This paper presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library. Its particularity is to extend ideas from the IEEE-754 standard to arbitrary precision, by providing correct rounding and exceptions. We demonstrate how these strong semantics are achieved | with no signicant slowdown with respect to other tools | and discuss a few applications where such a library can be useful
International audienceNumerical programs with IEEE 754 floating-point computations may suffer from i...
International audienceSIPE (Small Integer Plus Exponent) is a mini-library in the form of a C header...
International audienceWe give a survey on packages for multiple precision interval arithmetic, with ...
International audienceThis paper presents a multiple-precision binary floating-point library, writte...
Conference URL: http://cca-net.de/rnc6/We study the multiple-precision addition of two positive floa...
International audienceWe describe algorithms used to optimize the GNU MPFR library when the operands...
International audienceWe present a fast algorithm together with its low-level implementation of corr...
GNU MPFR is an efficient arbitrary-precision floating-point library with well-defined semantics (cop...
We give here the results of a four-year search for the worst cases for correct rounding of the major...
The representation formats and behaviors of floating point arithmetics available in computers are de...
Sipe is a mini-library in the form of a C header file, to perform radix-2 floating-point computation...
International audienceMany scientific computing applications demand massive numerical computations o...
International audienceThe most well-known feature of floating-point arithmetic is the limited precis...
We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that is not ...
International audienceThe 2008 revision of the IEEE-754 standard, which governs floating-point arith...
International audienceNumerical programs with IEEE 754 floating-point computations may suffer from i...
International audienceSIPE (Small Integer Plus Exponent) is a mini-library in the form of a C header...
International audienceWe give a survey on packages for multiple precision interval arithmetic, with ...
International audienceThis paper presents a multiple-precision binary floating-point library, writte...
Conference URL: http://cca-net.de/rnc6/We study the multiple-precision addition of two positive floa...
International audienceWe describe algorithms used to optimize the GNU MPFR library when the operands...
International audienceWe present a fast algorithm together with its low-level implementation of corr...
GNU MPFR is an efficient arbitrary-precision floating-point library with well-defined semantics (cop...
We give here the results of a four-year search for the worst cases for correct rounding of the major...
The representation formats and behaviors of floating point arithmetics available in computers are de...
Sipe is a mini-library in the form of a C header file, to perform radix-2 floating-point computation...
International audienceMany scientific computing applications demand massive numerical computations o...
International audienceThe most well-known feature of floating-point arithmetic is the limited precis...
We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that is not ...
International audienceThe 2008 revision of the IEEE-754 standard, which governs floating-point arith...
International audienceNumerical programs with IEEE 754 floating-point computations may suffer from i...
International audienceSIPE (Small Integer Plus Exponent) is a mini-library in the form of a C header...
International audienceWe give a survey on packages for multiple precision interval arithmetic, with ...