Results 11 to 20 of about 69,255 (288)

Computing Integer Powers in Floating-Point Arithmetic [PDF]

open access: yes2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers, 2007
We introduce two algorithms for accurately evaluating powers to a positive integer in floating-point arithmetic, assuming a fused multiply-add (fma) instruction is available.
Kornerup, Peter   +2 more
core   +5 more sources

Floating-point arithmetic

open access: yesActa Numerica, 2023
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computations, and they have thus become the most common way of approximating real numbers in computers. The IEEE-754 Standard has played a large part in making floating-point arithmetic ubiquitous today, by specifying its semantics in a strict yet useful way as ...
Boldo, Sylvie   +3 more
openaire   +1 more source

Implementation of a Fuel Estimation Algorithm Using Approximated Computing

open access: yesJournal of Low Power Electronics and Applications, 2022
The rising concerns about global warming have motivated the international community to take remedial actions to lower greenhouse gas emissions. The transportation sector is believed to be one of the largest air polluters.
Imed Ben Dhaou
doaj   +1 more source

Design and Implementation of POSIT Based Adder and Multiplier in Verilog HDL [PDF]

open access: yesE3S Web of Conferences, 2023
Due to recent developments, the POSIT number system, winch has been planned as a successor for numbers that are expressed in IEEE floating-point, which are in the focus of advances in arithmetic.
Sanivarapu Rambabu   +5 more
doaj   +1 more source

Optimal Controller and Filter Realisations using Finite-precision, Floating- point Arithmetic. [PDF]

open access: yes, 2005
The problem of reducing the fragility of digital controllers and filters implemented using finite-precision, floating-point arithmetic is considered.
Chen, Sheng   +3 more
core   +1 more source

Innocuous Double Rounding of Basic Arithmetic Operations

open access: yesJournal of Formalized Reasoning, 2014
Double rounding occurs when a floating-point value is first rounded to an intermediate precision before being rounded to a final precision. The result of two such consecutive roundings can differ from the result obtained when directly rounding to the ...
Pierre Roux
doaj   +1 more source

Detecting Floating-Point Expression Errors Based Improved PSO Algorithm

open access: yesIET Software, 2023
The use of floating-point numbers inevitably leads to inaccurate results and, in certain cases, significant program failures. Detecting floating-point errors is critical to ensuring that floating-point programs outputs are proper.
Hongru Yang   +4 more
doaj   +1 more source

Optimistic Parallelization of Floating-Point Accumulation [PDF]

open access: yes, 2007
Floating-point arithmetic is notoriously non-associative due to the limited precision representation which demands intermediate values be rounded to fit in the available precision.
DeHon, André, Kapre, Nachiket
core   +4 more sources

Number Formats, Error Mitigation, and Scope for 16‐Bit Arithmetics in Weather and Climate Modeling Analyzed With a Shallow Water Model

open access: yesJournal of Advances in Modeling Earth Systems, 2020
The need for high‐precision calculations with 64‐bit or 32‐bit floating‐point arithmetic for weather and climate models is questioned. Lower‐precision numbers can accelerate simulations and are increasingly supported by modern computing hardware.
M. Klöwer, P. D. Düben, T. N. Palmer
doaj   +1 more source

A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range [PDF]

open access: yes, 2008
A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double format) and fast floating point operations as well as exact dot product ...
Blomquist, Frithjof, Hofschuster, Werner
core   +1 more source

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