sympycore

Package sympycore

SympyCore - An efficient pure Python Computer Algebra System.

Version: 0.1

Date: February 29, 2008

Author: Pearu Peterson, Fredrik Johansson

License: New BSD License

Submodules

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sympycore.arithmetic: Low-level arithmetics support.
- sympycore.arithmetic.evalf: Provides low-level evalf function.
- sympycore.arithmetic.infinity: Provides base class for extended numbers: Infinity.
- sympycore.arithmetic.methods: Generated arithmetic methods for numbers.
- sympycore.arithmetic.mpmath
  - sympycore.arithmetic.mpmath.apps
    - sympycore.arithmetic.mpmath.apps.extrafun: Numerical implementations of special functions (gamma, ...)
    - sympycore.arithmetic.mpmath.apps.interval: Defines mpi class for interval arithmetic.
    - sympycore.arithmetic.mpmath.apps.pidigits: Calculate digits of pi using AGM iteration.
    - sympycore.arithmetic.mpmath.apps.quad: Provides integration using quadratures.
    - sympycore.arithmetic.mpmath.apps.taylordemo: Interval arithmetic demo: estimating error of numerical Taylor series.
  - sympycore.arithmetic.mpmath.lib
    - sympycore.arithmetic.mpmath.lib.complexop: Provides various complex valued functions.
    - sympycore.arithmetic.mpmath.lib.constants: Mathematical constants
    - sympycore.arithmetic.mpmath.lib.floatop: This module implements fundamental operations for floating-point arithmetic (bit fiddling, normalization, arithmetic, ...).
    - sympycore.arithmetic.mpmath.lib.functions: Provides real valued functons.
    - sympycore.arithmetic.mpmath.lib.numerals: Provides varios conversation functions for numerals.
    - sympycore.arithmetic.mpmath.lib.squareroot: This module provides functions for computing approximate square roots (in fixed-point or floating-point form) of positive real numbers.
    - sympycore.arithmetic.mpmath.lib.util
  - sympycore.arithmetic.mpmath.mptypes: This module defines the mpf, mpc classes, and standard functions for operating with them.
- sympycore.arithmetic.number_theory: Provides algorithms from number theory.
- sympycore.arithmetic.numbers: Provides low-level numbers support.
sympycore.basealgebra: Provides classes BasicAlgebra, PrimitiveAlgebra, and CommutativeRingWithPairs.
- sympycore.basealgebra.algebra: Provides BasicAlgebra class.
- sympycore.basealgebra.pairs: Provides CommutativeRingWithPairs class.
- sympycore.basealgebra.pairs_expand: Provides the implementation of CommutativeAlgebraWithPairs.expand method.
- sympycore.basealgebra.pairs_iops: Generated low-level arithmetic inplace functions for CommutativeRingWithPairs.
- sympycore.basealgebra.pairs_ops: Generated low-level arithmetic methods for CommutativeRingWithPairs.
- sympycore.basealgebra.primitive: Provides PrimitiveAlgebra class and expression parser.
- sympycore.basealgebra.ring: Provides CommutativeRing class.
sympycore.calculus: Provides calculus support.
- sympycore.calculus.algebra: Provides Calculus class.
- sympycore.calculus.constants: Provides Constant class.
- sympycore.calculus.differentiation: Profides the implementation of differentation methods.
- sympycore.calculus.function: Provides base class to calculus functions.
- sympycore.calculus.functions: Provides calculus functions.
  - sympycore.calculus.functions.elementary: Provides elementary calculus functions sqrt, exp, log, sin, etc and constants pi, E.
- sympycore.calculus.infinity: Provides CalculusInfinity class.
- sympycore.calculus.integration: Provides the implementation of integration methods.
- sympycore.calculus.relational: Provides some basic implementation of assumptions support.
sympycore.core: Provides Basic class and classes object.
sympycore.matrices: Provides matrix support.
- sympycore.matrices.algebra: Provides MatrixRing, SquareMatrix, PermutationMatrix classes.
sympycore.physics: Provides physics support.
- sympycore.physics.units: Provides Unit class.
sympycore.polynomials: Provides polynomial support.
- sympycore.polynomials.algebra: Provides PolynomialRing class.
- sympycore.polynomials.univariate: Provides UnivariatePolynomial class.
sympycore.utils: Provides various implementation specific constants.

Functions

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profile_expr(expr)
Printout the profiler information for executing expr. source code

Variables

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E = Calculus('E')

I = Calculus('I')

classes = Holder('Sympy Basic subclass holder (10 classes)')

kilogram = Unit('kg')

meter = Unit('m')

moo = CalculusInfinity(-1)

oo = CalculusInfinity(1)

pi = Calculus('pi')

second = Unit('s')

undefined = CalculusInfinity(0)

zoo = CalculusInfinity(CalculusInfinity(0))