gmp

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 162 articles )

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  1. Anders Jensen, Jeff Sommars, Jan Verschelde: Computing Tropical Prevarieties in Parallel (2017) arXiv
  2. Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson: Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language (2017) arXiv
  3. David Kahle, Christopher O’Neill, Jeff Sommars: A computer algebra system for R: Macaulay2 and the m2r package (2017) arXiv
  4. Genkin, Daniel; Shamir, Adi; Tromer, Eran: Acoustic cryptanalysis (2017)
  5. Kamihigashi, Takashi: 41 counterexamples to property (B) of the discrete time bomber problem (2017)
  6. Beliakov, Gleb; Matiyasevich, Yuri: A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic (2016)
  7. Bellini, Emanuele; Murru, Nadir: An efficient and secure RSA-like cryptosystem exploiting Rédei rational functions over conics (2016)
  8. Breust, Alexis; Chabot, Christophe; Dumas, Jean-Guillaume; Fousse, Laurent; Giorgi, Pascal: Recursive double-size fixed precision arithmetic (2016)
  9. D’Andreagiovanni, Fabio; Gleixner, Ambros M.: Towards an accurate solution of wireless network design problems (2016)
  10. Delanoue, Nicolas; Lhommeau, Mehdi; Lucidarme, Philippe: Numerical enclosures of the optimal cost of the Kantorovitch’s mass transportation problem (2016)
  11. Freedman, Michael J.; Hazay, Carmit; Nissim, Kobbi; Pinkas, Benny: Efficient set intersection with simulation-based security (2016)
  12. Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire: Even faster integer multiplication (2016)
  13. Muller, Jean-Michel: Elementary functions. Algorithms and implementation (2016)
  14. Salazar, R.; Téllez, G.: Exact energy computation of the one component plasma on a sphere for even values of the coupling parameter (2016)
  15. Sivignon, Isabelle: A note on the computation of the fraction of smallest denominator in between two irreducible fractions (2016)
  16. Sousbie, Thierry; Colombi, Stéphane: ColDICE: A parallel Vlasov-Poisson solver using moving adaptive simplicial tessellation (2016)
  17. Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Izu, Tetsuya: Computational hardness of IFP and ECDLP (2016)
  18. Akaiwa, Kanae; Nakamura, Yoshimasa; Iwasaki, Masashi; Tsutsumi, Hisayoshi; Kondo, Koichi: A finite-step construction of totally nonnegative matrices with specified eigenvalues (2015)
  19. Corzilius, Florian; Kremer, Gereon; Junges, Sebastian; Schupp, Stefan; Ábrahám, Erika: SMT-RAT: an open source C++ toolbox for strategic and parallel SMT solving (2015)
  20. Farach-Colton, Martín; Tsai, Meng-Tsung: Exact sublinear binomial sampling (2015)

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