PARI/GP – computer algebra system

PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves…), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions.

It is somewhat related to a Computer Algebra System, but in some respects it diverges from a traditional algebra system as it treats symbolic expressions as mathematical entities such as matrices, polynomials, series, etc., and not as expressions. However it is often much faster than other CAS, and contains a large number of specific functions not found elsewhere, essentially for use in number theory.

PARI is also available as a C library to allow for faster computations.

Features include:

  • Includes:
    • PARI – a C library, allowing fast computations.
    • gp – an interactive shell giving access to PARI functions, much easier to use. It functions as a sophisticated programmable calculator which contains most of the control instructions of a standard language like C.
    • GP – scripting language.
    • gp2c – GP-to-C compiler. It compiles GP scripts to the C language, easing the task of writing PARI programs.
  • Computes factorizations.
  • Performs elliptic curve computations.
  • Performs algebraic number theory calculations.
  • Allows computations with matrices, polynomials, power series, algebraic numbers and implements many special functions.

Support: Documentation, FAQ, Mailing Lists
Developer: Henri Cohen, Karim Belabas, and others, at the Université Bordeaux
License: GNU General Public License v2.0

PARI/GP is written in C. Learn C with our recommended free books and free tutorials.

Return to Scientific | Return to Computer Algebra Systems

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