SymPy

Python library for symbolic computation From Wikipedia, the free encyclopedia

SymPy

SymPy is an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live[2] or SymPy Gamma.[3] SymPy is simple to install and to inspect because it is written entirely in Python with few dependencies.[4][5][6] This ease of access combined with a simple and extensible code base in a well known language make SymPy a computer algebra system with a relatively low barrier to entry.

Quick Facts Developer(s), Initial release ...
SymPy
Developer(s)SymPy Development Team
Initial release2007; 18 years ago (2007)
Stable release
1.13.3[1] / 18 September 2024; 7 months ago (2024-09-18)
Repository
Written inPython
Operating systemCross-platform
TypeComputer algebra system
License3-clause BSD
Websitewww.sympy.org 
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SymPy includes features ranging from basic symbolic arithmetic to calculus, algebra, discrete mathematics, and quantum physics. It is capable of formatting the result of the computations as LaTeX code.[4][5]

SymPy is free software and is licensed under the 3-clause BSD. The lead developers are Ondřej Čertík and Aaron Meurer. It was started in 2005 by Ondřej Čertík.[7]

Features

Summarize
Perspective

The SymPy library is split into a core with many optional modules.

Currently, the core of SymPy has around 260,000 lines of code[8] (it also includes a comprehensive set of self-tests: over 100,000 lines in 350 files as of version 0.7.5), and its capabilities include:[4][5][9][10][11]

Core capabilities

Polynomials

Calculus

Solving equations

Discrete math

Matrices

Geometry

Plotting

Note, plotting requires the external Matplotlib or Pyglet module.

  • Coordinate models
  • Plotting Geometric Entities
  • 2D and 3D
  • Interactive interface
  • Colors
  • Animations

Physics

Statistics

Combinatorics

Printing

  • SageMath: an open source alternative to Mathematica, Maple, MATLAB, and Magma (SymPy is included in Sage)
  • SymEngine: a rewriting of SymPy's core in C++, in order to increase its performance. Work is currently in progress[as of?] to make SymEngine the underlying engine of Sage too.[14]
  • mpmath: a Python library for arbitrary-precision floating-point arithmetic[15]
  • SympyCore: another Python computer algebra system[16]
  • SfePy: Software for solving systems of coupled partial differential equations (PDEs) by the finite element method in 1D, 2D and 3D.[17]
  • GAlgebra: Geometric algebra module (previously sympy.galgebra).[18]
  • Quameon: Quantum Monte Carlo in Python.[19]
  • Lcapy: Experimental Python package for teaching linear circuit analysis.[20]
  • LaTeX Expression project: Easy LaTeX typesetting of algebraic expressions in symbolic form with automatic substitution and result computation.[21]
  • Symbolic statistical modeling: Adding statistical operations to complex physical models.[22]
  • Diofant: a fork of SymPy, started by Sergey B Kirpichev[23]

Dependencies

Since version 1.0, SymPy has the mpmath package as a dependency.

There are several optional dependencies that can enhance its capabilities:

  • gmpy: If gmpy is installed, SymPy's polynomial module will automatically use it for faster ground types. This can provide a several times boost in performance of certain operations.
  • matplotlib: If matplotlib is installed, SymPy can use it for plotting.
  • Pyglet: Alternative plotting package.

See also

References

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