sagemath_categories: Sage categories, basic rings, polynomials, functions¶

What is included¶

• Structure, Coercion framework, Base Classes, Metaclasses

• Categories and functorial constructions

• Sets

• Basic Combinatorial and Data Structures: Binary trees, Bitsets, Permutations, Combinations

• Basic Rings and Fields: Integers, Rationals, Double Precision Reals, Z/nZ

• Commutative Polynomials, Power Series and Laurent Series, Rational Function Fields

• Arithmetic Functions, Elementary and Special Functions as generic entry points

• Base classes for Groups, Rings, Finite Fields, Number Fields, Schemes

• Facilities for Parallel Computing, Formatted Output

Available in other distribution packages¶

• passagemath-combinat: Algebraic combinatorics, combinatorial representation theory

• passagemath-graphs: Graphs, posets, hypergraphs, designs, abstract complexes, combinatorial polyhedra, abelian sandpiles, quivers

• passagemath-groups: Groups, invariant theory

• passagemath-modules: Vectors, matrices, tensors, vector spaces, affine spaces, modules and algebras, additive groups, quadratic forms, root systems, homology, coding theory, matroids

• passagemath-plot: Plotting and graphics with Matplotlib, Three.JS, etc.

• passagemath-polyhedra: Convex polyhedra in arbitrary dimension, triangulations, polyhedral fans, lattice points, geometric complexes, hyperplane arrangements

• passagemath-repl: IPython REPL, the interactive language of Passagemath (preparser), interacts, development tools

• passagemath-schemes: Schemes, varieties, Groebner bases, elliptic curves, algebraic Riemann surfaces, modular forms, arithmetic dynamics

• passagemath-symbolics: Symbolic expressions, calculus, differentiable manifolds, asymptotics

Dependencies¶

When building from source, development packages of gmp, mpfr, and mpc are needed.

Type¶

standard

Dependencies¶

• $(PYTHON)

• $(PYTHON_TOOLCHAIN)

• cysignals: Interrupt and signal handling for Cython

• cython: C-Extensions for Python, an optimizing static compiler

• gmp: Library for arbitrary precision arithmetic

• gmpy2: Python interface to GMP/MPIR, MPFR, and MPC

• jinja2: General purpose template engine for Python

• memory_allocator: An extension class to allocate memory easily with Cython

• mpc: Arithmetic of complex numbers with arbitrarily high precision and correct rounding

• mpfr: Multiple-precision floating-point computations with correct rounding

• pkgconf: An implementation of the pkg-config spec

• pkgconfig: Python interface to pkg-config

• sage_conf: Configuration module for the Sage library

• sage-setup: Build system of the Sage library

• sagemath_environment: System and software environment

• sagemath_objects: Sage objects, elements, parents, categories, coercion, metaclasses

• setuptools: Build system for Python packages

Version Information¶

package-version.txt:

10.6.44

version_requirements.txt:

passagemath-categories ~= 10.6.44.0

Installation commands¶

$ pip install passagemath-categories~=10.6.44.0

$ sage -i sagemath_categories

However, these system packages will not be used for building Sage because spkg-configure.m4 has not been written for this package; see upstream Issue #27330 for more information.