MPIR: Multiple Precision Integers and Rationals

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Authors and credits

Authors

MPIR has been developed since 2008 by a large number of people. It is currently maintained by William Hart. The main developers include William Hart, Brian Gladman and Jason Moxham (until 2012).

The authors of MPIR to date (including code merged from the main GMP project since MPIR 1.0):

• Brian Gladman - Windows MSVC port and intel format x86_64 code
• Jason Moxham - Very significant and extensive improvements to the assembly code on numerous processors.
• William Hart - Build system modifications and intel format x86_64 code, some work on Toom 4 and Toom 7 code, extended GCD version of Möller's fast GCD code
• Pierrick Gaudry - AMD 64 assembly support, revised FFT code
• Gonzalo Tornaria - Patches to config.guess, cpuid.c and help with build testing
• Jason Worth Martin - Core 2 assembly support, merge of Möller's GCD patches
• Michael Abshoff - Build system patches, valgrinding, build testing
• Niels Möller - Fast GCD patches, nhgcd2.c, contributions to the schoolbook and divide and conquer division code, jacobi symbols
• Burcin Erocal - help with build testing on Pentium-D
• Mariah Lennox - improvements to mpirbench and help with build testing on numerous systems, maintenance of a build farm including installing compiler snapshots
• Marco Bodrato - mpz implementation of Toom 7, mpn implementation of toom 8.5, contributed to Schoolbook division code many improved number theoretical functions factorial, multi-factorial, primorial, n-choose-k
• Marc Glisse - gmpxx.h improvements
• Martin Boij - Miscellaneous improvements to nextprime code
• Paul Zimmermann - mpz implementation of Toom 4, FFT code, invert.c, rootrem
• William Stein - build testing on certain platforms
• Jeff Gilchrist - porting of T. R. Nicely's code to MPIR, build testing on Windows
• David Kirkby - Build testing on Sun servers
• Case van Horsen - Build testing on MinGW and Cygwin
• Anonymous Japanese contributor - assembly code improvements
• Marshall Hampton - reported a build issue on recent apple machines
• Robert Gerbicz - Fast root detection, factorial and binomial coefficient computation
• David Harvey - Middle product and divide and conquer approximate quotient (see release notes for MPIR 1.3 here for details), some work on basecase division
• Paul Zimmermann, Pierrick Gaudry, Alexander Kruppa, Torbjörn Granlund - new FFT code
• Peter Shrimpton - BPSW primality test code for integers up to GMP_LIMB_BITS
• T.R.Nicely - Primality test code used in the MPIR benchmark program
• Minh Van Nguyen - served as release manager for MPIR 2.1.0
• Alexander Kruppa - Skylake, Bulldozer, Haswell assembly support and superoptimisation
• Torbjörn Granlund - schoolbook and divide and conquer division code (reused in asymptotically fast division code), logops, rootrem, tdiv_q, tdiv_qr, linear division code for x86_64, itanium assembly code, divexact, nextprime, n-choose-k, binvert, mullow_n_basecase, powlo, redc_n, powm, powm_ui improvements
• Jens Nurmann - Skylake assembly support
• Alex Best - Assembly superoptimiser
• Vincent Delecroix - port of mpq_cmp_z from gmp
• David Cleaver - Bug report
• JP Flori - Many build system patches, tuning values, port of GMP mpz_powm and mpz_powm_ui to MPIR
• Sisyphus (Rob) - Tuning values
• Leif Lionhardy - Build system patches, tuning values
• Julien Puydt - Tuning values
• sav-ix (Alexander) - patch for t-locale on Windows
• Isuru Fernando - Tuning values
• Alex Dyachenko - mpir.net for interface to .net languages
• Tommy Hoffman - Supplied a sed patch.
• Averkhaturau - Fixed a C++ compilation problem.
• Marcell Keller - Fixed a sign conversion bug.
• Sergey Taymanov - Fixed some Windows build file issues.
• jengelh - Reported a bug and helped with build testing.

Citing MPIR

If your research depends on computations done with MPIR, please consider giving a formal citation.

• B. Gladman, W. Hart, J. Moxham, et al. MPIR: Multiple Precision Integers and Rationals, 2015. version 2.7.0, A fork of the GNU MP package (T. Granlund et al.) http://mpir.org.

@misc{mpir,
    author = {B. Gladman, W. Hart and J. Moxham, et al.},
    title = {{MPIR}: {M}ultiple {P}recision {I}ntegers and {R}ationals},
    year = {2015},
    note = {Version 2.7.0, \url{http://mpir.org}}
}

If you depend on a specific algorithm, please also consider citing the paper where that algorithm is described (if available), and consider also citing the official GNU MP project separately.

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