## mvpoly

A library for numerical calculations with multivariate polynomials. This Python script confirms Eulerâ€™s four-square identity (in 0.02 seconds):

```
import time
from mvpoly.dict import *
t0 = time.time()
a1, a2, a3, a4, b1, b2, b3, b4 = MVPolyDict.variables(8)
p = (a1**2 + a2**2 + a3**2 + a4**2) * (b1**2 + b2**2 + b3**2 + b4**2)
q = (a1*b1 - a2*b2 - a3*b3 - a4*b4)**2 + \
(a1*b2 + a2*b1 + a3*b4 - a4*b3)**2 + \
(a1*b3 - a2*b4 + a3*b1 + a4*b2)**2 + \
(a1*b4 + a2*b3 - a3*b2 + a4*b1)**2
assert p == q, "failed Euler-Goldbach"
t1 = time.time()
print("%8.6f" % (t1 - t0))
```

The Octave package can be installed using the command

```
sudo octave --eval "pkg install mvpoly-octave-0.97.8.tar.gz"
```

For the Matlab package, see the included README for installation instructions.

A Python module can be found on PyPI and the documentation here. It can be installed with

```
sudo pip install mvpoly
```

The package source can be found on the GitLab page.