GinacSympy: GinacSym Python Wrappers

A Cython frontend to the C++ library GinacSym (https://github.com/mithun218/ginacsym), a fast C++ symbolic manipulation library.

Introduction

GinacSym (made on GiNaC, https://ginac.de) is a fast C++ symbolic manipulation library released under GPL v2 or above. It has many features:

• It is build on C and C++ libraries: gmp,mpfr,flint,cln
• It provides fast computations for multivariate polynomial operations (expansion and factorisation) using flint library, and
• symbolic computations: solving linear or nonlinear systems of equations, simplifications, series, limit, differentiation, integration, Infinity, functions with dependend variable, real symbol,complex symbol,...
• It has many special functions which are computed using flint library.
• Linear Algebra with numerical or symbolic coefficients.
• Indexed objects, tensors, symmetrization
• Clifford algebra
• Color algebra
• and many more

GinacSympy is an interface to this library. It is built with cython.

Motivation

We are aware of the existence of the Sympy Python Library, a full computer algebra system. However, because sympy is a pure Python library (Sympy now depends on mpmath as an external library), symbolic manipulation of huge algebraic expressions is slow using it. Consequently, we have made an effort to create a computer algebra system that is both extremely fast in comparison to Sympy and quite simple to install, much like sympy.

Installation

GinacSympy releases are available as wheel packages for Windows and Linux on PyPi. Install it using pip:

python -m pip install -U pip
python -m pip install -U ginacsympy

Short usage

>>>from ginacsympy import *
>>>a,b,c,d=Ex('a,b,c,d')
>>>expr=(a+b+c+d)**5
>>>expr=expr.expand()
>>>expr.factor()
(a+b+c+d)**5
>>>from ginacsympy_abc import *
>>>(x**2*y+y*x+y*x*b+a*x+b*x**2*y).collect(lst([x,y]),True)
x**2*(1+b)*y+x*(1+b)*y+a*x

For in-depth documentation click here.