The.Algorithm.Design.Manual.Springer-Verlag.1998

PARI - Package for Number Theory
PARI - Package for Number Theory
PARI is a system capable of handling complex number-theoretic and algebraic problems. The predefined
types are integers (up to 300000 decimal digits), reals (same for the relative precision), elements of Z/nZ,
rational numbers, complex numbers, p-adic numbers, quadratic numbers, polynomials, power series,
algebraic extensions, rational functions, binary quadratic forms, vectors, matrices.
More than 200 special predefined functions, arithmetic or transcendental, are implemented, in addition to
the usual arithmetic operations, which can be used without paying attention to the type of the object. The
source uses more than 32000 lines of code, mainly in C.
PARI can be used as a library, but possesses also a powerful calculator mode which gives instant access
to all the types and functions. In this mode, one can write programs with a simple syntax a little similar to
C, but taking also LISP-like constructs.
The main advantage of PARI is its speed. On a Unix platform, it is between 5 to 100 times faster than
Maple or Mathematica, depending on the applications. Also it is specially tailored for use by number
theorists, hence contains a large number of predefined number-theoretical functions not found in other
systems. It can of course profitably be used by other people as well. Finally, it is free.
Currently, PARI is available for PC, Amiga, Macintosh, and most Unix platforms by anonymous ftp at
megrez.ceremab.u-bordeaux.fr in the directory pub/pari . The current version of PARI is 1.39 (Jan.
1995).
The email address of the PARI group is pari@ceremab.u-bordeaux.fr .
● PARI description
● Original FTP site in Bordeaux
● Download Files (local site)
Problem Links
● Factoring and Primality Testing (9)
● Arbitrary Precision Arithmetic (9)
About the Book
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