Fast Library for Number Theory

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Pythagoras0 (토론 | 기여)님의 2021년 2월 17일 (수) 01:28 판
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말뭉치

  1. FLINT also has the aim of providing support for multicore and multiprocessor computer architectures, though we do not yet provide this facility.[1]
  2. FLINT is currently maintained by William Hart of Warwick University in the UK.[1]
  3. FLINT 2 and following should compile on any machine with GCC and a standard GNU toolchain, however it is specially optimized for x86 (32 and 64 bit) machines.[1]
  4. As of version 2.0 FLINT required GCC version 2.96 or later, MPIR 2.1.1 or later and MPFR 3.0.0 or later.[1]
  5. SageMath is an open source mathematics system based on Python, allowing to run R functions, but also providing access to systems like Maxima, GAP, FLINT, and many more math programs.[2]
  6. We discuss FLINT (Fast Library for Number Theory), a library to support computations in number theory, including highly optimised routines for polynomial arithmetic and linear algebra in exact rings.[3]
  7. FLINT started life as a pure C, threadsafe, fast version of NTL.[4]
  8. As a result of our experiences, we outlined the following goals for the FLINT project, which remain its goals today.[4]
  9. Already a recursive implementation of the FLINT FFT gave a 30% speed up.[4]
  10. Since the release of FLINT 2 we have been using an integer format (fmpz) which takes a single machine word to hold a small integer.[4]
  11. FLINT was licensed GPL v2+ up to and including version 2.5.[5]
  12. In addition, FLINT provides various low-level routines for fast arithmetic.[5]
  13. FLINT is written in ANSI C and runs on many platforms (including Linux, Mac OS X and Windows on common hardware configurations), but is currently mostly optimised for x86 and x86-64 CPUs.[5]
  14. FLINT has been used for large scale computations in number theory research (for example: A Trillion Triangles), and is also suited as a general-purpose backend for computer algebra systems.[5]
  15. At this stage FLINT consists mainly of fast integer and polynomial arithmetic and linear algebra.[6]
  16. In the future it is planned that FLINT will contain algorithms for algebraic number theory and other number theoretic functionality.[6]

소스

  1. ↑ 1.0 1.1 1.2 1.3 CiteSeerX — FLINT -- Fast Library for Number Theory
  2. ↑ CRAN Task View: Numerical Mathematics
  3. ↑ Mathematical software
  4. ↑ 4.0 4.1 4.2 4.3 FLINT : Fast library for number theory
  5. ↑ 5.0 5.1 5.2 5.3 FLINT: Fast Library for Number Theory
  6. ↑ 6.0 6.1 wbhart/flint2: FLINT (Fast Library for Number Theory)

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Spacy 패턴 목록

  • [{'LOWER': 'fast'}, {'LOWER': 'library'}, {'LOWER': 'for'}, {'LOWER': 'number'}, {'LEMMA': 'theory'}]
  • [{'LEMMA': 'FLINT'}]
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