SymPy Modules Reference

Because every feature of SymPy must have a test case, when you are not sure how to use something, just look into the tests/ directories, find that feature and read the tests for it, that will tell you everything you need to know.

Most of the things are already documented though in this document, that is automatically generated using SymPy’s docstrings.

Click the “modules” (Module Index) link in the top right corner to easily access any SymPy module, or use this contens:

• SymPy Core
  • sympify
  • cache
  • basic
  • singleton
  • expr
  • Expr
  • AtomicExpr
  • symbol
  • numbers
  • power
  • mul
  • add
  • mod
  • relational
  • multidimensional
  • function
  • evalf
  • containers
  • compatibility
  • exprtools
• Combinatorics Module
  • Contents
• Number Theory
  • Ntheory Class Reference
  • Ntheory Functions Reference
• Basic Cryptography Module
• Concrete Mathematics
  • Hypergeometric terms
  • Concrete Class Reference
  • Concrete Functions Reference
• Numerical evaluation
  • Basics
  • Floating-point numbers
  • Accuracy and error handling
  • Sums and integrals
  • Numerical simplification
• Numeric Computation
  • Subs/evalf
  • Lambdify
  • uFuncify
  • Theano
  • So Which Should I Use?
• Functions Module
  • Contents
• Geometric Algebra Module
  • Geometric Algebra
  • Manifold for Geometric Algebra
  • Vector for Geometric Algebra
  • Precedence for Geometric Algebra
  • Printing for Geometric Algebra
  • Noncommutative utilities for Geometric Algebra
  • String manipulation for Geometric Algebra
  • Debug code for Geometric Algebra
• Geometry Module
  • Introduction
  • Available Entities
  • Example Usage
  • Intersection of medians
  • An in-depth example: Pappus’ Hexagon Theorem
  • Miscellaneous Notes
  • Future Work
  • API Reference
• Symbolic Integrals
  • Examples
  • Integral Transforms
  • Internals
  • API reference
  • TODO and Bugs
• Numeric Integrals
• Logic Module
  • Introduction
  • Forming logical expressions
  • Boolean functions
  • Simplification and equivalence-testing
  • Inference
• Matrices
  • Matrices (linear algebra)
  • Dense Matrices
  • Sparse Matrices
  • Immutable Matrices
  • Matrix Expressions
• Mpmath
  • Introduction
  • Basic features
  • Advanced mathematics
  • End matter
• Polynomials Manipulation Module
  • Contents
• Printing System
  • Printer Class
  • PrettyPrinter Class
  • CCodePrinter
  • Fortran Printing
  • Gtk
  • LambdaPrinter
  • LatexPrinter
  • MathMLPrinter
  • PythonPrinter
  • ReprPrinter
  • StrPrinter
  • Tree Printing
  • Preview
  • Implementation - Helper Classes/Functions
  • Pretty-Printing Implementation Helpers
  • dotprint
• Plotting Module
  • Introduction
  • Plot Class
  • Plotting Function Reference
  • Series Classes
• Pyglet Plotting Module
  • Plot Window Controls
  • Coordinate Modes
  • Specifying Intervals for Variables
  • Using the Interactive Interface
  • Using Custom Color Functions
  • Plotting Geometric Entities
• Assumptions module
  • Contents
  • Querying
  • Supported predicates
  • Design
  • Extensibility
  • Performance improvements
  • Misc
• Term rewriting
  • Expanding
  • Common Subexpression Detection and Collection
• Series Expansions
  • Limits
  • More Intuitive Series Expansion
  • Order Terms
  • Series Acceleration
  • Residues
• Sets
  • Set
  • Interval
  • FiniteSet
  • Union
  • Intersection
  • ProductSet
  • EmptySet
  • UniversalSet
  • Naturals
  • Naturals0
  • Integers
  • ImageSet
• Simplify
  • simplify
  • collect
  • separate
  • separatevars
  • nthroot
  • rad_rationalize
  • radsimp
  • ratsimp
  • fraction
  • trigsimp
  • besselsimp
  • powsimp
  • combsimp
  • hypersimp
  • hypersimilar
  • nsimplify
  • collect_sqrt
  • collect_const
  • posify
  • powdenest
  • logcombine
  • Square Root Denest
  • Common Subexpresion Elimination
  • Hypergeometric Function Expansion
  • Traversal Tools
  • EPath Tools
• Details on the Hypergeometric Function Expansion Module
  • Hypergeometric Function Expansion Algorithm
  • Meijer G-Functions of Finite Confluence
  • Extending The Hypergeometric Tables
  • Implemented Hypergeometric Formulae
  • References
• Statistics
  • Normal distributions
  • Other distributions
  • API Reference
• Stats
  • Examples
  • Random Variable Types
  • Interface
  • Mechanics
• ODE
  • User Functions
  • Hint Functions
  • Lie heuristics
  • Information on the ode module
• PDE
  • User Functions
  • Hint Methods
  • Information on the pde module
• Solvers
  • Algebraic equations
  • Ordinary Differential equations (ODEs)
  • Partial Differential Equations (PDEs)
  • Deutils (Utilities for solving ODE’s and PDE’s)
  • Recurrence Equations
  • Systems of Polynomial Equations
  • Diophantine Equations (DEs)
  • Inequalities
• Diophantine
  • Diophantine equations
  • Module structure
  • Tutorial
  • References
  • User Functions
  • Internal Functions
• Inequality Solvers
• Tensor Module
  • Contents
• Utilities
  • Autowrap Module
  • Codegen
  • Decorator
  • Enumerative
  • Iterables
  • Lambdify
  • Memoization
  • Miscellaneous
  • PKGDATA
  • pytest
  • Randomised Testing
  • Run Tests
  • Source Code Inspection
  • Timing Utilities
• Parsing input
  • Parsing Functions Reference
  • Parsing Exceptions Reference
  • Parsing Transformations Reference
• Calculus
• Physics Module
  • Contents
• Category Theory Module
  • Introduction
  • Base Class Reference
  • Diagram Drawing
• Differential Geometry Module
  • Introduction
  • Base Class Reference

Contributions to docs

All contributions are welcome. If you’d like to improve something, look into the sources if they contain the information you need (if not, please fix them), otherwise the documentation generation needs to be improved (look in the doc/ directory).