tchaumeny / PyPoly

A Python extension written in C, implementing the Polynomial type.
MIT License
5 stars 3 forks source link

========================== pypoly: Python Polynomials

A Python extension I wrote to learn the Python C API_. It defines the Polynomial type and some common operations.

.. _Python C API: https://docs.python.org/c-api/

Installation

Installation from source::

$ python setup.py install

Or, using pip_::

$ pip install PyPolynomial

.. _pip: http://www.pip-installer.org

Usage

Instanciating a polynomial:

.. code-block:: python

>>> from pypoly import Polynomial
>>> P = Polynomial(-1, 0, complex(1, 3))
>>> P
-1 + (1+3j) * X**2
>>> P.degree
2

Or:

.. code-block:: python

>>> from pypoly import X
>>> P = (X - 1) * (X**2 + 2)
>>> P
-2 + 2 * X - X**2 + X**3

Operations on polynomials:

.. code-block:: python

>>> Polynomial(-1, -1) * Polynomial(2, -3)
-2 + X + 3 * X**2
>>> P = Polynomial(1, 2, 3)
>>> P(13)
534.0
>>> (1 + X + X**2) // (1 + X)
X
>>> (2 * X + 3 * X**2 + X**5 + X**7) % (X**2 + 1)
-3 + 2 * X

Even more:

.. code-block:: python

>>> (1 + X**3 - 2 * X**5) >> 2      # Second derivative
6 * X - 40 * X**3
>>> (1 + 2 * X) << 1                # Primitive integral
X + X**2
>>> from pypoly import gcd
>>> gcd(X**6 - 1, X**12 - 1, X**9 - 1)
-1 + X**3

Links

PyPoly tracker_ (bugs, feature requests, etc.)

Project page on PyPI_

Project page on GitHub_ |buildstatus|

.. _PyPoly tracker: https://github.com/tchaumeny/PyPoly/issues/

.. _Project page on PyPI: https://pypi.python.org/pypi/PyPolynomial

.. _Project page on GitHub: https://github.com/tchaumeny/PyPoly

.. |buildstatus| image:: https://travis-ci.org/tchaumeny/PyPoly.png :alt: Build Status :target: https://travis-ci.org/tchaumeny/PyPoly