Basic Structures

Sage Objects

• Abstract base class for Sage objects
• Base class for objects of a category
• (Algebraic) generators of a Sage object

Parents

Parents

• Base class for parent objects
• Indexed Generators
• Precision management for non-exact objects
• Global options

Old-Style Parents (Deprecated)

• Base class for old-style parent objects
• Base class for old-style parent objects with a base ring
• Base class for old-style parent objects with generators
• Pure python code for abstract base class for objects with generators

Elements

• Elements
• Element Wrapper
• Elements, Array and Lists With Clone Protocol
• Elements, Array and Lists With Clone Protocol, demonstration classes

“Mathematical” Data Structures

• Formal sums
• Factorizations
• IntegerFactorization objects
• Finite Homogenous Sequences
• Cartesian products
• Families
• Sets
• Disjoint-set data structure
• Disjoint union of enumerated sets
• Enumerated set from iterator
• Finite Enumerated Sets
• Recursively enumerated set
• Maps between finite sets
• Data structures for maps between finite sets
• Totally Ordered Finite Sets

Sets

• Integer Range
• Positive Integers
• Non Negative Integers
• The set of prime numbers
• Subsets of the Real Line

Use of Heuristic and Probabilistic Algorithms

• Global proof preferences
• Whether or not computations are provably correct by default

Utilities

• Unique Representation
• Factory for cached representations
• Dynamic classes
• Mutability Cython Implementation
• Containers for storing coercion data
• Exceptions raised by the coercion model

Internals

• Debug options for the sage.structure modules
• Performance Test for Clone Protocol
• Cython Functions for Timing Clone Protocol
• Miscellaneous utilities
• Test of the factory module

Indices and Tables

• Index
• Module Index
• Search Page