• LAPACK

  • Referenced in 1647 articles [sw00503]
  • Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general ... moving data instead of doing useful floating-point operations. LAPACK addresses this problem by reorganizing...
  • cheney-kincaid

  • Referenced in 25 articles [sw11656]
  • pedagogical reasons. The discussion of floating-point number representation has been revised and simplified. Richardson...
  • NetCDF

  • Referenced in 24 articles [sw04611]
  • ways of storing integers, characters, and floating-point numbers. Scalable. A small subset...
  • MACHAR

  • Referenced in 22 articles [sw00539]
  • operates correctly on a large number of different floating-points systems, including those implementing...
  • MPFR

  • Referenced in 213 articles [sw03312]
  • ANSI/IEEE-754 standard for double-precision floating-point arithmetic (53-bit significand). MPFR is free ... Agence de Protection des Programmes under the number IDDN...
  • Arb

  • Referenced in 45 articles [sw07822]
  • library for arbitrary-precision floating-point ball arithmetic, developed by Fredrik Johansson (fredrik.johansson@gmail.com). It supports ... special functions over the real and complex numbers, with automatic, rigorous error control...
  • CAMPARY

  • Referenced in 5 articles [sw15156]
  • develop CAMPARY: a multiple-precision floating-point arithmetic library using the CUDA programming language ... precision is extended by representing real numbers as the unevaluated ... several standard machine precision floating-point numbers. We make use of error-free transforms addition ... simplicity of using hardware highly optimized floating-point operations, while also allowing for rigorously proven...
  • Algorithm 908

  • Referenced in 5 articles [sw20215]
  • exact summation of a stream of floating-point numbers. By “online” we mean that...
  • NodePy

  • Referenced in 4 articles [sw12306]
  • SymPy’s Rational class) when available, floating-point numbers otherwise. Where necessary, method properties ... order” of a method with floating-point coefficients is determined by checking whether the order...
  • MAPC

  • Referenced in 23 articles [sw04990]
  • number of approaches to increase the efficiency of manipulation on these points. MAPC is meant ... provide a usable implementation of points and curves in the plane. It is meant ... provide a way to represent points and curves without having to worry about the details ... polynomials with floating-point, multiprecision integer, or multiprecision rational coefficients. Algebraic numbers represented...
  • Rmpfr

  • Referenced in 11 articles [sw11599]
  • Rmpfr: R MPFR - Multiple Precision Floating-Point Reliable. Rmpfr provides (S4 classes and methods ... point numbers. To this end, it interfaces to the LGPL’ed MPFR (Multiple Precision Floating...
  • CR-LIBM

  • Referenced in 4 articles [sw18090]
  • returned result is always the floating-point number that is closest to the exact result...
  • advanpix

  • Referenced in 38 articles [sw07221]
  • MATLAB with a new multiple precision floating-point numeric type and extensive set of mathematical ... computing with arbitrary precision. The multiprecision numbers and matrices can be seamlessly used in place...
  • FloatingPointConversion

  • Referenced in 3 articles [sw33340]
  • conversions in the area of floating-point numbers and the second one, the IntervalArithmetic library ... well as supports computations in the floating-point interval arithmetic with a suitable CInterval class...
  • LOOK

  • Referenced in 12 articles [sw02276]
  • floating-point filter techniques and a lazy evaluation scheme with the exact number types provided ... first kernel design which uses floating-point filter techniques on the level of geometric constructions...
  • MPFRCPP

  • Referenced in 2 articles [sw33400]
  • MPFR provides arbitrary precision arithmetic on floating-point numbers. MPFRCPP overloads operators, functions and represents...
  • ESOLID

  • Referenced in 11 articles [sw15824]
  • those found in a traditional inexact floating-point based modeler. We describe the system architecture ... implementing the algorithms. We also describe a number of techniques that increase the efficiency ... based on lazy evaluation, use of floating-point filters, arbitrary floating-point arithmetic with error...
  • mpmath

  • Referenced in 42 articles [sw05802]
  • pure-Python library for arbitrary-precision floating-point arithmetic. It implements the standard functions from ... exponent sizes, has full support for complex numbers, and offers better performance than Python...
  • DPE

  • Referenced in 1 article [sw24986]
  • library provides floating-point numbers with large exponents. A DPE number is represented ... where d is a floating-point number in [1/2, 1), and e is the corresponding...
  • DoubleDouble.jl

  • Referenced in 1 article [sw33662]
  • extended-precision arithmetic using pairs of floating-point numbers. This is commonly known as ”double ... DoubleDouble.jl will actually work for any floating-point type. Its aim is to provide accurate...