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. GMP is distributed under the GNU LGPL. This license makes the library free to use, share, and improve, and allows you to pass on the result. The license gives freedoms, but also sets 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.

References in zbMATH (referenced in 282 articles )

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  1. Cuesta, Fernando Alcalde; Guerberoff, Gustavo; Rojo, Álvaro Lozano: Bernoulli and binomial proliferation on evolutionary graphs (2022)
  2. Wang, Chen: An analytic proof of the Borwein conjecture (2022)
  3. Abbott, John; Bigatti, Anna Maria; Robbiano, Lorenzo: Ideals modulo a prime (2021)
  4. Andrejić, Vladica; Bostan, Alin; Tatarevic, Milos: Improved algorithms for left factorial residues (2021)
  5. Berthomieu, Christian Eder, Mohab Safey El Din: msolve: A Library for Solving Polynomial Systems (2021) arXiv
  6. Eifler, Leon; Gleixner, Ambros: A computational status update for exact rational mixed integer programming (2021)
  7. Gleixner, Ambros; Hendel, Gregor; Gamrath, Gerald; Achterberg, Tobias; Bastubbe, Michael; Berthold, Timo; Christophel, Philipp; Jarck, Kati; Koch, Thorsten; Linderoth, Jeff; Lübbecke, Marco; Mittelmann, Hans D.; Ozyurt, Derya; Ralphs, Ted K.; Salvagnin, Domenico; Shinano, Yuji: MIPLIB 2017: data-driven compilation of the 6th mixed-integer programming library (2021)
  8. Shoup, Victor: Arithmetic software libraries (2021)
  9. Taleb, Abdul Rahman; Vergnaud, Damien: Speeding-up verification of digital signatures (2021)
  10. Alexander Raß: High Precision Particle Swarm Optimization Algorithm (HiPPSO) (2020) not zbMATH
  11. Bertsimas, Dimitris; Sturt, Bradley: Computation of exact bootstrap confidence intervals: complexity and deterministic algorithms (2020)
  12. Brini, Andrea: Exterior powers of the adjoint representation and the Weyl ring of (E_8) (2020)
  13. Delanoue, Nicolas; Lhommeau, Mehdi; Lagrange, Sébastien: Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis (2020)
  14. Dorp, Johannes Vom; Gathen, Joachim von Zur; Loebenberger, Daniel; Lühr, Jan; Schneider, Simon: Comparative analysis of random generators (2020)
  15. Falcón, Raúl M.; Stones, Rebecca J.: Enumerating partial Latin rectangles (2020)
  16. Fernandez, Bastien: Computer-assisted proof of loss of ergodicity by symmetry breaking in expanding coupled maps (2020)
  17. Kim, Jangho; Pham, Anh Quang; Philipsen, Owe; Scheunert, Jonas: The SU(3) spin model with chemical potential by series expansion techniques (2020)
  18. Mathur, Umang; Bauer, Matthew S.; Chadha, Rohit; Sistla, A. Prasad; Viswanathan, Mahesh: Exact quantitative probabilistic model checking through rational search (2020)
  19. Perry, John: A dynamic F4 algorithm to compute Gröbner bases (2020)
  20. Sander, Oliver: DUNE -- the distributed and unified numerics environment (2020)

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