## What is pyIbex

#### pyIbexpyibex is set of python modules for solving nonlinear problems using Interval Arithmetic tools. It provides high-level functionalities such as Contractors and Separators programming. Initially based on the core part of Ibex-lib, it aims at combining the flexibility of python with the speed of C++ algorithms. ## Quick Install

To install pyibex enter in a terminal :

`\$ python -m pip install pyibex`

## Note

To drawn results, we encourage to use VIBes-viewer which provides a simple and fast GUI tool for people working with intervals. The last releases for Window, OSX, and Linux are available here. Do not forget to install the python interface with

`\$ python -m pip install vibes`

The documentation and a quick introduction can be found here.

### Example : set inversion of a non linear function.

Copy the code on the right into "example.py" and enter in a terminal:

```# launch before vibes viewer
\$ python ./example.py```

You should get this figure which corresponds to set of all (x,y) such as f(x,y) < 0

```from pyibex import *
from vibes import vibes
# define the function (x,y) -> sin(x+y)
f = Function('x', 'y', 'x*cos(x-y)+y')
# build the Forward / backward separator f(x,y) < 0
sep = SepFwdBwd(f, [-oo, 0])
# define the initial domain [-10,10]x[-10,10]
X0 = IntervalVector(2, [-10, 10] )
#initialize vibes display
vibes.beginDrawing()
# run the set inversion algorithm
pySIVIA(X0, sep, 0.1)
vibes.endDrawing()
```

## Next Step ### Learn intervals with IAMOOC

a free MOOC focused on Interval Analysis with application to parameter estimation, robot localization and SLAM