This paper presents a fast and accurate algorithm for printing floating-point numbers in both free- and fixed-format modes. In free-format mode, the algorithm generates the shortest, correctly rounded output string that converts to the same number when read back in, regardless of how the reader breaks ties when rounding. In fixed-format mode, the algorithm generates a correctly rounded output string using special # marks to denote insignificant trailing digits. For both modes, the algorithm employs a fast estimator to scale floating-point numbers efficiently
International audienceThere is a growing interest in the use of reduced-precision arithmetic, exacer...
(eng) We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that i...
We consider the problem of computing IEEE floating-point squares by means of integer arithmetic. We ...
This paper presents a fast and accurate algorithm for printing floating-point numbers in both free- ...
We present algorithms for accurately converting floating-point numbers to decimal representation. Th...
Input/output of data items and information are very common operations performed on computer systems...
Input/output of data items and information are very common operations performed on computer systems....
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computatio...
Abstract. Given a vector of floating-point numbers with exact sum s, we present an algorithm for cal...
Abstract. Most mathematical formulae are defined in terms of operations on real numbers, but compute...
International audienceWe introduce several algorithms for accurately evaluating powers to a positive...
International audienceWe present a fast algorithm together with its low-level implementation of corr...
We introduce an algorithm for multiplying a floating-point number x by a constant C that is not exac...
Abstract. In this Part II of this paper we first refine the analysis of error-free vector transforma...
International audienceThe most well-known feature of floating-point arithmetic is the limited precis...
International audienceThere is a growing interest in the use of reduced-precision arithmetic, exacer...
(eng) We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that i...
We consider the problem of computing IEEE floating-point squares by means of integer arithmetic. We ...
This paper presents a fast and accurate algorithm for printing floating-point numbers in both free- ...
We present algorithms for accurately converting floating-point numbers to decimal representation. Th...
Input/output of data items and information are very common operations performed on computer systems...
Input/output of data items and information are very common operations performed on computer systems....
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computatio...
Abstract. Given a vector of floating-point numbers with exact sum s, we present an algorithm for cal...
Abstract. Most mathematical formulae are defined in terms of operations on real numbers, but compute...
International audienceWe introduce several algorithms for accurately evaluating powers to a positive...
International audienceWe present a fast algorithm together with its low-level implementation of corr...
We introduce an algorithm for multiplying a floating-point number x by a constant C that is not exac...
Abstract. In this Part II of this paper we first refine the analysis of error-free vector transforma...
International audienceThe most well-known feature of floating-point arithmetic is the limited precis...
International audienceThere is a growing interest in the use of reduced-precision arithmetic, exacer...
(eng) We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that i...
We consider the problem of computing IEEE floating-point squares by means of integer arithmetic. We ...