GMP is a free library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating-point numbers. There is no practical limit to the precision except the ones implied by the available memory in the machine GMP runs on. GMP has a rich set of functions, and the functions have a regular interface.
The main target applications for GMP are cryptography applications and research, Internet security applications, algebra systems, computational algebra research, etc.
GMP is carefully designed to be as fast as possible, both for small operands and for huge operands. The speed is achieved by using fullwords as the basic arithmetic type, by using fast algorithms, with highly optimised assembly code for the most common inner loops for a lot of CPUs, and by a general emphasis on speed.
The first GMP release was made in 1991. It is continually developed and maintained, with a new release about once a year.
Since version 6, GMP is distributed under the dual licenses, GNU LGPL v3 and GNU GPL v2. These licenses make the library free to use, share, and improve, and allow you to pass on the result. The GNU licenses give freedoms, but also set firm restrictions on the use with non-free programs.
GMP is part of the GNU project. For more information about the GNU project, please see the official GNU web site.
GMP's main target platforms are Unix-type systems, such as GNU/Linux, Solaris, HP-UX, Mac OS X/Darwin, BSD, AIX, etc. It also is known to work on Windows in both 32-bit and 64-bit mode.
GMP is brought to you by a team listed in the manual.
GMP is carefully developed and maintained, both technically and legally. We of course inspect and test contributed code carefully, but equally importantly we make sure we have the legal right to distribute the contributions, meaning users can safely use GMP. To achieve this, we will ask contributors to sign paperwork where they allow us to distribute their work.
There are several categories of functions in GMP:
mpz). There are about 150 arithmetic and logic functions in this category.
mpq). This category consists of about 35 functions, but all
mpzfunctions can be used too, by applying them to the numerator and denominator separately.
mpf). This is the GMP function category to use if the C type `double' doesn't give enough precision for an application. There are about 70 functions in this category. New projects should strongly consider using the much more complete GMP extension library mpfr instead of mpf.
mpncategory. No memory management is performed; the caller must ensure enough space is available for the results. The set of functions is not always regular, nor is the calling interface. These functions accept input arguments in the form of pairs consisting of a pointer to the least significant word, and an integral size telling how many limbs (= words) there are in that argument. The functions in the other categories call mpn for almost all their calculations. Of these functions about 60 are public.
GMP 6.1.2 lz, 1939430 bytes xz, 1946336 bytes bz2, 2386766 bytes Main site, gmplib.org, via https gmp-6.1.2.tar.lz gmp-6.1.2.tar.xz gmp-6.1.2.tar.bz2 USA, ftp.gnu.org, via https gmp-6.1.2.tar.lz gmp-6.1.2.tar.xz gmp-6.1.2.tar.bz2
To try to verify that the file you have downloaded has not been tampered
with, you can check that the GnuPG signature matches the contents of the file.
GnuPG software or a
key server directly to get the key that was
used for creating the signature. Starting from the repackaging of gmp-5.1.0 as
gmp-5.1.0a.tar.* the following key is used to sign GMP releases:
Key ID: 0x28C67298
Key type: 2560 bit RSA
Fingerprint: 343C 2FF0 FBEE 5EC2 EDBE F399 F359 9FF8 28C6 7298
Instead of using a release, you may also get the latest code from the GMP repositories. This will require some more work compared to using a release.
Please first see the manual on how to report bugs. The proper address for bug reports is gmp-bugs at gmplib.org.
Most problems with GMP these days are due to problems not in GMP, but with the compiler used for compiling the GMP sources. This is a major concern to the GMP project, since an incorrect computation is an incorrect computation, whether caused by a GMP bug or a compiler bug. We fight this by making the GMP testsuite have great coverage, so that it should catch every possible miscompilation.
List Subscribe URL Archive URL Purpose gmp-bugs gmplib.org/mailman/listinfo/gmp-bugs gmplib.org/list-archives/gmp-bugs/ Bug reports (not questions!). See manual. gmp-announce gmplib.org/mailman/listinfo/gmp-announce gmplib.org/list-archives/gmp-announce/ Announcements from the developers (very little traffic) gmp-discuss gmplib.org/mailman/listinfo/gmp-discuss gmplib.org/list-archives/gmp-discuss/ Questions, Help, Discussions gmp-devel gmplib.org/mailman/listinfo/gmp-devel gmplib.org/list-archives/gmp-devel/ Technical discussions between developers gmp-commit gmplib.org/mailman/listinfo/gmp-commit gmplib.org/list-archives/gmp-commit/ Commit messages
Note that we perform spam and virus filtering of these lists. The lists have been 100% spam-free during the last years.
You cannot subscribe an AOL address to any GMP mailing list, since AOL blocks our mail server until we register with them as a "bulk mailer", something we will certainly never do.
We're blocking all mail from PR China, since 99% of the spam arriving to the GMP moderators emanates from PR China. If you are affected but have a legitimate reason to send mail to the GMP project, e.g., if you work at a university or corporation with an interest in GMP, please let us know; we will open access for you.
The current stable release is 6.1.2, released 2016-12-16.
Ryzen CPU caution: The AMD Ryzen CPUs sold in spring and early summer 2017 have serious bugs which make any software run very unreliably. One experiences spurious segfaults and system hangs from building as well as running GMP. As of 2017-08-11 AMD has not disclosed the full ramifications of these bugs, and they refuse to recall faulty CPUs. Instead, they replace CPUs on a case-by-case basis after asking each customer to run in exhausting circles for a few weeks. They have invented a newspeak term for these bugs, Performance Marginality Problem.
mpn_set_stris incorrect and incomplete wrt allocation requirements. Patch.
mpn_sbpi1_div_r_seccompute incorrect results for some operands. With uniformly distributed random operands, the error is very hard to trigger, and for the intended use of these functions, operands can be expected to appear as such random operands from these functions' perspective. Patch.
mpz_powm_uicomputes garbage if the base argument is over 15000 decimal or the mod argument is at least 7500 decimal digits. No other GMP powm function is affected. Patch.
distchecktarget which creates a world-writable directory. This target is not used in the GMP release process, but it is a potential security problem affecting users who invoke this make target. This problem (and no other) is corrected in the gmp-5.1.0a.tar.* set of files.
For patches to older GMP versions, please see the Info on older GMP releases.
Please see the GMPng page for information on what we're working on.