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 236 articles )

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  1. Bijnens, Johan; Hermansson-Truedsson, Nils; Wang, Si: The order (p^8) mesonic chiral Lagrangian (2019)
  2. Covanov, Svyatoslav; Thomé, Emmanuel: Fast integer multiplication using generalized Fermat primes (2019)
  3. Harvey, David; van der Hoeven, Joris: Faster integer multiplication using plain vanilla FFT primes (2019)
  4. Sanders, Peter; Mehlhorn, Kurt; Dietzfelbinger, Martin; Dementiev, Roman: Sequential and parallel algorithms and data structures. The basic toolbox (2019)
  5. Asadi, Mohammadali; Brandt, Alexander; Moir, Robert H. C.; Moreno Maza, Marc: Sparse polynomial arithmetic with the BPAS library (2018)
  6. Brent, Richard P.; Yedidia, Adam B.: Computation of maximal determinants of binary circulant matrices (2018)
  7. Catalano, Dario; Di Raimondo, Mario; Faro, Simone: Verifiable pattern matching on outsourced texts (2018)
  8. de Hon, Bastiaan P.; Floris, Sander J.; Arnold, John M.: No-neighbours recurrence schemes for space-time Green’s functions on a 3D simple cubic lattice (2018)
  9. Donà, Pietro; Sarno, Giorgio: Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory (2018)
  10. Fasi, Massimiliano; Higham, Nicholas J.: Multiprecision algorithms for computing the matrix logarithm (2018)
  11. Fukasawa, Ricardo; Poirrier, Laurent; Xavier, Álinson S.: Intersection cuts for single row corner relaxations (2018)
  12. Gamby, Ask Neve; Katajainen, Jyrki: Convex-hull algorithms: implementation, testing, and experimentation (2018)
  13. Immler, Fabian: A verified ODE solver and the Lorenz attractor (2018)
  14. Johansson, Fredrik; Mezzarobba, Marc: Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights (2018)
  15. Muller, Jean-Michel; Brunie, Nicolas; de Dinechin, Florent; Jeannerod, Claude-Pierre; Joldes, Mioara; Lefèvre, Vincent; Melquiond, Guillaume; Revol, Nathalie; Torres, Serge: Handbook of floating-point arithmetic (2018)
  16. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for symmetric eigenvalue decomposition (2018)
  17. Scott, Michael: Missing a trick: Karatsuba variations (2018)
  18. Wood, Alexander; Shpilrain, Vladimir; Najarian, Kayvan; Mostashari, Ali; Kahrobaei, Delaram: Private-key fully homomorphic encryption for private classification (2018)
  19. Akaiwa, Kanae; Nakamura, Yoshimasa; Iwasaki, Masashi; Yoshida, Akira; Kondo, Koichi: An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues (2017)
  20. Anders Jensen, Jeff Sommars, Jan Verschelde: Computing Tropical Prevarieties in Parallel (2017) arXiv

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