook need the inline matplotlib backend:

```
In [ ]:
```%pylab inline

In our first example, we illustrate how objects can expose directly to IPython special representations of
themselves, by providing methods such as `_repr_svg_`

, `_repr_png_`

, `_repr_latex_`

, etc. For a full
list of the special `_repr_*_`

methods supported, see the code in `IPython.core.displaypub`

.

As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean and variance. The class can display itself in a variety of ways: as a LaTeX expression or as an image in PNG or SVG format. Each frontend can then decide which representation it can handle. Further, we illustrate how to expose directly to the user the ability to directly access the various alternate representations (since by default displaying the object itself will only show one, and which is shown will depend on the required representations that even cache necessary data in cases where it may be expensive to compute.

The next cell defines the Gaussian class:

```
In [ ]:
```from IPython.core.pylabtools import print_figure
from IPython.display import Image, SVG, Math
class Gaussian(object):
"""A simple object holding data sampled from a Gaussian distribution.
"""
def __init__(self, mean=0, std=1, size=1000):
self.data = np.random.normal(mean, std, size)
self.mean = mean
self.std = std
self.size = size
# For caching plots that may be expensive to compute
self._png_data = None
self._svg_data = None
def _figure_data(self, format):
fig, ax = plt.subplots()
ax.plot(self.data, 'o')
ax.set_title(self._repr_latex_())
data = print_figure(fig, format)
# We MUST close the figure, otherwise IPython's display machinery
# will pick it up and send it as output, resulting in a double display
plt.close(fig)
return data
# Here we define the special repr methods that provide the IPython display protocol
# Note that for the two figures, we cache the figure data once computed.
def _repr_png_(self):
if self._png_data is None:
self._png_data = self._figure_data('png')
return self._png_data
def _repr_svg_(self):
if self._svg_data is None:
self._svg_data = self._figure_data('svg')
return self._svg_data
def _repr_latex_(self):
return r'$\mathcal{N}(\mu=%.2g, \sigma=%.2g),\ N=%d$' % (self.mean,
self.std, self.size)
# We expose as properties some of the above reprs, so that the user can see them
# directly (since otherwise the client dictates which one it shows by default)
@property
def png(self):
return Image(self._repr_png_(), embed=True)
@property
def svg(self):
return SVG(self._repr_svg_())
@property
def latex(self):
return Math(self._repr_svg_())
# An example of using a property to display rich information, in this case
# the histogram of the distribution. We've hardcoded the format to be png
# in this case, but in production code it would be trivial to make it an option
@property
def hist(self):
fig, ax = plt.subplots()
ax.hist(self.data, bins=100)
ax.set_title(self._repr_latex_())
data = print_figure(fig, 'png')
plt.close(fig)
return Image(data, embed=True)

```
In [ ]:
```x = Gaussian()
x

We can view the data in png or svg formats:

```
In [ ]:
```x.png

```
In [ ]:
```x.svg

`Out[]`

cell the result of the last computation, we can use the
`display()`

function to show more than one representation in a single cell:

```
In [ ]:
```display(x.png)
display(x.svg)

Now let's create a new Gaussian with different parameters

```
In [ ]:
```x2 = Gaussian(0.5, 0.2, 2000)
x2

We can easily compare them by displaying their histograms

```
In [ ]:
```display(x.hist)
display(x2.hist)

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.

First, consider how a numpy polynomial object renders by default:

```
In [ ]:
```p = np.polynomial.Polynomial([1,2,3], [-10, 10])
p

Next, we define a function that pretty-prints a polynomial as a LaTeX string:

```
In [ ]:
```def poly2latex(p):
terms = ['%.2g' % p.coef[0]]
if len(p) > 1:
term = 'x'
c = p.coef[1]
if c!=1:
term = ('%.2g ' % c) + term
terms.append(term)
if len(p) > 2:
for i in range(2, len(p)):
term = 'x^%d' % i
c = p.coef[i]
if c!=1:
term = ('%.2g ' % c) + term
terms.append(term)
px = '$P(x)=%s$' % '+'.join(terms)
dom = r', domain: $[%.2g,\ %.2g]$' % tuple(p.domain)
return px+dom

This produces, on our polynomial `p`

, the following:

```
In [ ]:
```poly2latex(p)

```
In [ ]:
```from IPython.display import Latex
Latex(poly2latex(p))

`poly2latex`

for the latex mimetype, when
encountering objects of the `Polynomial`

type defined in the
`numpy.polynomial.polynomial`

module:

```
In [ ]:
```ip = get_ipython()
latex_formatter = ip.display_formatter.formatters['text/latex']
latex_formatter.for_type_by_name('numpy.polynomial.polynomial',
'Polynomial', poly2latex)

For more examples on how to use the above system, and how to bundle similar print functions
into a convenient IPython extension, see the `IPython/extensions/sympyprinting.py`

file.

The machinery that defines the display system is in the `display.py`

and `displaypub.py`

files in `IPython/core`

.

Once our special printer has been loaded, all polynomials will be represented by their mathematical form instead:

```
In [ ]:
``````
p
```

```
In [ ]:
```p2 = np.polynomial.Polynomial([-20, 71, -15, 1])
p2