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Bindings to the parma polyhedra library, allowing to use double description from Python

Project description

These are Python bindings to the Parma Polyhedra Library. They were extracted from the sagemath project, in order to be used in non-sage projects. Additionally, the functions to convert unlimited precision integers between python and mpz commes from gmpy2 library, which was already adapted from sagemath.

This is GPL-licensed, as is Sagemath.

To build it you need to have both the ppl and gmp libraries installed in a place where distutils can find it. Then,

python setup.py build && python setup.py install

If you have trouble, try adding the desired paths to library_dirs in setup.py as a keyword argument to the Extension constructor.

To use it, simply import the module, create a matrix of Fractions or integers, and compute the double description !

from pyparma import Polyhedron
import numpy as np
from fractions import Fraction

fractionize = np.vectorize(lambda x: Fraction(str(x)))
A = fractionize(np.random.rand(50,3))
poly = Polyhedron(hrep=A)
print poly.hrep()

Both H-representation and V-representation follow the CDD format i.e.: - H_rep = [b | A] where the polyhedron is defined by b + A x >= 0 - V_rep = [t | V] where V are the stacked vertices (Horizontal vectors) and t is the type: 1 for points, 0 for rays/lines.

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