A Python implementation of the pairing function that Georg Cantor used in 1873 to prove that the sets of natural, integer and rational numbers have the same cardinality.

#### PREREQUISITES

- Python 2 or 3
- pip

#### INSTALL

```
pip install cantor
```

#### USAGE

```
from cantor import *
# use function q_encode to map a value in Q (a pair) to one in N
q_encode(-12, 34) # returns 4255
# use function q_decode for the inverse transformation
q_decode(4255) # returns (-12, 34)
# use function z_encode to map a value in Z to one in N
z_encode(0) # returns 1
z_encode(-1234) # returns 2648
# use function z_decode for the inverse transformation
z_decode(1) # returns 0
z_decode(2648) # returns -1234
```

#### TEST

```
python test.py
```