Fast Library for Number Theory

Fast Library for Number Theory

Infobox Software
name = FLINT
developer = William Hart and David Harvey
latest_release_version = 1.0.9
latest_release_date = March 11, 2008
programming language = C
operating_system = POSIX systems
genre = Mathematical software
license = GNU General Public License
website = [http://flintlib.org/ flintlib.org]

The Fast Library for Number Theory (FLINT) is a highly optimized C library for number theory applications. The two major areas of functionality currently implemented in FLINT are polynomial arithmetic over the integers and a quadratic sieve. The library is designed to be compiled with the GNU Multi-Precision Library (GMP) and is released under the GNU General Public License. It is developed by William Hart of the University of Warwick and David Harvey of Harvard University to address the speed limitations of the Pari and NTL libraries. [Page 10 of the [http://wstein.org/grants/sage-06/project_description.pdf Project Description] for [http://wstein.org/grants/sage-06/ UW 2006 COMPMATH Proposal] by William Stein]

Motivation

Design Philosophy

Asymptotically Fast Algorithms

Implementations Fast as or Faster than Alternatives

Written in Pure C

Reliance on GMP

Extensively Tested

Extensively Profiled

Support for Parallel Computation

Functionality

Polynomial Arithmetic over the Integers

Quadratic Sieve

Impact

Future Development

References

* [http://flintlib.org/flint-1.0.9.pdf FLINT 1.0.9: Fast Library for Number Theory] by William Hart and David Harvey
* [http://alita.msri.org:8080/13276/13276-13276-QuickTime.mov Video] of the talk Parallel Computation in Number Theory (January 30,2007) by William Hart
* [http://sage.math.washington.edu/sd4video/david_harvey.mov Video] of the talk [http://wiki.sagemath.org/days4schedule?action=AttachFile&do=get&target=flint-talk.pdf FLINT and Fast Polynomial Arithmetic] (June 13, 2007) By David Harvey
* [http://video.google.com/videoplay?docid=-5481874090998683168 Video] of the talk A short talk on short division (October 1, 2007) by William Hart
* [http://sage.math.washington.edu/home/was/sagedays6/medium/M2U00220.mp4 Video] of the talk Algebraic Number Theory with FLINT (November 11, 2007) by William Hart
* Pages 2 and 6–9 of William Hart's grant proposal [http://sage.math.washington.edu/home/wbhart/fullproposal.pdf Algorithms for Algebraic Number Theory]


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