A quad-double number is an unevaluated sum of four IEEE double precision numbers, capable of representing at least 212 bits of significance. We present the algorithms for various arithmetic operations (including the four basic operations and various algebraic and transcendental operations) on quad-double numbers. The performance of the algorithms, implemented in C++, is also presented
This article presents a finite precision (floating point) arithmetic with heuristic guarantees of co...
We present algorithms for performing the four elementary arithmetic operations (+, -, ×, and ÷) in f...
(eng) We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that i...
A quad-double number is an unevaluated sum of four IEEE double precision numbers, capable of repres...
Double precision floating-point arithmetic is inadequate for many scientific computations. This pape...
International audienceMany numerical problems require a higher computing precision than the one offe...
We present an algorithm for implementing correctly rounded exponentials in double-precision floating...
This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which ...
Exact computer arithmetic has a variety of uses including, but not limited to, the robust implementa...
International audienceSome important computational problems must use a floating-point (FP) precision...
International audienceThis handbook is a definitive guide to the effective use of modern floating-po...
Abstract: In basic computational physics classes, students often raise the question of how to comput...
We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that is not ...
Abstract — Double-float (df64) and quad-float (qf128) numeric types can be implemented on current GP...
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computatio...
This article presents a finite precision (floating point) arithmetic with heuristic guarantees of co...
We present algorithms for performing the four elementary arithmetic operations (+, -, ×, and ÷) in f...
(eng) We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that i...
A quad-double number is an unevaluated sum of four IEEE double precision numbers, capable of repres...
Double precision floating-point arithmetic is inadequate for many scientific computations. This pape...
International audienceMany numerical problems require a higher computing precision than the one offe...
We present an algorithm for implementing correctly rounded exponentials in double-precision floating...
This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which ...
Exact computer arithmetic has a variety of uses including, but not limited to, the robust implementa...
International audienceSome important computational problems must use a floating-point (FP) precision...
International audienceThis handbook is a definitive guide to the effective use of modern floating-po...
Abstract: In basic computational physics classes, students often raise the question of how to comput...
We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that is not ...
Abstract — Double-float (df64) and quad-float (qf128) numeric types can be implemented on current GP...
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computatio...
This article presents a finite precision (floating point) arithmetic with heuristic guarantees of co...
We present algorithms for performing the four elementary arithmetic operations (+, -, ×, and ÷) in f...
(eng) We introduce an algorithm for multiplying a floating-point number $x$ by a constant $C$ that i...